please somebody help​

Please Somebody Help

Answers

Answer 1

The factored forms of the equations and the intercepts would be:

g(x) = x² - 4x - 21:

Factored ⇒ g(x) = (x - 7)(x + 3) x - intercept ⇒ x = 7 or x = -3y - intercept ⇒ (0,- 21)

h(x) = x² + 8x + 12:

Factored ⇒ h(x) = (x + 2)(x + 6) x - intercept ⇒ (-2,0) and (-6,0) y - intercept ⇒ (0 ,12 )

How to find the factored versions and intercepts ?

For g(x) = x² - 4x - 21:

To find the factored form, we need to factor the quadratic expression:

g(x) = (x - 7)(x + 3)

To find the x-intercepts, we set g(x) = 0 and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

To find the y-intercept, we set x = 0 and evaluate g(x):

g(0) = (0 - 7)(0 + 3) = -21

Therefore, the y-intercept of g(x) is (0,-21).

For h(x) = x² + 8x + 12:

h(x) = (x + 2)(x + 6)

To find the x-intercepts, we set h(x) = 0 and solve for x:

(x + 2)(x + 6) = 0

x = -2 or x = -6

To find the y-intercept, we set x = 0 and evaluate h(x):

h(0) = (0 + 2)(0 + 6) = 12

Therefore, the y-intercept of h(x) is (0,12).

Find out more on factored forms at https://brainly.com/question/28139549

#SPJ1


Related Questions

In 2009 A.D., the number of tourist who visited Nepal was 2,50,000. In 2010, was decreased by 5% and in 2011 it was increased by 40%. How many touris visited Nepal in 2011? ​

Answers

There were 332500 tourists who traveled to Nepal in 2011.

What is unitary method?

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

Number of tourists in 2010 = 95% of number of tourists in 2009

= 0.95 x 250000

= 237500

Number of tourists in 2011 = 140% of number of tourists in 2010

= 1.4 x 237500

= 332500

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ1

Ray only wants to cover the lateral area of his paper weight. How many square inches of paper will he need? Round your answer to the nearest square inch.

Answers

The lateral area of this paper weight is 61.42 sq inches.

What is lateral surface area?

Every solid object's lateral area may be calculated using the lateral area formula. Every figure's lateral area only includes the non-base faces. Calculating the lateral surface area of various forms, such as a cuboid, cube, cylinder, cone, or sphere, is made easier with the use of lateral area formulae. The object's base and the face parallel to the base are not included in the lateral area.

The surface area of the composite figure is the addition of the area of all the shapes.

The area of triangle with height 3.5 in is:

A1 = 1/2(6.5)(3.5)

A1 = 11.375 sq. in.

There are two such triangles thus, 2A1 = 2(11.375) = 22.75.

The area of the two triangle with height 6.5 in is:

A2 = 2(1/2)(4.3)(6.5) = 27.95 sq. in.

The area of the rectangle is:

A3 = (l)(w)

A3 = (6.5)(4.2) = 27.3 sq. in.

The total lateral area is:

LA = 11.375 + 22.75 + 27.3 = 61.42 sq inches.

Hence, the lateral area of this paper weight is 61.42 sq inches.

Learn more about lateral area here:

https://brainly.com/question/29089726

#SPJ1

So this question really confuses me LOL SO PLEASE HELP LOL ;-; I WILL GIVE BRAINLIEST

Answers

The proportional equation us y = 2.5x and the constant is 2.5

6 bottles would have a volume of 15 liters.

How to solve an equation?

An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.

Let y represent the volume in liters and x represent the number of bottles.

A proportional relationship is in the form:

y = kx; where k is the constant of proportionality.

From the table, using the value (2, 5):

y = kx

substituting:

5 = 2k

k = 2.5

The proportional equation us y = 2.5x and the constant is 2.5

For 6 bottles:

y = 2.5(6) = 15 liters

6 bottles would have a volume of 15 liters.

Find out more on equation :https://brainly.com/question/13763238

#SPJ1

PLEASE HELP!! ITS DUE IN 40 MINUTES!!


Measure the lengths of the following segments in BOTH centimeters and

millimeters.

Answers

The measure of the lengths of the following line segments using online ruler are given as follows:

KL = 5.11cm or  = 51.1mm

FG = 8.67cm or = 86.7mm

What length?

Length is a physical quantity that refers to the measurement of the extent of an object or distance between two points. It is usually measured in units such as meters, centimeters, or feet.


A line segment is a part of a line that is bounded by two distinct endpoints. It is the shortest distance between two points on a straight line.

To convert cm to mm, we multiply by 10 because there are 10 millimeters in 1 centimeter.

Therefore, to convert 5.11 cm to mm, we can multiply 5.11 by 10:

5.11 cm * 10 = 51.1 mm

So, 5.11 cm is equal to 51.1 mm.

Also to convert 8.67 cm to mm, we can multiply 8.67 by 10:

8.67 cm * 10 = 86.7 mm

So, 8.67 cm is equal to 86.7 mm.

Learn more about line segment on:

https://brainly.com/question/25727583

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question: See attached image.

Can someone help asap with this please?

Answers

By looking at the degree, we conclude that we have 4 roots.

How many roots has the function?

Here we want to see how many roots the function:

x⁴ - 2x³ - 6x² + 22x - 15 = 0

The numer of roots (repeated, complex, or real) is given by the degree of the g

In this case we can see that the maximum exponent is 4, so the degree is 4, which means that we have 4 roots

Learn more about polynomial functions at:

https://brainly.com/question/7693326

#SPJ1

Find g(x), where g(x) is the translation 1 unit left of f(x)=7x–5.

Answers

After answering the given query, we can state that As a result, function  g(x) = 7x + 2 indicates the translation that occurs 1 unit to the left of f(x) = 7x - 5.

what is function?

Mathematicians research numbers, their variations, equations, associated structures, shapes, and possible configurations of these. The relationship between a group of inputs, each of which has a corresponding outcome, is referred to as a "function." A function is a relationship between inputs and outputs where each input results in a unique, distinct output. Each function has a domain, codomain, or scope assigned to it. Functions are commonly denoted by the letter f. (x). An cross is entered. On functions, one-to-one capabilities, so several capabilities, in capabilities, and on functions are the four main categories of available functions.

The function f(x) = 7x - 5 must be translated 1 unit horizontally to the left in order to determine g(x).

In order to solve for f, we must substitute x in the equation with (x + 1) when there is a horizontal translation of 1 unit to the left.(x). This is due to the fact that by replacing x with x + 1, we are actually moving the curve of f(x) to the left by one unit.

So, g(x) = f(x + 1) can be expressed as:

g(x) = 7(x + 1) - 5

g(x) = 7x + 2

As a result, g(x) = 7x + 2 indicates the translation that occurs 1 unit to the left of f(x) = 7x - 5.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Help me ill give you brainliest and extra points Find the average rate of change of g(x)=-x²+4x+2 from x=3 to x=7​

Answers

The average rate of change of g(x) from x = 3 to x = 7 is -5.

To find the average rate of change of the function g(x) = -x² + 4x + 2 over the interval [3, 7], we need to calculate the change in the function values over this interval and divide by the length of the interval.

The change in the function values between x = 3 and x = 7 is:

g(7) - g(3) = (-7² + 47 + 2) - (-3² + 43 + 2) = (-49 + 28 + 2) - (9 + 12 + 2) = -20

Therefore, the average rate of change of g(x) over the interval [3, 7] is:

average rate of change = change in function values / length of interval

= -20 / (7 - 3)

= -5

This means that on average, the function g(x) decreases by 5 units for every 1 unit increase in x over the interval [3, 7].

To know more about average here

https://brainly.com/question/16956746

#SPJ4

The line I passes through the points (3,−4) and (2, 2).
Find the gradient of line L.

Answers

Answer is -6 Gradient or slope

Step by step

The gradient is also known as slope or rate.
The slope can be found with slope formula y2 - y1 over x2 - x1

(3, -4) and (2, 2)

2 - -4 over 2 - 3 = 6/-1 or -6 slope

On a graph you can find rise over run as shown in the attachment. We go down -6 and right +1 = -6/1 or -6.

2. The distance by road from Newport to London is 140 miles. Tom travels by coach from Newport to London. The coach leaves Newport at 1. 30 pm (a) He assumes the coach will travel at an average speed of 50 mph Use his assumption to work out the arrival time in London. ​

Answers

Tom will arrive in London at 4.10 pm, after travelling 140 miles at an average speed of 50 mph.

The formula to calculate the time taken is: Time = Distance/Speed

Using Tom's assumption that the coach is travelling at an average speed of 50 mph, the time taken for the journey from Newport to London can be calculated as follows:

Time = 140 miles/50 mph = 2.8 hours

Therefore, Tom will arrive in London at 1.30 pm + 2.8 hours = 4.10 pm.

To put this in context, it means that the coach will travel at an average speed of 70 km/h, covering a distance of 224 km in 2.8 hours. This is equivalent to covering 80 km in an hour.

Learn more about average speed here:

https://brainly.com/question/28026465

#SPJ4

Determine if triangle BCD and triangle EFG are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale. ) ​

Answers

We can conclude that the triangles are similar, based on the Side-Angel-Side Theorem (SAS).

Hence, the answer is The third option.

Given the triangles EFG and BCD, you can identify that:

By definition, two triangles are similar if the lengths of the corresponding sides are in proportion and their corresponding angles are congruent.

In this case, you can identify that you know two pairs of corresponding sides. Then, you can find that they are in proportion. Set up that:

[tex]\frac{EF}{BC}=\frac{FG}{CD}[/tex]

Substituting values and simplifying, you get:

[tex]\frac{18}{90}=\frac{16}{80}\\\\\frac{1}{5}=\frac{1}{5}[/tex]

Notice that they are in proportion.

You can also identify that the corresponding angles F and I are congruent because they have equal measures.

Therefore, since you know that two sides are proportionate and the included angles are congruent, you can conclude that the triangles are similar, based on the Side-Angel-Side Theorem (SAS).

Hence, the answer is The third option.

learn more about  Side-Angel-Side Theorem (SAS).

https://brainly.com/question/22995265

#SPJ4

 

3x+y=4 pls help me with this i need to get this right

Answers

Answer: y - intercept is c = 4.

Step-by-step explanation:

The line equation is 3x + y = 4.

The slope-intercept form of the line equation is y = mx + c.

Where m is the slope of line c is the y-intercept.

The equation is 3x + y = 4.

subtract 3x  from each side.

y - intercept is c = 4.

Calculate 441 ÷ 3 by using long division​

Answers

Answer:

the answer is 147

Step-by-step explanation:

I have attached a picture with the work. Hope this helps :)

The answer is 147 0 Remainder

EXPLANATION: MY A$* (not that hard lol)

Step 1:

Start by setting it up with the divisor 3 on the left side and the dividend 441 on the right side like this:

Step 2:

The divisor (3) goes into the first digit of the dividend (4), 1 time(s). Therefore, put 1 on top:

Step 3:

Multiply the divisor by the result in the previous step (3 x 1 = 3) and write that answer below the dividend.

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 3 = 1) and write the answer below.

Step 5:

Move down the 2nd digit of the dividend (4) like this:

Step 6:

The divisor (3) goes into the bottom number (14), 4 time(s). Therefore, put 4 on top:

Step 7:

Multiply the divisor by the result in the previous step (3 x 4 = 12) and write that answer at the bottom:

Step 8:

Subtract the result in the previous step from the number written above it. (14 - 12 = 2) and write the answer at the bottom.

Step 9:

Move down the last digit of the dividend (1) like this:

Step 10:

The divisor (3) goes into the bottom number (21), 7 time(s). Therefore put 7 on top:

Step 11:

Multiply the divisor by the result in the previous step (3 x 7 = 21) and write the answer at the bottom:

Step 12:

Subtract the result in the previous step from the number written above it. (21 - 21 = 0) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 441 divided by 3 calculated using Long Division is:

147

0 Remainder

ur welcome dummyboi

The function C (t) = StartFraction 4 t Over t squared + 2 EndFraction models the cost per student of a field trip when x students go on the trip. How is the parent function On a coordinate plane, 3 curves are shown. One curve opens up and to the right in quadrant 1 and goes through (2, 4) and (4, 1). Another curve approaches x = negative 2 in quadrant 2, changes direction at (0, 0), and then decreases in quadrant 4 and approaches y = 2. The third curve opens down and to the left in quadrant 3 and goes through (negative 4, negative 1) and (negative 2, negative 4). transformed to create the function On a coordinate plane, 2 curves are shown. One curve opens up and to the left in quadrant 2 and goes through (negative 4, 8) and (negative 6, 6). Another curve opens down and to the right and goes through (negative 1, negative 3), (0, 0), and (6, 3).?
It is vertically stretched by a factor of 200.
It is vertically stretched by a factor of 200 and shifted 10 units leftt.
It is vertically stretched by a factor of 200 and shifted 10 units up.
It is vertically stretched by a factor of 200 and shifted 10 units right.

Answers

It is vertically stretched by a factor of 200 and shifted 10 units up.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

How do you write a function?

You write functions with the function name followed by the dependent variable.

Learn more about function here: https://brainly.com/question/4025726

Answer:

Step-by-step explanation:

i cant see the answer

A frustum is made by removing a small
rectangular-based pyramid from a similar, larger
pyramid, as shown.
Work out the volume of the frustum.
If your answer is a decimal, give it to 1 d.p.
30 cm
10 cm
6 cm
40 cm
Not drawn accurately

Answers

The volume of the frustum is 19840cm³

What is a frustum?

A frustum is a cut out section of a defined shape. The volume of the frustum is calculated as;

Volume of the Big shape - Volume of the small shape.

The shape here is a pyramid. And the volume of a pyramid is given as ;

1/3 bh

The height of the big pyramid is obtained by using similar shape theorem

10/10+x = 6/30

= 60+6x = 300

6x = 240

x = 240/6 = 40

Therefore the height of the pyramid = 40+10 = 50cm

Therefore volume of the big pyramid = 1/3 × 30×40× 50

= 10× 40 × 50

= 20000cm³

The volume of the small pyramid = 1/3 bh

The width of the small pyramid = 6/30 = x/40

30x = 240

x = 8

= 1/3 × 8× 6× 10

= 8× 2 × 10

= 160cm³

therefore the volume of the frustum = 20000-160

= 19840cm³

learn more about frustum from

https://brainly.com/question/5428945

#SPJ1

Mr. Tomas is making a rectangular concrete pad for shed. The area of a pad is 17. 5 square yards. The length of the pad is 5 yards. What is the width of the pad?

Answers

If the area of a pad is 17. 5 square yards, the length of the pad is 5 yards, the width of the pad is 3.5 yards.

The formula for the area of a rectangle is:

Area = length x width

We know that the area of the pad is 17.5 square yards, and the length is 5 yards. We can use this information to solve for the width.

Let's substitute the values we know into the formula:

17.5 = 5 x width

To solve for the width, we need to isolate it on one side of the equation. We can do this by dividing both sides by 5:

17.5/5 = width

Simplifying the left side gives:

3.5 = width

In conclusion, Mr. Tomas should make a rectangular concrete pad that is 5 yards long and 3.5 yards wide to have an area of 17.5 square yards.

To learn more about width click on,

https://brainly.com/question/19902331

#SPJ4

A cylinder has a volume of 72 cubic inches. What is the volue of a cone with the same height and radius as the cylinder

Answers

A cone with the same height and radius as a cylinder has a volume of 24 cubic inches.

If a cylinder has a volume of 72 cubic inches, we can use the formula for the volume of a cylinder to find its height and radius. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

So, we have:

72 = πr^2h

We can solve this equation for h:

h = 72/(πr^2)

Now, we can use the formula for the volume of a cone to find the volume of a cone with the same height and radius as the cylinder. The formula for the volume of a cone is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.

So, we have:

V = (1/3)πr^2(72/(πr^2))

Simplifying this equation, we get:

V = 24

Therefore, the volume of a cone with the same height and radius as the cylinder is 24 cubic inches.

To learn more about volume of a cone refer to:

brainly.com/question/1984638

#SPJ4

Pls help
Help Algebra1

Answers

The equivalent expression is; 4a^3b(4b - 2a^2b^4 + 3a)

How do we know equivalent expressions?

Two expressions are equivalent when you can manipulate one expression algebraically to transform it into the other expression. For example, you can use the distributive property, combine like terms, factor out common factors, or simplify fractions to show that two expressions are equivalent.

We have the expression;

16a^3b^2 - 8a^5b^5 + 12a^4b

4a^3b(4b - 2a^2b^4 + 3a)

It's important to note that sometimes two expressions may look different, but they can be equivalent under certain conditions or constraints.

Learn more about equivalent expression:https://brainly.com/question/28170201

#SPJ1

Solve for vertex algebraically x^2+4x+6

Answers

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 4}{2(1)}~~~~ ,~~~~ 6-\cfrac{ (4)^2}{4(1)}\right) \implies \left( - \cfrac{ 4 }{ 2 }~~,~~6 - \cfrac{ 16 }{ 4 } \right) \\\\\\ \left( -2 ~~~~ ,~~~~ 6 -4 \right)\implies (-2~~,~~2)[/tex]

A population proportion is 0.61. Suppose a random sample of 659 items is sampled randomly from this population. Appendix A Statistical Tables Answer D and E only! will thumbs up! (Round values of z to 2 decimal places, e.g. 15.25 and final answers to 4 decimal places, e.g. 0.2513.) d. What is the probability that the sample proportion is between 0.56 and 0.59? e. What is the probability that the sample proportion is less than 0.51?

Answers

D)probability that the sample proportion is between 0.56 and 0.59 is 0.7912.

E)Probability that the sample proportion is less than 0.51 is 0.0002

D. To calculate the probability that the sample proportion is between 0.56 and 0.59, we can use the Standard Normal Probability Distribution Table. To do this, we first calculate the standard score, or z-score, for the lower bound and the upper bound of our desired range. The formula for calculating the z-score is:


z = (x - μ) / σ


where x is the value for which you want to find the z-score, μ is the population mean, and σ is the population standard deviation. In this case, x is the sample proportion, μ is 0.61, and σ is 0.01. Therefore, the z-score for the lower bound (0.56) is -2.90, and the z-score for the upper bound (0.59) is -0.33. We can then look up the corresponding probabilities in the Standard Normal Probability Distribution Table. The probability that the sample proportion is between 0.56 and 0.59 is 0.7912.

E. To calculate the probability that the sample proportion is less than 0.51, we can use the same process as above. The z-score for 0.51 is -3.90. We can look up the corresponding probability in the Standard Normal Probability Distribution Table, which is 0.0002. Therefore, the probability that the sample proportion is less than 0.51 is 0.0002.

Learn more about Probability

brainly.com/question/30034780

#SPJ4

A sculpting tool is in the shape of a solid triangular prism. the tool is made of 12 in.3 of metal and is 4 in. long. what is the height of the base if it is 2 in. wide? 1.5 in. 3 in. 48 in. 96 in.

Answers

The height of the base if it is 2 in. wide  is 3 inches. Option B

How to calculate The height of the base

Let's call the height of the triangular base h (in inches).

The volume of the triangular prism can be calculated using the formula:

Volume = (1/2) x Base x Height x Length

In this case, the length is given as 4 inches, the width (or base) is given as 2 inches, and the volume is given as 12 cubic inches. Substituting these values into the formula, we get:

12 = (1/2) x 2 x h x 4

Simplifying this equation, we get:

12 = 4h

Dividing both sides by 4, we get:

h = 3

Therefore, the height of the triangular base is 3 inches.

Learn more about volume at https://brainly.com/question/27710307

#SPJ1

Answer: 3

Step-by-step explanation:

To practice for a competition, Ava swam 0.69 kilometer in the pool each day for 4 weeks. How many meters did Ava swim in those 4 weeks? 1 km = 1,000 m

Answers

Answer:

14490 meters

Step-by-step explanation:

0.69 x 3weeks which is (21) days , so 0.69•21 =14.490km 14.490km=14490 meters

i need help on this question please

Answers

Vοlume οf cylinder is  and when height tripled then its vοlume alsο tripled  but when radius tripled its vοlume becοme  which is nineth times οf οriginal vοlume.

What dο yοu mean by Vοlume?

Vοlume is a mathematical cοncept that refers tο hοw much three-dimensiοnal space an οbject οr clοsed surface οccupies.

Vοlume οf cylinder = πr²h

= π × 4² × 10

= 160π m³

When the height is tripled, h becοmes 3h

So, new height = 3 × 10 = 30m

Volume of a Cylinder (when height is tripled) = π × (4)² × 30

= π × 16 × 30

= 480π m³

When height is tripled then vοlume alsο tripled.



When the radius is tripled, r becοmes 3r

So, new radius = 3 × 4 = 12m

Volume of a Cylinder (when radius is tripled)

= π × (12)² × 10

= 1440 m³

But when radius is tripled the vοlumes becοme Nine times.

To learn more about Volume, visit :

https://brainly.com/question/1578538

#SPJ1

-10+30+58=9-54 X 50-4=

Answers

Why are there so many equals, this equation doesn’t make sense, but I think it’s equal to 78

Answer:

Hi

Step-by-step explanation:

SOLUTION STEPS

−10+30+58=9−54×50−4=

Add −10 and 30 to get 20.

20+58=9−54×50−4

Add 20 and 58 to get 78.

78=9−54×50−4

Multiply 54 and 50 to get 2700.

78=9−2700−4

Subtract 2700 from 9 to get −2691.

78=−2691−4

Subtract 4 from −2691 to get −2695.

78=−2695

Compare 78 and −2695.

events. a. A∣B b. A∣B ′ c. A∣B ' d. Are events A and B independent? a. P(A∣B)= (Round to two decimal places as needed.) b. P(A∣B ′ )= (Round to two decimal places as needed.) c. P(A ′ ∣B ′ )= (Round to two decimal places as needed.) d. Are events A and B independent? A and B are not independent. A and B are independent.

Answers

The A and B are independent then P(A∣B) = P(A).Since P(A) = 0.60 and P(A∣B) = 0.60, it can be said that A and B are not independent.

P(A∣B)= 0.60 (Round to two decimal places as needed.)b. P(A∣B ′ )= 0.45 (Round to two decimal places as needed.)c. P(A ′ ∣B ′ )= 0.20 (Round to two decimal places as needed.)d. Are events A and B independent? A and B are not independent.Explanation:A∣B means that the event A occurs when the event B occurs. P(A∣B) can be defined as the probability of A happening given that B has already occurred. By definition, A and B are independent if P(A∣B) = P(A).a. P(A∣B)= P(A∩B)/P(B)0.60 = 0.36/0.60= 3/5 b. P(A∣B ′ )= P(A∩B ′ )/P(B ′ )0.45 = 0.27/0.60= 9/20c. P(A ′ ∣B ′ )= P(A ′ ∩B ′ )/P(B ′ )0.20 = 0.12/0.60= 1/5d. If A and B are independent then P(A∣B) = P(A).Since P(A) = 0.60 and P(A∣B) = 0.60, it can be said that A and B are not independent.

Learn more about Decimal

brainly.com/question/30958821

#SPJ4



In the figure, three lines intersect at point P. If x = 65 and y = 75, what is the value of z?

Answers

The value of angle Z is 40 degrees. (Option 3). In this problem, we are given that three lines intersect at point P and we need to find the value of angle Z.

We know that angle X is 65 degrees and angle Y is 75 degrees. We also know that all six angles formed by the intersection of the three lines add up to 360 degrees.

Using these facts, we can set up an equation as

2X + 2Y + 2Z = 360.

We can simplify this equation to

X + Y + Z = 180.

We can then substitute the given values of X and Y to get

65 + 75 + Z = 180.

Simplifying this equation, we get Z = 40, which means Z is equal to 40 degrees.

Therefore, the answer is option C.

Learn more about Point Intersection:

https://brainly.com/question/30915785

#SPJ4

Complete Question:

In the figure, 3 lines intersect at point P. If x = 65 and y = 75, what is the value of z?

140804020

What are the multiples of 12, of which the square root is 6

Answers

The only multiple of 12 with a square root of 6 is 12 times 3, or 36 using generate multiples of 12 .

The multiples of 12 are numbers that are divisible by 12 without a remainder. We can generate multiples of 12 by multiplying 12 by any integer. For example, the first few multiples of 12 are 12, 24, 36, 48, 60, and so on.

To find which multiples of 12 have a square root of 6, we can use the following formula:

√(12n) = √(12) * √(n)

Since the square root of 12 is equal to 2 times the square root of 3, we can simplify the formula as follows:

√(12n) = 2 * √(3n)

If the square root of 12n is equal to 6, then we can set up an equation and solve for n:

2 * √(3n) = 6

√(3n) = 3

3n = 9

n = 3

In summary, we can use the formula √(12n) = 2 * √(3n) to find which multiples of 12 have a square root of 6. By solving for n, we find that the only multiple of 12 with a square root of 6 is 36.

To learn more about multiples click on,

https://brainly.com/question/13211100

#SPJ4

Which values in the data set are outliers? Show all work

72, 81, 82, 83, 83, 85, 100, 54, 75, 81,83

List the follow (and show work if needed): Q1, Median, Q3, IQR, Lower Fence, Upper Fence and outliers

Answers

Answer: The outliers are 54 and 100.  

Step-by-step explanation:

And outlier is a number that doesnt belong. Learn more about outliers here https://www.itl.nist.gov/div898/handbook/prc/section1/prc16.htm#:~:text=An%20outlier%20is%20an%20observation,what%20will%20be%20considered%20abnormal.

(If you were also asking about the q1, medians, and q3 please make that a seperate question.

The quadrilateral ABCD has vertices with coordinates A(1,4), B(2,3), C(0,-3) and D(-3,1). Graph ABCD and find its area.​

Answers

The graph of quadrilateral ABCD is attached below and it's area is 25.5 squared units

What is the graph and area of ABCD

To graph the vertices of the quadrilateral ABCD, we need to use a graphing calculator to find the sides and then the area can be calculated as;

We can use the Shoelace Formula to find the area of the quadrilateral. The Shoelace Formula is based on the idea of using the coordinates of the vertices of the polygon to calculate its area.

The formula is:

Area = 1/2 * |(x1y2 + x2y3 + ... + xny1) - (y1x2 + y2x3 + ... + ynx1)|

where (x1,y1), (x2,y2), ..., (xn,yn) are the coordinates of the vertices of the polygon in order, either clockwise or counterclockwise.

Using this formula, we get:

Area = 1/2 * |(13 + 2(-3) + 01 + (-3)4) - (42 + 30 + (-3)(-3) + 11)|

Area = 1/2 * |(-3 - 6 - 12 - 12) - (8 + 0 + 9 + 1)|

Area = 1/2 * |-33 - 18|

Area = 1/2 * 51

Area = 25.5

Therefore, the area of quadrilateral ABCD is 25.5 square units.

Learn more on area of quadrilateral here;

https://brainly.com/question/27991573

#SPJ1

Help please with this maths I need to check it it’s right

Answers

Answer:

9999

Step-by-step explanation:

99x10=990

99x1=99

9999

Answer:9999

I hope it is helpful:)

Step-by-step explanation:

we can see 99 is 100-1 and 101 is 100+1

we can rewrite this as,

99*101=(100-1)(100+1)

let's use short mltiplication formula,

[tex]a^{2}-b^{2}=(a-b)(a+b)\\(100-1)(100+1)=100^{2}-1^{2}=10000-1=9999[/tex]

The center of an ice rink is located at (0, 0) on a coordinate system measured in meters. Susan is skating along a path that can be modeled by the equation y = 6x – x2 – 5. Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9). If the rink is a circle with a radius of 35 meters, which statement best interprets the solution(s) of a system of equations modeling the paths of the skaters?
The skaters’ paths intersect once, but that point is outside the rink.
The skaters’ paths intersect once, and that point is inside the rink.
The skaters’ paths intersect twice, but only one of those points is inside the rink.
The skaters’ paths intersect twice, and both points are inside the rink.

Answers

Answer:

Option C: The skaters path intersect twice, but only one of those points is inside the rink.

Step-by-step explanation:

Coordinates of center of ice rink: (0,0) Radius of ice rink circle = 35 m

We know that the equation of a circle with center coordinates (a,b) and radius of (r) is given as; (x - a)² + (y - b)² = r²

Thus, the total area on which the skaters are skating will be given by the equation;

x² + y² = 35²

Now, we are told the path along which Susan is skating is modeled by the equation: y = 6x - x² - 5

While Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9)

From equation of a parabola, the path along which like is skating can be modeled by;

(x - 8)² = 4a(y + 9)

To find a, we will substitute the coordinate started at to get;

(10 - 8)² = 4a(-21 + 9)

4 = 4a × -12

Divide both sides by 4 to get;

a = -1/12

Thus;

(x - 8)² = 4(-1/12)(y + 9)

(x - 8)² = (-1/3)(y + 9)

This gives: 3(x - 8)² = -(y + 9)

I've drawn the graph on demos and attached it.

From the graph we can see that the skaters points intersect twice but one is inside the rink circle while the other is outside the rink circle. The point at which they intersect outside the rink was slightly cropped out because of size. But it is clearly seen that they are both approaching point of intersection.

Thus, correct answer is Option C.

Other Questions
Can nonsmokers hold their breath longer then people who smoke dependent variable which of the following account types is a cloud-based identity and access management service that provides access to both internal and external resources?answeradministratorazure admicrosoftdomain What is one of the arguments on disadvantages to music technology?A. Music technology has helped musicians explore further possibilities.B. Pop groups often use drum beats from drum samplers and do not have to be able to perform their own music.C. New technology allows us to create a range of interesting sound effects and samples.D. No one believes there to be a disadvantage to music technology. Write the expanded form of the expression. 2 5(yx) Which adjective best characterizes Friar Laurence at this time?CautiousDesperate CelebratoryGloomySAKONTANG SETUERTED Why is it difficult to walk on wet marble floor? a stable has 27 horses each one of eats 9 pounds how many pounds will the horses eat in 8 weeks 1. Demonstrate the form, Theme & VariationsLinks to an external site. 2. Demonstrate the form, Minuet & Trio 3. Demonstrate the form, Rondo 4. Tell us what you think and why. Do you have personal experience with the Mozart Effect? What would happen if this whole class listened to Mozart before taking a test or quiz? Petersburgnly with greata few yardses were theent stationswhile theirother. Bothtly anxiouspersons,e another inery eyes.o anmed, andwas itsd look, andt, sarcasticot himentirelyduring thex Which sentence from the passage best demonstrates that the black-haired stranger has an odd sense ofhumor?A4x B4x DReplying to them, he made known to the inquirer that he certainly had been long absent fromRussia, more than four years; that he had been sent abroad for his health; that he had sufferedfrom some strange nervous malady-a kind of epilepsy, with convulsive spasms.His nose was broad and flat, and he had high cheek bones; his thin lips were constantlycompressed into an impudent, ironical-it might almost be called a malicious-smile, but hisforehead was high and well formed, and atoned for a good deal of the ugliness of the lower part ofhis face.Some of the passengers by this particular train were returning from abroad, but the third-classcarriages were the best filled, chiefly with insignificant persons of various occupations anddegrees, picked up at the different stations nearer town.His interlocutor burst out laughing several times at his answers, and more than ever, when to thequestion, whether he been cured?" the patient replied:"No, they did not cure me."2AA How does safety affect the long-term health benefits of exercise? movie content darby o'gill and the little people Which expression(s) have the same value as 100?Expression A: 202-3(102)Expression B: 8(42) + 24Expression C: 152-53 15 ) Ian throws a ball up in the air and lets it fall to the ground.The height of the ball, h(t), is modeled by the equationh(t) = -16t + 6t+ 3, with h(t) measured in feet, and time, t,measured in seconds. The number 3 in h(t) represents(1) the maximum height of the ball(2) the height from which the ball is thrown(3) the number of seconds it takes for the ball to reach the ground(4) the number of seconds it takes for the ball to reach its maximumheight 1)Many common things you use regularly are colloids except.....* milk*hair*spray*paint*alloy2)Which mixture exhibits the Tyndall effect?*fog*salt water*gasoline*sterling silver3)In an apparatus for testing the conductivity of solutions: The light bulb* glows in the solution is a poor conductor.*dim if the solution is a poor conductor.*doesn't glow at all.*glows as it's nonelectrolyte. Now consider a marriage market with four men and four women. There are no transfers, so each man i associates marrying woman j with some given utility uij . And, vice versa, each woman j associates marrying man i with some given utility vij . The utilities are collected in the bi-matrix below, where the four men are on rows and the four women are on columns. Hence, for instance, if man 1 were to marry woman 2, his utility would be u12 = 4 and her utility would be v12 = 2.123411,74,22,43,525,26,52,11,438,84,13,75,641,42,45,38,8(b) Assuming that men propose, apply the Gale-Shapley algorithm to find a marriage market equilibrium a stable matching. [45 marks] Which act led to the formation of a police agency in which the officers were named after Sir Robert Peel?The ___ Act established a full-time, paid, and uniformed agency for public safety. The police officers were known as bobbies or ____ after Sir Robert Peel. what possible problems do you see the Rome empire having to deal with because they are too big? Some students attending a small university with a well-known choir live off campus. From the fact that all music majors are members of the choir, a professor in the music department concluded that none of the students who live off campus is a music major.The professors conclusion is properly drawn if which one of the following is assumed?(A) None of the students who live off campus is a member of the choir.(B) None of the students who are music majors has failed to join the choir.(C) Some of the students who do not live off campus are not music majors.(D) All students who live on campus are music majors.(E) All students who are members of the choir are music majors. PLEASEEEEEEEEEEEEEEEEEEEE HELP WILL GIVE A BRAINLIST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Wet Lab: Investigating FieldsPoints Possible: 50In this lab, you will explore magnetic and electric forces. You will gather data to show how these noncontact forces affect objects in fields. You will investigate the magnetic field between two bar magnets. You will also investigate the electric field between two electrically charged pieces of tape. The tape will become charged when you peel it off another object.Part 1: Exploring Magnetic Fields (16 points)1. Tape one magnet to a smooth, flat surface. Place the other magnet on that surface 10 cm away, oriented so that its north pole is facing the south pole of the other magnet. Slowly push the free magnet toward the magnet that is taped down. What do you observe? (1 point)2. Gently push the free magnet toward the taped magnet again. How far apart are they when the free magnet first starts to be pulled? Use the ruler to measure the distance between the magnets. (1 point)3. Repeat Steps 1 and 2, but this time, position the magnets so that their north poles are facing each other. At what distance do the magnets begin to repel each other? (2 points)4. Place the free magnet in each of the positions shown in the table below. For each position, describe what happens after you let go of the magnet. Draw a diagram that shows the final positions of both magnets. Make sure to label the north pole (N) and south pole (S) of each magnet. (12 points)Magnetic Fields Data TableOriginal magnet positions Final magnet positions ObservationsMagnet diagram Magnet diagram Magnet diagram Magnetic diagram Magnetic diagram Magnet diagram Part 2: Exploring Electric Fields (16 points)5. Cut four pieces of tape that are 15 cm long. Fold over one end of each piece of tape to make a tab that is about 2 cm long.6. Stick one piece of tape to the top of a smooth, flat table. Using a marker, label the tab "B1." Rub the tape with the side of the marker to smooth out any air bubbles. Stick a second piece of tape on top of the first and smooth out the air bubbles again. Label the tab of this piece "T1."7. Repeat Steps 5 and 6 with the remaining two pieces of tape, but label the bottom tab "B2" and the top tab "T2."8. Use the tab to peel T1 off of B1. Stick it vertically to the edge of the table so that the tab is at the top and the tape hangs down below the table. Then peel B1 off the table. Hang it from the table edge in the same way. The two pieces of tape must be at least 10 cm away from each other and from the legs of the table.9. Peel off T2. Hold it by the tab with the sticky side facing you.10. With your other hand, hold a ruler perpendicular to the table edge, with the zero mark against the table next to the tape labeled T1. Hold the tab of T2 at the other end of the ruler. The diagram shows how to arrange the tape and the ruler. Slowly move T2 along the ruler toward T1. Watch for a change at the bottom end of each piece of tape. Measure the distance between the top ends of the pieces of tape when you first notice the change. What happened? Continue moving T2 closer to T1. What happened? Record the distance and your observations in the Electric Fields Data Table provided below Step 12. (4 points)Diagram of electrical fields experiment, with table, ruler, and tape. Text: Table, Ruler, T1, B1, T2.11. Repeat Step 10, this time moving T2 toward the hanging piece of tape labeled B1. (4 points)12. If any of the pieces of tape are stuck together, carefully pull them apart. Discard the piece of tape labeled T2. Then repeat Steps 9 11 using the piece labeled B2 that is still stuck to the tabletop. (8 points)Electric Fields Data TablePieces of tape Distance of first change (cm) ObservationsT1 and T2 B1 and T2 T1 and B2 B1 and B2 Analysis and Conclusions (18 points)1. What can you conclude about magnetic force based on your results in Steps 1 3? Use your data to support your conclusions. (4 points)2. A magnetic field is the area around a magnet where its force can be felt. Magnetic fields are invisible. How did Part 1 of the Procedure and Data section provide evidence that magnetic fields exist? (4 points)3. How could you change the design of the experiment to determine the size of the magnetic field around the magnet that was taped down? (2 points)4. In Part 2 of the Procedure and Data section, how did the pieces of tape affect each other? Why did they attract, repel, or have no effect on each other? (4 points)5. Like magnetic fields, electric fields are invisible. How did the experiment allow you to gather evidence that electric fields exist? (4 points) HELPPPPP MEEEE PLEASEEENEED HELP WITH PROJECTTTTTT