PLEASE HELP!!
Given ABC shown in the graph below, XYZ is found according to the following combined transformation function.
Look at both photos below to help answer the question.

PLEASE HELP!!Given ABC Shown In The Graph Below, XYZ Is Found According To The Following Combined Transformation
PLEASE HELP!!Given ABC Shown In The Graph Below, XYZ Is Found According To The Following Combined Transformation

Answers

Answer 1

The coordinates of triangle XYZ are X(-2,-2), Y(2,4), and Z(-4,8).

Describe Transformation?

In mathematics, a transformation refers to a change or modification of an object's position, shape, size, or orientation in a coordinate plane or space. Transformations can be described as functions that map the points or vertices of an object to new positions in the plane or space.

Common transformations include:

Translation: a transformation that moves an object without changing its size, shape, or orientation. Translation involves shifting all points of the object by the same distance in the same direction.

Rotation: a transformation that turns an object about a fixed point or axis by a certain angle. Rotation preserves the size and shape of the object, but changes its orientation.

Scaling: a transformation that changes the size of an object by multiplying the coordinates of each point by a fixed factor. Scaling can either enlarge or reduce an object.

Since the transformation function is not provided, I'll assume that D2(ABC) means dilating the triangle ABC with center at the origin and a scale factor of 2.

To find the coordinates of the new triangle XYZ, we can apply the dilation transformation to each vertex of the original triangle:

For vertex A(-1,-1), we multiply its coordinates by the scale factor 2, giving us point X(-2,-2).

For vertex B(1,2), we multiply its coordinates by the scale factor 2, giving us point Y(2,4).

For vertex C(-2,4), we multiply its coordinates by the scale factor 2, giving us point Z(-4,8).

Therefore, the coordinates of triangle XYZ are X(-2,-2), Y(2,4), and Z(-4,8), as shown below:

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PLEASE HELP!!Given ABC Shown In The Graph Below, XYZ Is Found According To The Following Combined Transformation

Related Questions

COMM 291C Applications of Statistics in Business
Winter 2023
Assignment 07
1. A fish tank is filled with the fish of three different species, and each fish comes in three sizes. The
counts of all the fish are summarized in the following contingency table:
Small Medium Large Total
Goldfish 48 45 19 112
Guppy 70 42 19 131
Gourami 40 9 10 59
Total 158 96 48 302
a. If I randomly catch any one fish from this tank, what is the probability that the caught
fish is medium-sized? Show your calculations. (1)
b. If I randomly catch one fish from this tank, what is the probability that the caught fish is a
medium-sized guppy? Show your calculations. (1)
c. If I randomly catch one medium-sized fish from this tank, what is the probability that the
caught fish is a guppy? Show your calculations. (1)
d. If I randomly catch one guppy from this tank, what is the probability that the caught fish
is medium-sized? Show your calculations. (1)
e. If I randomly catch one fish from this tank, what is the probability that the caught fish is a
not a goldfish? Show your calculations. (1)
f. Are two events, randomly catching a guppy and randomly catching a medium-sized fish,
independent? Explain how you know. (2)

Answers

a)  If I randomly catch any one fish from this tank, the probability of catching a medium-sized fish from the tank is 0.3182.
b) the probability of catching a medium-sized guppy from the tank is 0.1391.

c) the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d) the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.

e)  the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.
f) 0.1384 is not equal to 0.1391, which indicates that the two events are not independent

What is probability?

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.


The explanation to the above probability answer are given below:

a)

From the contingency table, we can see that the total number of medium-sized fish is 96. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized fish is:

Probability of catching a medium-sized fish = Total number of medium-sized fish / Total number of fish

Probability of catching a medium-sized fish = 96 / 302

Probability of catching a medium-sized fish = 0.3182

Therefore, the probability of catching a medium-sized fish from the tank is 0.3182

b)
From the contingency table, we can see that the total number of medium-sized guppies is 42. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized guppy is:

Probability of catching a medium-sized guppy = Total number of medium-sized guppies / Total number of fish

Probability of catching a medium-sized guppy = 42 / 302

Probability of catching a medium-sized guppy = 0.1391

Therefore, the probability of catching a medium-sized guppy from the tank is 0.1391.


c)

From the contingency table, we can see that the number of medium-sized guppies is 42, and the number of medium-sized fish is 96. Therefore, the probability of catching a guppy if we randomly select a medium-sized fish is:

Probability of catching a guppy given a medium-sized fish = Number of medium-sized guppies / Total number of medium-sized fish

Probability of catching a guppy given a medium-sized fish = 42 / 96

Probability of catching a guppy given a medium-sized fish = 0.4375

Therefore, the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d)
To calculate the probability of catching a medium-sized guppy if we randomly select a guppy from the tank, we need to find the number of medium-sized guppies in the tank and divide it by the total number of guppies in the tank.

From the contingency table, we can see that the number of medium-sized guppies is 42, and the total number of guppies is 131. Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is:

Probability of catching a medium-sized guppy given a guppy = Number of medium-sized guppies / Total number of guppies

Probability of catching a medium-sized guppy given a guppy = 42 / 131

Probability of catching a medium-sized guppy given a guppy = 0.3206

Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.


e)

From the contingency table, we can see that the total number of non-goldfish is 190 (45 medium goldfish + 70 small guppy + 42 medium guppy + 9 medium gourami + 10 large gourami + 14 small gourami). The total number of fish in the tank is 302. Therefore, the probability of catching a fish that is not a goldfish is:

Probability of catching a fish that is not a goldfish = Total number of non-goldfish / Total number of fish

Probability of catching a fish that is not a goldfish = 190 / 302

Probability of catching a fish that is not a goldfish = 0.6291

Therefore, the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.

f)

From the contingency table, we can see that the probability of randomly catching a guppy is 131/302, which is approximately 0.4344. Similarly, the probability of randomly catching a medium-sized fish is 96/302, which is approximately 0.3182.

Now, let's consider the joint probability of randomly catching a medium-sized guppy, which we calculated earlier to be 42/302, or approximately 0.1391. To determine if the events are independent, we need to compare the product of the probabilities of the individual events (catching a guppy and catching a medium-sized fish) to the joint probability of the events occurring together.

If the events are independent, then the product of their individual probabilities should be equal to the joint probability:

P(catching a guppy) x P(catching a medium-sized fish)
= P(catching a medium-sized guppy)

0.4344 x 0.3182 = 0.1391

0.1384 is not equal to 0.1391, which indicates that the two events are not independent.

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the length of a rectangle is 9 centimeters less than its width. what are the rectangles dimension if its area is 90.

Length of rectangle in cm:

Width of rectangle in cm:

Answers

Let the width of the rectangle be "X". Then the length of the rectangle will be (X-9).

Formula to find the area of a rectangle is given by-

[tex] \small \underline{ \boxed{ \sf{ \pmb{Area_{(rectangle)} = Length\times Width }}}}\\[/tex]

On substituting the values-

[tex] \:\:\:\:\:\:\longrightarrow \sf {Area_{(rectangle)} = X \times \bigg(X-9\bigg)}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {90 = X^2 -9X}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X^2-9X =90}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X^2-9X -90=0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X^2-15X+6X -90=0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X\bigg(X-15\bigg) +6\times \bigg(X-15\bigg)=0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {\bigg(X-15\bigg) \times \bigg(X+6\bigg) =0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{X = 15\: Or,\: -6}}}}\\[/tex]

Since,width cannot be (Negative) , so the width will be 15cm.And the length will be (X-9)= (15-9)=6cm.

In one town 44% of voters are democrats if two voters are randomly selected for a survey find the probability that they are both Democrats assume events are independent round to the nearest thousand if necessary

Answers

the probability that they are both Democrats. round to the nearest thousandth if necessary is 0.194

The probability that BOTH is democrats means the probability of "one being democrat" AND "another also being democrat".

The AND means we need to MULTIPLY the individual probability of a person being a democrat.

The probability that a voter is democrat is 44% (0.44) -- stated in the problem

Now, the Probability of BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

Rounded to the nearest thousandth, 0.194

The last answer choice is correct.

the complete question is-

In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are both Democrats. round to the nearest thousandth if necessary.

0.189

0.880

0.440

0.194

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Find the product……..

Answers

The product of the expressions are;

Step 1: (x + 2)(x + 3) and 3(x + 3)/4(x + 5)

Step 3: 4(x + 3) × 3(x + 3)/4(x + 5)

Step 4: 3/x + 5

How to determine the product

It is important to note that algebraic expressions are described as expressions that are composed of variables, terms, coefficients, constants and factors.

From the information given, we have the fraction;

4x + 8/x² + 5x + 6 × 3x + 9/4x + 20

To determine the product, let us reduce the expressions to their lowest forms, we have;

4x + 8 = 4(x + 2)

x² + 5x + 6 = (x + 2)(x + 3)

3x + 9 = 3(x +3)

4x + 20 = 4(x + 5)

Substitute the expressions

4(x + 2)/(x + 2)(x + 3)  × 3(x +3)/4(x + 5)

divide the common terms

4(x + 3) × 3(x + 3)/4(x + 5)

Divide further, we have.

3/x + 5

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Note: For questions 13–21, remember to show all of the steps that you use to solve the problem. You can use the comments field to explain our work. Your teacher will review each step of your responses to ensure your receive proper credit for your answers.
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.
Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?

SOMEONE, PLEASE HELP! I WILL MAKE BRAINLIST!!!

Answers

Answer:

This isn't a reasonable scale

Step-by-step explanation:

Using the scale 1 in. = 4 in., the width of the scaled down painting will be:

48 in. ÷ 4 = 12 in.

And the height of the scaled down painting will be:

120 in. ÷ 4 = 30 in.

So the scaled down painting will be 12 in. wide and 30 in. tall. Since Sarah's paper is 12 in. wide and 24 in. tall, the scaled down painting will fit within the paper's width but will be taller than the paper.

Therefore, the scale is not reasonable because the scaled down painting will not fit within the dimensions of Sarah's paper.

rx+sy=24
4x+16y=120
In the system of equations above, r and s are

constants. If the system has an infinite number of

solutions, what is the value of rs
?

Answers

The values of r and s, considering that the system has an infinite number of solutions, are given as follows:

r = 4/5.s = 16/5.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the rate of change.b is the y-intercept of the function, which is the initial value.

The number of solutions of a system of two linear functions is given as follows:

Infinity solutions: same slope and intercept.Zero solutions: same slope, difference intercepts.One solution: different slopes.

For this problem, the system has an infinite number of solutions, meaning that the equations are multiples, thus the values of r and s are given as follows:

120/24 = 5.r = 4/5.s = 16/5.

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is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

x is first angle

y is second angle

and z is third angle

Step-by-step explanation:

This question is solved by a system of equations. We have that:x is the first angle.y is the second angle.z is the third angle.Doing this, we get that:The first angle measures 30º.The second angle measures 67º.The third angle measures 83º.The sum of the measures of the angles of a triangle is 180. This means that The sum of the measures of the second and third angles is five times the measure of the first angle.This means that:From this, the first angle can be found:The measure of the first angle is of 30º.The third angle is 16 more than the second.This means that:Since We get that the second angle is:The second angle measures 67º.For the third angle:The third angle measures 83º.

Are quadrilaterals LMNO and PQRS similar?

Yes, quadrilaterals LMNO and PQRS are similar because a translation and a dilation map quadrilateral LMNO onto PQRS.

Yes, quadrilaterals LMNO and PQRS are similar because a rotation and a dilation map quadrilateral LMNO onto PQRS.

Yes, quadrilaterals LMNO and PQRS are similar because a reflection and a dilation map quadrilateral LMNO onto PQRS.

No, quadrilaterals LMNO and PQRS are not similar because their corresponding segments are not proportional.

Answers

The correct answer is (d) No, quadrilaterals LMNO and PQRS are not similar because their corresponding sides are not proportional.

What are quadrilaterals?

A quadrilateral is a geometric shape with four sides and four corners.

To be classified as a quadrilateral, its shape must be a closed figure with four straight sides and four interior angles. 

To determine quadrilaterals are similar, we need to check if corresponding angles are congruent and corresponding sides are proportional.

Checking corresponding angles are congruent:

∠ L  to ∠P.

∠M  to ∠Q.

∠ N  to ∠ R.

∠O  to ∠S.

All corresponding angles are congruent. Therefore, quadrilaterals have the same shape.

Check if corresponding sides are proportional.

LM =√((-1 - (-2))² + (4 - 2)²) = √(2² + 2²) = 2√2

MN = √((3 - (-1))² + (4 - 4)²) = √(4²) = 4

NO = √((4 - 3)² + (2 - 4)²) = √(2² + 2²) = 2√(2)

OL = √((-2 - 4)² + (2 - (-6))²) = √(6² + 8²) = 10

PQ = √((4 - 2)² + (-2 - (-6))²) = √(2² + 4²) = 2√5

QR = √((12 - 4)² + (-2 - (-2))²) = √(8²) = 8

RS = √((15 - 12)² + (-6 - (-2))²) = √(3² + 4²) = 5

SP = √((2 - 15)² + (-6 - (-6))²) = √(13²) = 13

LM / PQ = (2√2) / (2√5) = √(8/5)

MN / QR = 4 / 8 = 1/2

NO / RS = (2√(2)) / 5√(1) = (2/5)√(2)

OL / SP = 10 / 13

The corresponding sides are not proportional because they are not all equal or proportional to each other. Therefore, we can conclude that the quadrilaterals LMNO and PQRS are not similar.

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In PQR, PQ= 5.4, QR= 3.6, and PR=6.2. To the nearest Tenth, what is M∠R

Answers

Therefore , the solution of the given problem of angles comes out to be  M∠R measured at 45.4 degrees, to the closest tenth.

An angle meaning is what?

The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:

=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)

=>  cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)

=>  cos(R) = 0.6960917

When we calculate the inverse cosine of both sides, we obtain:

=>  R = cos⁻¹(0.6960917)

=>  R equals 45.4 degrees

Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.

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Lyla invests $2,500 into a savings account
which earns 5% per year. In 15 years, how
much will Lyla's investment be worth if interest
is compounded semiannually (twice a year)?
Round to the nearest dollar.

Answers

Answer:

The formula for compound interest is given by:

A = P(1 + r/n)^(nt)

Where:

A = the amount of money accumulated after n years

P = the principal (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $2,500, r = 0.05 (since 5% = 0.05), n = 2 (since interest is compounded semiannually), and t = 15. Substituting these values into the formula, we get:

A = 2500(1 + 0.05/2)^(2*15)

A ≈ $5,551.33

Therefore, Lyla's investment will be worth approximately $5,551.33 after 15 years if interest is compounded semiannually.

Suppose 50 rabbits are on Groff Farm… DOUBLING every SIX MONTHS…

How many rabbits after 5 years?
How many rabbits after 10 years?

Answers

Using geometric progression Rabbits after 5 years will be 5120. Rabbits after 10 years will be 52,428,800.

What is geometric progression?

When each term is varied by another by a common ratio, the series is referred to as a geometric progression or sequence. When we multiply the previous term by a constant (which is non-zero), we get the following term in the series. It should be mentioned that the common ratio is obtained by dividing any succeeding term by its preceding term.

What is ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate organizations or groups.

In this question,

The number of rabbits initially=50=a

rabbits after 6 months=100

common ratio=r= 100/50=2

Since it is a geometric progression, the 11th term will give us the number of rabbits after 5 years.

a₁₁=a₁(r)¹¹⁻¹

   =50(2)¹⁰=5120

the 21th term will give us the number of rabbits after 10 years.

a₂₁=a₁(r)²¹⁻¹

    =50(2)²⁰=52,428,800

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13. The profit, in thousands of dollars, from the sale of x kilogram of coffee bean can be modelled by the function () = 5−400 +600 . a) State the asymptotes and the intercepts. Then, sketch a graph of this function using its key features. (5 pts) b) State the domain and range in this context. (2 points) c) Explain the significance of the horizontal asymptote. (1 point) d) Algebraically, find how much amount of tuna fish, in kg, should be sold to have a profit of exactly $4000? (4 points) SOLUTION

Answers

Answer: a) The profit function can be written as:

P(x) = 5x - 400x + 600

To find the asymptotes, we can look at the denominator of the second term, which is (x - 3). This means that there is a vertical asymptote at x = 3. To find the intercepts, we can set P(x) = 0:

5x - 400x + 600 = 0

Solving for x, we get:

x = 1.5 and x = 2.5

Therefore, there are x-intercepts at (1.5, 0) and (2.5, 0). To sketch the graph, we can also note that the coefficient of x^2 is negative, which means that the graph is a downward-facing parabola.

b) The domain of the function is the set of all possible values of x, which in this context represents the amount of coffee sold. Since we cannot sell a negative amount of coffee, the domain is x ≥ 0.

The range of the function is the set of all possible values of P(x), which represents the profit. Since the coefficient of x^2 is negative, the maximum profit occurs at the vertex of the parabola. The vertex has x-coordinate:

x = -b/(2a) = -(-400)/(2(-200)) = 1

Therefore, the maximum profit occurs when x = 1. The vertex has y-coordinate:

P(1) = 5(1) - 400(1) + 600 = 205

Since the coefficient of x^2 is negative, the range is (-∞, 205].

c) The horizontal asymptote of the function is y = -400, which represents the long-term average profit per kilogram of coffee sold. This means that as x gets very large, the profit per kilogram approaches -400. This could happen, for example, if the cost of producing the coffee increased significantly while the price remained the same.

d) To find the amount of coffee that must be sold to make a profit of $4000, we can set P(x) = 4000 and solve for x:

5x - 400x + 600 = 4000

Simplifying, we get:

-395x = -3400

Dividing both sides by -395, we get:

x ≈ 8.61

Therefore, approximately 8.61 kg of coffee must be sold to make a profit of $4000.

Step-by-step explanation:

PLEASE HELP! Find missing side lengths of B and C. Explain

Answers

Answer:

b=7 & c=7√2

Step-by-step explanation:

b=7 as it is an isosceles triangle

now using Pythagoras theorem,

(c)^2= (7)^2+(7)^2

⇒(c)^2= 49+49

⇒(c)^2= 98

⇒c= √98

⇒c=7√2

Answer:

b = 7c = 7√2

Step-by-step explanation:

You want the missing side lengths in an isosceles right triangle with one side given as 7.

Isosceles right triangle

The two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:

  b = 7

The hypotenuse of an isosceles right triangle is √2 times the side length:

  c = 7√2

__

Additional comment

You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.

  c² = 7² + b²

  c² = 7² +7² = 2·7²

  c = √(2·7²) = 7√2

The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.

The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.

Simplify the expression below.
5^2 + 9^2

Answers

To simplify the expression 5^2 + 9^2, we can evaluate the squares of 5 and 9 and then add the results:

5^2 = 5 x 5 = 25

9^2 = 9 x 9 = 81

So, 5^2 + 9^2 = 25 + 81 = 106

Therefore, the simplified form of the expression 5^2 + 9^2 is 106.

A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for

Answers

According to the solving the area of the sidewalk is 138.16 square meters.

What is an area?

Size of a location on a surface is expressed in terms of area. As opposed to surface area, which refers to the area of an open surface or the border of a three-dimensional object, plane region or plane size refers to the area of a shape or planar lamina.

According to the given information:

The width of the circular sidewalk is 2 m, which means that the radius of the entire area, including the flower bed and the sidewalk, is 10 m + 2 m = 12 m.

To find the area of the sidewalk, we need to subtract the area of the flower bed from the area of the larger circle.

Area of larger circle = πr²

= 3.14 x 12²

= 452.16 square meters (rounded to two decimal places)

Area of flower bed = πr²

= 3.14 x 10²

= 314 square meters

Area of the sidewalk = Area of larger circle - Area of flower bed

= 452.16 - 314

= 138.16 square meters (rounded to two decimal places)

Therefore, the area of the sidewalk is 138.16 square meters.

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can someone please prove this

Answers

The proof that ΔABC ≅ ΔDCB (congruent) in a parallelogram is because they are alternate interior angles.

How to prove alternate interior angles?

If AABC is a parallelogram, then AB and AC are parallel. Therefore, angle BAC is equal to angle BDC since they are alternate interior angles.

Similarly, angle ABC is equal to angle ADC since they are also alternate interior angles.

Now, using the angle-angle-side (AAS) postulate to show that ΔABC and ΔDCB are congruent.

Since angle BAC = angle BDC and angle ABC = angle ADC, angle A = angle D, angle B = angle C, and side AB = side DC.

Therefore, ΔABC ≅ ΔDCB.

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Image transcribed:

8. Prove ΔABC≅ΔDCB (parallelogram)

A line has a slope of 5/6
and passes through the point (7,6). Write its equation in slope-intercept form.

Answers

Answer:

y = 5/6x + 1/6

Step-by-step explanation:

m = 5/6, x = 7, y = 6

y = mx + b

6 = 5/6(7) + b

b = 6 - 35/6

b = 36/6 - 35/6 = 1/6

y = 5/6x + 1/6

Answer:

Below

Step-by-step explanation:

Here is another way:

 Start with point ( 7,6)   slope ( m= 5/6)  form :

    (y-6) = 5/6 ( x-7)     expand

    y-6 = 5/6 x -  35/6     add 6 to both sides

       y = 5/6 x + 1/6     Done.

Your tank has a volume of 10 L at the surface (1 atm pressure). You reach a depth of 66 ft. What is the
pressure? What is the volume?

Answers

the pressure at a depth of 66 ft is 197,580 Pa, and the volume of the tank at this depth is 0.000505 L.

Equations

To find the pressure at a depth of 66 ft in a liquid, we can use the formula:

pressure = density x gravity x depth

Assuming the liquid in the tank is water, the density is 1000 kg/m³, and gravity is 9.81 m/s².

First, we need to convert 66 ft to meters:

66 ft x 0.3048 m/ft = 20.1168 m

Then, we can find the pressure at this depth:

pressure = 1000 kg/m³ x 9.81 m/s² x 20.1168 m = 197,580 Pa

To find the volume of the tank at this depth, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature:

P₁V₁ = P₂V₂

where P₁ and V₁ are the initial pressure and volume (1 atm and 10 L, respectively), and P₂ and V₂ are the final pressure and volume.

We can rearrange this equation to solve for V₂:

V₂ = (P₁ x V₁) / P₂

Substituting the values, we get:

V₂ = (1 atm x 10 L) / (197,580 Pa / 1 atm) = 0.000505 L

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what is the average allowance for each student?
$7,$12,$8.50,$10,$7,$8,$10.50,$11

Answers

The average allowance for each student is $9.25.

What is the average allowance for each student?

To find the average allowance for each student, we need to add up all the allowances and divide by the total number of students.

Adding up the allowances:

$7 + $12 + $8.50 + $10 + $7 + $8 + $10.50 + $11 = $74

There are 8 students, so we divide the total allowance by 8 to get:

$74 / 8 = $9.25

Therefore, the average allowance for each student is $9.25.

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On a field trip, the ratio of adults to students is 1:8. Which of the following statements about the field trip must be true? (A) A total of 9 people went on the field trip. B. The total number of people on the trip is a multiple of 8. C. There were 7 more students than adults on the field trip. D. There were 8 times as many students as adults on the field trip.

Answers

Answer:

B

Step-by-step explanation:

The correct answer is B. The total number of people on the field trip must be a multiple of 9 (1 adult and 8 students).

A is not true because if there were only 9 people, there could not be both an adult and 8 students, and the ratio would not be 1:8.

C is not necessarily true. It is possible that there were more adults than students on the field trip, or that the ratio was not an exact 1:8.

D is not true because if there were 8 times as many students as adults, the ratio would be 1:64, not 1:8

If ƒ is an entire function such that lim_|z|-->00 |ƒ (z)| = ∞ then?.

Answers

ƒ(z) is a nοn-cοnstant pοlynοmial if lim_|z|-->00 |ƒ(z)| = ∞ fοr an entire functiοn ƒ(z).

Hοw tο calculate entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞?

If ƒ is an entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞, then we can cοnclude that ƒ(z) is a nοn-cοnstant pοlynοmial.

Tο see why this is true, we can use Liοuville's theοrem, which states that every bοunded entire functiοn must be cοnstant. Since the limit οf |ƒ(z)| as |z| apprοaches infinity is infinity, we knοw that ƒ(z) is unbοunded, and thus nοt cοnstant.

Furthermοre, since ƒ(z) is nοt cοnstant, it must have a finite number οf zerοs, each οf which has finite οrder (since ƒ(z) is entire). This implies that ƒ(z) can be written as a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

In summary, if lim_|z|-->00 |ƒ (z)| = ∞, then ƒ(z) is a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

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Can some one help with this problem

Answers

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Lola hosts a podcast about computers, and Franco hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Lola released 17 episodes and Franco released 43 episodes, for a total of 5,645 minutes of content. This year, Lola released 36 episodes and Franco released 43 episodes, which lasted a total of 6,956 minutes. How long is each episode?

Answers

Answer:

Let's denote the duration of each episode of Lola's podcast by "L" and the duration of each episode of Franco's podcast by "F".

From the information given, we can write two equations based on the total duration of content for the two years:

17L + 43F = 5,645 (equation 1)

36L + 43F = 6,956 (equation 2)

To solve for L and F, we can eliminate F by subtracting equation 1 from equation 2:

(36L + 43F) - (17L + 43F) = 6,956 - 5,645

Simplifying, we get:

19L = 1,311

Therefore, the duration of each episode of Lola's podcast (L) is:

L = 1,311 / 19

L ≈ 69.0 minutes

To find the duration of each episode of Franco's podcast (F), we can substitute the value of L into either equation 1 or 2:

17L + 43F = 5,645

17(69.0) + 43F = 5,645

1,173 + 43F = 5,645

43F = 4,472

F = 4,472 / 43

F ≈ 104.0 minutes

Therefore, each episode of Lola's podcast is approximately 69.0 minutes long, and each episode of Franco's podcast is approximately 104.0 minutes long.

Jen is studying how years of drought conditions have caused the water level of Richland Reservoir to drop. At the start of the study, the water in the reservoir was 65 meters deep. Jen observed that the depth of the water dropped by about 0.8 meters the first month of the study. She wants to know what the depth of the water will be if it continues dropping at the same rate. You can use a function to approximate the depth of the water in the reservoir x months after the start of the study. Write an equation for the function.

Answers

The equation for the function is D(x) = 65 - 0.8x. Where 65 is the initial depth of the water and 0.8x is the amount by which the depth drops after x months.

What is a linear function?

A linear function is a mathematical function that has a constant rate of change or slope between the independent variable (x) and the dependent variable (y). It is a function that can be graphically represented as a straight line.

We can use a linear function to approximate the depth of the water in the reservoir x months after the start of the study, since the depth is dropping at a constant rate of 0.8 meters per month. Let D(x) be the depth of the water in meters x months after the start of the study. Then we have:

D(x) = 65 - 0.8x

where 65 is the initial depth of the water and 0.8x is the amount by which the depth drops after x months.

Therefore, the equation for the function is D(x) = 65 - 0.8x.

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what is the answer of 10.9% of $8.85

Answers

0.96465 US$ because you jus do the math

Answer:

To find 10.9% of $8.85 we can convert the percentage into a decimal:

10.9% = 0.109

0.109x8.85 = $0.964

=$0.96 (Rounded to 2 decimal places)

please help immediately
please go to my profile and answer the other I need them asap.

Answers

10³•10⁵•10³

Step-by-step explanation:

10³means 10×3,10⁵means 10×5and 10³means 10×3 30+50+30=110

PLS HELP MEEEEEEEEEEEEEEEEEE I CAN'T ANSWER
A. Tell whether distance, speed, or time is asked in each given situation.
_____1. How long will it take Zihann to arrive at school if she walks a constants 2 kilometers per hour?
_____2. How far do you need to travel at an average speed for 5 hours?
_____3. How fast should you travel to arrive at your destination that is 2.5 hours away?
_____4. If Carla travels a distance of 150 kilometers and arrive after 3 hours, how fast did she drive?
_____5. If Alwyn drove at an average speed to travel a certain distance, how long did it take him to travel?

Answers

1: Time
2: Distance
3: Speed
4: Speed
5: Time
1-Time
2-Distance
3-Speed
4-Speed
5-Time

7 x 10 the the power of -5

Answers

Answer:

0.00005

Step-by-step explanation:

you move 5 decimal places left starting from 7 and right it as a decimal.

Ans=0.00007

what is required for a current to flow?

A. Electrons, protons, and an energy source

B. An insulator, battery, and recipient

C. A recipient, a connection, and something made out of rubber

D. An Energy source, a recipient, and a connection

Answers

Therefore , the solution of the given problem of unitary method comes out to be  enable the current to travel, a connection, such as a wire or conductor, is required.

What is a unitary method?

Utilizing previously well-known variables, this uniform convenience, or all crucial elements from a prior flexible study that followed a particular methodology event can all be used to achieve the goal. It will be possible to contact the entity again if the anticipated assertion outcome actually happens; if it doesn't, both important systems will surely miss the statement.

Here,

D. In order for a current to move, there must be an energy source, a recipient, and a connection.

Current is the movement of charged ions through a conductor, most frequently electrons.

The energy required to transport the charged particles is provided by an energy source, such as a battery or generator.

The current has a route through a recipient, which can be a machine or a circuit.

In order to finish the circuit and enable the current to travel, a connection, such as a wire or conductor, is required.

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Answer the question below

Answers

Answer:

Step-by-step explanation:

This question's answer is 'c'. In the first function here we put the value of x=0, then y =3 but in the second function if we put the value of x=0 then y  =2. so c is the correct answer.

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