HELP!! My question isUsing the formula below, solve when s is 3The formula is A = 6s² and I need to know the steps on how to solve it please help! I really dont understand and my teacher is not at school to help me

Answers

Answer 1

The given expression : A = 6s²

Substitute s = 3 in the given expression

A = 6s²

A = 6(3)²

as : 3² = 3 x 3

3² = 9

A = 6 x 9

A = 54

Answer : A = 54


Related Questions

Evaluate the logarithmLog 6 1/36

Answers

Answer:

-2

Explanation:

By properties of logarithms, the logarithm of a fraction is equal to the difference of logarithms, so

[tex]\log _6(\frac{1}{36})=\log _61-\log _636[/tex]

Now, log₆(1) = 0 and log₆36 = 2, so

[tex]\begin{gathered} \log _6(\frac{1}{36})=0-2 \\ \log _6(\frac{1}{36})=-2 \end{gathered}[/tex]

Therefore, the answer is -2

Consider the right triangle shown below where a=8.09, b=9.4, and c=12.4. Note that θ and ϕ are measured in radians.What is the value of cos(θ)?cos(θ)= What is the value of sin(θ)?sin(θ)=What is the value of tan(θ)?tan(θ)=  What is the value of θ?θ=

Answers

By definition

[tex]\cos (angle)=\frac{\text{ adjacent side}}{\text{ hipotenuse}}[/tex]

From the picture

[tex]\begin{gathered} \cos (\theta)=\frac{a}{c} \\ \cos (\theta)=\frac{8.09}{12.4} \\ \cos (\theta)=0.65 \end{gathered}[/tex]

By definition

[tex]\sin (angle)=\frac{\text{ opposite side}}{\text{ hipotenuse}}[/tex]

From the picture:

[tex]\begin{gathered} \sin (\theta)=\frac{b}{c} \\ \sin (\theta)=\frac{9.4}{12.4} \\ \sin (\theta)=0.76 \end{gathered}[/tex]

By definition

[tex]\tan (angle)=\frac{\text{ opposite side}}{\text{ adjacent side}}[/tex]

From the picture

[tex]\begin{gathered} \tan (\theta)=\frac{b}{a} \\ \tan (\theta)=\frac{9.4}{8.09} \\ \tan (\theta)=1.16 \end{gathered}[/tex]

Isolating θ from the previous equations:

[tex]\begin{gathered} \theta=\arccos (0.65)=49.46\text{ \degree}\approx49\text{ \degree} \\ \theta=\arcsin (0.76)=49.46\text{ \degree}\approx49\text{ \degree} \\ \theta=\arctan (1.16)=49.24\text{ \degree}\approx49\text{ \degree} \end{gathered}[/tex]

(The difference between the values is caused by rounding errors)

66. WORKER EFFICIENCY An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled f(x) = -x³ + 6x² + 15x television sets x hours later. How many sets will such a worker have assembled by 10:00 A.M.? [Hint: At 10:00 A.M., x = 2.] b. Ilow many sets will such a worker assemble between 9:00 and 10:00 A.M.?​

Answers

Step-by-step explanation:

use differential calculus

Which of the following tests should be administered to see if an experimental medicine lowers blood pressure among hypertensive patients? A. two-tailed test OB. right-tailed test OC. alternative test OD. left-tailed test

Answers

We have to select the appropiate test to see if an experimental medicine lowers blood pressure among hypertensive patients.

In this case, we want to test if the mean for the blood pressure after the treatment is significantly lower than the blood pressure mean without treatment.

Then, for the blood pressure to be significantly different it has to be to the left of a critical value.

Then, it is a left-tailed test.

Answer:

Picture explains it all

Answers

Answer is 135 degrees

Reason

The question gave you a 90 degree angle.

We know the straight angle would be 180 degrees.

So the second half is another 90 degrees.

Half of that (45) added to 90 = 135 degrees.

Picture attached shows it’s at 45 degrees on the second half or you can assume it’s half of 90.

the figure shows a net for a three-dimensional figure. the net includes three squares.a) what is the three dimension figure. b) what is the surface area of the digure.

Answers

(b).

The area of the figure is equal to the sum of the area of the three squares and 2 triangles.

The area of the square is

[tex]2\operatorname{cm}\times2\operatorname{cm}=4\operatorname{cm}^2[/tex]

The area of the triangle is

[tex]\frac{1}{2}\times1.7\operatorname{cm}\times2\operatorname{cm}=1.7\operatorname{cm}^2[/tex]

Hence, two triangles and three squares have a total area of

[tex](4\operatorname{cm}\times3)+(2\times1.7cm)=15.4\operatorname{cm}^2[/tex]

(-1,2) and (3,32)
For each of the following, find the formula for an exponential function that passes through the two points given.

Answers

The required exponential function f(x) = (4)(2)ˣ which is passes through the two points (-1,2) and (3,32).

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Let the formula for an exponential function would be as

⇒ f(x) = abˣ  

The exponential function passes through the two points (-1,2) and (3,32).

f(-1) = 2

f(3) = 32

2 = ab⁻¹

2b = a

32 = ab³

Substitute the value of a = 2b in the above equation,

32 = 2b×b³

32 = 2b⁴

b⁴ = 16

b⁴ = 2⁴

b = 2

Substitute the value of b = 2 in the equation a = 2b,

So a = 2×2 = 4

⇒ f(x) = (4)(2)ˣ  

Therefore, the required exponential function f(x) = (4)(2)ˣ  

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please helpppppp i dont get it ​

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The subtraction of the mixed fractions and presenting the result in simplest form gives;

[tex] \displaystyle{9 \frac{2}{5} - 4 \frac{4}{5} = 14 \frac{1}{5}} [/tex]

What is are mixed fractions?

A mixed fraction is one that has both a quotient part as a whole number, the remainder, as the numerator of the fraction part, and the divisor as the denominator of the fraction part.

The equation involves the subtraction of mixed fractions, which are expressed as follows;

[tex] \displaystyle{9 \frac{2}{5} - 4 \frac{4}{5} } = [/tex]

To subtract the mixed fractions, the mixed fraction can first be rearranged into improper fractions as follows;

[tex] \displaystyle{ \frac{5 \times 9 + 2}{5} - \frac{5 \times 4 + 4}{5} = \frac{47}{5} + \frac{24}{5} }[/tex]

[tex] \displaystyle{ \frac{47}{5} + \frac{24}{5} = \frac{71}{5} }[/tex]

The result of the addition of the improper fraction which is also an improper fraction can be rearranged into partial fractions again as follows;

71 = 5 × 14 + 1

Which gives;

[tex] \displaystyle{ \frac{71}{5} = 14 \frac{1}{5} }[/tex]

Therefore;

[tex] \displaystyle{9 \frac{2}{5} - 4 \frac{4}{5} = 14 \frac{1}{5}} [/tex]

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Harper just lit a new candle and then let it burn all the way down to nothing. The length of the candle remaining unburned, in inches, can be modeled by the equation L=15-1.5t,L=15−1.5t, where tt represents the number of hours since the candle was lit. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

From the information given, the slope (m) of the equation is -1.5. This means that there is an inverse relationship between the Lenght of the Candle and the number of hours. Where, the longer the number of hours, the smaller the length of the candle. See further explanation below.

What is a slope?

The slope of a line is its steepness as it goes from LEFT to RIGHT. The slope is the proportion of a line's rise, or vertical change, to its run, or horizontal change. The slope of a line is always fixed (it never changes) regardless of whatever two locations on the line are chosen.

When dealing with a linear relationship, the question is usually represented in this format:

y = mx + b; where
m = slope and

b= y-intercept (or constant)

From the case above, the equation shows the relationship between time   (t) the candle spends burning and the length of the candle (l).

Logically, we can infer that there will be a negative relationship between the two but first lets us determine the slope.

Restating the equation in intercept format, we have:

L = 15 - 1.5t................................1; in intercept format the slope we have

L = -1.5t + 15   ...........................2.

Where L [tex]\sim[/tex] y; m [tex]\sim[/tex] -1.5 and t [tex]\sim[/tex] x; and b [tex]\sim[/tex] 15

Hence we can state that the m (slope) = -1.5 and that if plotted on a graph, the line crosses the y-axis at y = 15 where x = 0.

Also, if L (that is y) is set to zero, then the total time taken for ALL the candles to burn is 10 hours.

See attached graph as proof.

The logical interpretation above is hence confirmed that there is an inverse relationship between x and y. This means that the longer the time, the shorter the length of the candle.

This also means that the length of the candle cannot be or is not longer than 15.

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The slope of the equation is -3/2 describing the rate at which the length of the candle is decreasing.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0.

We know slope is the rate of change of the y-axis with respect to the x-axis

also, rise over run which is (y₂ - y₁)/(x₂ - x₁).

The burning equation of the candle is represented by  L = 15 - 1.5t.

Where L = length of the candle and any point of time and t = time in hours.

Now, we'll need two points from this equation to obtain the slope.

At, t = 2, L = 12. and at t = 4, L = 9.

So, the two points are (2, 12) and (4, 9).

∴ Slope(m) = (9 - 12)/(4 - 2).

Slope(m) = -3/2.

The slope of this equation describes the rate at which the height of the candle is changing.

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Number of adult tickets sold = Number of child tickets sold =

Answers

Given:

Total ticket = 321

Total collection = $3535

Adult ticket price = $15

Child ticket price = $5

Find-:

(1)

Number of adult tickets sold

(2)

Number of child tickets sold

Explanation-:

Let the number of adult tickets = x

Let the number of child tickets = y

If the total ticket is 321 then,

[tex]x+y=321........................(1)[/tex]

Price for adult ticket is:

[tex]=15x[/tex]

The price for child ticket is:

[tex]=5y[/tex]

total price is $3535 then,

[tex]15x+5y=3535...................(2)[/tex]

From eq(1)

[tex]\begin{gathered} x+y=321 \\ \\ 5x+5y=1605..............(3) \end{gathered}[/tex]

So eq(2) - eq(3) is:

[tex]\begin{gathered} (15x+5y)-(5x+5y)=3535-1605 \\ \\ 15x-5x+5y-5y=1930 \\ \\ 15x-5x=1930 \\ \\ 10x=1930 \\ \\ x=\frac{1930}{10} \\ \\ x=193 \end{gathered}[/tex]

Put the value in eq(1) then,

[tex]\begin{gathered} x+y=321 \\ \\ 193+y=321 \\ \\ y=321-193 \\ \\ y=128 \end{gathered}[/tex]

So,

Number of adult tickets = 193

Number of child tickets = 128

Triangle ABC is inscribed in the circle with arcs shown. find X and the measures of angle A, angle B, Angle C

Answers

The total circumference of a circle = 360°

Therefore,

[tex]\text{arc AB + arc BC+ arc AC}=360^0[/tex]

Where,

[tex]\begin{gathered} \text{arc AB=(6x+10)}^0 \\ \text{arc BC=(x+15)}^0 \\ \text{arc AC=((8x-40)}^0 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} (6x+10)^0+(x+15)^0+(8x-40)^0=360^0 \\ 6x^0+x^0+8x^0+10^0+15^0-40^0=360^0 \\ 15x^0-15^0=360^0 \\ 15x^0=360^0+15^0 \\ 15x^0=375^0 \\ \text{divide both sides by }15 \\ \frac{15x}{15}=\frac{375^0}{15} \\ x=25^0 \end{gathered}[/tex][tex]\begin{gathered} \text{arc AB=(6x+10)}^0=(6\times25+10)^0=150^0+10^0=160^0 \\ \text{arc BC=(x+15)}^0=(25^0+15^0)=40^0 \\ \text{arc AC=(8x-40)}^0=(8\times25^0-40^0)=200^0-40^0=160^0 \end{gathered}[/tex]

To calculate

[tex]\begin{gathered} \angle A,B,\angle C \\ We\text{ will use the theorem,} \\ \text{The measure of an insribed angle in a circle equals half the measure of the intercepting arc} \\ \end{gathered}[/tex][tex]\begin{gathered} \angle A=\frac{arc\text{ BC}}{2} \\ \angle A=\frac{40^0}{2}=20^0 \end{gathered}[/tex][tex]\begin{gathered} \angle B=\frac{arc\text{ AC}}{2} \\ \angle B=\frac{160^0}{2}=80^0 \end{gathered}[/tex][tex]\begin{gathered} \angle C=\frac{arc\text{ AB}}{2} \\ \angle C=\frac{160^0}{2}=80^0 \end{gathered}[/tex]

Hence,

x = 25°

∠ A=20°

∠ B=80°

∠ C=80°

Solve the problem15) 21 and 22 are supplementary angles. What are the measures to the nearest hundredth) of the two angles?5x - 92I

Answers

∠1 is 31.5°

∠2 is 148.5°.

Given:

∠1 = x

∠2 = 5x-9

The measure of ∠1 and ∠2 are supplementary angles.

First, the value of x can be calculated as,

[tex]\begin{gathered} \angle1+\angle2=180\degree \\ 5x-9+x=180\degree \\ 6x-9=180\degree \\ 6x=180+9 \\ 6x=189 \\ x=\frac{189}{6} \\ x=31.5 \\ x=\angle1 \end{gathered}[/tex]

Substitute the value of x in ∠2.

[tex]\begin{gathered} \angle2=5x-9 \\ =5(31.5)-9 \\ =157.5-9 \\ =148.5 \end{gathered}[/tex]

Hence, the measure of ∠1 is 31.5° and the measure of ∠2 is 148.5°.

Please help me solve. I also need help on what ratios to put in the two boxes before the answer. Do I just choose any of them?

Answers

Explanation

By metric conversion

[tex]\begin{gathered} 1\text{ mile =}1.61km \\ 1\text{ hour = 60 mins} \end{gathered}[/tex]

Therefore;

[tex]\frac{57mi}{1hr}\times\frac{1.61}{1}\times\frac{1}{60}=1.5295\frac{km}{\min }[/tex]

Answer:

[tex]\begin{gathered} \text{Box 1= }\frac{\text{1.61}}{1} \\ \text{Box 2=}\frac{1}{60} \\ \text{Box 3=}1.53 \end{gathered}[/tex]

Mr Gregory drives a furniture delivery truck 4 days each week the table below shows the driving record for 1 week find the difference in meters between the distance Mr Gregory traveled on Wednesday and Thursday

Answers

ANSWER:

6150 meters

STEP-BY-STEP EXPLANATION:

To calculate the difference between the two days we must calculate the subtraction of the values corresponding to the days Wednesday and Thursday.

[tex]80.75\text{ km}-74.6\text{ km}=6.15\text{ km}[/tex]

Now, we convert this value in kilometers to meters, knowing that 1 kilometer is equal to 1000 meters:

[tex]6.15\text{ km}\cdot\frac{1000\text{ m}}{1\text{ km}}=6150\text{ m}[/tex]

will send image. select the expression. that is not equivalent to 10 + 10p

Answers

We have that

[tex]\begin{gathered} 5(10\text{ + p +p) = 5(10 + 2p)} \\ =\text{ 50 + 10p }\ne\text{ 10 + 10 p} \end{gathered}[/tex]

So the answer is the first one.

9b 9a) Use the slope formula to determine the rate of change eq y- and find the y-intercept "5" by substituting the x and y values into y=mx + b

Answers

A) We need to find the rate of change of the function first.

The rate of change or slope of the line is:

[tex]m=\frac{y_2-y_1}{x_2-x_1_{}}[/tex]

Where x and y are the coordinates of a point in line.

In order to calculate the slope we can take the poinst:

x1 = -6, y1 = 4

x2 = -2, y2= 1

Using the formula of above we find that the slope is:

[tex]m=\frac{1-4}{-2-(-6)}=-\frac{3}{4}[/tex]

Now, in order to find the value of y-intercept of the line we can use formula:

[tex]y=m\cdot x+b[/tex]

Which is the function of the line. From the formula of above we don't know the value of b (the y-intercept).

But we know that the formula must be valid for a point in the line. We can find the value of b replacing the coordinates of a point in the line, let's choose: x = -6 and y = 4, so:

[tex]4=\text{ m}\cdot(-6)+b[/tex]

Now we use the value of m of above:

[tex]4=(-\frac{3}{4})\cdot(-6)+b[/tex]

And from the last equation we can see that:

[tex]b=4-\frac{3}{4}\cdot6=4-\frac{9}{2}=\frac{8}{2}-\frac{9}{2}=-\frac{1}{2}[/tex]

So, the equation of the line is:

[tex]y\text{ = -}\frac{\text{3}}{4}\cdot x-\frac{1}{2}[/tex]

And the y-intercept is obtain replacing x = 0, so the y-intercept is: y = -1/2

b) From the stepts of above we already know an equation that represents the function! It is:

[tex]y\text{ = -}\frac{\text{3}}{4}\cdot x-\frac{1}{2}[/tex]

c) Now, we need to use the last equation to find y = n in the table. We know from the table that the value x for that value of y is x = 3, so we replace that value in the equation of the line:

[tex]y\text{ = -}\frac{\text{3}}{4}\cdot3-\frac{1}{2}=-\frac{9}{4}-\frac{1}{2}=-\frac{9}{4}-\frac{2}{4}=-\frac{11}{4}[/tex]

So the value of n is:

[tex]n\text{ = -}\frac{\text{11}}{4}[/tex]

I need help solving an optimization math problem please :)

Answers

Answer:

Explanation:

Let the side opposite the river = x

Let the adjacent side to the river = y

Which of the following is equal to - 7/4w expressed as a linear combination of vectors, if W= -1/2i- 3/2j?

Answers

[tex]w=-\frac{1}{2}i-\frac{3}{2}j[/tex]

Therefore, the scalar multiplication of vector -7/4 w is given by

[tex]-\frac{7}{4}w=-\frac{7}{4}(-\frac{1}{2}i-\frac{3}{2}j)[/tex][tex]=\frac{7}{8}i+\frac{21}{8}j[/tex]

Hence, the linear combination is 7/8 i + 21/8 j

Which statement is equivalent to ~p? p: Even numbers are divisible by 2.

Answers

The statement ~p is "Even numbers are not divisible by 2."

Given statement:-

p: Even numbers are divisible by 2.

We have to find ~p for the statement p.

We know that ~p means negation of p.

Hence, we will negate the statement by adding "not" in the statement.

Hence, the statement will become,

Even numbers are not divisible by 2.

Negation of a statement

In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written ~P or -P.

It is interpreted intuitively as being true when P is false, and false when P is true.

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A flower bed is in the shape of a rectangle. It measures7 yd long and 4 yd wide. Chris wants to use mulch tocover the flower bed. The mulch is sold by the squarefoot. Use the facts to find the area of the flower bed insquare feet.2ftX 5?Conversion facts for length1 foot (ft)1 yard (yd)1 yard (yd)===12 inches (in)3 feet (ft)36 inches (in) i need help with this math problem.

Answers

Answer

252 ft²

Step-by-step explanation

1 yard is equivalent to 3 feet. Using this conversion factor, the equivalence of 7 yd is:

[tex]\begin{gathered} 7\text{ yd =}7\text{ yd}\cdot\frac{3\text{ ft}}{1\text{ yd}} \\ \text{ Simplifying the units:} \\ 7\text{ yd =}\frac{7\cdot3}{1}\text{ ft} \\ 7\text{ yd }=21\text{ ft} \end{gathered}[/tex]

Similarly, the equivalence of 4 yards is:

[tex]\begin{gathered} 4\text{ yd }=4\text{ yd}{}\cdot\frac{3\text{ ft}}{1\text{ yd}} \\ 4\text{ yd }=4\cdot3\text{ ft} \\ 4\text{ yd}=12\text{ ft} \end{gathered}[/tex]

Therefore, the length of the bed is 21 ft and the width is 12 ft.

Finally, the area of the bed (a rectangle) is calculated as follows:

[tex]\begin{gathered} A=legnth\cdot width \\ A=21\cdot12 \\ A=252\text{ ft}^2 \end{gathered}[/tex]

At a coffee shop, there is a pot that has a volume of 5.4 L. Find how many cubic centimeters of coffee will completely fill the pot

Answers

Given:

Total volume = 5.4 L.

We know that 1 L is equivalent to 1000 cubic centimetres; hence:

[tex]5.4L\times\frac{1000cm^3}{1L}[/tex]

ANSWER

5400 cm³ of coffee will completely fill the pot

Given that A = {1, 2,2 3} and B = {4, 6}, then find B×A

Answers

The solution for set B × A is {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}

Given,

The sets,

A = {1, 2, 3}

B = {4, 6}

We have to find B × A.

Here,

Consider the Cartesian product:

The set of all ordered pairs (x, y) such that x belongs to A and y belongs to B is referred to as the Cartesian Product of sets A and B in mathematics. For instance, the Cartesian Product of A and B is (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), and (2, 5) if A = [1, 2] and B = [3, 4, 5].

The Cartesian product of B × A = {(b, a) | b € B, a € A}

So,

B × A = {4, 6} × {1, 2, 3}

B × A = {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}

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For Hox)=2x– 9 and 96 = ; « +9), find (10 g)(x) and (gof)(x). Then determine whether (f = 9/8)= (4 * H(X).What is (fog)x)?(10 g)x)=0

Answers

Given the functions;

[tex]\begin{gathered} f(x)=2x-9 \\ g(x)=\frac{1}{2}(x+9) \end{gathered}[/tex]

We want to find the composite functions;

[tex]undefined[/tex]

Karen wants to buy a new car but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simpleInterest. They lend her $8000 for 6 years. She makes no payments except the one at the end of that time.Answer the following questions. If necessary, refer to the list of financial formulas.х5?(a) How much total interest will Karen have to pay?s0(b) What will the total repayment amount be (including Interest)?s[]

Answers

Answer:

a) $1,920

b) $9,920

Explanation:

Step 1. Gather all of the information.

The amount borrowed will be the principal or starting amount P:

[tex]P=8,000[/tex]

The interest rate will be r:

[tex]r=4\text{ percent}[/tex]

We will need the interest rate in decimal form, for that, divide the percentage amount by 100:

[tex]\begin{gathered} r=\frac{4}{100} \\ \downarrow \\ r=0.04 \end{gathered}[/tex]

And the time of the loan is 6 years, this will be the value of t:

[tex]t=6[/tex]

Step 2. To solve part a, we use the following formula to calculate the interest:

[tex]I=p\times r\times t[/tex]

Substituting all of the known values:

[tex]I=8,000\times0.04\times6[/tex]

The result is:

[tex]I=1,920[/tex]

The total interest that Karen will have to pay is $1,920.

Step 3. To solve part b, we need to find the total repayment amount.

To find this, we add the interest and the principal amount:

[tex]T=P+I[/tex]

Where T represents the total amount.

Substituting P and I:

[tex]\begin{gathered} T=8,000+1,920 \\ \downarrow \\ T=9,920 \end{gathered}[/tex]

The total amount she will have to repay is $9,920.

Answer:

a) $1,920

b) $9,920

9×2=2×9 what is the property of this problem?

Answers

The property involved is called "commutative property of product"

SInce we are flipping the oerder of the factors and arrive at the same result.

The "flipping is called "commuting" in Math terms.

O GRAPHS AND FUNCTIONSGraphing a piecewise-defined function: Problem type 1

Answers

Answer:

Explanation:

To get the plot of h(x), we just plot the given values of y at the given values of x.

For example, we are told that between x = -3.5 and -2.5, h(x) = -3. Therefore, the plot gives

The hollow circle tells us that the value x = -3.5 itself is not included. The solid circle tells us that x = -.2.5 is included. All this comes from the fact that the interval given is -3.5 < x ≤ -2.5.

Using the same method for other entries on the graph, we get our desired plot.

Find the midpoint of the segment below and enter its coordinates as anordered pair. If necessary, express coordinates as fractions, using the slashmark ( 1 ) for the fraction bar.

Answers

Consider that the coordinates of the mid-point of a line segment is given by the formula,

[tex]\begin{gathered} x=\frac{x_1+x_2}{2} \\ y=\frac{y_1+y_2}{2} \end{gathered}[/tex]

The given diagram represents the line segment between the points (-3,4) and (-6,-1).

So the corresponding mid-point is given by,

[tex]\begin{gathered} x=\frac{-3+(-6)}{2}=\frac{-9}{2} \\ y=\frac{4+(-1)}{2}=\frac{3}{2} \end{gathered}[/tex]

Thus, the mid-point of the given line segment is ( -9/2 , 3/2 ) .

5. a) Look at the number grid below. Shade the Multiples of 4, 1 2 3 4 5 6 7 00 8 9 10 11 12 13 14 15 16 17 17 18 19 20

Answers

We need to find the multiples of 4 using the next given set:

The multiples of 4 are given by

4*1 =4

4*2 = 8

4*3= 12

4*4=16

4 *5 =20

Then:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20​.

Which describes the product when two fractions greater than 0 and less than 1 are multiplied?

Answers

When you multiply two numbers, one of them greater than 0 and the other one lower than 1. The result is a number that is lower than the first one, that is, a number lower than the number greate than 0.

Use four rectangles to estimate the area between the graph of the function f(x) = Ty and the taxis on the interval 12, 6) using the left endpointsof the subintervals as the sample points. Write the exact answer, Do not round,

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To find the area using four rectangles, we will use the following equation:

[tex]Area\approx A_1_{}+A_2+A_3+A_4[/tex][tex]Area\approx f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x+f(x_4)\Delta x[/tex][tex]Area\approx f(3)\Delta x+f(4)\Delta x+f(5)\Delta x+f(6)\Delta x[/tex][tex]Area\approx(\frac{6}{7(3)})(1)+(\frac{6}{7(4)})(1)+(\frac{6}{7(5)})(1)+(\frac{6}{7(6)})(1)[/tex][tex]Area\approx\frac{57}{70}[/tex]

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