Simplify the expression.

−6−7

[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]

Answer:

r≈.8m

Step-by-step explanation:

Formula used

A=πr2

r=√a/π =√2/π ≈.79788

rounded it is .8m

Answer:

B has a bigger circumference.

It is larger by 69.5 cm

Step-by-step explanation:

B: 3.14×5²=78.5

A: 9

Answer:

n=8

n=-2

Step-by-step explanation:

or,n-3=5

or,n=5+3

or,n=8

Now consider,

or,n-3=-5

or,n=3-5

or,n=-2

Answer:

  18 square units

Step-by-step explanation:

When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.

Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...

  A = 1/2bh

  A = 1/2(6)(6) = 18 . . . . square units

_____

Alternate solution

If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.

The length of LK is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10

The distance to line LK can be found by writing the equation of the line LK in general form:

  4x -3y -7 = 0

Then the distance formula for point (x, y) is ...

  d = |4x -3y -7|/√(4^2 +3^2)

  d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6

Using the area formula with these dimensions gives ...

  A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units

Answer:

18 square units

Step-by-step explanation:

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Answer:

x = 8 - 4y

Step-by-step explanation:

16/2 = 8

8y/2 = 4y

The value of x of the expression is x = 8 - 4y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x = (1/2)(16 - 8y)

Removing the parenthesis.

x = 16/2 - 8y/2

x = 8 - 4y

Thus,

The value of x is 8 - 4y.

Learn more about expressions here:

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Answer:

x intercept - (-2,0)

y intercept (0,5)

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

that is known as the vertical line test

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does no represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Step-by-step explanation:

Answer:

  (p∘q)(5) = 2

  (q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

  (p∘q)(x) = p(q(x))

  (p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

  (p∘q)(5) = 2

__

  (q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

  (q∘p)(5) = -1

Answer:

Step-by-step explanation:

red and green

you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line

the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.

to prove this, set each equation equal to zero and solve-

so 2x-3=0

2x=3

x=1.5

4-5x=0

-5x=-4

x=0.8

also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves

Answer:

2.4 miles per hour

Explanation:

Since you ran 12 miles in 5 hours, you have to divide 12 by 5 to get the total amount of miles for 1 hour.

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = population of the city in 2015

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = population of the city in 2020

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

Step-by-step explanation:

why ? you have started it correctly already, as I can see by the margins you made on the graph.

you analyzed the problem correctly, approached the solution correctly and gathered all necessary data.

so, I am not sure, what your problem is.

if you don't know what a slope is, then I don't understand why you did what you did so far.

the slope is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

for these 2 points you marked, you also showed that

x changes by +2 (from 2 to 4).

y changes by +6 (from -4 to 2).

so, the slope is +6/+2 = 3.

that's it. that is all to it.

Answer:

The number is 1

Step-by-step explanation:

let the number be n

n-5=2n-6

n-2n=-6+5

-n=-1

n=1

Answer:

9

Step-by-step explanation:

12÷1 [tex]\frac{1}{3}[/tex]=9

Answer: there is nothing here with the info i need 2 anwser this question srry.

Step-by-step explanation:

Answer:

i think it is 65

Step-by-step explanation:

the 4th cube number is 64 and the first square number is 1 64+1=65

however if you use the first square number as 4 then it is 68

The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet

The dimensions are given as:

[tex]Width = 6ft[/tex]

[tex]Depth = 10ft[/tex]

[tex]Height = 12ft[/tex]

The volume of the storage room is the product of the dimensions.

So, we have:

[tex]Volume= Width \times Depth \times Height[/tex]

Substitute values for Width, Depth and Height

[tex]Volume= 6ft \times 10ft \times 12ft[/tex]

Multiply the dimensions

[tex]Volume= 720ft^3[/tex]

Hence, the volume of the storage room is 720 cubic feet

Read more about volumes at:

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Answer:

Step-by-step explanation:

2/8 inch = ¼ inch

1 ft = 12 inch

17(2(12) + 6¼) = 514¼ inches

provided a shear with zero kerf is used.

If [tex]f^{-1}(x)[/tex] is the inverse of f(x), then

[tex]f\left(f^{-1}(x)\right) = x[/tex]

By definition of f(x), we have

[tex]f\left(f^{-1}(x)right) = 6f^{-1}(x) + 4 = x[/tex]

Solve for the inverse :

[tex]6f^{-1}(x) + 4 = x[/tex]

[tex]6f^{-1}(x) = x - 4[/tex]

[tex]f^{-1}(x) = \dfrac{x-4}6[/tex]

which makes C the correct choice.

Answer:

33y

Step-by-step explanation:

since the equation of perimeter for a rectangle is lengthX2 + widthX2

and the width is given to be 5 1/2y is it? If it is so then the length will be 11y since 2X5 1/2y is 11y

and the perimeter will then be calculated as so;

11yX2 + 5 1/2yX2

so it will be 22y+11y which will give you 33y

Answer:

OK okokokokokokokokokokokok

Answer:

1.9375

Step-by-step explanation:

used a clacalator

Answer:

31/16 or 1.9375 or 1 and 15/16

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You're looking for x-intercepts

From the graph you know that the x-intercepts are as follows:

x = -4, x = -2, x = 4

And this is when y or f(x) = 0

so you can rewrite each x-intercept as an equation

0 = x + 4

0 = x + 2

0 = x - 4

Now you know each of the terms

f(x) = (x-4)(x+2)(x+4)

Answer:

A choice.

Step-by-step explanation:

If you notice, you see the graph having x-intercepts which are x = 4, -2 and -4.

Because the graph passes through x = 4, -2 and -4, we have to find the function that satisfy x-values when f(x) = 0.

Finding x-intercepts, let f(x) = 0.

A choice

f(x) = (x-4)(x+2)(x+4)

Let f(x) = 0 to find x-intercepts.

0 = (x-4)(x+2)(x+4)

Then solve the equation like linear.

Hence, x = 4,-2,-4

Since the x-intercepts are (4,0),(-4,0) and (-2,0), it satisfies the graph and therefore A is correct.

Answer:

No question!

Step-by-step explanation:

Hi! Could you please insert a question so I could answer for you?

I would love to help!

Answer: The answer is 1,024.

Explanation: 32^2 is 32 x 32, which is 1,024.

Given A.P = 3,8,13,...,253

Common difference = 8-3 = 5

The AP from the end = 253, 248,245,...,13,8,3

First term from the end = 253

Common difference = 248-253 = -5

We know that

an = a+(n-1)d

t20 = 253+(20-1)(-5)

→ t 20 = 253 +(19)(-5)

→ t 20 = 253-95

→ t 20 = 158

20th term from the end of the AP = 158

Answer:

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