The ordered pair(2,-3) is a solution to which of the following inequalities?
a. y-2x>-5
b. y ≥-2x+2
c. 4y+2x≤-1
d. y<3x-9

Answer:

5.52 inch

Step-by-step explanation:

Recall :

Area of Sector : θ/ 360 * πr²

Sectors that do not allow movement : (8-3-2) = 3

Total sectors = 8

θ/ 360 = 3/8 ; Area = 35.9

Radius = r

35.9 = 3/8 * π * r²

35.9 / (3/8 * π) = r²

30.472866 = r²

r = √30.472866

r = 5.52 inch

The radius of the spinner is 5.520 inch whose  [tex]\frac{3}{8}[/tex]  sector area is 35.9 inches square.

It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.

It is required to find the radius of the spinner.

The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.

We know the formula of sector area (A):

[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex]    Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree

The remaining sectors = ( Total sectors - Three sectors - Two sectors)

= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token

Total sector = 8

[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]

Putting these values in the above formula, we get:

[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159

[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]

Thus, the radius of the spinner is 5.520 inch.

Learn more about the area of sectors here:

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Answer:

C

Step-by-step explanation:

first cube :

4 × 3 × 6 = 72 m³

second cube :

4 × 4 × 4 = 64 m³

sum of both cubes :

72 + 64 = 136 m³ ( C )

Answer:

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Step-by-step explanation:

Recipe for 1 smoothie:

1/3 of an apple

1/4 of a lemon

2/3 of peach

A family of 6 arrives and they all want that smoothie.

Multiply every recipe for 1 smoothie by 6

Recipe for 6 smoothies:

6 × 1/3 of an apple

= 6/3 = 2 apples

6 × 1/4 of a lemon

= 6/4 = 3/2 of a lemon

6 × 2/3 of peach

= 12/3 = 4 peaches

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Answer:

Probability

Step-by-step explanation:

Answer:

Probability.

Step-by-step explanation: This is the chance of an event or something happening. Like one green, blue, yellow, and a red square have a1/4 chance of happening since there are four. This can go to 1/6 if we add white and purple to the spinner.

Answer:

A = 1/2 b * h

b = 2A / h

b = 12

Step-by-step explanation:

Remark

The formula starts out as

A = 1/2 * b * h  

You want to rearrange it to show b by itself.

Formula

Multiply by 2

2A = b * h            

Divide by h

2A/h = b

Part C

b = 2A / h

A = 36 mm^2

h = 6 mm

b = 2*36 / 6

b = 72 / 6

b = 12 mm

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

Answer:

4z

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

E=10×10+25

but solve it to make sure

the answer is 130° a p e x

Answer:

90

Step-by-step explanation:

Answer:

am preety sure the total s 40%

Step-by-step explanation:

Step-by-step explanation:

9x8= 72

therefore 36 x 2 are the products

9 n^2 - 36n + 2 n -8

9 n( n-4) + 2( n- 4)

therefore the two factors are

( 9 n +2) ( n-4)

Answer:

B. (-3+5i)(1)= -3+5i

Step-by-step explanation:

The multiplicative identity property states that any number or polynomial times 1 will be equal to itself. In answer B, a polynomial is multiplied by 1 and then equals itself. None of the other answers have 1 as a term, and therefore cannot be correct.

Answer: at 4 months the cost for each gym is $250

Step-by-step explanation:

At 4 month, the cost for each gym is $250

The y axis of the graph represents the membership cost and the x axis represent the number of month.

The lines representing gym A and B intersect at (4, 250).

The point where the lines intersect is when the cost and the month for each gym are the same.

Therefore, at 4 month, the cost for each gym is $250

learn more on linear equation here:https://brainly.com/question/13314270

Answer:

there was 12 pencil's in each package because 12 ×4=48 48 -8=40

Answer:

18 ft and 24 ft

Step-by-step explanation:

3:4

6:8

9:12

12:16

15:20

18:24, 18+24=42

The two  lengths into which the cable is divided is 18 and 24.

Given that,

Based on the above information, the calculation is as follows:

The first length be

[tex]= 42 \times 3 \div (3 + 4)[/tex]

= 18

And, the second length be

[tex]= 42 \times 4 \div (3 + 4)[/tex]

= 24

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Answer:

Lord have mercy thats a bunch of numbers I woud help but i dont know how to start

Step-by-step explanation:

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

Question:

The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.

Answer:

The equivalent is 37.5%

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex]

Required

The equivalent

The model is not shown, but the question can still be solved.

We have:

[tex]\frac{3}{8}[/tex]

Multiply by 100%

[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]

[tex]\frac{3}{8} = 0.375 * 100\%[/tex]

[tex]\frac{3}{8} = 37.5\%[/tex]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

[tex]f(x)=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]y=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]x=\frac{e^7^y+\sqrt{3}}{2}[/tex]

[tex]2x=e^7^y+\sqrt{3}[/tex]

[tex]e^7^y=2x-\sqrt{3}[/tex]

[tex]7y=ln(2x-\sqrt{3})[/tex]

[tex]y=\frac{ln(2x-\sqrt{3})}{7}[/tex]

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

[tex]g(f(x))[/tex]

[tex]g(\frac{e^7^x+\sqrt{3}}{2})[/tex]

[tex]\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}[/tex]

2s cancel.

[tex]\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}[/tex]

The natural log and e cancel.

[tex]\frac{7x+\sqrt{3}-\sqrt{3}}{7}[/tex]

[tex]\sqrt{3}[/tex]s cancel.

[tex]\frac{7x}{7}[/tex]

7s cancel.

[tex]x[/tex]

Hope this helps!

Answer:

I think the answer wold be -5/3 or -1.666666667 .

The value of the given expression is,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

The given logarithmic expression is,

[tex]log_8 \frac{1}{32}[/tex]

Since we know that,

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to expressing enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.

We can write the given expression as,

[tex]log_8 \frac{1}{32}[/tex] =   [tex]log_8 32^{-1[/tex]

          = - [tex]log_8 32[/tex]                  [ [tex]log_a b^x = x log_a b[/tex]]

          = - [tex]log_{2^3} 2^5[/tex]

          =  - [tex]\frac{3}{5} log_{2} 2[/tex]                 [ [tex]log_{a^y} b^x = \frac{x}{y} log_a b[/tex]]

          = -3/5                       [  [tex]log_{a} a = 1[/tex]]

Hence,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

To learn more about exponent visit:

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Answer:

They are both 12

Change 16 1/4 into 4.

4 • 3

12

16 • 3 is 48

1/4 of 48 is 12

Hope this helps

Answer:

point form : (9,2) equation form : x=9 y=2

Step-by-step explanation:

Answer:

don't know but I think these is the answer =

17

Step-by-step explanation:

90 - 73 = 17

Answer:

Radius=7.5cm

Diameter=15cm

Step-by-step explanation:

The radius is half of the diameter which is the length of the circle measured across (or through I guess), so the radius is what is shown 7.5, and the radius doubled (x2) is the diameter so 7.5x2 = 15.

HOPE THAT HELPS AND MAKES SENSE! :)

Answer:

1 a+b+c+d

=(ab + c+ d)

=ab+ a+c+ a+d

Answer:

10

Step-by-step explanation:

Note that when there are two negative signs directly next to each other, you are adding:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]

Simplify:

[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]

10 is your value for the given expression

Answer:

Step-by-step explanation:

Answer:

474.5 ft ³

Step-by-step explanation:

1) Find the volume of the cube

[tex]A=l^3[/tex] where l is the side length

Plug in 9 ft as l

[tex]A=9^3\\A=729[/tex]

Therefore, the volume of the cube is 729 ft³.

2) Find the volume of the cylinder

[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder

Plug in 3 ft as the radius and 9 as the height

[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]

Therefore, the volume of the cylinder is approximately 254.5 ft ³.

3) Subtract the volume of the cylinder from the volume of the cube

729 ft³ - 254.5 ft ³

= 474.5 ft ³

Therefore, the volume of the figure is 474.5 ft ³.

I hope this helps!

Answer:

I think It's A

Step-by-step explanation:

Answer:

7,5,3,1

Step-by-step explanation: