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Mathematics

1 answer:

jonny [76]2 years ago

3 0

Answer:

B. 100 pi units squared

Step-by-step explanation:

Find the surface area of a sphere with radius 5 using the formula SA=4pir²

Leave answer in terms of π = pi

From the question

The formula for the Surface Area if a square = 4 × pi × r²

r = 5

Hence,

Surface Area of a Sphere = 4 × pi × 5²

= 100 pi units squared

Option B is the correct option

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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $18. The total cost to re

DerKrebs [107]

C= chair cost
t= table cost

Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information.
3c+2t=$18
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3c+2t=18
Subtract 2c from both sides
3c=18-2t
Divide both sides by 3
c=(18-2t)/3

Substitute the value for c in equation two:
5c+6t=$48
5((18-2t)/3)+6t=48
(90-10t)/3+6t=48
Multiply everything by 3 to eliminate fraction
(3)((90-10t)/3)+(3)(6t)=(3)(48)
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Subtract 90 from both sides
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Substitute the t value to solve for c:
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3c+2(6.75)=18
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c=$1.50 chair cost

Check:
5c+6t=$48
5(1.50)+6(6.75)=48
7.50+40.50=48
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Hope this helps! :) If it does, please mark as brainliest.

7 0

2 years ago

Find the vertex form of: y=2x^2-5x+13

Ket [755]

The vertex form of a quadratic function is:

f(x) = a(x - h)² + k

The coordinate (h, k) represents a parabola's vertex.

In order to convert a quadratic function in standard form to the vertex form, we can complete the square.

y = 2x² - 5x + 13

Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.

y - 13 = 2x² - 5x

Factor out 2 on the right side of the equation.

y - 13 = 2(x² - 2.5x)

Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.

y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)

y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)

Add the constants on the left and factor the expression on the right to a perfect square.

y - 9.875 = 2(x - 1.25)²

Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.

y = 2(x - 1.25)² + 9.875

Vertex: (1.25, 9.875)

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2 years ago

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Given :-

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