F(x)=x^2. what is g(x)?

The attendance office creates a bar graph to display the number of students tardy throughout the month. What is the range of the

aliina [53]

Answer:

60

Step-by-step explanation:

To find the range you subtract the highest and lowest value

The highest value on this graph is 105 from the month of May and the lowest value is 45 from the month of March.

When you do 105-45 you get 60 which is the range

5 0

3 years ago

A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0

3 years ago

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 i

shusha [124]

The surface area of the square pyramid will be 78.08 square inches.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

<h3 />

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

$SA = P\times\dfrac{l}{2}$

$SA = 25.6\times \dfrac{6.1}{2}$

SA = 78.08 square inches

Therefore the surface area of the square pyramid will be 78.08 square inches.

To know more about a surface area follow

brainly.com/question/23773586

#SPJ1

4 0

2 years ago

Find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. HINT [The tangent line is

Nostrana [21]

By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).

Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.

When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.

The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>

6 0

3 years ago

Zoe's mom is carpeting her room and needs to know the amount of floor space how many square feet of carpeting are needed for the

Radda [10]

The complete question in the attached figure

we know that
[Area of her bedroom]=[11*10]+[12*8/2]+[10*6]------> 218 ft²

the answer Part A) is
Are needed 218 ft² of carpeting for the room

[perimeter of her bedroom]=[11+10+11]+[12]+[6+10+6]+[8]-------> 74 ft

the answer Part B) is
Are needed 74 ft <span>of baseboards</span> for the room

6 0

3 years ago

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