1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shusha [124]
3 years ago
10

The volume of a boys' basketball is 434 cubic inches. Dan would like to get a ball

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

The correct answer is A. 9.4 inches.

Step-by-step explanation:

Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:

4/3 x 3.14 x X ^ 3 = 434

4.186 x X ^ 3 = 434

X ^ 3 = 434 / 4.186

X = 3√ 103.662

X = 4.7

In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).

You might be interested in
Solve for x. Show each step of the solution. Show all work. 4.5(8-x)+36-2.5(3x+24)=102
sergejj [24]

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

-4.5x + 7.5x = 42 - 72

3x = - 30

x = -30/3

x = -10 <===

Hope this helps!

4 0
3 years ago
Find derivative problem<br> Find B’(6)
dalvyx [7]

Answer:

B^\prime(6) \approx -28.17

Step-by-step explanation:

We have:

\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]

We can move the constant outside:

\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]

Now, we will utilize the product rule. The product rule is:

(uv)^\prime=u^\prime v+u v^\prime

We will let:

\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t

Then:

\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1

(The derivative of u was determined using the chain rule.)

Then it follows that:

\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}

Therefore:

\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]

By simplification:

\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0
3 years ago
Which equations represent functions?
never [62]

Answer:

2x + 3y = 10,  3y = 18  (in both cases, for each input x, there is exactly one output y.

Step-by-step explanation:

3y = 10 - 2x, or y = (1/3)(10 - 2x)   Yes, this is a function.

4x = 16 → x = 4        NOT a Function, because for x = 4 there are an infinite number of possible y -values

2x - 3 = 14 →  2x = 17  →  x = 17/2  Not a function.  See reason given above.

3y = 18 →  y = 6   Function

2x = 14.6   →  x = 7.3  Not a function.  See reason given above

4 0
3 years ago
Linear Equations<br> Question 2<br> What is the y-intercept in the equation y = 4x - 3?
viktelen [127]
The y intercept is -3
4 0
3 years ago
Read 2 more answers
Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for
Anestetic [448]

Answer:

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

Step-by-step explanation:

P.S - The exact question is -

Given - The Music Express is going to buy music bundles from a

             company that is going out of business. The company

             charges different amounts for bundles of pop and rock

             music:

             Cost for each pop music bundle is $1200

             Cost for each rock music bundle is $950

             One - time fee for rights to the pop music is $300

             One - time fee for rights to the rock music is $250.

To find - Write an equation that represents the total cost for pop

               music bundles.

              Write another equations to represent the total cost for rock

              music bundles.

              Identify the variables in the equations.

Proof -

Given that,

Cost for each pop music bundle is $1200.

Cost for each rock music bundle is $950.

One - time fee for rights to the pop music is $300.

One - time fee for rights to the rock music is $250.

Let the total music bundles buy = x

Now,

Given, Cost for 1 pop music bundle = $1200

⇒Cost for x pop music bundles = $ 1200 x

Also given,

One - time fee for rights to the pop music is $300.

∴ we get

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Now,

Given, Cost for 1 rock music bundle = $950

⇒Cost for x pop music bundles = $ 950 x

Also given,

One - time fee for rights to the pop music is $250.

∴ we get

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

5 0
3 years ago
Other questions:
  • Im not good at this kind of stuff can someone help me and explain it? thank you
    6·2 answers
  • Whats the fraction decimal and percent for 15 out of 9
    7·1 answer
  • Can someone please help me with this question??
    13·2 answers
  • The number of masthead students increased from 350 to 500 find the percent
    7·1 answer
  • 8 ft<br> Find the area of the figure.<br> The area is<br> square feet<br> Help me
    15·2 answers
  • 5^2 i want to know what that is.
    6·2 answers
  • Solve for thr length of a leg​
    12·1 answer
  • The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find th
    10·1 answer
  • Write in slope intercept form (y=mx+b) when the m is 2/3 and b is -4.
    8·2 answers
  • Identify the cross section that results from slicing the three-dimensional figure.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!