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My name is Ann [436]
3 years ago
14

A sphere has a volume of 36 pie inches cube. What is the radius of the sphere?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

3 in

Step-by-step explanation:

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Kwasi has earned $60 in babysitting money. He spends 40% of this money buying drinks for himself and two friends at Starbucks. H
mart [117]

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned \$60 in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36

So, Kwasi has enough money left to buy a skateboard.

3 0
3 years ago
1) What is the first x in x + 3x = 16?
Lyrx [107]
1. x=22/5
2. x=4
3. x=4
5 0
3 years ago
Chlorofluorocarbons (CFCs) were used as propellants in spray cans until their buildup in the atmosphere started destroying the o
melamori03 [73]

Answer:

a) C(2000)=1915

C(2014)=1915

b) C'(2000)=-\frac{275}{14}

C'(2014)=-\frac{275}{14}

c) C(t)=-\frac{275}{14}t+\frac{288405}{7}

d) t=2021

e) too early

Step-by-step explanation:

a)

Since C(t) is the concentration of CFCs in ppt in year t, all we need to do to solve this part is determine what the concentration of CFCs is in years 2000 and 2014. Luckily for us, the problem already gives us those values, so:

C(2000)=1915    concentration in year 2000

C(2014)=1915      concentration in year 2014

b)

By definition, the derivative of a function at a given point is interpreted as the slope of the tangent line to the point of interest, so in order to find this answer, we need to find the slope of the line. Since the problem specifies that the behavior is linear, this means that the slope will always be the same no matter the year, so we get:

m=C'(t)=\frac{C'(t_{2})-C'(t_{1})}{t_2-t_1}

so:

C'(t)=\frac{1640-1915}{2014-2000}=-\frac{275}{14}\approx -19.64

therefore:

C'(2000)=-\frac{275}{14}

C'(2014)=-\frac{275}{14}

c)

Since the behavior is linear, we can calculate it with the point-slope form of the line which is:

y-y_{1}=m(x-x_{1})

in this case:

C(t)-C(t_1)=C'(t)(t-t_{1})

so we get:

C(t)-1915=-\frac{275}{14}(t-2000)

and we can now solve for C(t) so we get:

C(t)=-\frac{275}{14}t+\frac{275000}{t}+1915

for a final answer of:

C(t)=-\frac{275}{14}t+\frac{288405}{7}

d)

So next we solve the equation for C(t)=1500 so we get:

1500=-\frac{275}{14}t+\frac{288405}{7}

1500-\frac{288405}{7}=-\frac{275}{14}t

-\frac{277905}{7}=-\frac{275}{14}t

t=2021 \frac{7}{55}

so we will reach that concentration level at the year 2021 approximately.

e)

Since the second derivative of the concentration function is greater than zero, this means that the original function might be a function in the form: .

This means that the decrease of the concentration levels is slower than that of a linear equation. So the projected date will be too early than the real date.

8 0
3 years ago
What percent of salons in Jamesville employ 18 or fewer stylists?
8090 [49]

Answer:

100%

Step-by-step explanation:

I got this wrong and i clicked until i got %100 try it:O)

6 0
3 years ago
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
8_murik_8 [283]

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

7 0
4 years ago
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