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laila [671]
3 years ago
15

Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm. How much greater was the volume of air in the

larger ball than the smaller ball? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Enter your answer in the box.
Mathematics
2 answers:
GaryK [48]3 years ago
7 0

Answer: 17.182.08, I took the test and got a 100%, YOU will too!!

EVERYONE HAVE A GREAT DAY!!! Hope I put a smile on your face :)))

Step-by-step explanation:

BlackZzzverrR [31]3 years ago
6 0
The answer is  17,182.08 cm³
 
To calculate this we need to calculate the volume of each ball V2 - V1 = ?
The volume of a sphere with radius r is:
V = 4/3 π r³

Ball 1:
r1 = 18 cm
V1 = 4/3 * 3.14 * 18³
V1 = 24,416.64 cm³


Ball 2:
r2 = 12 cm
V2 = 4/3 * 3.14 * 12³
V2 = 7,234.56 cm³

<span>How much more water is in the larger balloon than in the smaller balloon:
V2 - V1 = </span>24,416.64 cm³ - 7234.56 cm³
             = 17,182.08 cm³
     
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Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
3 years ago
If one point on a line is (-2,8) and the line’s slope is -3/2 find the y intercept
stellarik [79]

Answer:

The y intercept is 5

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -3/2x+b

Substitute the point into the equation and solve for b

8 = -3/2(-2)+b

8 = 3+b

8-3 =b

5=b

The y intercept is 5

5 0
3 years ago
Sally has 2 cats and each cat eats 1/4 of a tin of cat food each day.
Mashutka [201]

If one cat eats 1/4 of a tin per day then two cats eat 1/2 of a tin per day.

We have 9 tins so if each day cats eat 1/2 we have to divide 9 with 1/2 and we get 18 which is for how many days she can feed the cats until she runs out of food.

Hope this helps.

5 0
3 years ago
Read 2 more answers
You Try!Owhich answers from the set make the inequality true? V &gt; 10{3, 4, 7.9.5, 11.2 12}Qwhichanswers from the set make the
Komok [63]

1.

Checking the numbers that are greater than 10 in this set, we have:

11.2 and 12

2.

The numbers in this set that are lesser than or equal 9 are:

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3.

Solving the inequality, we have:

\begin{gathered} x+3>10 \\ x>10-3 \\ x>7 \end{gathered}

Three values greater than 7 are:

8, 9, 10

4.

Solving the inequality, we have:

\begin{gathered} 3x

Three values smaller than 5 are:

4, 3, 2

5.

Solving the inequality, we have:

\begin{gathered} \frac{x}{5}\ge2 \\ x\ge2\cdot5 \\ x\ge10 \end{gathered}

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10, 11, 12

5 0
1 year ago
I need help with this question y×e=?
Len [333]
Y*e = ey. You would always want the variables to be in alphabetical order.
4 0
3 years ago
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