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gregori [183]
2 years ago
13

Baseballs and softballs com in different sizes for different leagues. If the diameter of a baseball is 3 inches and a softball i

s 3.8 inches, find the difference between the volumes of the two balls. Use 3.14 for pie

Mathematics
2 answers:
Vanyuwa [196]2 years ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Diameter of baseball is given as 3 inches.

Hence the radius of baseball will be : \frac{3}{2}=1.5

Hence the volume of baseball is : \frac{4}{3}\pir^3

Hence the volume of baseball is : \frac{4}{3}\pi1.5^3

Hence the volume of baseball is : 14.13 inches cube

Now, diameter of softball is given as 3.8 inches.

Hence the radius of softball will be : \frac{3.8}{2}=1.9

Hence the volume of baseball is : \frac{4}{3}\pir^3

Hence the volume of baseball is : \frac{4}{3}\pi1.9^3

Hence the volume of baseball is : 28.72 inches cube

Hence the difference of volumes will be: 28.72-14.13

Hence the difference of volumes will be 14.59 or 14.6 inches cube

So the answer is 14.6 inches cube.    :    Answer

Hope it will help :)

tensa zangetsu [6.8K]2 years ago
7 0

Answer:

14.6 in^3 is correct.

Step-by-step explanation:

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Solve. Write the solution in interval notation. -2x>-8 and -5x<20.
Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

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∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

  inequality

∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

  inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0
3 years ago
4<br> How many 3-cup servings are in 4 cups?<br> A. 1/2<br> B. 2/<br> C. 4<br> D. 12
anygoal [31]
This questions stated differently so I’m assuming it’s 4?
7 0
1 year ago
What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
nika2105 [10]
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them 
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and  </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

 

4 0
3 years ago
Help please! It's a quiz. will mark brainliest for correct answer!
yarga [219]

Answer:

you first start by making your equation: 45 +.25x = 70 +.15x. then subtract .15x from both sides. it should look like 45 +.10x = 70. subtract 45 from both sides then you get .10x = 25. divide 10 to both sides and you get 250. so the two companies will be the same at 250 texts.

Step-by-step explanation:

8 0
3 years ago
Given that f(x) = 7x^2 − 84 = 0, find x.
jasenka [17]

Answer:

x = 3.464

Step-by-step explanation:

7x^2 - 84 = 0

7x^2 = 84

x^2 = 12

x= 3.464

8 0
3 years ago
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