What is the exact volume of a sphere that has a radius of 7.5 ft?

_____pi ft^3

Answers

Answer 1
Answer: sphere formula: (4)/(3)  \pi  x^(3)
(4)/(3) \pi  7.5^(3)
(4)/(3) 421.875 \pi
562.5\pi
V≈1767.15
Answer 2
Answer: The volume of a sphere is 4/3 * pi * radius^3. So the equation is 4/3 * pi * 7.5^3. First of all, 7.5^3 = 421.875. Then you 4/3 * pi * 421.875. 4/3 * 421.875 = 562.5. Then you do 562.5 x pi.
If you use pi as 3.14, then the answer is 1766.25.
If you use pi as 3.14159, then the answer is 
1767.144375.
If you're crazy and use pi as 3.141592653589793238462643383279502884197 then the answer is roughly 1
767.145867644259.
Hope I helped! :)

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Write words to match the expression. 24- ( 6+3)

Answers

Words to match the expression 24 - (6 + 3) is given as follows:

"the difference of 24 and the sum of 6 and 3"

Answer: Twenty-four minus the sum of six and three

Happy to help!

6.WRITE Math...Explain how you can estimatethe volume of a large container that holds5 rows of 4 snack-size boxes of cereal in its bottom layer and is 3 layers high. Each cereal box has avolume of 16 cubic inches.

Answers

first count snacks in a box = 5*4*3 = 60
V = 16 * 60 = 960 cubic inches.

Rewrite the expression with parentheses to equal the given value 100-30÷5 value 14

Answers

Answer:

(100 - 30) / 5      

Step-by-step explanation:

In this question we are given an expression.

We have to put parenthesis() in the expression, to make its value correct.

We follow a BODMAS rule, it states that if there are parenthesis in an expression or given equation, we need to first solve them and then followed by division, multiplication, addition and subtraction.

We are give the expression 100 - 30 / 5. We have to add parenthesis such that this expression gives a value of 14.

(100 - 30) / 5\n= 70 / 5\n= 14

Thus, the right expression is

(100 - 30) / 5

5/(100-30)=
5/70=
14. this is the answer

What are two consecutive numbers whose squares differ by 31

Answers

so 2 consecutive numbers are number that come right after each other so the numbers could be represented as x and x+1 where x represents an unknown umber

squares are the number times itself so
x time x and (x+1) times (x+1)
so therefor the difference is 31
obviously (x+1) times (x+1) is bigger than x times x so
x times x=(x+1) times (x+1)-31
so you multiply to findn the answer
x times x=x^2
pemdas so multiply
(x+1)(x+1)
use distributive property which si a(b+c)=ab+ac so
(x+1)(x+1)=(x+1)(x)+(x+1)(1)
distribute again
(x+1)(x)=x^2+1x
(x+1)(1)=1x+1
(x+1)(x+1)=x^2+1x+1x+1=x^2+2x+1
so we have
x^2=x^2+2x+1-31
add like terms
x^2=x^2+2x-30
subtract x^2 from both sides
x^2-x^2=x^2-x^2+2x-30
0=0+2x-30
0=2x-30
add 30 to both sides
30=2x
divide both sides by 2
15=x
subsitute
x+1 is second number
15+1=16

the numbers are 15 and 16
their squares are 225 and 256

the numbers are 15 and 16

Which of the following is equivalent to the expression below?4x + 3(2x -1) - 4x

Group of answer choices

14x - 3

6x + 3

14x + 3

6x - 3

Answers

Answer:

6x - 3.

Step-by-step explanation:

4x + 3(2x -1) - 4x

= 4x + 6x - 3 - 4x

= 6x - 3.

Final answer:

The correct equivalent expression for 4x + 3(2x -1) - 4x is 6x - 3. This result is achieved by distributing, combining like terms, and simplifying.

Explanation:

The subject of this question is Mathematics, with the problem concerning simplifying expressions in algebra. To handle this problem, first expand the expression 4x + 3(2x -1) - 4x.

From this initial question, follow these steps:

  1. Distribute the 3 in the parenthesis to both the 2x and -1, yielding 3 * 2x and 3 * -1, which are 6x and -3, respectively.
  2. The expression now reads 4x + 6x -3 -4x.
  3. Add the like terms(4x, 6x, and -4x) together: 4x + 6x - 4x = 6x.
  4. The final equivalent expression is 6x - 3.

The correct choice from the given list is therefore 6x - 3, which implies that the equivalent expression for 4x + 3(2x -1) - 4x is 6x - 3.

Learn more about Simplifying Expressions here:

brainly.com/question/36385368

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Pls tell me least to greatest 4.5 and 3.9 and 4.258 and 3.75 and 4.256

Answers

3.75, 3.9, 4.256, 4.258, 4.5

So how do you find out? It is really easy.

First you look the the number, we all know 3 is less then 4 so the 3s go first

Then you look the tenths,  the choices are 3.75 and 3.9.  The tenth 9 and 7, and we all know 7 is less then 9, so 3.75 is the first one, then 3.9.

Now let's look at the 4s.  The choices are 4.5, 4.258, and 4.256.  The tenths are 5, 2, and 2.  2 is less then 5 so they go before 4.5.

Then we look at the hundredth, the choices are 4.256 and 4.258.  Since they have same hundreds, we look at the thousands.  They are 6 and 8.  6 is less then 8 so 4.256 go before 4.258.