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3 years ago

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The diameter d of a sphere is twice the radius r. The volume of the sphere as a function of its radius is given by v(r)= 4/3(3.4

)(r)^3 A) write the diameter d of the sphere as a function of the radius r

1 answer:

Goryan [66]3 years ago

5 0

Answer:

A) d = 2r

Step-by-step explanation:

A) The first sentence in the problem statement tells you the diameter is twice the radius:

d = 2r

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A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet.

xz_007 [3.2K]

Answer:

1,000 ft³

Step-by-step explanation:

The volume is given by ...

V = Bh

where B is the area of the base, and h is the height. For the given dimensions, the volume is ...

V = (200 ft²)(5 ft) = 1000 ft³

3 0

2 years ago

2:x and 12:18 a-3, b-4, c-6

nirvana33 [79]

The Corrected Problem is :

2:x and 12:18 identify the value of x that makes each pair of ratios equivalent .

Solution:

If a pair of Ratios are equivalent then we can write

$\frac{2}{x}=\frac{12}{18}\\ \\ \text{Simplify we get}\\ \\ 12x=36\\ \\ \text{Divide both the sides by 12 we get}\ \\ \\ \frac{12x}{12}=\frac{36}{12}\\ \\ x=3\\ \\ \text{Hence the required value of x is 3}\\$

3 0

3 years ago

Read 2 more answers

Which describes the relationship between 15,700 and 157,000? A 15,700 is 1/10 of 157,000 B 157,000 is 1/10 of 15,700 C 15,700 is

viva [34]

Answer: 15,700 is 1/10 of 157,000 (A)

Step-by-step explanation:

The relationship between 15,700 and 157,000 is that 15,700 is 1/10 of 157,000

1/10 × 157,000 = 15,700

A 15,700 is 1/10 of 157,000

= 1/10 × 157,000

= 15700 (Correct)

15700 equals 15700

B 157,000 is 1/10 of 15,700

= 1/10 × 15700 = 1570 (Wrong)

1570 is not equal to 157000

C 15,700 is 1/100 of 157,000

= 1/100 × 157,000 = 1570 (Wrong)

1570 is not equal to 15700

D 157,000 is 1/100 of 15,700

1/100 × 15700 = 157 (Wrong)

157 is not equal to 157000

5 0

3 years ago

Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $

just olya [345]

Answer:

2.69≤x≤17.31

Step-by-step explanation:

Lety the amount in the other Piggy bank be x.

The difference in the amount of money between the two banks is no more than $10 is expressed as;

|x-7.31| ≤ 10

The value in the modulus sign can be positive or negative

If positive;

x-7.31 ≤ 10

x ≤ 10+7.31

x≤17.31

If negative

-(x-7.31) ≤ 10

-x+7.31 ≤ 10

-x ≤ 10-7.31

-x ≤ 2.69

Multiply both sides by -1

x ≥ -2.69

The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31

4 0

3 years ago

The sum of two consecutive even integers is 18. Write an equation to find the integers.

sdas [7]

Answer: 8 and 10 Step-by-step explanation: Consecutive means right beside. For example, the consecutive of 4 is 5 and 3. Since it's asking for EVEN integers, you need to add 2 to the x... for example, the nearest consecutive even number to 4 is 6 (you add 2). Then, solve like normal!

7 0

3 years ago