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3 years ago

The volume of a cube depends on the length of its sides. This can be written

Mathematics

1 answer:

White raven [17]3 years ago

8 0

Answer:

Step-by-step explanation:

The given question is that the volume of a cube depends on the length of its sides.This can be written in function notation as v(s). What is the best interpretation of v(3)=27.

Solution:

According to the question the volume of a cube depends on the length of its sides. According to the statement we will apply the formula of volume of a cube.

V(s)=s³

In this question we have given s=3ft.

So, we will put the value of 's' in the formula.

V(s)=s³

V(3)=3³

Multiply 3 three times to get the answer.

V(3)=3*3*3

V(3)=27 ft³

This means that the cube has a volume of 27ft³ with the length of its sides 3ft....

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At 10:57 A.M. A submarine was at a depth of feet. Its depth then changed at a rate of -8 feet per minute. What was its depth at

Tatiana [17]

Answer:

Step-by-step explanation:

First we need to get the total minutes used by the submarine from 10:57 A.M to 11:03 A.M. The total minutes used within the specified period of time is 6 minutes.

If its depth then changed at a rate of 8 feet per minute, the submarine depth after 6 minutes will be expressed as shown;

8 feet = 1minute

x feet = 6 minutes

cross multiply;

x * 1 = 8 * 6

x = 48 feet

Hence the submarine depth at 11.03AM is 48 feet

4 0

3 years ago

54% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

Liula [17]

Answer:

$P(5)=0.238$

$P(x\geq 6)=0.478$

$P(x$

Step-by-step explanation:

In this case we can calculate the probability using the binomial probability formula

$P(X=x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}$

Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.

(a) exactly five

This is:

$x=5,\ n=10,\ p=0.54.$

So:

$P(X=5)=\frac{10!}{5!(10-5)!}*0.54^x*(1-0.54)^{10-5}$

$P(5)=0.238$

(b) at least six

This is: $x\geq 6,\ n=10,\ p=0.54.$

$P(x\geq 6)=P(6) + P(7)+P(8)+P(9) + P(10)$

$P(x\geq 6)=0.478$

(c) less than four

This is: $x< 4,\ n=10,\ p=0.54.$

$P(x$

8 0

3 years ago

Read 2 more answers

Are 22/32 equivalent to 11/16

Allisa [31]

Answer:

Yes!

Step-by-step explanation:

22/32 divided by 2 equals 11/16, meaning they are equivalent.

7 0

2 years ago

Whats the lcd of 1/7,14/17,12/13,5/6

gizmo_the_mogwai [7]

LCD (1/7, 14/7, 12/13, 5/6)

LCM = (7, 7, 13, 6)

= 2 * 3 * 7 * 13

= 546

1/7 = 78/546

14/7 = 1092/546

12/13 = 504/546

5/6 = 455/546

Calculation:

1/7 + 14/7

= 1 + 14/7

= 15/7

The common denominator you can calculate as the least common multiple of the both denominators: LCM (7, 7) = 7

Add:

15/7 + 12/13

= 15 . 13/7. 13 + 12 . 7/13 . 7

= 195/91 + 84/91

= 195 + 84/91

= 279/91

The common denominator you can calculate as the least common multiple of the both denominators: LCM (7, 13) = 91

Add:

279/91 + 5/6

= 279 . 6/91 . 6 + 5 . 91/6. 91

= 1674/546 + 455/546

= 1674 + 455/546

= 2129/546

The common denominator you can calculate as the least common multiple of the both denominators: LCM (91, 6) = 546

Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).

Hope that helps!!!!!!

3 0

3 years ago

Vector u has its initial point at (21,12) and its terminal point at (19,-8). Vector v has a direction opposite that of u, whose

agasfer [191]

Step-by-step explanation:

517÷4685568π√7%+66×74367

7 0

3 years ago