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3 years ago

What is the volume of a shipping cube with dimensions of 2 and 1/2 feet

Mathematics

1 answer:

Fantom [35]3 years ago

6 0

For this case we have that by definition, the volume of a cube is given by:

$V = l ^ 3$

Where:

l: It's the side of the cube

According to the statement data:

$l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}$

Substituting in the formula we have:

$V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625$

Thus, the shipping cube volume is $15.625 \ ft ^ 3$

Answer:

$15.625 \ ft ^ 3$

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Two piecewise functions are shown below. What is the value of

gizmo_the_mogwai [7]

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

3 0

2 years ago

If it is now 5:00 AM, what time will it be in 1000 hours

VikaD [51]

Answer:

9:00pm

Step-by-step explanation:

If now is 5:00 am

After 1000hrs

24hrs makes a day

1000hrs = 1000/24 = 41 days remainder 16hrs

Therefore 5:00 + 16 hrs = 2100 hr

= 9:00pm

I hope this was helpful, please mark as brainliest

5 0

3 years ago

if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which

tresset_1 [31]

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

5 0

3 years ago

Please Help Best answer gets brainliest first answer gets five stars

Brrunno [24]

Hi,

(1/4)^−2−(5^0)(2)(1^−1)

=16−(5^0)(2)(1^−1)

=16−(1)(2)(1^−1)

=16−2(1^−1)

=16−(2)(1)

=16−2

=14

Have a great day!

4 0

3 years ago

Read 2 more answers

If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 8 times x plus 6 end quantity which of the follow

Sladkaya [172]

The value of the functions f(x) and g(x) will be √(4x + 3) and √2. Then the correct option is B.

<h3>What is a function?</h3>

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If (f g)(x) = h(x) such that h(x) = √(8x + 6). Then we have

(f g)(x) = h(x)

f(x) · g(x) = h(x)

Then put the value of h(x), then we have

f(x) · g(x) = √(8x + 6)

f(x) · g(x) = √2(4x + 3)

f(x) · g(x) = √(4x + 3) × √2

Thus, the value of the functions f(x) and g(x) will be √(4x + 3) and √2.

Then the correct option is B.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

4 0

1 year ago