Answer:
12 inches
Step-by-step explanation:
Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length
is twice the width. The volume of the box is 3,456 in? What is the height of the box?
Volume of a Rectangular pyramid = Length × Width × Height
From the above question
Height = Width = x
Length = 2 × Width
Length = 2x
Volume = 3,456 cubic inches
Hence,
3,456 = 2x × x × x
3456 = 2x³
x³ = 3456/2
x³ = 1728
Cube root both sides
Cube root(x³) = cube root (1728 cubic Inches)
x = 12 inches
Therefore, the height is 12 inches
Answer:
E and D
Step-by-step explanation:
We can use two different ways to solve this equation:
Because the board is 25 off, we can multiply the price and subtract the result:
30 - 0.25(30) = 30 - 7.5 = $22.50
We can also solve by multiplying the total price by 0.75
(1 - 0.25)(30) = 0.75(30) = $22.50
The sales price is $22.50
Answer:
<h2>
</h2>
Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
<h3>
</h3>
We have
<h3>
</h3>
Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.
Step-by-step explanation:
A confidence interval has the following format.
In which 
is the mean of the sample and M is the margin of error.
In this problem, we have that:
The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.
