Which of the following is a composite number?
1 answer:
You might be interested in
Answer:
He spent around $ 52.17 in each month.
Step-by-step explanation:
Last year the power bill price = $ 626.14 ≈ $ 626
We know that in a year 12 months. so power bill of each month in last year is calculated as follows
$ 52.17
Therefore he spent around $ 52.17 in each month.
Answer:
V (max) = 2 ft³
and x side of the base is x = 0,5 feet
Step-by-step explanation: See annex ( two different cubes)
We have a square piece of cardboard of 3 inches wide
Let x be lenght of side to cut in each corner
Then the base of the (future cube) is 3 - 2x, and the area is
( 3 - 2x )²
And the height is x Then volume of the cube as a function of x is:
V(x) = ( 3 - 2x )² *x or V(x) = ( 9 + 4x² - 12x )*x
V(x) = 4x³ - 12x² + 9x
Taking derivatives on both sides of the equation
V´(x) = 12x² - 24x + 9
V´(x) = 0 12x² - 24x + 9 = 0 simplifying 4x² - 8x + 3 = 0
Second degree equation solving for x
x₁,₂ = [ 24 ± √( 576) - 432 /24
x₁,₂ = [24 ±√144 ]/24
x₁,₂ = ( 24 ± 12) /24 x₁ = 1.5 feet x₂ = 0,5 feet
Of these two values we have to dismiss x₁ because if x = 1.5 we don´t have a cube ( 0 height )
Then we take x = 0,5 feet
And
V (max) = (2)²*0,5 = 4*0,5
V (max) = 2 ft³
<span><span>The first step is to find the vertex. You do this by using the formula </span>
.
<span>
Plug in b and a into the equation: </span>
<span>
You get </span>
<span>
So, it takes 5.5 seconds to get to 504 feet
</span><span>
</span></span>
<span>
Plug in b and a into the equation: </span>
<span>
You get </span>
So, it takes 5.5 seconds to get to 504 feet
</span><span>
</span></span>