Prism volume = width*length*height
56 1/4 = 3 3/4 * 7 1/2 * h
56.25=3.75*7.5*h
h=(56.25)/(3.75*7.5)=2
So that the missing dimension (height) is 2 ft
1.) The interval of the value of x is from -5 to 1, inclusive. Remember that what is asked is the absolute value, thus the sign does not matter even if you have to subtract x from 5. Thus, the maximum value would be obtained if the x is smaller, which is 1. The minimum value is obtained when x=-5.
Absolute maximum value:
x = - 5f(-5) = ║5 - 7(-5)^2║ = ║-170║=
170Absolute minimum value:
x = 1f(1) = ║5 - 7(1)^2║ = ║-2║=
2
2.) The Mean Value Theorem (MVT) applies to functions that are continuous and differentiable on the closed and open interval of a to b, respectively. Since the function is a quadratic function, MVT can be applied. Then, this means that there is a value of c which is between a and b. This could be determined using this formula according to MVT:
The differentiated form would be f'(x) = -2x. Then,
Thus, x = -1, x = -1/2, and x=0 all lie in the function 4-x^2.
Answer:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation:
<span>First, you need to take the 15% off from the $120 so it will make it easier for you to calculate later. Since there is 15% off, your $120 becomes only $102. Since your keyboards only costs $102 each now, you just have to multiply the number of keyboards you wanted to the less price. $102 multiplied by 24 keyboards is equals to $2,448. We don’t have to add taxes because it is stated that we are just looking for SUBTOTAL before taxes. The answer is A. $2,448. <span>
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