I'll help you with #7, and hopefully then you will be able to do #8 on your own. the formula for the volume of a pyramid and cone is the area of the base times the height of the figure divided by three. knowing this, we must first find the area of the base. since it is a square, we need to multiply the length times the width. (6 • 6 = 36) then you multiply that times the height of the figure (36 • 4 = 144) finally, we need to divide that by three (144 divide by three is 48.) so the answer is b. hope this helped :$
Answer: B
Step-by-step
<2 with the underline that mean that it can go up or down q
the <2t it goes up and -4 it goes down
remember that negative it goes down the line the positive it goes up
Three unknowns requires three equations to solve . . .
1) n + d + q = 30
2) d = 2n
3) (0.05)n + (0.10)d + (0.25)q = 5.50
* plug 2) into 1) and solve for q
n + 2n + q = 30
3n + q = 30
q = 30 - 3n
* now we have variables d and q expressed in terms of n, so we plug those equations into 3) and solve for n . . .
0.05n + 0.10(2n) + 0.25(30 - 3n) = 5.50
0.05n + 0.20n + 7.50 - 0.75n = 5.50
(0.05 + 0.20 - 0.75)n + 7.50 = 5.50
-0.50n + 7.50 = 5.50
-0.50n = 5.50 - 7.50
-0.50n = -2.00
n = -2.00/-0.50 = 4
d = 2n = 2(4) = 8
q = 30 - 3n = 30 - 3(4) = 30 - 12 = 18
The answer is . . .
n = 4 nickels
d = 8 dimes
q = 18 quarters
. . . for a total of (4 + 8 + 18) = 30 coins
. . . 8 dimes is twice 4 nickels
. . . $0.05(4) + $0.10(8) + $0.25(18) = $5.50
The mean = (3+1+2+2+2) / 5 = 10/5 = 2
subtract mean from each of the values
gives 1 -1 0 0 0
MAD = (1^1 + (-1)^2) / 5 = 2/5 = 0.4
A is the correct choice.
Answer:
y = -1/2x^2 -5x -45/2
Step-by-step explanation:
Multiply it out and collect terms.
y = -1/2(x^2 +10x +25) -10 . . . . . expand the square
y = -1/2x^2 -5x -25/2 -20/2 . . . eliminate parentheses
y = -1/2x^2 -5x -45/2 . . . . . . . . collect terms
