17)
x² + 8 = -8
x² = -8 - 8
x² = 16
x = ±√-16
x = ±√16i
x = <span>±4i
</span>
18)
x² + 5 = -3
x² = -3 - 5
x² = -8
x = ±√-8
x = ±√8i
x = ±2√2i
19)
x² + 3 = 0
x² = -3
x = ±√-3
x = <span>±</span>√3i
hope this helps, God bless!
Answer: the answer should be 875 cubic feet
Step-by-step explanation:
The why is because we have to divide each rectangular prism into different pieces to use the volume formula. Doing this gives us 5*15*5 for the first part, the second part will be 20*5*5, the third square is 5*5*5.
Answer:
Number of plain cookie boxes sold = 785 boxes
Step-by-step explanation:
Given: Cost of a chocolate chip cookie box = $1.25
Cost of a plain cookie box = $0.75
Total number of boxes sold = 1585
Total cost of the sold boxes = $1588.75
Let, number of plain cookie boxes sold = x
Number of chocolate chip cookie boxes sold = 1585 - x
So,
Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes
$1588.75 = x ($0.75) + (1585 - x) ($1.25)
1588.75 = 0.75 x + 1981.25 - 1.25 x
0.5 x = 392.5
Therefore,
<u>Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes</u>
Given:
μ = 70, the mean
σ = 10, the standard deviation
The random variable is x = 65.
Calculate the z-score.
z = (x - μ)/σ = (65 -70)/10 = - 0.5
From standard ables, obtain
P(x<5) = 0.3085 ≈ 30%
The score of 65 is in the 30th percentile.
Answer: 30th
Alternate exterior angles because the are OUTSIDE of the parallel lines
