Hi there!
<u>Here is the step by step explanation into solving this :</u>
4 × (2² + 5)² ÷ 3 - 1
Start by solving the inside of the parentheses
2² = 2 × 2 = 4
4 + 5 = 9
Distribute the "²" to the whole parentheses
9² = 9 × 9 = 81
4 × 81 ÷ 3 - 1
Do the multiplication, then the division and lastly the subtraction
4 × 81 = 324
324 ÷ 3 = 108
108 - 1 = 107
The answer is : 107
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
1. -3 - 7x 2. - 13x
Step-by-step explanation:
1.
x+5-8x-8
-3 - 7x
2.
6y-6x-7x-6y
-13x
Answer:
the answer will be x^3 + 2x^2 + 9x
Step-by-step explanation:
as :
volume = l* w* h
= X * (X + 2) * (X + 3)
= X ^ 2 + 2 X (X + 3)
= x ^2 (X + 3) + 2x (X + 3)
= x^3 + 3x +2x ^2 + 6x
= x^3 + 2x^2 + 9x
Answer:
C. 60 sq. units
Step-by-step explanation:
15 times 8 is 120.
120 divided by 2 is 60.
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
