For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula
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<h3>What is number series?</h3>
When the numbers are arranged in a series with some logic then it is called as the number series.
here we have a series:

The sum of the series will be given as:


Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula 
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Answer:
Let's use the formula for the volume of a rectangular prism;
V = l · w · h
Where 'l' represents the length, 'w' stands for the width, and 'h' displays as the height. (V evidently stands for the volume)
<u>What we know:</u>
- Volume = 240 ft
- Length = 4 ft
<u>What we need to find out:</u>
Let's plug in what we know into the formula:
V = l · w · h
<u>240</u> = <u>4</u> · <u>4</u> · h
Now let's solve for h:-
240 = 16 · h
240 = 16h
Get rid of h's co-efficient by dividing 16 from both sides because the inverse operation of multiplication(since 16 is being multiplied by h) is division.
÷16 ÷16
Finally, you would end up with a result of:
<u>15</u> = h
Hence, the height of this prism is <u>15 feet</u>.
Answer:
Aight
Step-by-step explanation:
Answer:
Dimensions of cabinet
x (wide) = 1.93 ft
y (hight) = 2.895 ft
p (depth) =0.43 ft
Step-by-step explanation:
Dimensions of cabinet
y height
x wide
p deph
From problem statement
y = 1.5 x V = y * x * p V = 1.5*x²p but p = V/y*x p = 2.4/1.5 x²
p = 1.6 / x²
Then
Area of top and bottom A₁ = 2*x*p ⇒ 2*x*1.6/x²
A₁ = 3.2 /x
And cost in $ C₁ = 0,9 * 3.2 /x ⇒ C₁ = 2.88/x
Area of sides (front and rear not included)
A₂ = 2*y *p A₂ = 3*x*1.6/x² A₂ = 4.8/x
And cost in $ C₂ = 0.9 * 4.8 /x C₂ = 4.32 /x
Area of front and rear A₃ =2* y*x A₃ = 2*1.5 *x² A₃ = 3x²
And cost C₃ = 0.3 * 3/x² = 0.9/x²
Total cost C(x) = C₁ + C₂ + C₃ C(x) = 2.88/x + 4.32/x + 0.9x²
Taking derivatives
C´(x) = -2.88/x² - 4.32 /x² + 0.9 x
C´(x) = 0 -2.88/x² - 4.32/x² + 0.9 x = 0 -2.88 - 4.32 + 0.9 x³ = 0
-7.2 + x³ = 0 x³ = 7.2
x = 1.93 ft y = 1.5*1.93 = 2.895 ft and p = 0.43 ft
Answer:
p= 10m+43 I hope this help let me know if it is right