The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +
Answers
Answer:
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Given :
Volume of rectangular prism
Base Area of a rectangular prism =
---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Step-by-step explanation:
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h
Divide both sides by (x³ + 3x²+8)
h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)
h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)
h=(x+1) - 4//(x³ + 3x²+8)
Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
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Related Questions
easy one - giving brainly if correct - show work.
Answers
Answer:
51,000
Step-by-step explanation:
50,000
20% raise is
50,000 + 50,000 * 20/100
= 50,000 + 10,000
= 60,000
15% tax is
60,000 * 15/100
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so total money is 60000 - 9000
= 51000
3/10y - 2/5 i need to find the coefficient and i dont know how
Answers
[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]
If you use front-end estimation, which is the best choice for 102.3 divided by 23.8?
o A. 3
o B. 4
o C. 5
o D. 6
Answers
Answer: Answer is B
Step-by-step explanation:
102.3 divided by 23.8 = 4.30 = 4
Simplify the following expression.
77.63 + 8.6
A.
78.49
B.
16.363
C.
163.63
D.
86.23
Answers
Answer:
D
Step-by-step explanation:
77.63
+08.60
=86.23
Remember to line up the decimals.
Hope this helps!
please help i dont understand this!
Answers
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Step-by-step explanation:
The top line is the payment amount.
The bottom line is the 2% fee.
Let's do the middle columns first.
For any payment amount, the fee is 2%.
To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.
2% as a decimal is 0.02
To find 2% of a number, multiply 0.02 by the number.
The second column has payment amount of $23.50
We need to find 2% of $23.50
2% of $23.50 = 0.02 × $23.50 = $0.47
The third column has payment amount of $64.00
We need to find 2% of $64.00
2% of $64.00 = 0.02 × $64.00 = $1.28
Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.
Let the amount be x.
The fee is 2% of x, so the fee is
0.02x
We set the expression equal to the actual fee and solve for x.
The first column has a fee of $0.25
0.02x = $0.25
x = $0.25/0.02
x = $12.50
The 4th column has a fee of $1.64
0.02x = $1.64
x = $1.64/0.02
x = $82
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answers
Answer:
24,880
Step-by-step explanation:
A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:
A= 11,000e(0.048x17) = 24,875.80
round and you get 24,880
i hope this helps
if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn
Answers
30 mins x 14=420 mins
420 mins in hours =7 hours
1) A butcher has an annual income of $58,612. The income tax the butcher has to pay is 7%. What is the amount of income tax in dollar and cents the butcher has to pay? A) $3,108.53 B) $3,712.66 C) $4,102.84 D) $4,364.79
Answers
Answer:
C. $4,102.84
The amount of income tax in dollars and cents the butcher has to pay if A butcher has an annual income of $58,612 is $4102.84 so, option C is correct.
What is the percentage?The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
A butcher has an annual income of $58,612,
The tax = 7%,
Calculate the amount of the tax as shown below,
The amount of the tax = 7% of $58,612
The amount of the tax = 7 / 100 × 58612
The amount of the tax = 0.07 × 58612
The amount of the tax = 4102.84
Thus, the amount of tax is $4102.84.
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Is -2g/4h a monomial number
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Yes, because it only has a single expression, although the division sign might not count….
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The answer must be standard
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Answer:
X+y over y
Step-by-step explanation:
X+y over y
Hope it helps
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Step-by-step explanation:
the scaling factor from 15 to 45 is 3.
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Answer:
Step-by-step explanation:
You're required to basically scale the figure down. Angles will remain the same, horizontal lines will remain horizontal, but lengths will be 1/3 of the original. In particular the length DC will be only 1 square, bringing C' only one to the right of D. The distance DB will also shrink from 6 to two squares, below D. Finally, the point A' will be on the line AD, on the horizontal containing B'.
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Answers
Answer:
m = -8/5
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Rise/Run
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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∘
Answers
Answer:
90 sidesStep-by-step explanation:
There is a relationship between number of sides and interior angle measure of regular polygons:
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Answer:
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
01.
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y=(2x+24)/3
02.
x+(6*2)=18
x=18-12
x=6
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Step-by-step explanation:
Find the lateral surface area and total surface area of each figure. Only 12 and 13
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Answers
Answer:
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Step-by-step explanation:
This forms a right triangle
use the pythagorean theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 20^2
a^2 + 36 = 400
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Rounded
19.1 feet
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answers
Answer:
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Step-by-step explanation: