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likoan [24]
3 years ago
9

A rectangler prism and a cylinder have the same height. the length of each side of the prism base is equal to the diameter of th

e cylinder. Which shape has a greater volume
Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer: The rectangular prism?

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A solid lies between planes perpendicular to the​ x-axis at x = -2 and x = 2. The​ cross-sections perpendicular to the​ x-axis b
icang [17]

Answer:

V = 128π/3 vu

Step-by-step explanation:

we have that: f(x)₁ = √(4 - x²);  f(x)₂ = -√(4 - x²)

knowing that the volume of a solid is  V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then

dV=π(√(4 - x²)+√(4 - x²))²dx;  =π(2√(4 - x²))²dx ⇒

dV= 4π(4-x²)dx , Integrating in both sides

∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve

4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also

∫dv=8π∫(4-x²)dx evaluated 0≤x≤2

V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒

V = 128π/3 vu

8 0
3 years ago
Use the quadratic formula to find both solutions to the quadratic equation given below. 2x^2+3x-5=0
Alisiya [41]

Answer:

x=1 and x= -2.5

Step-by-step explanation:

✯Hello✯

The quadratic formula is x=-b+-(sqrt)b^2-4ac/2a

A = 2

B= 3

C = -5

PLUG THESE VALUES INTO THE QUADRATIC FORMULA

we can see that x=1 and x= -2.5

❤Gianna❤

4 0
3 years ago
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i think its -3

hope its right and helpful

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Select all the numbers that show 1/2% as an equivalent fraction, decimal, or percent.
ipn [44]
0.5% is the answer hope this helps
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2 years ago
How is the graph of y = 8x2 − 1 different from the graph of y = 8x2?
BlackZzzverrR [31]

Answer:

since it's the lhs we are concerned about, i. e., Y axis, so it must be either up or down. now look at the question, it says 8x2 - (1), it means one lower value of y i. e., 1 unit down

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3 years ago
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