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Korolek [52]
3 years ago
12

What is the output of the function f(p) = 3p – 2 when the input is 2? A. 0 B. 2 C. 4 D. 6 E. 8

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0

Step-by-step explanation:

<u>Step 1:  Find f(2)</u>

f(p) = 3p - 2

f(2) = 3(2) - 2

f(2) = 6 - 2

f(2) = 4

Answer:  Option C, 4

EastWind [94]3 years ago
4 0

Answer:

C. 4

Step-by-step explanation:

f(p) = 3p - 2

Is a function with:

Input: p

Output: 3p - 2

p = 2

f(2) = 3(2) - 2 = 6 - 2 = 4

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Find the volume of the solid that lies inside both the cylinder x 2 y 2 = 1 and the sphere x 2 y 2 z 2 = 16
IrinaVladis [17]

The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16 is 24.74 cubic units.

<h3>What is the volume of the solid?</h3>

Find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16

From the sphere and cylinder, the cylindrical coordinate will be

z = \pm \sqrt{16 - r^2}

And the radius of the cylinder is |r| < 1 and the 0 ≤ θ ≤ 2π.

Then the volume will be given as

\rm V = \int _0^{2\pi} \int _0^1 \int _{- \sqrt{16 - r^2}}^{\sqrt{16-r^2}} \left ( r \ dz \ dr \ d\theta  \right ) \\\\\\V = 2\pi \int_0^1 \left ( 2r\sqrt{16-r^2} \right ) \ dr\\\\\\V = 4\pi \left [ -\dfrac{1}{3} (16 - r^2)^{3/2} \right ]\\\\\\V = \dfrac{4\pi}{3} \left ( 16^{3/2} - 15^{3/2} \right )\\\\\\V = 24.74

More about the volume of the solid link is given below.

brainly.com/question/23705404

#SPJ4

7 0
2 years ago
Are the graphs of 2x+7y=6 and 7y = 2x +6 parallel? Explain.
avanturin [10]
With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.

with this problem, find the slope by separating the same variable in each equations, like this:

2x + 7y = 6
-2x            -2x

7y = -2x + 6

(the second equation is already separated) so now we have

7y = -2x + 6 and 7y = 2x + 6

since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!
7 0
3 years ago
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18x the smaller orignal
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5 0
3 years ago
Read 2 more answers
△ABC∼ΔEFG .<br><br> Given m∠B=48° and m∠G=61° , what is m∠A ?
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48+61=109
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3 years ago
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