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3 years ago

Robert earned $10, which was 4 less than twice what Eric earned. How much money did Eric earn?

Mathematics

1 answer:

cestrela7 [59]3 years ago

4 0

Answer:

Step-by-step explanation:

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3 years ago

Find f(-2) when f(t) = -2t + 3 A) -7 B) -1 C) 1 D) 7

Lady bird [3.3K]

Answer: -1

Step-by-step explanation:

f(t) = -2t + 3

f(-2) = -2 x -2 + 3 [ substituting the value]

f(-2) = -4 + 3

f(-2) = -1

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3 years ago

If you know that the exact volume of a cylinder is 500 π cm3, how can you find the approximate volume, without knowing the heigh

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3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago

What is the product? (-3s+20)(4-1)

vlabodo [156]

Answer:

−9s+60 is the answer

Step-by-step explanation:

If brainiest is earned its Greatly Appreciated

(-3s+20)(4-1) do whats in ( )'s

(-3s+20)3 distribute 3

-9s+60 is the answer

4 0

3 years ago

Read 2 more answers