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3 years ago

Find the product. (23)(−98)(−45)(−1) Enter the correct product in the box.

Mathematics

1 answer:

torisob [31]3 years ago

4 0

Answer:

-101,430

Step-by-step explanation:

23 x 98 x 45 x 1 equals 101,430, but the real trick of the question is whether it is positive or negative.

23(-98) forms a negative number (-2,254)

-2254(-45) forms a positive number (101,430)

101,430(-1) forms a negative number (-101,430)

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Raspberries are hannas favorite fruit. She can only buy one pins for 2.55$ how many pounds of raspberries can Hannah but for $12

jeyben [28]

Answer:

She can buy 36

Step-by-step explanation:

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3 years ago

-3 +3(n+8)= 2(1 + 6n) - 8

lilavasa [31]

Answer:

3 =n

Step-by-step explanation:

-3 +3(n+8)= 2(1 + 6n) - 8

Distribute

-3 +3n +24 = 2 +12n -8

Combine like terms

21+3n = 12n -6

Subtract 3n from each side

21+3n-3n = 12n-3n -6

21 = 9n -6

Add 6 to each side

21+6 = 9n-6+6

27 = 9n

Divide each side by 9

27/9 = 9n/9

27/9 =n

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4 0

4 years ago

Read 2 more answers

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,

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

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3 years ago

Sarah built a table uding 6 pieces of wood that were each 3 3/4 wide. How wide was the table?

prisoha [69]

The table was 22.5 inches wide.

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4 years ago

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The answer to your question is 0.1

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3 years ago

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