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2 years ago

What is the remainder when x^3 – 1 is divided by (x + 2)?

Mathematics

1 answer:

arlik [135]2 years ago

6 0

We can just use the remainder theorem here.

Plug the value of -2 into each x variable.

(-2)^3 - 1

-9

<h3>The remainder is -9.</h3>

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Find the missing lengths. leave your answers as radicals in simplest form

LiRa [457]

Check the picture below.

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2 years ago

Which of these is equivalent to 33+77

DENIUS [597]

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A certain kind of animal weighs about 75 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine tho

Elodia [21]

<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...

... w = 75 +2d

We want to find d when w > 125.

... 75 +2d > 125 . . . . . substitute the above expression for w

... 2d > 50 . . . . . . . . . subtract 75

... d > 25 . . . . . . . . . . . divide by 2

The animal will weigh more than 125 pounds when it is more than 25 days old.

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3 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

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1 year ago

Can someone convert 5cm to milimeter?

zhenek [66]

Answer: 50 millimeters

Step-by-step explanation:

5 cm is one 100th of a meter. Millimeters are one 1000th. Therefore, 1 of each unit in cm is 10 units in mm

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2 years ago

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