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4 years ago

What is the value of this expression? (-2)5

Mathematics

1 answer:

Anon25 [30]4 years ago

3 0

Answer:

the answer is -10

Step-by-step explanation:

-2 × 5 = -10

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The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac

nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

$\displaystyle A=\frac{1}{2}\pi r^2$

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

$\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx$

Substitute:

$\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx$

Simplify:

$\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx$

Integrate:

$\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]$

Evaluate:

$\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3$

The volume of the solid is π/40 cubic units.

4 0

3 years ago

#8 i Find the LCM of 36 and 60 using prime factorizations. The LCM is

mel-nik [20]

LCM=2×2×3×3×5=180

Refer to the attachment

4 0

3 years ago

Read 2 more answers

Hey everyone! Please help! Choose 3 answers:

baherus [9]

Answer: C. 16 stars and 24 points

This is the only logical answer because the table keeps going up

8 0

4 years ago

On a scale drawing, a helicopter is 2.3 feet long. The scale on the drawing shows a ratio of 1 foot to 10 feet. What is the actu

andrey2020 [161]

Answer:

The actual length of the helicopter is 23 feet.

Step-by-step explanation:

Given:

On a scale drawing, a helicopter is 2.3 feet long.

The scale on the drawing shows a ratio of 1 foot to 10 feet.

Now, to find the actual length of the helicopter.

Let the actual length of helicopter be $x$ .

On scale drawing length of helicopter = 2.3 feet.

The scale on the drawing shows a ratio = 1:10.

Now, as ratios are given so by setting proportion we solve it:

$\frac{2.3}{x} =\frac{1}{10}$

By cross multiplying we get:

⇒ $2.3\times 10=x$

⇒ $23=x$

⇒ $x=23\ feet.$

Therefore, the actual length of the helicopter is 23 feet.

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4 years ago

1) A plane slices horizontally through a sphere dividing it into two hemispheres. Which term best describes the cross-section of

miv72 [106K]

Answer:

The answer is A.Circle

Step-by-step explanation:

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4 years ago