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3 years ago

Use the Distributive Property to rewrite the algebraic expression. 7(6m + 7)

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Step-by-step explanation:

first, distribute 7 to 6m (this means 7 • 6m)

7 • 6m = 42m

then distribute 7 to 7 (which is 7 • 7)

7 • 7 = 49

your simplified expression is 42m + 49. i hope this helps! have a great day <3

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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x

Irina18 [472]

For each x in the interval 0 ≤ x ≤ 5, the shell at that point has

• radius = 5 - x, which is the distance from x to x = 5

• height = x ² + 2

• thickness = dx

and hence contributes a volume of 2π (5 - x) (x ² + 2) dx.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

$\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}$

4 0

3 years ago

After sales tax, an $81 cell phone costs $84.24. What is the sales tax percentage?

Igoryamba

Answer:

4% sales tax

Step-by-step explanation:

Take the original costs and subtract it from the price after sales tax.

$84.24-$81= $3.24

Divide 3.24 by 81

this gives you .04, now either multiply by 100 or move the decimal two places to the right to convert the decimal to a percentage.

4 0

2 years ago

If f(x) = 2x – 6 and g(x) = x – 22, find each value.

Charra [1.4K]

Answer:

Step-by-step explanation:

I think you made a typo. g(x) should equal x - 2 not x - 22

g(x) = x - 2

g(-1) = -1 - 2

g(-1) = - 3

The answer is d. Otherwise there is no answer.

7 0

3 years ago

Find the measure of the indicated angle to the nearest degree

shutvik [7]

$\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}$

7 0

2 years ago

Compute the following radical. sq root 144

lara31 [8.8K]

we are given

$\sqrt{144}$

Firstly, we will find all possible factors of 144

$144=2\times 2\times 2\times 2\times 3\times 3$

we can also write as

$144=(2\times 2)^2\times (3)^2$

now, we can put exponent to over entire term

$144=(2\times 2\times 3)^2$

now, we can replace 144

$\sqrt{144}=\sqrt{(2\times 2\times 3)^2}$

now, sqrt will get cancelled with square

and we get

$\sqrt{144}=(2\times 2\times 3)$

now, we can simplify it

$\sqrt{144}=(4\times 3)$

$\sqrt{144}=12$ .............Answer

3 0

3 years ago