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3 years ago

(Im giving brainliest and extra points on this one :D)

Mathematics

2 answers:

Studentka2010 [4]3 years ago

5 0

Answer:

Step-by-step explanation:

Convert to improper fraction and multiply them, then convert back to mixed fraction :)

garik1379 [7]3 years ago

4 0

Answer:

C . The answer can be simplified but its not on here for some reason.

Step-by-step explanation:

6 2/6 x 1 1/2

(6 x 6) + 2 = 38/6

(1 x 2) + 1 = 3/2

38/6 x 3/2 = 114/12

114 ÷ 12 = 9 6/12.

9 6/12 = 9 3/6 = 9 1/2.

Again it can be simplified buts it not on here for some reason.

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Find all real solutions of the polynomial equation. (enter your answers as a comma-separated list.) z^4 + z^3 + z^2 + 3z − 6 = 0

viva [34]

I can't figure out a factor for this but graphing it shows x = -2 and +1 as real roots.

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4 years ago

Text me the answer please

svetoff [14.1K]

P(4)= 1/8

This is because there are 8 equal parts and 4 is just one of those 8 parts.

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3 years ago

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A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u

OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

$\displaystyle\frac{8000\pi\sqrt{2}}{3}$

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

$x^2+y^2=15^2\to y=\sqrt{225-x^2}$

Then we set the integral for the volume by using shell method:

$\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx$

That can be solved by substitution:

$u=225-x^2\to du=-2xdx$

The limits of integration also change:

For x=5: $u=225-5^2=200$

For x=15: $u=225-15^2=0$

So the integral becomes:

$\displaystyle -\int_{200}^{0}\pi \sqrt{u}du$

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

$\displaystyle \int_{0}^{200}\pi u^{1/2}du$

Then applying the basic rule we get:

$\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}$

Since that is just half of the solid, we multiply by 2 to get the complete volume:

$\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}$

$=\displaystyle\frac{8000\pi\sqrt{2}}{3}$

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4 years ago

20. Jane and Richard each painted about 1/5

Tatiana [17]

Answer:

I can't draw a picture but its possible cuz they painted ABOUT 1/5 of the bird house so Jane could have painted a bit more than 1/5 but it would still be about 1/5

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3 years ago

Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are ?1.49 each. The loose sweets are ?0.89 for 100g. By calcula

tester [92]

Answer:

The loose sweets at ?0.89 for 100 g.

Step-by-step explanation:

First, calculate the price per gram. You do this by dividing the price by the grams.

?1.49 / 120 g = 1.49 / 120 = 0.0124 (4 dp)

Because the answer was very long, I have rounded it to 4 decimal places (4 dp).

?0.89 / 100 g = 0.89 / 100 = 0.0089

Next, you must calculate both pre-packed and loose sweets to the same weight. I am calculating them both to 100 g.

0.0124 x 100 = 1.24

0.0089 x 100 = 0.89

Finally, the cheapest product for 100 g will be the better value. In this case, it is the loose sweets.

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3 years ago