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3 years ago

Factor the expression 10x+15y=

1 answer:

8 0

5(2x+3y) is the most it can be factored. You first have to find the greatest common factor and once thats done just try using methods such as the diamond. The only thing it was able to do using the methods was this.

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Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
$=\dfrac{2\times7^3}3=\dfrac{686}3$

4 0

3 years ago

If there are 19 questions and each question has 4 answers, what is the probability she will answer at least one question correct

gregori [183]

Answer:

0.9958

Step-by-step explanation:

P(being correct) = 1/4 = 0.25

Hence, p = 0.25

n = 19

P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

However, to save computation time, we could use a calculator :

Using a calculator,

P(x ≥ 1) = 0.99577

P(x ≥ 1) = 0.9958

7 0

3 years ago

Golf balls come in a variety of packages. A particular brand of golf balls come in packages of 12 or in packages of 18. The 12-p

Fantom [35]

Answer:

The better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

Step-by-step explanation:

To find which is the better deal, you have to determine which one offers a lower unit price by dividing the price of each package by the number of balls in the pack:

$4.47/12=$0.37

$14.46/18=$0.80

According to this, the answer is that the better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

8 0

3 years ago

A person owned 300 shares of MNO common stock, which cost $23,400. MNO then had a 3-for-1 stock split. After the split, the pers

lutik1710 [3]

A 3-for-1 stock split means that the number of shares is multiplied by 3,
and becomes 900 shares.
Cost of one share before split: $\frac{23,400}{300}=\$78$
Cost of one share after split: $\frac{23,400}{900}=\$26$
Cost of 100 shares before split: $78\times100=7800$
Cost of 100 shares after split: $26\times100=2600$
The above sale result in loss of: $7800-2600=\$5200$

8 0

4 years ago

Find the area please

STatiana [176]

The correct should 356 yards^2
to solve this you simply add the are of the two squares after you calculate the area for each of them.

8 0

3 years ago