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3 years ago

Mark and his brother signed up for the Catch Up

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

Answer:350

Step-by-step explanation:

i did the same question

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Question #2:

cluponka [151]

Answer:

$\$17.59\ per\ hour$

Step-by-step explanation:

we know that

The Susan's hourly wage, must be equal at least to the sum of her monthly household expenses divided by the number of hours worked at month

Remember that

$1\ year=52\ weeks\\1\ year=12\ months$

She works 40 hours per week

$40(52)=2,080\ hours\ per\ year$

$2,080/12=\frac{520}{3}\ hours\ per\ month$

<em>Find out the monthly household expenses</em>

Sum all the expenses

Rent+ Monthly Bills+Entertainment and Food+Savings

substitute the values

$\$875+\$1,276+\$648+\$250=\$3,049$

Find out the hourly wage

$\$3,049:\frac{520}{3}\ hours=\$17.59\ per\ hour$

3 0

3 years ago

The scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft

NNADVOKAT [17]

Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

8 0

3 years ago

Find the following integral

ololo11 [35]

There's nothing preventing us from computing one integral at a time:

$\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2$

$\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2$

$\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx$

Expand the integrand completely:

$x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x$

Then

$\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}$