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2 years ago

14

Gwen and $660 per week and has 18% of this amount withheld for taxes Social Security and Medicare find amount withheld

1 answer:

AleksandrR [38]2 years ago

6 0

660 * 0.18 = $118.80 withheld

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Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x =

lord [1]

Using washers, the volume is given by

$\displaystyle\pi\int_{x=1}^{x=e}((1+3)^2-(\ln x+3)^2)\,\mathrm dx$
$=\displaystyle\pi\int_{x=1}^{x=e}(7-6\ln x-(\ln x)^2)\,\mathrm dx$

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3 years ago

What forms of measurement of length, width, height, and distance are forms of what measurement?

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The length, width, and height In the most common contexts in elementary school, mathematics does not have a formal definition for these terms, nor does it have rules about "proper" use.

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3 years ago

a circular stained glass window frame with a diameter 20 inches is divided into 8 congruent find the area of 3 of the 8 panes of

ahrayia [7]

Answer:

it would be 45

Step-by-step explanation:

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3 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

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4 years ago

In the following system of equations, determine whether the system has a unique

Rina8888 [55]

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

$ax + by = c$

Solve it for y to put it into the slope-intercept form:

$by = -ax + c$

$y = -\dfrac{a}{b}x + \dfrac{c}{b}$

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

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3 years ago