Pam Everett earned gross wages of $378. Pam's deductions were: $28 in federal withholding taxes, 6.2% in Social Security taxes, 1.45% in Medicare taxes, $20.4 in health insurance, and $28 in union dues. Find the total deductions from Pam's gross pay.

Answer:

a = -√3/3

b = 2√3/3

Step-by-step explanation:

Finding the slope of the tangent at C  by finding the derivative:

x^2 + y^2 = 1

2x + 2y y' = 0

2y y' = -2x

y' = -2x / 2y = -x/y

So the slope = - 1/2 / √3/2

= -1/2 * 2/√3

= -1/√3

= -√3/3

Using the point-slope form of a straight line

y - y1 = m(x - x1)

y - √3/2 = -√3/3(x - 1/2)

y - √3/2 =  -√3/3 x +√3/6

y =  -√3/3 x + √3/6 +√3/2

y =  -√3/3 x + 4√3/6

y = -√3/3x +  2√3/3

Answer:

$10.90

Step-by-step explanation:

Turn your 20% tip into a decimal (0.20) and multiply that by the overall check. $54.50 x 0.20 = $10.90

Answer:

Friday

Step-by-step explanation:

Both lines have the same slope of 1

The unknown line is y=x+8

Look at the photo for the graph

Answer:

has infinite solution

Step-by-step explanation:

(x,y)=(1-2a,a) where a is an element of any real number

Answer:

4x + (-5) + (6)

4x + 1

hope that helps

Answer:

21

Step-by-step explanation:

7x3=21

21x1=21

EASY

Answer:

This is a function because it passes the vertical line test

Step-by-step explanation:

Check the picture below.

[tex]sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0[/tex]

Answer:

The value of x is D. 37°

Step-by-step explanation:

No need for math on this one, the angle next to x is 71° and is significantly bigger, so the only answer could be 37°.

The value of x will be 37°.

What is Vertically opposite angles?

Vertically Opposite Angles are the angles opposite each other when two lines cross.

Given that;

This figure has two intersecting lines and a ray.

Now, By the definition of vertically opposite angles, we get;

x° + 71° = 108°

Then, Solve for x as;

x° + 71° = 108°

Subtract 71 both side;

x° + 71° - 71° = 108° - 71°

x° = 37°

Thus, The value of x will be 37°.

Learn more about the vertically opposite angles visit:

https://brainly.com/question/1673457

#SPJ2

Answer:

three thousand three hundred and fifty.3,350

Step-by-step explanation:

the question given was:1/4 take a speech, so how many?: one fourth, if you divide 13,400 by 4 its 3,350. that is one fourth  of 13,400. So, if you add 3,350 four times, it would be 13,400.

Hope this helped!<3

Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:

[tex]4.704 \times 10^{10}[/tex]

A proportion is a fraction of a total amount.

In the first year, the company produced [tex]8.4 \times 10^9[/tex] reams, and in the second year, 5.6 times that, that is, we multiply the amount by 5.6, hence:

[tex]5.6 \times 8.4 \times 10^9 = 47.04 \times 10^9 = 4.704 \times 10^{10}[/tex]

Which is the desired expression.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Step-by-step explanation:

PLATO

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Answer:

-5(2a+5)

Step-by-step explanation:

Just divide all the numbers by -5, slap a parentheses on and your done.

Answer: 256

Step-by-step explanation: The triangle needs to be multiplied 6x4 then 4 again for the sides of the triangle and divided by two. As for the rectangle you multiply the front which is 48 and the front is the back so 48+48 then the fours which are the bottom that then equals 16 do not use that for the top the top does not count because that is what the shapes are connected by then finally 48 for the top and bottom then add 48+48+48+48+16 to get your answer.

Answer:

11253.76

Step-by-step explanation:

GIven Information;

Height = 14 yd

Diameter = 32 yd

Note;

Radius = d/2

Since Radius = d[Diameter] /2 then 32/2 = 16 yd

Solve;

Volume of cylinder formula;

= [tex]\pi r^2h[/tex]

Using = 3.14

[tex](3.14) (16^2)(14)[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:14=43.96[/tex]

[tex]=16^2\cdot \:43.96[/tex]

[tex]=256\cdot \:43.96[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:43.96\cdot \:256=11253.76[/tex]

[tex]=11253.76[/tex]

[RevyBreeze]

Answer:

[tex]\huge\boxed{\sf 11253.76\ yd^3}[/tex]

Step-by-step explanation:

Height = h = 14 yd

Diameter = d = 32 yd

Radius = d/2 = 32/2 = 16 yd

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(16)^2(14)\\\\= (3.14)(256)(14)\\\\= 11253.76\ yd^3\\\\\rule[225]{225}{2}[/tex]

Answer:

The answer is 12 remainder 6 but if it is a decimal form question it is 12.6

Answer:

the answer s 12$

Step-by-step explanation:

because if you do 504 divided by 42 you get 12 and if you do it backwards

42x12 you will get 504

Answer:

c

Step-by-step explanation:

a = 48 coins   4 x 6 = 24    3 x 8 = 24     24 + 24 = 48

b = 52 coins   2 x 6 = 12     5 x 8 = 40     40 + 12 = 52

c = 50 coins   3 x 6 =18      4 x 8 = 32      32 + 18 = 50   correct

d = 46 coins   5 x 6 = 30    2 x 8 = 16       30 + 16 = 46

Answer:

6250000

Step-by-step explanation:

Answer:6250000

Step-by-step explanation:

Answer:

true

Step-by-step explanation: You are multiplying all numbers (ab)*c is basically a*b*c and a(cb) is basically a*b*c. [gimme 5-star :)]

Option D is graph .

Graph of all 4 functions attached

Answer:

[tex]y=\sqrt[3]{x+3}+3[/tex]

Step-by-step explanation:

From inspection, we can see that the base graph is [tex]y=\sqrt[3]{x}[/tex]

(As the graph of [tex]y=\sqrt{x}[/tex] is only valid for x ≥ 0 ⇒ y ≥ 0)

The center of [tex]y=\sqrt[3]{x}[/tex] goes through the origin (0, 0)

From inspection, we can see that the center of the curve is now at (-3, 3)

So the graphed function has been shifted 3 units left:

[tex]\implies y=\sqrt[3]{x+3}[/tex]

and shifted 3 units up:

[tex]\implies y=\sqrt[3]{x+3}+3[/tex]

Answer:

Step-by-step explanation:

( x + 25 )° + ( 5x + 10 )° = ( 15x - 10 )°

6x + 35 = 15x - 10

9x = 45

x = 5

Flow is given as, F = - 4 gallon per minute into small tank.

( Since, flow is negative )

Volume of oil in large tank, V = 600 gallons.

Now,

Volume of oil has been moved :

[tex]v = F \times t\\\\v = -4 \ gallons/min \times\ 32\ min\\\\ v = -128\ gallons[/tex]

Therefore, 128 gallons of oil has been moved to small tank.

Hence, this is the required solution.

Answer:

128 gallons, into the small tank.  I think its the second option for the last box, not 100 percent sure but i did the question so yea :D

Step-by-step explanation:

Answer:

Step-by-step explanation: Need to work out your scale factor which is 1.5.

8 * 1.5 = 12

CE = 12

12 * 9 = 108/2 = 59 that is the area of triangle ACE

8 * 6 = 48/2 = 24 that is the area of triangle BCD

ACE - BCD = ABDE

59 - 24 = 35cm^2

Answer:

110

Step-by-step explanation:

2750ft/ 25mins = 110 ft per min. I hope this helps.

Answer:

???

Step-by-step explanation:

Answer:

it would be any number that is less that ten but greater than 5

Answer:

60

Step-by-step explanation:

Summing the ratios gives 1+2+2=5

300/5 = 60

(1 x 60) + (2 x 60) + (2 x 60)

(60) + (120) + (120) = 300

Hence the least share is 60

The other two shares are equal which is 120