Write an equation of the line that passes through (-4, 1) and is parallel to the
line y - 3 = 2(x + 7).

Answer:

y = 4x + 5

Step-by-step explanation:

Use point-slope formula to plug in the known point and slope.

Answer:

Series Circuit

Step-by-step explanation:

In a series circuit, the total resistance is equal to the sum of all resistances.  Hope this helps u out!

Answer:

7a is not a factor because it doesnt divide into anything.

7a is not a term because it is not only the variable.

3 is a constant because it is a number in the expression.

7a is not a coefficient because it is not just the number.

8b and 5b are like terms because they have the same variables.

None of these are true Thats false because some of the answers are right

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

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The amount of money Ben had to begin with after spending 1/6 and 1/2 of it is 57 dollars.

let

x = amount he had to begin with

He  spent 1/6 of his money on a burger, fries, and a drink. Therefore,

amount spent on burger, fries, and a drink = 1  / 6 x

Hence,

amount he had left = x - 1 / 6 x =6x - x /6 = 5 / 6 x

Then he spent half of the money he had left.

1  / 2(5  /6 x) = 5 + 8.25 + 10.50

5 / 12 x = 23.75

cross multiply

5x = 23.75 × 12

5x = 285

divide both sides by 5

x = 285 / 5

x = 57

Therefore, the amount of money he have to begin with is $57.

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Answer:

$57

Step-by-step explanation:

10.50 - 7.50 = 3

3 x 19 =57

$57

Answer:

f(x) = |x - 2| - 2

Step-by-step explanation:

Based on the shape of the graph, it's an absolute value function.

so the template for it is f(x) = |x|

From there, you can make some additions to show how much the graph has shifted from the template equation

since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:

f(x) = |x - 2| - 2

Answer:

540 cubic inches.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Multiply left to right, so you start with -1/6*4/7=-2/21

Then you apply the fraction rule so -1/6*4

and 4 can be expressed by 4/1 so -1/6*4/1=-2/3

Then after solving you will get -4/6

then you factor 4=2*2 what will be -2*2/6

Then you cancel the common factors what are 2

so you bring back the 7 so -2/3/7 and 7 can be expressed as 7/1 and then you apply the fraction rule and flip it to 1/7 what will be solved as -2/21

so then it will be -2/21+1/2-1/14-3/7*1/6

Then you will have to solve -3/7*1/6 what is 1/14

so -2/21+1/2-1/14=1/3 final equation

Answer:

Step-by-step explanation:

The table shows a data for an antenna that revolves at exactly twice the rate of the antenna described in the graph is Table D.

The formula to calculate the rate will be:

= Change in revolution/Change in time

The rate of the given antenna will be:

= (60 - 30)/(4 - 2)

= 30/2

= 15

Also, the rate of antenna 1 is 23, antenna 2 is 25, antenna 3 is 2. The rate for antenna 4 will be:

= (720 - 660)/(24 - 22)

= 60/2

= 30

It can be seen that 30 is double of 15.

Therefore, table D revolves at exactly twice the rate of the antenna.

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Answer:

y = 9x

Step-by-step explanation:

We can make the x-values represent how many hours Jessica babysat, and the y-values represent how much money she earned each day.

We have these points:

The days of the week she worked do not matter in this problem. We are just trying to find the association between hours worked and money earned.

We can start by finding the slope of the line by using two of the points. I will be using (3, 27) and (6, 54).

The slope formula is [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex].

Substitute these two points into the formula:

The slope of the line is m = 9.

Now, we can use the point-slope equation to find the equation of the line that represents Jessica's earnings.

Point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].

Substitute the slope m = 9 and the point (3, 27) into the equation.

The equation y = 9x  represents Jessica's earnings, where x represents hours and y represents earnings.

Answer:

The answer is B.

[tex]t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a}[/tex]

Step-by-step explanation:

[tex]d=3+at^2\\\\d-3=at^2\\\\\frac{d-3}{a}=t^2\\\\ t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a} }[/tex]

Answer:

140000

Step-by-step explanation:

Hewo Yuri-san here Allow me to help! :3

Answer:

-140,000

Step-by-step explanation:

Here's a trick I learned in 5th grade.

You see all the zero's behind the number 10,000 just add them onto the back of the number you're mutliplying with and it gives you the answer.

In this case, we have the number 10,000 with 4 zero's and we're going to add that to the back of 14 which gives us the answer 140,000  And they both have 4 zero's. :)

Therefore, the answer is 140,000

Hope this Helps!

Have a great day!

-Yuri-san

Answer:

65

Step-by-step explanation:

t = 10

e = 11

10 + (11*5)

65

Answer:

A. 28/253

B. 60/253

Step-by-step explanation

A. first step is to add all the grapes up which = 23

then you would put the

green grapes/ the total which would be 8/23

since henry ate one grape you would subtract 8-1 and then 23-1 and you would get 7 and 22

then you would put 7/22 and multiply 8/23 which gets you 28/253

B. first you put red grapes over total grapes which are 15/23

then,

you would do the green grapes which are 8/22

you would multiply 15/23 and 8/22 which = 60/253

Answer:

a

Step-by-step explanation:

pounds because all will measure with it only even shop keepers........................................

Answer:

13

Step-by-step explanation:

we us the pythagorean theorem

sqrt( 144 + 25) = 13

Answer:

<1= 68 degree

<2= 112 degree

<3= 68 degree

<4= 112 degree

<5= 68 degree

<6= 112 degree

<7= 68 degree

<8= 112 degree

Step-by-step explanation:

steps in the image-

Step-by-step explanation:

1 log 5² - 2 log 2⁵ - 2log3 + log 18 10

= 2log 5 - 10log2 - 2log3 + log 18 10

Answer:

g(3) = 0. g(-5) = 2. g(0) = -3

Step-by-step explanation:

simply put whatever is inside the brackets, into where t is in the equation

e.g:

|t| - 3 for g(3) is: |3| - 3 = 0

the two lines around t just mean that whatever is inside you should always turn positive. so |-1| = 1 and |-3 + 1| = 2

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

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Answer:

Step-by-step explanation:

The relevant area and volume formulas are ...

  A = 2(LW +H(L +W))

  V = LWH

When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.

Figure A has the larger area.

Figure B has the larger volume.

__

Additional comment

The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)

Answer:

20 burgers

Step-by-step explanation:

4/6×30 = 2/3 ×30 = 60/3 = 20

Answer:

13 inches

Step-by-step explanation:

Answer:

The base must be 13 inches

Step-by-step explanation:

Step 1:  Determine the length of the base

[tex]A = 1/2 * b * h[/tex]

[tex]117\ in^2 = 1/2 * b * 18\ in[/tex]

[tex]117\ in^2 = 9\ in * b[/tex]

[tex]\frac{117\ in^2}{9\ in} = \frac{9\ in * b}{9\ in}[/tex]

[tex]13\ in = b[/tex]

Answer:  The base must be 13 inches

Answer:

30 degrees

this is a guess but an educated one because the total angle adds up to 180 deg so one i assume is around 100 plus 50 plus 30 makes sense

Answer:

120 degrees

Step-by-step explanation:

30 * 4 = 120

Answer:

Step-by-step explanation:

30 + 30 + 30 + 30 = 30 x 4 = 120 degrees

Answer:

5,10

Step-by-step explanation:

this is the answer