What is the digit in the units place of the sum of 1^1+ 2^2+ 3^3+ 4^4 +.....+ 99^99 + 100^100?

Answers

Answer 1

Let us write down first few factors

1^1 = 1

2^2 = 4

3^3 = 27

4^4 = 256

5^5 = 3125

6^6 = 46656

.

.

.

100^100 = ... finish in zero

The last two digits in the sum would be 20

The digit in the unit would be 0


Related Questions

PR and SU are parallel lines. Which angles are corresponding angles?

Answers

Given

PR and SU are parallel lines.

To find the pair of corressponding angles.

Explanation:

From, the figure,

Since PR and SU are parallel and the corressponding angles lie in the same corner.

Then,

[tex]\begin{gathered} \angle PQO,\angle STQ \\ \text{are corressponding angles.} \end{gathered}[/tex]

Hence, the answer is Option c).

picture is down below, i have to take another picture of C & D

Answers

Answer

f(x)

domain: all real numbers, range: all real numbers

f⁻¹(x)

domain: all real numbers, range: all real numbers

Step-by-step explanation

Given the function:

[tex]f(x)=-x+5[/tex]

This is the equation of a line.

The domain and range of a linear function are all real numbers.

On the other hand, the range of an inverse function is the domain of the original function and the domain of an inverse function is the range of the original function. Then, the domain and range of the inverse of f(x) are all real numbers.

A paving company has 24 employees, 15 with gross earnings of $365 per week and 9 with gross earnings of $385 per week. What is the total social security and medicade for the first quarter of the year

Answers

The total social security and medicade for the first quarter of the year is $17,781.66.

How to calculate the tax?

The computation will be:

Gross earning per week = 15 * 365 + 9 * 385

= $8,940 per week

Here, the number of weeks is 13 in each quarter:

Gross earning =$8,940 * 13

= $116,220

Social security tax = $116,220 * 6.2%

= $7,205.64

Medicare tax = $116,220 * 1.45%

= $1,685.19

Total = $7,205.64 + $1,685.19

= $8,890.83

Now, to involve the employer's share it is required to multiply the total tax by 2

Therefore,

Total tax remitted to IRS = $8,890.83 * 2

= $17,781.66

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17. A moving company charges a flat rate of $85 plus and additional $0.17 per mile driven. How far must the company drive to earn at least $100? Round to thenearest mile.x2 84x2 78x2 80x2 88

Answers

ANSWER

88

EXPLANATION

Let x be the miles driven and y be the earnings of the company when they drive for x miles.

If the company charges $0.17 per mile driven plus a flat rate of $85, then the total cost for moving x miles away is,

[tex]y=85+0.17x[/tex]

Now, we have to find for how many miles, x, the company must drive to earn $100 or more,

[tex]85+0.17x\ge100[/tex]

Subtract 85 from both sides,

[tex]\begin{gathered} 85-85+0.17x\geq100-85 \\ \\ 0.17x\ge15 \end{gathered}[/tex]

And divide both sides by 0.17,

[tex]\begin{gathered} \frac{0.17x}{0.17}\ge\frac{15}{0.17} \\ \\ x\ge88.24 \end{gathered}[/tex]

Hence, the company must drive for at least 88 miles to earn at least $100, rounded to the nearest mile.

Sales representatives of a new line of computers predict that sales can be approximated by the function (0= 1350 + 6101n(31+ e), where is measured in years.What are the predicted sales in 15 years? Round your answer to the nearest whole number

Answers

It is predicted that sales over time can be approximated by the function:

[tex]S(t)=1350+610\ln(3t+e)[/tex]

It is required to find the predicted sales in 15 years to the nearest whole number.

To do this, substitute t=15 into the given function:

[tex]S(15)=1350+610\ln(3\cdot15+e)=1350+610\ln(45+e)[/tex]

Evaluate and round to the nearest whole number as required:

[tex]S(15)=1350+610\ln(45+e)\approx3708[/tex]

The sales in 15 years is about 3708.

The smaller of two similar balloons has a diameter of 10 inches. If it takes 12 (same sized) breaths to blow up the smaller balloon and 40.5 to blow up the larger, what is the diameter of the larger balloon?

Answers

The smaller of two similar balloons has a diameter of 10 inches. If it takes 12 (same sized) breaths to blow up the smaller balloon and 40.5 to blow up the larger, what is the diameter of the larger balloon?​

we have that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube.

so

Find the scale factor

ratio volumes=40.5/12=3.375

3.375=(scale factor)^3

[tex]\text{scale factor=}\sqrt[3]{3.375}[/tex]

scale factor=1.5

To find out the diameter of the larger balloon multiply the scale factor by the diameter of the smaller balloon

so

1.5*(10)=15 inches

the answer is 15 inches

Greg's youth group is collecting blankets to take to the animal shelter. There are 38 people in the group, and they each gave 2 blankets. They got an additional 29 by asking door-to-door. They set up boxes at schools and got another 52. Greg works out that they have collected a total of 121 blankets. Does that sound about right?

Answers

We want to know the total of blankets that Greg's collected.

As there are 38 people in the group, and they each gave 2 blankets, they brough a total of 79 blankets.

As they got 29 asking door-to-door, and got another 52, we will sum the values, as shown:

[tex]79+29+52=160[/tex]

This means that the Greg group collected a total of 160 blankets, instead of 121, and the Greg statement is false.

What is the center of the circle simplify any fractions

Answers

Answer:

[tex](x,y)\rightarrow(0,4)[/tex]

Explanation: We have to find the center of the circle, the equation of the circle is as follows:

[tex]x^2+y^2-8y-48=0\rightarrow(0)[/tex]

Ploting the equation (0) gives the following result:

Therefore the center of the circle has the coordinates (0,4).

hello i am haveing some trouble with ineqalles and can you help with this create a word problem that leads to an inequality by filling in the blanks with your corresponding answer.Twenty subtracted from the product of seven and a number exceeds one hundred.

Answers

Step 1

To change word problem to an inequality, you must take the word problem step by step and translate it into an inequality.

Step 2

Take the word problem step by step

[tex]\begin{gathered} \text{Twenty refers to the number }^{\prime}20^{\prime} \\ \text{Twenty subtracted from means 20 was removed from something.} \\ i.e\text{ say x-20} \end{gathered}[/tex][tex]\begin{gathered} \text{Twenty subtract}ed\text{ from the product of seven and a number } \\ \text{Product of seven and a number first} \\ Let\text{ the number be x} \\ so\text{ it now} \\ \text{Product of seven and x=7x } \end{gathered}[/tex][tex]\text{Twenty subtract}ed\text{ from the product of seven and a number}=7x-20[/tex]

7) A math teacher asked 60 randomly selected 7th graders whether they 10 pointsare left handed or right handed. The table below shows the results of thesurveyLeft or Right-Handed?Hand FrequencyLeftRight4218A school has a total of 280 seventh-grade students. Based on the resultsshown in the table above, how manyof those seventh-grade studentswould you expect to be left-handed?A 60B 72C 84D 120

Answers

Answer:

C. 84

Explanation:

First, we will calculate the percentage of left-handed students in the group of 60 that the teacher asked.

So, the percentage is equal to:

[tex]\frac{18}{60}\times100\text{ \% = 30\%}[/tex]

Therefore, 30% of the randomly selected students are left-handed.

Now, we can use this percentage to estimate the number of left-handed students in the group of 280.

Then, 30% of 280 is equal to:

[tex]30\text{ \% }\times280=\frac{30}{100}\times280=84[/tex]

So, the answer is C. 84.

A Census Burcau report on the income of Americans says that with 95% confidence themedian income of all U.S. households is $49,841 to $50,625. The point estimate and margin oferror for this interval are: *Point estimate = $49,841; Margin of error = $784Point estimate = $50,233; Margin of error = $784oPoint estimate = $50,233; Margin of error = $392Point estimate = $50,625; Margin of error = $392

Answers

Let the point estimate be x and the margin of error be e.

Then, we must have

[tex]\begin{gathered} x+e=50625----------------------(1) \\ x-e=49841----------------------(2_{}) \end{gathered}[/tex]

Add the equation (1) and equation(2) to eliminate the variable e, we have

[tex]\begin{gathered} 2x=100466 \\ \text{ thus} \\ x=\frac{100466}{2}=\text{ \$}50233 \end{gathered}[/tex]

Subtracting equation (2) from equation(1) to eliminate the variable x, we have

[tex]\begin{gathered} 2e=784 \\ \text{ thus} \\ e=\frac{784}{2}=392 \end{gathered}[/tex]

Hence, the point estimate is $50233 and the margin of error is $392, The Third option

PLEASE I NEED THIS ANSWER ASAP!!!!!!

46% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces. Complete parts​ (a) through​ (c) below.

Answers

Using the binomial distribution, the probabilities are given by the image at the end of the answer.

Binomial distribution

The probability mass function is given as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the function are described as follows:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.x is the number of successes that we want to find the probability of.

In the context of this problem, the values of these parameters are given as follows:

p = 0.46, as 46% of employees judge their peers by the cleanliness of their workspaces.n = 8, as you randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces.

To complete the table, we find each probability, as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.46)^{0}.(0.54)^{8} = 0.0072[/tex]

[tex]P(X = 1) = C_{8,1}.(0.46)^{1}.(0.54)^{7} = 0.0493[/tex]

[tex]P(X = 2) = C_{8,2}.(0.46)^{2}.(0.54)^{6} = 0.1469[/tex]

[tex]P(X = 3) = C_{8,3}.(0.46)^{3}.(0.54)^{5} = 0.2503[/tex]

[tex]P(X = 4) = C_{8,4}.(0.46)^{4}.(0.54)^{4} = 0.2665[/tex]

[tex]P(X = 5) = C_{8,5}.(0.46)^{5}.(0.54)^{3} = 0.1816[/tex]

[tex]P(X = 6) = C_{8,6}.(0.46)^{6}.(0.54)^{2} = 0.0774[/tex]

[tex]P(X = 7) = C_{8,7}.(0.46)^{7}.(0.54)^{1} = 0.0188[/tex]

[tex]P(X = 8) = C_{8,8}.(0.46)^{8}.(0.54)^{0} = 0.0020[/tex]

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Given a Cost of $9.00 and a Percent Markup on Cost of 30% find the Selling Price.

Answers

Markup (or price spread) is the difference between the selling price of a good or service and cost. It is often expressed as a percentage over the cost.

Given:

cost = $9.00

percent markup = 30%

Let the selling price be x

The formula form percent markup is:

[tex]\text{ \% markup = }\frac{\text{ Selling price - cost}}{\cos t}\text{ }\times\text{ 100 \%}[/tex]

Substituting we have;

[tex]30\text{ = }\frac{x\text{ - 9}}{9}\text{ }\times100[/tex]

Solving for x:

[tex]\begin{gathered} \text{x - 9 = 2.7} \\ x\text{ = 11.7} \end{gathered}[/tex]

Hence, the selling price is $11.7

Answer: $11.7

The following hyperbola has a horizontal transverse axis: (x + 2) (w+7)=11617

Answers

for the given hyperbola

[tex]\frac{(x+2)^2}{16}-\frac{(y+7)^2}{17}=1[/tex]

We have the following graph. Visually we can see that this hyperbola does have a transverse axis, however you can do all the calculations to check it

[tex]\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1 \\ h=-2 \\ k=-7 \\ a^2=16 \\ b^2=17 \\ c^2=16+17 \\ c=\sqrt[]{33}=5.7 \\ f_1=(h-c,k) \\ f_1=(-2-5.7,-7) \\ f_2=(-7.7,-7) \\ f_2=(3.7,-7) \\ y=-7\to\text{ is the ecuation of the transversal axis} \end{gathered}[/tex]

As we can see y = -7 is a line parallel to the x axis, turning the transversal axis horizontal.

That is, this hyperbola does have a horizontal transverse axis and the answer is TRUE

if 453 runners out of 620 completed a marathon, what percent of the funners finished the race?

Answers

Answer:  73.1%

Step-by-step explanation:

620/453 = 73.1%

Pls check so you can see if correct

Select the correct answer.Christi is using a display box shaped like a regular pentagonal prism as a gift box. About how much gift wrap does she need to completely coverthe box?A 800 cm²B. 480 cm2C. 1,020 cm²D. 1,600 cm²

Answers

Given: A regular pentagonal prism with base edge 8cm and height 20 cm .

Find: wrap need to cover the box.

Explanation: for to find the length of wrap we need to find the area of regular pentagonal prism .

[tex]A=5ah+\frac{1}{2}\sqrt{5(5+2\sqrt{5)}}a^2[/tex]

where a=base edge=8cm and h =height=20 cm

[tex]\begin{gathered} A=5\times8\times20+\frac{1}{2}\sqrt{5(5+2\sqrt{5})}\times8^2 \\ =1020.2211\text{ cm}^2 \end{gathered}[/tex]

Final answer: the required answer is 1020 square centimeter.

Answer:

C. 1,020 [tex]cm^{2}[/tex]

Hope this helps!

Step-by-step explanation:

After adding the two equations to eliminate x you are left with 4y=-8

Answers

[tex]\begin{gathered} -2x+3y=-12 \\ 2x+y=4 \\ \text{adding} \\ 4y=-8 \\ \end{gathered}[/tex]

solve for y

[tex]\begin{gathered} \frac{4y}{4}=-\frac{8}{4} \\ y=-2 \end{gathered}[/tex]

then, solve for x

[tex]\begin{gathered} 2x-2=4 \\ 2x-2+2=4+2 \\ 2x=6 \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}[/tex]

x = 3

y = -2

which of the following are the coordinates of point B on the directed line segment AC, such that AB is 1/5 of AC?

Answers

Answer:

The coordinates of point B is;

[tex](5,-7)[/tex]

Explanation:

Given the attached image;

The coordinate of point A is;

[tex](8,-8)[/tex]

The coordinate of point C is;

[tex](-7,-3)[/tex]

If AB is 1/5 of AC;

[tex]\Delta x_{AB}=\frac{1}{5}(\Delta x_{AC})_{}_{}_{}_{}_{}_{}[/tex]

So; let (x,y) represent the coordinates of B;

[tex]\begin{gathered} (8-x)=\frac{1}{5}(8-(-7)) \\ 8-x=\frac{1}{5}(15) \\ 8-x=3 \\ x=8-3 \\ x=5 \end{gathered}[/tex]

The same applies to y coordinate;

[tex]\Delta y_{AB}=\frac{1}{5}(\Delta y_{AC})_{}[/tex]

So;

[tex]\begin{gathered} (-8-y)=\frac{1}{5}(-8-(-3)) \\ -8-y=\frac{1}{5}(-8+3) \\ -8-y=\frac{1}{5}(-5) \\ -8-y=-1 \\ y=-8+1 \\ y=-7 \end{gathered}[/tex]

Therefore, the coordinates of point B is;

[tex](5,-7)[/tex]

Rosa needs to build a wall. She has to start the wall with one postand then every 5.75 feet put another post. The wall will be166.75 feet long. How many posts will she need?

Answers

For every 5.75 feet, here is one post.

Determine the number of posts in a wall of 166.75 feet.

[tex]\begin{gathered} p=\frac{166.75}{5.75} \\ =29 \end{gathered}[/tex]

So 29 posts needed for the wall.

The mayor of a town proposes to fence off a triangular area of a building that includes two sides of the building as shown below.Which distance, in feet could be the length of the proposed fence line?100280220130

Answers

Solution

Using triangle inequality

The triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side.

The fence line is the longest size

100, 130 can't be the answer

[tex]200+70=270[/tex]

280 can't be the answer be ause the triangle inequality says it should be less than the sum

[tex]Z<\text{ X +Y}[/tex]

Therefore, the correct answer is 220


6. Express the given function h as a composition of two functions f and g
such that H(x) = (fog)(x).
a) H(x) = |3x +2|
b) H(x) = √√√√5x +4

Answers

The given function can be represented f(x) and g(x) as below

What are functions?

A function from X to Y is an assign of each constituent of Y to each variable of X. The set X is known as the function's scope, while the set Y is known as the function's image domain. The notation f: XY denotes a function, its domain, and its codomain, and the value of a function f at an element x of X, indicated by f(x), is known as the image of x under f, or the value of f applied to the argument x. When defining a function, the domains and codomain are not often explicitly specified, and without performing some (complicated) calculation, one may only know that perhaps the domain is included in a larger package.

The functions are

(a) f(x) = 3x+2 and g(x) = |x|

so, H(x) = f(g(x)) = |3x+2|

(b)  f(x) = 5x+4 and g(x) = √√√√x

so, H(x) = f(g(x)) = √√√√5x+4

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If $19,000.00 is invested in an account for 30 years. Find the value of the investment at the end of 30 years if the interestis:(a) 7% simple interest:(b) 7% compounded monthly:

Answers

Hello there. To answer this question, we need to remember some properties in simple and coumpound interests investments.

For simple interest, the balance will be equal to P(1 + rt), in which P is the amount invested, r is the interest rate in years and t is the time (can be either years of months).

For compound interest, the balance will be equal to P(1 + r)^t.

So, using the values P = $19,000.00 and the time is equal to 30 years, we have for:

a) 7% simple interest

It means that r = 7% and then we can use the first formula

19000(1 + 0.07*30)

We converted the rate to decimals above

Multiplying the values, we have:

19000(1 + 2.1)

19000*3.1

$58.900

b) 7% compounded monthly

First, we need to convert the time from years to months, multiplying by 12

30*12 = 360 months

Using the second formula, we have:

19000(1 + 0.07)^(360)

Sum the values into parenthesis

19000*1.07^(360)

If the snow is falling at a rate of 1 inches per hour, how many hours will it take to snow 12 inches?

Answers

Imagine the following, we will place a tube under the snow. So we have the following

After one hour, the tube will be filled with 1 inch of snow.

After 2 hours, we will have one inch more

So, one way to calculate the amount of snow after a specific amount of hours, is simply multiplying the hours by the rate at which the height of the snow changes. IN here, the height changes 1 inch per hour. So after x hours the height of the snow would be

[tex]1\cdot\text{ x }[/tex]

We want to find x, such that the height of the snow is 12.

So we have the equation

[tex]1\cdot x\text{ = 12}[/tex]

which gives us that in 12 hours we will have 12 inches of snow.

For every 4 songs on Mary's playlist, 3 of the songs are longer than 5 minutes.
Complete the table of values to compare the total money spent to tickets purchased.
Total Number of Songs on Playlist
Number of Songs Longer Than 5 Minutes
8
32
40
136

Answers

we were told that in every 4 songs on the playlist, 3 of the songs are longer than 5

so if in for 4 songs, 3 is longer than 5

for 8 songs,

we divide the the number of songs in the playlist by 4 in other to get the numbers of 4 in it then muliply by the number of songs longer than 5

for 8 songs on the playlist:

= 8/4 X 3

= 2 X 3

= 6

For 32 songs on the playlist

= 32/4 X 3

= 8 X 3

= 24

For 40 songs on the playlist

= 40/4 X 3

= 10 X 3

= 30

For 136 number of songs on the playlist

= 136/4 X 3

= 34 X 3

= 102

so in completing the table:

Total Number of Songs on the Playlis Number of songs longer than 5min.

8 6

32 24

40 30

136 102

Sand will be placed under the base of a circular pool with a diameter of 14 feet. 1 bag of sand covers about 5 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.

I am getting hung up on the last part of doing this problem.

Any help is greatly appreciated.

Answers

Sand will be placed under the base of a circular pool with a diameter of 14 feet. 1 bag of sand covers about 5 square feet. the number of bags of sand required is 30bags.

The area of the pool is

 A = πr²

 A = 3.14×(7 ft)² = 153.8 ft²

The number of bags of sand required is ...

 (153.8 ft²)/(5 ft²/bag) ≈ 30.76bags

bags of sand are needed.

What is diameter?

The diameter is defined as twice the length of the radius of the circle. The radius is measured from the centre of the circle to one endpoint on the boundary of the circle, while the diameter is the distance  measured from one end of the circle to a point on the other end of the circle that passes through the centre. This is indicated by the letter D. The circumference of  a circle has an infinite number of points, which means that the circle has an infinite number of diameters and each diameter of the circle is the same length.

Ø is the symbol  used in the design to indicate the diameter. This symbol is often used in technical data and drawings.

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N8) solve the system using substitution method and then graph the equations.2x - 4y = -23x + 2y = 3-

Answers

Solution

Given:

2x - 4y = -2

3x + 2y = 3

Substitution method

[tex]\begin{gathered} From\text{ 3x+2y=3} \\ 3x=3-2y \\ x=\frac{3-2y}{3} \end{gathered}[/tex][tex]\begin{gathered} Substitute\text{ }x=\frac{3-2y}{3}\text{ into the first equation} \\ 2x-4y=-2 \\ 2(\frac{3-2y}{3})-4y=-2 \\ \frac{6-4y}{3}-4y=-2 \\ Multiply\text{ }trough\text{ by 3} \\ 6-4y-12y=-6 \\ 6-16y=-6 \\ -16y=-6-6 \\ -16y=-12 \\ y=\frac{-12}{-16} \\ y=\frac{3}{4} \end{gathered}[/tex][tex]\begin{gathered} Substitute\text{ y=}\frac{3}{4}\text{ into }x=\frac{3-2y}{3} \\ x=\frac{3-2(\frac{3}{4})}{3}=\frac{3-\frac{3}{2}}{3}=\frac{\frac{6-3}{2}}{3}=\frac{\frac{3}{2}}{3} \\ x=\frac{3}{6} \\ x=\frac{1}{2} \end{gathered}[/tex][tex]Thus,\text{ x=}\frac{1}{2},y=\frac{3}{4}[/tex]

Graphical method:

Plot the graph of the two equations on the same graph

The point of intersection of the two graphs gives the solution to the system of equations

The point of intersection is (0.5, 0.75)

Which in fraction gives (1/2, 3/4)

Thus. x = 1/2, y= 3/4

Solve the problems below as fast as you can because I’m trying to go to sleep but it’s not an assignment or graded or timed please

Answers

Given the inequality:

4m < 24

Let's solve for m.

To solve for m, divide both sides of the inequality by 4:

[tex]\begin{gathered} \frac{4m}{4}<\frac{24}{4} \\ \\ m<6 \end{gathered}[/tex]

ANSWER:

m < 6

Graph for a 3rd degree polynomial function whose graph crosses the horizontal axis more than one

Answers

Given the 3° degree function:

[tex]x^3-4x+2[/tex]

Graph:

Write a formula for the function obtained when the graph is shifted as described. When typing exponents use the carrot key ^ by pressing SHIFT and 6. For example x squared can be typed as x^2. Do not put spaces between your characters and remember to use parentheses in the appropriate places!f(x)=x^2 is shifted up 1 unit and to the left 2 units.The new equations f(x)=Answer

Answers

Given the function f(x) defined as:

[tex]f(x)=x^2[/tex]

We need to obtain the graph after performing two shifts: 1 unit up and 2 units left. For the first shift, we do the transformation:

[tex]f(x)\rightarrow f(x)+1[/tex]

Now, for the second shift:

[tex]f(x)\rightarrow f(x+2)[/tex]

Combining these transformations:

[tex]\begin{gathered} f(x)\rightarrow f(x+2)+1 \\ \therefore f(x)=(x+2)^2+1 \end{gathered}[/tex]

Write the equation of a line that passes through the point (-2,-12) is parallel to the equation y= 2x +3

Answers

The most appropriate choice for equation of line in slope intercept form will be given by-

y = 2x - 8 is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan \theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line

Here,

The given equation of line is y= 2x +3

Slope of this line = 2

Slope of the line parallel to this line = 2

The line passes through (-2, -12)

Equation of the required line = y - (-12) = 2(x - (-2))

                                                = y + 12 = 2x + 4

                                                = y = 2x + 4 - 12

                                                = y = 2x - 8

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Find the midpoint of the coordinates (3. -18) and (-5, -10) WHAT IS THE XVALUE? What is the explanation for line 22 of i wandered lonely as a cloud a flat coil of wire consisting of 17 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 3 t to 6 t in 2.0 s. what is the magnitude of the emf (in volts) induced in the coil? your answer should be a number with two decimal places, do not include the unit. a company using the periodic inventory system has the following account balances: inventory (beginning of the year), $3,874; freight-in, $608; purchases, $14,424; purchases returns and allowances, $2,521; purchases discounts, $250. the cost of merchandise purchased is how do I do domin and range on a graph Let h(t)=tan(4x + 8). Then h'(3) isand h''(3) is When Elizabeth left her phone in her house this morning How does Healeys argument reflect the concerns of the Progressive reformers in the early 1900s? Why do economists believe that marketbased strategies are more likely to achieve efficient pollution abatement than regulatory agencies?. How many grams of calcium fluoride are in 1.5 moles of calcium fluoride? Translate this phrase into an algebraic expression.72 decreased by twice a numberUse the variable n to represent the unknown number. A piece of magnesium ribbon is reacted with excess hydrochloric acid to produce aqueous magnesium chlorideand hydrogen gas. The volume of the dry hydrogen gas produced is 45.6 milliliters. The temperature of the gasis 293 K, and the pressure is 99.5 kilopascals.Balance the given equation using the smallest whole number coefficients.___Mg(s) + ___HCl(aq) > ___MgCl(aq) + ____H(g) The headlights of an automobile are set such that the beam drops 2.00 in. for each 28.0 ft in front of the car. What is the angle between the beam and theRoad? True or false? Based only on the given information, it is guaranteed thatAD EBDADGiven: ADI ACDBICBAC = BCBCDO A. TrueB. FalseSUBMIT Please help me out with this! Reginald wants to buy a new collar for each of his 3 cats. The collars come in a choice of 6 different colors. How many selections of collarsfor each of the 3 cats are possible if color repetitions are allowed If the formula x=1/n, is used to find the mean of the following sample, what is the value of n? 2, 63, 88, 10, 72, 99, 38, 19 Which are sources of adult stem cells? Select three options. what accounting treatment applies when a parent sells some of its subsidiary's shares, but nonetheless retains control over the subsidiary? multiple select question. the parent recognizes any difference between the proceeds and the underlying carrying amount of the shares sold as an adjustment to apic. the sale of the subsidiary shares is considered a transaction within the consolidated entity. the parent recognizes in its current year income statement either a gain or loss on the subsidiary shares sold. Answer each of the following items.A. In 2-3 sentences, analyze the reasons why specific population control policies have been successfulor controversial in the context of a country's economic structure, religious practices, culture, populationdensity, or political structure.B. In 3-4 sentences, describe two countries' programs with reference to specific examples of measuresof success or issues of controversy.