can someone help me ?

Can Someone Help Me ?

Answers

Answer 1

Answer:

∠ C = 26°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180°

120° + 34° + ∠ C = 180°

154° + ∠ C = 180° ( subtract 154° from both sides )

∠ C = 26°


Related Questions

Triangle A B C is shifted to the left to form triangle A prime B prime C prime. Triangle A prime B prime C prime is then dilated to form larger triangle A double-prime B double-prime C prime.

Determine the similarity transformations that verify △ABC ~ △A''B''C'.

The first transformation mapping △ABC to △A'B'C' is a

.

The second transformation mapping △A'B'C' to △A''B''C' is a

.

Answers

Similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions. Thus the answers required are:

a. Similarity transformations - translation and dilation.

b. The first transformation is translation.

c. The second transformation is dilation.

Transformation is a process required to change the size or orientation of a given shape to form an image. The types are reflection, translation, rotation, and dilation.

i. Reflection is a type of rigid transformation in which a given shape is flipped about a given point or line.

ii. Translation involves moving a given shape in a certain direction without a change in its initial orientation.

iii. Rotation is a type of rigid transformation where a shape is turned about a given point or line at a required angle.

iv. Dilation is a process that requires either increasing or decreasing the dimension of a given shape.

Also, similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions.

The appropriate answers to the given question are:

a. similarity transformations - translation and dilation

b. The first transformation is translation.

c. The second transformation is dilation.

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Find the measure of the reference angle for an 11 radian
radian angle.

Answers

Answer:

  about 1.56637 radians ≈ 89.746°

Step-by-step explanation:

The reference angle in radians can be found by the formula ...

  ref angle = min(mod(θ, π), π -mod(θ, π))

Equivalently, it is ...

  ref angle = min(ceiling(θ/π) -θ/π, θ/π -floor(θ/π))×π

Application

When we divide 11 radians by π, the result is about 3.501409. The fractional part of this quotient is more than 1/2, so the reference angle will be ...

  ref angle = (1 -0.501409)π radians ≈ 1.56637 radians ≈ 89.746°

__

Additional comment

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

Simplify the following expressions.

Answers

The simplified expression for the following expression are:

7a + 3a - 2a + 5a = 13a0.7 - 0.3g - 0.02g + 5 = 5.7 - 0.32g5g² + 3g - 4g + 5g² = 10g² - g

Simplification

7a + 3a - 2a + 5a

= 15a - 2a

= 13a

0.7 - 0.3g - 0.02g + 5

= 5.7 - 0.32g

5g² + 3g - 4g + 5g²

= 10g² - g

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A diagonal matrix has the elements shown below.
211 = 16
a22-8.7
233= 5.4
a44 1.3
255=-6.9
Which is the diagonal matrix containing these elements?
16 -3.7 6 1.7 -8.8
0
-8.7 -4.14 1 7
0
0
5.4 -9 -3
0
0
0
1.3 5
0
0
0
0 -6.9

Answers

The diagonal matrix that has these values would be:

16 0 0 0 0

0 -8.7 0 0 0

0 0 5.4 0 0

0 0 0 1.3 0

0 0 0 0 -6.9

What is a diagonal matrix?

This is the type of matrix that is written in the form where all of the entries that are outside the diagonal are zeros.

The diagonal is a line that divides a triangle into two halves. The diagonal here has all of the digits. Outside it are all zero elements.

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Answer:

C is the correct answer

Explanation:

Hope you have a great day!

A right triangle is shown. The other 2 angles are 45 degrees. The length of the hypotenuse is 24 inches.

The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?
12 in.
12 StartRoot 2 EndRoot in.
24 in.
24 StartRoot 2 EndRoot in.

Answers

The length of one leg of the right triangle is h = 12√2 inches

How to find the length of the leg of a right triangle?

The length of a right triangle can be found as follows;

sin 45 = opposite / hypotenuse

Therefore,

hypotenuse = 24 inches

Hence,

sin 45 = h / 24

h = 24 sin 45

h = 24 × 1 / √2

Therefore,

h = 24 / √2 × √2 / √2

h = 24√2 / 2

h = 12√2 inches

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Answer: B. 12√2 inches

Step-by-step explanation: TRUST ME!!! Answer correct on Edge!!! :)

An independent group of food service personnel conducted a survey on tipping practices in a large metropolitan area. They collected information on the percentage of the bill left as a tip for 35 randomly selected bills. The average tip was 14.2% of the bill with a standard deviation of 2.5%. Assume that the tips are approximately normally distributed. Construct an interval to estimate the true average tip (as a percent of the bill) with 99% confidence. Round the endpoints to two decimal places, if necessary.

Answers

An interval to estimate the true average tip is  (14.62,13.78).

According to statement is

we know that the

confidence interval = sample mean ± standard deviation /(n)^1/2

substitute the values in it then

confidence interval = 14.2  ± 2.5/(35)^1/2

confidence interval = 14.2 ± 2.5/5.91

confidence interval = 14.2 ± 0.42

confidence interval = 14.2 + 0.42 , confidence interval = 14.2 - 0.42

confidence interval = (14.62,13.78)

So, an interval to estimate the true average tip is  (14.62,13.78).

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URGENT:Two publishers have offered Dr. Spencer Lewis, a noted dietician, a deal on his new book Don't Dig Your Grave with Your Knife and Fork. The first has offered to pay him $50,000 up front and a $3 royalty for every book it sells. The second has offered to pay $20,000 up front and a $5 royalty for every book it sells. Over what range of sales will Dr. Lewis make more from the deal with the second company than he will from the deal with the first?​

Answers

The range of sales Dr. Spencer Lewis must exceed to profit the most from the second deal is 15,000 sales.

How to find the range of sales that favors Dr. more with the second deal?

To find the range that will benefit Dr. Spencer Lewis the most with the second deal, we must perform the following operation:

A. X × 5 + 20,000B. X × 3 + 50,000

We must replace the X with several numbers and buy the result, when the result of operation B exceeds the result of operation A, it means that it will be more profitable.

According to the above, if we replace the X with 15,000, the values will be the same, however, each number that we increase will mean a greater profit in agreement B.

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HELP PLEASE!! x3-3x2-10x+24 by x-2. fill into other equation

Answers

The solution to the division of the given polynomial expression is:

k = (x+3)(x-4)

Division of polynomials

The division of the given polynomial can be determined by using the rational root theorem which is a method that is popularly used in determining the solutions to a polynomial equation.

From the information given:

[tex]\mathbf{\dfrac{x^3 -3x^2 - 10x +24}{x-2}}[/tex]

Using the rational root theorem;

[tex]\mathbf{\dfrac{(x-2) \dfrac{x^3 -3x^2 - 10x +24}{x-2} }{x-2}}[/tex]

[tex]\mathbf{\dfrac{(x-2)(x^2 -x-12)}{x-2} }}[/tex]

Factor: x² - x - 12

[tex]\mathbf{\dfrac{(x-2)(x+3)(x-4)}{x-2} }}[/tex]

Cancel out the common factor (x-2)

[tex]\mathbf{=(x+3)(x-4) }}[/tex]

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Label the vertices and all the elements needed. find x. give reasons!

Answers

The value of x which is the missing angle of the triangles is; x = 30°

How to find the missing angles of a triangle?

We know that Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Thus, if we label the vertex with the unknown angle in the smaller triangle as A, then by the alternate angle theorem, we can say that;

∠A = 2x

Thus, from sum of angles in a triangle equals to 180°, we can say that;

x + 2x + 90 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90/3

x = 30°

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Plss help which is the same value as 20% of 45??

Answers

Answer:

A, B and D

Step-by-step explanation:

Answer:

Answer B , D , E

Step-by-step explanation:

Which set of points includes all of the solutions for y = five halves times x plus three halves?

Answers

The set of points which includes all of the solutions for y in the given equation is the set of all real numbers.

What set of points includes all of the solutions for y?

The equation given in the task content whose solution set is go be determined is;

y = (5/2)x + 3/2.

It therefore follows that the solution set for.tge equation includes all real numbers as the equation is linear.

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log 2x + log x = 2
What is the answer

Answers

Answer:

x=5[tex]\sqrt{2\\[/tex]

Step-by-step explanation:

Answer:

5 sqrt 2

Step-by-step explanation:

Log 2x + log x = 2

log ( 2x * x ) = 2

log (2x^2) = 2

2x^2 = 100

x^2 = 50

x = sqrt (50) =  5 sqrt 2

Select the correct answer.
Which equation represents a line that is perpendicular to line PQ?

A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through two closed points P (negative 8, 7), and Q (negative 4, negative 5).

A. y=3x-2

B. y=1/3x+4

C. y=1/3x-5

D. y=-3x+6

Answers

A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.

Which equation represents a line that is perpendicular to line PQ?

Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.

We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:

[tex]s = \frac{-5 - 7}{-4 - (-8)} = -3[/tex]

A perpendicular line to PQ must have a slope equal to:

[tex]s' = -(\frac{1}{-3} ) = (\frac{1}{3})[/tex]

So we have two correct options (two lines with that slope) which are options B and C.

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Each container will be made of a material that costs $0.0015 per square inch. Explain how to determine the coat of each container. Then find the cost of Container b. Round to the nearest cent.​

Answers

Answer:

Find total surface area. Multiply material unit cost by the total surface area.

Step-by-step explanation:

To find the cost of a container, you must first find the total surface area of the container. Then since you are given the unit cost for the material, you multiply the total surface are by the unit cost ($0.0015/in.²).

3 multiply by what is equal to 30 plus what

Answers

Call the hidden variable here "x"

3x = 30 + x
3x - (30 + x) = 0
3x - 30 - x = 0
2x - 30 = 0
x = 30 : 2 = 15

Recheck : 3 x 15 = 30 + 15 -> 45 = 45 (true)

Please Help me, Asap, want to get as ahead as possible in math before school starts.

Answers

The measure of angle ABD (m∠ABD) is 104°

Calculating the measure of angles

From the question, we are to determine the measure of angle ABD

In the diagram,

∠ABC = ∠ABD + ∠DBC

Thus,

m∠ABC = m∠ABD + m∠DBC

From the given information,

m∠ABC = 140°

m∠DBC = 36°

∴ 140° =  m∠ABD + 36°

m∠ABD = 140° - 36°

m∠ABD = 104°

Hence, the measure of angle ABD (m∠ABD) is 104°

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The width of a straight racetrack is one tenth of the measurement of its length, the perimeter of the track is 132 meters, what are the dimensions of the length and width of the track?

Answers

Step-by-step explanation:

L = 10W

L + W = 132/2 = 66

---

10W + W = 66

W = 6

L = 60

[tex] \sf{\red{Answer}} [/tex]

L = 60 mW = 6 m

[tex] \sf{\purple{Step \: \: By \: \: Step \: \: Explanation}} [/tex]

Perimeter = 2(L + W)

132 = 2(L + L/10)

132 = 2(10L/10 + L/10)

132 = 2(11L/10)

132 : 2 = 11L : 10

66 = 11L : 10

66 : 11 = L : 10

6 = L : 10

L = 6 × 10 = 60 mW = L/10 = 60/10 = 6 m

Does anyone know the answer? Please help.

Answers

Answer:

(0,-2)

Step-by-step explanation:

the answer is (0,-2) because -2 is where the line crosses over the y-axis. If we looked at a graph you would see that the line goes over 0 on the X-axis, which causes the line to touch the y-axis and intercept it at the -2 mark.

An easy way to find the answer for these sorts of questions is to draw out a graph and mark the coordinates on it and draw the line conecting them. Once you've done that you can easily see where the line intercepts on both the y and x axis.

Answer:

(0,-2)

please put brainliest

Which of the following lists of ordered pairs is a function?
OA. (0, 2), (4, 2), (0, -4), (4, -2)
OB. (2, 4), (3, 9), (4, 16), (5, 25)
O C. (1, 1), (2, 3), (1, 5), (4,7)
OD. (2, 4), (-2, 4), (3, 9), (-2,-4)

Answers

Answer:

OB. (2, 4), (3, 9), (4, 16), (5, 25)

Step-by-step explanation:

none of the points in this ordered pair have the same x-pos. In all the other options, at least 2 of the points have the same x-pos, preventing them from being functions. Therefore, OB is the only right answer.

Please mark brainliest!!!!!!!!

please help
I don't know what im supposed to do. ​

Answers

This problem is not a direct question, why is suppose to be asked.

Is this just a general statement or information for a next problem?

Answer:

Step-by-step explanation:

You did not post any question and I just retrieved all possible information from whatever is given.

Solve 2x²+x-4 = 0.
²+1/2
1
2
x² +
23
x + -2
x + 2

Answers

Answer:

[tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx +c = 0[/tex]

Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Given our equation: [tex]2x^2 + x - 4 = 0[/tex]

a = 2b = 1c = -4

Plug in the values into the quadratic formula to solve.

Solve the quadratic[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-1 \pm \sqrt{1^2 - 4(2)(-4)}}{2(2)}[/tex][tex]x = \frac{-1 \pm \sqrt{1 + 32}}{4}[/tex][tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex]

The solution to the quadratic is [tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex].

Consider the function.

Match each transformation of f(x) with its description.

stretches f(x) by a factor
of 4 away from the x-axis

shifts f(x) 4 units down

shifts f(x) 4 units right

compresses f(x) by a factor
of toward the y-axis

Answers

The correct options are:

a) g(x) = 8*x - 6

b) g(x) = 2x - 10

c) g(x) = 2x - 14

d) g(x) = 8x - 24

How to identify each transformation?

Here we have the function:

f(x) = 2x - 6

The proposed transformations are:

a) Stretch by a factor of 4 along the x-axis.

A horizontal stretch of scale factor k is written as:

g(x) = f(x*k).

Then, in this case, we have:

g(x) = 2(x*4) - 6 = 8*x - 6

b) Shift f(x) 4 units down.

A vertical shift of N units is written as:

g(x) = f(x) + N

A shift of 4 units down is written as:

g(x) = f(x) - 4 = 2x - 6 - 4 = 2x - 10

c) Shift f(x) 4 units right.

An horizontal shift of N units is written as:

g(x) = f(x + N).

For a shift of 4 units to the right, we write:

g(x) = f(x - 4) = 2(x - 4) - 6 = 2x - 8 - 6 = 2x - 14

d) A vertical compression of scale factor 1/4.

A vertical compression of scale factor K is written as:

g(x) = f(x)/K

In this case, we will have:

g(x) = f(x)/(1/4) = 4*f(x) = 4*(2x - 6) = 8x - 24

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You are going to paint a six-sector spinner. There are 4 colors to choose from. How many different ways can you paint the spinner if each color can be used more than once and no two adjacent sectors can be the same color?

Answers

Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:

[tex]n_1 = 4, n_2 = n_3 = n_4 = n_5 = 3, n_6 = 2[/tex]

Hence the number of ways is given by:

N = 4 x 3 x 3 x 3 x 3 x 2 = 648.

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SOMEONE, PLEASE ANSWER THIS!

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

6 is added to the product of 7 and a number.

Answers

Answer:

Step-by-step explanation:

Solution

Start with the product

The product is 7*x where x is a number but not specified.

Now add 6

Answer: 7x + 6      

This cannot be simplified any more than what it is now.

Question -:

Represent the following sentences as an algebraic expression:

6 is added to the product of 7 and a number.Explanation -:

Assuming:

Let us assume the number as x.

6 is added to the product of 7 and a number.

Product : 7 × x = 7x

Now we will add 6.

Add : 7x + 6.

Final Answer:

7x + 6.

[tex] \star\tiny\pmb{spbankingandsscseries} \small\star [/tex]

In the following exercises, solve
636. The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of 29.5 liters with 2000 psi, what is the volume if the tank has a 14.7 psi rating? Round to the nearest whole number

Answers

Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.Calculate the volume to the nearest whole number.Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

[tex]$v \propto \frac{1}{p}$[/tex]

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

[tex]$v=\frac{k}{p}$[/tex]

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

[tex]$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$[/tex]

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

[tex]$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$[/tex]

How do I decide if it’s a real solutions or extraneous solutions?

Answers

Step-by-step explanation:

So you can check for extraneous solutions by plugging in the 5 and -2 as x.

Plug 5 in as x

[tex]5=\sqrt{3(5)+10}\\5=\sqrt{15+10}\\5=\sqrt{25}\\5=5[/tex]

I'm not sure if this is exactly considered an extraneous solution, but I'm assuming it is, since technically the radical doesn't have a plus/minus in front of it, so it's the principle square root which means it only outputs the positive values. This would mean that the -2 wouldn't be a solution, since the principle square root doesn't output negative values, so it's a function, since if it outputted 2 values, then it wouldn't be a function by definition.

17. Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively
. a) Find the height of the smallest tank if the larger is 300cm tall .(4 marks)

Answers

Because the tanks are similar in shape we can use scale factors
The scale factor for volume = 512000/1000000 = 0.512
Volumes are a cubic measure
The linear scale factor = cube root(0.512) = 0.8
If the height of the big tank is 300cm then the smaller tank height = 300 x 0.8 = 240cm

The height of the smallest tank if the larger is 300cm tall will be 240cm.

What is the similarity?

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

We can utilize scale factors because the tanks have comparable shapes.

The scale factor for volume will be given as,

The volume of small tank/volume of big tank = 512000/1000000 = 0.512

Since volume, if the cube so,

Scale factor = [tex](0.512)^{1/3}[/tex] = 0.8

With this scale factor the height of the smaller tank = 300 x 0.8 = 240cm

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 GEOMETRY)

In the figure, chords AB and CD intersect at E. If the measure of arc AC is 30 degrees and the m angle DEB=80^o , then find the degree measure of arc DB

Enter just a number for your answer

(Picture is below) thank you!

Answers

Answer: 130

Step-by-step explanation:

Let the measure of arc DB be x.

Then,

[tex]80=\frac{x+30}{2}\\\\160=x+30\\\\x=130[/tex]

If Elon and Jeff work together, they can finish the work in 3 hours. If Jeff works together with Bruce, they can make this work done in 6 hours. Elon and Bruce can finish this work in 4 hours. How much time would it take to finish the work if all three worked together?

Answers

Answer:

It would take 1.5 hours for all three to finish the work if they worked together.

Step-by-step explanation:

Elon and Jeff can complete the work in 3 hours.

Jeff and Bruce can complete the work in 6 hours.

Elon and Bruce can complete the work in 4 hours.

3 + 6 + 4 = 13

13 / 3 = 4.33

4.33 / 3 = 1.44

Please help!! I have been stuck on this question for a while

Answers

Answer:

[tex]180\ in.^2[/tex]

Step-by-step explanation:

The area of a rectangle can is defined as [tex]A = wl[/tex] where w is the width and l is the length. The width in this case is 12 and the length is 15. Also it doesn't really matter what order you put it in. This gives you an area of [tex](15\ in.) (12\ in.) = 180\ in.^2[/tex]

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If your patient/client planned to drink almond milk instead of cows milk, they would be receiving _________ protein per 1 cup serving. Hippocrates, an ancient greek philosopher, is often referred to as the ______________ of medicine. The coordinates of three vertices of a rectangle are (2, -6), (-4, -6) and (2, 1). Find the coordinates of the fourth vertex.(4, 1)(4, -1)(-4, 1)(1, -4) Which best describes the central idea of this paragraph? when she lived in normandy, baissac assumed a different identity in order to complete important work while she lived there. baissacs goal was to get in the way of german troop movement, and she was often successful when she worked with resistance groups. baissac did significant work as a spy when she lived in normandy, sometimes traveling by bicycle to complete her tasks. as a spy in normandy, baissac performed a variety of important and sometimes dangerous tasks in order to get in the way of german troops. Each statement describes a transformation of the graph of . Which statement correctly describes the graph of y = f(x 7) + 3?A. It is the graph of f translated 3 units up and 7 units to the left.B. It is the graph of f translated 7 units down and 3 units to the right.C. It is the graph of f translated 7 units up and 3 units to the right.D. It is the graph of f translated 3 units up and 7 units to the right. Which equation represents the line that is perpendicular to and passes through (-40,20)? I will give Brainliest. Read the excerpt from "Saying 'No' to Homework."Working on homework late at night can disrupt sleep. Sleep is vital for the brain to work well. Students who dont get enough sleep have a hard time remembering what they learned. They also have a hard time paying attention in class. They don't have to lose a great deal of sleep to feel the effects. Studies show that losing small amounts of sleep can have an impact.One study looked at students in grades four and six. The researchers asked the students to change their sleep schedule for three nights. Some students got an extra hour of sleep. The others got one less hour of sleep each night. Then, the researchers tested the students. Students who lost an hour of sleep performed as if they were two grade levels lower than they really were. Other studies have also found that one extra hour of sleep makes a big difference. Giving up sleep to do homework isn't a good trade.Which sentence is the best example of evidence that shows that sleep is more important than homework?A.Working on homework late at night can disrupt sleep.B.Students who dont get enough sleep have a hard time remembering what they learned.C.Students who lost an hour of sleep performed as if they were two grades lower than they really were.D.Giving up sleep to do homework isnt a good trade. imagine that you are journalist who gets an opportunity What is one of the most important differences between correlational and experimental research designs Pleased help aspPlease help aspPlease help asp math!! PLEASE HELP!! what is the angle indicated in the triangle below?? a) 46 degreesb) 65c) 44d) 35e) 55f) 90 4.Find three consecutive integers such that the difference of double the largest number and triple the smallest number is -44. Find the three numbers by setting up an equation. Make sure to define your variables How could we make a pegasus anatomically possible? 1. GivenG(n) = 4n-5H(n) = 2n + 1Find G(H(8)) b.HELPPPP MEEEE PLSSSS AND THANK YOUU In this journal activity, you will write your own historical account of the major events that took place between 1914 and 1950. Use your own words in the clearest way you can. You will be graded primarily on the completeness and clarity of your writing. Terms: total war World War I World War II Directions: 1. First, think of a creative or descriptive name for this time period. For example, you might name the time period before the development of agriculture "Life Before Farming" or "Hunting to Survive." Make this name the title of your journal entry. 2. Write a journal entry that is at least three paragraphs long. Each paragraph should be at least three sentences long. Make sure to also use the terms listed above at least once in your writing. Your journal entry should address each of the following: o Summarize the major turning points or "game changers" of this period. What were the biggest changes in how people lived, what people were able to do, or what people valued and believed? o Identify the major regions of the world in which these changes occurred. o Predict the major impacts of these changes on human history. What impacts might we see in the eras that follow this time period? What impacts can we still see or feel today? Current information for the Healey Company follows: Beginning raw materials inventory $ 15,200 Raw material purchases 60,000 Ending raw materials inventory 16,600 Beginning work in process inventory 22,400 Ending work in process inventory 28,000 Direct labor 42,800 Total factory overhead 30,000 All raw materials used were direct materials. Healey Company's total manufacturing costs for the year are: Which of the following statements describes the attitudes towards slavery during this time. Choose allthat applyEnding slavery because it was morally wrong and dehumanized an entire race of people.Maintaining slavery through a system where slave states didn't outnumber free states.Opposing slavery because enslaved labor gave an advantage to plantation owners.Maintaining slavery in one state but making sure that the rest of the country outlawed it.Removing all indigenous people from lands so that they could be used for coal mining. By what moniker did people call American industrialists, including CorneliusVanderbilt, J.D. Rockefeller, Andrew Carnegie, and J.P. Morgan, who amassed thelargest fortunes in U.S. history?I