Please answer fast!!! will give brainliest!!!
given: m arc PIV = 7/2 m arc PKV Find: m∠VPJ

Please Answer Fast!!! Will Give Brainliest!!!given: M Arc PIV = 7/2 M Arc PKV Find: MVPJ

Answers

Answer 1

Answer:

The measure of angle VPJ is [tex]140\°[/tex]

Step-by-step explanation:

Let

x-----> the measure of arc PIV

y-----> the measure of arc PKV

we know that

The inscribed angle is half that of the arc it comprises.

so

[tex]m<VPJ=\frac{1}{2}(x)[/tex]

[tex]x=3.5y[/tex] -----> equation A

[tex]x+y=360\°[/tex] -----> equation B

substitute equation A in equation B

[tex]3.5y+y=360\°[/tex]

[tex]4.5y=360\°[/tex]

[tex]y=80\°[/tex]

Find the value of x

[tex]x=3.5(80\°)=280\°[/tex]

Find the measure of angle VPJ

[tex]m<VPJ=\frac{1}{2}(280\°)=140\°[/tex]


Related Questions

39,975 + 6.5% tax rate every month

Answers

1014.065 hope this helps

1. Which reason completes the proof below?
Given: BC is tangent to Circle A at D
Prove: AB = AC

Answers

Answer:

(C)

Step-by-step explanation:

Given: BC is tangent to the circle A at D.

To prove: AB is congruent to AC

Proof:

Statements                                                            Reason

1. BC is tangent to the circle A at D.                     Given

2. DB≅DC                                                               Given

3.AD⊥BC               If a line is tangent to a circle then it is perpendicular to the radius at the point of tangency.

4. ∠ADB and ∠ADC are right angles     Definition of perpendicular lines

5. ∠ADB≅∠ADC                                      Right angles are congruent

6. AD≅AD                                                Reflexive property of congruence

7. ΔADB≅ΔADC                                      SAS rule

8. AB≅AC                                                CPCTC

Hence, option (C) is correct.

Tangent to a circle is straight line just touching the circle at one point. The reason to complete the proof is: If a line is tangent to a circle,  then it is perpendicular to the point of tangency

What is tangent to a circle?

A line segment which touches a circle specified to only one point is called a tangent to that circle.


How are radius and tangent to a circle related?

There is a theorem in mathematics that:

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.

For the given case, the missing statement for the proof is:

If a line is tangent to a circle,  then it is perpendicular to the point of tangency(the point on circle where the tangent intersects it).

Hence, the reason to complete the proof is: If a line is tangent to a circle,  then it is perpendicular to the point of tangency


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Can someone please help with this?!! I will mark brainliest

Answers

Answer:

It is parallel

Step-by-step explanation:

See the first equation equals the last equation, I just realized that.

What is the inverse of the function shown in this image?

Answers

Answer:

D

Step-by-step explanation:

1.  Replace "f(x)" with "y:"  y = (x + 1)/x

2.  Interchange x and y:  x = (y + 1)/y

3.  Solve this result for y:                                     1

     xy = y + 1, or xy - y = 1, or y(x -1) = 1, or y = --------

                                                                            x-1

4.  Replace "y" with:

        -1               x

      f     (x) = -----------   This matches answer choice D.

                       x - 1

Answer:

D

Step-by-step explanation:

Can you help with answer this and if there’s work to be shown please let me know. Thank you!

Answers

f(x) = /x - 2/

f(-1) = /-1 - 2/ = /-3/ = 3

f(0) = /0 - 2/ = /-2/ = 2

f(1) = /1 - 2/ = /-1/ = 1

f(2) = /2 - 2/ = /0/ = 0

A taut clothesline extends between the points (–4.2, –6.4, 4.5) and (7.1, 2.2, 5.8), where the coordinates are in units of feet. What is the length of the clothesline?

Answers

Answer:

17.54 ft

Step-by-step explanation:

Moving along the line from (–4.2, –6.4, 4.5) to (7.1, 2.2, 5.8), x increases by 11.3, y by 8.6 and z by 10.3.

Applying the Pythagorean Theorem twice, we get

(length of clothesline) = √( 11.3² + 8.6² + 10.3²), or 17.54 ft.

In trei rezervoare sunt 1672 l de benzina dacã in primele doua rezervoare sunt 123100 cl iar in ultimele doua sunt 15 hl sa se afle câ?i l sunt in fiecare rezervor

Answers

the answer is

615500

hope this helps

Which best describes the transformation from the graph of f(x) = x2 to the graph of f(x) = (x – 3)2 – 1? left 3 units, down 1 unit left 3 units, up 1 unit right 3 units, down 1 unit right 3 units, up 1 unit

Answers

Answer:

The best describes the transformation is right 3 units, down 1 unit ⇒ 3rd answer

Step-by-step explanation:

* Lets talk about some transformation

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

∵ f(x) = x²

- The change from x² to (x - 3)² means the graph shifted 3 units

  to the right

- The value -1 means the graph shifted down 1 unit

∴ The graph of f(x) = x² is shifted 3 units to the right and 1 unit

   down and the resulting function is f(x) = (x - 3)² - 1

* The best describes the transformation is right 3 units, down 1 unit

Answer:

C

Step-by-step explanation:

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.

What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is −1?

Answers

Answer:  c) 3.9

Step-by-step explanation:

The mean is 95 so it has a z-score of 0

The standard deviation is 3.9 so a z-score of -1 is a velocity of 95 - 3.9

So, the difference in the their velocities is: 3.9

What are the degree and leading coefficient of the polynomial? 9y ² + 8 – 18y ⁹ + 7y

Degree:
Leading Coefficient:

Answers

answer: y²-y+9

coefficient is 2

degree is 1

Determine the length (to 1 decimal place) of the arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm.

13.3 cm

33.6 cm

148.0 cm

16.8 cm

Answers

Answer:

33.6 cm

Step-by-step explanation:

We can use the formula for arc length to solve this.

[tex]s=r\theta[/tex]

Where

s is the arc length

r is the radius

[tex]\theta[/tex] is the angle subtended by the arc (in radians)

The problem gives us theta = 2.8 radians and radius of the circle as 12 cm. We plug these into the formula and figure out the arc length (to 1 decimal place):

[tex]s=r\theta\\s=(12)(2.8)\\s=33.6[/tex]

2nd answer choice is right.

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The weights of bags of ready-to-eat salad are normally distributed with a mean of 290 grams and a standard deviation of 10 grams.

What percent of the bags weigh less than 280 grams?

Answers

Answer:  b) 16%

Step-by-step explanation:

The mean is 290 so on a normal bell curve that would be a z-score of 0.

The standard deviation is 10 so 290 - 10 = 280 is a z-score of -1.

A z-score from the left to -1 is 15.9%

2 blue shirts
1 white shirt
1 red shirt
2 black slacks
1 white pair of pants
1 pair of jeans
1 pair of sandals
2 pairs of running shoes

Alex is on vacation and has the clothes listed above with her. She is trying to pick out an outfit. What is the probability she chooses a red shirt and running shoes?


A) 0.02
B) 0.17
C) 0.84
D) 0.92

Answers

Answer:

its b

Step-by-step explanation:

Answer:

B) 0.17

Step-by-step explanation:

Help Picture below ..........

Answers

Answer:

A

Step-by-step explanation:

Multiply them according to the problem.

[tex]6x+2y=6 \\ \\ -3(6x+2y)=(6)*-3 \\ \\ -18x-6y=-18 \\ \\ \\ 7x+3y=9 \\ \\ 2(7x+3y)=(9)*2 \\ \\ 14x+6y=18[/tex]

As you can see, the only terms in the two equations that can cancel out are [tex]-6y[/tex] and [tex]6y[/tex].

Which statements are true?

If all angles of a quadrilateral are right angles, then the quadrilateral must be a square.

Two shapes are similar if and only if their corresponding angles are equal.

All quadrilaterals have four sides, and the sum of all angles in a quadrilateral is 180°.

If the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus.

There are three vertices in a triangle, or there are four sides in a pentagon.

Any two triangles are either similar or congruent.

Answers

Answer:

The statement which is true is, If the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus.

Step-by-step explanation:

In a rhombus, the diagonals bisect at perpendicular angles to form 4 triangles.Because the diagonals bisect at right angles, then it is possible to prove that the four small formed triangles are similar using the SAS theorem: two triangles are equal if two sides are equal and the angles between the two sides are equal.In your case, the sides are that on the base and that forming a height of the triangles with both having angle 90° between the sides.So you see if these the two are congruent, the hypotenuse of these triangles are congruent, making this quadrilateral a rhombus.

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PLZ HELP BRAINLIEST and 60 POINTS


Answers

Answer:

c d  a  b d

Step-by-step explanation:

Answer:

C, D, A, B, and D

Step-by-step explanation:

Please help me with this....

Answers

Answer:

[tex]3\sqrt{13}[/tex]

Step-by-step explanation:

Using the Theorem of the side of a triangle:

[tex]x^2 = 4 * (4 + 9) = 42\\x = \sqrt{42}[/tex]

And using the Height Theorem:

y = [tex]\sqrt{4 \cdot 9}  = \sqrt{36} = 6[/tex]

And by the Pythagorean Therorem:

z = [tex]\sqrt{6^2 + 9^2} = \sqrt{117} = 3\sqrt{13}[/tex]

Greg drove 522 miles in 9 hours. At the same rate, how long would it take him to drive 754 miles?

Answers

Answer:

It would take 13 hours

Step-by-step explanation:

522/9 = 58

754/58= 13

The length of a rectangle is 4 times its width. The rectangle's width is 8 m. What is the area of the rectangle? Enter your answer in the box. _______m2

Answers

Answer:

256 m²

Step-by-step explanation:

If the length of a rectangle is 4 times its width, and you know the width is 8, that must mean the length is 32. Now you know the width and the length, multiply those two values to get your area.

Josh leans the ladder against a side of her house which is 10 feet. If the base of the latter is 3 feet away from the house, how tall is the ladder? ( use Pythagorean theorem )

Answers

Answer:

[tex]\sqrt{109}[/tex]

Step-by-step explanation:

The side of the house is a side of the right triangle.

The ladder is 3 feet away, so it forms a triangle with sides 3, 10, x.

We're trying to find the hypotenuse, which is given by Pythagoras' Theorem:

[tex]a^2 + b^2 = c^2\\3^2 + 10^2 = x^2\\109 = x^2\\x = \sqrt{109}[/tex]

Based on a poll of 200 citizens, a community action group claims that 40% of the population is in favor of a curfew for children under 18 on weekday nights. A local parent group claims that the poll is not valid and that only 22% of the citizens favor a curfew. To determine whether this sample supports the population proportion of 0.40, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.22. The minimum sample proportion from the simulation is 0.15, and the maximum sample proportion from the simulation is 0.27. The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion?
(0.18, 0.26)
(0.14, 0.30)
(0.06, 0.38)
(0.16, 0.28)

Answers

Final answer:

The interval estimate of the true population proportion is (0.16, 0.28) that is option D is correct.

Explanation:

The interval estimate of the true population proportion is (0.16, 0.28).

A simulation of 100 trials with a sample size of 50 was conducted to determine whether the sample supports the population proportion of 0.40. The minimum sample proportion from the simulation is 0.15 and the maximum sample proportion is 0.27. Based on this simulation, the interval estimate for the true population proportion can be calculated.

Interval estimate formula: (point estimate - margin of error, point estimate + margin of error)

Point estimate = 0.22

Margin of error = (maximum sample proportion - minimum sample proportion) / 2 = (0.27 - 0.15) / 2 = 0.06

Interval estimate = (0.22 - 0.06, 0.22 + 0.06) = (0.16, 0.28)

The correct interval estimate of the true population proportion is (0.14, 0.30).

To determine the interval estimate of the true population proportion, we use the following formula for a 95% confidence interval:

[tex]\[ \text{Confidence Interval} = \text{Point Estimate} \pm (Z_{\alpha/2} \times \text{Standard Error}) \][/tex]

where[tex]\( Z_{\alpha/2} \)[/tex] is the Z-score corresponding to the desired confidence level (for a 95% confidence interval, [tex]\( Z_{\alpha/2} \)[/tex] is approximately 1.96), and the Standard Error (SE) is calculated using the formula:

[tex]\[ \text{SE} = \sqrt{\frac{\text{Point Estimate} \times (1 - \text{Point Estimate})}{\text{Sample Size}}} \][/tex]

Given the point estimate from the simulation as 0.22 and the sample size as 50, we calculate the standard error as follows:

[tex]\[ \text{SE} = \sqrt{\frac{0.22 \times (1 - 0.22)}{50}} \] \[ \text{SE} = \sqrt{\frac{0.22 \times 0.78}{50}} \] \[ \text{SE} = \sqrt{\frac{0.1716}{50}} \] \[ \text{SE} = \sqrt{0.003432} \] \[ \text{SE} \approx 0.0586 \][/tex]

Now, we calculate the margin of error (ME):

[tex]\[ \text{ME} = Z_{\alpha/2} \times \text{SE} \] \[ \text{ME} = 1.96 \times 0.0586 \] \[ \text{ME} \approx 0.1146 \][/tex]

The margin of error is approximately 0.1146. Therefore, the 95% confidence interval for the population proportion is:

[tex]\[ \text{Point Estimate} \pm \text{ME} \] \[ 0.22 \pm 0.1146 \][/tex]

Lower bound:

[tex]\[ 0.22 - 0.1146 \approx 0.1054 \][/tex]

Upper bound:

[tex]\[ 0.22 + 0.1146 \approx 0.3346 \][/tex]

However, the simulation results provide a range for the sample proportion from 0.15 to 0.27. Therefore, the interval estimate should be adjusted to reflect this range while still incorporating the margin of error.

Lower bound (adjusted for simulation range):

[tex]\[ 0.15 - 0.1146 \approx 0.0354 \][/tex]

Upper bound (adjusted for simulation range):

[tex]\[ 0.27 + 0.1146 \approx 0.3846 \][/tex]

Since the lower bound of the confidence interval cannot be less than the minimum sample proportion from the simulation (0.15), and the upper bound cannot exceed the maximum sample proportion from the simulation (0.27), we adjust the interval to:

Lower bound:

0.15

Upper bound:

0.27

Now, we apply the margin of error to these bounds:

Lower bound with ME:

[tex]\[ 0.15 - 0.1146 \approx 0.0354 \][/tex]

Since the lower bound cannot be less than 0, we round up to the nearest reasonable value, which is 0.14.

Upper bound with ME:

[tex]\[ 0.27 + 0.1146 \approx 0.3846 \][/tex]

Since the upper bound cannot exceed 1, we round down to the nearest reasonable value, which is 0.30.

Therefore, the interval estimate of the true population proportion, taking into account the simulation results and the margin of error, is (0.14, 0.30).

PLEASE HELP ME. I NEED YOUR HELP.
Emma's yard needs some work, so she decides to hire a landscaper. The Garden Expert charges a $50 consultation fee plus $36 per hour for the actual work. After working for x hours Emma owed The Garden Expert $212.

Which equation symbolizes the above situation, and how many hours did the landscapers work?

A) $50 - $36x = $212; 4 hours
B) $50 + $36x = $212; 4.5 hours
C ) $50x + $36 = $212; 3.52 hours
D) $212 + $50 = $36x; 7.28 hours

Answers

B) 50+36×=$212 ; 4.5. That is the answer.

The equation symbolizes the above situation is $50 + $36x = $212 and the landscapers work at 4.5 hours

Let's use "x" to represent the number of hours The Garden Expert worked in Emma's yard. We know that the landscaper charges $36 per hour for the actual work and a $50 consultation fee. Therefore, the total cost "C" for the service can be represented as:

C = 36x + 50

Emma owes the landscaper $212, so we can set up the equation as follows:

212 = 36x + 50

Now, let's solve for "x":

First, subtract $50 from both sides to isolate 36x:

212 - 50 = 36x

162 = 36x

Next, divide both sides by 36 to solve for x:

x = 162 / 36

x = 4.5

Hence the correct option is (b).

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(99 POINTS) Please help ASAP! What is a net? What can we use a net for? How can a net be used to find surface area?

Answers

A net can be used to find the area of a specific side or the entire surface area. It can also help to find the perimeter. To find the surface area with a net, solve for the area of each shape in the net and add them together to get the total area (surface area).

Hope this helps!

A flat three dimensional solid like a cube, a prism or a pyramid. When you cut out the "net", fold it and glue it together you can see what the three dimensional shape looks like. (It can be used in math)Draw a net of the polyhedron. Calculate the area of each face. Add up the area of all the faces.

Name four coplanar points

Answers

Four possible coplanar points based on the image are B,E,D; Q,B,E; D,Q,B; and, E,D,Q.

What is the meaning of coplanar?

This word refers to points that share the same plane. Remember a plane is a surface that goes in one direction.

What are some coplanar points?

In the image, all points over the surface are coplanar. Based on this, some coplanar points are:

B,E,DD,Q,BQ,B,EE,D,Q

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Find the exact value of the following expression (without using a calculator): tan(Sin^-1 x/2)

Answers

ANSWER

[tex]\tan(\sin^{ - 1}( \frac{x}{2} )) = \frac{x}{ \sqrt{4 - {x}^{2} } } \: \:where \: \: x \ne \pm2[/tex]

EXPLANATION

We want to find the exact value of

[tex] \tan( \sin^{ - 1}( \frac{x}{2} ) ) [/tex]

Let

[tex]y = \sin^{ - 1}( \frac{x}{2} )[/tex]

This implies that

[tex] \sin(y) = \frac{x}{2} [/tex]

This implies that,

The opposite is x units and the hypotenuse is 2 units.

The adjacent side is found using Pythagoras Theorem.

[tex] {a}^{2} + {x}^{2} = {2}^{2} [/tex]

[tex]{a}^{2} + {x}^{2} = 4[/tex]

[tex]{a}^{2} = 4 - {x}^{2}[/tex]

[tex]a= \sqrt{4 - {x}^{2}} [/tex]

This implies that,

[tex] \tan(y) = \frac{opposite}{adjacent} [/tex]

[tex]\tan(y) = \frac{x}{ \sqrt{4 - {x}^{2} } } [/tex]

But

[tex]y = \sin^{ - 1}( \frac{x}{2} )[/tex]

This implies that,

[tex]\tan(\sin^{ - 1}( \frac{x}{2} )) = \frac{x}{ \sqrt{4 - {x}^{2} } } \: \:where \: \: x \ne \pm2[/tex]

What is the component form of the vector shown in the graph?

Answers

Answer:

  C)  (-3, 4)

Step-by-step explanation:

Subtract the tail from the head:

  (-2, 3) -(1, -1) = (-3, 4)

The component form is (-3, 4).

The component form of the vector from (1, -1) to (-2, 3) is (-3, 4), as it reflects the changes in the x and y directions.

The correct answer is option C.

To find the component form of the vector from (1, -1) to (-2, 3), we need to calculate the change in the x-direction and the change in the y-direction. The component form of a vector is typically written as (Δx, Δy), where Δx represents the change in the x-direction, and Δy represents the change in the y-direction.

In this case, the initial point is (1, -1), and the terminal point is (-2, 3). To find Δx and Δy, we subtract the x-coordinates and the y-coordinates, respectively:

Δx = x_terminal - x_initial = (-2) - 1 = -3

Δy = y_terminal - y_initial = 3 - (-1) = 4

So, the component form of the vector is (-3, 4).

Among the answer choices:

A. (1, 0) is not the correct component form.

B. (-5, 2) is not the correct component form.

C. (-3, 4) is the correct component form.

D. (-1, 2) is not the correct component form.

The correct answer is C, (-3, 4), which represents the change in the x-direction and the change in the y-direction as you move from (1, -1) to (-2, 3) on the graph.

Therefore, from the given options the correct one is C.

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Answers

Answer:

[tex]\boxed{ \text{8 p.m.}}[/tex]

Step-by-step explanation:

First, we must plot the graph of your system of equations (see below).

The two lines cross at (12, 360).

Thus, machine A had been going for 12 h. It started at 8 a.m., so it ended at 8 p.m.

Both machines had made 360 ft of wire by [tex]\boxed{ \text{8 p.m.}}[/tex]

Check:

360 = 30 × 12     360 = 40(12 – 3)

360 = 360          360 = 40 × 9

                          360 = 360

OK.

Volume of cylinder help??? PLEASE HURRY EXAMPLES DOWN BELOW WILL VOTE BRAINLIEST VERY URGENT

Answers

Answer:

Here I leave an example that you will understand more easily  so that you understand the process better but it is easy.

First you must substitute the values ​​for the letters, and then you multiply it so basic remember to change the Pi by 3.14

Anthony spend $34.56 at the shopping mall. Brad was also shopping at the mall with Anthony. The value of the digit 6 in the amount of money he spent is 100 times more than the value of the digit 6 in the amount Anthony spent. Did Brad spend $56.71 or $57.61? Show all work. Explain how you know which number is correct

Answers

Answer:

$56.71

Step-by-step explanation:

with Anthony's spendings of $34.56, the 6 is in the hundredth place. If the value of the six is 100 times more in Brad's spending, the six would be in the ones place. You would move the six over two place values (because of 100) and end up with 6 dollars. If it was 10 times more, than you would only move one place value over and it would be 57.61.

Answer:

$56.71

Step-by-step explanation:

The value of the 6 in which Anthony spent is the hundredth value, or 0.06

Brad spent 100x more than the value of the digit 6 in which Anthony spent. Multiply 0.06 with 100: 100 x 0.06 = 6

6 is in the ones place value, & $56.71 is the only answer choice with 6 in the ones place value, so it is your answer.

~

The scatter plot and table show the number of grapes and blueberries in 10 fruit baskets.

When you use the two data points closest to the line, which is the equation of the regression line?

A.
y = 2/3x + 1/3

B.
y = 2/3x - 8/3

C.
y = 7/24x + 7/3

D.
y=7/24x + 13/6

Answers

c is the correct answer i believe

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What type of leader was Jefferson Davis?A. Strong and cooperative B. Harsh but intelligent C. Argumentative and weak D. Strong and victorious I think C !! Am I right ? Find the measure of AED Which sentence best establishes visual details? The paintings were on display for seven months at the local museum. A local artist created the paintings to celebrate the towns history. The museum charges five dollars for adult admission to the historic display. Each painting is a towering portrait of a town founder depicted in bold acrylic. Plagiarism does not occur when you cite and reference all of your sources.Question 3 options:a) true, you have given credit to sources.b) true, providing citations and a works cited page protects the writer from plagiarismc) trued) false, this depends on what percentage of the content has been pulled from sources. If the paper shows lack of originality, then this can be considered plagiarism. Determine the expected genotypes and phenotypes for the Punnett square 14. What is the value of 3A + 6|C|? A. 27 B. 63 C. 9 D. 63 Mike is putting up a snow fence on the west side of his property. He needs a post at each end to hold the fence up and would like to put a post in every 8 ft. If he uses 25 post for his fence, his wide is the west side of his property ? what stories do some of the romanesque metalwoek pieces tell King uses repetition to emphasize the need to Which sentence is punctuated correctly? A) The two authors are in awe of nature their experiences reveal that time in nature can change people. B) The two authors are in awe of nature, their experiences reveal that time in nature can change people. C) The two authors are in awe of nature; their experiences reveal that time in nature can change people. D) The two authors are in awe of nature; their experiences, reveal that time in nature can change people. The muscles of the body are part of the muscular system but would not operate without the _______ system providing the impulses that cause the muscles to act. solve this equation for X: 0.5(5-7X)= 8- (4X+ 6) The probability that traffic lights on a certain road will be green is 0.6. When a driver on that road approaches two traffic lights in a row, X is the number of traffic lights that are green. What is P(X=1)? Enter your answer, as a decimal, in the box. P(X=1) = In what two ways did Mao Zedong impose communism in China through the Cultural Revolution? Help please! And hurry!What is the best definition of a dynamic character?A. One of the most important characters in the story on whom the plot is centeredB. A character that does not change, despite the event of the storyC. A character who undergoes an internal change over the course of the storyD. Characters who do not play a pivotal role in the plot but still participate in the events of the story.WILL MARK BRAINLIEST PLZ HELP AND HURRY! A cashier gives one person a $5 bill and 15 $1 bills in exchange for a $20 bill. He gives a second person a $10 bill, a $5 bill, and five $1 bills in exchange for a $20 bill. Which characteristic of money does this illustrate? *divisibilityuniformitydurabilityportabilityWhat is an interest rate? *a service provided by a retail storethe price to borrow or save moneya required insurance feea loan add-onWhich of the following can trigger inflation? *The government spends as much money as it makes.The government doesnt print enough moneyThe government prints too much money.The government continues to print extra money at the same rate of speed.If interest rates begin to drop over time for car loans, what would you assume about the demand for purchasing a car? *That there has been a decrease in the demand for carsThat there has been an increase in the demand for carsThat there has been a decrease in the availability of carsThat there has been an decrease in car insuranceMaria and Thomas were hired as customer service representatives the same week. Theyve now been at the job for seven months. Maria consistently gets positive feedback on her calls, and her call volume is 30% higher than Thomas. Thomas has been given good feedback for the most part, though some customers have said he could be more helpful. Neither worker has management experience, though Maria hopes she wont be on the phones for more than another year.What is the most likely event that will take place in this situation? *Thomas will be given a bonus for always getting good feedback from his callers.Thomas will be asked to leave the company.Maria will be given a raise, but Thomas will not.Maria will be asked to leave the company.What of the following is the best description for payment for labor? *compound interestprincipalinterestwageWhich of these actions is an entrepreneur most likely to take? *begin working for a large corporationignore ways to solve economic problemsdevelop and market a new productspecialize in one taskEntrepreneurs take risks when they start their own businesses. Based on what you learned why would this be true, financially speaking? *entrepreneurs risk going bankrupt trying to meet their businesss costsentrepreneurs have to consider whether to maintain their current employerentrepreneurs are rarely willing to attempt to run a new businessentrepreneurs are unmotivated to solve economic issues with their businessCarrie does not work as quickly as her coworkers. She knows that it is due to her lack of experience with newer computer programs. She is barely keeping up with the workload. She has to figure something out to be more efficient at her job.How can Carrie's productivity at her work be improved using human capital? *Carrie could ask her employer for a leave of absenceCarrie could take a course on the computer program that her job usesCarrie could leave this position and look for a new job.Carrie could try to start her own business independently. The second one please Picture below, help fast please! Find the slope of the straight line that passes through (2, 4) and (3, 5) please try to make the answer short if you can! && its worth ten points!