A television production company charges a basic fee of $4000 and then $2000 per hour when filming a commercial.
A. Write an equation in slope-intercept form relating the basic fee and per-hour charge.
B. Graph your equation
C. Use your graph to find the production costs if 4 hours of filming were needed.
Please help me! I don't understand anything that i am learning right now and its all just confusing

Answers

Answer 1

a. f=2000h+4000
b. graphing
c. $12,000

Hope this helped☺☺

Answer 2

The equation in slope - intercept form is as - y[h] = 2000h + 4000 and for 4 hours of filming, the production cost would be $12000.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a television production company charges a basic fee of $4000 and then $2000 per hour when filming a commercial.

Assume that the number of hours required for filming the commercial be [h]. Then, we can write, the equation as follows -

y[h] = 2000h + 4000

The graph of the equation is attached with the answer.

For 4 hours of filming, the production cost would be -

y[4] = 2000 x 4 + 4000 = 8000 + 4000 = 12000

Therefore, the equation in slope - intercept form is as - y[h] = 2000h + 4000 and for 4 hours of filming, the production cost would be $12000.

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Related Questions

Factor completely x2 - 8x + 16

A. (x+4)(x+4)
B. (x-4)(x-4)
C. (x+4)(x-4)
D. (x-2)(x-8)

Answers

B (x-4)(x-4)

When you take -4+-4, you will get -8 and when you multiply -4 x -4, you will get 16

Please help will give Brainliest!! 1.Find the length of line segment AB when A=(2, 0) and B=(2, 6)
2.Find the length of CD: C(12, -10) and D(0, -6)

3.Find the length of EF: E(-3, 2) and F(6, 2)

Answers

To find the distance you can use the formula [tex] \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}} [/tex]

Try to work it out but if you still need help then ill be be happy to do so :)

PLEASE HELP ASAAAAPPPPPP

Answers

the correct answer is A

the answer is A hope it helps

AC is tangent to circle O at A. If mBY =24, what is m

Answers

the correct question in the attached figure

we know that
the inscribed angle measures half of the arc it comprises.
then
m∠YAB=(1/2)*m∠BY-------------> m∠YAB=(1/2)*24°=12°
m∠YAC=90°-m∠YAB=90°-12°=78°

the answer is the option C) 78°

For which data representation is the median the better measure of center

Answers

Answer: The second graph

In all but the 3 graphs, the data is perfectly symmetrical. This means that the mean and the median would be the same.

However, in the second graph the data is skewed to the right. This means that the mean would also be skewed to the right due to the larger scores there. Using the median in this case would give a clearer picture of the data.

What is the correct definition of the third quartile of a data set?
A. The third quartile is all the numbers of the data set added together and divided by 3. B. The third quartile is the difference between the maximum and median. C. The third quartile is the median of the upper half of data in the data set. D. The third quartile is the mode of the upper half of data in the data set.

Answers

we know that

The third quartile (also called the upper quartile) has 75 percent of the data below it and the top 25 percent of the data above it. The third quartile is the same as the median of the part of the data which is greater than the median.

therefore

the answer is the option
C.) The third quartile is the median of the upper half of data in the data set.

Answer:

Option: C is the correct answer.

C. The third quartile is the median of the upper half of data in the data set.

Step-by-step explanation:

We know that our data is divided into three quartiles:

First quartile or lower quartile--

It is the median of the lower set of the data.

Middle quartile or Median--

Median is the central tendency of the data and it always exist in the middle of the data set.

Third quartile or upper quartile--

It is obtained by finding the median of the upper set of the data.

Hence, the answer is: Option: C

Rules that govern the ways that logarithms are simplified and combined are going to be very similar to simplifying and combining rules for what other family of functions?

Exponential
Linear
Rational
Polynomial

Answers

They are going to be very similar to rules governing exponential functions. This is due to the fact that logarithms in essence "cancel" exponents.

Rules that govern the ways that logarithms are simplified and combined are going to be very similar to simplifying and combining rules for the exponential family of function.

This comes from the definition of logarithm itself which says that a logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Let us illustrate this by way of an example. We know that 100 can be represented as [tex] 10^2 [/tex]. Here 10 is the base, 2 is the power and 100 is the given number. Therefore,

[tex] 10^2=100 [/tex]

Likewise, we can represent 1000 as [tex] 1000=10^3 [/tex]

Now, if we multiply [tex] 10^2 [/tex] and [tex] 10^3 [/tex] we will get: [tex] 10^2\times 10^3=10^{2+3}=10^5 [/tex]. We added the powers. Therefore, the logarithm of [tex] 10^5 [/tex] to the base 10 is 5.

Let us see if we will get the same result by using the rules of logarithms.

[tex] log(10^2\times 10^3)=log(10^2)+log(10^3)=2log(10)+3log(10)=2+3=5 [/tex]

As we can see we got the same result by using the logarithm and the exponential rule, thus, verifying our answer. Similar results can be obtained for other operations of the logarithmic rule.

The following table gives the science scores and times spent studying for 10 students:
Name Scores (%) Time Spent
Studying (hrs)
Angela 90 4
Brad 70 2
Curt 80 3
Dozer 60 1
Enda 50 1
Frank 40 2
Gill 100 4
Hailey 100 3
Intra 50 1
John 80 3
Describe the correlation between the score and time spent studying.

Answers

There appears to be a positive correlation between the number of hour spent studydng and the score on the test.

When identifying the independent and dependent quantities, we think about what would cause the other to change. The score on the test would not cause the number of hours spent studying to change; rather, the number of hours spent studying would cause the score to change. This means that the number of hours studying would be the independent quantity and the score would be the dependent quantity.

Plotting the graph with the time studying on the x-axis (independent) and the score on the y-axis (dependent) gives you the graph shown. You can see in the image that there seems to be a positive correlation; the data seem to generally be heading upward.

As per the table, the given science scores and time data for studying about 10 hours are given.

A positive correlation can be seen between the number of hours spent studying and the scores. This states that the no. of hours of studying could be on the independent and the score would be the dependent quantity. When on the graph with the time studying on the x-axis and the y-axis gives you the graph the line seems to be going up hence a positive correlation.

Learn more about the gives the science scores and times spent studying.

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What is the maximum number of real zeros that a function with degree 5?

Answers

5 for example
y = (x - 22)(x - 1)(x + 1)(x - 2)(x+2)

32 to 28 is what percentage of what change an increase or decrease

Answers

im not sure but i think its decreased by 12,5%

PLEASE HELP ME ON THIS

QUICKLY!!!!!!!!!!!!!!!!!

~BRAINLIEST AVAILABLE

Answers

First off, we can rule out that this is not an arithmetic sequence, as the y values do not have a common difference.
Next, let's look at the y values again, and test out the common ratios given. First, let's use 0.6. If it's a common ratio of 5, 3, 1.8, and 1.08, then we can find that out by multiplying it by 5 first.
5 x 0.6 is 3.
Then, 3 x 0.6 is 1.8.
Finally, 1.8 x 0.6 is 1.08.
Therefore, B is correct. The table represents a geometric sequence because the successive y-values have a common ratio of 0.6, since multiplying the values by 0.6 equals the next value down.

Rotate this image 90 clockwise around the point (-1 1 )

Answers

To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)

In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)

Answer: You didn't put options A, B, C, OR D

no picture either

Step-by-step explanation:

The mean of the data set is 18 what’s the missing number 21,11,blank,27,22,13,16

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The sum of the 7 numbers needs to be 7·18 = 126.

Then the missing number is ...

126 -21 -11 -27 -22 -13 -16 = 16

Does anyone know what the system of equations for this would be?

Answers

a + b = 10 pounds
rewrie as:
a = 10 pounds - b

0.75a + 0.50 b = $6.00
replace a with the above equation:

0.75(10-b) +0.50b = 6.00

distribute the(10-b):

7.50 - 0.75b + 0.50b = 6.00

combine like terms:

7.50-0.25b = 6.00

subtract 7.50 from each side:

-0.25b = -1.50

divide both sides by 0.25 to find b
b = -1.50 / -0.25
b = 6

she bought 6 pounds of bananas and 4 pounds of apples

What is the vertex of the graph of y = x2 + 4x?
(–2, –12)
(–2, –8)
(–2, –6)
(–2, –4)

Answers

the answer is (-2,-4)

Answer:

(-2, -4)

Step-by-step explanation:

Let's remember how to calculate the vertex of a parabola:

If we have the equation of the parabola given in the form y = ax^2 + bx + c, the x-coordinate of the vertex is x = -b/2a. For the y-coordinate we just replace the x of the equation with -b/2a and do the calculation.

In this case, a = 1, b = 4, c = 0.

The x-coordinate of the vertex is x = -4/2*1 = -2

The y-coordinate is y = (-2) ^2 + 4*(-2) = 4 - 8 = -4

Therefore, the vertex is (-2, -4)

Please help ASAP!! Super appreciated!!! <3

Answers

The data is not linear. From (3, 1) to (7, 2), we add 4 to the x-value and add 1 to the y-value. This pattern continues for a little while, however, from (11, 3) to (18, 5), we add only 7 to the x-value even though we added 2 to the y-value. Given this information, we can determine that this is not linear data.

15. The following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. Which statement also includes the correct justification?

(A) The function has a maximum at x=5 because f'(5)=0.
(B) The function has a maximum at x=5 because f'(x)<0 for x<5 and f'(x)>0 for x>5.
(C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal.
(D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3.
(E) The function has a minimum at x=3 because f"(3)<0.,

Answers

(D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3. Let's look at the available options and see why the justification is either correct or incorrect. (A) The function has a maximum at x=5 because f'(5)=0. * We've been told that the first derivative f'(x) is zero at x=5. That means that there's a possibility of f(5) being either a local maximum or a local minimum. But that's not a guarantee of either happening since it's possible for the function to simply have a slope of 0 for a brief instant while the function either increases or decreases. In any case, the fact that the first derivative is 0 is a necessary, but not sufficient condition for a local maximum to occur at that point. So this is a bad choice. (B) The function has a maximum at x=5 because f'(x)<0 for x<5 and f'(x)>0 for x>5. * Let's look at the values. We've been told that f'(x) < 0 for x<5. That means that the value of the function is decreasing since the slope is negative. And for f'(x) > 0 for x > 5 means that the slope then increases. That would indicate that f(5) is a local minimum, not a local maximum. So this is also a bad choice. (C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal. * Having the slope being zero at a point means that one of 3 things is happening at that point. 1. The point is a local minimum, 2. The point is a local maximum. 3. The point is an inflection point. Since there's multiple possibilities, that means we can't know that the actual situation is one of the point being a local minimum without more information. So this too is a bad choice. (D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3. * Since the slope of f(x) is negative for x < 3, that means that the value is decreasing over that range. And then the slope becomes positive for x>3, so the value is increasing. Therefore the local minimum value happens at x=3, which agrees with the statement. So this is the correct choice. (E) The function has a minimum at x=3 because f"(3)<0., * OK, we've been given the sign of the second derivative. Since it's negative, that indicates that the value of the first derivative is decreasing. But it doesn't give us any information about the first derivative having a value of 0, so we don't know if there's anything special about f(3). So this is a bad choice.

Can someone please help me out on this?

Answers

(Y>x/3+0) - I think the answer B

I hope it can help you.

Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He found a plane with an incline of 12 degrees that he could climb until he could get to an altitude of 100 m. How far should Galileo walk up the inclined plane? Round your final answer to the nearest hundredth.

Answers

For this case what you have is the same as a rectangle triangle where you have as data the degree of inclination of the hypotenuse with respect to the base and the height of the triangle.
We have to find the value of the hypotenuse.
For this we use the following trigonometric relationship:
senx = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse.
Substituting the values we have:
sen (12) = 100 / h
We cleared h:
h = 100 / sin (12)
h = 480.97 m
Answer:
Galileo should walk 480.97 m up the inclined plane

Galileo walk 480.97 meters up the inclined plane if Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have:

Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters.

Let's suppose Galileo walked x meters up the inclined plane.

The plane with an inclined a 12°

As we can see in the right angle triangle the sin ratio:

[tex]\rm sin24\° = \frac{100}{x}[/tex]

[tex]\rm x = \frac{100}{sin24\°}[/tex]

x = 480.97 meters (Sin12° = 0.20791)

Thus, Galileo walk 480.97 meters up the inclined plane if Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.

Know more about trigonometry here:

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Your school drama club is putting on a play and hopes to raise $600 from ticket sales. They sell adult tickets for $8 each and student tickets for $5 each. Let x represent the number of adult tickets and y represent the number of student tickets. The equation to represent the number of tickets sold to reach their goal, 8x+ 5y = 600, is graphed below. If 40 adult tickets are sold, how many student tickets must be sold to reach their goal?

Diagram can be shown here:
https://static.k12.com/eli/bb/343/3_23939/2_15013_4_23943/d7066d09bfa7bf4e8df2b2c0b508a3e8ba21c76d/media/b1cd8381087979f1dffbcd6f3efef158a61fbd57/mediaasset_649354_1.gif

Answers

8x40=320 +280=600 5x50=250 +5x6=30 320+250+30+600 so they will have to sell 40 adult tickets and 256 student tickets to accomplish their goal

A grocery store sells chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper? A. $0.17 B. $1.70 C. $0.07 D. $1.07

Answers

The answer is A. $0.17 .

Instructions:Select the correct answer from each drop-down menu. The sum of the squares of two consecutive positive even numbers is 340. Find the numbers. The consecutive even numbers are

Answers

Looking at the problem, you can come up with an equation for the consecutive numbers.

[tex] x^{2} + (x + 2)^{2} = 340[/tex]

If we expand the second term:
[tex] x^{2} + x^{2} + 4x + 4 = 340[/tex]

Combine like terms:

[tex]2 x^{2} + 4x + 4 = 340[/tex]

You can reduce this by dividing both sides of the equation by two:

[tex] x^{2} + 2x + 2 = 170[/tex]

And we transpose 170 to get a standard quadratic form that the right side will be zero:
[tex] x^{2} + 2x - 168 = 0[/tex]

Then factor the left side:
[tex](x +14)(x-12) = 0[/tex]

Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14

We can eliminate the negative symbol because the problem is asking for positive even integers.

and;

x - 12 = 0
x = 12

Now we can say that the first positive integer is 12 and the second one is 14

lets name the numbers as x and x + 2
the sum of the squares of these 2 numbers are 340
x² + (x+2)² = 340
x² + x² + 4x + 4 = 340
2x² + 4x - 336 = 0
we are left with a quadratic equation
coefficient of x is 2 therefore divide each number by 2
x² + 2x - 168 = 0
to solve the quadratic equation , the 2 factors whose product is 168x² and sum is 2x is -12x and 14x
x² + 14x -12x -168 = 0
x (x + 14) - 12(x + 14)=0
(x+14)(x-12) = 0
we have 2 possible values for x
x + 14 = 0 x-12 = 0
x = -14 x = 12
from the 2 answers the correct answer is x = 12 as it should be a positive integer
one integer is 12 and consecutive even integer is 14
to check the product of the squared numbers
= 14² + 12²
= 196 + 144
= 340

Convert the fraction to decimal and decimal into the fraction 10.222

Answers

10.222=10 and 222/1000
I'm not sure if that's what you were looking for but I hope this helps!

Answer:

10 and 222/1000

Step-by-step explanation:

The table below shows the data collected on the number of car washes, y, each day since the Auto Spa opened, x.

Days Since Auto Spa Opened 0 20 40 60 80 100
Number of Car Washes 29 35 18 31 28 14

The owner of the new Auto Spa created a line of best fit for the data that can be modeled by the following equation.

y = -0.12x + 31.76

Match the slope and y-intercept with the correct description for the given situation.

titles
the number of cars washes on the day the Auto Spa opened

the ratio of car washes to the number of days since the Auto Spa opened

the number of car washes

the total number of days since the Auto Spa opened

the ratio in the number of days since the Auto Spa opened to the total profit

pair
y-intercept

slope

Answers

The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.

Explanation:
This line of best fit is in slope intercept form: y=mx+b, where m is the slope and b is the y-intercept.

In this equation, m corresponds with -0.12 and b corresponds with 31.76.

The slope is the ratio of change in y to change in x. The y-coordinate of each point represents the number of car washes and the x-coordinate represents the number of days since Auto Spa opened; the ratio of change in y to change in x is then the ratio of the number of car washes to the number of days since Auto Spa opened.

The y-intercept is the point where the data crosses the y-axis; at this point, and all on the y-axis, the x-coordinate is 0. In this problem, the x is the number of days since Auto Spa opened; if it is 0, this means 0 days since it opened, which would be its opening day. Thus the y-intercept is the number of car washes on opening day.

Answer:

The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.

Step-by-step explanation:

PLEASE HELP ME ON THIS

Answers

it's B the second one

the answer is
8x+12y<96
x+y>10

If GH = 3 and HJ = 5, then G ___ J.

Choose the relationship symbol that would make a true statement.

Answers

it will be less than

Step-by-step explanation:

The given equation is as follows.

GH = 3 and HJ = 5

Therefore, simplify for H from both the equations as follows.

H = [tex]\frac{3}{G}[/tex] .......... (1)

and, H = [tex]\frac{5}{J}[/tex] .......... (2)

Equating both equation s(1) and (2), we get the following.

[tex]\frac{3}{G}[/tex] = [tex]\frac{5}{J}[/tex]

G = [tex]\frac{3J}{5}[/tex]

or, G = 0.6J

This means that J will be 0.6 times greater than G.

Thus, we can conclude that G < J.

(x 2 + 2x - 1)(x 2 + 2x + 5) Please help asap!

Answers

Hi there!

To solve this equation, we can use distributive property.

I listed the terms you have to multiply :
x² × x² = x^4
x² × 2x = 2x³
x² × 5 = 5x²
2x × x² = 2x³
2x × 2x = 4x²
2x × 5 = 10x
-1 × x² = -x²
-1 × 2x = -2x
-1 × 5 = -5

Add all of them....
x^4 + 2x³ + 5x² +2x³ + 4x² + 10x - x² - 2x - 5
add up the like terms to simplify

x^4 + 4x³ + 8x² + 8x - 5

Hope this helped! :)

A bike ramp has a slope of 3/4. What is the angle the ramp makes with the ground?

Answers

That would be 36.87°
Hope it helps !
And it would be awesome if you marked this awnser as Branliest! Thank you :)

The measure of a minor arc is equal to the measure of __________

Answers

The measure of a minor arc is less than 180º

There are seven black marbles and nine white marbles in a bag what is the aprroximate probability of drawing two black marbles and then a white marble without replacement

Answers

There are a total of 16 marbles in the bag. Black marbles compound 7/16 or 43.75% of the bag. White marbles compound 9/16 or 56.25% of the bag.

There is a probability of 43.75% to pick a black marble in the bag with 16 marbles.
If you do , there will be 6 black marbles and 9 white marbles left in the bag. The probability to pick anpther black marble is 6/15 or 40%.

If you do pick another black marble , there will be 5 black marbles and 9 white marbles left in the bag , which means the probability of you getting a white marble next is 9/14 or 64.28%.

Now we just have to multiply the probability of you picking the marbles in the right order :

0.4375 × 0.4 × 0.6428 = 0.11249

Which is approximately 11.25%

There is a probability of 11.25% of you getting two black marbles and one white marble in a bag with 7 black marbles and nine white marbles .

I hope you understood my brief explanation. And please consider marking this awnser as Branliest if you think it deserves it. Thank you :)

The approximate probability of drawing two black marbles and then a white marble without replacement is 9/80.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Number of black marbles = 7

Number of white marbles = 9

The event of drawing two black marbles from seven black marbles is

⇒ [tex]\frac{7C_{2} }{16C_{2} }[/tex]

[tex]7C_{2} =\frac{(7)(6)}{(1)(2)}[/tex]

⇒ 21

[tex]16C_{2}=\frac{(16)(15)}{(1)(2)}[/tex]

⇒ 120

Now, [tex]\frac{7C_{2} }{16C_{2} }=\frac{21}{120}[/tex]

Total number of balls, after drawing 2 black balls without replacement is

⇒ 16 - 2 = 14

The event of drawing a white marble without replacement from nine white marbles is

[tex]\frac{9C_{1} }{14C_{1} } = \frac{9}{14}[/tex]

Thus, the approximate probability of drawing two black marbles and then a white marble without replacement is

P(E) = [tex](\frac{21}{120}) (\frac{9}{14} )[/tex]

⇒ 9/80

Hence we can conclude that the approximate probability of drawing two black marbles and then a white marble without replacement is 9/80.

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Please help ASAP!!! 14 points ): Find the product of (3x + 7y)2. 9x2 42xy + 49y2 9x2 49y2 9x2 + 49y2 9x2 + 42xy + 49y2 Say you own 316 shares of Esti Transport stock, which offers an annual dividend of $8.16 per share. How much will you receive in quarterly dividends? Order the sides or angles of the triangle from least to greatest 1.Anti-federalists believed that a bill of rights was (5 points)A)unnecessary due to the structure of government and rights under the ConstitutionB)necessary because laws would not follow rights in the Declaration of IndependenceC)necessary because the Constitution did not specify protection for individual rightsD)unnecessary because the Declaration of Independence listed many individual rights2.Which answer summarizes the key elements of the Great Compromise? (5 points)A)Bicameral: equal representation from each state, and representation based on state populationB)Unicameral: representation based only on the state populationC)Bicameral: representation based on state population, and representation based on state land massD)Unicameral: equal representation from each state regardless of the population3.Which of the following best describes how the Articles of Confederation allowed Congress to protect the new nation? (5 points)A)Congress could raise and lead the army and navy, but the states were responsible for providing the soldiers.B)Congress could raise and lead the army and navy, and elected the soldiers and officers.C)The States created individual armies and navies, and Congress provided the weapons.D)The States raised and provided the soldiers in the army and navy, and Congress appointed all the officers.4.Which was a result of the Commerce and Slave Trade Compromise? (5 points)A)There could be no taxes on exports.B)The slave trade would end with ratification.C)Congress could end slavery at any time.D)Southern crops could not be sold abroad.5.One weakness of the Articles of Confederation was that it (5 points)A)placed a high federal tax on all state residentsB)demanded that each state create its own armyC)gave the federal government too much powerD)required unanimous state consent to amend it What is measure of angle R?Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.What is measure of angle P?Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.Both questions use the same pic Abiotic components of a community include all of the following except 4. The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.A. 16B. 28.5C. 2.8D. 12.7 Read these lines carefully from the play. "Ay me! for aught that I could ever read, Could ever hear by tale or history, The course of true love never did run smooth"-- Act 1, Scene 1 Based on these lines, what could be a possible theme of the play? Question 2 options: Love can be difficult. Love goes smoothly when you are with the right person. True love does not exist. Plays become tales passed down throughout history when love is involved. What protein makes up your hair and nails? 3. why is carteles a correct plural spelling ? ( 1point ) A.because the noun is feminine B. because the noun is masculine C. because the singular form ends in a vowel D. because the singular form ends in a consonant Which scenario supports the catharsis theory of emotion?a. bethany feels very depressed about her recent breakup with her boyfriend. she slumps down on her couch and cries for an hour straight, and then she begins to feel better.b. tony approaches his friend juanita, who is walking her dog. as the dog begins to bark, tony's heart races; he thinks about why this is the case, and realizes he has a crush on juanita.c. micah wakes up feeling glum. he forces himself to smile from ear-to-ear and laugh out loud, and then he begins to feel happy.d. aaron relaxes in his hammock. suddenly, he feels an earthquake, causing him to feel afraid; at the same time, his heart beats rapidly and his palms sweat? A child is punished and temporarily stops his or her well-established bad behavior. however, the child soon goes back to acting badly. this is probably because Please help me figure this out because everything I've tried doesn't work. I NEED TO FINISH THIS TO GRADUATE PLEASE PLEASE PLEASE HELP ME!A perpendicular bisector, CD , is drawn through point C on AB.If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CD is ____ . Point ___ lies on CD.Part 1 options (3,0)(18/5,0)(9,0)(45/2,0)Part 2 options (-52,141)(-20,57)(32,-71)(54,-128) The adjustable opening in the center of the eye through which light enters is called the: question 19 options:a.lens.b.pupil.c.cornea.d.iris. What is the estimated effective nuclear charge, Z eff, experienced by an electron in a 3p orbital of a chlorine atom? a. -1b. 5c. 7d. 17, A building lot in a city is shaped as a 30-60-90 triangle, like the figure shown.The side opposite the 30 angle measures 41 feet.A) find the length of the side of the lot opposite the 60 angle.(show how I know).B) find the length of the hypotenuse of the triangular lot.(show how I know) I got no idea on this! Please help!! 20 points. At a tennis event, 10% of a player's score is based on serves, 40% on return balls, and 50% on wins. Kyle makes 85% of his serves, returns 70% of the balls, and wins 75% of his games. What is Kyle's score at the tennis event? Enter your answer in the box. If 300 cubes can fit in the rectangular prism below what is the edge length of each cube