Use f(x) = |x|
f(x) is shifted down 4 and right 3 to create h(x)
Which answer shows the correct function for h(x)

Answers

Answer 1

The function f(x) = |x|, after shifting it down by 4 units and right by 3 units can be written as -

(y - 4) - |x - 3| = 0

What is Modulus function?

The modulus function can be written as follows -

|x| =  x  [for x 0]  

|x| = - x [for x < 0]

Given that a function f(x) = |x| which is shifted down by 4 units and right by 3 units. Therefore, we can write -

y = f(x) = |x|

Change in y - coordinate = y + 4.

Change in x - coordinate = x - 3.

We will plot the graph of h(x) after the doing the given changes in the coordinates.

Now, we have -

y = |x|

y - |x| = 0

Change in y - coordinate can be written as -

(y + 4) - |x| = 0

Change in x - coordinate can be written as -

(y - 4) - |x - 3| = 0

Now, the graph of both f(x) and and h(x) is attached at the end.

Therefore, the function f(x) = |x|, after shifting it down by 4 units and right by 3 units can be written as -

(y - 4) - |x - 3| = 0

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Use F(x) = |x|f(x) Is Shifted Down 4 And Right 3 To Create H(x)Which Answer Shows The Correct Function

Related Questions

)) Ronnie has already run 21 miles on his own, and he expects to run 1 mile during each
track practice. How many track practices would it take for Ronnie to run 47 miles?

Answers

Answer:

It would take him 47 track practices

Step-by-step explanation:

It would take him 47

I need help ASAP and I need to show my work

I need help ASAP and I need to show my work

Answers

Answer:

Hey there!

Total students: 7+9+5+3+12=36

Students that like math: 7

7/36=19.4% of students like math.

Let me know if this helps :)

Answer:

19% (Math)

Step-by-step explanation:

7 divide by total number of students (36) X100% =19%

i have two bags of marbles. The first bag contains 4 red marbles, 2 blue marbles, and 3 green marbles. The second bag contains 6 red marbles, 3 blue marble, and 6 green marbles. I will randomly select one marble from each bag.

What is the probability that i will select a green
marble from each bag?
A.2/15
B.1/135
C.1/3
D.11/15​

Answers

Answer:

1/3

Step-by-step explanation:

You add up the amount in each bag then you take the amount of green then that will be the answer but since there is 2 bags it is 1/3

Find the volume.please :>​

Find the volume.please :&gt;

Answers

Answer:

The volume of the cube is 77 inches.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE

Answers

Answer:

6.63 ft

Step-by-step explanation:

10² + h² = 12²

h² = 12² - 10²

h² = 144 - 100

h = √(44)

h = 2√11

6.63325 ft

BRAINLIEST please if this helped!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE

How many 11-card hands are possible with a 20-card deck?

Answers

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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How wide is a rectangular strip of land with length 1 1/2 kilometers and area 3/4 square kilometers?

Answers

Answer: The wideness of the rectangular strip of land is 1/2 km

The length of the rectangular strip = 1 1/2 kilometers

The area of the rectangular strip = 3/4 square kilometers

Area of a rectangle = Length x width

Let the width of the rectangular strip = x

\(\begin{gathered} \text{Length = 1}\frac{1}{2}\text{ km} \\ \text{Convert the length to an improper fraction} \\ \frac{(1\text{ x 2) + 1}}{2} \\ \frac{2\text{ + 1}}{2} \\ \frac{3}{2}\text{ km} \\ \text{ Since, area = 3/4 } \\ \frac{3}{4}\text{ = }\frac{3}{2}\cdot\text{ x} \\ \frac{3}{4}\text{ =}\frac{3x}{2} \\ \text{Cross multiply} \\ 3\text{ x 2 = 3x }\cdot\text{ 4} \\ 6\text{ = 12x} \\ \text{Divide both sides by 12} \\ \frac{12x}{12}\text{ = }\frac{6}{2} \\ x\text{ = }\frac{1}{2}\text{ kilometer} \end{gathered}\)

The widenes of the rectangular strip is 1/2 km

A DVD normally costs $22. This week it is on sale for 25% off the original price. What is the sale price of the DVD?​

Answers

Answer:

$16.5

Step-by-step explanation:

25 % of 22 is 5.5

22 - 5.5 = 16.5

The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.

Given that  the original price of a DVD  is $22, that means the cost of the DVD is $22.

This week the sale on the original  price of  a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.

Here, calculate the discount on the original price of a DVD.

\(Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5\)

The discount is $5.5  on the original  price of  a DVD.

Therefore, the sale price of a DVD on this week after the discount:

\(Sale\ price= \$22-$5.5\\Sale\ price=\$16.5\)

Thus, the sale price of a DVD is $16.5.

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Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random sample of 175 adult​ males, the mean pulse rate is 68.1 bpm and the standard deviation is 11.2 bpm. Find the value of the test statistic. Round to two decimal places as​ needed.

Answers

The value of the test statistic is approximately -1.063

We have,

To find the value of the test statistic, we need to calculate the z-score using the given information.

The formula for calculating the z-score is:

z = (x - μ) / (σ / √n)

Where:

x is the sample mean (68.1 bpm)

μ is the population mean (69 bpm)

σ is the standard deviation (11.2 bpm)

n is the sample size (175)

Plugging in the values into the formula, we have:

z = (68.1 - 69) / (11.2 / √175)

Calculating the numerator:

68.1 - 69 = -0.9

Calculating the denominator:

11.2 / √175 ≈ 0.846 (rounded to three decimal places)

Now, we can calculate the value of the test statistic:

z = -0.9 / 0.846 ≈ -1.063 (rounded to three decimal places)

Therefore,

The value of the test statistic is approximately -1.063

(rounded to two decimal places).

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Compare the values of the following numbers, using the symbols > (greater than), < (less than), and = (equal to).
0.5 _____0.500

Answers

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

6. Which is an equation of the line with a slope of 1/4 and a y-intercept of -2 ?
A. x - 4y = 8
B. x +4y = -8
C. 4x + y = -2
D. 4x - y = 2

Answers

Answer:

ANSWER ' A '

x - 4y = 8

Step-by-step explanation:

What is the product?
(3a^2b^7) (5a^3b^8)

Answers

Answer:

\(\boxed{\sf \ \ \ 15a^5b^{15} \ \ \ }\)

Step-by-step explanation:

hello,

\((3a^2b^7) (5a^3b^8)=15a^{2+3}b^{7+8}=15a^5b^{15}\)

hope this helps

HELPP!!!
The area of the figure is ____ square units.

HELPP!!!The area of the figure is ____ square units.

Answers

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

100 points!!
f (x) = −√x + 2 + 3

Fully explain the three transformations required to produce this function from the

parent function.

Answers

Answer: the first thing is your answer :)

thx for the points

Step-by-step explanation:

g

(

x

)

=

x

2

3

The parent function is the simplest form of the type of function given.

f

(

x

)

=

x

2

The transformation being described is from

f

(

x

)

=

x

2

to

g

(

x

)

=

x

2

3

.

f

(

x

)

=

x

2

g

(

x

)

=

x

2

3

The horizontal shift depends on the value of

h

. The horizontal shift is described as:

g

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left

h

units.

g

(

x

)

=

f

(

x

h

)

- The graph is shifted to the right

h

units.

In this case,

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of

k

. The vertical shift is described as:

g

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up

k

units.

g

(

x

)

=

f

(

x

)

k

- The graph is shifted down

k

units.

Vertical Shift: Down

3

Units

The graph is reflected about the x-axis when

g

(

x

)

=

f

(

x

)

.

Reflection about the x-axis: None

The graph is reflected about the y-axis when

g

(

x

)

=

f

(

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of

a

.

When

a

is greater than

1

: Vertically stretched

When

a

is between

0

and

1

: Vertically compressed

Vertical Compression or Stretch: None

Compare and list the transformations.

Parent Function:

f

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: Down

3

Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

image of graph

please help me I dont know how to do this!

please help me I dont know how to do this!

Answers

The above figure is a square

All sides in a square are all equal

A square has an equal Length

Hence, The area of a square

\(A=a^2\)

please help me I dont know how to do this!

find the slope-intercept equation of the line that passes through (3,-1) and has a slope of -1

Answers

Answer:

y= -x+2

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

at the point (3,-1), it is known that x=3 and y= -1.

[y-(-1)]/(x-3)= -1 (y+1)/(x-3)= -1 (y+1)= -1(x-3) y+1= -x+3 y= -x+2

In Rebecca's neighborhood, 89% of the houses have garages and 48% have a
garage and a pool. What is the probability (in percent) that a house in her
neighborhood has a pool, given that it has a garage? Round your answer to 1
decimal place.

Answers

why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.

Answers

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Which is the slope of the line that passes through the points (4, 2) and
(6, 7)?

Answers

Answer:

2.5

Step-by-step explanation:

Use the formula y2-y1 divided by x2-x1

Plug in the values: (7-2)/(6-4)

5/2

=2.5

I need help plslslsls​

I need help plslslsls

Answers

Answer:

a) Positive

b) 146

Step-by-step explanation:

As the data os going up, it is a positive correlation. For part b, you need to draw a line through the general area of all the points and see how much revenue is made from raincoats.

Which method would determine the volume of the prism with dimensions 2 x 2 1/4 x 4?

Answers

Answer:

There are 8 one-quarter cubes and 16 unit cubes so (8 times one-fourth) + 16 will give the volume.

Step-by-step explanation:

4 × 2 × 2¼ = 18

Which method would determine the volume of the prism with dimensions 2 x 2 1/4 x 4?

A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work

Answers

The difference in volume between the two boxes would be = 156in³

How to calculate the difference in volume between the boxes?

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Can someone help me pls

Can someone help me pls

Answers

9514 1404 393

Answer:

  Amir: 2/3

  Whitney: 1/4

Step-by-step explanation:

We can let w represent the fraction Whitney eats. Then the fraction Amir eats is (w+5/12). The total amount they eat is found by ...

  w + (w +5/12) + 1/12 = 1

  2w = 1/2 . . . . . subtract 6/12

  w = 1/4 . . . . fraction Whitney eats

  w+5/12 = 3/12 +5/12 = 8/12 = 2/3 . . . . fraction Amir eats

Subtract. 4/5−1/4 Enter your answer as a fraction in simplest form by filling in the boxes.

|_|
|_|

Answers

Answer:

11/20

| 11 |

|20|

Step-by-step explanation:

for this we need to find the Least Common Denominator in each fraction

4/5 = 16/20

1/4 = 5/20

then we subtract the numerator in each fraction (in bold above)

16 - 5 = 11

meaning we now have...

11 / 20

this is the simplest form for this fraction, so lets figure out what to put in each box

see the way the ' / ' is angled? that means the FIRST number is ON TOP of the second number

Let s(t) = 4t³ – 6t² – 72t be the equation of motion for a particle. Find a function for the velocity.
v(t)=
Where does the velocity equal zero?
t= and t=

Find a function for the acceleration of the particle.
a(t)

Let s(t) = 4t 6t 72t be the equation of motion for a particle. Find a function for the velocity.v(t)=Where

Answers

The function for the velocity is v(t) = 12t² – 12t – 72.

The velocity is zero at t = 3 and t = -2.

The function for the acceleration is a(t) = 24t – 12.

To find the velocity function v(t), we need to take the derivative of the position function s(t) with respect to time.

Given that s(t) = 4t³ – 6t² – 72t, we can differentiate it to obtain the velocity function v(t):

v(t) = s'(t) = d/dt (4t³ – 6t² – 72t)

To differentiate each term, we can apply the power rule of differentiation:

v(t) = 12t² – 12t – 72

Therefore, the function for the velocity is v(t) = 12t² – 12t – 72.

To find when the velocity equals zero, we set v(t) = 0 and solve for t:

12t² – 12t – 72 = 0

We can factor out a common factor of 12:

12(t² – t – 6) = 0

Now, we can solve the quadratic equation t² – t – 6 = 0 by factoring or using the quadratic formula:

(t – 3)(t + 2) = 0

This gives us two possible values for t when the velocity equals zero: t = 3 and t = -2.

Therefore, the velocity is zero at t = 3 and t = -2.

To find the function for acceleration a(t), we need to take the derivative of the velocity function v(t):

a(t) = v'(t) = d/dt (12t² – 12t – 72)

Differentiating each term:

a(t) = 24t – 12

Therefore, the function for the acceleration is a(t) = 24t – 12.

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A bag contains 8 yellow marbles and 6 blue marbles. What number of
yellow marbles can you add to the bag so that the ratio of yellow to blue marbles is 2 : 1? help...

Answers

You can add 4 more yellow marbles to make the ratio of yellow to blue marbles 2 to 1.


A ratio of 2 to 1 means that one of the objects have twice the amount of the other. Since blue originally had 6 marbles, simply multiply that by 2 and you should get how many yellow marbles you need in total and since you already have 8 yellow marbles, all you need is to add four.

The final ration will be

yellow : blue

12 : 6

2 : 1

PLEASE HELP AND SHOW WORK GEOMETRY THX

PLEASE HELP AND SHOW WORK GEOMETRY THX

Answers

For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -

Option A : a right triangle

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).

In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."

A right triangle is a polygon that lacks right angles, but it is not a parallelogram.

Therefore, a right triangle is a counterexample for this statement.

A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.

Therefore, the triangle is the counterexample.

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Which of the following choices is correct about the information shown on the graph below?

Which of the following choices is correct about the information shown on the graph below?

Answers

the third option is the correct answer

Help much needed pls and thank you.

Help much needed pls and thank you.

Answers

Answer:

Step-by-step explanation:

A full revolution on a circle/radians is 2\(\pi\), so keep adding or subtracting 2\(\pi\) til you get a base angle, that's when the sign changes.  Then decide which quadrant your in.

For this one the equivalent of 2\(\pi\) is \(6\pi /3\)

-29\(\pi\)/3 + \(6\pi /3\)

= -23\(\pi\)/3 + \(6\pi /3\)

= -17\(\pi\)/3 + \(6\pi /3\)

= -11\(\pi\)/3 + \(6\pi /3\)

= -5\(\pi\)/3 + \(6\pi /3\)

= 1\(\pi\)/3            sign changed it's equavalent to \(\pi /3\)  Which is in the first quadrant.   See unit circle.

-5\(\pi\)/6 + \(12\pi /6\)

=\(7\pi /6\)              third quadrant,  i count quadrants by know \(\pi\)/6 is 30°, so every 30° line is 1/6 of the unit circle.  when i count 7 of them that's in the 3rd quadrant.  Don't forget to count the axis's

2\(\pi\)/3 is in the 2nd quadrant.  Count my pi/3's which is 60°

45\(\pi\)/7 - 14\(\pi\)/7

= 31\(\pi\)/7 - 14\(\pi\)/7

=17\(\pi\)/7 - 14\(\pi\)/7

=3\(\pi\)/7 - 14\(\pi\)/7

= -11\(\pi\)/7      1/7th's is not your typical unit circle angle

This one i think of logically.  this is -1 4pi/7  

1 pi going backwards is 180

keep going backards 4/7 is bigger than 1/2 so it's in the 1st quadrant

One spring day, Camila noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 60° F. For the next 4 hours, the temperature rose 2° per hour. For the next 2 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Camila's data.

Answers

The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached

How to Graph a Table of Values?

The question is a word problem that involves constructing a table of values and then graph the table values data as below;

Time      Temperature

6:00        56

7:00        59

8:00        62

9:00        65

10:00       66

11:00        67

12:00       68

13:00       69

14:00        70

15:00        70

16:00        70

17:00        70

18:00        70

19:00        67

20:00       64

21:00        61

00:00        60

The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached

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One spring day, Camila noted the time of day and the temperature, in degrees Fahrenheit. Her findings
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Solve the equation for x3x/4+2=x/4+3 PLSS HELPPP ME IM BEGGING ITS FOR A TEST DUE IN 5 MINS!!!!!!!!!!!!!!!!!! The Hight of a cylinder shaped container is twice the size of its diameter. if the Hight of this container is 12 cm, which measurement is closest to the volume of the container, in cubic centimeters? on a recreational boat, the location of emergency equipment such as life jackets, fire extinguishers, visual distress signals and the radio should be reviewed before departure with which persons? How many different atoms or groups are attached to an asymmetric carbon?a) 1b) 2c) 3d) 4 ARTS - Answer these 3 questions about the Vicky Sea Henderson video you watched in class.Question 1. Vicky Sae Henderson defines improvisation asa. acting without wordsb. the art of possibilityc. making people laughd. delivering a solo performanceQuestion 2. In the Vicky Sae Henderson video, she states that there are 3 basic rules of improvisation. Which one is not one of the basic rules?a. relax and breathe deeplyb. make your partner look good and feel insanely powerfulc. train your brain to follow your gutd. say "yes" and...Question 3. What does Henderson state is the best way for everyone to become better at improvisation?a. think of the funniest thing you canb. practicec. only work with people you liked. dont dismiss your first idea Your portfolio rises from $1,500,000 to $1,550,000 in 12 days. Whats your Annualized Return? Lewis Mumford, one of the prominent historians of technology, once wrote that from late the Neolithic Era (roughly 2000 BCE), "right down to our own day, two technologies have recurrently existed side by side: one authoritarian, the other democratic, the first system-centered, immensely powerful, but inherently unstable, the other man-centered, relatively weak, but resourceful and durable." Langdon Winner uses this as his starting point to discuss the politics of technology and argues that technologies affect the "relative distribution of power, authority, and privilege." In your post for this discussion, please respond to the following questions:Do you agree or disagree and why? Please give specifics to backup your assertions.Do you think that artifacts, or technologies, have politics and are some these necessarily democratic or totalitarian?Can you give any specific examples similar to the ones used by Winner; i.e., the tomato harvester and the bridges built by Robert Moses. After a thorough opportunity and competitive analysis of the apparel industry, Sarah, an entrepreneur, realizes that her business would be highly profitable if she focuses on the clothing needs of pregnant women and new moms. Hence, she plans her product, pricing, promotion, and distribution to suit this market. From Sarah's perspective, this market is her ______. A. capital market B. securities market C. target market D. bear market In a lab experiment, 2100 bacteria are placed in a petri dish. The conditions are suchthat the number of bacteria is able to double every 5 hours. How long would it be, tothe nearest tenth of an hour, until there are 48400 bacteria present? If your net income is $13,000 and your variable expenses are $2,000, fixed expenses are $5,000 your cash surplus is:_____. Help please. I beg you Coal Plant LCOEConsider a coal plant with the following characteristics:Capital cost of $3300 per kWCCF of 0.12FOM costs of $104 per kW-yearFuel costs of $0.94 per GJUtilization of 75% (about 6574 hours per year)VOM costs of $0.0044 per kWhEfficiency of 35%Part 1: What are the fixed costs in dollars per kilowatt-hour?Part 2: What are the variable costs in dollars per kilowatt-hour?Part 3: What is the total LCOE in dollars per kilowatt-hour?Part 4: Is the LCOE more sensitive to the capital cost or to the fuel cost? For example, does doubling the capital cost affect the LCOE more or less than doubling the fuel cost? Enter the word "capital" or "fuel". If the numbers are within 10% of each other, enter the word "same".Part 5: Lets look at the effect of a carbon tax. The simplest way to do this is to add a price for carbon emissions to the cost of the fuel (coal). Well assume a commonly-discussed carbon tax of $20/tCO2. Looking at our Conversion Sheet, we can see that coal emits 90 kg of CO2/GJ; multiplying these emissions by $20/tCO2 gives us an additional $1.7999999999999998 per GJ to add to the cost of the coal, almost tripling it! Whats the new LCOE with this carbon tax?Part 6: Would the same carbon tax have more or less of an effect on a natural gas plant? Enter the word "more" or "less". If the numbers are within 10% of each other, enter the word "same". Average costs:a) should be the basis for decision makingb) are often misleadingc) are differential costsd) contain sunk costs Located in jerusalem, this sacred christian church, supposed site of jesus crucifixion, was destroyed in 1009 ce by the fatimid caliphate. A cash register contains p pennies and q quarters. Write an algebraic expression that represents the total amount of money(in dollars) The maximum value of the function is: 2 pi12.25The minimum value of the function is:pi/2-1-0.25On the interval (0, something/2), the function is: IncreasingDecreasingThe range of the function is:[-1, 1][-0.25, 2.25]All real numbers Hi! Can someone help me with this, please? I would be very grateful forever! **MARKING BRAINLIEST PLEASE HELP** I have an assignment on perspective, please rate this and give criticism! All comments are appreciated!