Tacos from the taco truck or 60% off on Tuesdays Erica by the taco for 1.50 on Tuesday she wants to know the regular price of a taco quick answer

Answers

Answer 1

Answer:

3.75

Step-by-step explanation:

i did the lesson its correct :)

Answer 2

Answer:

Regular Price: 100%

                       $3.75

Sale price:    40%

                   $1.50

Discount:

60%

$2.25

Which equation can be used to find the regular price, r, of a taco?

1.5 = 0.4r

Step-by-step explanation:

Read the answers correctly, or you might be typing in the wrong answer.

Everything is all correct, Thank me later :)


Related Questions

I need help plz percent equations the question is blank% of 16 = 12

Answers

Answer:

16 x 0,75

(0,75 = 3/4) so you could take 3 x 16 = 48 and then take 48/4 and the answer should be 12 but the percent is 75%

PLEASE HELP!!!! 20 POINTS

PLEASE HELP!!!! 20 POINTS

Answers

Answer:

relative

Step-by-step explanation:

Relative is the answer

what is the largest possible area for a right triangle in which the sum of the lengths of the two shorter sides is 100 inches

Answers

The sum of the lengths of the two shorter sides is 100 inches is the maximum area of the right triangle is: A(50) = 50(50) - (1/2)(50²) = 1250 square inches

We are given that the sum of the lengths of the two shorter sides of a right triangle is 100 inches. Let these lengths be x and y such that x < y. Then, the length of the hypotenuse z of the right triangle is given by the Pythagorean theorem, which states that:z² = x² + y²It follows that z = √(x² + y²)

The area A of the right triangle is given by:A = (1/2) * x * yTherefore, we want to maximize A subject to the constraint x + y = 100 and x < y. We can solve for y in terms of x as follows:y = 100 - xWe can now express the area A in terms of x as follows:A(x) = (1/2) * x * (100 - x)A(x) = 50x - (1/2)x²

The area is a parabolic function of x with a maximum value at the vertex of the parabola. The x-coordinate of the vertex is given by:x = -b/2a = -50/-1 = 50Therefore, the maximum area of the right triangle is:A(50) = 50(50) - (1/2)(50²) = 1250 square inches

Note that the lengths of the shorter sides of the right triangle are x = 50 inches and y = 50 inches, which makes the length of the hypotenuse z = √(50² + 50²) = √5000 = 50√2 inches.

To know more about square refer here:

https://brainly.com/question/14198272#

#SPJ11

It took a machine 4 minutes to fill 100 bottles. How long will it take the machine to fill 350 bottles?

Answers

Answer:

14 minutes

Step-by-step explanation:

4 x every 100 bottles

100, 200, 300 = 3

4 x 3 = 12

if 4 minutes is for every 100 bottles, then 50 is half of 100. so 4 divided by 2 is 2

12 + 2 = 14

The sides of a regular hexagon is 16ft. What is the area of the hexagon?

The sides of a regular hexagon is 16ft. What is the area of the hexagon?

Answers

64 squared ft bc if you have one size of the hexagon that is 16 ft you times that by 4 bc you have to multiply all sides to get the area and you should get 64 sq ft if I’m wrong I’m sorry lol

Answer:

665.1

Step-by-step explanation:

The formula for an area of a hexagon is \(\frac{3\sqrt{3}}{2}S^{2}\)

the S (side) is 16 so,

\(\frac{3\sqrt{3}}{2}16^{2}\)

=\(\frac{3\sqrt{3} }{2}256\)

=\(3\sqrt{3}\) × 128

= \(384\sqrt{3}\)

round to the nearest sq. rt. means that you have to round to the nearest tenth, or 0.1

\(384\sqrt{3}\) is 665.10751 as a decimal

665.1 as rounded. Therefore, the area of the hexagon is 665.1 sq ft

You and your family left the house for a vacation at 8 A.M. You promptly fell asleep in the
car. Upon waking up at 10 A.M., you asked your mother how far you had traveled. She replied that the car had traveled 124 miles. If you continue at this average rate of speed, how far will you have driven in 3 hours and 15 minutes?

Answers

Answer:

201 miles.

Step-by-step explanation:

If you've traveled 124 miles in 2 hours, than in one hour must've been 62 miles. 62 multiplied by 3 is 186, which is how much miles have been traveled in 3 hours. Plus the 15 minutes would probably be 201 miles. Hope this helps!

A researcher conducted a one-sided hypothesis test for a proportion (Ha:p>po) and obtained a test statistic of 4.318. Which of the following are true? Check all that apply. - The observed sample proportion is 4.318 standard deviations above the claimed value po. - The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. - The researcher should fail to reject the null hypothesis. - When the null hypothesis is true, the test statistic comes from a standard normal distribution. - There is a 4.318% chance that the alternative hypothesis is true.

Answers

This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

To know more about "Hypothesis test" refer her:

https://brainly.com/question/4232174

#SPJ11

Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)

Answers

Answer:

B. 4400

Step-by-step explanation:

-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400

Correct option is B.

an element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?

Answers

Answer:

Step-by-step explanation:

Total Depreciation: 60.24%

Total depreciation: $9,759.50

Car Value after 6 years: $6,440.50

The element is remaining 146.6 grams after 7 minutes, to the nearest 10th of a gram.

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

An element with mass 630 grams decays by 18.8% per minute.

That means, 18.8% = 0.188

Here, we will use the exponential decay function.

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Here,

A₀ = 630 grams

r = 0.188

x = 7 minutes

Substituting the values to the formula,

A₇ = 630(1-0.188)⁷

A₇ = 630(0.812)⁷

A₇ = 630(0.23275134787)

A₇ = 146.633

A₇ = 146.6 grams.

Therefore, element is remaining 146.6 grams.

To learn more about the exponential decay;

https://brainly.com/question/14344314

#SPJ2

2xsquared +6x
Simplified

Answers

The simplified representation of the expression given as 2x² + 6x is 2x(x + 3)

How to simplify the expression?

From the question, the expression is given as

2xsquared +6x

Rewrite the expression properly

So, we have the following equation

2x² + 6x


Factor out x from the above expression

So, we have the following equation

2x² + 6x = x(2x + 6)

Factor out 2 from the above expression

So, we have the following equation

2x² + 6x = 2x(x + 3)

Hence, the simplified expression of 2x² + 6x is 2x(x + 3)

Read more about expression at

https://brainly.com/question/20662459

#SPJ1

Guys can you please help. I dont understand. Thank you. :))))

Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.

Answers

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

A diver jumps off a spring board that is 10 feet above the water. The board throws the diver up with an upward velocity of 9 feet per second. Eventually, gravity over comes the force of the diving board and the the diver begins to come down. The diver is thrown into the air fairly quickly, he slows down until he stops, then begins to come back down (slowly at first, then faster and faster until he hits the water).

The height of any object like the diver that is projected into the air can be modeled with the following function:

h(t) = -16t^2 + v*t + m

In this function:

h(t) is the height of the object t seconds after it was thrown into the air.

t is the number of seconds after the object was thrown in the air.

v is the initial upward velocity (for the diver this was 9 ft per second).

m is the initial height of the object (for the diver this is 10 feet).


Question #1


What does the v*t represent in the case of the diver?


Question #2


What do you think the -16t^2 represents in the case of the diver?


Question #3


How high will the diver be 1 second after he leaves the board (find h(1))?


Question #4 Now


What will h(t) be when the diver hits the water?


Question #5 Now


How long will it take the diver to hit the water (Hint: Put 0 in for h(t), then solve for t)?

Answers

The diver will be 3 feet high 1 second after he leaves the board and the diver will hit the water after 1.12 seconds

What does the v*t represent in the case of the diver?

The function is given as:

h(t) = -16t^2 + v*t + m

The variable v represents the velocity, while the variable t represents time

So, we have:

v * t = velocity * time

v * t = distance

Hence, v*t in the case of the diver represents distance

What do you think the -16t^2 represents in the case of the diver?

We have:

-16t^2

Where

a = -16 --- the acceleration

The variable t represents time

So, we have:

-16t^2 = -16 * time squares

-16t^2 = distance

Hence, -16t^2 in the case of the diver represents distance

How high will the diver be 1 second after he leaves the board?

To do this, we calculate h(1).

So, we have:

h(t) = -16t^2 + v*t + m

This gives

h(t) = -16t^2 + 9*t + 10

This gives

h(1) = -16 * 1^2 + 9*1 + 10

Evaluate

h(1) = 3

Hence, the diver will be 3 feet high 1 second after he leaves the board

What will h(t) be when the diver hits the water?

Here, we set h to 0

-16t^2 + 9*t + 10 = 0

Using a graphing calculator, we have:

t = 1.12

Hence, the diver will hit the water after 1.12 seconds

Read more about height functions at:

https://brainly.com/question/12446886

#SPJ1

PLEASE HELP Give me an example of a negative correlation

Answers

Answer:

Step-by-step explanation:

An example of a negative correlation is tv viewing and student test grades.

Another example is the video game playing and test grades

f(x)=−7x−1
find x if f(x) = -8

Answers

Answer:

\(f(x) = - 8 \\ \\ - 7x - 1 = - 8 \\ \\ - 7x = - 8 + 1 \\ \\ - 7x = - 7 \\ \\ 7x = 7 \\ \\ x = \frac{7}{7} \\ \\ x = 1\)

The length of a rectangle is represented by 2n+8, and its width is represented by n-7. Write the polynomial for the perimeter of the rectangle. Write your answer in standard form.

Answers

The polynomial for the perimeter of the rectangle can be expressed as P(n) = 2(2n+8) + 2(n-7), which simplifies to P(n) = 4n + 16 + 2n - 14.

Combining like terms, we get P(n) = 6n + 2. Therefore, the polynomial in standard form for the perimeter of the rectangle is P(n) = 6n + 2.

To find the perimeter of the rectangle, we need to add up the lengths of all four sides. The length of the rectangle is represented by 2n+8, so we have 2 sides of length (2n+8). The width of the rectangle is represented by n-7, so we have 2 sides of length (n-7). To calculate the perimeter, we add up the lengths of all four sides: (2n+8) + (2n+8) + (n-7) + (n-7). Simplifying this expression, we get 6n + 2, which is the polynomial in standard form for the perimeter of the rectangle.

To learn more about polynomial click here: brainly.com/question/11536910

#SPJ11

A scale drawing of an elephant shows the animal as 6 inches high and

10.8 inches long. The scale used for the drawing was 3 in..5 ft.

What are the height and length of the actual elephant?

Height:

feet

Length:

feet

Answers

Step-by-step explanation:

3 in to 5 ft

so, one basic unit in the drawing is in fact 3 inches.

how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.

6 inches high

6 / 3 = 2

so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.

10.8 inches long

10.8 / 3 = 3.6

so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.

Which of the following could NOT be the lengths of the sides of a triangle?
A.5 in, 5 in, 5 in
B. 10 cm, 15 cm, 20 cm
C. 3 in, 4 in, 5 in
D. 8 ft, 15 ft, 5 ft

Answers

Given:

Sides of triangles in the options.

To find:

Which could NOT be the lengths of the sides of a triangle.

Solution:

Condition for triangle:

Sum of two smaller sides of a triangle must be greater than the longest side.

In option A,

\(5+5=10>5\)

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.

In option B,

\(10+15=25>20\)

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.

In option C,

\(3+4=7>5\)

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.

In option D,

\(8+5=13<15\)

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.

Therefore, the correct option is D.

Find 1 + 3 + 5 + … + 389.

Answers

Answer:

The rule is +2

This is the 194th term

Step-by-step explanation:

This is an arithmetic sequence because 2 is added every time.

2x + 1 = 389

2x = 388

x = 194

194* 2 + 1 = 389

mark brainliest please!

Answer:

398 i think

Step-by-step explanation:

assume that there are 10 students in a class. the average grade on a test for the nine of the students is 85. the grade of the tenth student is 90. the average grade for the class will be

Answers

Answer:

85.5

Step-by-step explanation:

85 • 9 is 765

If you add 90 to 765 and then divide the sum by 10, you get 85.5.

8a-6=34 can some one help me with this problem it will be really helpful

Answers

Answer: The answer is 5

Step-by-step explanation:

8a-6=34

You move constant to the right and you change the sign. Like this: 8a=34+6

Then you calculate it which would be 8a=40

You divide both of the sides so it will give your answer a=5

Pls help with the last question C very urgent and explain the method please 20 POINTS

Pls help with the last question C very urgent and explain the method please 20 POINTS

Answers

Answer:

2.432926829 rounded to a significant figure

Step-by-step explanation:

798/(8*41)

798/328=399/164=2 71/164 or approx 2.432926829

Round to a "significant figure."

(I don't know what that's referring to. The nearest whole number is 2.)

The answer would be 2 for C math done: 798/328 = 2.43 rounded to 2.

An airplane departs airport A at a heading of (N W). After traveling 320 miles, the airplane adjusts its course to (N W) and flies an additional 112 miles to reach airport B.

Answers

The shortest distance between airports A and B that can be covered by an airplane flying from airport A at a heading of 300 (N 60 W) is =  401 miles.

What do you mean by law of cosine?

The law of cosines, commonly referred to as the cosine rule or the cosine formula, is a trigonometric formula that simply establishes a relationship between the length of a triangle and the cosine of one of its angles. The length of the third side of a triangle can be calculated if we know the lengths of the first two sides and the angle between them.

According to the given information:

An aircraft takes off from airport A with a heading of 300 (N 60 W). The aircraft changes its direction to 350 (N 10 W) after flying 320 miles, and after flying an additional 112 miles, it reaches airport B.

Below is an attachment with the problem's image. The two sides in this image are 112 miles and 320 miles apart, and the angle between them is 130 degrees. As a result, x has the value

So, by putting the values we get:

\(x=\sqrt{112^{2}+130^{2}-2(112)(130) \cos 130^{\circ}}\)

x = 401 miles.

Therefore, the shortest distance between airports A and B that can be covered by an airplane flying from airport A at a heading of 300 (N 60 W) is 401 miles.

To know more about law of cosine visit:

https://brainly.com/question/27597869

#SPJ4

5. Given that a + b = 8 and ab = 15, find the value of (a+b)² and a² + b²​

Answers

Answer:

64 and 34

Step-by-step explanation:

Given

a + b = 8 ( square both sides )

(a + b)² = 8² = 64

------------------------------------------------

(a + b)² = 64 ← expand left side

a² + b² + 2ab = 64 ← substitute ab = 15

a² + b² + 2(15) = 64

a² + b² + 30 = 64 ( subtract 30 from both sides )

a² + b² = 34

Sultan needs enough tents for 28 people to sleep in. Each tent can fit 6 people. How many tents does he need?

Answers

Answer:

5 tents

Step-by-step explanation:

1 tent = 6 people

x tent = 28 people

Cross product

1 * 28 = 6 * x

28 = 6x

x = 28/6

= 4.67

Approximately x = 5 tents to an whole number

Therefore, he needs 5 tents for 28 people to sleep in

a helpful rule for converting radians to degrees is

Answers

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

a man has 32 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 515 cents, how many dimes and how many quarters does he have?your answer is

Answers

Answer:

19 dimes and 13 quarters

Step-by-step explanation:

Let's start by defining some variables:Let's call the number of dimes the man has "d".

Let's call the number of quarters the man has "q".We know that the man has 32 coins in total, so we can write:

d + q = 32We also know that the total value of the change is 515 cents. Since dimes are worth 10 cents and quarters are worth 25 cents, we can write an equation for the total value in cents:

10d + 25q = 515

We now have two equations with two variables, which we can solve simultaneously. Let's rearrange the first equation to solve for one of the variables:

d = 32 - q

We can substitute this expression for "d" into the second equation:

10(32 - q) + 25q = 515Simplifying and solving for "q", we get:

320 - 10q + 25q = 515

15q = 195

q = 13

So the man has 13 quarters. We can substitute this value into the first equation to find the number of dimes:

d + 13 = 32

d = 19

Therefore, the man has 19 dimes and 13 quarters.

There are 19 dimes and 13 quarters.

Let x represent the number of dimes and y represent the number of quarters.

There are a total of 32 coins, so:

x + y = 32

We know that the total value of the change is 515 cents

. The value of x dimes is 10x cents and the value of y quarters is 25y cents. So:

10x + 25y = 515

We can simplify the first equation by solving for one variable in terms of the other:

x + y = 32x = 32 - y

Now we can substitute this expression for x into the second equation:

10(32 - y) + 25y = 515

Simplify and solve for y:

320 - 10y + 25y = 515

15y = 195y

y = 13

So there are 13 quarters. We can find the number of dimes by substituting y = 13 into x + y = 32:x + 13 = 32x = 19So there are 19 dimes.

So, There are 19 dimes and 13 quarters.

To know more about quarters visit:

https://brainly.com/question/391885?

#SPJ11

What transformations were applied to ABC to obtain A'B'C'?
A. rotate 270 degrees counterclockwise, then shift 2 units down
B. rotate 180 degrees counterclockwise, then shift 2 units up
C. rotate 270 degrees counterclockwise, then shift 2 units up
D. rotate 180 degrees counterclockwise, then shift 2 units down
← PREVIOUS

What transformations were applied to ABC to obtain A'B'C'?A. rotate 270 degrees counterclockwise, then

Answers

Answer:

The answer is (D).

Step-by-step explanation:

What transformations were applied to ABC to obtain A'B'C'?A. rotate 270 degrees counterclockwise, then

Answer:

A, Rotate 270 Degrees Counterclockwise, then shift 2 units down.

Step-by-step explanation:

Thanks for showing the picture, :)

You rotate it 270 degrees and imagine it shifting and it looks like it would shift 2 down and it does to fit the new triangle.

the cost of unleaded gasoline in the bay area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. sixteen gas stations from the bay area are randomly chosen. we are interested in the average cost of gasoline for the 16 gas stations. what's the approximate probability that the average price for 16 gas stations is over $4.69? almost zero 0.0142 0.0943 unknown

Answers

The approximate probability that the average price for 16 gas stations is over $4.69 is equals to the almost zero. Therefore, correct answer is option (a).

Under statistics, a z-score or standard score is used to identify how far from the population mean a given data point or raw score is. The following variation of the z-score formula,

z= ( x −μ)/σ/√n

Where, x--> observation score

μ-->mean

σ--> standard deviation

n--> number of sample

We have cost of unleaded gasoline in the area once will follow an unknown distribution,

Mean, μ= $4.59

Standard deviations, σ = $0.10

Sample size, n = 16

Observed value, x = $4.69

We have to calculate approximate probability for average price for 16 gas stations is over $4.69, i.e., P(x >4.69). Using the z-score formula,

P( (x −μ)/σ/√n > ( 4.69 - 4.59)/0.10/√16)

=> P(z > (4.69- 4.59)/0.10/√16)

=> P(z > 0.10/0.10/√16)

=> P(z >4) = 1 - P( z< 4)

Using the z-table, the approximate value of P(z < 4 ) is 0.999. Also, P( x> 4.69 )

= P( z>4) = 1 - 0.999 ~ 0.

Hence, required probability is almost zero.

For more information about Z-score, refer:

https://brainly.com/question/25638875

#SPJ4

(e) what is the probability that the actual weight differs from the prescribed weight by more than 0.45 g? (round your answer to four decimal places.)

Answers

Determine the probability that actual weight is within 0.45 g of the prescribed weight we need to integrate with 2.55 to 3.45

we have to integrate  with : 2.55 to 3.45

p(3-0.45<X<3+0.45)

P( 2.55<X<3.45)

= [2.7-24.47-24.3+48.609/3]

=0.6325

What is probability:

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Learn more about probability here:

https://brainly.com/question/14915464

#SPJ4

The question was incomplete. Check below the complete question.

The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x) = k 1 ? (x ? 3)2 2 ? x ? 4 0 otherwise.

Which number is rational?
OA. 0.83587643...
B. ♬
OC. 0.333...
ODT

The answer is C 0.333

Which number is rational?OA. 0.83587643...B. OC. 0.333...ODTThe answer is C 0.333

Answers

The number that is rational in the given options is C. 0.333...

What are rational numbers?

A rational number is a given number which can be expressed as a fraction, or which has a series of recurring digits on expressing it in decimal. Such that it can be rounded off to a required number of decimal places or significant figure of the recurring digits.

In the given question, comparing the values of the given options, it can be observed that only 0.333... is the rational number. Therefore, the required number that is rational is option C. 0.333...

Learn more about rational numbers at https://brainly.com/question/28935181

#SPJ1

Answer:

C. 0.333 is the answer.

Step-by-step explanation:

Other Questions
What happens in chapter 5 of Gulliver's Travels? 280 sheets of paper are 4cm thick.a. How thick would 630 of these sheets be?b. How many sheets would be 2.7cm thick? For an object to appear transparent, what interaction must occur between lightwaves and the object they hit? Classify each of the events according to whether the solubility of the solute increases, decreases, or stays the same. Solute solubility increases Solute solubility decreases Solute solubility stays the same Answer Bank glucose in water heating the mixture CO, in blood: body temperature rises to 103 F KCI in water warming the mixture clectrolytes in solution: a mountain climber ascends 5 km with a sports drink, atmospheric pressure drops 50% Let f(x) = 4x - 7 and g(x) = x +5. Find f(g(x)) and g(f(x)).f(g(x)) = (Simplify your answer.)g(f(x)) = (Simplify your answer.) Suppose the market supply is given by L=2W. Assume the product market is competitive and the product price is p=$11. Also suppose MP1= 9.2-0.8L and that the firm has monopsony power. Report numerical answers as a decimal, do not round at all. A. Write the formula for the inverse supply of labour and graph the supply curve. The slope of this supply curve is _____B. For this firm, MCL=_______ (enter the simplified formula). Illustrate this market graphically, including accurate numbers for slopes and intercepts. Write the condition which the monopsonist's optimal choice of labour must satisfy. This monopsonist will choose employment level _________. At this employment level, the firm will offer the wage $ ________, and the value marginal product of labour is $ _________ . The average cost of labour for this monopsonist is $ and the firm's profit per worker is $ _______ so this monopsonist makes a profit of $ _______. C. The competitive outcome would occur at the intersection of which two curves? Indicate this point on your graph. Based on the equations given, the competitive level of employment would be and the competitive wage would be $ ______ . Relative to the monopsony outcome, competitive employment is _______ (higher/lower/the same) and competitive wages are _______ (higher/lower/the same). Now suppose the union insists wages must not be below $5: D. Carefully draw the firm's new marginal cost of labour. For employment levels up to L= _______ , the firm's marginal cost of labour will be $5. For levels of employment greater than that, the marginal cost of labour _______ (increases/decreases). Explain why. E. Has the condition for the monopsonist's optimal choice of L changed? After the union influence, the level of employment will be ______ be paid $ _______. Relative to the competitive outcome, employment after the union influence is ______ (higher/lower/the same) and workers will ________ (higher/lower/the same) and (increased/decreased/not affected) wages are______. Relative to the monopsony outcome, the union has ______ employment and _______ (increased/decreased/not affected) worker pay. If 10 grams of carbon always combines with 28 grams of oxygen, even with excess oxygen available. this best illustrates the law of? TalixPartners Inc. has just paid a dividend of $3.50. The current stock price for the firm is $46.26. If you estimate that the dividends will grow at a constant growth rate of 3.75% per year, what is the implicit rate of return that the investors are demanding from holding the firms stock? explain why scientists use the word dominant for certain traits. How do political parties choose their presidential nominee ?. Find an equivalent mixed number for the decimal number. 6.44 An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that the mean income is found to be $24.3 for a random sample of 758 people. Assume the population standard deviation is known to be $9.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place. 21x^7y^7z^4+31x^4y^4 21x 7 y 7 z 4 +31x 4 y 4Factor completely using GCF Only one sales representative can go to the conference in hawaii, but both susan and sean want to go. after much discussion and arguing, they draw straws and susan gets the trip. this is an example of? for 0 < 2 what are the solutions to sin^2() =2sin^2(/2) suppose we have a statistical model {f : [0, 1]} and we observe x0. is it true that 8 1 0 l( | x0) d = 1? explain why or why not Question 18Leah wants to buy a necklace for her mother's birthday that costs $48.50. She currently has $14.55.What percentage of the total does Leah have?A3.33%B.30%70%D33.95% by reducing what is the answer Explain 3 program implications for successful intervention for children with physical disabilities. Why is it that countries located at equator have high temperaturescompared to other countries?