The graph of the function f(x) = a ln(x + r) passes through the points (6,0) and (15, 4). Find the values of a and T.

Answers

Answer 1

For the given equation of graph, the values of a and T are both 4 / ln(10).

What are equations?

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equation represents that the LHS is equal to the RHS.

To find the values of a and r in the function f(x) = a ln(x + r), we can use the given points (6, 0) and (15, 4) and substitute them into the equation to create a system of equations.

Substituting (6, 0) into the equation:

0 = a ln(6 + r)

Substituting (15, 4) into the equation:

4 = a ln(15 + r)

We now have a system of two equations with two variables (a and r). To solve this system, we can use the method of substitution or elimination.

From the first equation, we can isolate ln(6 + r) by dividing both sides by a:

ln(6 + r) = 0 / a

ln(6 + r) = 0

Exponentiating both sides of the equation:

\(e^{(ln(6 + r))} = e^0\)

6 + r = 1

r = 1 - 6

r = -5

Now, we substitute this value of r into the second equation:

4 = a ln(15 - 5)

4 = a ln(10)

To isolate a, we divide both sides by ln(10):

4 / ln(10) = a

So the value of a is 4 / ln(10).

To find the value of T, which is the coefficient in front of ln(x + r), we compare it to the original equation f(x) = a ln(x + r). We can see that T = a. Therefore, T = 4 / ln(10).

The values of a and T are both 4 / ln(10).

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Related Questions

Help I don’t have a clue ?

Help I dont have a clue ?

Answers

Answer: Yes

Step-by-step explanation:

Because she tested it more times, her results should (in theory) be more accurate, due to more tests leading to the results being more diverse. The results indicate that one side of the coin (the tails side) is more likely to land down, which leads the head side up.

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.

Answers

Answer:

Step-by-step explanation:

Distribute –4 to get –8x + 4 > 5 – 3x.

We can actually deduce here that the correct first step in solving the inequality –4(2x – 1) > 5 – 3x is: A. Distribute –4 to get –8x + 4 > 5 – 3x.

What is inequality?

An inequality refers to the relationship that exist between two expressions that shows that they are not equal to each other. The signs used in an inequality are:

≠ ‘not equal to’, > ‘greater than’, < ‘less than’, etc.

We see here that the first step is to use -4 to multiply the digits in the bracket. If that happens, we will have: –8x + 4 > 5 – 3x.

Then solving the inequality:

-8x + 3x > 5 - 4

-5x > 1

x < -1/5

Thus, we see that option B: Distribute –4 to get –8x + 4 > 5 – 3x. is the correct answer.

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Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph

y<−2x+2
y>−2x+2
y<2x−2

Answers

The inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

The one inequality is

y ≤−2x−1

The inequality is represents the relationship between two variables with inequality sign. The inequality will be less than, greater than, less than or equal to and greater than or equal to.

Both lines are parallel therefore the slope of the line will be same that is -2.

The y intercept of the line is +2

The shade is on the top side of the line

Therefore the inequality will be

y>−2x+2

Hence, the inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

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PLEASE HELPPPPP!!!!!!!! WILL GIVE BRAINLIEST!!

PLEASE HELPPPPP!!!!!!!! WILL GIVE BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

60+30+ 90 = 180

3 x = 180

3 x = 180

x=60

3. The following data was recorded from the heights of planted flowers in inches: 12, 10, 8.5, 5.5, 10. Calculate the Mean Absolute Deviation (MAD) for the heights of the flowers.

A. 10

B. 9.2

C. 1.76

D. 8.8​

Answers

Answer:

1.76

Step-by-step explanation:

i used a mean absolute deviation calculator

I need help finding the midpoint ​

I need help finding the midpoint

Answers

0,3 or 3,0 is the answer

Answer:

(0,3)

Step-by-step explanation:

This is the middle of the graph.

Have a great day!!

Which expression represents the total surface area, in square centimeters, of the square pyramid? A square pyramid. The square base has side lengths of 8. 2 centimeters. The triangular sides have a height of 10. 3 centimeters. (8. 2) (8. 2) 4 (one-half (8. 2) (10. 3)) (8. 2) (8. 2) 4 (one-half (8. 2) (11. 1)) (8. 2) (10. 3) 2 (one-half (10. 3) (10. 3)) 2 (one-half (8. 2) (10. 3)) (8. 2) (10. 3) 2 (one-half (10. 3) (11. 1)) 2 (one-half (8. 2) (11. 1)).

Answers

the expression simplifies to 622.38, which represents the total surface area of the square pyramid in square centimeters.

The expression that represents the total surface area of the square pyramid is:

2 * (one-half * (8.2 * 10.3) + 4 * (8.2 * 8.2))

Let's simplify this expression step by step:

First, let's calculate the area of each triangular side:

(one-half * (8.2 * 10.3))

Next, let's calculate the area of the square base:

(8.2 * 8.2)

Now, multiply the area of each triangular side by 4 (as there are 4 triangular sides):

4 * (8.2 * 10.3)

Finally, add the area of the base and the area of the triangular sides multiplied by 4:

2 * (one-half * (8.2 * 10.3) + 4 * (8.2 * 8.2))

Simplifying further, we get:

2 * (4.1 * 10.3 + 4 * 67.24)

2 * (42.23 + 268.96)

2 * (311.19)

622.38

Therefore, the expression simplifies to 622.38, which represents the total surface area of the square pyramid in square centimeters.

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Which set of numbers could represent the lengths of the sides of a right triangle? Responses 8, 12, 16 8, 12, 16 16, 32, 36 16, 32, 36 3, 4, 5 3, 4, 5 9, 10, 11

Answers

Answer:The set of numbers that could represent the lengths of the sides of a right triangle is 3, 4, 5.This is because these numbers satisfy the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In other words, for a right triangle with legs a and b and hypotenuse c, a² + b² = c².In the case of 3, 4, 5, we have:3² + 4² = 9 + 16 = 25 = 5²So, these numbers could represent the lengths of the sides of a right triangle.The other sets of numbers, 8, 12, 16 and 16, 32, 36, and 9, 10, 11, do not satisfy the Pythagorean theorem and therefore cannot represent the lengths of the sides of a right triangle.

Step-by-step explanation:

What is the angle measurement of angle LON?

What is the angle measurement of angle LON?

Answers

i’m pretty sure the answer is 120

Mrs. Sheldon has the desks
in her room in a square
formation with the same
number of desks in each row.
If there are a total of 25 desks
in her room, how many desks
are there in the first two
rows?

Answers

Answer:

16, 21

Step-by-step explanation:

The answer is 16, 21

Vote and like this have a great day ?

.............................

.............................

Answers

Answer:

\(\frac{18p-5}{30}\)

Step-by-step explanation:

Answer:

18p-5 over 30.

Found in the LCM method

What is the circumference of the circle?

What is the circumference of the circle?

Answers

Answer:

\(\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}\)

Step-by-step explanation:

Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.

Now, the formula for the cirumference of a circle = 2πr

Circumference of the circle

= 2πr

= 2 × 3.14 × 5                      [π = 3.14]

= 31.4 feet (option E)

\(\rule{150pt}{2pt}\)

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

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond\)

          What is the circumference of the circle? (Its radius is 5 ft)

\(\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond\)

The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).

We're asked to find the circumference of the circle, which can be found using the following formula:-

❖  \(\sf{C=2\pi r}\)

Where:-

C=circumferenceπ=pi (3.14...)r=radius

Substitute 5 for r:-

\(\sf{C=2\pi (5)}\)

On simplification,

\(\sf{C=10\pi}\)

On further simplification,

\(\sf{C=31.4\:feet}\)

So we conclude that the right option is:-

\(\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark\)

Good luck.

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








5-Gioup of acievints with a commatid inforination. 9. Traatactions are jocmalsens ased poeted by have Tourmal Entries 1. Purchayed oqfice equipewent for \( \$ 15000 \) paying 54000 in eask and tigming

Answers

Journal Entry for the purchase of office equipment:

Debit Office Equipment for $15,000Credit Cash for $4,000Credit Notes Payable for $11,000

What is the journal entry for the purchase of office equipment ?

The purchase of equipment results in a debit to the asset section of the balance sheet. The credit is based on what form of payment you use as the customer.

Data:

Total cost of office equipment = $15,000Amount paid in cash = $4,000

Remaining amount on the note:

= Total cost - Cash paid

= $15,000 - $4,000

= $11,000

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Solve the equation:(2x + 3)(x-1)=0Enter the solution with the highest value.

Answers

In order to solve the equation, since it is already factored, we just need to find the value of x that makes the factors be equal zero. So we have that:

\(\begin{gathered} (2x+3)(x-1)=0 \\ (2x+3)=0\to2x=-3\to x=-\frac{3}{2} \\ (x-1)=0\to x=1 \end{gathered}\)

So the solution is {-3/2, 1}.

The solution with the highest value is x = 1.

1. Safia wants to find the distance, AB, across a river. She starts at point B and walks along the edge of the river 76 ft and marks point C. Then she walks 24 ft further and marks point D. She turns 91° and walks until her final location and marks point E. Point E, point A, and point C are collinear

1. Safia wants to find the distance, AB, across a river. She starts at point B and walks along the edge
1. Safia wants to find the distance, AB, across a river. She starts at point B and walks along the edge

Answers

The distance of line AB which represents the distance across the river would be = 710.4 ft.

How to calculate the distance across the river with the given shape?

Form the given shape above, ∆ ABC is similar to ∆ EDC

Point E, point A, and point C are collinear. This means that they are on the same line.

The scale factor = original object/new object

Using the same sides from the both shapes created;

= line BC/line CD

= 76/24 = 3.2.

If scale factor = 3.2 = Line AB/DE

where, Line DE = 222ft

line AB= x

Make X the subject of formula;

X= 3.2×222

X= 710.4ft

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−3(y+5)=15 someone please help me with this question my assignment is already late

Answers

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

Linear equation: -1
2
(6x + 10) = 13

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?

Answers

The answer of the provided question is  the addition property of equality and then the division property of equality

What is addition property?

Regardless of the sequence in which the numbers are added, the total of any two or more numbers is always the same. This characteristic may be expressed in the formula A + B = B + A. For instance, 2 + 4 Equals 4 + 2 = 6. As a result, both sets add up to 6, therefore 2 + 4 = 4 + 2.

We have multiplied both sides of the equation by 5 to move from Step 1 to Step 2:

\(-3x -5 +5 = 13 +5\\ -3x = 18\)

We have divided both sides of the equation by -3 to go from Step 2 to Step 3:

\(-3x/-3 = 18/-3\\ x = -6\)

These procedures can be categorized as...

first the equality's addition property, then its division property

However, since multiplication and division are the same thing, but with reciprocal numbers, and since addition and subtraction are the same thing, but with opposite numbers, any of the above answers may theoretically be right.

(adjust 5, divide by -3) = (adjust 5, multiply by -1/3)

(subtract 5 and divide by 3) equals (subtract 5 and multiply by 1/3).

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Which of the following taxpayers would be most likely to benefit from an installment sale?
Allan - He sold a business use car at a net gain that was less than the amount of depreciation
Kayla She sold business ue land for a gain
Marie She sold property she had held in inventory in her business at a net gain
Robert - He sold a fishig boat at a net loss

Answers

The taxpayer who would most likely benefit from an installment sale is Allan, who sold a business use car at a net gain that was less than the amount of depreciation.

What is an installment sale?

An installment sale is a transaction in which the sales price is received over a period of time that spans more than one tax year. Installment sales may have tax advantages, which is why taxpayers should consider them.

The taxable profit in an installment sale is not calculated using the entire sales price. Instead, it is calculated by applying the gross profit percentage to each installment's payments received during the year. In general, if an installment sale meets the definition, the taxpayer reports income from the sale as the payments are received, rather than in the year of sale.

However, in some situations, taxpayers might choose to report the entire profit from an installment sale in the year of sale. In such instances, an election to do so must be made.

What is net gain?

The difference between the sales price and the adjusted cost basis of the asset is known as the gain. The gain is reduced by selling expenditures to arrive at the net gain. Net gain occurs when the sales price of a commodity is higher than its cost of acquisition and other fees or expenses related to its purchase and sale.

What is depreciation?

Depreciation is a term used in accounting and finance to describe the systematic decrease in the value of an asset over time due to wear and tear. It is an expense that lowers a company's net income and lowers the value of an asset on the balance sheet.

Hence, Allan, who sold a business use car at a net gain that was less than the amount of depreciation, will most likely benefit from an installment sale.

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Andrea makes Mother's Day bouquets each year for extra income. This year her goal is to make $300. If she sells each bouquet for $12.50, how many bouquets must she sell to reach her goal?​

Answers

Answer:

24 bouquet

Step-by-step explanation:

300 divide by 12.50

A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
y
ху

Answers

Answer:

8 - 42x - 56y - 12xy

Step-by-step explanation:

Length = 4 - 7(3x + 4y)

= 4 - 21x - 28y

Width = 3x(-2y)

= -6xy

Perimeter of the rectangle = 2(length + width)

= 2{(4 - 21x - 28y) + ( -6xy)}

= 2(4 - 21x - 28y - 6xy)

= 8 - 42x - 56y - 12xy

Perimeter of the rectangle = 8 - 42x - 56y - 12xy

The irrigation system for a farm sprays water in circular patterns. Each sprinkler is connected to a pipe in the center of a circle and rotates around that pipe. The largest sprinkler sprays water 20 feet. What is the circumference of the circle irrigated by this sprinkler?

Answers

Answer:

40 π ft or 125.6ft

Step-by-step explanation:

If the sprinkler can spray water 20 ft, that means the radius is 20 ft and to get the circumference we do 2 r π

or 2r*3.14

The answer is either 40 π ft

or 125.6ft

Here the irrigation sprinkler is pivoted at an angle
θ
=
40

=
40
π
180
rad.
It waters a circular sector of area
A
=
2060
f
t
2
.
If the length of the sprinkler be
L
ft. It will be radius of the circular sector watered.
Hence
1
2
×
θ
in radian
×
L
2
=
A

L
=

2
A
θ
=

2

2060

180
40
π

76.8
ft

The diameter of a circle is 13 in. Find its area to the nearest whole number.

The diameter of a circle is 13 in. Find its area to the nearest whole number.

Answers

Answer:

area=22/7×13=40.85=41 is the nearest whole number

a basketball player with a poor foul-shot record practices intensively during the off-season. he tells the coach that he has raised his proficiency from 60% to 80%. dubious, the coach asks him to take 10 shots, and is surprised when the player hits 9 out of 10. did the player prove that he has improved?

Answers

The probability he can hit at least 9 of 10 shots anyway is 0.0463 or 4.63%

Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.

Given\(=60\)%\(=0.60\)

n\(=10\)

Definition binomial probability:

\(P(X=k)=(n^{k} )*(P^{k} )*(1-P)^{n-k}\)

Evaluate for \(k=9\) and \(k=10\)

P\((X=9)=0.0403\)

P\((X=10)=0.0060\)

Add the corresponding probabilities:

P\((x\geq 9)=P(X=9)+P(X=10)=0.0403+0.0060=0.0463=4.63\)%

Command Ti83/84 command: binompdf(10,0.60,9)+binompdf(10,0.60,10)

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Which of the following has eight faces?ООO A. octahedronO B. tetrahedronO C. icosahedronO D. dodecahedron

Which of the following has eight faces?O A. octahedronO B. tetrahedronO C. icosahedronO D. dodecahedron

Answers

Given:

The number of faces =8.

Required:

We need to find the polyhedron with 8 faces.

Explanation:

Recall that the tetrahedron is a polyhedron composed of four triangular faces

The number of faces in tetrahedron =4.

Recall that the octahedron is a polyhedron with 8 faces.

The number of faces in the octahedron= 8.

Recall that the dodecahedron is a polyhedron with 12 faces.

The number of faces in the dodecahedron = 12.

Recall that the icosahedron is a polyhedron with 20 faces.

The number of faces in icosahedron =20.

Final answer:

octahedron

What is the slope of a line perpendicular to the line y=4x+7

Answers

Answer:

4

Step-by-step explanation:

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Please help.Is algebra.PLEASE HELP NO LINKS OR FILES.I don't want links.

Answers

Answer:

C.14ײ+5

Step-by-step explanation:

Hope It Help

Brainliest please

(7x+1)(2x+5)
7x*(2x+5) + 1(2x+5)
14x2 + 35x + 2x + 5
14x2 + 37x + 5



Plug in x = -4 in the inequality -3x +4 19 what is your result? Plug in a number that is greater than your solution? Does it work out the way it's supposed to? Why or
Why not?
20 Bonus points will be awarded to those who can provide an EXACT and DETAILED correct answer.

Answers

The original inequality is -3x+4 > 19

Let's replace x with -4 and see what happens.

-3x + 4 > 19

-3(-4)+4 > 19

12+4 > 19

16 > 19

The last inequality is false, so the original inequality is false when x = -4.

This means x = -4 is not a solution to -3x + 4 > 19

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

Let's plug in something larger. Let's say x = -3 which is one space to the right of -4 on the number line.

So we get...

-3x + 4 > 19

-3(-3) + 4 > 19

9 + 4 > 19

13 > 19

This doesn't work either. The value x = -3 is not a solution.

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

Let's determine which x values will work by solving for x

-3x + 4 > 19

-3x + 4 -4 > 19-4 ... subtracting 4 from both sides

-3x > 15

-3x/(-3) < 15/(-3) ... divide both sides by -3; inequality sign flips

x < -5

The solution set consists of values smaller than -5

So values like {-6, -7, -8, -9, ...} and decimal values as well in that interval.


Tamara caught a fish that weighs 5.6 pounds. Victoria
caught a fish that weighs 3.4 pounds. What is the
difference between the weights of the fish?

Answers

Answer:

2.2 pounds

Step-by-step explanation:

Your welcome

2.2 is the answer
5.6
-3.4
———
2.2

PLS HELP I WILL MARK BRAINLIST AND GIVE THANKS!!

PLS HELP I WILL MARK BRAINLIST AND GIVE THANKS!!

Answers

Answer:

25(7)=175

Step-by-step explanation:

hope this help :3

CAN SOMEONE PLEASE HELP ME

CAN SOMEONE PLEASE HELP ME

Answers

Answer: <ACB = 50 degrees

Step-by-step explanation: Since the interior angles of a triangle is always equal to 180 degrees, you would add both given degrees which is 40 and 90 (because of the right angle) and then subtract that answer (130) from 180

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Outline the Revenue Equivalence Theorem for the standard auctiontypes. Under what circumstances are the auctions likely to lead toan efficient price for the item being sold? many 20th century composers created music not for the general public.. T/F? Telescopes operating at this wavelength must be cooled to observe faint astronomical objects.A) visibleB) gamma-rayC) extreme infraredD) radioE) X-ray Let a 2 - D array declaration be char Arr[100][100] store data such that the base address of the array is 0. Additionally, considering the array to be byte addrassable, what would be the address of element stored at arr[20][30]. A user is experiencing garbled print on each page printed from her printer.Which of the following would be a probable cause for the garbled print? (Select TWO.)a. Print drivers are corrupt or need to be updated.b. An application on the computer is sending garbled print.c. Ink cartridge has clogged nozzles.d. Printer needs to be calibrated.e. Printer paper does not meet specifications.f. Printer needs to be cleaned. Rosie bought 59 pounds of bananas and 512 pounds of oranges. How much fruit did Rosie buy in all? when a three-phase motor fails due to voltage unbalance, one or two of the stator windings become blackened. the ? winding is the winding with the largest voltage unbalance. . Supply Chain Design Muslin Office Furniture manufactures a popular line of filing cabinets and has a very strong competitive position in its market. The company sells its product to a number of wholesale distributors who, in turn, sell to retail customers. In this environment, the company faces a demand curve of the following form Q=20-0.6P where P, denotes its selling price and Q/ denotes the volume (in thousands) sold at that price. Muslin also experiences increasing marginal costs of the form 0.801. (This means that its total cost is 0.8(01)2/2.) Increasing marginal costs occur because of quality losses and congestion on the shop floor as volume rises. One of Muslin's distributors is a subsidiary known as New England Supply. They represent Muslin's exclusive distributor in the northeast, and the parent company allows them to operate as an independent entity, focused on distribution. They buy filing cabinets from Muslin and sell them to retail customers in the northeast. In that market, New England Supply faces its own demand curve as follows Q-10-0.2P, where P2 denotes the retail selling price and Q2 denotes the volume (in thousands) sold in the northeast at that price. New England Supply incurs its own operating costs, in addition to the cost of purchasing the product from Muslin, so that its marginal cost function takes the form P,+ 0.402. This means that its total cost is P1Q2 +0.4(02)/2. (a) Suppose that Muslin Office Furniture and New England Supply each analyze their own pricing strategies separately. That is, Muslin finds its profit-maximizing price. Then New England Supply, whose cost is influenced by Muslin's price, maximizes its own profits. What is cach firm's optimal price and how much profit is eamed between the two companies? (b) Suppose instead that the two firms make coordinated decisions. In other words, they choose a pair of prices, one wholesale and one retail, aimed at maximizing the total profit between the two firms. What is each firm's optimal price in this coordinated environment? How much profit is earned between the two companies? a cliff diver drops from rest to the water below. how many seconds does it take for the driver to go from 0 mi/h to 60 mi/h? (for comparison, it takes about 3.5 s to 4.0 s for a powerful car to go from 0 to 60 mi/h.) 1//3 x 3.14 x 16^2 x 10 Solve the inequality d/4 > 36 for dA. d < 9B. d < 144C. d > 144D. d > 9 Tom --------- to university at 7 amevery morning. minimise the following expression 4a+5b+6c. Anyone know the volume of this sphere? Can someone help with this?Question: "Think you can figure out the answer here"?Triangle + Triangle + Triangle = 30.Triangle + Circle + Circle = 20Circle + Square + Square = 13Triangle + Circle x Half of one square = ?What I mean by "half of one square" is that the squares are divided in two like a grilled cheese cut in half. There's one square with only one half of it. Instructions. For each example presented below, identify whether positive reinforcement (PR), negative reinforcement (NR), or punishment (PUN) is illustrated by placing the appropriate abbreviation in the blank next to the item._____ 1. Police pulling drivers over and giving prizes for buckling up_____ 2. Suspending a basketball player for committing a flagrant foul_____ 3. A soccer player rolls her eyes at a teammate who delivered a bad pass_____ 4. A child snaps her fingers until her teacher calls on her_____ 5. A hospital patient is allowed extra visiting time after eating a complete meal_____ 6. Receiving a city utility discount for participating in a recycling program_____ 7. Grounding a teenager until his or her homework is finished_____ 8. Scolding a child for playing in the street_____ 9. A prisoner loses TV privileges for one week for a rule violation_____ 10. A parent nagging a child to clean up her room In a hypothetical economy, money market is in balance. Money demand is determined by the equation L: 100 + 0.2 * Y - 600 *R where Y is the level of total income. and R = interest rate. Money demand is M = 0.4 * Y. Initially, the interest rate = 10%. What will happen to the money market if income increases by 10% and the interest rate remains unchanged? Solve and write your solution plus choose one of the following:a. There will be surplus supply of 4 monetary units.b. There will be surplus demand of 84 monetary units.c. There will be surplus demand of 4 monetary units.d. There will be surplus supply of 88 monetary units. why might a global firm choose to use covered interest arbitrage? Select all the correct answers.If the measure of angle is 8 is , which statements are true?cos (0) = -2The measure of thereference angle is 30.O The measure of the reference angle is 45.Otan (0) = -1sin(0) = -2The measure of the reference angle is 60.ResetNext Which of the following statements about JIT is correct? a. JIT seeks to reduce inventory in an effort to eliminate waste b. JIT is useful for a high product variety environment c. JIT is also called Toyota push system d. JIT applies successfully only in assembly systems e. JIT is necessary for achieving exceptionally high quality