What is the value of X?

What Is The Value Of X?

Answers

Answer 1

Answer:

Step-by-step explanation:

x^2=4^2+4.7^2

x^2=38.09

x=√38.09

x=6.1717

x=6.2(nearest tenth)

Note that x=radios of the circle


Related Questions

Which statement about population parameters and point estimates is false?​

Answers

Answer: s is the population standard deviation. it is the square of the variance.

Step-by-step explanation:

i just did the quiz

Answer:

B

Step-by-step explanation:

A P E X

-3(5-x^2+2) multiply

Answers

Answer:

3 x ^2  −  21

Step-by-step explanation:

Answer:

3x²-21

Step-by-step explanation:

-3(5-x² +2)

combine like terms in the parenthesis (5 and 2=7)

-3(-x² +7)

distribute the 3 so multiply -3 and -x² and 3 and 7

-3(-x²) = 3x² because a double negative is a positive

-3(7) = -21 because a negative and positive is a negative

For the high school basketball game, it costs $8 for every 4 tickets.
Complete the table below showing the cost and the number of tickets.

Answers

Answer:

there is no graph

Step-by-step explanation:

$8   16    24     32   40     48      56      64   72      80

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

 4     8     12     16    20     24     28     32     36     40

Final answer:

The question is about calculating the costs associated with purchasing tickets, given a known rate of $8 for every 4 tickets. Using the formula cost equals 2 times the number of tickets, one can calculate the total cost for any number of tickets, maintaining a direct proportionality.

Explanation:

Finding Costs Based on Ticket Quantities

To determine the cost for a varying number of tickets given the rate of $8 for every 4 tickets, we can set up a proportional relationship where the cost (C) is related to the number of tickets (T) by the constant of proportionality 8/4, or 2. Therefore, C = 2T, which means that the cost is simply twice the number of tickets because 8 dollars are charged for every 4 tickets.

We can fill out the table using the formula C = 2T, where C represents the total cost and T represents the number of tickets:

For 4 tickets: C = 2(4) = $8

For 8 tickets (twice the initial quantity): C = 2(8) = $16

And so on, for each additional set of 4 tickets, we add another $8 to the cost.

If we were to complete the hypothetical table, for each additional 4 tickets, we would add $8 to the total cost, maintaining this direct proportionality.

pen needs to be rectangular in shape however it will be built along a river side of the pen that does not need to be fenced. The farmer has a total of 700 feet of fence to build the pen. Determine the dimensions that will maximize area of the pen

Answers

Answer: The dimensions that will maximize area of the pen are 350 ft by 175 ft

Step-by-step explanation: The farmer has a total of 700 feet of fence for a rectangular pen which is in effect the perimeter. However, one side is by the river and would not need to be fenced. Hence we can determine that the perimeter would cover three sides only.

This means the sides would be in the ratio of 2 : 1 : 1

Hence, one side would be 2/4 and the other two sides would be 1/4 each

For the whole 700 meters of fencing, the sides can be calcualted as follows;

Length = 2/4 x 700

Length = 350

Width = 1/4 x 700

Width = 175

Therefore, with the length of fence available, the dimensions for the rectangular pen would be

Length = 350 ft

Width = 175 ft

Which one is right I'm giving all my pt

Answers

[tex]5^{3(x-2)} = 5^{3x - 6} = 5^{3x} 5^{-6} = 5^{-6} 5^{3x} = a 5^{3x}[/tex]

so

[tex]a = 5^{-6}[/tex]

Answer: 5⁻⁶  second choice

I think that it’s the 2nd option

tom and adam have a total of 240 stamps.The ratio of the number of tom's stamps to adam's is 3:7.Tom buys some stamps from Adam.The ratio of tom's stamp to adam's is now 3:5.How many stamps does tom buy from adam

Answers

Answer:

18

Step-by-step explanation:

In both cases, the number remains constant, 240 stamps.

Given that 3:7 is equal to 3/10 to 7/10

Initially, Tom had 3/10*240=72 stamps

Finally, 3:5 equal to 3/8 to 5/8

Tom has 3/8*240=90 stamps

Difference is 90-72=18 stamps

Therefore, Tom bought 18 stamps from Adam and Adam didn't replace

Final answer:

Given the initial and new ratios of Tom's and Adam's stamps, and the total number of stamps they have, we can setup and solve an equation which reveals that Tom bought 48 stamps from Adam.

Explanation:

This math question involves the concept of ratios and some algebra. Given that Tom and Adam initially had a total of 240 stamps between them in a ratio of 3:7, we can divide 240 by the total parts of their ratio (3 + 7 = 10 parts). So, one 'part' is 240 divided by 10, which equals 24.

Therefore, Tom initially had 3 parts i.e., 3*24 = 72 stamps while Adam had 7 parts i.e., 7*24 = 168 stamps.

After Tom buys some stamps from Adam, their ratio changes to 3:5. Let's denote the number of stamps Tom bought as x. Then, Tom would have 72 + x stamps, while Adam would have 168 - x stamps.

Since their ratio is now 3:5, we can set up an equation represented by (72 + x) / (168 - x) = 3 / 5. Solving this equation gives us x = 48.

So, Tom bought 48 stamps from Adam.

Learn more about Ratios here:

https://brainly.com/question/32531170

#SPJ3

PLEASE HELP I WILL MARK U AS BRAINLIEST




The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:

Step 1: 8 + 16x
Step 2: 4(4) + 4(12x)
Step 3: 4(4 + 12x)
Step 4: Dimensions of the rectangle are 4 and 4 + 12x


In which step did the student first make an error and what is the correct step?

1)

Step 3; 4 + (4 + 12x)


2)

Step 3; 4 + (4 ⋅ 12x)


3)

Step 2; 4(2) + 4(4x)


4)

Step 2; 4(2) + 4x(2)

Answers

Answer:

3

Step-by-step explanation:

If you divide 8 +  16x, you get 4(2) + 4(4x), not 4(4) + 4(12)

He subtracted instead of dividing.

4 is wrong because it says 4x(2). You are dividing by 4, not 4x

Answer:

The answer is 3

Step-by-step explanation:

Please mark me brainiest anybody and please like and rate 5 stars

What is the value of X I. The rhombus below?
A. 25
B. 43
C. 47
D. 21

Answers

Answer:

21

Step-by-step explanation:

Liu wants to decorate some cakes with shapes.
She has 140 shapes.
Each shape is a star or a heart.
The ratio of the number of stars : to hearts is 4:3.
She wants to put 5 stars and 4 hearts on each cake.
How many cakes can Liu decorate?
Show full working to support your answer.​

Answers

Answer:

15 cakes can be decorated.

Step-by-step explanation:

Given:

Total number of shapes Liu has = 140

Ratio of shape of stars and hearts = 4 : 3

According to the question:

Each cake have 5 stars and 4 hearts.

Let the number of starts be "4x" and number of hearts be "3x" from the ratio.

Now,

⇒ [tex]4x+3x=140[/tex]

⇒ [tex]7x=140[/tex]

⇒ [tex]x=\frac{140}{7}[/tex]

⇒ [tex]x=20[/tex]

Number of stars = [tex]4x =4(20) =80[/tex]

Number of hearts = [tex]3x=3(20)=60[/tex]

Each cake have 5 stars and 4  hearts .

How many cakes can be decorated with 80 stars.

⇒ No.of cakes = Total number of stars / 5

⇒ [tex]C=\frac{80}{5}[/tex]

⇒ [tex]C=16[/tex]

How many cakes can be decorated with 60 hearts.

⇒ [tex]C=\frac{60}{4}[/tex]

⇒ [tex]C=15[/tex]

But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.

Liu can decorate 15 cakes and only.

Final answer:

Liu can decorate 15 cakes with the 140 shapes she has, given the ratio of stars to hearts and the number of each she wants to put on each cake.

Explanation:

Liu wants to decorate cakes with a total of 140 shapes, where the ratio of the number of stars to hearts is 4:3. To find out how many shapes there are of each type, we first need to determine how many groups of 4 stars and 3 hearts are in 140 shapes.

Total ratio parts = 4 (stars) + 3 (hearts) = 7 parts.

Total groups of shapes = 140 shapes ÷ 7 parts per group = 20 groups.

So, there are 20 groups of stars and 20 groups of hearts. Now, we need to find out how many of each shape there are:

Stars = 20 groups × 4 stars/group = 80 stars

Hearts = 20 groups × 3 hearts/group = 60 hearts

Liu wants to put 5 stars and 4 hearts on each cake. The number of cakes she can decorate is limited by the shape she has the least of, which is the hearts. Now, let's calculate:

Cakes decorated with hearts = 60 hearts ÷ 4 hearts/cake = 15 cakes

Therefore, Liu can decorate 15 cakes with 5 stars and 4 hearts each, since the hearts will run out after 15 cakes.

Question?
One angle of a triangle measures 116°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is
= 180.
The congruent angles each measure

Answers

Answer:

180 - 116 = 64 so the congruent angles measure 64/2 which is 32.

Step-by-step explanation:

Final answer:

To find the measure of the congruent angles in a triangle with one angle measuring 116°, you can use the fact that the sum of the interior angles of a triangle is 180 degrees. By solving the equation, you can calculate the measure of the congruent angles as 32°.

Explanation:

Question: One angle of a triangle measures 116°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles.

To find the measure of the congruent angles, we know that the sum of the angles in a triangle equals 180 degrees. Let x be the measure of each congruent angle, then the equation to solve is: 116 + x + x = 180. Simplify to find x.

Answer: By solving the equation 116 + x + x = 180, x = 32°. Therefore, each congruent angle measures 32°.

Is 7x and 5x are like terms

Answers

Answer:

Yes

Step-by-step explanation:

Think of x as apples

You have 7 apples and 5 apples you can mix them together and you have 12 apples and you would not be able to sort them apart

7x+5y are not like terms

You have 7 apples and 5 grapes.  You can easily tell them apart.

The current student population of the Brentwood student center is 2000 the enrollment at the center increases at a rate of 4% each year to the nearest whole number what will the student population be close to in three years

Answers

Answer:

Step-by-step explanation:

Find the 4% of the 2000.

Then, add it to the 2000.

Keep adding the 4% which is 0.8 to the new sum until you get up to the third year and there you go!

Hope this help you!

Solve |4x – 3| = –1

Question 8 options:

A)
x = 4

B)
x = –4 or x = –3

C)
x = 4∕3

D)
No solutions

Answers

Answer:

D)  No solutions

Step-by-step explanation:

|4x – 3| = –1

There are no solutions

Absolute value means positive ( or zero)

It cannot be negative

Is the expression below linear or non-linear?

102x−14

Answers

yes it’s is in fact linear

Answer:   linear             stay safe have a good day and good luck

Step-by-step explanation:

Drake has a beach ball with a diameter close to 12in. Find the volume of this beach ball!

Answers

Answer:

905 in^3

Step-by-step explanation:

formula is [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]

radius is 6

if the radius is 6 then the volume would be 904.78 (288 π)

An economy package of cups has 660 green cups. If the green cups are 30% of the total package, how many cups are in the package?

A. 690

B. 198

C. 2,200

D. 1,980

Answers

There are 2200 cups in the package.

Please helpp!!!

Jack is a software salesman. His base salary is $1200, and he makes an
additional $50 for every copy of software he sells.
Let P represent his total pay (in dollars), and let N represent the number of
copies of software he sells.

a) Write an equation relating P to N.

b) Use the equation from part a to find his total pay if he sells 24 copies of
software.

Answers

Answer:

Step-by-step explanation:

a) Jack's additional income = N * 50 = $ 50N

P = 1200 + 50N

b) N = 24 copies

P = 1200 + 50*24

 = 1200 + 1200

P = $ 2400

The circumference of a circle is 25 m. What is the area, in square meters?
Express your answer in terms of .

Answers

The area of a circle given its circumference  is 49.48 m^2.

The circumference of a circle is 25 m.

Step-by-step:

Use the formula for circumference: Circumference = 2πr, where r is the radius.

Given Circumference = 25 m, then find the radius using the formula: 25 = 2πr.

Calculate the radius: r = 25 / (2π).

Once you find the radius, use the formula for the area of a circle:

Area = πr^2

        =  π * 25/2π * 25/2π

        = 625/(4 * 3.14)

        = 49.48 m^2

Therefore, the area of the circle is approximately 49.48 m^2.

20] Daseu ullule experiment, what is the probability of February mo
true regarding the number of
26] Based on the experiment, if a month is selected 300 times, which state
times you would expect to select a month that starts with the letter J
A. 60 times; 15 more than theoretically expected
B. 60 times; 15 less than theoretically expected
C. 45 times; 5 more than theoretically expected
D. 45 times; 5 less than theoretically expected

Answers

Answer for 26 should be D

Find the Center and Radius in the equation (x+3)2+(y+4)2=25

Answers

Answer:

(- 3, - 4 ) and r = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 3)² + (y + 4)² = 25 ← is in standard form

(x - (- 3))² + (y - (- 4))² = 5²

with centre = (- 3, - 4) and r = 5

Determine the total number of roots of each polynomial function using the factored form.f (x) = (x - 6)2(x + 2)2

Answers

Answer:

4

Step-by-step explanation:

4

Answer:

Step-by-step explanation:

For the triangle shown, describe which sides are the legs and which are the hypotenuse. Explain how you know.

Answers

Answer:

legs: a and b

hypotenuse: c

Step-by-step explanation:

The legs of a right triangle are the two sides that intersect to determine the right angle. The  remaining side is called the hypotenuse.

Answer:

a and b are the legs, and c is the hypotenuse

Step-by-step explanation:

The legs of a right triangle are always the sides that form the right angle. Looking at the picture, we see that at one corner of the triangle, there's a little square. Remember that this little square always denotes an angle with degree 90, which means this is the right angle. Then, since sides a and b form this angle, we know that a and b are the legs.

Another thing to remember is that the hypotenuse of a right triangle is the side that lies opposite to the right angle. Here, you can see that side c lies opposite to the right angle, so we know it's the hypotenuse.

Hope this helps!

What is the answer to 3x - 18?

Answers

Answer:

3(x-6)

Step-by-step explanation:

i love math

Answer:

3(x-6)

Step-by-step explanation:

Rewrite 18 as 6x3

3x-3x6

Factor out x from 3

3(x-6)

Brainlist


Hazel is walking a 5-kilometer race to raise money for a cause. She has walked 2,200 meters. How many more kilometers does she have left to walk?

Answers

Answer:

2.8 km

Step-by-step explanation:

2200 meters = 2200/1000 = 2.2 km

5 - 2.2 = 2.8 km

If the temperature on the ground is 70 F then

Answers

Answer: try to (x) each one by the answer to -0.0035 +70

Step-by-step explanation:

Answer:

11000: 31.5 °F15000: 17.5 °F18000: 7 °F

Step-by-step explanation:

When you have repetitive calculations to do, it is often convenient to let a calculator or spreadsheet do them for you.

Basically, put the value of "a" into the formula and do the arithmetic.

  Example: for 11000 ft, -0.0035·11000 +70 = -38.5 +70 = 31.5

While solving an equation for x lewis is left with the equation 2=4. Explain why lewis can be certain that the equation does not have a solution

Answers

Answer: You do not have x alone on one side, therefore, you can be certain the equation has no solution!!

Step-by-step explanation: In order for the equation to have a solution it must look like this:

x= and some number

Final answer:

Lewis can be certain there is no solution to the equation because ending up with '2=4' is a contradiction, and two distinct constants cannot be equal.

Explanation:

When solving an equation, if you simplify all the expressions and end up with a statement such as 2=4, this indicates that the equation does not have a solution. This situation is also known as a contradiction because 2 and 4 are distinct constants and cannot be equal. A step-by-step approach might include starting from the original equation, performing algebraic manipulations, and then arriving at an absurd conclusion, which tells us the equation has no solution.

In contrast, when solving quadratic equations, such as x² = 4, you might get valid solutions like √4=±2, which indicate a solution set of {-2, 2}. However, if your result contradicts a fundamental truth, like the equality 2=4, it's clear that the equation has no feasible solution within the realm of real numbers.

Write the equation of a line that is parallel to y=9 and that passes through the point (3,-8). Please help this is due soon

Answers

Answer:

Slope of the given line y=9 is zero

so the slope of the required line is also zero.

m=0

Using point- slope form

y-y1 = m (x -x1)

y + 8 = 0 ( x - 3)

y + 8 = 0

y = - 8

Y= -8 because the line y=9 is horizontal with no slope

What is the solution to the following equation?
4(3x - 6) + 15 = 27
O2
03
04
05​

Answers

Answer: [tex]x=3[/tex]

Simplify both sides of the equation

[tex](4)(3x)+(4)(-6)+15=27(Distribute)\\12x+-24+15=27[/tex]

[tex](12x)+(-24+15)=27[/tex](Combine Like Terms)

[tex]12x+-9=27[/tex]

Add 9 to both sides

[tex]12x-9+9=27+9\\12x=36[/tex]

Divide both sides by 12

[tex]12x/12=36/12\\x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

Pull out like factors :  3x - 6  =   3 • (x - 2)

step 2 : (12 • (x - 2) +  15) -  27  = 0

Pull out like factors :   12x - 36  =   12 • (x - 3)

 step 4 :   12 • (x - 3)  = 0

  Solve  :    x-3 = 0

x = 3

solve for x 3(x + 4) = 21

Answers

Answer:

x=3

Step-by-step explanation:

3+4=7

3x7=21

Answer:

x=3

Step-by-step explanation:

3(x+4) = 21

3x+12 = 21

3x+ 12 = 21

     -12 = + 12

3x = 9

3x = 9

[tex]\frac{3x}{3}[/tex] = [tex]\frac{9}{3}[/tex]

x = 3

Sean wrote the equation 9.25 = 5m, where m is the cost per pound of pears, to show the relationship between the total cost and the number of pears he bought at Quick Mart.

What is the unit cost per pears? Write an equation.

Does this relationship represent a proportional relationship? Use a graph to prove it. Explain how the graph proves the situation is a proportional relationship.

Answers

Answer:

see the explanation

Step-by-step explanation:

The correct question is

Sean wrote the equation 9.25=5m, where m is the cost per pound, to show the relationships between the total cost, $9.25, and the number of pounds of pears, write an equation to show the cost y of x pounds of pears, and use the equation to complete the table. then use the information in your table to make a graph

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

y ----> the total cost

x ---> the number of pounds of pears

In this problem we have a proportional relationship between the variables x and y

we have

[tex]9.25=5m[/tex]

where

m is the cost per pound of pears

That means

The value of m and the value of the constant k of proportionality is the same

Find the value of m

[tex]9.25=5m\\m=\$1.85\ per\ pound[/tex]

The linear equation is equal to

[tex]y=1.85x[/tex]

Construct the table

assume different values of x and determine the value of y

[tex]For\ x=0 ----> y=1.85(0)=0[/tex]

[tex]For\ x=1 ----> y=1.85(1)=1.85[/tex]

[tex]For\ x=2 ----> y=1.85(2)=3.70[/tex]

[tex]For\ x=3 ----> y=1.85(3)=5.55[/tex]

[tex]For\ x=4 ----> y=1.85(4)=7.4[/tex]

[tex]For\ x=5 ----> y=1.85(5)=9.25[/tex]

therefore

[tex]\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}[/tex]

using a graphing tool

The grahp in the attached figure

Final answer:

The unit cost per pound of pears is $1.85, found by dividing the total cost ($9.25) by the number of pounds (5). This represents a proportional relationship, as the graph of the equation y = 5x is a straight line through the origin, showing a constant ratio of total cost to pounds of pears.

Explanation:

The question regarding the equation 9.25 = 5m asks us to find the unit cost per pound of pears and determine whether the relationship represents a proportional relationship. To find the cost per pound, we simply need to divide both sides of the equation by 5. This gives us m = 9.25 / 5, which calculates to m = $1.85. Therefore, the unit cost per pound of pears is $1.85.

To test for a proportional relationship, we can graph the equation y = 5x, where 'y' is the total cost and 'x' is the number of pounds of pears. A proportional relationship is one where the ratio of y to x is constant, and the graph is a straight line through the origin. Since our equation represents a linear relationship that passes through the origin (0,0), it confirms that this is, indeed, a proportional relationship. The graph would show a straight line with a slope of 5, indicating that for every increase of 1 pound of pears, the cost increases by $5.

Other Questions
A farmer sells 9.1 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market? which is the graph of the linear function that is represented by the equation y = 1/2 x 2 In 2007, the economy slipped in a recession that many called the worst since the Great Depression. This caused people to experience a general decrease in their income levels. At the same time, there was an increase in the price of wheat used to make Ramen Noodles (an inferior good). Given these two effects, what would happen to the equilibrium price and quantity of Ramen Noodles 2.36 Is it worth it?: Andy is always looking for ways to make money fast. Lately, he has been trying to make money by gambling. Here is the game he is considering playing: The game costs $2 to play. He draws a card from a deck. If he gets a number card (2-10), he wins nothing. For any face card ( jack, queen or king), he wins $3. For any ace, he wins $5, and he wins $25 if he draws the ace of clubs. Round answers to 2 decimal places. a) Andy's expected profit per game is: $ b) Would you recommend this game to Andy as a good way to make money? Explain. Yes, Andy could be lucky and might earn money in the long-run playing this game No, we expect Andy to lose money each time he plays this game The 22 members of a baseball team are trying to raise at least $1968.00 to cover the traveling cost for a holiday tournament. If they have already raised $421.00, at least how much should each member still raise, on average, to meet the goal Answer please, no explanation needed. The clinician wants to calculate Ann's BMI but she must first measure her height and weight. What should the clinician include when assessing Ann's weight in order to obtain the most accurate measurement? Use a beam scale to measure Ann's weight and ask her to stand still while measuring.Stethoscopeguage monitor Christopher has at most \$18.50$18.50dollar sign, 18, point, 50 to spend at a convenience store. He buys one bag of bananas for \$1.50$1.50dollar sign, 1, point, 50 and a bottle of apple juice for \$1.55.$1.55.dollar sign, 1, point, 55, point If gasoline at this store costs \$2.35$2.35dollar sign, 2, point, 35 per gallon, which of the following number of gallons can he buy for his car without exceeding his budget? How many molecules is 1.50 moles of CO2 In 1814, Gibbons versus Ogden upheld the power of the Federal government to regulate commerce.Please select the best answer from the choices providedTF A ski lift has a one-way length of 1 km and a vertical rise of 200 m. The chairs are spaced 20 m apart, and each chair can seat three people. The lift is operating a a steady speed of 10 km/h. Neglecting friction and air drag and assuming the average mass of each loaded chair is 250 kg, determine the power required to operate this ski lift. Also estimate the power required to accelerate this ski lift in 5 s to its operating speed when it is first turned on. (steady power = 68.1 kW; start-up = 43.7 kW) Barry needs to find the area of a rectangular room with a length that is 2 feet longer than the width. Write an expression for the area of the rectangle in terms of the width. Following the devastating fire that destroyed three-quarters of London, ________, an architect, scientist, professor and one of the founding fathers of the Royal Society of London, was commissioned to prepare designs for the city's reconstruction and the new St. Paul's Cathedral. Question options: 1) Chaucer 2) Milton 3) Wren 4) Handel The main function of the inflammatory response is 1.to initiate the production of antibodies. 2.remove contaminating microorganisms 3.initiate repair of damaged tissues. 4.initiate T-cell-mediated immune responses. Choose the volume of this trapezoidal prism Why do different persons have different notions of development? What does the baby in this cartoon represent?slaveryfreedomthe United States g A. Cutting the firm's dividend to increase investment will raise the stock price if, and only if, the return of new investments is higher than the cost of capital. B. We cannot use the constant dividend growth model to value the stock of a firm with rapid or changing growth. C. Total return equals earnings multiplied by the dividend payout rate. D. As firms mature, their earnings exceed their investment needs and they begin to pay dividends. Dr. Niels Langer, the universally recognized climatologist, says that global warming is an extremelyimportant problem that must be addressed immediately. Therefore, we should take him at his word and get towork on solving this problem right now.A. No fallacy.B. Appeal to the people.C. Appeal to unqualified authority.D. Begging the question.E. Appeal to force. What factor contributed to the fall of the Songhai Empire?inflationan invasion by Moroccansan earthquakecivil war