Use the Leading Coefficient Test to determine the end behavior of the polynomial function. f(x)=-4x2 - 2x + 1 A) rises to the left and falls to the right B) falls to the left and rises to the right C) rises to the left and rises to the right D) falls to the left and falls to the right Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=2x3-6x2-3x+15; A) -19 f(-2) B) -13 C) -31 D) -10

Answers

Answer 1

The indicated function value f(-2) for the polynomial f(x) = 2x^3 - 6x^2 - 3x + 15 is: A) -19.

To determine the end behavior of the polynomial function f(x) = -4x^2 - 2x + 1, we look at the leading coefficient and the degree of the polynomial.

The leading coefficient is -4, and the degree of the polynomial is 2.

If the leading coefficient is positive (in this case, it is negative), the polynomial rises to the right and falls to the left. If the degree is even (in this case, it is even), the end behavior is the same on both sides.

Therefore, the end behavior of the polynomial function f(x) = -4x^2 - 2x + 1 is:

D) falls to the left and falls to the right.

Regarding the second question, we need to find the value of f(-2) for the polynomial f(x) = 2x^3 - 6x^2 - 3x + 15 using synthetic division.

Substituting x = -2 into the polynomial function:

f(-2) = 2(-2)^3 - 6(-2)^2 - 3(-2) + 15

Simplifying:

f(-2) = 2(-8) - 6(4) + 6 + 15

f(-2) = -16 - 24 + 6 + 15

f(-2) = -19

Therefore, the indicated function value f(-2) for the polynomial f(x) = 2x^3 - 6x^2 - 3x + 15 is: A) -19.

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Related Questions

C. $3,006D. $3,135given, compute40 answer3. Which function has the largest value forf(-3)?) puug - 3 functionA f(x) = 2x - 5-786-33-5B. f(x) = 2 - 4x7Q-10-30C. f(x) = 6 - 3*-76-363)D. F(X) = 2* + 10 20-07104. When Mack left the bank, the temperature was 25°C. When he got htomnarature was 730F. If CA=f-32, about how many degrees

C. $3,006D. $3,135given, compute40 answer3. Which function has the largest value forf(-3)?) puug - 3

Answers

To know which function has the largest value for f(3), we need to substitute x=-3 in each function:

A. f(x)=2x-5

f(-3)=2(-3)-5=-11

B. f(x)=2-4x

f(-3)=2-4(-3)=14

C. f(-3)=6-3^(-3)

f(-3)=6-1/27

f(-3)=161/27

D. f(x)=2^(x)+10

f(-3)=2^(-3)+10

f(-3)=1/8+10=81/8

The largest value for f(-3) is 14, The answer is B f(x)=2-4x

a dataset has mean and standard deviation and median m. we transform the dataset by calculating the following value for each datapoint with value xi: (a and b are both positive numbers.) what is the variance of the new dataset? group of answer choices

Answers

Our new measures of central tendency and spread are Mean: (9+9+13+15+19)/5=13(9+9+13+15+19)/5=13.

What is mean?In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.

acc to our question-

Median: 1313Mode: 99Range: 19-9=1019−9=10

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Please help me with this

Please help me with this

Answers

I believe it’s No correlation; No.

**URGENT** PLEASE HELP WILL GIVE BRAINLIEST

**URGENT** PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

they are both 0 since they would not appear on a graph

Step-by-step explanation:

Which of the following is a line-symmetric figure?

A.
A rectangle with the top right corner and bottom left corner removed on a dot grid.
B.
An arrow shape on a dot grid.
C.
A shape similar to a slanted
D.
An irregular quadrilateral on a dot grid.

Answers

Answer: B, An arrow

Step-by-step explanation: The arrow can be folded down the middle longways to match up

Bob rents bicycles in a local park. The rental fee is described as follows: A $3 flat fee plus $4 per hour. Suppose you want to rent a bike from Bob's Bike Rentals for 6 hours. How much would it cost?

Answers

Answer: la  respuesta es 24

Step-by-step explanation:

how many distinct ordered pairs of positive integers $(m,n)$ are there so that the sum of the reciprocals of $m$ and $n$ is $\frac14$?

Answers

There are no such pairs. The sum of the reciprocals of any two positive integers is always greater than\($\frac14$\).

The sum of the reciprocals of any two positive integers is \($\frac{1}{m} + \frac{1}{n}$\), which is always greater than \($\frac14$\). Therefore, there are no distinct ordered pairs of positive integers \($(m,n)$\) so that the sum of the reciprocals of m and n is \($\frac14$\)

For any two positive integers m and n, the sum of their reciprocals is \($\frac{1}{m} + \frac{1}{n}$\) which is always greater than \($\frac14$\) This is because \(\frac{1}{m}$ ,$\frac{1}{n}\) are both positive numbers, and so their sum must be greater than \($\frac14$\)Therefore, there are no distinct ordered pairs of positive integers \($(m,n)$\) so that the sum of the reciprocals of m and n is \($\frac14$\).

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Can someone please help me with these quadratic formula word problems. I'll give the best answer the brainiest and 25 points.

Can someone please help me with these quadratic formula word problems. I'll give the best answer the
Can someone please help me with these quadratic formula word problems. I'll give the best answer the

Answers

Answer:

6.C

10.B

MARK ME AS BRAINLY

#Carry On Learning

what is the sum of first 50 positive integers ? the formulae to be used for positive integers is n(n 1)/2

Answers

The sum of the first 50 positive integers is 1275.

The sum of the first 50 positive integers can be calculated using the formula n(n+1)/2. This formula is used to calculate the sum of the first n positive integers, where n is the number of integers.

The sum of the first 50 positive integers can be found using the formula n(n+1)/2. This formula is used to find the sum of consecutive numbers. In this case, the first 50 positive integers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50. When plugged into the formula, n = 50 and n + 1 = 51. When these values are plugged into the formula, the sum of the first 50 positive integers is 1275. 50 (50 + 1) / 2 = 1275.For the first 50 positive integers, n = 50. Therefore, the sum can be calculated as follows:

50(50+1)/2 = 50 x 51/2 = 2550/2 = 1275

Therefore, the sum of the first 50 positive integers is 1275.

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A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal

Answers

To find the radius of a circle, you can use the formula for circumference: C = 2πr, where C is the circumference and r is the radius. In this case, the circumference is 7,850 units and we're using 3.14 for pi.

7,850 = 2 * 3.14 * r

Now, we'll solve for r:

7,850 = 6.28 * r

r = 7,850 / 6.28

r ≈ 1,250

So, the radius of the circle is approximately 1,250 units.

NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Answer: X=147

Step-by-step explanation:

33+114= 147

two angles added together equals x

x=147

114+33=147
180-147=33
X=147°

How do you solve -7x – 13 ≥ 8 ?

Answers

Answer:

x ≥ - 3

Step-by-step explanation:

Step 1:

- 7x - 13 ≥ 8       Equation

Step 2:

- 7x ≥ 21      Add 13 on both sides

Step 3:

x ≥ 21 ÷ - 7      Divide

Answer:

x ≥ - 3

Hope This Helps :)

Answer:     x≤−3

Step-by-step explanation:

So first you  -7*x-13-(8)≥0

then you are supposed to pull out like the factors  -7x - 21  =   -7 • (x + 3)

then you divide both sides by -7 then you flip the inequality sign remember that :). then subtract 3 from both sides. and then you got  x ≤ -3 So I really hoped this helped :)

A rectangular prism has a length 4 1/4 in., a width of 3 in., and height of 1 1/4 in.

which expressions can be used to find the volume of the prism.

Select EACH correct answer.

A.) 1 1/4 (3+4 1/4 )

B.) 4 1/4 times 3 times 1 1/4

C.) 12 3/4 times 1 1/4

D.) 1/2 (12 3/4 times 1 /14)

PLEASE HELP ALL 25 OF MY POINTS

Answers

Answer:

B, C.

Step-by-step explanation:

B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.

C, since you would also get 255/16.

Please tell me if im wrong! im only a student .m.

part 2: even and odd functions classify each of the following functions as even, odd or neither. be sure to include your work to justify your classification. (10 points each)

Answers

The final answers are as follows: Function f(x) is even.

Function g(x) is odd.

Function h(x) is neither even nor odd

To determine if a function is even, we check if f(x) = f(-x) for all x in the domain. Let's evaluate f(x) and f(-x) for the given function:

f(x) = \(x^{2}\) + 2\(x^{4}\)

f(-x) = \(-x^{2}\) + 2\(-x^{4}\)

Since f(x) = f(-x), the function is even.

Function: g(x) = \(x^{3}\) - x

To determine if a function is odd, we check if f(x) = -f(-x) for all x in the domain. Let's evaluate g(x) and -g(-x) for the given function:

g(x) = \(x^{3}\) - x

-g(-x) = -\(x^{3}\) - (-x) = -\(x^{3}\) + x

Since g(x) = -g(-x), the function is odd.

Function: h(x) = 2x + \(x^{2}\)

To determine if a function is even or odd, we need to satisfy the conditions mentioned above. Let's evaluate h(x) and h(-x) for the given function:

h(x) = 2x + \(x^{2}\)

h(-x) = 2(-x) + -\(x^{2}\) = -2x + \(x^{2}\)

Since h(x) is not equal to h(-x) or -h(-x), the function is neither even nor odd.

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A baby is b weeks old. How old will it be in five weeks time​

Answers

Answer:

b(5)

Step-by-step explanation:

pls I am not sure

pls I really don't  want any bad comment I already feeling bad

hi!! <3 i attached a picture of a easy trigonometry question can you please help if you don’t mind <33

hi!! &lt;3 i attached a picture of a easy trigonometry question can you please help if you dont mind

Answers

Answer:

Side AB has a length of 4, and side BC has a length of 11.7

Help me on this final question

Help me on this final question

Answers

ΔABC and ΔA'B'C' are not similar because the length of corresponding sides are not in proportion.

We have two Triangles as ΔABC and ΔA'B'C'

Now, In ΔABC and ΔA'B'C'

AB / A'B = 16 /10 = 8/5

CB / C'B' = 10/8 = 5/4

AC / A'C' = 18/12 = 3/2

So, the triangle ΔABC and ΔA'B'C' are not similar.

Thus, ΔABC and ΔA'B'C' are not similar because the length of corresponding sides are not in proportion.

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Which statement best describe the sides of a rhombus? *
A) Is a parallelogram with four congruent sides
B) Is a parallelogram with only the two opposite sides congruent
C) Is a parallelogram with the opposite sides congruent but not parallel
D) Is a quadrilateral that does not have the properties of a parallelogram

Answers

Answer:

the option A is a correct ans .

Write an equation of a line that is parallel to the line y = 3x + 10
A) 2y = 6x + 8
B) y = 1/3x + 8
C) y = 6x +7
D) 2y = 2x + 10

Answers

Answer- A

Reason- in order to have two lines be parallel they must have the same slope, in this case the slope has to be 3x. If you look at A it is 2y=6x+8 and to graph it, y has to be by itself. so you divide both sides by two making it y=3x+4, and as you can see it now has a slope of 3x.

prove ΔBAD≅ΔCAD

please help if you can, offering 26 points!

prove BADCAD please help if you can, offering 26 points!
prove BADCAD please help if you can, offering 26 points!
prove BADCAD please help if you can, offering 26 points!

Answers

Answer: AA Congruence

Step-by-step explanation: In ΔBAD and ΔCAD,

                                             ∠A = ∠D =90 (Since BA⊥AD)

                                             ∠ABD = ∠DCA

                         Therefore, ΔBAD≅ΔCAD (AA Congruence)

                                 

4. If the tables were placed side-by-side so that the long sides were
next to each other instead of the short sides, what expression
represents the number of people who can sit at x tables? Explain.
The expression that represents the number of people who can sit at
x tables is Each middle table seats people for a total of
people. The first and last tables each seat an additional
on one long side for a total of more people.
(Simplify your answers.)
people

Answers

The number of people on x tables is 2n + mx

Calculating the number of people on x tables

From the question, we have the following parameters that can be used in our computation:

Tables = x

Represent the number of people on the middle tables with m

So, we have

Middle table = (x - 2) * m

Considering the first and the last tables have more people

Represent the additional number of people with n

So, we have

First and last = 2(m + n)

The number of people on x tables is

People = First and last + Middle table

This gives

People = 2(m + n) + (x - 2) * m

Expand

People = 2m + 2n + mx - 2m

Evaluate the like terms

People = 2n + mx

Hence, the number of people is 2n + mx

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A una distancia de 2 metros de la base de una torre, vemos su bandera en un Distancia de 5,39 metros en línea recta. ¿Cuál es la altura de la torre si la bandera mide 1 metro?

Answers

Answer:

La altura de la torre es de 4,0052 m.

Step-by-step explanation:

En la figura vemos que la persona está parada en C y la bandera en A.

Se dan la base y la hipotenusa, tenemos que encontrar la altitud / altura / perpendicular del triángulo.

Según el teorema de Pitágoras

hipotenusa² = base² + perpendicular²

o

perpendicular² = hipotenusa²- base²

perpendicular² = 5.39²- 2²

perpendicular² = 29.0521-4

perpendicular² = 25.0521

perpendicular = √25.0521

perpendicular = 5.0052m

Ahora, en el punto A, la altura de la bandera se incluye en la altura de la torre.

La longitud de la bandera se deduce para obtener la altura real de la torre.

perpendicular = longitud de la bandera + altura de la torre

altura de la torre = perpendicular - longitud de la bandera

            = 5.0052-1 = 4.0052m

La altura de la torre es de 4,0052 m.

From the figure we see that the person is standing at C and the flag is at A.

The base and the hypotenuse are given we have to find the altitude / height/ perpendicular of the triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

or

perpendicular²= hypotenuse²- base²

perpendicular²= 5.39²- 2²

perpendicular²= 29.0521-4

perpendicular²= 25.0521

perpendicular= √25.0521

perpendicular= 5.0052m

Now at the point A the height of the flag is included in the height of the tower.

The length of the flag is deducted to get the actual height of the tower.

perpendicular= flag length  + tower height

tower height = perpendicular - flag length

            =5.0052- 1= 4.0052m

The tower height is 4.0052m

A una distancia de 2 metros de la base de una torre, vemos su bandera en un Distancia de 5,39 metros

Which stem-and-leaf plot represents this data?

80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78

Which stem-and-leaf plot represents this data?80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78
Which stem-and-leaf plot represents this data?80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78
Which stem-and-leaf plot represents this data?80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78
Which stem-and-leaf plot represents this data?80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78

Answers

The second one represents the data.

NEED HELP ASAP!!!!!
What is the probability that both events will occur?
A coin and a die are tossed.
Event A: The coin lands on heads
Event B: The die is 5 or greater
P(A and B)= ?

NEED HELP ASAP!!!!!What is the probability that both events will occur? A coin and a die are tossed.

Answers

The probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

To find the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur, we need to determine the individual probabilities of each event and then multiply them together since the events are independent.

Event A: The coin lands on heads

A fair coin has two equally likely outcomes, heads or tails. Since we are interested in the probability of heads, there is only one favorable outcome out of two possible outcomes.

P(A) = 1/2

Event B: The die is 5 or greater

A fair six-sided die has six equally likely outcomes, numbers 1 through 6. Out of these six outcomes, there are two favorable outcomes (5 and 6) for Event B.

P(B) = 2/6 = 1/3

To find the probability of both events occurring (A and B), we multiply the individual probabilities:

P(A and B) = P(A) * P(B) = (1/2) * (1/3) = 1/6

Therefore, the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

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a certain species of deer Is to be introduced Into a forest Wildlife experts estimate The population will grow to P(t)= (988)3 1/2 where t where represents The number of years from the time of introduction.How long will it take for the population to reach 26676 deer according to this model?

Answers

Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential Function

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

x = number of years from time of introduction

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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Y=4x, y=x+7, y=-2x+4, y=3x-1 which doesn't belong?

Answers

Answer: y = 4x

Step-by-step explanation:

I would say y = 4x because all of these equations have a constant involved except for that.

what is the slope intercept form from the points (3,3) and (8,23)?​

Answers

Answer: m=4

Step-by-step explanation:

Y2-y1 over x2-x1 =

23-3

Over

8-3

The answer is 20/5 simplified is 4.

The slope is m=4

Slope is represented by the letter m.

7. Jeff and Stephen go to the mall. The two
boys buy a total of 15 T-shirts. Stephen gets
three less than twice as many T-shirts as Jeff.
a) Write an equation to represent the
information in the second sentence.
b) Write an equation to represent the
information in the third sentence.
c) Solve the linear system by substitution
to find the number of T-shirts each boy
bought.
d) If the T-shirts cost $8.99 each, how
much did each boy spend before taxes?

Answers

Answer:

Let j = number of shirts Jeff bought and s = the number of shirts Stephen bought.

a.) s + j = 15

b.) 2j - 3 = s

c.) Plug 2j -3 into the equation from question a.

2j -3 + j = 15

3j -3 = 15

3j = 18

j = 6

2j - 3 = s when j = 6

2(6) - 3 = s

s = 9

Jeff bought 6 shirts; Stephen bought 9 shirts.

d.) Jeff cost = 8.99(6) = $53.94

Stephen cost = 8.99(9) = $80.91

True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.

Answers

Answer:

True

Step-by-step explanation:

Definitely true.  If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle.  Otherwise it is not a right triangle.

If x=11, then 15x-4x=?

Answers

Answer:

121

Step-by-step explanation:

If x=11 then the equation is:

15(11)-4(11)

First, multiply:

15×11-4×11=164-44

Now, subtract:

164-44= 121

Hope this helps!! <3

Answer:

121

Step-by-step explanation:

15x-4x

15(11) - 4(11)

165 - 44

= 121

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Homework: Section 6.1 Homework Given that sin 50= 0.7660 tan 50 = 1.1918 cos 50 = 0.6428 cot 50=0.8391 csc 50 = 1.3054 sec 50 = 1.5557 find the six function values of 40. sin 40= 0.642 Below is an extract of information from the balance sheet of a commercial bank.ASSETS (Millions) LIABILITIES (Millions)Reserves 250 Deposits 1,750Loans 1,500The required reserve ratio is 20 percent.(a) How much is the bank required to hold as reserves? (5 Marks)(b) Calculate the banks excess reserves. (5 Marks)(c) By how much can the bank increase its loans? (5 Marks)(d) Suppose a depositor comes to the bank and withdraws Ksh. 100m in cash.i. Show the banks new balance sheet, assuming the bank obtains the cash by drawing down its reserves. (3 Marks)ii. Does the bank now hold excess reserves? (1 Mark)iii. Is the bank meeting the required reserve ratio? use the slicing method to find the volume of the solid whose base is the region inside the circle with radius 3 if the cross sections taken parallel to one of the diameters are equilateral triangles. Is this a quadrilateral, parallelogram, rectangle,rhombus,square or trapezoid Adamson will pay a dividend of $2.5 per share at the end of this year; the dividend will grow at a constant rate of 4.5%. Its common stock now sells for $30 per share. New stocks are expected to be sold to net $27.50 per share. Estimate Adamson's cost of retained earnings and its cost of new common stock. PLEASE HELP FIRST CORRECT WILL GET BRAINLIEST A resistor (R) and a capacitor (C) are connected in series to a battery of terminal voltage V0. Which of the following equations relating the current (I) in the circuit and the charge (Q) on the capacitor describes this circuit?A. V2012Q2CI2R=0B. V0+QCI2R=0C. V0QCIR=0D. V0CdQdtI2R=0E. 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If Peyton's beta is 0.51 and Manning's beta is 1.23, what is the beta of Coleton's overall portfolio? Keep 4 decimal places in intermediate steps and show 2 decimal places in your final answer. which, if any, of the following ceramic objects are best suited to being created using the slab method? let be the space spanned by the two functions and . find the matrix of the linear transformation from into itself with respect to the basis . All of the following statements are the part of Darwin's theory of natural selection exceptGenetic variation exists among individuals in a population.The size of most populations remains relatively constant, despite the fact that more offspring are produced than are needed to maintain it.Early settlers saved seed only from the most productive crop plants to plant the following year.Disease, competition, and other environmental forces tend to eliminate the individuals in a population that are less adapted to their environment.Individuals that are best adapted to their environment tend to pass on heritable advantageous characteristics to their offspring. Once the following equation is balanced with the smallest set of whole number coefficients, what is the sum of the coefficients? (Don't forget to include coefficients of one.)Cr+H2SO4Cr2(SO4)3+H2A. 11B. 4C. 13D. 15E. 9 Do you agree with this statement: "The intrinsic value for an European call option is always greater or equal to zero, so does the time value for an European call option"? Please explain While Mary Corens was a student at the University of Tennessee, she borrowed $12,000 in student loans at an annual interest rate of 7%. If Mary repays $1,500 per year, then how long (to the nearest year) will it take her to repay the loan? Do not round intermediate calculations. Round your answer to the nearest whole number.year(s) There are many different types of dolphins. Some are smaller than a child 1.(up, have, and) some are so big that people confuse them with whales. The most well-known 2.(type, noises, different) of dolphin is the common bottlenose dolphin. This friendly, grey sea creature is 3.(each, what, into) most people think of when they 4.(hear, wild, animals) the word dolphin. The reason dolphins are so amazing is because of their 5.(back, squeak, intelligence). Bottlenose dolphins are very smart compared 6.(hunt, to, many) other animals. They can learn and 7.(remember, groups, there) how to do difficult jobs. These dolphins have been trained to hunt for 8.(might, danger, often) underwater and even to help fishermen 9.(scare, will, catch) fish! Dolphins have even been known to help drowning people get back to 10.(near, good, safety). Bottlenose dolphins can make lots of 11.(them, different, with) noises. They can squeak, grunt, growl, and even whistle. Sometimes they make noise 12.(by, people, to) talk to other dolphins. Other times 13.(some, they, confuse) use noise to help them find 14.(all, you, their) way around under water. The dolphin makes a noise and then waits for 15.(around, an, fish) echo. Just by listening to the 16.(intelligence, echo, big), the dolphin can find food, recognize danger, or figure out what is ahead 17.(use, like, of) it. Bottlenose dolphins are social animals. 18.(More, Dolphins, They) live in groups called pods which 19.(recognize, under, can) have 15 or more dolphins. Dolphins work 20.(trained, together, sometimes) to hunt for food and protect each other from danger. Some pods of 21.(dolphins, some, ridges) have been spotted that have over 1000 22.(types, learn, dolphins) all living together. Dolphins eat fish, 23.(eels, jobs, make), and other sea creatures. The dolphins will work together to herd the fish 24.(into, noise, type) groups so they can easily be 25.(feel, reason, caught). Even though dolphins have ridges on 26.(called, their, most) mouth like teeth, they do not 27. (living, dolphin, chew) their food, instead they swallow it 28. (all, echo, mouth) up in one bite. For many 29.(people, one, the), the bottlenose dolphin is their favorite animal. Because they are intelligent and often 30.(instead, for, friendly), many people feel that dolphins are our good friends. However, dolphins are still 31.(wild, they, listening) animals and if you ever get 32.(times, help, near) one, do not do anything that 33.(might, amazing, friendly) scare it! What is the weighted-average cost of capital for the following firm that exists in a tax-free environment? Market Value of Debt = $40,000 Annual interest rate on Debt = 7% Number of Shares = 5,000 Share Price = $12.5 Beta = 1.2 Risk-free rate = 3% Market Risk Premium = 4%