Heeeelllpppssss pleeaassee.....…………

Heeeelllpppssss Pleeaassee.....

Answers

Answer 1

Answer:

x= -8     x=2

Step-by-step explanation:

x^2 +6x - 6 = 10

Subtract 10 from each side

x^2 +6x -16 =0

Factor  what 2 numbers multiply to -16 and add to 6

8*-2 = -16

8-2 = 6

(x+8) (x-2) =0

Using the zero product property

x+8 =0    x-2 =0

x= -8     x=2


Related Questions

explain the difference between an indefinite integral and a definite integral.

Answers

Answer:

A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).

Step-by-step explanation:

What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? What are the dimensions of this rectangular prism?

Answers

Answer: 64=s3

Step-by-step explanation: V=s3

64=s3

find the cubic root of each side

3√ 64=s4=s

so the side of the cube is 4 cu in.

The surface area of a cube is

SA=nA

where SA

is surface area, n

is the number of faces, and A

is the area of one face.

Te area of one face (A) is s2 so

Using the following data, what is the Interquartile Range? $20, $50, $70, $80, $30, $60, $20, $70, $70, $90

Answers

Answer:

$60

Step-by-step explanation:

sorry if I'm wrong ^-^

Answer:

its 46

Step-by-step explanation:

(5 - i)(5 + I)=

Answer choices:
26
25i
24

Answers

Answer:

26

Step-by-step explanation:

We can use difference of squares:

(5 - i)(5 +  i) = 5^2 - i^2

i^2 = -1, so we have 25 - (-1) = 25 + 1 = 26

Answer:

26

Step-by-step explanation:

−4x−6=−5y+2 Write a formula for g(x) in terms of x

Answers

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

need help ASAP, find the vertices of:

(x-2)^2/16-(y-1)^2/4=1

show work pls!!

Answers

Answer:

Step-by-step explanation:

(x - 2)²/16 - (y - 1)²/4 = 1

(x - 2)² - 4(y - 1)² = 16

x² + 4 - 4x - 4(y² + 1 - 2y) = 16

x² + 4 - 4x - 4y² - 4 + 8y = 16

x² - 4x + 8y - 4y² = 16

x² - 4x = 16  ,  -4y² + 8y = 16

x(x - 4) = 16  ,  4y(-y + 2) = 16

x = 16, x = 20,  y = 4, y = -14

A cylindrical water tank has a radius of 14.5 feet and a height of 7.5 feet. Which value is the best estimate of the volume of the water tank? Round your answer to the nearest tenth of a foot.

A cylindrical water tank has a radius of 14.5 feet and a height of 7.5 feet. Which value is the best

Answers

Answer:

C= 2π14.5

C= 91.1061869

91.1061869 X 7.5 = 683.296402

A of a circle = πr squared

as the are two circles to a cylinder 2πr squared

2 X π X 14.5 = 1321.03971

add together

1321.03971 + 683.296402 = 2004.33611 ft squared

The probability of obtaining a head when a certain coin is flipped is about 0.65 Whi ch of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times? A. 0.14 B. 0.37 0.39 0.60 0.65

Answers

Answer:

B. 0.37

Step-by-step explanation:

(VOID)

Perform the operation.
(−3x^2+9x−9)+(−9x^2+9x+3)
I will give brainleist

Answers

Answer:

nose a qué se refiere con eso

i need the answers plzz

i need the answers plzz

Answers

Answer:

I dont know but when u got the answer tell me

Answer:

20 small cups and 10 large cups

Step-by-step explanation:

It's just a case of trial and error for me, 40 small cups is 320, which doesnt work. 30 and 15? 30*8=240 15*16=240 nop. 20 and 10? 20*8=160 10*16=160 160+160=320 yup! So 20 small cups and 10 large cups

express in two line copy(-2)×(+3)
(with photo)​

Answers

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Factor. Step by step.

Factor. Step by step.

Answers

Answer:

(3x-2)^2

Step-by-step explanation:

3^2x^2-2*3x*2+3^2

(3x)^2 -2*3x*2+2^2

And youll get (3x-2)^2

2. for each of the following variables, tell me level of measurement and what statistic you would use to quantify central tendency and variability. a. body weight in pounds b. number of cigarettes smoked in a day c. ethnicity d. birth order (i.e., first born, second born, etc.)

Answers

In the following question, among the conditions given, the option- a,b and c stand the same ie- The level of measurement is a ratio. The statistic used for the central tendency is the mean or median, whereas d. birth, "is ordinal."

1. Body weight in pounds: The level of measurement is a ratio. The statistic used for the central tendency is mean or median, while for variability, standard deviation or variance can be used.

2. Number of cigarettes smoked in a day: The level of measurement is a ratio. The statistic used for the central tendency is mean or median, while for variability, standard deviation or variance can be used.

3. Ethnicity: The level of measurement is nominal. The statistic used for the central tendency is the mode, while for variability, there is no appropriate statistic.

4. Birth order: The level of measurement is ordinal. The statistic used for the central tendency is median or mode, while for variability, range or interquartile range can be used.

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PLZZ SOMEONE DO THIS AND ILL LOVE U FOREVER, ILL GIVE BRAINLIEST

PLZZ SOMEONE DO THIS AND ILL LOVE U FOREVER, ILL GIVE BRAINLIEST

Answers

Answer:

The order of the clocks listed below

Step-by-step explanation:

1) 7:01

2) 12:12

3) 4:29

4) 1:11

5) 3:46

6) 6:33

7) 10:15

8) 6:59

9) 2:23

does anyone know the answer to this?​

does anyone know the answer to this?

Answers

Answer:

18 is the answer of your question

Answer:

Your answer is D, 18.

Step-by-step explanation:

EP is half of EC so all we would have to do is multiply EP by 2 (9*2)

The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8

Answers

Answer:

i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.

the answer is then "A"

Step-by-step explanation:

The triangle whose sides are √13, 6, and 7, is a right triangle.

What is the right triangle?

A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.

Pythagorean Theorem :

The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.

Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,

r² = p² + q².

How to solve this problem?

We just check which triangle's sides follow the above theorem.

Option A (Triangle with sides √13, 6, and 7 ):

13 + 36 = 49

i.e. (√13)² + 6² = 7²

This triangle's sides follow the Pythagorean Theorem.

So, the triangle with sides √13, 6, and 7 is a right triangle.

Option B (Triangle with sides 7, 8, and 13 ):

49 + 64 ≠ 169

i.e. 7² + 8² ≠ 13²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 7, 8, and 13 is not a right triangle.

Option C (Triangle with sides 10, 11, and 12 ):

100 + 121 ≠ 144

i.e. 10² + 11² ≠ 12²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 10, 11, and 12 is not a right triangle.

Option D (Triangle with sides √10, 9, and 8 ):

10 + 64 ≠ 81

i.e. (√10)² + 8² ≠ 9²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides √10, 9, and 8 is not a right triangle.

Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.

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which of the following statements is true? a.) to imply causation, the correlation must be -1. b.) a high correlation can indicate a relationship but cannot prove causation. c.) a high correlation indicates that explanatory variable is a direct cause of the response variable. d.) having a low correlation is sufficient enough to imply causation.

Answers

The statement that is true is:

b.) A high correlation can indicate a relationship but cannot prove causation.

Correlation measures the strength and direction of the relationship between two variables, but it does not necessarily imply causation. A high correlation means that there is a strong linear relationship between the two variables, but it does not indicate whether one variable causes the other. There can be other factors that influence the relationship. Therefore, it is important to use other methods, such as experiments or observational studies, to determine causation. Correlation is useful for identifying associations between variables, but it cannot be used as evidence of a causal relationship.

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HELP ASAP!!!

The line (y-1)=(2/3)(x+1) contains point (a,-3).

What is the value of a? Show
your work.

Answers

Answer:

-7

Step-by-step explanation:

The line (y-1)=(2/3)(x+1) contains point (a,-3)

=> (-3-1) = (⅔)(a+1)

-4 = (⅔)(a+1(

(a+1)= -4 ÷ ⅔

a + 1 = -4 × 3/2

a+ 1 = -6

a = -6-1

a = -7

The value of 'a' will be;

⇒ a = - 7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of line is,

⇒ (y - 1) = (2/3) (x + 1)

And, The point on the line = (a, - 3)

Now,

Since, The point on the line = (a, - 3)

Hence, It satisfy the equation of line.

Substitute x = a and y = - 3, we get;

⇒ (y - 1) = (2/3) (x + 1)

⇒ (- 3 - 1) = (2/3) (a + 1)

⇒ - 4 × 3 = 2a + 2

⇒ - 12 - 2 = 2a

⇒ 2a = - 14

⇒ a = - 7

Thus, The value of a = - 7

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction barts).
In the given diagram, ARST is a right triangle with MPL ST. Segment RT is divided into 5 equal parts.
R(4.3,7.4)
T(-8.5,-2.2)
M
S(4.3,-2.2)
The coordinates of point O are (
), and the coordinates of point M are (

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction

Answers

The coordinates of P are (-0.82, 3.56).

The coordinates of M are (-2.1, -2.2).

What is a midpoint of a line segment?

The midpoint of a line segment is written as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) are the coordinates of the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

R = (4.3, 7.4)

T= (-8.5, -2.2)

S = (4.3, -2.2)

Segment RT is divided into 5 equal parts.

So,

TP : PR = 3 : 2 = m : n

The coordinates of P.

T= (-8.5, -2.2) = (a, b)

R = (4.3, 7.4) = (c, d)

x = \(\frac{mc + na}{m + n}\)

x = \(\frac{3\times4.3 + 2\times-8.50}{5}\)

x = \(\frac{12.9 - 17}{5}\)

x = \(\frac{-4.1}{5}\)

x = -0.82

And,

y = \(\frac{md + nb}{m + n}\)

y = \(\frac{3\times7.4 + 2\times-2.2}{5}\)

y = \(\frac{22.2 - 4.4}{5}\)

y = 3.56

The coordinates of P are (-0.82, 3.56).

Now,

T= (-8.5, -2.2)

S = (4.3, -2.2)

M is the midpoint of TS.

So,

M = (x, y)

x = \(\frac{(4.3 - 8.5)}{2}\) = \(\frac{x-4.2}{2}\) = -2.1

y = \(\frac{-2.2 - 2.2}{2}\) = \(\frac{-4.4}{2}\) = -2.2

M = (x, y) = (-2.1, -2.2)

Thus,

The coordinates of P = (-0.82, 3.56).

The coordinates of M = (-2.1, -2.2).

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Answer:

The answer is (-3.38,1.64),(-0.82,-2.2)

Step-by-step explanation:

I just got it right on the test

On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?

Answers

Answer:

Number of children = 386

Number of adults = 287

Step-by-step explanation:

Let

x = number of children

y = number of adults

x + y = 673 (1)

1.75x + 2y = 1249.50 (2)

From (1)

x = 673 - y

Substitute x = 673 - y into (2)

1.75x + 2y = 1249.50

1.75(673 - y) + 2y = 1249.50

1177.75 - 1.75y + 2y = 1249.50

- 1.75y + 2y = 1249.50 - 1177.75

0.25y = 71.75

y = 71.75/0.25

y = 287

Substitute y = 287 into (1)

x + y = 673

x + 287 = 673

x = 673 - 287

x = 386

Number of children = 386

Number of adults = 287

Which graph represents a function?

Which graph represents a function?

Answers

Answer:

D, the horizontal line is a function

Step-by-step explanation:

To pass the vertical line test, a vertical line cannot go through the function more than once

A is a vertical line so it will fail the vertical line test

B will fail the vertical line test at many points.  One example is at

x =0 where you can see it will intersect at two points

C will fail the vertical line test at many points.  One example is at

x =0 where you can see it will intersect at two points

D is a horizontal line.  This will pass the vertical line test

in one city, the probability that a person will pass his or her driving test on the first attempt is 0.69 . if 9 people are selected at random from among those taking their driving test for the first time,what is the probability that at most 7 are passing the test? round your answer to 3 decimal places.

Answers

The probability that at most 7 are passing the test is = 0.821

According to the question given,

The probability of passing the driving test on the first attempt is = 0.69

Persons selected at random = 9

To find - Probability at most 7 are passing.

As we can see that choices are given to the persons that either they will pass the driving test or they will fail the same so in order to solve this question we need to apply Binomial Distribution,

According to the binomial distribution, the probability of two outcomes.

P( X = x ) = \(C_{n,x}.p^{x}. ( 1-p)^{n-x}\)

\(C_{n} ,x\) = the number of different combinations of x objects from n elements.

p = probability of happening.

Probability of passing the driving test = 0.69

p = 0.69

People selected at random = 9

n = 9

The probability that at most 7 are passing the driving test,

P( X \(\leq\) 7 ) = P(X = 1) + P(X = 2) + P(X = 3) + P ( X = 4) + P(X= 5) + P(X = 6) + P(X = 7)

P(X = 1) = \(C_{9,1}.(0.69)^{1}. (31)^{8}\) = 0.00053

P(X = 2) = \(C_{9,2}.(0.69)^{2}. (31)^{7}\) = 0.00472

Using the same formula calculating the values of others,

P(X = 3) = 0.02449

P(X = 4) = 0.08177

P(X = 5) = 0.1820

P(X = 6) = 0.27006

P(X = 7) = 0.25761

P( X \(\leq\) 7 ) = 0.00053 + 0.00472 + 0.02449 + 0.08177 + 0.1820 + 0.27006 + 0.25761

P( X \(\leq\) 7 ) = 0.82118

P( X \(\leq\) 7 ) = 0.821

Therefore, the probability that at most 7 are passing the test is = 0.821

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If demand deposits are moved into money market deposits what
will happen to M1? What will happen to M2? (↑, ↓ or NC)?

Answers

If demand deposits are moved into money market deposits, M1: ↓ (Decrease), M2: NC (No Change)

When demand deposits are moved into money market deposits, the impact on the monetary aggregates M1 and M2 can be described as follows:

M1 (Money Supply Aggregate 1):

- ↓ (Decrease)

M2 (Money Supply Aggregate 2):

- NC (No Change)

Moving demand deposits into money market deposits results in a decrease in M1. This is because demand deposits are included in M1 as they are considered readily accessible for making transactions. However, money market deposits are not included in M1 as they typically have more restrictions on withdrawals and are less liquid.

On the other hand, the shift from demand deposits to money market deposits does not affect M2. M2 includes a broader range of financial assets, such as savings deposits, time deposits, and money market mutual funds. Money market deposits are already part of M2, so the overall composition of M2 remains unchanged.

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ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 10 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Given f(x)=6(1−x), what is the value of f(8)?
f(8)=

Answers

Answer:

\(f(8) = - 42\)

Step-by-step explanation:

Hi there!

You have to substitute x = 8 into:

\(f(x) = 6(1 - x)\)

It then becomes:

\(f(8) = 6(1 - 8)\)

Calculate the above

\(f(8) = - 42\)

I hope this helps

What values of x satisfy this inequality? 7 − 2x ≤ 0

Answers

∈Answer:

x ≥ 7/2

Step-by-step explanation:

-2x + 7 ≤ 0

(-2x + 7) + (-7) ≤ -7

-2x + 7 - 7 ≤ -7

-2x ≤ -7

2x/2 ≥ 7/2

x ≥ 7/2

x ∈ [7/2,∞)

is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? assume the population is normally distributed. select the [p-value, decision to reject (rh0) or failure to reject (frh0)].

Answers

Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.

To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.

The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.

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The slope of the line passing through the points (7, 5) and (21, 15) is
.

Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point
(21, 5)
.

Answers

Step-by-step explanation:

a) The slope formula is given by

m = (y2 - y1)/(x2 - x1)

Let P1(7, 5) and P2(21, 15)

m = (15 - 5)/(21 -7)

= 10/14

= 5/7

b) Let's see if the slope is only a third of the one found in part (a) or m = 5/21. Let P1(0, 0) and P2(21, 5).

m = (5 -0)/(21 - 0)

= 5/21

Indeed, the slope is only a third of part (a), as we predicted.

Answer:

the answers are 7/5 and (21,5)

Step-by-step explanation:

sorry this is late by 2 months

Find the value of x in
2(x+1)=10​

Answers

Answer:

4

Step-by-step explanation:

2(x+1)=10

2x + 2 = 10

2x =10-2

x= 8÷2

x= 4

Remember that

change of side = change of sign!!!

how to solve inequalities with fractions and variables in denominator

Answers

To solve inequalities with fractions and variables in the denominator, multiply both sides of the inequality by the least common multiple (LCM) of the denominators and solve the resulting equation.

To solve inequalities with fractions and variables in the denominator, follow these steps:

1. Clear the denominator: Multiply both sides of the inequality by the least common multiple (LCM) of the denominators to eliminate the fractions. This step helps in simplifying the inequality.

2. Simplify and combine terms: Distribute and simplify any terms resulting from multiplying through by the LCM. Combine like terms if necessary.

3. Solve as a regular inequality: Treat the resulting inequality as a regular inequality without fractions. Use algebraic techniques to isolate the variable on one side of the inequality sign.

4. Determine the direction of the inequality: Determine the direction of the inequality by considering the signs of any coefficients or variables in the simplified inequality. If the coefficient of the variable is positive, the direction of the inequality remains the same. If the coefficient is negative, the direction of the inequality is reversed.

5. Express the solution: Write the solution as an inequality or as an interval, depending on the context of the problem.

It's important to note that when multiplying both sides of an inequality by a negative number, the direction of the inequality needs to be reversed.

Example: Solve the inequality (3/x) - (2/5) ≥ 1

1. Clear the denominator: Multiply both sides by 5x, which is the LCM of the denominators:

5x * [(3/x) - (2/5)] ≥ 5x * 1

Simplifying, we get:

15 - (2x) ≥ 5x

2. Simplify and combine terms:

15 - 2x ≥ 5x

3. Solve as a regular inequality:

Add 2x to both sides to isolate the variable:

15 ≥ 7x

4. Determine the direction of the inequality:

Since the coefficient of x is positive (7), the direction remains the same.

5. Express the solution:

Divide both sides by 7 to solve for x:

15/7 ≥ x

The solution is x ≤ 15/7.

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Last weekend the Lead-X Basketball team ordered fourteen spicy chicken sandwiches
and six chicken bites for fifty-five dollars and ninety cents. This weekend, the team
ordered seven spicy chicken sandwiches and five chicken bites for thirty-three dollars
and nineteen cents.

Answers

To solve this problem, we can use a system of equations. Let x be the cost of a spicy chicken sandwich and y be the cost of a chicken bite.

From the first order:

14x + 6y = 55.90

From the second order:

7x + 5y = 33.19

We can use elimination method to solve for one of the variables. Multiplying the second equation by 2:

14x + 10y = 66.38
14x + 6y = 55.90

Subtracting the second equation from the first:

4y = 10.48

y = 2.62

Now we can substitute y = 2.62 into either equation to find x:

14x + 6(2.62) = 55.90

14x + 15.72 = 55.90

14x = 40.18

x = 2.87

Therefore, a spicy chicken sandwich costs $2.87 and a chicken bite costs $2.62.
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How many of each coin or bill does she receive? Select the correct answer. What is the purpose of transitional words or phrases in an essay? A. to show the difference between two sentences or ideas B. to highlight the point being discussed in a text C. to explain the topic or thesis statement D. to link ideas across sentences and paragraphs Reset Next at least three independent, intensive properties are needed to completely specify the state of a simple compressible system. True or false? Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.59,100 kilograms59.1 centigrams 591,000 centigrams5.91 kilograms PLSSSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSPANISH 1A: Unit 6 Writing Assignment 4Using what you have learned this unit about conjugating verbs, write a complete sentence for each verb below using the subjects and verbs provided. Remember, you will need to change the verb to match the subject. Then finish off the SIMPLE sentence with words from your vocabulary list in Units 1-6 and translate the sentences into English.Ejemplos: Yo / Estudiar Yo estudio espaol a las tres. = I study Spanish at three oclock. Mara / Bailar Mara baila con Jorge en el club. = Mara dances with Jorge in the club.1. Yo / Comprar2. T / Escuchar3. Pap / Trabajar4. Nosotros / Aprender5. Los amigos / Vivir6. Ella / Comer7. Nosotros / Escribir8. Migul y Beatriz / Hablar9. Yo / Viajar10. T / Beber Jacinta is conducting research examining how using a cell phone affects driving ability. She predicts that using a cell phone with a hands-free device will cause less distraction than using a cell phone while holding it. Jacinta's prediction about the outcome of her research is an example of a(n) ________ if you know the answers pls put this 12345 Alice and Kevin are walking the track. Alice completes a lap in 3 minutes; Kevin completes a lap in 5 minutes. How much time will pass until they meet at the starting line?A.3 minutesB.5 minutesC.15 minutesD.30 minutes Applying an AC voltage v = V2 cos(t) (where V and are constants) to the two ends of the circuit AB connected in series, which includes a variable inductor with self-inductance L, a resistor with resistance R, and a capacitor with capacitance C. Let v and V be the instantaneous voltage and the effective voltage across L, respectively. When L = L, V = V, and v leads v by an angle . When L = L, V = V, and v leads v by an angle . When L = L, V is maximum and equal to V, and v leads v by an angle . If V = V = b and sin + sin = b/V, then what is sin? If the Fed increases the quantity of money, _____ economists believe that the _____.A: monetarist; aggregate demand curve shifts rightwardB: monetarist; cyclical deficit increasesC: Keynesian; structural deficit increasesD: Keynesian; aggregate supply curve shifts rightward Luthor Corp. is expected to generate a free cash flow (FCF) of $8,485.00 million this year (FCF = $8,485.00 million), and the FCF is expected to grow at a rate of 22.60% over the following two years (FCF and FCF). After the third year, however, the FCF is expected to grow at a constant rate of 3.18% per year, which will last forever (FCF). Assume the firm has no nonoperating assets. If Luthor Corp.s weighted average cost of capital (WACC) is 9.54%, what is the current total firm value of Luthor Corp.? (Note: Round all intermediate calculations to two decimal places.)a) $220,243.46 millionb)$183,536.22 millionc)$233,023.81 milliond)$26,118.78 million Complete the sentences with the present simple form of the verbs in brackets.Use contractions where possible. Valor (0,25 c/u)1) My sister thinks she's________(intelligent) than me, but I don't agree!2) Avatar is probably_________(bad) film I've seen!3) What is________(wet) month of the year in England?4)Do you think the Harry Potter films are_________(good) than the books?5)Who is__________(powerful) person in your country?Parte B. Elige la respuesta correcta. Valor (0,25 c/u)1 of 10My mother is ____ than my father.oldolderthe oldestthe old2 of 10What is ____ movie you have ever seen?funnyfunnierthe funniestthe funny3 of 10That movie was bad, but it wasn't ____ I have ever seen.baddestworsestworsethe worst4 of 10Rachel's hair is not as ____ as Sarah's.longlongerthe longestmore long5 of 10Yesterday's exam was ____ than the one last month.difficultdifficulterthe difficultestmore difficult6 of 10Peter is as ____ as Alex.fastfasterthe fastestthe faster7 of 10I think Mary is ____ woman I have ever seen.beautifulthe most beautifulthe beautifulestthe beautifuler8 of 10Her room is only a little bit ____ than mine.biggerthe biggerbighe biggest9 of 10He is ____ when he is playing football.the happierhappiestthe happyhappyest10 of 10Michael's house is ____ from the train than Betty's.farthe furthestthe fartherfurtherParte C. Escribe las palabras en el orden correcto. Valor (0,25 c/u)Samplethan / father / is / mother / is / my / younger / myMy mother is younger than my father.orMy father is younger than my mother.1 of 5cheapest / store / table / is / the / in / this / the2 of 5as / cookies / good / mine / as / are / Sue's / not3 of 5football / more / than / basketball / is / popular4 of 5more / is / dress / a lot / this / than / black / expensive / the / dress5 of 5sister / faster / Sue / than / her / speaksParte D. Read the article about "Do emoijs and GIFs restrict our language andcommunication? And then do the following activities.1. Translate it into Spanish. Valor (4 puntos)2. Is using emojis and GIFs a good thing for communication? Tell me about it! Valor (1punto). Does this image represent a function? cmo se calcula las medidas de un rectngulo solo sabiendo cunto mide el area