Let f(x) = x ^ 3 - x ^ 2 - 5x - 3 and g(x) = x + 3 3. Find (f/g)(x) . a .) x ^ 2 - 4x + 7R - 24
b .) x ^ 2 - 4x + 7
C.) x ^ 2 - 4x - 7R - 24
d.) x ^ 2 - 4x + 7x

Answers

Answer 1

Answer:

[tex](\frac{f}{g})(x) = \frac{\left(x+1\right)^2\left(x-3\right)}{x + 3}[/tex]

Step-by-step explanation:

The question is not properly formatted.

Given

[tex]f(x) = x^3 - x^2 - 5x - 3[/tex]

[tex]g(x) =x + 3[/tex]

Required

[tex](\frac{f}{g})(x)[/tex]

This is calculated as:

[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]

So, we have:

[tex](\frac{f}{g})(x) = \frac{x^3 - x^2 - 5x - 3}{x + 3}[/tex]

Factorize the numerator: using a calculator

[tex](\frac{f}{g})(x) = \frac{\left(x+1\right)^2\left(x-3\right)}{x + 3}[/tex]


Related Questions

Sam made 16 goals in 12 games. How many goals should she make in 36 games?​

Answers

Answer:

42 goals

Step-by-step explanation:

sasha needs 3/4 cup of flour to make a batch of muffins and 1 2/3 cups of flour to make loaf of bread. How many cups of flour does sasha need to make both a batch of muffins and a loaf of bread

Answers

Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.

How is the number or quantity determined?

We can use the addition operation to determine the quantity of flour that Sasha needs.

We add the cups of flour needed for both items to determine the total quantity.

The quantity of flour for making a batch of muffins = 3/4 cups

The quantity of flour for making a loaf of bread = 1²/₃ cups

The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)

(³/₄ + 1²/₃)

= ³/₄ + ⁵/₃

= (9 + 20)/12

= 29/12

= 2⁵/₁₂

Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.

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Find the limits given based on the graph.​

Answers

Limits of the functions shown in the graph are limx +f(x) = 0 and limx -f(x) = 0. The link between a group of inputs, each of which has a related output, is known as a function.

what are functions ?

The study of mathematics covers a variety of topics, including numbers, formulas and related structures, forms and the environments in which they exist, quantities and their variations, and the environments in which they exist.  An easy way to think of a function is as a relationship between inputs and outputs, where each input leads to a single, distinct result. Each function has a respective domain and a codomain, or scope. Functions are typically represented by the letter f. (x). input is x. The accessible functionalities fall into four categories. based on the following elements: on functions, one-to-one functions, many-to-one functions, and within functions.

given

We first take into account how f(x) behaves as x increases unboundedly for the function in the graph below. As x can always increase because the function has no limit, it can never be zero. However, the function's behavior when x rises.

Similar to how x decreases without bound or how we move leftward on the graph, f(x) also seems to be approaching zero.

So in this case we can write:

limx → +∞f(x) = 0

limx → - ∞f(x) = 0

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what is an irrational number between 4 and 5 is it √12 or √20 or √34 or √80?

Answers

Answer:

[tex]\sqrt{20}[/tex]

Step-by-step explanation:

the answer would be between [tex]\sqrt{16}[/tex], which is 4, and [tex]\sqrt{25}[/tex], which is 5.

4.47 i.e., [tex]\sqrt{20}[/tex] is the irrational number between 4 & 5.

What is irrational number?

Irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of [tex]\sqrt{2}[/tex].

Given irrational numbers

[tex]\sqrt{12} = 3.46[/tex]

[tex]\sqrt{20} =4.47[/tex]

[tex]\sqrt{34}=5.83[/tex]

[tex]\sqrt{80} =8.94[/tex]

Therefore, 4.47 i.e., [tex]\sqrt{20}[/tex] is between 4 & 5.

Hence, correct option is B.

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(20 points)which of these equations doesn’t fit with each other with what we’ve been learning about perpendicular lines explain why for full credit, equations in photo

Answers

Answer:

  Line D

Step-by-step explanation:

You want to know which line is not parallel or perpendicular to the other given lines:

 A: 2y -x = 2

  B: 4y = -8x -4

  C: y = -2x +4

  D: 5y = 10x +15

Standard form

We can write each of these equations in standard form to make it easier to compare them. That form is ...

  ax +by = c

where a > 0 and a, b, c are mutually prime.

The equations are ...

  A: x -2y = -2

  B: 2x +y = -1

  C: 2x +y = 4

  D: 2x -y = -3

Parallel lines

Equations with the same coefficients of x and y will be parallel:

  2x +y = -1  and  2x +y = 4 . . . . lines B and C

Perpendicular lines

Equations with coefficients that have been swapped, with one negated, will be perpendicular:

  x -2y = -2  and  2x +y = -1 . . . . lines A and B

Line A is perpendicular to parallel lines B and C, so line D is the odd one out.

  Line D doesn't fit.

PLEASE HELP ME EASYYYYYY MATH QUESTION BRAINLIEST

what percent is equivalent to the fraction 8/100? Enter your answer in the box. __ %

Answers

Answer:

8% is equivalent to the fraction 8/100

Step-by-step explanation:

3/4 of the children in a school have blue eyes the rest have brown eyes. if 84 children have blue eyes how many have brown eyes?

Answers

Answer:

Let the total number of people in the group=x

So total number of men =3x/8

Hence total number of women=5x/8

No. of men having brown eyes=2/3*3x/8=x/4

Total no. of people having brown eyes=3x/4

No.of women having brown eyes

=3x/4 -x/4=2x/4=x/2

No. of women who don't have brown eyes= 5x/8-x/2 = x/8

So the fraction is x/8x= 1/8

Step-by-step explanation:

Answer: 28 children

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare the numbers, and you can compare them using division.

First, we would need to figure out the total number of students. To do this, we can divide 84 by 3, then add that to the total.

84 ÷ 3 = 28

28 + 84 = 112

This means that there are 112 students in the classroom.

If 3/4 of the children in the school have blue eyes, we know that 1/4 of the children will have brown eyes. We can convert 1/4 into a decimal, or into a percentage, to get the number of children with brown eyes.

1/4 = 0.25 = 25%

To figure out how much 25% of 112 is, we can simply multiply 112 by 0.25.

112 × 0.25 = 28

So, this means that there are 28 children with blue eyes in the school.

1.171875 as a fraction

Answers

false

it is a decimal not a fraction

Answer: 75/54

Explanation:

1. Write 1.171875 as a fraction by writing it like 1171875/1000000. There are 6 zeros because the decimal point needs to be shifted 6 places to right in order for it to be a whole number.

2. Simplify it by dividing the numerator and denominator by 15625, the greatest common factor. 75/64.

Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D

Answers

The correct option regarding which of the sentences represents a trigonometric identity is given as follows:

b. None of the equations are identities.

What is a trigonometric identity?

A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]

The first relation is given as follows:

[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]

The tangent and secant equations are given as follows:

tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).

Hence:

4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)

4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)

4cos(x)tan(x)sec(x) = 4tan(x).

Meaning that the first statement is not an identity.

The second relation is given as follows:

[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

With a single denominator, we have that:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

The secant identity is given as follows:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

Hence:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]

Is also a false statement, hence neither is an identity and option B is correct.

Missing Information

The statements are given by the image presented at the end of the answer.

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PLEASE HELP THIS IS DUE IN 15 MINS !!!!!
(I GIVE BRAINLIEST)

Answers

Step-by-step explanation:

1100-825= Markup

Markup= 275

what is an expression for "m decreased by 2."

Answers

Answer:

M - 2

Step-by-step explanation:

Decreased is a math term indicating that we’re deal with subtraction

Answer:

M-2

Step-by-step explanation:

The m should be a variable.

Variable is a symbol like x or y that is used in mathematical or logical expressions to represent a variable quantity.

Decreased is subtract should have a minus sign.

Decreased is to reduced made less in size or amount or degree.

Decreased: ⇒ - (minus sign)

m-2, which is our answer.

Find the area.
A. 156 ft²
B. 126 ft²
C. 80 ft²
D. 39 ft²

Answers

Answer:

The answer is A

Step-by-step explanation:

12 x 5 = 60

16 x 6 = 96

60 + 96 =156 ft

Answer:

[tex]6 \times 5 + 6 \times 16 = 6 \times 21 = 126[/tex]

Use exponents to rewrite 27.

Answers

Answer:

[tex]3^{3}[/tex]

Step-by-step explanation:

The number 27 is written in the form of a base of 3 and the exponent of 3 is given as 3³.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

here, we have,

It is a method for dividing a polynomial into pieces that will be multiplied together.

At this moment, the polynomial's value will be zero.

Rewrite 27 as a base and exponent without using an exponent of 1.

The number 27 can be written as,

27 = 3 x 3 x 3

27 = 3³

Then the number 27 is written in the form of a base of 3 and the exponent of 3 is given as 3³.

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Need Help! (No links)

Answers

Answer:

Option C, 13.7 cm

Step-by-step explanation:

Cos(31°) = [tex]\frac{x}{15}[/tex]

=> Multiply 15 on both sides of "="

Cos(31°) * 15 = x

13.7 = x

Hope this helps!

12 people can fit in a room that is 9 feet by 4 feet. How many people will fit in a room that is 6 yards by 6 yards

Answers

Answer:

Number of people fit in 6 feet by 6 feet room = 12 people

Step-by-step explanation:

Given:

Number of people fit in 9 feet by 4 feet room = 12 people

Find;

Number of people fit in 6 feet by 6 feet room

Computation:

Surface area of 9 feet by 4 feet room = 9 x 4

Surface area of 9 feet by 4 feet room = 36 feet²

So,

Surface area of 6 feet by 6 feet room = 6 x 6

Surface area of 6 feet by 6 feet room = 36 feet²

Surface area of both rooms are equal. so number of people are also equal

Number of people fit in 6 feet by 6 feet room = 12 people

Please help me please I only have a couple hours left and this is taking soooo much time

Answers

Answer:

it would be the first answer

Step-by-step explanation:

you can draw the net of the shapes, and count each corner there

Part way through painting her room, Sam runs out of paint.
• She estimates that there are about 125 square feet left to paint.
• The purple paint that Sam is using is only available in 1-quart
cans. (Assume she must buy whole cans of paint.)
• Each can of paint covers 40 square feet.
How many cans of paint does Sam need to buy to finish painting her room?
Explain to Sam why she needs this many cans of paint.

Answers

Answer:

4

Step-by-step explanation:

You divide 125 by 40 and that will give you 3 1/8. In the question, it says to use whole numbers and you'd have to go up, giving you 4.

It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The together rate is the sum of the separate rates.

In this question:

Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.

Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.

Together rate:

1/x = 1/20 + 1/10

or, 1/x = 3/20

or, x = 20/3

or, x = 6.67

so, we get,

It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.

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complete question:

Sam and you are going to paint your room together.

Sam takes 10 minutes to paint 25 square feet.

It takes you 5 minutes to paint 25 square feet.

Sam says, "If we paint together, then it will take 15

minutes for us to cover 50 square feet."

Give an explanation to convince Sam that she is

incorrect

Why can’t a nose be 12 inches long Worksheet

Answers

Answer: because then it would be a foot

What is the greatest common factor of 3x

Answers

Answer:

It is not possible to find the greatest common factor of 3x.

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest number that divides into all of the numbers in the set.

In this case, you have provided a variable, 3x, and not a set of numbers. Therefore, it is not possible to find the greatest common factor of 3x.

If you have a set of numbers that you would like to find the greatest common factor of, please let me know and I will be happy to help.

rachel made 16 out of 20 free throw shots about how many out of next 30 free throw shots would u expect her to miss

Answers

about 6 free throw shots she would miss

Find the lateral area of the cylinder to the nearest tenth.
9 cm
19 cm
Not drawn to scale
Оа
2
1046.2 cm
Ob
2
664.4 cm
ос
2
537.2 cm
Od
2
1201.

Answers

Answer:

Lateral surface area is 847.8 centimeters^2

Step-by-step explanation:

The formula for determining the lateral surface area of a cylinder is expressed as

Lateral surface area = 2πrh

Where

r = radius of the cylinder

h = the height of the cylinder

From the information given,

r = 9 centimeters

h = 15 centimeters

π = 3.14

Lateral surface area = 2 × 3.14 × 9 × 15 = 847.8 centimeters^2

Please give me Brainliest and rate, like Thank you!

which is a equivalent expression to 3^3x3^3x3?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3^3\times3^3\times3}[/tex]

[tex]\mathsf{3^3 = 3 \times3\times3 = 9\times 3 = \bf 27}[/tex]

[tex]\mathsf{27\times27\times3 =\ ? }[/tex]

[tex]\mathsf{27\times27 = \bf 729}[/tex]

[tex]\mathsf{729\times 3}[/tex]

[tex]\mathsf{= \bf 2,187}[/tex]

[tex]\large\text{So you are looking for: \bf 2,187}[/tex]

[tex]\large\text{Option A.}[/tex]

[tex]\mathsf{3^6}[/tex]

[tex]\mathsf{= 3\times3\times3\times3\times 3\times3}[/tex]

[tex]\mathsf{3\times 3 = \bf 9}[/tex]

[tex]\mathsf{= 9\times 9\times 9}[/tex]

[tex]\mathsf{9\times9 = \bf 81}[/tex]

[tex]\mathsf{= 81\times9}[/tex]

[tex]\mathsf{= \bf 729}[/tex]

[tex]\large\text{So Option A is NOT equivalent because it is too small }[/tex]

[tex]\large\text{Option B.}[/tex]

[tex]\mathsf{3^7}[/tex]

[tex]\mathsf{= 3\times3\times3\times3\times3\times3 \times3}[/tex]

[tex]\mathsf{3\times 3 = \bf 9}[/tex]

[tex]\mathsf{= 9\times9\times9\times3}[/tex]

[tex]\mathsf{9\times9 = \bf 81}[/tex]

[tex]\mathsf{81\times9\times3}[/tex]

[tex]\mathsf{81\times 9 = \bf 729}[/tex]

[tex]\mathsf{729\times3}[/tex]

[tex]\mathsf{= \bf 2,187}[/tex]

[tex]\large\text{Option B. could possibly be your answer}[/tex]

[tex]\mathsf{3^9}[/tex]

[tex]\mathsf{= \bf 19,683}[/tex]

[tex]\large\text{Option C. Can’t be your answer because it’s too big!}[/tex]

[tex]\mathsf{3^{12}}[/tex]

[tex]\mathsf{= \bf 531,441}[/tex]

[tex]\large\text{Option D. cannot be your answer because it is way too big}\\\ \large\text{similar to your original answer (2,187)}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge Option B.}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: ur answer is B mark me brainliest

Step-by-step explanation:

Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.

negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714

Answers

Step-by-step explanation:

note that 7⁰ is always 1.

[tex] \frac{ {7}^{ - 10} }{ {7}^{4} } \\ \\ \frac{1}{ {7}^{14} } \\ \\ {7}^{ - 14} [/tex]

the answer is shown above

Answer:

Last option, [tex]\frac{1}{7^{14} }[/tex]

Step-by-step explanation:

[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex]=>[tex]\frac{7^{-10} }{7^{4+0}}[/tex]=>[tex]\frac{7^{-10} }{7^{4}}[/tex]=>[tex]7^{-10-4}[/tex]=>[tex]7^{-14}[/tex]=>[tex]\frac{1}{7^{14} }[/tex]

Reba is a hairdresser. Before her lunch break, she gave 3 haircuts and colored the hair of 3
clients in 330 minutes. After lunch, she gave 3 haircuts and colored the hair of 4 clients in
419 minutes. How long does it take for Reba to perform each type of service, assuming the
amount of time doesn't vary from client to client?

Answers

Answer:

To color the hair of one client takes 55 minutes

To give a client a haircut takes 72-55 which is 17

Step-by-step explanation:

i hope this helps ;)

6x-14<-14 or 3x+10>13

Answers

Answer:

solution set must contain all numbers less than zero or greater than one

graph H illustrates this solution

Step-by-step explanation:

6x - 14 < -14

6x < 0

x < 0

3x + 10 > 13

3x > 3

x > 1

What is the formula to find the perimeter of a pentagon


Answers

Answer:

For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.

Step-by-step explanation:

I hope I've helped :).

Answer:

perimeter = number of sides x the length of any side.

Step-by-step explanation:

brainliest pls

If 4, x, y, 108 are the consecutive terms of a G.P., find x and y.

Answers

Given:

4, x, y, 108 are the consecutive terms of a G.P.

To find:

The x and y.

Solution:

The nth term of a G.P. is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Let us consider 4, x, y, 108 are the first 4 terms of the G.P. Here 4 is the first term of the given G.P.

Suppose r  the common ratio, then 4th term of the given G.P. is:

[tex]a_4=4(r)^{4-1}[/tex]

[tex]a_4=4(r)^{3}[/tex]

The 4th term of the G.P. is 108.

[tex]4(r)^{3}=108[/tex]

[tex]r^{3}=\dfrac{108}{4}[/tex]

[tex]r^{3}=27[/tex]

[tex]r^{3}=3^3[/tex]

On comparing both sides, we get

[tex]r=3[/tex]

The common ratio is 3.

The second term of the given G.P. is:

[tex]x=4r[/tex]

[tex]x=4(3)[/tex]

[tex]x=12[/tex]

The third term of the given G.P. is:

[tex]y=xr[/tex]

[tex]y=12(3)[/tex]

[tex]y=36[/tex]

Therefore, the value x is 12 and the value of y is 36.

Mr Campbell has a jar on his desk that contains 1o0 marbles . At the end of class, each student draws a marble from the jar without looking, notes the color, and then puts it back in the jar. If a student draws the red marble , the student gets a pass on that day's homework. How can the students determine the probability of drawing the red marbles ?

Answers

Answer:

noseee  

Step-by-step explanation:

What is the answer to this question

Answers

Answer: A)

[tex]A) The ~ low ~ temperature ~ in ~Edmonton ~was\\\~greater ~than~the ~low ~temperature~ in~ fort~ Nelson[/tex]

༄✫༄✫༄✫༄✫༄✫༄

hope it helps...

have a great day!!!

Solve the following equation 3x - 2(x + 3) = 4x - 7

Answers

I don’t know man I’m sorry

Answer:

3x-2x-6=4x-7

x-6. =4x-7

3x=1

X=1/3

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In this problem, you will derive the efficiency of a CSMA/CD-like multiple access protocol. In this protocol, time is slotted and all adapters are synchronized to the slots. Unlike slotted ALOHA, however, the length of a slot (in seconds) is much less than a frame time (the time to transmit a frame). Let S be the length of a slot. Suppose all frames are of constant length L = kRS, where R is the transmission rate of the channel and k is a large integer. Suppose there are N nodes, each with an infinite number of frames to send. We also assume that dprop < s,="" so="" that="" all="" nodes="" can="" detect="" a="" collision="" before="" the="" end="" of="" a="" slot="" time.="" the="" protocol="" is="" as=""> If, for a given slot, no node has possession of the channel, all nodes contend for the channel; in particular, each node transmits in the slot with probability p. 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Show that this efficiency approaches 1 as the frame length becomes large What are the three outcomes of the zone of tolerance? An enzyme called tyroinae produced the dark compound in kin (melanin). Im albinim, thi enzyme doe not work or i not preent. Explain how each mutation could be reponible for Albinim whats 5x5? Maybe will mark brainiest Washington Irving is significant to American literature because A. He was the first best-selling American author in the United StatesB. He was the first best-selling American author internationallyC. He was one of the first writers to use American settings for storiesD. All of the choices are correct Nursing students are studying metabolic disorders of the skeletal system and correctly identify which factor to be the major cause of osteoporosis What is TRUE about cancer cells?a. The mutations in cancer cells are caused by environmental factors.b. They do not function appropriately in the tissue or organ they are a part of.c. They are just like normal cells except for the way they function.d. They form an encapsulated tumor that keeps them in one area of the body Which of the following statements is not correct? Multiple Choice An increase in a nation's labor supply will cause its potential output to increase. New technologies or new ways of producing output can cause a nation's production possibilities curve to shift outward. An increase in the quantity of a nation's resources will cause economic growth, but an increase in the quality of resources will not. Economic growth can be illustrated by an expansion of a nation's production possibilities curve. Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *Find the probability that a point chosen at random on the part of the number line shown will liebetween points B and C. For the initial 90 miles of a flight, the pilot heads 8 off course in order to avoid a storm. The pilot then changes direction to head toward the destination for the remainder of the flight, making a 157 angle to the first flight course. Determine the total distance of the flightA. 48.4 B. 135.9C. 138.4D. 228.4 The bookkeeper prepared a check for $58 but accidentally recorded it as $85. When preparing the bank reconciliation, this should be corrected by: Select one: A waiter in a restaurant has eight booths in his station. How many different arrangements are possible for the hostess to seat customers at the waiters booths if order is important? show me some nice or funny art