Consider functions f and g

vvvv

Consider Functions F And Gvvvv

Answers

Answer 1

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day


Related Questions

Lara has been hired for a new sales position at a local store. The salaries of the seven people who have been working at the store for one year are listed in this table.

Which statistic(s) can Lara use to predict what her salary most likely will be after one year?

Answers

Answer:

The Median or The Mode

Step-by-step explanation:

I had the same question on a quiz and got it right

Consider the cone with slant height of 13 m and perpendicular height of 12 m: a) Find the length of the radius, r. b) Find the length of the diameter of the cone's base.

Answers

Answer:

Step-by-step explanation:

a tub shaped like a cylinder with a diameter of 18 inches, And a height of 20 inches Is filled to the top with water. Six spherical balls each with a diameter of 8 inches Are placed in the tub and they sink. some water overflows the tub, this amount equals a combined volume of the spheres. Find the exact and the approximate of water that remains in the tub.

Answers

The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.

What is the approximate amount of water that remains in the tub?

The first step is to determine the volume of the cylinder.

Volume of the tub = πr²h

Where:

r = radius = diameter / 2 = 18/2 = 9 inches h = height π = 3.14

3.14 x 9² x 20 = 5086.8 in³

The second step is to determine the volume of the 6 balls.

Volume of a sphere= 4/3πr³

r = diameter / 2 = 8/2 = 4 inches

6 x (3.14 x 4/3 x 4³) = 1607.68 in³

Volume that remains in the tub = 5086.8 in³  -  1607.68 in³ = 3479.12 in³

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if the diameter of a cone is 16cm and the height is 15cm what is the volume? I've tried the formula v=1/3*3.14*r^2*h but the answer wasn't on the choice pick even when I divided the diameter by 2 to get the radius which is 6. and I've tried leg^2 +leg^2=hypotenuse, but I probably did it wrong. If you find the answer could you show how you found it? I'll put u as the brainiest.

Answers

Answer:

V= volume of cone A=Ah A= πr2

A= area of base 3

H= height

V= (3.1416)(16)(15) 3.1416x16x15= 753.9

3

V= 753.9 753.9÷3= 251.3 cu. in

3

Volume of the cone is 251.3 cu. in

I hope this helps you. Good luck!

-1+4x^{3}-\frac{x^{5}}{5}+x^{2}-3x
−1+4x
3

5
x
5


+x
2
−3x

Answers

Answer:

here is the graph

Step-by-step explanation:

If cos is x=0.25, find sin x

A) sin x ≈ 0.97

B) sin x ≈ 0.75

C) sin x ≈ 0.0625

D) sin x ≈ 0.03

Answers

Answer:

In quadrant I, the answer is A. sin(x) ≈ 0.97

A student used the equation below to create a table.
y=-3x - 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
O (-11, -2)
O (-2,-11)
O (-2, 1)
O (1.-2)
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

second option -2, -11

Step-by-step explanation:

when you put -2 where x is then

y is -11

Before mr.wonsavage was a superhero in "wontropolis" he made wedding favors fof wedding receptions using peanuts and m&ms. pesnuts cost $3.50 per pound and m&ms cost $8 per pound. mr won wants to make 60 pounds of the peanut/m&ms mixture costings $6.00 per pound. how many pounds of peanuts and m&ms shoukd be mixed?

Answers

Answer:

10 pounds of copounds must be mixed

Step-by-step explanation:

Because if Mr wom wants 60 pounds if 1 cost &$6.00 he must take the prime number that can be multiplied by 6 to give us 60. The number is 10.

The length of a log of wood is 90 in. How many cuts do you need to make to obtain
the greatest number of pieces, where each piece will have a different length and the
length of each piece is a whole number, in inches?

Answers

The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

1 in, 2 in, 3 in, 4 in, and so on

The above shows the arithmetic sequence,

The sum of the n natural number is given by:

[tex]\rm S_n = \dfrac{n(n+1)}{2}[/tex]

[tex]\rm 90 = \dfrac{n(n+1)}{2}[/tex]

After solving, we will get a quadratic equation:

n² + n -180 = 0

After solving, we will get:

n = 12.92 and n = -13.92(term can not be negative)

n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

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The hypotenuse of a right triangle measures 18 cm and one of its legs measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

This sounds like a Pythagoras theorem question. So what I would do is 18^2 - 10^2= Ans

Then square root the answer

Answer: the answer is 15

3B What is the value of account after 10 years,
if interest is paid at 3.7%, if no other deposits
or withdrawals are made?
Initial deposit $6500, then compounded annually

Answers

Answer:

$9,347.62

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $6,500r = 3.7% = 0.037n = 1t = 10 years

Substituting the given values into the formula and solving for A:

[tex]\implies \sf A=6500\left(1+\frac{0.037}{1}\right)^{10 \times 1}[/tex]

[tex]\implies \sf A=6500\left(1.037\right)^{10}[/tex]

[tex]\implies \sf A=9347.617232[/tex]

Therefore, the value of account after 10 years is $9,347.62

Let's see

[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]

P=6500r=3.7%t=10years

So

A:-

[tex]\\ \rm\Rrightarrow 6500(1+0.037)^{10}[/tex]

[tex]\\ \rm\Rrightarrow 6500(1.037)^{10}[/tex]

[tex]\\ \rm\Rrightarrow \$ 9347.6[/tex]

if spur gear system has a driver gear with 100 teeth and rotates at a speed of 10 RPM and is meshed with a driven gear of 20 teeth, then the driven gear will rotate at a speed of:

A. 200 RPM
B. 100 RPM
C. 50 RPM
D. 20 RPM
E. none of the above​

Answers

100 teeth / 20 teeth = 5


5 x 10 rpm = 50 rpm


answer: 50 rpm

Sketch a graph of each of the four angles in the same coordinate plane. Label the ordered pairs that intersect the circle. The angles given are 30°, 150°, 210°, 330°

Answers

To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

What is a sketch?

In the mathematics, a sketch is known to be a given category  that tells what a thing is all about.

Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

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y X X
y = 85 when x = 17
Using the information above, write an equation for y in terms of x.
y=
?


Answers

Answer:

y= x5

Step-by-step explanation:

y = 5 times the number of x.

PLEASE HELP ASAP!! DUE IN 10 MINUTES!! I'LL MARk BRAINLIEST ADN HIGH POINTS!! PLEASE HELP!!

Answers

Answer:

*speedrunning intensifies*

A:

Min is 15

LQ is 23

Median is 36

UQ is 38

B:

IQR is 38 minus 23, or 15, I guess that the data is not very consistent and it is spread out?

C:

Min is calculated by looking at the end of the far left line

LQ is the far left of the box

Median is the line inside the box

UQ is the the far right of the box

IQR is UQ subtract LQ

I answered because I wanted you to get brainliest!

Jayne stacked 2 cubes on top of each other as shown. The edge length of the smaller cube is half the edge length of the cube below it. What is the surface area of the new figure?

Answers

Considering the surface area of a cube, and that the figure has two cubes, the total surface area is of 1470 m².

What is the surface area of a cube?

The surface area of a cube of edge length a is given by:

S(a) = 6a².

In this problem, we have two cubes, one with a = 14 m and the other with a = 7 m. Hence, the total surface area, in m², is given by:

S(a) = 6 x 14² + 6 x 7² = 1470.

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2x^2-8x factor
the folowing polynomials

Answers

2(x-4)x is your answer

The following histogram represents the heights of the students in Ari's classroom. Identify at least three things that you
can infer from the histogram about the distribution's center, spread, and overall shape.

Answers

Answer:

We can identify that the histogram is skewed to the left (more on the left) the center would be 3 and the spread is saying more students are between 58-59 and 60-61 inches were as there is only 3 for the rest

Step-by-step explanation:

I hope this helps I have the same question and this is what I wrote for my answer

In a class of 30 students, 18 have a cat and 17 have a dog. There are 7 students who
have a cat and a dog. What is the probability thatla student chosen randomly from the
class has a cat and a dog?

Answers

The probability of having cats and dogs is 7/30.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Definitions of Probability Theory Terms

The probability terminology listed below aid in a better comprehension of probability concepts.

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.

Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.

Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so. For instance, if we roll two dice and receive the total of the two numbers as 4, the possible/favorable possibilities are (1,3), (2,2), and (3,1).

Trial: To conduct a trial is to conduct a random experiment.

Given:

total students = 30

students have cat = 17

student have dog = 17

students have both =7

So, the probability of having cats and dogs

=7/30

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Do a web search to find the sunrise and sunset times for the last year in Osnabrück.

Starting with January 1, calculate the number of daylight hours every 30 days. (You should have 13 items of data.) Convert the time from hours and minutes to the nearest tenth of an hour. For example, if the sunrise time is 0708, write the decimal 7.1, by dividing 8 by 60.
Graph this set of data on graph paper. The horizontal axis will represent the day of the year, and the vertical axis will represent the number of daylight hours. Be sure to title your graph and label the axis.
Draw a regression curve, a curve that best represents your set of data. (This is similar to drawing a line of best fit.)
Answer the following questions about your graph in the box below. Number the responses of your answers as you enter them.
Turn in your set of data and graph to your teacher.

Answer the following questions in the essay box below:

Locate the lowest and highest points on your graph. What is the amplitude?
There are 365 days in a year. Explain this value's relationship to the graph.
What is the vertical shift of the graph?
What is the phase shift of the graph?
Write a sinusoidal function that models the number of daylight hours for the year in this city.
Using your equation, estimate the number of daylight hours in this city on the 220th day of the year. Based on your graph, does this answer seem reasonable? Explain any discrepancy that might occur between the two values.

Answers

Answer:

Step-by-step explanation:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

answer question in pic, thanks!!

Answers

Answer:

6.42 %

Step-by-step explanation:

3412.23 = 2500(1+i)^5

i = 6.42%

Use the diagram to determine which of the statements must be true.
No lines are parallel.
c∥d
a∥b
c∥e
a∥c
d∥e
a∥e
b∥d

Answers

Answer:

d∥e

Step-by-step explanation:

The figure shows that line e is perpendicular to line b, and line d is perpendicular to line b.

Theorem: If two lines are perpendicular to the same line, then the lines are parallel.

Since lines d and e are perpendicular to the same line, b, then lines d and e are parallel.

Answer: d∥e

Question Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs

Answers

The least amount that Bill must pay to buy the tiles he needs is $292.50

What is the least amount?

The total cost of buying the tiles individually is : cost per tile x total tiles needed

$0.40 x 864 = $345.60

The total cost of buying the tiles in a box of 100 is : $32.50 x 9 = $292.50

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A basketball team made $3,094 selling team hats. Each hat sold for $34. How many hats did the team sell?

Answers

Answer:

The team sold 91 hats.

Step-by-step explanation:

$3,094 ÷ %34 = 91

Answer: 91 hats
Why?
3,094 divided by 34.

15. If m arc BY = 40 degrees, what is m angle YAC? the figure is not drawn to scale.

Answers

Using the tangent theorem and the inscribed angle theorem, the measure of angle YAC in the figure is: 70°.

What is the Tangent Theorem?

The angle formed at the point of tangency of the radius and the tangent equals 90 degrees based on the tangent theorem.

What is the Inscribed Angle Theorem?

According to the inscribed angle theorem, an inscribed angle equals the measure of the arc intercepted.

m∠BAY = 1/2(40) [inscribed angle theorem]

m∠BAY = 20°

m∠BAC = 90° [tangent theorem]

m∠YAC = 90 - 20

m∠YAC = 70°

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This graph represents gasoline price trends in New Mexico.

First, the price of gasoline in New Mexico _______ (increases quickly, increases slowly, decreases slowly, decreases quickly) , and then it _____ (increases quickly, increases slowly, decreases slowly, decreases quickly)

Answers

Answer:

Increases slowly, increases quickly

Step-by-step explanation:

The first part of the graph is a slope that's not very steep, but in a positive direction. That means it's increasing slowly. The second segment has a much steeper slope, and it's going upwards, meaning it is increasing quickly.

I hope this helped!

At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost? Show your work.

Answers

Answer:

  $18.99

Step-by-step explanation:

The total cost is the base cost plus that of the added toppings.

  total cost = base cost + (number of toppings) × (topping cost)

  total cost = $13.99 + 4 × $1.25 = $18.99

Their pizza costs $18.99.

The area of a circle is 36 square feet. What is the diameter?

Answers

Answer:

The diameter is 6.76

Please read the exaplanation... it always helps!

Step-by-step explanation:

Area of circle = r^2 pi

if the area is 36 then...

36 = r^2 pi           to solve for r divide both sides by pi

36/pi = r^2

11.45 = r^2             take the square root of both sides

√11.45 = r                 RADIUS = 3.38

then multiply by two since the diameter is 2 (radius) and you get...

diameter = 6.76

i hope this helpssssss!!!!!!!

Answer:

[tex]area = \pi {r}^{2} [/tex]

[tex]36 = 3.14 \times {r}^{2} [/tex]

[tex] \frac{36}{3.14} = {r}^{2} [/tex]

[tex] {r}^{2} = 11.46[/tex]

[tex]r = \sqrt{11.46} [/tex]

[tex]r = 3.39[/tex]

[tex]diameter = 2 \times radius[/tex]

[tex]diameter = 3.39 \times 2[/tex]

[tex] = 6.78[/tex]

c) If you are given a circle with center C, how do you locate the vertices of a square inscribed in circle C?

Answers

Answer: The square is inscribed in a circle that means the square is drawn inside a circle such that it's vertices lie on the circle.

You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square i.e. Diagonal of the square is equal to diameter of the circle.

We could also see the image of such figure.

A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Explain.

Answers

Answer is 24 cu in.
A cone is 1/3 the volume of a cylinder
1/3 x 72 = 24
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