How can you quickly know that a function is a growth function?

How Can You Quickly Know That A Function Is A Growth Function?

Answers

Answer 1

Answer:

3rd choice:  when b>1

Step-by-step explanation:

For this function, a is the starting value (initial amount).  b is the decay or growth factor.  If b>1, then the function is a growth function.

FYI, if 0 < b < 1, then it is a decay function.


Related Questions

A researcher claims that the proportion of smokers in a certain city is less than 20%. To test this claim, a random sample of 700 people is taken in the city and 150 people indicate they are smokers.

The following is the setup for this hypothesis test:

H0:p=0.20
Ha:p<0.20
In this example, the p-value was determined to be 0.828.

Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)

Answers

Answer:

Based on the hypothesis test conducted with a significance level of 5%, we fail to reject the null hypothesis that the proportion of smokers in the city is 20%. This means that we do not have sufficient evidence to conclude that the proportion of smokers is less than 20%. The p-value of 0.828 suggests that there is a high probability that the observed proportion of smokers in the sample is due to chance and not a true difference in the proportion of smokers in the population. Therefore, we cannot conclude that the city has a lower proportion of smokers than 20%.

Final answer:

In this hypothesis test set up by the researcher, the p-value is 0.828, which is greater than the significance level (0.05). Therefore, we do not reject the null hypothesis, meaning there is not enough statistical evidence to validate the researcher's claim that the proportion of smokers is less than 20%

Explanation:

A hypothesis test in statistics uses test statistics based on sample data to accept or reject a null hypothesis. In this scenario, the null hypothesis (H0) states that the proportion of smokers (p) is 20%. The alternative hypothesis (Ha) claims that the proportion of smokers is less than 20%. The p-value is a measure of the probability that the observed data could occur under the null hypothesis. In our case, a p-value of 0.828 means that there is an 82.8% chance of observing the data if the true proportion of smokers is 20%, or higher.

Usually a threshold known as the significance level (in this case 5% or 0.05) is used to determine whether the null hypothesis should be rejected or not. If the p-value is less than or equal to the significance level, it suggests that the observed data is inconsistent with the null hypothesis, and the null is usually rejected. However, since our p-value is greater (0.828 > 0.05), we would not reject the null hypothesis, suggesting that there is not enough evidence to support the researcher's claim that the proportion of smokers is less than 20%.

Therefore, the conclusion is that the researcher's claim cannot be validated using the provided data.

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2010 2008
$971 $812
$977 $943
$900 $873
$1071 $1023
$501 $486


Average Weekly Earnings in Canada
Occupation
Forestry, logging and support
Manufacturing
Transportation and warehousing
Construction
Retail trade

1. Calculate the mean (average) weekly earnings of workers in the occupations
listed for 2010.

Answers

Answer:

Step-by-step explanation:

To calculate the mean (average) weekly earnings of workers in the occupations listed for 2010, we need to add up the earnings for each occupation and divide by the total number of occupations.

Forestry, logging and support: $971

Manufacturing: $977

Transportation and warehousing: $900

Construction: $1071

Retail trade: $501

Total earnings: $4,420

Total number of occupations: 5

Mean weekly earnings: $4,420 ÷ 5 = $884

Therefore, the mean (average) weekly earnings of workers in the occupations listed for 2010 is $884.

what is the area of a circle with the diameter of 22 in

Answers

Answer:380.1 square inches

Step-by-step explanation:Area of a circle in terms of diameter: Area = π· (d2) 2 = 3.14· (222) 2 = 3.14· (11) 2 = 380.1 square inches (*)

compute (x^2 + 3x - 10) / (x + 5)

Answers

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 3x - 10 }{x + 5} \\ = \frac{(x + 5)(x - 2)}{(x + 5)} \\ = (x - 2)[/tex]

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In a survey, 54.5% of respondents have portable earbuds and 30% of the respondents who have portable earbuds also have a smart speaker. What is the probability that a respondent has both portable earbuds and a smart speaker? If necessary, round to the nearest hundredth of a percent.

Answers

The probability that a respondent has both portable earbuds and a smart speaker is 0.16

What is the probability that a respondent has both portable earbuds and a smart speaker?

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

54.5% of respondents have portable earbuds 30% of the respondents who have smart speaker.

This means that

P(earbuds) = 54.5%

P(smart speaker) = 30%

Using the above as a guide, we have the following:

P = P(earbuds) * P(smart speaker)

Substitute the known values in the above equation, so, we have the following representation

P = 54.5% * 30%

Evaluate

P = 0.16

Hence, the probability is 0.16

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Assume that women's heights are normally distributed with a mean given by μ = 63.6 in, and a standard deviation given by a = 2.5 in. Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that her height is between 62.9 in and 63.9 in.
The probability is approximately
(Round to four decimal places as needed.)

Answers

The probability that the woman's height is between 62.9 in and 63.9 in is 0.1580

Calculating the probability of values from the the z-scores

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

Mean = 63.6Standard deviation = 2.5Age = between 62.9 and 63.9

So, the z-scores are

z = (62.9 - 63.6)/2.5 = -0.28

z = (63.9 - 63.6)/2.5 = 0.12

i.e. between a z-score of -0.28 and a z-score of 0.12

This is represented as

Probability = (-0.28 < z < 0.12)

Using a graphing calculator, we have

Probability =  0.1580

Hence, the probability is 0.1580

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If tan⁡θ=-5/2 and sin⁡θ>0, find the exact values of sin⁡θ,cos⁡θ,sec⁡θ,csc⁡θ,cot⁡θ.

Answers

The exact values are;

sin⁡θ = -5/√29

cos⁡θ = 2/√29

sec⁡θ =√29/2

csc⁡θ = -√29/5

cot⁡θ = -2/5

We are given that

tan⁡θ=-5/2 and sin⁡θ>0

First quadrant: I, 0°<θ<90°

We can find the first quadrant between 0° and 90° , the values from 0 to the positive numbers for the x-axis and the y-axis, the functions sine, cosine and tangent will always have positive values.

sin⁡θ = -5/√29

cos⁡θ = 2/√29

sec⁡θ =√29/2

csc⁡θ = -√29/5

cot⁡θ = -2/5

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PLEASE HURRY

Write the vector v in terms of i and j whose magnitude and direction angle are given ||v|| = 2/3, theta = 116 deg

Answers

The vector v can be expressed as v = -0.161 i + 0.618 j, where i and j are the unit vectors

To express a vector v in terms of i and j, we need to find its x and y components. The magnitude ||v|| of a vector is given by:

||v|| = √(v₁² + v₂²)

where v₁ and v₂ are the x and y components of v, respectively.

The direction angle θ of a vector with respect to the positive x-axis is given by:

θ = atan(v₂/v₁)

where atan denotes the arctangent function.

In this problem, we are given that the magnitude ||v|| of the vector v is 2/3, and its direction angle θ with respect to the positive x-axis is 116 degrees. Therefore, we can write:

||v|| = √(v₁² + v₂²) = 2/3

θ = atan(v₂/v₁) = 116°

Solving for the x and y components, we get:

v₁ = ||v|| cos(θ) = (2/3) cos(116°) ≈ -0.161

v₂ = ||v|| sin(θ) = (2/3) sin(116°) ≈ 0.618

Therefore, the vector v can be expressed as:

v = -0.161 i + 0.618 j

where i and j are the unit vectors in the x and y directions, respectively.

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what is the mode of 14, 17, 21, 28, 40

Answers

Answer:

24

Step-by-step explanation:

14 + 17 + 21 + 28 +40 / 5

120 / 5

24

2. How does making tables help you
identify relationships between terms in
patterns?

Answers

Answer:

Step-by-step explanation:

well if you know the term than you know the pattern

A red marble is drawn from a bag containing 3 red and 3 blue marbles. If the red marble is not replaced, find the probability of drawing a second marble that is blue.

Answers

The probability of drawing a second marble that is blue is 3/5

Finding the probability of drawing a second marble that is blue.

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

A red marble is drawn from a bag containing 3 red and 3 blue marbles.

If the marbles were not replaced, then we have

P(Red) = 3/6

Now there are

3 blue marbles and 2 red marbles left

So, we have

The probability of choosing a blue marble, after a red marble is

P(Blue) = 3/5

Evaluate

P(Blue) = 3/5

Hence, the probability of choosing a blue marble, after a red marble is 3/5

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If g(x) = 3x -2 and (gof)(x) = 15x + 10, find f(x).​

Answers

Answer:

the function f(x) is f(x) = 5x + 4.

Step-by-step explanation:

To find f(x), we need to use the formula:

(gof)(x) = g(f(x)) = 3f(x) - 2

We are given that (gof)(x) = 15x + 10, so we can substitute this expression into the formula to get:

3f(x) - 2 = 15x + 10

Simplifying this equation, we get:

3f(x) = 15x + 12

Dividing both sides by 3, we get:

f(x) = 5x + 4

Therefore, the function f(x) is f(x) = 5x + 4.

The function f(x) = 2-5* can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function? 0 2 05 10 • 32

Answers

The given function does not represent the curve passing through the given points. The multiplicative rate of change of the function is 5.

What is Curve Line ?

A curve is a continuous, smooth line that gradually alters direction. Rather than being straight line that follows a curve may be referred to as a curve line. A curve line can be made by connecting a number of non-straight-line-lying sites. In mathematics, a curve is a geometrical object that can be described by equations, such as parametric or function equations.

The rate of change of a function is the ratio of the change in the output (y) to the change in the input (x). In this case, we can calculate the rate of change between the first two points:

Changing at what rate between (1, 10) and (2, 50)?

Y change = 50 – 10 = 40

Variation in x = 2 - 1 = 1

Rate of change equals change in y/change in x, or 40/1, or 40.

In a similar manner, we can determine how quickly the second and third points will change:

The change between (2, 50) and (3, 250) is as follows:

Changing y by 250 - 50 equals 200

Variation in x = 3 - 2 = 1

Rate of change equals change in y/change in x, which is 200/1, or 200.

Now that we have the second rate of change, we can compute the multiplicative rate of change by dividing it by the first:

Multiplicative rate of change is equal to 200/40, or 5.

The function's multiplicative rate of change is thus 5.

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A group of 7 friends is planning a hike. Each friend will need of a gallon of water to drink during the hike. How many gallons of water will the group need for the hike? ​

Answers

The group will need 7 gallons of water.

22. The expression 3(-4b) - 2(a - b - c) is equal to which of the following expressions?
(1) -2a - 10b - 2c
(2) -2a - 10b + 2c
(3) -2a -5b + 2c
(4) -2a -4b - 2c
(5) 2a-4b - 2c​

Answers

Answer:

We can simplify the expression as follows:

3(-4b) - 2(a - b - c) = -12b - 2a + 2b + 2c

Combining like terms, we get:

= -2a - 10b + 2c

Therefore, the expression 3(-4b) - 2(a - b - c) is equal to option (2), -2a - 10b + 2c.

Step-by-step explanation:

Im smart

what are the answers to these questions?

Answers

If the line passes through the point (2,8) that cuts off the least area from the first quadrant, the slope is 8/3 and the y-intercept is 0.

To find the equation of the line that passes through the point (2, 8) and cuts off the least area from the first quadrant, we need to first determine the slope of the line. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

We can use the point-slope form of the equation of a line to find the slope. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line. Plugging in (2, 8) as the point, we get:

y - 8 = m(x - 2)

Next, we want to minimize the area that the line cuts off in the first quadrant. Since the line passes through the origin (0, 0), the area cut off by the line in the first quadrant is equal to the product of the x- and y-intercepts of the line.

We can express the x-intercept in terms of y by setting y = 0 in the equation of the line and solving for x:

0 - 8 = m(x - 2)

x = 2 + 8/m

The y-intercept is simply the y-coordinate of the point where the line intersects the y-axis, which is given by:

y = mx + b

8 = 2m + b

b = 8 - 2m

We can now express the area cut off by the line as:

A = x*y

A = (2 + 8/m)*8 - (8 - 2m)*2/m

A = (16 + 64/m) - (16 - 4m)/m

A = 64/m + 4m/m

To minimize the area, we can take the derivative of A with respect to m and set it equal to zero:

dA/dm = -64/m² + 4/m² = 0

64 = 4

m = 8

Plugging m = 8 into the equation for the x-intercept, we get:

x = 2 + 8/8 = 3

So the equation of the line is y = 8x/3.

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Use the even and odd properties of the following functions to answer the questions:
a) If sec⁡θ=-3.1,then sec⁡(-θ)=?

b)If sin⁡θ=0.62,then sin⁡(-θ)=?

Answers

Answer:

[tex]sec(-\theta)=-3.1[/tex]

[tex]sin(-\theta)=-0.62[/tex]

Step-by-step explanation:

Part a.

[tex]sec(\theta)[/tex] is related to [tex]cos(\theta)[/tex] through a reciprocal relationship [tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex].


Since [tex]cos(\theta)[/tex] is an even function (reflecting left-right across the y-axis doesn't change the graph), then [tex]sec(\theta)[/tex] is also an even function.


For any input in the domain, even functions produce the same output if the opposite of the input is used.  In other words, if "f" is an even function, for all x in the domain of f, [tex]f(x)=f(-x)[/tex].

Thus, for the secant function, if a mystery value "x" is used as an input, and -3.1 is obtained as an output, then if the opposite of x, or -x, is input into the secant function, the output will also be -3.1.

[tex]sec(-\theta)=-3.1[/tex]

Part b.

The [tex]sin(\theta)[/tex] function does not reflect left-right across the y-axis to produce the same graph, so the sine function is not even.

However, the sine function can be rotated 180 degree about the origin, sometimes thought of as reflecting through the origin, to produce the same graph.  Visually, this is an "odd" function.

For any input in the domain, if the opposite of the input is used, odd functions produce the opposite of the original output.  In other words, if "g" is an odd function, for all x in the domain of g, [tex]-g(x)=g(-x)[/tex].

Thus, for the sine function, if a mystery value "x" is used as an input, and 0.62 is obtained as an output, then if the opposite of x, or -x, is input into the sine function, the output will be the opposite of 0.62, meaning -0.62.

[tex]sin(-\theta)=-0.62[/tex]

Question 10 of 10
A minor arc will have a measure that is
O A. less than 180°
B. equal to 180°
OC. more than 180°

Answers

Answer:

Less than 180

Step-by-step explanation:

Minor: Less than 180

Major: More than 180

50 Points! Multiple choice algebra question. Which function represents exponential growth? Photo attached. Thank you!

Answers

The exponential growth model is represented by the function y = 10 · 3ˣ. (Correct choice: D)

What function is an exponential growth function?

In this problem we must determine what function does represent an exponential growth model. With this purpose, we must define and understand the following functions:

Exponential growth model

y = a · rˣ, for r > 1.

Exponential decay model

y = a · rˣ, for 0 < r < 1.

Polynomic model

y = ∑ cₙ · xⁿ

The function y = 10 · 3ˣ represents an exponential growth model.

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find two numbers who’s product is -9 and who’s sum is -8

Answers

Answer:

1, -9

Step-by-step explanation:

xy = -9

x + y = -8    solve this for x and substitute into the 1st equation

x = -8 - y

(-8 - y)y = -9

-y² - 8y + 9 = 0

y² + 8y -9 = 0

Solve for y by factoring:

(y - 1)(y + 9) = 0

y = 1, -9

x(1) = -9

x = -9

x(-9) = -9

x = -9/-9 = 1

PLEASE HELP ME WITH THE WHOLE PROBLEM PLEASEEEE

Answers

The probability of getting blue or green is 1/3, the probability of getting blue is 3/4 and there are 8 blue marbles.

What is the probability in each case?

a) If the probability of getting a yellow marble is 2/3, then the probability of getting a blue or green marble is:

P(blue or green) = 1 - P(yellow) = 1 - 2/3 = 1/3

b) If the probability of getting a green marble is 1/4, then the probability of getting a blue marble is:

P(blue) = 1 - P(green) = 1 - 1/4 = 3/4

c) The total number of marbles in the bag is 24. Let x be the number of blue marbles. Then the number of yellow marbles is 2x, and the number of green marbles is 24 - x - 2x = 24 - 3x. We know that:

2x/24 = 2/3 (probability of getting a yellow marble is 2/3)

=> x = 8

Therefore, there are 8 blue marbles in the bag.

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A plane is flying at a speed of 320 miles per hour on a bearing of N65°E. Its ground speed is 390 miles per hour and its true course, given by the direction angle of the ground speed vector, is 30°. Find the speed, in miles per hour, and the direction angle, in degrees, of the wind.

Answers

The speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.

We are given the speed of a plane on a bearing of N [tex]75^\circ[/tex] E and its ground speed. We have to find its speed in miles per hour and the direction angle in degrees. We will apply the formula of projection for both the x-axis and y-axis.

As we know, projection, R = V + W

Now, the x-axis projection will be R cos[tex]15^\circ[/tex] according to the angle given to us. Therefore, R cos [tex]15^\circ[/tex] = V cos[tex]30^\circ[/tex] + [tex]W_{x}[/tex]

The y-axis projection,

R sin [tex]15^\circ[/tex] = V sin [tex]30^\circ[/tex] + [tex]W_{y}[/tex]

From here, now we will find [tex]W_{x}{[/tex] and [tex]W_{y}[/tex]

[tex]W_{x}{[/tex] = 330 cos[tex]15^\circ[/tex] - 390 cos[tex]30^\circ[/tex]

[tex]W_{x}[/tex] = -19 miles/hour

[tex]W_{y}[/tex] = 330 sin[tex]15^\circ[/tex] - 390 sin[tex]30^\circ[/tex]

[tex]W_{y}{[/tex] = -109.6 miles per hour

Now, W = [tex]\sqrt{(W_{x})^{2} + (W_{y})^{2{}}[/tex]

W = [tex]\sqrt{(-19.0)^{2} + (-109.6})^{2{}}[/tex]

W = 111.2 miles/hour

Now, we will find the angle with the help of tan θ.

tan θ = [tex]\frac{W_{y}}{W_{x}}[/tex]

tan θ = [tex]\frac{-109.6}{-19.0}[/tex]

θ =  [tex]tan ^{-1} (\frac{109.6}{19.0})[/tex]

θ = 260.[tex]2^\circ[/tex]

Therefore, the speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.

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Solve and check: 3/4h+11=20 helpp!

Answers

Answer: 12

Step-by-step explanation:

We have to find h so the first step is to subtract the 11 from the 20

3/4h=9

Then to move the 3/4 over to the other side, you must multiply it by it's reciprocal, 4/3.

h= 4/3 x 9

This equals 12.

College Level Trig Question Any help will do!!

Answers

The value of x in the equation y = 9 sec(2x) at [0, π/4) ∪ (π/4, π/2] is x = 1/2[sec₋¹(y/9)]

Calculating the values of x

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

y = 9 sec(2x)

The interval of x is also given as

[0, π/4) ∪ (π/4, π/2]

This means that the values of x is from 0 to π/2, however, the function is undefined at x = π/4 i.e. there is a hole at x = π/4

Next, we set the equation to y

So, we have

9 sec(2x) = y

Divide both sides by 9

sec(2x) = y/9

Take the arc sec of both sides of the equation

2x = sec₋¹(y/9)

Divide both sides by 9

x = 1/2[sec₋¹(y/9)]

Hence, the value of x is x = 1/2[sec₋¹(y/9)]

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esson Quiz
The ages, in years, of 6 volunteers at the local food pantry are listed below. If a 7th volunteer joins them, what would their age be so that the range of their ages will be 557
(56, 81, 54, 47, 45, 94)
O
S
8
18
10

Answers

The age of the 7th volunteer has to be 602 years so that the range of the all volunteer ages will be 557.

Given ages of 6 volunteers = (56, 81, 54, 47, 45, 94)

The range = maximum value - minimum value.

So, range of the given list = 94 - 45 = 49.

To increase, the range to 557, we have to add an age that is greater than 94, To obtain that age we have to solve 557 - 45 = 508. [here 557 is the maximum value]

Now, by adding the obtained range to the 94 we can get the required age of 7th volunteer. So 508 + 94 = 602.

From the above explanation, we can conclude that the age of the 7th volunteer has to be 602 years which is unrealistic so that the range becomes 557.

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Use the unit circle to find the exact value of the trig function
cos(210°)

Answers

Answer:

-[tex]\sqrt{3}[/tex]/2

Step-by-step explanation:

cos is negative in quad II

cos(210)= -cos(30) = -[tex]\sqrt{3}[/tex]/2

Please help me out it’s a new topic and I don’t know how to do it

Answers

Answer:

=x2-100

Step-by-step explanation:

When I said x2 I mean (x*x)

Yogi is installing carpet in the hotel lobby. He Charges 4.30$ per square foot for the carpet plus $75 installation fee what is the total cost

Answers

If Yogi Charges 4.30$ per square foot for the carpet plus $75 installation fee, the total cost of installing carpet in the hotel lobby with Yogi is $2,225.

To determine the total cost of installing carpet in the hotel lobby with Yogi, we need to know the area of the lobby in square feet. Once we have the area, we can use Yogi's pricing scheme to calculate the total cost.

Assuming that we have measured the area of the lobby to be 500 square feet, we can calculate the total cost as follows:

Cost of carpet = area × price per square foot

= 500 × $4.30

= $2,150

Cost of installation = $75

Total cost = cost of carpet + cost of installation

= $2,150 + $75

= $2,225

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Element X is a radi
an experiment starts out with 490 grams of Element X, write a function to represent
the mass of the sample after t years, where the monthly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per month, to the nearest
hundredth of a percent.

Answers

Let r be the monthly rate of change of Element X, expressed as a decimal. We can then write the function to represent the mass of the sample after t years as:

m(t) = 490(1 + r)^(12t)

This function takes into account that there are 12 months in a year, so we need to raise the quantity (1 + r) to the power of 12t to account for the number of months that have passed.

To find the percentage rate of change per month, we can use the following formula:

percentage rate of change per month = r * 100

For example, if r = 0.02, then the function to represent the mass of the sample after t years would be:

m(t) = 490(1 + 0.02)^(12t)

And the percentage rate of change per month would be:

percentage rate of change per month = 0.02 * 100 = 2%

Note that the rate of change could be positive or negative depending on the decay or growth of Element X, but the formula above assumes a positive growth rate.

Find m so that x + 5 is a factor of - 3x^4 - 10x^3 + 20x^2 - 22x + m.​

Answers

If x + 5 is a factor of the given polynomial, then (x + 5) must divide the polynomial evenly, meaning that the remainder is 0 when the polynomial is divided by x + 5.

We can use polynomial long division or synthetic division to find the quotient and remainder, but it's easier to use the fact that if x + 5 is a factor, then (-5) must be a root of the polynomial.

So, we can substitute x = -5 into the polynomial and set it equal to 0 to find m:

-3(-5)^4 - 10(-5)^3 + 20(-5)^2 - 22(-5) + m = 0

Simplifying and solving for m:

-3(625) + 10(125) + 20(25) + 110 + m = 0

-1875 + 1250 + 500 + 110 + m = 0

m = 1015

Therefore, m = 1015 so that x + 5 is a factor of - 3x^4 - 10x^3 + 20x^2 - 22x + m.

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which pair of numbers between -7 and -8? Please hurry I need it asap The table shows the number of hours that a group of friends been in the first week training to run a marathon. In the second week they each add five hours to their training times what are the mean median mode and range of times for the second weekJeff - 9Mark - 5Karen - 5 Costas - 5Brett - 7Nikki - 6Jack - 7A. Mean is 10Median is 11 Mode is 11. 3Range is 4B. Mean is 11 Median is 11. 3 Mode is 10Range is 0. 3CMean is 11. 3Median is 11 Mode is 10Range is 4DMean is 11. 3Median is 11 Mode is 10Range is 0. 3Please help this is a test question Find to value of a if you knew the perimeter was 250 inches long identify influences that support the development of more flexible views of gender. When a 3. 0-kg block is pushed against a massless spring of force constant 4. 5103N/m, the spring is compressed 8. 0 cm. The block is released, and it slides 2. 0 m (from the point at which it is released) across a horizontal surface before friction stops it. What is the coefficient of kinetic friction between the block and the surface? Explain the difference between Greek and Muslim contributions to the notion of climate variability across the earth An important example of interaction between fungi and certain other organisms is mycorrhizae, in which the fungal partners _____. see concept 31.1 (page) Power is inherited through a bloodline but a constitution limits the monarchs power when is the vocal word How did decolonized states in asia, africa, and latin america (the third world) struggle to find a "third way" but find themselves caught between rival superpower? A national forest service wanted to estimate the number of deer in a particular national park. they caught and tagged 55 deer and released them back into the park. later they selected a sample of 319 deer. of the 319 deer, 29 were tagged. assuming that the proportion of tagged deer in the sample holds for all deer in the forest, what is the best estimate of the number of deer in the park? Complete the sentence. Standard precautions make up the main component of______ asepsis. show work/steps pleaseFind the Taylor series for f centered at 6 if f(n) (6) = (-1)"n! 4"(n + 2) n = 0 What is the radius of convergence R of the Taylor series? R = = X How did Americans lower their dependency on oil from the Middle East during the oil crisis?(1 point) A. They increased speed limits on highways. B. They increased speed limits on highways. C. They started to produce more of their own oil. They started to produce more of their own oil. They decreased the price of oil and gas by four times. They decreased the price of oil and gas by four times. They let people buy as much gas as they wanted. They let people buy as much gas as they wanted Which substance abuse involves injection of the drug to produce intense excitement, energy, boldness, and paranoia similar to that produced by cocaine If you plan to accept audience questions during your presentation the best method for moving from one slide to the next is Calculate the highest frequency x-rays produced by 810^4eV electrons 7. In Nech sar National park, lions kill and eat Zebras A Mutualism B. parasitism 8 Head lice and a human predation D. None B. Mutualism All the above A competition Sparasitism All the plants and animals and microorganisms found in your school compound represent ecosystem Cabiotic All the above level of organization community The soil, pond water, light coming from the sun, Eucalyptus trees, birds, and human beings found in your school compound C. abiotic D Ecosystem A community B. biotic 11. Consumer organisms in an ecosystem obtain their organic nutrients directly from A the sun B. the air they breathe C the water they drink Eating other organisms producers 17 Carnivores that feed on herbivores in an ecosystem are A. Primary consumers 8. Primary secondary consumers D tercity conturiers Escondary camion 13 The trophic level of secondary carnivores in an ecosystem is E. S level A. 2d level B 3 level C. 1" level 9.4 level 14. Which of the following lists gives the names of the planets in order of their distance from the su A Mercury, Mars, Venus, Earth & Jupiter, Saturn, Uranus, Neptune D. Mars, Jupiter, Uranus, Saturn C Jupiter, Mercury, Venus, Earth 15. Which object's name changes based on its location? A planet B. Moon Meteoroid D. the sun 16 Which answer shows a pattern from closes object to the Earth to farthest from the Earth? 8. Saturn- Moon sun & Moon-Sun- Saturn E. Sun Moon Saturn A water & Hydrogen A. sun-Saturn-moon D. Moon-Saturn- sun 17. The sun is composed primarily Uranium of one average sta C. Oxygen D. Helium 8. several stars spread across spac How many mature ova are produced from a primary oocyte as a result of the meiotic divisions during oogenesis?. The rear defroster of your car operates on a current of 6. 00 A. If the voltage drop across it is 5. 00 V, how much electric power is it consuming as it melts the frost