A polynomial function had -5+ root 3i as a root which of the following must also be a root of the function

Step-by-step explanation:

a. 81 ÷ 9 = 9

b. 40 ÷ 5 = 8

c. 21 ÷ 3 = 7

d. 54 ÷ 6 = 9

e. 42 ÷ 7 = 6

f. 63 ÷ 9 = 7

g. 36 ÷ 4 = 4

h. 45 ÷ 9 = 5

i. 39 ÷ 3 = 12

j. 24 ÷ 6 = 4

Answer:

The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.

Step-by-step explanation: this is your answer plz rate e the most brainlest

Answer:

I would love to help you but all I see is dots

Answer:

The answer of life is 42 just look it up

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

the middle term = 70x⁴y⁴

Step-by-step explanation:

Given;

(x+y)⁸

This expression can be expanded as follows, using Paschal triangle;

                                                 1      1

                                               1    2     1

                                             1     3      3      1

                                         1     4       6      4     1

                                    1       5     10    10       5    1

                            1           6      15     20     15     6        1

                    1            7         21      35     35      21     7          1

        1                 8          28        56     70     56    28       8         1

At level 8, the middle coefficient is 70

Also the power of x and y will be equal in the middle term = A(xⁿ yⁿ)

A = 70 ,

n +n = 8

n = 4

Thus, the middle term = 70x⁴y⁴

Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

Answer:

soviet russia

Step-by-step explanation:

just kidding

The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market

Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].

Fernando

[tex](9y^3)(5y^3)[/tex]

= [tex]9 * 5 * y^3 * y^3[/tex]

= [tex]45y^6[/tex]

Salma

[tex](3y)(15y^5)[/tex]

= [tex]3 * 15 * y * y^5[/tex]

= [tex]45y^6[/tex]

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18[/tex]

[tex]a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77[/tex]

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Answer:

Check the explanation

Step-by-step explanation:

Part a

H0: µ2≤µ1 versus H1: µ2>µ1

(Upper tailed test)

WE will consider differences as (New – Old).

From given data, we have

Dbar = 0.70

SD = 0.70

n = 5

Degrees of freedom = df = n – 1 = 5 – 1 = 4

Test statistic = t = (Dbar - µd) /[SD/sqrt(n)]

t = (0.70 – 0)/[0.70/sqrt(5)]

t = 0.70/ 0.3130

t = 2.2361

Critical value = 2.1318

(by using t-table)

P-value = 0.0445

(by using t-table)

P-value < α = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the first attached image for the graphical table.

Part b

P-value = 0.0445

α = 0.01

P-value > α = 0.01

So, we do not reject the null hypothesis

There is insufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the second attached image for the graphical table.

Answer: a makes the most sense

Step-by-step explanation:

Answer:

173.15 yards is the distance from tee to hole.

Step-by-step explanation:

Please refer to the image attached.

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]

To find: side AC.

Using trigonometric functions, we know that value of sine is:

[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]

Here [tex]\theta = \angle BAC = 12^\circ[/tex]

Perpendicular is side CB.

Hypotenuse is side AC.

[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]

Hence, 173.15 yards is the distance from tee to hole.

Domain (infinity,infinity)

Range (infinity,[tex]\sqrt{7}[/tex])

Answer:

a. Yes

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.

In this question:

[tex]\mu = 7, \sigma = 3[/tex]

Would you be surprised if it took less than one minute to find a parking space?

We have to find the z-score when X = 1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1 - 7}{3}[/tex]

[tex]Z = -2[/tex]

Since Z = -2, the correct answer is:

a. Yes

Answer:

1/10

Step-by-step explanation:

there are 10 tiles and only 1 tile numbered 4 so 1 out of 10 tiles are numbered 4

Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

Answer:

The common factors of 45 and 72 are 9, 3, 1

Step-by-step explanation:

Answer:

The GCF of these two numbers is nine.

Step-by-step explanation:

They share three common factors: 1, 3 and 9. The greatest out of all of those is 9. Hope this helps!

Answer:

Yes, he would take the same decision.

Step-by-step explanation:

Consequently, because the decision is taken on the test based on the use of alpha equals 0.025, the p-value of the test must have been greater than the given amount of importance that is 0.025 since the test is not applicable to us. So, p > 0.025.

If we know that p > 0.025, that would not mean p > 0.1 as well, because we do not know with the details given he had to make the same decision for 0.1 degree of meaning.

As for the 0.01 significance point, we 're sure p > 0.01 is greater than 0.025, so the test does not matter.

Answer:

9 times

Step-by-step explanation:

hope this helps

Answer:

9

Step-by-step explanation:

Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.

I think you mean mathematically though, so yes, it would be 9.

Answer:

  7(5 +2)

Step-by-step explanation:

From our knowledge of times tables, we know that ...

  35 = 5·7

  14 = 2·7

so the greatest common factor of 35 and 14 is 7. Factoring that out, we have ...

  35 +14 = 7(5 +2)

Answer:

7/7

Step-by-step explanation:

Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)

The null and alternative hypothesis for the tests are:

H0: μ = 20

Ha: μ < 20

Given data:

In this situation, the null and alternative hypotheses can be formulated as follows:

Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.

Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.

In symbolic notation:

H0: μ = 20

Ha: μ < 20

where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.

The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.

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Answer:

100x3=100  55x3=the answer    55x3=165 students   165 6th graders have a younger sibling.

Step-by-step explanation:

i did the assignment

55 percent of 300 is equal to 165.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given,

55% of 300

55% can be written as fraction 55/100

= (55/100) × 300

Dividing 300 by 100

= 55 × 3

Multiplying

= 165

Hence, 165 is 55 percent of 300.

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Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

Answer:

B; {x|x<-8}

Step-by-step explanation:

Answer:

Y=x-3/4

Step-by-step explanation:

slope intercept form

(slope=x)(1x=x)

Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

Answer:

200; 80% of 250 is 200

Answer:

Step-by-step explanation:

200