define onto relation.​

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

The z-score for the data is Z= -2.83.

The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

The formula for calculating the z-score is :

Mean = 33000

μ = 34000

n = 200

σ = 5000

Putting all values,

\(Z = \dfrac{\bar x-\mu}{\sigma}\\Z = \dfrac{33000 - 34000}{\dfrac{5000}{\sqrt{200}}}\\Z = -2.83\)

Hence, the value of the z-score will be Z= -2.83.

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The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.

The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).

In other words,

sec(x) = 1 / cos(x)

The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.

To convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.

We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.

Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.

Now we can find the secant of this angle:

sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638

So the answer is approximately -1.638 degrees.

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Answer: C=3(5)

The answer is C 16

Answer:

\(5 + (9 + b) \\ 5 + 9 + b \\ 14 + b \: answer\)

Step-by-step explanation:

Answer:

4,600

Step-by-step explanation:

A = P(1 + rt)

P = 4000

r = 0.05 (rate in percent form)

t = 3 years

A = 4000(1 + (0.05)(3))

A = 4000(1+0.15)

A = 4000(1.15)

A = 4,600

Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

9 minutes

Step-by-step explanation:

108 x 3 = 324

324/36 = 9

Answer:

210 = 2 * 3 * 5 * 7

Step-by-step explanation:

210/2 = 105

105 / 3 = 35

35 / 5 = 7

7 / 7 = 0

210 = 2 * 3 * 5 * 7

Solve the system of linear equations below, using substitution method.

8x + 9y = 36

3x + 4y = 16

your answer is in attachment....

Answer: $16.60

Step-by-step explanation:

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

total: 16.60

The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip  $16.60

We have given that,

Carl went out for breakfast.

• The price of his meal was $12.35.

• The sales tax was 7.5% of the price of the meal.

• The tip was 25% of the price of the meal and the sales tax.

We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.

Total money=price + tax

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

Total money =16.60

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Answer:

I wish I can read all the text

The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Answer:

Step-by-step explanation:

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.

GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99

(1) The null and alternative hypothesis would be:

a.H0:μN≥μD

H1:μN>μD.

b.H0:μN=μD

H1:μN≠μD.

c.H0:pN≥pD

H1:pN d.H0:pN=pD

H1:pN≠pD.

e.H0:μN≤μD

H1:μN<μD

f.H0:pN≤pD

H1:pN>pD.

(2) The test is:_______.

a. right-tailed.

b. two-tailed.

c. left-tailed.

(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02

The result of the interpretation of the graph:

Spring side weakens the correlation shown in the scatter plot.

The correct option is D.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given:

The mean test score is represented in the scatter plot as a function of the average class size.

This demonstrates that there is a negative link between the mean class size and the mean test score,

with the mean score decreasing as the mean class size increases.

The correct response is:

Spring-side decreases the association displayed in the scatter plot.

However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.

Therefore, spring-side weakens the correlation shown in the scatter plot.

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The complete question:

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.

Which is a true statement regarding Spring side?

Spring side does not affect the correlation.

Spring side weakens the correlation shown in the scatter plot.

The spring side strengthens the correlation shown in the scatter plot.

Removing Spring side would increase the value of the correlation coefficient.

The scatter plot is attached in the image.

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

-200 represents the price it orignally cost??

Step-by-step explanation:

The required value of h(9) must be 40 which is the correct answer would be option (3).

The function h(x) has an average rate of change of 7 on the interval 5 ≤ x ≤ 9. This means that, on average, the output of the function increases by 7 for every unit increase in the input.

We are given that h(5)=12, which means that the function has an output value of 12 when the input is 5.

To find the value of h(9), we can use the average rate of change to calculate the expected increase in the function's output over the interval 5 ≤ x ≤ 9.

Since the average rate of change is 7, we expect the function's output to increase by 7 × (9-5) = 28 over this interval.

So, the expected value of h(9) is:

⇒ 12 + 28 = 40.

Therefore, the required value of h(9) must be 40.

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Answer:

She attempted 200  throws

Step-by-step explanation:

Percentage of free throws for the basketball player = 60%

the Let Total attempts made be x

Number of free attempts made = 120

Number of free attempts made =60% of total attempts made

120 = 60/100 *x

120 = 60x/100

x = 120*100/60 = 200

Thus, She attempted 200  throws

Answer:

7.8 x \(10^{-2}\)

Step-by-step explanation:

this is the real answer

Answer:

y=1x-2

Step-by-step explanation:

Well this one is already given

When x=0, it's the y intercept

and it gives the slope, so we got it :D

Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=1(x-0)

y+2=1(x)

y+2=x

y=x-2

Answer:

y = -3x + 5

Step-by-step explanation:

12x + 4y = 20

4y = -12x + 20

y = -3x + 5

Answer:

what is this......................

Answer:

It is either 4 or 9.

Step-by-step explanation:

because you have to subtract or divide

Answer:

D. y = -³/2x - 1

Step-by-step explanation:

Given that a line has a slope (m) of -³/2, and a y-intercept of -1, an equation of this line in the slope intercept form is given as y = mx + b.

Where,

m = slope of the line = -³/2

b = y-intercept of the line = -1.

Substitute m = -³/2, and b = -1 into y = mx + b to get the equation of the line in slope-intercept form.

Thus, we would have:

y = -³/2x + (-1)

y = -³/2x - 1

Answer:

2⁵ x 3

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 is the same as 2⁵[multiplying 2 with itself for 5 times]