The coordinates of the endpoints of PQ are P( – 12,7) and Q( – 4, – 9). Point R is on PQ and divides it such that PR:QR is 3:5

Answer:

267

Step-by-step explanation:

Answer:

Approximately 0.333

Step-by-step explanation:

If we graph this we see that the line goes over the y-axis at (0,0.333)

*I use desmos graphing calculator*

Answer:

1/3 is the y-intercept of the function f(x)=-2/9x + 1/3.

Step-by-step explanation:

\(f(x) = mx + c \\ f(x) = - \frac{2}{9} x + \frac{1}{3}\\where,\:c\: is\: the\: intercept. \)

Answer:

Step-by-step explanation:

To determine the value of k such that (x-4) is a factor of the polynomial f(x) = x³ + 2x² - 11x + k, we need to find the remainder when f(x) is divided by (x-4). If the remainder is zero, then (x-4) is a factor of the polynomial.

Using polynomial long division, we divide f(x) by (x-4):

scss

Copy code

         x² + 6x + 5

    ____________________

x - 4 | x³ + 2x² - 11x + k

         - (x³ - 4x²)

         ___________

                 6x² - 11x

                 - (6x² - 24x)

                 ___________

                          13x + k

                          - (13x - 52)

                          ___________

                                  k + 52

The remainder is k + 52. For (x-4) to be a factor of the polynomial, the remainder should be zero. Therefore, we have the equation k + 52 = 0.

Solving for k, we get:

k = -52

So, the value of k that makes (x-4) a factor of the polynomial is k = -52.

Answer:

10

Step-by-step explanation:

a1=2

a=2

an=-5an-1+3

plug in

(2)5=10

On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

For more such questsion on interval visit:

https://brainly.com/question/30460486

#SPJ8

Answer:

y=3

Step-by-step explanation:

m=0

b=3

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

The box-and-whisker plot for the data can be seen in the attachment.

The data given to us is:

50, 51, 54, 55, 57, 61, 62, 63, 65, 66, 67, 68, 71, 71, 76, 76, 77.

As the data is already ordered from least to greatest, we can apply the formulas.

The sample size, n = 17.

Start point = 50.

First quartile, Q1 = (n + 1)/4 th observation = (17 + 1)/4 th observation = 18/4 th observation = 4.5 th observation = average of the 4th and the 5th observation = (55 + 57)/2 = 112/2 = 56.

Median, Q2 = (n + 1)/2 th observation = (17 + 1)/2 th observation = 18/2 th observation = 9th observation = 65.

Third quartile, Q3 = 3(n + 1)/4 th observation = 3(17 + 1)/4 th observation = 3*18/4 th observation = 54/4 th observation = 13.5 th observation = average of the 13th and the 14th observation = (71 + 71)/2 = 142/2 = 71.

End point = 77.

Thus, the box-and-whisker plot should be designed as follows:

The start of the first whisker is from 50, representing the start point.

The start of the box is from 56, representing the first quartile.

The line inside the box is at 65, representing the median.

The end of the box is at 71, representing the third quartile.

The end of the whisker is at 77, representing the endpoint.

The box-and-whisker plot can be seen in the attachment.

Learn more about the box-and-whisker plot at

https://brainly.com/question/28034849

#SPJ1

Answer:

45 degree

Step-by-step explanation:

45+45 90 +90 180

All triangles will have 180 degrees angle

Answer:

The third angle is 180-(49+75)=56 degrees

HOPE IT HELPS

FOLLOW ME

MARK IT AS BRAINLIEST INBOX

Answer:

56

Step-by-step explanation:

There is a 20 percent chance the relationship being studied is real.  Option D

If a study shows a result with a P value of 0.2, it means that there is a 20 percent chance that the observed relationship being studied is due to random chance or sampling variability.

In other words, the P value represents the probability of obtaining a result as extreme as, or more extreme than, the observed result if the null hypothesis were true.

The null hypothesis assumes that there is no real relationship or effect in the population being studied. The alternative hypothesis, on the other hand, suggests that there is a real relationship or effect. The P value helps determine the strength of evidence against the null hypothesis.

A P value of 0.2 means that if the null hypothesis were true (i.e., there is no real relationship), there would be a 20 percent chance of obtaining a result as extreme as, or more extreme than, the observed result by random chance alone.

This implies that the observed result is not statistically significant at conventional levels of significance (typically set at 0.05 or 0.01), which means there is not enough evidence to reject the null hypothesis.

Therefore, the correct answer is (D) There is a 20 percent chance the relationship being studied is real. It's important to note that the P value does not directly indicate the probability of the relationship being true or real, but rather the probability of obtaining the observed result under the assumption of no relationship. Option D

For more such questions on relationship visit:

https://brainly.com/question/29539046

#SPJ8

Answer: C  domain

Step-by-step explanation:

The domain of the graph is the defined inputs of a function which is mostly the x values.

There will be infinite number of states and paths when the state space is (x,y) as the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane.

The collection of every possible setup for a system is its state space. It is a common abstraction in the study of artificial intelligence and game theory because it can be used to reason about the behavior of a specific system. A state space is typically introduced into a system description without being given any thought to its precise physical meaning. However, it is well known that choosing an appropriate state space representation makes it simpler for us to comprehend or control a system's property.

To know more about state space,

https://brainly.com/question/14463050?referrer=searchResults

#SPJ4

Answer: 5n = 3d and 3n + 6 = 2d + 4

Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.  

We are to select the system of equations that could be used to solve the problem.  

Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:

n/d = 3/5

5n = 3d

(n+2)/(d+2) = 2/3

3(n+2) = 2(d+2)

3n + 6 = 2d + 4

Thus, the required system of equations is,

5n = 3d and 3n + 6 = 2d + 4

Brainliest pweaseee if the answer is clear and correct! <3 ~~~

Answer:

(5,9)

Step-by-step explanation:

x= 5

y= 2x-1

y= 2(5)-1

y=9

x=5----> (5,9)

Answer:

50 hombres y 25 mujeres

Step-by-step explanation:

Sea m el número de hombres y w el número de mujeres.

El total es 75

Así; m + w = ​​75 •••••••• (i)

Además; 16% de m + 20% de w = 13

0,16 m + 0,2 w = 13

Multiplicar por 100

16m + 20w = 1300 ••••• (ii)

De i, m = 75-w 16 (75-w) + 20w = 1300

1200 - 16w + 20w = 1300

4w = 1300-1200

w = 100/4 w = 25

Recordar; w + m = 75

25 + m = 75

m = 75-25

m = 50

a) The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

b) A Chi-Square goodness of fit test.

a) A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported and that's why we know that the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

Chi-Square goodness of fit is used to find out how the observed value of a given phenomenon is significantly different from the expected value. In Chi-Square goodness of fit test, the sample data is divided into intervals.

In this case, we have one categorical variable which is the distribution of individuals within several social groups. We want to see if the actual distribution of the variable is significantly different from the distribution within several social groups as claimed(expected) by the newspaper.

Hence, we will use chi-square goodness of fit test for this case.

b) A Chi-Square goodness of fit test.

Here the variable is the distribution of individuals purchasing season pass at an amusement park. The variable has 4 categories based on the age group of the individuals.

A tourist company wants to test the actual distribution of individuals within each age group and wants to check if it is significantly different from the expected distribution i.e the one claimed by the amusement park.

The tourist company randomly sampled 200 individuals entering the park.

The proportion of individuals within each group as claimed by the amusement park is given.

Hence, we will use chi-square goodness of fit test to test if the actual distribution within each group is significantly different or not from the claimed distribution.

To learn more about distribution, click here:

brainly.com/question/31197941

#SPJ4

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

Learn more about quadratic equation at:

https://brainly.com/question/1214333

#SPJ1

Euler's method estimate y(1), we find the value of y'(0) is 0 value of y1  is 5.

To use Euler's method to estimate y(1), we first need to find the value of y'(0) using the initial conditions.

y'(0) = 0² + 0(5) = 0

Now we can use the formula for Euler's method:

y1 = y0 + h x f(x0, y0)

where h is the step size (0.2 in this case), f(x, y) is the differential equation (x² + xy in this case), x0 = 0 (the initial value of x), and y0 = 5 (the initial value of y).

y1 = 5 + 0.2 x (0² + 0 x 5) = 5

So the estimated value of y(0.2) is 5.

To find y(0.4), we use the formula again with x0 = 0.2 and y0 = 5:

y2 = y1 + hf(x1, y1) = 5 + 0.2(0.2² + 0.2 x 5) = 5.24

Continuing in this way, we can find estimates for y(0.6), y(0.8), and y(1):

y3 = y2 + hf(x2, y2) = 5.576

y4 = y3 + hf(x3, y3) = 5.951

y5 = y4 + h x f(x4, y4) = 6.366

So the estimated value of y(1) is 6.366 (rounded to four decimal places).

Learn more about Euler's method

brainly.com/question/14309211

#SPJ11

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

Answer:B

Step-by-step explanation:one unit to the left because it says plus one

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

y=−7x−5

Step-by-step explanation:

​  

​

if the 3% comes with the car in equation you take the amount of seperate asteroids created by the moon and divide it by that 3% then add the number 25 and use that to the power of 3 and then you get the answer:

Santa is and isnt real at the same time

Given that Brenda wants to recover her investment, we can say that it would take her almost 2 years to get her median salary.

We have the total costs to be $15000

then the number of years that it would take to get the degree is 2 years.

In order to get the median salary we would have to carry out a division

=  2×$45,258 +15,000 = $105,516

then  $63,292 -45,258 = $18,034

$105,516/($18,034 = 5.85

2 + 5.85 = 7.85

This can be approximated to almost 8 years

Hence the median salary that we have here is almost 8 years

Read more on median here: https://brainly.com/question/19243813

#SPJ1

Complete question

Brenda has an associate’s degree earning the median salary. She wants to quit working and go to college to get just a basic bachelor’s degree. If she completes her degree in 2 years and it costs $15,000, how long will it take her to recover her investment assuming that she earns the median salary? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. almost 6 years b. almost 7 years c. almost 8 years d. almost 9 years

Answer:

The function relating student absent days to grades has a negative slope (grades decrease as absences increase).

Step-by-step explanation:

There isn't much information in the question, but here are a couple of observations.  Prof. Andrews found:

Just kidding on the last 2, but all statements could be valid based on what little information is provided.

Answer:

\(z ^{ - 2} \)

Step-by-step explanation:

z the power of 3-5 then power of -2

Answer:

\( {z}^{ - 2} \times x\)

Answer:

36

Step-by-step explanation:

2(10)+4^2

20+4^2

20+16

36

Answer: The result of the math formula =2*10+4^2 is 28.

To calculate this formula, you first need to perform the exponentiation operation of 4^2, which is 16. Then, you multiply 2 by 10, which gives you 20. Finally, you add 20 to 16, which gives you the final answer of 28.