Did I do this right?

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

Learn more about graph Visit: brainly.com/question/19040584

#SPJ4

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

Step-by-step explanation:

a = 16

b = 3

because only the factor 3 gets repeatedly added every year (x).

the rest (the starting value that gets tripled and then tripled and then tripled ... every year) is constant.

f(x) = 16×3^x

as you know, exponents have the higher priority to multiplications.

if you want to be save you can use brackets like

f(x) = 16×(3^x)

The value that represents the vertical translation from the graph of the parent function is 3.

What is translation?

A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Here, we have

Given: function f(x) = x² , g(x)=(x+5)²+3

We have to find the value that the vertical translation from the graph of the parent function f(x) to the graph of the function g(x).

function

We apply the following function transformations:

Horizontal translations:

Suppose that h> 0

To graph y = f (x + h), move the graph of h units to the left:

For h = 5, we have:

f(x+5) = (x+5)²

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 3, we have:

g(x) = (x+5)²+3

Hence, The value that represents the vertical translation from the graph of the parent function is 3.

To learn more about the translation from the given link

https://brainly.com/question/12891490

#SPJ9

Answer:

DH is perpendicular to HG

Answer:

35.344

Step-by-step explanation:

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\(\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]\)

Find the determinant of \(\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]\)

\(\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4\)

\(\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12\)

\(\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8\)

\(x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3\)

\(y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2\)

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: https://brainly.com/question/4428059

Answer: it is C

Step-by-step explanation:

Answer:

17 just subtract 5 from 26.25 and divide 21.25 by 1.25 =17

The answer is 17

Step-by-step explanation:

Answer: 5 gallons per hour.

Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)

\(\frac{30/6}{6/6}=\frac{5}{1}\)

Therefore, our answer is 5.

Therefore, the probability that it will be raining at the end of time is 37.5%.

A) To describe the transition matrix, we can use the following notation: R = It will rain N = It will not rain

Since it is given that if it rained yesterday, then there is a 60% chance of rain today, and if it did not rain yesterday there is an 85% chance of no rain today.

Thus, the transition matrix would be as follows:| P(R/R)  P(N/R)| P(R/N)  P(N/N)| = |0.6  0.4| |0.15  0.85|

B) If it rained Monday, then we need to find the probability that it will rain Wednesday.

We can find this by multiplying the probability of rain on Wednesday given that it rained on Monday and the probability that it rained on Monday.

Thus, the probability of rain on Wednesday, given that it rained on Monday would be:0.6 x 0.6 = 0.36So, there is a 36% chance that it will rain on Wednesday given that it rained on Monday.

C) If it did not rain Friday, then we need to find the probability of rain on Monday. Using Bayes' theorem, we can write: P(R/M) = P(M/R)P(R)/[P(M/R)P(R) + P(M/N)P(N)]where, M = It did not rain Friday= 0.15 (from the transition matrix)P(R) = Probability of rain = 0.6 (given in the problem)P(N) = Probability of no rain = 0.4 (calculated from 1 - P(R))P(M/R) = Probability of it not raining on Friday given that it rained on Thursday = 0.4P(M/N) = Probability of it not raining on Friday given that it did not rain on Thursday = 0.85Substituting these values, we get: P(R/M) = 0.4 x 0.6/[0.4 x 0.6 + 0.85 x 0.4] = 0.31 So, there is a 31% chance of rain on Monday given that it did not rain on Friday.

D) The steady-state vector is the vector that describes the probabilities of being in each of the states in the long run. To find the steady-state vector, we need to solve the following equation: πP = πwhere,π = steady-state vector P = transition matrix Substituting the values from the transition matrix, we get:| π(R)  π(N)| |0.6  0.4| = | π(R)  π(N)| | π(R)  π(N)| |0.15  0.85| | π(R)  π(N)|

Simplifying this, we get the following two equations:π(R) x 0.6 + π(N) x 0.15 = π(R)π(R) x 0.4 + π(N) x 0.85 = π(N) Solving these equations, we get: π(R) = 0.375π(N) = 0.625So, the steady-state vector is:| π(R)  π(N)| = |0.375  0.625|This means that in the long run, there is a 37.5% chance of rain and a 62.5% chance of no rain.

To Know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:10

Step-by-step explanation:Multiply 10*10

Answer:

don´t ge it sorry

Step-by-step explanation:

Answer:

The range of the function is from 2 feet to 12.25 feet

Step-by-step explanation:

In a function f(x) = y

x is the domain of the function

y is the range of the function

The height (h) of the ball at time (t) seconds can be represented by the equation h(t) = - 16 t² + 20 t + 6

∵ h(t) = - 16 t² + 20 t + 6

∴ The domain is t

∴ The range is h(t)

- To find the range of the quadratic function find the maximum or

minimum value of it

∵ The leading coefficient of the function is -16

∴ The function has a maximum value

To find the maximum value differentiate h(t) with respect to t and equate it by 0 to find the value of t for the maximum height

∵ h'(t) = -16(2) t + 20(1)

∴ h'(t) = -32 t + 20

- Equate it by 0

∵ h'(t) = 0

∴ -32 t + 20 = 0

- Subtract 20 from both sides

∴ -32 t = - 20

- Divide both sides by -32

∴ t = 0.625 seconds ⇒ time for the maximum height

Substitute the value of t in h(t) to find the maximum height

∵ h(0.625) = -16(0.625)² + 20(0.625) + 6

∴ h(t) = 12.25 feet

∴ The maximum height of the ball is 12.25 feet

∵ The ball is caught at 2 feet

∴ The range of the function is 2 ≤ h(t) ≤ 12.25

The range of the function is from 2 feet to 12.25 feet

Cindy's average tax rate is approximately 13.59%.

To calculate Cindy's average tax rate, we divide the total tax paid by her taxable income and then multiply by 100 to express it as a percentage.

Average tax rate = (Total tax paid / Taxable income) * 100

In this case, Cindy's taxable income is $65,500, and she has calculated that she will owe $8,902 in taxes.

Average tax rate = (8,902 / 65,500) * 100

Average tax rate ≈ 13.59%

Therefore, Cindy's average tax rate is approximately 13.59%.

To study more about Average Tax Rate:

https://brainly.com/question/28962879

Cindy is projecting her earnings to be $90,000, a taxable income of $65,500, and has calculated that she will owe $8,902. Her average tax rate is 13.60%.

How to find the average tax rate?

The average tax rate is determined by dividing the total tax paid by the total income earned. The average tax rate is calculated by dividing the total amount of tax paid by the total taxable income.

Average Tax Rate = Total Tax Paid / Taxable Income Cindy's

The average tax rate can be found as follows:

Average tax rate = (Total tax paid ÷ Taxable income) × 100%

Average tax rate = ($8,902 ÷ $65,500) × 100%

Average tax rate = 0.135994 × 100% ≈ 13.60%

Therefore, Cindy's average tax rate is 13.60%.

To learn more about the average tax rate visit:

https://brainly.com/question/32228027

#SPJ11

15:51 for Crunch bars

14:51 for Hershey's

10:51 for Mr. Goodbars

12:51 for Cookies and Cream

There are 51 candies in total. We got that by adding all of the candies together. 15 + 14 + 10 + 12 = 51. The probability can be written as a ratio between the different types of candy and the whole number.

The probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

The probability can be written as,

P(Crunch bars) = Number of Crunch bars/ Total number of choclates= 15/51

P(Hershey's Chocolate) = 14/51

P(Mr. Goodbars) = 10/51

P(Hershey’s cookies and cream bars) = 12/51

Hence, the probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

Answer: i can't see the question.

Step-by-step explanation:

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

To learn more about Triangle from given link.

brainly.com/question/2773823

#SPJ1

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

for more questions on traction control system

https://brainly.com/question/32581998

#SPJ8

The value of x is after solving the logarithm equation logx⁽⁵¹²⁾ = 3 is 8.

A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

To solve the logarithm equation, we follow the steps below.

Given:

Step 1:

Therefore,

Step 2:

Convert 512 to index form. (i.e 8³)

Comparing both side of equation 1,

Hence, the value of x is 8.

Learn more about logarithm here: https://brainly.com/question/25993029

#SPJ1

We will have the following:

[We exploit the fact that trigonometric funtions are cyclical to determine the answer.

[Option B]

Answer:

option one is correct

Step-by-step explanation:

3 times =15

5times 5 =25

Answer:

(x+5) m

Step-by-step explanation:

Given that,

The area of a square shape, \(x^2+10x+25\)

We need to find the expression for the length of one side of the square.

The area of a square shaped object is given by :

\(s=x^2\)

x is side of the square

\(s=\sqrt{A} \\\\s^2=x^2+10x+25\\\\=x^2+5x+5x+25\\\\=x(x+5)+5(x+5)\\\\=(x+5)^2\\\\s=(x+5)\)

So, the sides of the square is (x+5) m.

Answer:

(x−5) ^2

Step-by-step explanation:

The number of independent people (X) who view the ad until someone clicks on it (including the person who clicked on the ad), then X follows a geometric distribution with a probability of success p = 0.22.

Question 1: What is the probability that the first person who views the ad clicks on it?

Answer: Since X follows a geometric distribution, the probability that the first person who views the ad clicks on it is equal to the probability of success, which is p = 0.22.

Question 2: What is the probability that at least three people need to view the ad until someone clicks on it?

Answer: To find the probability that at least three people need to view the ad until someone clicks on it, we need to calculate the probability that it takes three or more people. This is equal to 1 minus the cumulative probability up to two people. The cumulative probability of X less than or equal to 2 is given by:

P(X ≤ 2) = P(X = 1) + P(X = 2)

Since X follows a geometric distribution, the probability mass function is given by:

P(X = k) = \(1-p^{(k-1)}\) × p

Using this formula, we can calculate:

P(X ≤ 2) = P(X = 1) + P(X = 2) = \(1-0.22^{(1-1)}\) × 0.22 + \(1-0.22^{(2-1)}\)× 0.22

Question 3: What is the expected value (mean) of X?

Answer: The expected value (mean) of a geometric distribution with probability of success p is given by E(X) = 1/p. Therefore, the expected value of X in this case is:

E(X) = 1/0.22

Question 4: What is the standard deviation of X?

Answer: The standard deviation of a geometric distribution with probability of success p is given by σ(X) = √(q/p²), where q = 1 - p. Therefore, the standard deviation of X in this case is:

σ(X) = √((1 - 0.22)/(0.22²))

Question 5: What is the probability that it takes exactly five people to click on the ad?

Answer: Since X follows a geometric distribution, the probability of X = 5 is given by:

P(X = 5) = \(1-p^{(5-1)}\) × p

Using this formula, we can calculate the probability that it takes exactly five people to click on the ad.

Learn more about standard deviation here:

https://brainly.com/question/13498201

#SPJ11

Answer:

B

Step-by-step explanation:

Answer:

The independent variable is the bill, and the dependent variable is the tip.

Step-by-step explanation:

The independent variable means it can stand alone on it's own.  The bill will always be $20 because that's how much the food costs.  The tip will be different depending on how much the bill is.

A study showed that 13 of 25 cell phone users with a headset missed their exit, compared with 6 of 25 talking to a passenger. The confidence interval is (0.0581, 0.5019).

The confidence interval is $\hat{p}_1$ and $\hat{p}2$ are the sample proportions, $n_1$ and $n_2$ are the sample sizes, and $z{\alpha/2}$ is the critical value from the standard normal distribution for the desired confidence level.

Here, $\hat{p}1 = \frac{13}{25} = 0.52$, $n_1 = 25$, $\hat{p}2 = \frac{6}{25} = 0.24$, and $n_2 = 25$. The desired confidence level is 98%, so $\alpha = 0.02$ and $z{\alpha/2} = z{0.01} \approx 2.33$.

(0.52−0.24)±2.33

Substituting the values, we get:

Simplifying, we get:

(0.28)±2.33×0.1579

Therefore, the 98% confidence interval is:

(0.0581,0.5019)

Rounding to 4 decimal places, the confidence interval is (0.0581, 0.5019).

Learn more about confidence interval here

https://brainly.com/question/20309162

#SPJ11