What is the y-intercept of the function, represented by the table of values
below?
O A. 5
O B. 3
O c. 10
O D. 6

Correct option is C. used to predict the dependent variable called the intervening variable.

What is the relation between a function and the dependent and independent variables?

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

In regression analysis, a function y = f(x) is generated, which predicts the output y according to the input variable x.

To learn more about dependent and independent variables from the given link

https://brainly.com/question/14120535

#SPJ4

Answer:

-6.3x + 1.7

Step-by-step explanation:

(-3.4x +4.7) - (3 +2.9x)

distrubute the negitive sign

-3.4 +4.7 -3 -2.9x

combine like terms

-6.3x + 4.7-3

-6.3x +1.7

Answers:

======================================

Explanation:

7+6 = 13. Divide this over 5 to get 13/5 = 2 remainder 3. The quotient 2 is something we don't care about. We only worry about the remainder. Therefore 7+6 = 3 (mod 5)

-------------

2+1 = 3 (mod 5) for similar reasoning as above. 3/5 = 0 remainder 3.

-------------

20 = 9 (mod 11) since 20/11 = 1 remainder 9. Imagine you had 20 cookies and 11 friends. Each friend would get 1 whole cookie (quotient) and there could be 9 left over (remainder).

-------------

35/11 = 3 remainder 2

Or you could use repeated subtraction like so to find the remainder

35-11 = 24

24-11 = 13

13-11 = 2

The last result (2) is smaller than 11, so we stop here and this is the remainder.

Therefore, 35 = 2 (mod 11)

--------------

Here's another way to think of it. Consider you have $35 in your pocket. Let's say a store is selling trinkets for $11 each. We can pose these key questions:

The answer to the first question is 3 trinkets because 3*11 = 33 dollars is under the budget of $35. The amount left over is 35-33 = 2 dollars which is the remainder. It's not larger than 11, so we cannot buy any more trinkets at this point.

The minimum score needed to be in the top 2% of the exam is 90.5, which is two standard deviations above the mean.

To calculate the minimum score needed to be in the top 2%, we need to find the value of two standard deviations above the mean. This can be done using the formula x = μ + (2σ), where μ represents the mean and σ represents the standard deviation. In this case, μ = 76.4 and σ = 6.1. We substitute these values into the formula to get x = 76.4 + (2*6.1), which equals 90.5. Therefore, the minimum score needed to be in the top 2% is 90.5. To further understand this calculation, it is important to note that the normal distribution curve is symmetrical. This means that the area under the curve that is two standard deviations above the mean is 2%, which is the same as the area under the curve that is two standard deviations below the mean. Therefore, the score that is two standard deviations above the mean is the minimum score needed to be in the top 2%.

Learn more about mean here

https://brainly.com/question/30094057

#SPJ4

Answer:

204 other nuts

Step-by-step explanation:

340/5=68

68*3=204

a) The linear system has no solution when a ≠ 2 and a^2 - 4 = 0. b) The linear system has a unique solution when a ≠ 2 and a^2 - 4 ≠ 0.  c) The linear system has infinitely many solutions when a = 2 and a^2 - 4 = 0.

To determine the values of "a" for which the linear system has no solution, a unique solution, or infinitely many solutions, we can analyze the augmented matrix and its row echelon form. Let's write the augmented matrix for the given linear system:

[1   1   -1   |   2]

[1   2    1   |   3]

[1   1   a^2-5|   a]

Performing row operations to obtain the row echelon form:

R2 = R2 - R1

R3 = R3 - R1

[1   1   -1   |   2]

[0   1    2   |   1]

[0   0    a^2-4|   a-2]

From the row echelon form, we can make the following observations:

1. If a^2 - 4 ≠ 0, then the linear system will have a unique solution. This is because there are no inconsistencies or contradictions in the row echelon form, and we can solve for all variables.

2. If a^2 - 4 = 0 and a ≠ 2, then the linear system will have no solution. This is because the row echelon form will have a row of zeros on the left side and a non-zero entry on the right side, indicating an inconsistency.

3. If a^2 - 4 = 0 and a = 2, then the linear system will have infinitely many solutions. This is because the row echelon form will have a row of zeros on the left side and a zero entry on the right side, indicating dependent equations and infinite solutions

a) The linear system has no solution when a ≠ 2 and a^2 - 4 = 0.

b) The linear system has a unique solution when a ≠ 2 and a^2 - 4 ≠ 0.

c) The linear system has infinitely many solutions when a = 2 and a^2 - 4 = 0.

To learn more about solutions click here:

brainly.com/question/30967647

#SPJ11

Answer:

(x-2)^2+4.

Hope this helps!

Answer:

117 cm²

Step-by-step explanation:

area of rectangle = 13 * 7 = 91cm²

area of upper one right angle triangle= 1/2 * 6.5 * 4 =13 cm²

area of both triangles = 13 cm² * 2 = 26 cm²

Total area = 91cm² + 26 cm²

--> 117 cm²

The next three terms in each geometric sequence is 72, 36, 18, 9, 4.5, 2.25.

The general form of Geometric Progression is: a, ar, ar 2, ar 3, ar 4,…,a n. Where,

a = First term.

r = common ratio.

a n = nth term.

General Term or Nth Term of GP.

Let a be the first term  

And, r be the common ratio for a G.P.

The general form of Geometric Progression is:

GP-series

Where,

a = First term

r = common ratio

arⁿ ⁻¹ = nth term

The next three terms of the GP is :

2.25 + 2.25 = 4.5

4.5 + 4.5 = 9

9 + 9 = 18

18 + 18 = 36

36 + 36 = 72

Learn more about the geometric sequence here: https://brainly.com/question/24643676

#SPJ1

from what i did it equal 8 i hope i helped good luck

Answer:

5 is the answer

xdxdddx thank you

Answer:

The answer is 5.

Step-by-step explanation:

Using pythagoras theorem:-

\(13^{2}\) = \(x^{2}\) + \(12^{2}\)

=> \(13^{2}\) - \(12^{2}\) = \(x^{2}\)

=> \(x^{2}\) = 25

=> \(x\) = \(\sqrt{25}\)

∴ \(x\) = 5

Answer:

no bro i dont know the answer plss ask others

Answer:

Question 4 is a statistical question aka answer D

Step-by-step explanation:

Correct on edge

Answer:

C

Step-by-step explanation:

It would make sense

Answer:

C is the answer because it is a flipped object that has the same mass as the picture above.

Step-by-step explanation:

Carl swam 600 ft and Kenna swam 900 ft in 5 minutes. Let's assume that Carl's swimming speed is x ft/min. Since Kenna swims 1.5 times as fast as Carl, her swimming speed is 1.5x ft/min.

In 5 minutes, Carl swims a distance of 5x ft, and Kenna swims a distance of 5 * (1.5x) ft = 7.5x ft.

According to the given information, the total distance swum by both of them is 1500 ft. So, we can set up the equation:

5x + 7.5x = 1500

Combining like terms, we have:

12.5x = 1500

Dividing both sides of the equation by 12.5, we get:

x = 120

Therefore, Carl's swimming speed is 120 ft/min, and Kenna's swimming speed is 1.5 * 120 = 180 ft/min.

In 5 minutes, Carl swims a distance of 5 * 120 = 600 ft, and Kenna swims a distance of 5 * 180 = 900 ft.

know more about distance here:

https://brainly.com/question/15172156

#SPJ11

Triangle abc is congruent to triangle edf. So, priya knows that there is a sequence of rigid motions that takes abc to edf. From the rigid transformation that takes ABC to EDF, the coinciding parts based on congruency; are matched below.

Triangle congruence is when two triangles are said to be congruent to one another, it signifies that their corresponding sides and angles are equal.

Consequently, we can state that if triangle ABC and triangle EDF are congruent;

Angle A ≅ Angle E

Angle B ≅ Angle D

Angle C ≅ Angle F

Segment AB ≅ Segment ED

Segment AC ≅ Segment EF

Segment BC ≅ Segment DF

Read more about Congruent triangles at; brainly.com/question/7727792

#SPJ4

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

The equation of the line in slope intercept form is

we have

-----> the point (0,16) is the y-intercept

substitute

convert to function notation

f(x)=y

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

step 2

Find the equation of the line into point slope form

we have

substitute

Convert to standard form

Multiply by 4 both sides to remove the fraction

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

-brainly user

Answer:

Your function would be y = 1/2x + 16.

Explanation:

Points: (0, 16); (2, 17)

Slope: m = (17 - 16) / (2 - 0) = 1/2

Slope intercept form: y = mx + b

So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.

Therefore, your ending function is y = 1/2x + 16.

False. When comparing means of two groups with equal sample sizes, we can use either a paired test or an independent samples test.

The choice between the two depends on the design of the study and the nature of the data.

A paired test is used when the data are paired or matched in some way. For example, in a pre- and post-test design, the same group of individuals is measured before and after an intervention, and the difference between the two measurements is analyzed. In this case, a paired t-test would be appropriate.

On the other hand, an independent samples test is used when the data are not paired or matched. For example, in a randomized controlled trial, individuals are randomized to receive either an intervention or a control, and the means of the two groups are compared. In this case, an independent samples t-test would be appropriate.

Therefore, the decision to use a paired test or an independent samples test depends on the research question, the design of the study, and the nature of the data.

Learn more about sample sizes here

https://brainly.com/question/30224379

#SPJ11

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

for more questions on porosity

https://brainly.com/question/3107253

#SPJ11

Answer:

the answer is 30 different ways

Step-by-step explanation:

The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

Learn more about statistics here;

https://brainly.com/question/16528376

#SPJ4

To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

To learn more about minimize total time click here: brainly.com/question/15071332

#SPJ11

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

----------------------------

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.

Answer: -6

Step-by-step explanation: $22 - $16 + $27 - $39 = -6

Symbol equation --> a - b + c - d = x

The center of a circle represented by the equation (x−5)2+(y−6)2=42 is (5, 6).

Let us discuss here circle definition, formulas, important terms with examples in detail. A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry.

The equation of the circle can be written in standard form as follows:

(x - h)² + (y - k)² = r²,

where,

(h, k) is the center of the circle and

r is the radius.

Comparing the given equation with the standard form,

we can see that the center of the circle is at (5, 6) and the radius is √42 = 2√10.

Therefore, the center of the circle represented by the equation (x−5)2+(y−6)2=42 is (5, 6).

for such more question on circle

https://brainly.com/question/24375372

#SPJ11

The total cost to produce the first 1800 items is approximately $44,904.

To find the total cost to produce the first 1800 items, we need to first integrate the Marginal Cost function, c'(x), to obtain the Cost function, C(x). Given the Marginal Cost function:

\(C'(x) = 0.8 - 0.00002x + 0.000000004x^2\)
Integrate with respect to x:

\(C(x) = ∫(0.8 - 0.00002x + 0.000000004x^2) dxC(x) = 0.8x - 0.00001x^2 + 0.000000001333x^3 + C\)

We know that C(0) = $21,000, so:

21000 = 0.8(0) - 0.00001(0)^2 + 0.000000001333(0)^3 + C
C = 21000

Now, the Cost function is:

\(C(x) = 0.8x - 0.00001x^2 + 0.000000001333x^3 + 21000\)

To find the total cost to produce the first 1800 items, plug in x = 1800:

C(1800) = 0.8(1800) - 0.00001(1800)^2 + 0.000000001333(1800)^3 + 21000

Calculate the result and round to the nearest dollar:

C(1800) ≈ $44,904

So, the total cost to produce the first 1800 items is approximately $44,904.

To learn more about total cost, refer below:

https://brainly.com/question/28652728

#SPJ11

Using the following property of the fractions:

Therefore:

The inequality of the form Ax + B ≤ C to represent the word problem will be 15h + 5c ≤ 60.

From the information given, the cost of headphone is $15.00 and the cost of each chips is $5.00.

In this case, let headphones be represented by h and chips be represented by c. The total amount that can be spent is $60. Therefore, the inequality to represent the word problem will be 15h + 5c ≤ 60.

Learn more about inequalities on:

brainly.com/question/24372553

#SPJ1

If x and y are integers and x>4 and y<10 then the smallest negative value of x - y is -4.

What is inequality?

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality'. So, a lack of balance results in inequality.

If two things are not equal, the first value can be either greater than (>) or lesser than (<) or greater than equal to (≥) or less than equal to (≤) the second value.

According to the given question:

The given variables x and y are subjected to inequality > and < respectively. This implies the values each variable can have.

As given x > 4 ⇒ x = 5, 6, 7, 8, 9, 10, ....

Similarly y < 10 ⇒ y = 9, 8, 7 , 6, 5, ..., 0, -1, -2, -3, -4, ....

Let's work out the smallest value of x - y using trial and error method

        So, x - y = 5 - (-2) = 7

        7 is not a negative value.

        Therefore y cannot have negative values as subtraction operation

        will lead to positive value.

        x - y = 5 - 6 = -1

        - 1 is a negative number but not the smallest as y can attain values

        more than 6.

        x - y = 5 - 9 = -4

        - 4 is the smallest negative value

Therefore if x and y integers subjected to the given inequality, the smallest negative value x - y can attain is -4.

To learn more about inequality visit

https://brainly.com/question/17675534

#SPJ1