actional material to complete this problem.4Find the y-intercept of y = 5x-1.4The y-intercept of y=x-1 is(Type an ordered pair.)Help me solve thisT'CStark bewölktFULLHD-1080-View an example...Get more help.OLDeCf

Actional Material To Complete This Problem.4Find The Y-intercept Of Y = 5x-1.4The Y-intercept Of Y=x-1

Answers

Answer 1
Answer:

(0, -1)

Explanations:

Given the linear equation expressed as;

\(y=\frac{4}{5}x-1\)

The y-intercept of the equation is the point where x = 0. Substitute x = 0 into the equation to calculate for ""y"

\(\begin{gathered} y=\frac{4}{5}(0)-1 \\ y=0-1 \\ y=-1 \end{gathered}\)

Therefore the y-intercept of y = 4/5x - 1 is (0, -1)


Related Questions

What is the distance between the points (-4, 2) and (3, -5)?

Answers

Answer:

c

Step-by-step explanation:

the other guy is bad

Convert the following point from spherical to rectangular coordinates: (6,5π4,3π4). (x,y,z)=______
Usage: To enter a point, for example (x,y,z), type "(x, y, z)".

Answers

Answer:

nxjhbfhbfwihsfnjkfdbjbshcxbdbjibebfhdhwhhdhdhffvnfnjehrhffbfgnfjrjhhfrj

Step-by-step explanation:

PLEASE HELP!!!
The Area of the shaded region of the figure is 48 units. What is n? Show your work.

PLEASE HELP!!!The Area of the shaded region of the figure is 48 units. What is n? Show your work.

Answers

Answer:

33

Step-by-step explanation:

for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity discontinuous with a jump discontinuity discontinuous with a point discontinuity

for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity

Answers

Answer:

ITS UNDEFINED

Step-by-step explanation:

2-3)/2^2 - 4

-1/(4-4)

-1/0

ITS UNDEFINED

Answer:

\(\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(\displaystyle f(x)=\frac{x-3}{x^2-4}\)

When x = 2.

We can see that the denominator is equal to 0 when the input value is 2.

\(2^2-4=4-4=0\)

Obtaining a zero in the denominator indicates a point of discontinuity.

In the graph below, we can see that the function is discontinuous at x = 2.

\(\rule[225]{225}{2}\)

for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity

y is directly proportional to x 2 . If y = 12 when x = 2 find x when y = 300

Answers

y ——> x 2

12 —-> 2 power 2

300 —-> ?

300 x 4 over 12 = 100

100= x squared

square root 100 = x = 10

factorisé x2 + 14x +49

Answers

The expression is factorized to give (x + 7) and (x + 7)

What is factorization?

Factorization described a mathematical methods that consists of writing a number or mathematical object as a product of several other factors that are mostly simpler or smaller objects of the same kind.

Given the quadratic equation;

x² + 14x +49

Find the pair factors of 49 that sum up to 14, the numbers are 7 and 7

Now, substitute the numbers in the expression

x² + 7x + 7x + 49

Make into two expressions, we have;

(x² + 7x) + (7x + 49)

factor out the common terms, we get;

x(x + 7)+ 7(x + 7)

Then, we have;

(x + 7)

(x + 7)

Hence, the factorized form is (x + 7) and (x + 7)

Learn more about factorization here:

https://brainly.com/question/25829061

#SPJ1

HELP ME PLEASE WILL MARK BRAINLIEST

HELP ME PLEASE WILL MARK BRAINLIEST

Answers

Answer:

i think its either the first or second one but imma go w the first

Step-by-step explanation:

Answer:

40 1/2 ounces

Step-by-step explanation:

I got it right on my test

if you borrow $1200 for 3 years at an annual interest rate of 4%, how much will you pay altogether

Answers

Here, we want to calculate the amount that should be paid pack on a loaned amount, given the time frame of the loan and the interest

In financial terms, the amount to be paid back can be calculated using the formula below;

\(\text{Amount = Principal + Interest}\)

The amount borrowed is referred to the principal while the extra value to be paid back is referred to as the interest

From the question, we already have the principal as $1,200, what is left now is to calculate the interest

Mathematically;

Interest = (principal * rate * time)/100

From the question;

Rate = 3%

Time = 3 years

Substituting these values in the interest equation, we have;

Interest = (1200 * 4 * 3)/100 = 12 * 4 * 3 = $144

Therefore, the amount to pay back will be;

Amount = 1200 + 144 = $1,344

Hence, if you borrow $1200 for 3 years at an annual interest rate of 4%, you pay back $1,344 altogether

Now you try on your own.

Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?

$25=
Answer


w=
Answer


$65=
Answer


For this specific expression, would it make sense to plug in a negative number for w
? Answer


For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?

Now you try on your own.Kelly wants to build a new wardrobe for herself with only clothing pieces she

Answers

The Interpretatiom of the equation is that;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

How to solve algebra word problems?

The algebra word problem can be solved by using variables to denote certain parameters I'm the question.

The general form of equation of a line in slope intercept form is;

y = mx + c

Where;

m is slope

c is y-intercept

We are given the equation:

$25w + $65

This equation represents the amount of money Kelly will have saved after some amount of weeks.

Thus;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

Read more about Algebra Word problems at; https://brainly.com/question/21405634

#SPJ1

Today’s cafeteria specials are a turkey sandwich and a pepperoni pizza. During 1st lunch, the cafeteria sold 70 turkey sandwiches and 29 pepperoni pizzas for a total of $367. During 2nd lunch, 70 turkey sandwiches and 45 pepperoni pizzas were sold for a total of $415. How much does each item cost?

Answers

Answer:

$4 and $3

Step-by-step explanation:

First, write out the equations as 70x + 29y = 367 and 70x + 45y = 415. Solve by using the elimination method by subtracting 70x from 70x. 45y minus 29y is equal to 16y. 415 minus 367 is 48. Divide 48 by 16, to get y is equal to get y is equal to three. Y represents pepperoni pizzas, so a pepperoni pizza costs $3. Plug a 3 into any equation for y and solve for x. 29 times 3 is 87. 367 minus 87 is 280. 280 divided by 70 is equal to 4, so x is equal to 4.

The cost of each turkey is $4 while the cost of each pepperoni pizza is $3

Let x represent the cost of each turkey and let y represent the cost of each pepperoni pizza.

During 1st lunch, the cafeteria sold 70 turkey sandwiches and 29 pepperoni pizzas for a total of $367, this can be represented by the equation:

70x + 29y = 367    (1)

During 2nd lunch, 70 turkey sandwiches and 45 pepperoni pizzas were sold for a total of $415. this can be represented by the equation:

70x + 45y = 415     (2)

Solving equation (1) and (2) simultaneously gives:

x = 4, y = 3

Therefore the cost of each turkey is $4 while the cost of each pepperoni pizza is $3

Find out more at: https://brainly.com/question/16763389

Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?

Answers

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Michel uses the scale drawing and the scale factor to enlarge a square that has a side length of 12 in.

A square with side lengths of 12 inches. Scale factor: 3 inches = 2 meters.
Which proportion could Michel use to solve the side length, x, of the enlarged square?
StartFraction 3 inches over 2 meters EndFraction = StartFraction x meters over 12 inches EndFraction
StartFraction x inches over 2 meters EndFraction = StartFraction 3 inches over 12 meters EndFraction
StartFraction 3 inches over x meters EndFraction = StartFraction 2 meters over 12 inches EndFraction
StartFraction 3 inches over 2 meters EndFraction = StartFraction 12 inches over x meters EndFraction

Answers

Answer:

Its D.

Step-by-step explanation:

If you use cross products and multiply then the ratios will be the same. So like x = 8 so 3/2 is equal to 12/8 and since the factor is 4, 4 x 2 is8 which gives you the answer for x if you multiply it so therefore this is the correct equation.

ITS D I DID THE TEST ON EDGE PLEASE GIVE ME BRAINLIEST

:0

A university is interested in determining the average statistics anxiety score for all undergraduate students in the U.S. For a random sample of 33 undergraduate students, it is found that the average average statistics anxiety score is 39.4 with a standard deviation of 0.9. Assume that the statistics anxiety scores for all undergraduate students in the U.S is normally distributed. A 98% confidence interval for the true mean statistics anxiety score μ is closest to.

Answers

The 98% confidence interval for the true mean statistics anxiety score μ is approximately (39.023, 39.777).

To calculate the 98% confidence interval for the true mean statistics anxiety score μ, we can use the formula:

\(\[\text{CI} = \bar{X} \pm Z \cdot \left(\frac{\sigma}{\sqrt{n}}\right)\]\)

where \(\bar{X}\) is the sample mean (39.4), Z is the Z-score corresponding to the desired confidence level (in this case, 98% corresponds to a Z-score of 2.33), σ is the population standard deviation (0.9), and n is the sample size (33).

Plugging in the values, we get:

CI = 39.4 ± 2.33 * (0.9/√33).

Calculating this expression, we find:

CI = 39.4 ± 2.33 * (0.162),

CI ≈ 39.4 ± 0.377.

Therefore, the 98% confidence interval for the true mean statistics anxiety score μ is approximately (39.023, 39.777).

This means that we are 98% confident that the true average statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

To learn more about anxiety scores

https://brainly.com/question/31081748

#SPJ8

Amadi has jar with one dollar and two dollar coins in it.

There are coins in total.

A jar of one and two dollar coins.

The ratio of one dollar coins to two dollar coins is .

How many coins are two dollar coins

Answers

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

For more such questions on dollar

https://brainly.com/question/30057220

#SPJ8

A market researcher, having collected data on breakfast cereal expenditures by families with one, two, three, four, or five children living at home, plans to use an ordinary regression model to estimate the mean expenditures at each of these five family size levels. However, the researcher is undecided between fitting a linear or a quadratic regression model, and the data do not give clear evidence in favor of one model or the other. A colleague suggests: "For your purposes, you might simply use an ANOVA model." Is this a useful suggestion? Explain.

Answers

Answer:

Yes it is a useful suggestion

Step-by-step explanation:

Using the ANOVA model is a good idea because using it would give allowance For us to compare the five means of the five different family sizes. By this, during investigation there would be no confusion as to if a quadratic or linear relationship exists between the variables family size and breakfast cereal expenditure.

We would be comparing the mean expenditure of food of these 5 different family size levels so anova is useful.

Answer and Step-by-step explanation:

ANOVA model is mathematical model describe relationship between response and treatment.

One way ANOVA is given by:

YIJ = µ + Ti +Єij

Where, yij represent jth observation on ith treatment.

In this question, researcher collected data on the breakfast expenditure of a family whose size is five.

Yes, we can use ANOVA model. ANOVA can be used even if there is quadratic nonlinear relationship between expenditure and family size.

Since, the family size is five; we have to compare their mean expenditure on food.

The ANOVA one way model is:

YIJ = µ + Ti +Єij

For i=1, 2,3,4,5 and j= 1, 2,3,4,5

With hypothesis,

H01 : µ1 are equal.

H11 : at least two i not equal to j.

Given 3 + 7 + 11 + 15 + … find S20

Answers

Answer:

Hi

Please mark brainliest ❣️

Given 3 + 7 + 11 + 15 + find S20

Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}

Select Is a Function or is not a Function to correctly classily each relationIs a Functionis not a Function{(2,

Answers

Answer:

1: NOT A FUNCTIN

Step-by-step explanation:


Select all the points that are on the graph of the line 2x+8y= 16,
a.
(0,2)
b. (0,4)
C. (1,2)
d. (1,4)
e. (4,1)
f. (8,0)

Answers

Answer:

Step-by-step explanation:

a, e, f

Consider the two triangles. How can the triangles be proven similar by the SSS similarity theorem?

Consider the two triangles. How can the triangles be proven similar by the SSS similarity theorem?

Answers

Answer:if their corresponding sides are proportional.

Step-by-step explanation:

100 points and I will give brainlist but before I get released, I have to verify answers

100 points and I will give brainlist but before I get released, I have to verify answers

Answers

A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.

The step in which Johnetta made her error include the following: A. step 1.

What is a fraction?

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

Based on the information provided above, the division can be calculated as follows;

Fraction = (-5/8) ÷ (-3/4)

Fraction = -5/8 × (-4/3)

Fraction = -20/24

For Johnetta, we have:

Fraction = 7/9 ÷ 3/8

Fraction = 7/9 × 8/3

Fraction = 56/27

Read more on fraction here: brainly.com/question/29367657

#SPJ1

Find the value of x in the
following parallelogram:
2x - 10
2x + 50

Answers

Answer:

the value of x = 35 ( NOT - 40 )

Step-by-step explanation:

In order to calculate the value of x in the  following parallelogram:  2x - 10  

2x + 50, we would have to calculate the following formula:

m<QPS+m<PQR=180°

According to the given data we have the following:

m<QPS=2x - 10  

m<PQR=2x + 50

Therefore, 2x - 10+2x + 50=180

4x+40=180

x=140/4

x=35

The value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know,

In a parallelogram sum of the two adjacent angles is equal to 180 degree

2x - 10 + 2x + 50 = 180

4x + 40 = 180

4x = 140

x = 35

Thus, the value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ2

Find the value of x in thefollowing parallelogram:2x - 102x + 50

Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.​

Answers

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

For more such questions on angle, click on:

https://brainly.com/question/25770607

#SPJ8

Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???

Answers

Answer:

6

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the missing number in the given sequence, let's analyze the pattern:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???

Looking at the sequence, we can identify a few patterns:

The sequence alternates between increasing and decreasing numbers.

The first two numbers, 2 and 4, are increasing.

The next two numbers, 4 and 3, are decreasing.

The following two numbers, 3 and 6, are increasing.

The subsequent two numbers, 6 and 3, are decreasing.

The next two numbers, 3 and 8, are increasing.

The subsequent two numbers, 8 and 9, are increasing.

Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.

Now let's determine the missing number:

From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.

Let's assume the missing number is x:

8 - x

Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):

8 - (3 - 1) = 8 - 2 = 6

Therefore, the missing number in the sequence is 6.

The complete sequence is:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6

A cake recipe calls for 40 milliliters of water for every 20 milliliters of cooking oil. How many milliliters of water are needed if 50 milliliters of cooking oil were used? A. 25 ml B. 100 ml C. 200 ml D. 1,000 ml

Answers

Answer:

B

Step-by-step explanation:

break in down to a simplier...

2.5x40=100

20 goes into 50 twice leaving 10 left over which is half of 20.

hope this helps

Answer:

it is b i know im late

Step-by-step explanation:

also wanna be my friend sissykatlin2026

After flooding damaged much of the crop, the cost of lettuce jumped from $0.66 to $1.44. What % of increase is this?

Answers

To establish the percentage of increase in the price, first, we need to know how much it increased exactly:

\(\text{Inrease}=1.44-0.66=0.78\)

The increase in cost was $0.78. To establish the percentual increase, we need to know what percentage is 0.78 of the initial value (0.66). We can calculate it by dividing the increase (0.78) by the initial value (0.66):

\(\frac{0.78}{0.66}=1,1818\)

This means that the increase in cost is 1.1818 times the initial cost. Therefore, the percentage of increase is approximately 118.18%.

What is the measure of 23, in degrees, in the figure shown? 30° 137° 3​

What is the measure of 23, in degrees, in the figure shown? 30 137 3

Answers

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Solve each equation if \(f (x) = 2x^{2} - 2\) and \(g(x) = 6x + 3\)

Solve each equation if [tex]f (x) = 2x^{2} - 2[/tex] and [tex]g(x) = 6x + 3[/tex]

Answers

a) Given: f(x)=2x^2-2 Find: f(3)

f(3)= 2(3)^2-2 => 18-2 => 16

Ans: f(3)=16

b) Given: g(x)=6x+3 Find: x when g(x)=48

48=6x+3 => 45=6x => x=45/6 => x=15/2

Ans: 15/2

c) Given: g(x)=6x+3 Find: g(1/3)

g(1/3)=6(1/3)+3 => 2+5 => 7

Ans: g(1/3)=7

Solve the initial value problem y′+y=f(t),y(0)=0 where f(t)={1,−1, if t<4 if t≥4 Use h(t−a) for the Heaviside function shifted a units horizontally.

Answers

Looks like the function on the right hand side is

\(f(t)=\begin{cases}1&\text{for }t<4\\-1&\text{for }t\ge4\end{cases}\)

We can write it in terms of the Heaviside function,

\(h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}\)

as

\(f(t)=h(t)-2h(t-4)\)

Now for the ODE: take the Laplace transform of both sides:

\(y'(t)+y(t)=f(t)\)

\(\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s\)

Solve for Y(s), then take the inverse transform to solve for y(t):

\((s+1)Y(s)=\dfrac{1-e^{-4s}}s\)

\(Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}\)

\(Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)\)

\(Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}\)

\(\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)\)

\(\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}\)

A. 78
B. 87.5
C. 100

please answer will give brainliest!!!!!!!

A. 78B. 87.5C. 100please answer will give brainliest!!!!!!!

Answers

Answer: 100

Mode is simply the number which appears most often.

100 is the only number that appears more than once

100 because its repeated 2 times and its only one have more than 1 time

PLEASE HURRY
Kevin rides the bus to school each day. He always arrives
at his bus stop on time, but his bus is late 80% of the time.
Kevin runs a simulation to model this using a random
number generator. He assigns these digits to the possible
outcomes for each day of the week:
• Let 0 and 1 = bus is on time
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late
The table shows the results of the simulation.
Group number 1
2
3
4
5
Random digits 28713 01792 00095 72765 24943
Group number 6
7
8
9
10
Random digits 39638 24697 | 47511
0929771197
What is the estimated probability that Kevin's bus will be late every day next
week?

Answers

Answer:4/10 40%

Step-by-step explanation:

Answer:

Your answer would be 4/10 OR 40%.

Step-by-step explanation:

Other Questions
Assume that the reduced cost of a decision variable is $20 for a maximization problem. This implies that: A. the objective function value will increase by $20 if we produce an additional unit of this product B. the shadow price value will decrease by $20 if we produce an additional unit of this product c. the objective function value will decrease by $20 if we do not produce any units of this product D. the objective function value will decrease by $20 if we produce an additional unit of this Problem \( 1.7 \) The following diagram depicts a closed-loop temperature control system. noom 1emperuture vomtro Ustry a 1netmostut (a) Explain how this control system works. (b) If the automatic con Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.Which describes the number of months it will take to pay off the debt? Select three options.x + 15 + 35 = 15535 x + 15 = 15535 x = 155 minus 15It will take 8 months to pay off the debt.It will take 4 months to pay off the debt. EACH OF THE GREEN EQUATIONS HAS ASOLUTION THAT MATCHES THESOLUTION OF A BLUE EQUATION.RECORD THE MATCHING PAIRS OFEQUATIONS AND THEIR SOLUTIONS INTHE PURPLE BOX AT THE RIGHT.A5(3x-2) = 4(2x + 1)D-x + 3 = 2(x + 15)BCards A andCards B andCards C and-4x=-(10x+18)E-3(x + 4) = 6(-x - 1)Cfare true when x =are true when x=are true when x =2.5x = 5(4x+12)4x-20= -2(-3x+22) according to the lecture on business ecosystem analysis, which one of these is not one of porters five forces? Question 9 of 10What happened as the number of public schools in the South began to grow?OA. Both whites and Blacks went to the same schools.B. Blacks and whites were kept in separate schools.OC. Blacks asked to have separate schools.D. Blacks got the same education as whites.SUBMIT At a yearly check-up, Michaels doctor is alarmed because he identified a tumor on Michaels lung. Without further testing, Michaels doctor does not know if this particular tumor is cancerous or not. Which statement best describes how the tumor formed in Michaels lung.A.The cell possesses double nucleiB.Radiation exposureC.Uncontrolled cell divisionD.Spending prolonged time in S phase OOOO"Each House shall be the Judge of the Elections, Returns and Qualifications of its ownMembers...""The House of Representatives shall be composed of Members chosen every secondYear by the People of the United States...""The Senate shall choose their own Officers, and also a President pro tempore...""The Times, Place and Manner of holding Elections for Senators and Representatives"15) Highlight or circle the sentence from the U.S. Constitution that best illustrates the principleof popular sovereignty. 4x + y = 107x + 2y = 17 Answers please help! which of the following is the most likely responsible for the health-promoting effects (reduced incidence of obesity, high blood pressure, and some types of cancer) of vegetarian diets? (refer to figure 63.) what is the length of the displaced threshold for runway 22 at toledo (tdz)? "There is no such thing as control. There is only chaos."who says this :) let w be the set of all vectors of the form [a bab] . find vectors u and v in r3 such that w=span{u,v} For each expression, write an equivalent expression that uses only addition: a. 20 - 9 + 8 - 7 b. 4x - 7y - 5z + 6 c. -3x - 8y - 4 - 8/7z the plaintiff in an adea case must prove that the younger employees are substantially younger which means at least _____ years younger to qualify. Choose the function that the graph represents.Click on the correct answer. Claim: While the Industrial Revolution had both positive and negative effects on society and the economy, the positive effects outweighed the negative.Write three logical arguments that support the claim. Be sure to include evidence to support each argument. Write a counterclaim related to the claim. Hint: the counterclaim is often the opposite of the claim. Counterclaim: While the Industrial Revolution had both positive and negative effects on society and the economy, the negative effects outweigh the positive. Write one logical argument to support the counterclaim. Be sure to include evidence to support the argument. Explain why the arguments and evidence that support the claim are stronger than the argument and evidence that support the counterclaim. Briefly redo Mundell-Fleming model. Problem 2 Use the Mundell-Fleming model to predict what would happen to aggregate income, the exchange rate, and the trade balance under both floating and fired exchange rates in response to each of the following shocks: 1. A fall in consumer confidence about the future induces consumers to spend less and save more. 2. The introduction of a stylish line of Toyotas makes some consumers prefer foreign cars over domestic cars. 3. The introduction of automatic teller machines reduces the demand for money. If an object has a torque of 15Nm applied to it over a 0.3s time period, and has a moment of inertia of 0.75kgm 2. what is the angular velocity of the object?A. 187.3deg/sB. 65.2deg/sC. 343.8deg/sD. 6.Odeg/s