need help with this one

Need Help With This One

Answers

Answer 1

Number of solutions for the given linear quadratic equation y = x² and

y = 2x+ b is equal to 2.

b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.

As given in the question,

Given linear quadratic equations are:

y = x² and

y = 2x+ b

⇒ x² = 2x + b

⇒ x² -2x -b = 0

Number of solutions depends on :

Discriminant 'D'  = b² -4ac

Here a = 1 , b = -2 , c= -b

D = (-2)² - 4(1)(-b)

  = 4 + 4b

If D > 0 there are two real solutions.

If D = 0 there is only one solution.

If D < 0 there is no solution.

Value of D depends on the value of 'b' .

Linear quadratic equation has two solutions if D > 0.

Graph is attached for the given quadratic equations.

Therefore, number of solutions for the given linear quadratic equation y = x² and y = 2x+ b is equal to 2.

b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.

Learn more about  linear quadratic equation here

brainly.com/question/12788590

#SPJ1

Need Help With This One

Related Questions

Stress, measured in newtons per square meter (N/m^2) is the ratio of force, in newtons (N) to the area, in square meters (m^2) on which that force is acting. Based on the table at left, which object is experiencing the greatest stress?


Object: Object 1, Object 2, Object 3, Object 4

Force (N): 72, 185, 406, 512

Area (m^2): 6.46 * 10^-5, 4.56 * 10^-5, 5.07 * 10^-4, 1.14*10^-3

(^Here is the table^)


A) Object 1

B) Object 2 ***** Correct

C) Object 3

D) Object 4

Answers

The greatest stress is experienced by object 2.

How to determine the object experiencing the greatest stress?

Stress is defined as force divided by area

Given: the table containing values of force and area for objects

Object 1

Stress = 72/6.46×10⁻⁵ =  1114551.084 N/m²

Object 2

Stress = 185/4.56×10⁻⁵ =  4057017.544 N/m²

Object 3

Stress = 406/5.07×10⁻⁴ =  792899.4083 N/m²

Object 4

Stress = 512/1.14×10⁻³ =  449122.807 N/m²

Therefore, object 2 is experiencing the greatest stress

Learn more about stress on:

https://brainly.com/question/929277

#SPJ1

If the line passes through the point (0,4) and has a slope of -1, find the solution to the system.

Answers

Answer:

y = - x + 4

Step-by-step explanation:

Use point-slope form: y-k = m(x-h) for point (h,k) with slope m

now just plug and chug:

y-4 = -1(x-0)

y-4 = -x

y= -x+4

not sure about what you meant by "solution." Just gonna assume that you were looking for the equation.

Write the point-slope form of the equation of the line through the given points:


1) through: (5, 4) and (-2, 5)

2) through: (4, -5) and (0, 2)

3) through: (0, 4) and (2, 1)

Answers

The equation of the line in point slope form is as follows:

y - 4 = - 1 / 7(x - 5)y + 5 = - 7 / 4(x - 4)y - 4 = - 3 / 2(x - 0)

How to represent linear equation in slope intercept form?

Linear equation can be represented in different form such as point slope form, slope intercept form, standard form and general form.

Therefore, equation in point slope form can be represented as follows:

y - y₁ = m(x - x₁)

where

m = slope

Therefore, let's find the point slope form of the lines.

1) through: (5, 4) and (-2, 5)

m = 5 - 4 / -2 - 5

m = 1 /- 7 = - 1 / 7

Therefore,

y - 4 = - 1 / 7(x - 5)

2) through: (4, -5) and (0, 2)

m = 2 + 5 / 0 - 4

m = 7 / -4 = - 7 / 4

Therefore,

y + 5 = - 7 / 4(x - 4)

3) through: (0, 4) and (2, 1)

m = 1 - 4 / 2 - 0

m = - 3/ 2

Therefore,

y - 4 = - 3 / 2(x - 0)

learn more on point slope form here: https://brainly.com/question/11220979

#SPJ1

A square with perimeter p has sides of length
p
4
. The playground at DeVille Elementary School is square-shaped, and has a perimeter of 600 feet.
What is the length of each side of the playground?

Answers

The length of each side of the playground is 150 feet.

Calculating the length of a square-shaped playground

From the question, we are to determine the length of each side of the playground.

From the given information,

The perimeter of a square is given by the formula,

P = 4l

Where P is the perimeter of the square

and l is the length of a side of the square

"The playground at DeVille Elementary School is square-shaped, and has a perimeter of 600 feet."

That is,

P = 600 feet

Now, we will determine the value of l

Substitute the value of P into the equation

P = 4l

600 = 4l

Divide both sides by 4

600/4 = 4l/4

150 = l

Therefore,

l = 150 feet

Hence, the length is 150 feet

Learn more on Calculating the length of a playground here: https://brainly.com/question/2050052

#SPJ1

6. Jung purchased several video games priced at $29.95 each and paid $5.95 for express shipping. His total purchase was $185.65. How many video games did he purchase?​

Answers

Answer:

6 video games

Step-by-step explanation:

We can solve this question with an algebraic equation.

29.95x + 5.95 = 185.65

29.95x + 5.95 - 5.95 = 185.65 - 5.95

29.95x ÷ 29.95 = 179.7 ÷ 29.95

x = 6

If R and S are parallel lines and <1= 4x-3 and <7= 3x+4, find the measure of <2

Answers

If R and S are parallel lines and ∠1= 4x-3 and ∠7= 3x+4, The measure of ∠2 will be 179.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that, R and S are parallel lines and <1= 4x-3 and <7= 3x+4,

From the given figure it is obtained that R and S are parallel lines,

∠1=∠7

4x-3=3x+4

4x-3x=4+3

7x=7

x=1

If the ∠1 and ∠2 are supplementary,

∠1+∠2=180

4x-3+∠2=180

∠2=180-4x+3

Substitute the value of x,

∠2=180-4(1)+3

∠2=179

Thus, if R and S are parallel lines and ∠1= 4x-3 and ∠7= 3x+4, The measure of ∠2 will be 179.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ1

Answer these two related questions please thank you

Answers

Answer:

https://brainly.com/question/5761254?referrer=searchResults

the question is already answerd by Yna9141

here is his text:

The average of the certain set of data can be calculated by dividing the sum of the given numbers/data by their count.

(a) In this item, we are given with: -0.05, 0.09, -0.04, -0.08

Their sum is as follows:  

                S = (-0.0.5) + (0.09) + (-0.04) + (-0.08)

                  S = -0.08

Then, divide the sum by 4.

                  M = -0.08 / 4 = -0.02

b. The answer to this question can be calculated through the equation below,

                    M₂ = (S + F) / 5

Substituting the known values,

                 -0.01 = (-0.08 + F) / 5

the value of F is equal to 0.03.

Answer:

15a: -0.02 15b: 0.03

Step-by-step explanation:

15a.

To find the mean, you need to add the values together and divide by the number of values.

(-0.05+0.09+-0.04+-0.08)/4

Simplify:

(-0.05+0.09-0.04-0.08)/4

(-0.05+0.09-0.12)/4

(0.09-0.05-0.12)/4

(0.04-0.12)/4

-0.08/4

-0.02

15b.

let's say the change for Friday is "x"

insert the numbers and add in -0.08 from earlier:

(-0.08+x)/5=-0.01

rearrange (-0.08+x):

(x-0.08)/5=-0.01

multiply both sides by 5:

x-0.08=-0.05

add 0.08 to both sides:

x=0.03

(3x-8)(2x+1) in simplest form

Answers

3x(2x+1)-8(2x+1)

6x²+3x-16x+16

6x²+13+16

Can someone please help me!!

Answers

Angle x measures 75 degrees. Trapezoids have two sets of congruent angles

Kiefer service company common stock sells for $36. 84 per share and has a market rate of return of 15. 8 percent. The company just paid an annual dividend of $1. 61 per share. What is the dividend growth rate?.

Answers

The dividend growth rate of Kiefer service company is 0.16% . Dividend growth rate can be determined by using the return rate formula.

Dividend growth rate is the annual rate of growth that a particular stock's dividends experience over a specified period of time.

We have given that ,

Common stocks sells or current price = $36.84

Market rate of return (R) = 25.8 %

Annual dividend (D) = $1.61

Rate of return is defined as net gain or loss of। an investments over a specified time period . It is expressed as a percentage of investment initial cost .

Using the formula,

Rate of return = (D1/ current price )+growth rate where,

D1 --> divided of previous year

putting all the values in above formula we get,

15.8 = ( 1.61/36.84) + growth rate

=> growth rate= 15.8 - (1.61/36.84) = 15.756

Hense, the dividend growth rate for Kiefer service company is 0.16%.

To learn more about dividend growth rate, refer:

https://brainly.com/question/14236717

#SPJ4

pls, hurry!!!!!!!

I will give brainliest to the one who finishes the table!

Answers

Answer: 1 is 77 3 is 231 5 is 308 and 7 is 385

Step-by-step explanation:

a 4-sided die is a pyramid whose four faces are labeled with the numbers 1, 2, 3, and 4 (see image). imagine rolling two fair, 4-sided dice and recording the number along the base of each pyramid. (a) what is the sample space for this chance process? (1,1), (1,2), (1,3), (1,4), (2,2), (2,3), (2,4), (3,3), (3,4), (4,4) (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4). (1,1), (2,2), (3,3), (4,4) (1,1), (1,2), (1,3), (1,4) because the dice are fair, each of the outcomes in the sample space are equally likely. what is the probability of each outcome in the sample space? enter a fraction. (b) define event a as getting a sum of 5. p(a)

Answers

The probability of each outcome in the sample space = 1/16

The probability of getting a sum of 5 = 1/4

Step-by-step explanation:

We have been given a four-sided die is a pyramid whose four faces are labeled with the numbers 1, 2, 3 and 4

sample space = {(1,1), (1,2), (1,3), (1,4), (2,1),(2,2), (2,3), (2,4),(3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

Two fair 4-sided dices are rolled and all sixteen possible outcomes are equally likely.

The possible outcomes can be deduced by making combinations of different faces with a particular face.

given that each of the outcomes in the sample space is equally likely. So the probability of each outcome in the sample space is the same.

now we find the probability of each of the outcomes in the sample space

(a) when two dices are rolled, we have n(s) = 4*4=16

the chances of getting the outcome as (1,1) n(a) = 1

the probability of getting the outcome as (1,1) p(a)= n(a)/n(b)

p(a) = 1/16

so the probability of each outcome in the sample space = 1/16

(b) P(A) is the probability of getting 5 as a sum

   P(A) = Total outcomes with 5 as a sum/Total outcomes

  Total outcomes with 5 as sum= 4

  Total outcomes= 16

  P(A)=4/16=1/4

To learn more about sample space:

https://brainly.com/question/19268954

#SPJ4

J(13,-5), K(2, 6), L(-1,-5), M(-4,-2)
J10
L(-3,2

Answers

Answer:

is there a graph for this

Step-by-step explanation:

i need a grapg or to know what they wanted to know

420.9536 Find the digits in the ones place, in the tenths place, and in the thousandths place for the following number.

Answers

Answer:

ones: 0

tenths: 9

thousandths: 3

Step-by-step explanation:

Because 0 is at the beginning of the whole "part" of the number, it is a "one" in place value (confusing right??) for example, in the number 54,743, 3 would be the digit in the ones place.

Because 9 is one decimal place across the example number, it is a tenth - because you would need 10 lots of 0.1 in order to make a whole number.

Because 3 is three decimal places across the example number, it is a thousandth - because you would need 1000 lots of 0.001 to make a whole number.

A good way of remembering these decimal place values is by using the number of zeros after 10, 100, 1,000, 10,000, and so on (one zero is a ten-th, two zeros is a hundred-th, etc, etc.)

What’s the value of a?

Answers

Answer:
A= 5
A= 2x-5

Actual Unemployment Rate = 12%
Cyclical Unemployment Rate = 7%

What is the Natural Unemployment Rate?

Answers

The Natural Unemployment Rate based on the information is 5%.

What is natural rate of unemployment?

The natural rate of unemployment is the lowest unemployment rate when inflation is stable, or the unemployment rate when inflation is not accelerating. The natural rate of unemployment (NAIRU) is the rate of unemployment caused by all factors other than changes in aggregate demand. Potential GDP estimates are based on the long-term natural rate.

The unemployment rate is the proportion of the total labor force that is unemployed but actively looking for work and willing to work. Cyclical unemployment is associated with an industry's business cycle. It is a direct result of a drop in consumer demand, which has resulted in a drop in labor demand. If cyclical unemployment rises, it indicates that the economy is slowing, which is not good.

Cyclical unemployment occurs when labor forces are reduced as a result of business cycles or economic fluctuations. If you are cyclically unemployed, it means that your employer has laid you off to save money during a period of slow business.

In this case, the unemployment will be:

= Actual unemployment rate - Cyclical unemployment rate

= 12% - 7%

= 5%

Learn more about unemployment on:

https://brainly.com/question/305041

#SPJ1

Please help me with my math homework

Answers

Given system has no solution.

The correct answer is an option (D)

In this question, we have been given the graph of system of equations.

The solution of given system is the point of intersection of all lines.

We can observe that the graph of any two lines intersected at points (2, -1), (-2, 3) and (0, 3)

But there is no common point of intersection for given system.

This means, the system has no solution.

Therefore, the given system has no solution.

The correct answer is an option (D)

Learn more about the system here:

https://brainly.com/question/26207592

#SPJ1

What is 1/2 of 17 by estimating each product

Answers

If I’m correct, the answer is 8.5 because you divide 17 by 2 because that is half of 17.

What is the greatest common divisor of x and y?

Answers

The only common factor (different than 1) between x and y is 29, so the greatest common divisor is 29.

How to get the greatest common divisor between x and y?

Here we have two real numbers that are written as a product between their corresponding prime factors.

These numbers are:

x = 2*3*5*7*11*13*17*19*23*29

y = 29*31*37*41*43*47*53*59*61*67

Again, all of these are prime numbers, so the only common divisors between the two numbers are the factors that appear in both numbers.

And we can see that the only common factor between x and y is 29, then the greatest common divisor between x and y is 29.

Learn more about common factors:

https://brainly.com/question/219464

#SPJ1

NEED ANSWER WITHIN 5 MINS! THE BEST ANSWER GETS BRAINLIEST!!!
Use the drawing tools to form the correct answer on the provided graph.
Graph the line that represents the equation y = -2/3x + 1.

Answers

The required graph of the given line y = -(2/3)x + 1 is shown in the attached figure.

The equation of the line is given in the question as:

y = -(2/3)x + 1

First, we have to find the intercepts of the equation y = -(2/3)x + 1

The y-intercept is the value of y when the value of x is appropriately zero.

For x = 0

y = -2/3(0)+1

y = 1

The y-intercept is the point where (0.1)

Determine the x-intercept.

The x-intercept is the value of x when the value of y equals zero.

For y = 0

0 = (-2/3)x + 1

-1 = (-2/3)x

x = 3/2 or 1.5

The y-intercept is the point (1.5,0).

To graph, the line, draw the intercepts and connect the dots as indicated in the image.

As a result, the graph for the line y = -(2/3)x + 1 is provided below.

To learn more about the graph of lines click here :

brainly.com/question/28108550

#SPJ1

The diagonal of a square is x units. What is the area of the square in terms of x?

Answers

The area of the square is (x²/2) square units.

We are given a square. The length of the diagonal of the square is x units. We have to find the area of the square in terms of "x".

Let the side of the square be denoted by the variable "s". We will use the Pythagorean theorem to find the length of the side of the square.

s² + s² = x²

2s² = x²

s² = x²/2

s = √(x²/2)

s = (x/√2)

The area of the square is given by the square of the side length. Let the area of the square be denoted by the variable "A".

A = s²

A = (x/√2)²

A = x²/2

Hence, the area of the square is (x²/2) square units.

To learn more about area, visit :

https://brainly.com/question/27683633

#SPJ1

the number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 15. a random sample of 430 salespeople was taken and the mean number of cars sold annually was found to be 79. find the 97% confidence interval estimate of the population mean.

Answers

At the 97% confidence interval estimate of the population mean is

(80.55, 77.45).

Following are the calculation to the confidence interval :

Given that,

σ = 15

n = 430

X = 79

Here C = 97% = 0.97

⇒ α = 1 -C = 1 - 0.97 = 0.03

∴ Zₙ =  Zₙ/2 = Z₀.₀₁₅ = 2.17

Now,

97% confidence interval,

C.I = X ± σ/√n

     = 79 ± 2.17 × (15/√430)

     = 79 + 2.17 × (15/ 21)                [taking round figure of √430=2.0736441]

     = 80.55

Now taking the negative sign,

        = 79 - 2.17 × (15/√430)

        = 79 - 2.17 × (15/ 21)

        = 77.45

The final answer is (80.55, 77.45).

Learn more about confidence interval:

https://brainly.ph/question/2069320

#SPJ4


Which one is the function here and why

Answers

Answer:B

Step-by-step explanation:no points on be colide with each other on either axis

A chemist has 3 different acidic solutions.
The first solution contains 20% acid, the second contains 35% acid, the third contains 80% acid.
She created 54 liters of a 50% acid mixture, using all 3 solutions. The number of liters of 80% solution used is 2 times the number 35% solution is used
The chemist used_ liters of 20% solution,_35% of solution,_liters of 80% solution.

Answers

The volumes of the 20% solution, 35% solution, and 80% solution used by the chemist are 18 liters, 12 liters, and 24 liters, respectively.

The chemist has three different acidic solutions. The first solution contains 20% acid, the second contains 35% acid, and the third contains 80% acid. She created 54 liters of a 50% acid mixture, using all 3 solutions. The number of liters of 80% solution used is 2 times the number of liters of 35% solution used.

Let the amounts of 20% solution, 35% solution, and 80% solution used be x, y, and z. We already know that z = 2y. We can write equations as given below.

The sum of the volumes must be equal to the final volume.

x + y + z = 54

x + y + 2y = 54

x = 54 - 3y

Now we will write the equation using the concentrations of the acid.

50%*54 = 20%*x + 35%*y + 80%*z

27 = 0.2(54 - 3y) + 0.35y + 0.8(2y)

2700 = 20(54 - 3y) + 35y + 80(2y)

2700 = 1080 - 60y + 35y + 160y

1620 = 135y

y = 1620/135 = 12

z = 2y = 2*12 = 24

x = 54 - 3y = 54 - 36 = 18

To learn more about volumes, visit :

https://brainly.com/question/1578538

#SPJ1

help please i really need this done

Answers

Solving an equation we will see that x = 13, then the measure of interior angle G is 63°.

How to find the measure of angle G?

Here we have the 3 interior angles of a triangle defined with a variable x.

m∠E = (5x + 6)°

m∠F = (4x - 6)°

m∠G = (5x - 2)°

Now, remember that the sum of the interior angles of a triangle is always equal to 180°.

Then we can write:

(5x + 6)° + (4x - 6)° +  (5x - 2)° = 180°

We can solve this for x.

14x - 2 = 180

14x = 180 + 2

x = 182/14 = 13

Now that we know the value of x, we can find the value of angle G.

m∠G = (5x - 2)° = (5*13 - 2)° = (15 - 2)° = 63°

Learn more about interior angles:

https://brainly.com/question/24839702

#SPJ1

What is the value of the expression below when w=4 and x=5

2w+4x

Answers

The value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

According to the question,

We have the following expression:

2w+4x

We have the following values of w and x:

w = 4 and x = 5

Now, in order to find the value of the given expression, we will put these values in the expression.

So, we have this:

2*4+4*5

Now, we will first multiply the integers and then we will add the obtained results together:

8+20

28

Hence, the value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

To know more about value of the expression here

https://brainly.com/question/1106898

#SPJ9

Serenity invested $16,000 in an account paying an interest rate of 4. 5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 9 years?.

Answers

The amount of money that would be in the account after 9 years, giving the interest rate and the amount invested is $23, 777.52

How to find the amount in future?

The amount in the account after 9 years is called the future value of the amount that Serenity invested.

To find this future value, you use the future value formula which is:

= Amount invested x ( 1 + interest rate) ^ number of years

The amount in the account after 9 years would therefore be:

= 16, 000 x ( 1 + 4.5%) ⁹

= $23777.52224662808994653125

= $23, 777.52

Find out more on compounding annually at https://brainly.com/question/25015549

#SPJ1

mia identified a point located at (-5,-8) her directions told her to flip it across the y axis and then across the x axis. mia wrote that the point would now be at (8,5) what was mia's error in her thinking? where would the point be actually located

Answers

Mia's error in her thinking was that she interchanged the coordinate of both the x- and y-axis. Also, the point would actually be located at (5, 8).

What is a reflection across the x-axis?

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

In Geometry, a reflection across the y-axis of a graph is given by this transformation rule (x, y) → (-x, y).

(x, y)                   →               (-x, y)

(-5, -8)                   →            (5, -8)

Next, we would apply another reflection across the x-axis of a graph as follows:

(x, y)                   →               (x, -y)

(5, -8)                   →            (5, 8)

In conclusion, we can logically deduce that Mia was wrong in her calculations.

Read more on reflection here: brainly.com/question/10260342

#SPJ1

Which expreion are equivalent to

90

60
w
−90−60wminu, 90, minu, 60, w?
Chooe 3 anwer:
Chooe 3 anwer:

(Choice A, Checked)
A

30
(
3

2
w
)
−30(32w)minu, 30, left parenthei, 3, plu, 2, w, right parenthei

(Choice B)
B
(

9

6
w
)

10
(−9−6w)⋅10left parenthei, minu, 9, minu, 6, w, right parenthei, dot, 10

(Choice C)
C

3
(
30

20
w
)
−3(30−20w)minu, 3, left parenthei, 30, minu, 20, w, right parenthei

(Choice D)
D
(
6

4
w
)
×
15
(64w)×15left parenthei, 6, plu, 4, w, right parenthei, time, 15

(Choice E)
E

20
(
4. 5

3
w
)
−20(4. 53w)minu, 20, left parenthei, 4, point, 5, plu, 3, w, right parenthei

Answers

The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

We need to find the expressions that are equivalent to given expression

We solve the expression and check,

A) -30(3 + 2w)

-90 - 60w

Yes it is equivalent.

B) (-9 - 6w)10

-90 - 60w

Yes it is equivalent.

C) -3(30 - 20w)

-90 + 60w

No it is not equivalent.

D)(6 + 4w)15

90 + 60w

No it is not equivalent.

E) -20(4.5 + 3w)

-90 - 60w

Yes it is equivalent.

Therefore, The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

To learn more about multiplication refer here

https://brainly.com/question/10873737

#SPJ4

It takes Oliver 2 hours to wash the windows in his house. It takes his sister 3 hours. Based on this information we can conclude that in one hour, Oliver and his sister would get of the windows washed. This means that it would take hours (which is equal to minutes) for them to get all of the windows washed. Submit Answer attempt 1 out of 5 / problem 1 out of max 1

Answers

Answer: 5/6 windows in an hour, 6/5 hours, 72 minutes

Step-by-step explanation: the general formula used is 1/Oliver+1/sister=1/together and you plus in to find the amount of windows in an hour. Once solved, you take the reciprocal of that and that is the hours. Then you solve for the amount of minutes.

Other Questions
Which sentence from the passage expresses an idea that should be included in a summary?A.Prospero was so engrossed in his world of books, that he left the management of his state to his brotherAntonio, in whom he had complete trust.B. Prospero was very popular among his subjects, and to take over the kingdom, Antonio and Alonso hadto plan and plot for several days.OC.The boat reached an island, and Prospero and his daughter landed safely..OD. But one courtier named Gonzalo was most faithful to his master, Prospero. A recipe book shows measurement conversions for ounces to cups. It shows that 4 ounces converts to 0.5 cup and 12 ounces converts to 1.5 cups. Write an equation that shows the proportional relationship between cups and ounces where c represents cups and n represents ounces. c = 0.125n c equals 4 over 0.5 times n n equals 0.5 over 4 times c n = 0.125c which of the following is not true of the hamstring group of muscles?a. All of the hamstrings have origins on the ischial tuberosity, although the biceps femoris has an additional origin. b. All of the hamstrings insert on both the tibia and the fibula.c. All of these are true of the hamstrings. i am trouble finding out what 2(-4) What are some examples of characteristics of life? This long-time civil rights organizer call a meeting in Raleigh, North Carolina, in April 1960, out of which produced the Student Nonviolent Coordinating Committee (SNCC).A)Ella BakerB) John LewisC) Martin Luther King JrD)Stokely Carmichael How does a cell know when to divide, when to duplicate its chromosomes, or when to enter another stage of the cell cycle. Condensed financial data of Cheng Inc. follow. CHENG INC. Comparative Balance Sheets December 31 2017 $80,800 92,800 117,500 28,400 143,000 270,000 (50,000) $682,500 2016 S 48,400 33,000 102,850 26,000 114,000 242,500 (52,000) $514,750 Assets as Accounts receivable Inventory Prepaid expenses Investments Equipment Accumulated depreciation-equipment Total Liabilities and Stockholders' Equit Accounts payable Accrued expenses payable Bonds payable Common stock Retained earnings $112,000 16,500 110,000 220,000 224,000 67,300 17,000 150,000 175,000 105,450 $514,750 Total $682,500 CHENG INC. Income Statement For the Year Ended December 31, 2017 Sales revenue Less: $392,780 Cost of goods sold Operating expenses, excluding $135,460 depreciation Depreciation expense Income tax expense Interest expense Loss on disposal of plant assets 12,410 46,500 27,280 4,730 7,500 233,880 $158,900 Net income Additional information: I. New equipment costing $85,000 was purchased for cash during the year. 2. Old equipment having an original cost of $57,500 was sold for $1,500 cash. 3. Bonds matured and were paid off at face value for cash. 4. A cash dividend of $40,350 was declared and paid during the year. Instructions Prepare a statement of cash flows using the indirect method. Write 375 as the product of prime factors.Give your answer in index form. GD 1 What can be concluded about a line that passes through the points (1.-2) and (4.-2)? Check all that apply. Break-even analysis examines the relationships between which of the following?a. Priceb. Profitc. Costs epinephrine acts as a signal molecule that attaches to proteins. epinephrine acts as a signal molecule that attaches to proteins. nuclear receptor intracellular receptor g-protein-linked receptor ion-channel receptor receptor tyrosine kinase A 1,100 kg car is traveling at 20 m/s as it begins going down a 40 m hill. What is its total mechanical energy?. Hey can someone please explain why you got the answer and how? Thank you so much! when shoppers at costco explore the aisles, often there are employees handing out small servings of various food products for customers to try. this sales promotion tactic is known as TiCl4 + O2What is the predicted product which of the following cannot be determined using only the information in the database? responses the date when a certain movie was purchased the greatest number of times the date when a certain movie was purchased the greatest number of times the number of movies purchased by an individual subscriber for a particular month the number of movies purchased by an individual subscriber for a particular month the total number of cities in which a certain movie was purchased the total number of cities in which a certain movie was purchased the total number of movies purchased in a certain city during a particular month Read the excerpt below."But the most powerful of all arguments, is, that nothing but independence... can keep the peace of the continent and preserve it... from civil wars."Thomas Paine, Common Sense, 1776Based on the excerpt, what does Paine suggest about American independence? A) It will prevent Britain from getting into more wars.B) It will help Britain rule the European continent.C) It cannot win a civil war with the colonies.D) It is the only way to keep peace in the colonies. Which of the following is a true statement about the Compromise of 1808 (an amendment to the South Carolina Constitution)?ResponsesThe compromise gave more power to the Lowcountry in S.C.The compromise decided how slaves would be counted in the population of S.cThe compromise decided if counties in S.C. would be free or allow the practice of slavery.The compromise created a more equal balance of power in S.C. between the Upcountry and the Lowcountry. When ________ is released from a _______ neuron and binds with receptors on the motor endplate, the muscle begins to __________.