25 POINTS!! ANSWER FOR BRAINLIST AND SHOW WORK!!!

25 POINTS!! ANSWER FOR BRAINLIST AND SHOW WORK!!!

Answers

Answer 1

Answer:

See attached "Image 2" for graph

3 points that are in the system

[tex](6,1)\\(8,-2)\\(7,5)[/tex]

3 points that are not in the system:

[tex](0,0)\\(-2,-6)\\(-8,4)[/tex]

Step-by-step explanation:

Start by writing the equation in slope-intercept form so they can be graphed.

[tex]\left \{ {{y+5 < 2x} \atop {3y\geq -2x+6}} \right. \\\\\left \{ {{y < 2x-5} \atop {y\geq -\frac{2}{3} x+2}} \right. \\\\[/tex]

Now, graph just the lines - LIGHTLY- on the coordinate plane. See the first attached image.

Now, you can shade the correct areas. In the first equation y is LESS THAN the function, so you would shade BELOW the line, and draw the line as a dashed line, not a solid line. This is because y is not EQUAL to the function.

In the second equation y is GREATER than or EQUAL to the function, so draw the line as a solid line and you would SHADE above the line.

In a system of inequalities, the correct area to shade is where the two shaded areas overlap. See the attached image 2 to see how that looks.

Some points that are in the system of inequalities are:

[tex](6,1)\\(8,-2)\\(7,5)[/tex]

These points are NOT in the system:

[tex](0,0)\\(-2,-6)\\(-8,4)[/tex]


Related Questions

Find the missing side. Help please

Answers

Answer:

Step-by-step explanation:

add 23+14=37-90= 53

answer=53

Two sides of a parallelogram are 190 feet and 740 feet. The measure of the angle
between these sides is 88°. Find the area of the parallelogram to the nearest square
foot.

Answers

Answer: About 140,514 ft²

Step-by-step explanation:

The area of a parallelogram is base × height. The base is already determined as 740 ft. You can find the height(h) with trigonometry:

[tex]sin(88)=\frac{h}{190}\\ \\h=190sin(88)=189.88425713[/tex]

Now, multiply the values together:

[tex]740*189.88425713=140514.350[/tex]

How do I graph y=3x+2

Answers

Hi there! Answer is in image
Hope this helps :)

given p(a) = 0.90, p(b) = 0.96, p(c) = 0.05 and that events a, b, and c are independent, what is p(a, b, and c).

Answers

The P(a, b and c)  is 0.0432 when P(a) = 0.90, p(b) = 0.96, p(c) = 0.05.

From the given question, we know that

Probability of event 'a' occurring, P(a) = 0.90

Probability of event 'b' occurring, P(b) = 0.96

Probability of event 'c' occurring, P(c) = 0.05

We have been told that these three events are independent.

Thus, we can use the multiplication rule of probability, which states that the probability of three independent events a, b, and, c occurring is equal to the products of the probability of each individual event occurring.

p(a, b and c) = p(a) × p(b) × p(c)

                    = 0.90 × 0.96 × 0.05

                    = 0.0432

Hence, the probability(a, b, and c) is 0.0432.

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What is the equation of the graph below?

Oy=-(x-2)²+3
Oy=(x + 2)²+3
Oy=-(x+3)²+2
Oy=(x-3)²+2

Answers

I believe it would be y=(x+2)^2+3.

The equation of the graph is given by y = ( x + 2 )² + 3

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the equation be represented as A

Now , the value of A is

y = ( x + 2 )² + 3

The given equation is in the standard vertex form of a parabola:

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

By comparing the given equation with the standard vertex form, we can see that:

a = 1, h = -2, and k = 3

Hence , the vertex of the parabola is at the point (-2, 3) and the graph is plotted

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Volume please help due today!

Answers

The new volume of the container will be 120 ft³

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given a container with dimensions 3ft by 4ft by 5ft

Its volume need to be twice.

Volume of container = length*width*height

Original volume = 3*4*5 = 60 ft³

After doubling = 60*2 = 120 ft³

New dimensions are = 4ft by 5ft by 6ft

Hence, The new volume of the container will be 120 ft³ and New dimensions are 4ft by 5ft by 6ft

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URGENT !!! Answer the following questions using the graph.

Describe the y-intercept in this scenario.
Describe the x-intercept in this scenario.
Finish the ordered pairs (2.5, ____ ) and (____,300).

What are the domain and range?

Domain: {h I ___ < h < ____}

Range: {f(h) I ___ < f(h) < ____}

Answers

The x-intercept is (8.75,0) and

The y-intercept is (0,700)

The ordered pairs are (2.5,500) and (5,300).

Given that,

In the picture we have a graph with line.

We have to find the x-intercept and y-intercept of the scenario and the ordered pairs (2.5, ___) and (___ , 300)

We know that,

What is x-intercept and y-intercept?

The x intercept is the location where the line touches the x axis. The y intercept is the location where the line touches the y axis.

So,

The x-intercept is (8.75,0) and

The y-intercept is (0,700)

The ordered pairs are (2.5,500) and (5,300).


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in a city of 246,000 people, there are 34 coffee shops. what is the number of coffee shops per capita? round to 6 decimal places.

Answers

Coffee shops per capita in city is 7235.294118

What is per capita?

The Latin phrase "per capita" means "by head." In statistics, the term "per capita" is sometimes used in place of "per person" to denote the average per person.

Main Body:

total population of city = 246000

Total coffee shops = 34

Per capita shops for population can be calculated by dividing total population by total shops.

calculatiing,

Per capita shops = total population/ total shops

                            = 246000/34

                            = 7235.294118

Hence number of coffee shops per capita is 7235.294118

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. Examine this graph. What are the y-intercept and slope of this line?
*
10 points
Captionless Image

Answers

Hey, so because you didn't include the image this is impossible to get the number values.  But, essentially you'd solve it something like this.

Remember, the Y axis goes up, and its located when you are at X = 0.  

The y intercept is the value of Y, when is 0.  

The slope of a line is referred to as "rise/run"

Basically, you take any given spot.  For example, from x = 0 to x = 2.  The run is 2, because thats how much x value the line covers.  So, in that "run" how much do you go up or go down?  Lets say in those 2 x's that you travelled, how much did the height change?  If you changed by going up 4 units, it would be (rise/run) 4/2 = 2.  The slope would be 2.  That means that for every time x increases by 1, Y goes up 2.

A restaurant owner wants to attract more customers by getting enough ratings to appear on a popular social media site. The owner can generate 10% more business by reaching an additional 100 reviews. He knows that he provides one hundred 50% off coupons for meals, he can get 100 reviews. How much will it cost to increase business by 10% if each coupon is likely to cost $15?

Answers

Answer:

25%

Step-by-step explanation:

cause i did marh

8. What is the value of point x? X -4 -3​

Answers

Answer:

x = -9

Step-by-step explanation:

(x1, y1) = (-4, 3)  &  (x2, y2) = (x, 4)

m = (y2 - y1)/(x2 - x1)

-1/5 = (4 - 3)/(x - (-4) = 1/(x+4)

-(x + 4) = 5

-x - 4 = 5

-x = 5 + 4 = 9

at 99% confidence, how large a sample should be taken to obtain a margin of error of 0.027 for the estimation of a population proportion? assume that past data are not available for developing a planning value for p*. round up to the next whole number.

Answers

2276 large a sample should be taken to obtain a margin of error of 0.027 for the estimation of a population proportion.

Given:

At 99% confidence, how large a sample should be taken to obtain a margin of error of 0.027 for the estimation of a population proportion.

Error e = 0.027

z score at 99%:

z = 2.576.

sample size n = p(1-p)(z/e)^2

= 0.5(1-0.5)(2.576/0.027)^2

= 0.5*0.5*9102.573

= 0.25*9102.573

= 2275.64

≈ 2276

Therefore 2276 large a sample should be taken to obtain a margin of error of 0.027 for the estimation of a population proportion.

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one of euler's conjectures was disproved in the 1960s by three american mathematicians when they showed that there is a positive integer such that find the value of .

Answers

It quickly becomes apparent that 174 is much too large, so n must be 144.The value of the n is 144.

Taking the given equation modulo 2,3, and 5, respectively, we have

n⁵≡(mod 2)

n⁵≡(mod 3)

n⁵≡( mod 5)

By either Fermat's Little Theorem (FLT) or inspection, we get

n≡(mod 2)

n≡(mod 3)

n≡( mod 5)

By either the Chinese Remainder Theorem (CRT) or inspection, we get n≡ 24 ( mod 30)

It is clear that n>133, so the possible values for n are 144,174,204,...Note that

n⁵ = 133⁵ + 110⁵ + 84⁵ + 27⁵

n⁵ < 133⁵ + 110⁵ +( 84 + 27)⁵

n⁵ =133⁵ + 110⁵ + 111⁵

n⁵ < 3.133⁵

From which (n/133)⁵ < 3

If n>= 174 then,

(n/133)⁵ > 1.3⁵

(n/133)⁵ = 3

which arrives at a contradiction. Therefore, we conclude that n=144

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Determine the distance between each set of ordered pairs
(6 7/8,2) and (-3,2)

Answers

Answer:

Determine the distance between each set of ordered pairs

(6 7/8,2) and (-3,2)

Step-by-step explanation:

Well if you do delta y over delta x you do -2 - 2 over 3 - 67/8 which will be -4 over -5.375 which will equal 32 over 43 which is you M you b is one point (your choice) then y = mx + b so 2 = 32/43(-3) + b 2 = -96/43 + b then add -96/43 to both sides and you'll get -10/43 = b so y = 32/43x + -10/43

equation - y = 32/43x + -10/43

I need help. I was absent for 2 weeks, and I have no idea how to do this.

Answers

a)  no solution

b) only one solution

c) only one solution

d) infinite many solution.

e)  only one solution

f) no solution

g) infinite many solution.

h)  infinite many solution.

i)  no solution

j) only one solution

k) infinite many solution.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We know depending upon the types of lines there are different type of solution

if there are two equations

[tex]a_1 x+ b_1 y+ c_1= 0[/tex] and [tex]a_2 x+ b_2 y+ c_2= 0[/tex]

For Intersecting Lines

[tex]a_1/a_2[/tex] ≠ [tex]b_1/b_2[/tex]

and, have only one solution

For parallel lines:

[tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] ≠ [tex]c_1/c_2[/tex]

and, have no solution

For co- incident line

[tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] = [tex]c_1/c_2[/tex]

and, have infinite many solution.

a) y= -5x + 4  --> 5x + y = 4

5x+y= -3

So, [tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] ≠ [tex]c_1/c_2[/tex]

and, have no solution

b) y=3/4 x+5

y= 4/3 x + 5

so, [tex]a_1/a_2[/tex] ≠ [tex]b_1/b_2[/tex]

and, have only one solution

c) y= -3/4x+5

y=3/4x+5

[tex]a_1/a_2[/tex] ≠ [tex]b_1/b_2[/tex]

and, have only one solution

d) y= 3/4 x + 5

y= 5+ 3/4x

So, [tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] = [tex]c_1/c_2[/tex]

and, have infinite many solution.

e) y= 3/4x +5

y=  x + 2

So, [tex]a_1/a_2[/tex] ≠ [tex]b_1/b_2[/tex]

and, have only one solution

f) y= 3/4x + 5

y= 3/4x + 2

So, [tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] ≠ [tex]c_1/c_2[/tex]

and, have no solution

g) 6x -y = 5

-6x + y= -5

So, [tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] = [tex]c_1/c_2[/tex]

and, have infinite many solution.

h) 2x- y +5 =0

2x- y+ 5 =0

So, [tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] = [tex]c_1/c_2[/tex]

and, have infinite many solution.

i) 4x- y+ 5 =0

4x- y +3 = 0

So, [tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] ≠ [tex]c_1/c_2[/tex]

and, have no solution

j) 3x- y +5 = 0

2x -y +5 =0

So, [tex]a_1/a_2[/tex] ≠ [tex]b_1/b_2[/tex]

and, have only one solution

k) 2x+ y -1 = 0

2x + y- 1= 0

So, [tex]a_1/a_2[/tex] = [tex]b_1/b_2[/tex] = [tex]c_1/c_2[/tex]

and, have infinite many solution.

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Evaluate. 7^4 Responses 28 28 343 343 2401 2401 16,384

Answers

The exponential number 7⁴ we get expression as 2401.

Given that,

The exponential number is 7⁴.

We have to find the expression.

A number's exponent tells us how many times it has been multiplied by itself.

Exponent-related issues are resolved utilising exponentiation rules or exponentiation attributes.

How many times we must multiply the reciprocal of the base is indicated by a negative exponent is the exponential with negative symbol

A fractional exponent is one where the exponent of a number is a fraction.

Take the exponential number.

7⁴

7×7×7×7

2401

Therefore, The exponential number 7⁴ we get expression as 2401.

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Determining if the inverse is a function

Answers

Answer:

I'm not sure, but it could be "inverse"

Step-by-step explanation:

What is the sale price of the oil change after the discount

Answers

The sale price of the oil change after the discount can be found to be $25.50.

How to find the sale price?

When given a discount, the selling price of an item is found by the formula:

= Price of item before discount - Discount

The discount on the oil change, given the price of the oil change and the coupon is:

= Price of oil change x Coupon rate

= 30 x 15%

= $4.50

The sale price after the oil change is:

= Price of oil change before discount - discount

= 30 - 4.50

= $25. 50

The first part of the question is:

An oil change at city auto is regularly $30. Mr Allen has a coupon for 15% off.

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Please help me please

Answers

Answer:

m<T = 60°

m<U = 60°

TS = 13

SU = 13

Step-by-step explanation:

Triangle TSU is an equilateral triangle.

All interior angles has equal measures and each = 60° since the sum of interior angles in a triangle is equal to 180 and this divided by 3 = 60

all side lengths are also equal to one another, TU is given as 13 cm so the length of TS and SU is also = 13

Find 7 5/12−(−3 3/4) . Write your answer as a mixed number in simplest form.

Answers

The simplified expression is 11 (1/6).

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The given expression is 7 (5/12) - (-3 (3/4)).

Simplify the expression as follows:

7 (5/12) - (-3 (3/4))

= 89/12 +15/4

= (89+45)/12

= 134/12

= 11 (1/6)

Hence, the simplified expression is 11 (1/6).

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DEFG has been dilated to D'EF'G'. Use a pair of corresponding sides to determine the scale factor.
a 2/1=2
b 3/2
c1/2
d2/3

Answers

The scale factor for a a pair of corresponding sides will be;

⇒ 3 / 2

What is Proportional?

The equality between two ratio is called Proportional.

Given that;

DEFG has been dilated to D'EF'G'.

Now,

Let the coordinates of DEFG are for side DG are;

D = (- 6, 3)

G = (- 3, 3)

And, The coordinates of D'E'F'G' are for side D'G' are;

D' = (- 4, 2)

G' = (- 2, 2)

So, The length of side DG is;

DG = √ (- 3 - (-6))² + (3 - 3)²

     = √ 3²

     = 3

And, The length of side D'G' is;

D'G' = √ (- 2 - (-4))² + (2 - 2)²

     = √ 2²

     = 2

Thus, The scale factor for a a pair of corresponding sides will be;

⇒ DG / D'G' = 3 / 2

Therefore, The scale factor for a a pair of corresponding sides will be;

⇒ 3 / 2

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HELP MEEE PLEASE TYYYYYY

Answers

Answer:

45mi/h

Step-by-step explanation:

4 to 8 = 4 hours

v = space / time

v = 180/4 = 45 mi/h

suppose 1,608 of 2,400 registered voters sampled said they planned to vote for the republican candidate for president. using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest 10th of a percent)?

Answers

Using the concepts of confidence interval, we got that is he interval estimate for the population proportion if we suppose 1,608 of 2,400 registered voters sampled said they planned to vote for the republican candidate for president.

We know that population proportion is given by the fraction of number of positive results to the total number of results

Therefore, Population Control(P)=1608/2400

                                                =>P   =0.67

Now, we are given that confidence interval is 0.95 degree or 95%

For 95%,confidence interval is given by =P±√[P×(1-P)]/n

where n is the total number of registered voters, and P is the population control.

confidence interval=0.67±√[0.67×(1-0.67)]/2400

                               =0.67±√(0.67×0.33)/2400

                                =0.67±√0.2211/2400

                                =0.67±(0.47/48.98)

                                =0.67±0.0095

                                 =0.660 and 0.679

Hence, if we suppose 1,608 of 2,400 registered voters sampled said they planned to vote for the republican candidate for president. using the 0.95 degree of confidence,  the interval estimate for the population proportion  is (0.660,0.679)

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Which is the graph of f(x) = x² + 4 and the function g, a reflection of f(x) across the x-axis?

Answers

The reflection of function f(x) across the x-axis is [tex]-x^{2} -4[/tex].

It is given to us that the function is -

[tex]f(x)=x^{2} +4[/tex] --- (1)

and a function g

We have to find out the reflection of f(x) across the x-axis.

A function can be defined as an expression that assigns the value of each element of a given set to the another specific element of another given set.

To find out the reflection of f(x) across the x-axis, we have to take -f(x) instead of f(x).

Now,

[tex]-f(x)=-(x^{2} +4)\\= > -f(x)=-x^{2} -4[/tex]

Thus, the reflection of function f(x) across the x-axis is [tex]-x^{2} -4[/tex].

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Use a quadratic equation to find two real numbers with a sum of 2 and a product of −24. Write the answers in the decreasing order of their values.

_____ and ______

Answers

The two numbers whose sum is 2 and product is -24 are 6 and -4

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x

a[tex]x^{2}[/tex]+bx+c=0

with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Let the two numbers be x and y

so that

x + y = 2 ----------------1

xy = -24 -----------------2

from equation 1 make x the subject of the equation, so that it becomes

x = 2 - y ---------------3

substitute x in equation 3 in equation 2

y(2-y) = - 24

multiply out the bracket

2y - [tex]y^{2}[/tex] = -24

taking all terms to one side of the equation, it becomes

[tex]y^{2}[/tex] -2y -24 = 0

factorizing the equation

[tex]y^{2}[/tex] -6y + 4y - 24 = 0

y(y - 6) +4(y - 6) = 0

taking the terms outside bracket and putting them in a new bracket we have

(y + 4) (y - 6) = 0

so y + 4 = 0 or y - 6  = 0

y = -4 or y = 6

using y = -4 and substituting in equation 3

x = 2 - - 4

x = 6

In conclusion the two numbers are 6 and -4

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solve for y
18-5x= -9y

Answers

Answer:

y= [tex]\frac{5}{9}[/tex]x - 2

Step-by-step explanation:

You want to get y alone so divide both sides by -9 to get: y = [tex]\frac{5}{9}[/tex]x- 2

this is because 2 negatives (-5x and -9) make a positive

I will love some help so if you can help that will be wonderful the question is Given the equation k over 34.2 equals 8.7, determine the value of k.

25.5
297.54
3.93
42.9

Answers

Answer:

k=297.54

Step-by-step explanation:

i can't really explain it

The value of k that satisfies the equation k/34.2 = 8.7 is approximately 297.54. So, correct option is B.

To determine the value of k in the equation k/34.2 = 8.7, we can solve for k by isolating it on one side of the equation.

We can start by multiplying both sides of the equation by 34.2 to eliminate the denominator:

k/34.2 * 34.2 = 8.7 * 34.2

This simplifies to:

k = 8.7 * 34.2

Evaluating the right side of the equation:

k ≈ 297.54

The correct option from the given choices is 297.54. So, correct option is B.

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The tiger at the zoo ate 133 pounds of food in
7 days Find the average change in the zoo's
tiger food supply each day.

Answers

Answer:

133/7 = 19

Step-by-step explanation:

"Find the average change in the zoo's tiger food supply each day."

And what does that have to do with anything? It's not like there is a change in diet that we can then easily calculate using derivatives.

A piont is two dimensional ?

Answers

Answer:

False.

Step-by-step explanation:

A point is a zero-dimensional object as it has no length, width or height. It has no size.

And it would be great if you can spell "point" correctly.

A point is not two dimensional, so this is false.

Simplify and Explain This Equation

-8-3(9-2x)+9x

Answers

-8-27+6x+9x
First you distribute the -3 to the 9 and -2x in the parentheses

-35+15x
Then you simplify by adding the -8 to the -27 and the 6x to the 9x

-7+3x
Finally, if you want to simplify it further you can divide both sides by 5
Other Questions
Which of the following could make it difficult for you to believe that your needs are as important as the needs of others:A. You have developed a lot of self-respect. B. You choose your own behavior. C. You are an assertive person. D. You are often around aggressive people. bill was a very aggressive and violent youth. he often got into fistfights with the other boys and was even charged with assault when he was in his mid-twenties. bill is now 65 years old and it takes a lot to make him angry. why is this the case? please choose the correct answer from the following choices, and then select the submit answer button. answer choices bill's levels of the hormone melatonin have increased. bill's levels of the hormone testosterone have decreased. bill's levels of the hormone melatonin have decreased. bill's levels of the hormone testosterone have increased. According to research, it is highly likely that members of the chicago cubs baseball team will have more positive feelings toward other chicago cubs players and more negative feelings toward chicago white sox players. This example reflects the concept of _____ within the field of social psychology. as dna replication continues and the replication bubble expands, the parental double helix is unwound and separated into its two component strands. this unwinding and separating of the dna requires three different types of proteins: helicase, topoisomerase, and single-strand binding proteins. it Question 3 Sandra draws a graph representing the relationship between time and distance on her morning run. She wants to show her coach that her rate in minutes per mile was the same for the entire run. Sandra chose two points on the line and drew vertical line segments from the points to the x-axis. How can she use these segments to prove that her speed was constant? Explain your reasoning. The force of attraction, F of a body varies directly as its mass (m) and inversely as the square of the distance (d) from the body. When m=8kg and d=5meters, F=100 Newtons. Find F when m=2 kilograms and d=15 meters. Im leaning towards C, but not sure. using examples, explain why configuration management is important when a team of people are developing a software product. a small company has developed a specialized product that it configures specially for each customer. new customers usually have specific requirements to be incorporated into their system, and they pay for these to be developed. the company has an opportunity to bid for a new contract, which would more than double its customer base. the new customer also wishes to have some involvement in the configuration of the system. explain why, in these circumstances, it might be a good idea for the company owning the software to make it open source which of the following would not appear in a closing entry?a. Salary Expenseb. Interest Incomec. Accumulated Depreciationd. Retained Earnings Which of the following refers to a group of people from diverse areas within an organization who work together to focus exclusively on the development of a new product?A. Brand managerB.Product category managerC.Market managerD.Venture teamE.Product management millie's flowers company in tulips, ohio, uses an e-commerce software program on its website to allow customers to enter their own orders for flowers that are delivered by the end of the next business day. millie's flowers follows a(n) model. how do film and reference to film stars, such as John Wayne, help create and maintain this conflict within Alexie? What is the first step in checking for arithmetic errors when two column totals are not in balance?. Complete the following statement: when a net torque is applied to a rigid object, it always produces a. For f(x) = 7x 13, find f(x) when x = 1. How did the great depression start? Consider how much it will cost to complete your education and how you will pay for it. Taking into consideration the costs (tuition, fees, books, and housing expenses) for the type of school you want to attend, explain how you plan to pay for your education. Are there AP or dual enrollment courses you can take? Will your parents help you? Are there scholarships you can apply for? Would you be willing to take out a student loan? How does the goverment implement law ? help! what does this mean? Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $47. He also incurred a one-time cost of$840 to purchase tools and a small shed to use as his workshop. He sells bikes for $75 each. Use this information for the exercises.WRITE Write revenue and cost functions R(x) and C(x) for Aidan's situation, where x is the number of bicycles. How do you include the one-timecost in C(x)?WRITE Write a profit function P(x) such that P(x) = R(x)-C(x). In words, what does P(x) represent?PERSEVERE List key features for the profit function P(x). Then use the key features to sketch a graph, on a separate sheet of paper, that showsthe profit P(x) as a function of x bicycles.ANALYZE Which key feature of the graph represents Aidan's break-even point (profit = 0)? Explain how to use your graph to find the mostaccurate value for this feature.