What is the midpoint of the segment show below

What Is The Midpoint Of The Segment Show Below

Answers

Answer 1

Answer:

Your answer is B. (3, 5/2)

Step-by-step explanation:

The formula to find the midpoint of a segment is

(x1 + x2) / 2 to find the x value

and (y1 + y2) / 2 to find the y value of the midpoint.

To find the midpoint of the segment in the photo, you would do...

-1 + 3 divided by 2, giving you 3 for your x

and then 2+3 divided by 2, giving you 5/2 for your y.

Hope this helps!

Answer 2

Answer:

B

Step-by-step explanation:

the midpoint is based on the average of the two pair of point X1 and X2 as Y1 and Y1 divided by 2, each one. So, if we settle X1 and Y1 as (-1,2) and X2 and Y1 as (7,3)

(X1 + X2)/2 = (-1+7)/2 = 6/2= 3

(Y1 + Y2)/2 = (2+3)/2 = 5/2

so, we get the Answer B (3 , 5/2)


Related Questions

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.

What is the survey’s margin of error?

Answers

As far as I can tell, the definition of margin of error involves more than you're given in this exercise (for example, you should know how many people were surveyed, the standard deviation, etc etc).

So, I assume that you're looking for a "simplified" interpretation of the margin of error: the estimate are around 80%, with a margin of 4% up or down.

So, you would be claiming that 80% of people is satisfied, with a margin of uncertainty of 4% (so it can be a minimum of 80-4=76 and a maximum of 80+4=84)

Express the quotient in simplest form

Answers

i believe the answer is a

Answer:

answer : D

Step-by-step explanation:

Patti went swimming for 1hour 15minutes on monday. On Tuesday she swam twice as long as she swam on Monday. On Wednesday she swam 50minutes less than the time she swam on Tuesday. How much time did she spend swimming during that three day period

Answers

Final answer:

Patti swam a total of 5 hours and 25 minutes over the three days—1 hour and 15 minutes on Monday, 2 hours and 30 minutes on Tuesday, and 1 hour and 40 minutes on Wednesday.

Explanation:

Patti went swimming for 1 hour and 15 minutes on Monday. To find out how long she swam over the three days, we need to calculate the time for each day and then sum them up.

On Tuesday, she swam twice as long as she did on Monday, which means she swam 2 * (1 hour and 15 minutes) = 2 hours and 30 minutes.

On Wednesday, she swam 50 minutes less than the time she swam on Tuesday, which means she swam (2 hours and 30 minutes) - 50 minutes = 1 hour and 40 minutes.

To find the total time Patti spent swimming during the three days, we add up Monday's, Tuesday's, and Wednesday's swimming times:

Monday: 1 hour and 15 minutesTuesday: 2 hours and 30 minutesWednesday: 1 hour and 40 minutes

The total is 5 hours and 25 minutes.

Janice swims 450 meters in 5 minutes. Find her swimming speed in meters per minute

Answers

90 speed in meters

:explenation step by step

1. 5× =450

2. 450÷5=90

3.5×90=450

Final answer:

Janice's swimming speed is calculated by dividing the distance she swims, 450 meters, by the time it takes, 5 minutes, resulting in a speed of 90 meters per minute.

Explanation:

To calculate Janice's swimming speed in meters per minute, you divide the distance she swims by the time it takes her to swim that distance. Janice swims 450 meters in 5 minutes.

Swimming speed = Distance ÷ Time.

Swimming speed = 450 meters ÷ 5 minutes = 90 meters per minute.

Therefore, Janice's swimming speed is 90 meters per minute.

which answer choice best describes f(x)=x-12

Answers

The relationship does not show a direct linear variation best describes f(x)=x−12. Option D is the correct choice.

A function is a specific mathematical relationship with a predefined domain and range, where each value in the domain corresponds to one value in the range.

In the given function, f(x) = x - 12, the slope of the line represents how much 'y' increases as 'x' increases.

A constant slope means that the increase in 'y' is uniform across the entire line. In this case, the slope (m) is 1.

However, this function doesn't exhibit a direct linear variation, as it also has a y-intercept of -12.

The presence of the y-intercept at -12 indicates that the line does not pass through the origin, and therefore, it doesn't show a direct linear variation.

Hence, the linear function f(x) = x - 12 does not display a direct linear variation, making option (D) the correct choice.

For similar question on direct linear variatio

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Question:-

Which answer choice best describes f(x)=x−12?

A. The relationship shows a direct linear variation with a constant of variation of −12 .

B. The relationship shows a direct linear variation with a constant of variation of 1.

C. The relationship shows a direct linear variation with a constant of variation of 12.

D. The relationship does not show a direct linear variation

The area of a rectangular patio is 5 5/8 square yards, and its length is 1 1/2. What is the patio width, in yards

Answers

The width is 3 3/4. you just have to divide 5 5/8 by 1 1/2.

let's firstly convert those mixed fractions to improper fractions and then proceed.

[tex]\bf \stackrel{mixed}{5\frac{5}{8}}\implies \cfrac{5\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\ \cline{1-1} L=\frac{3}{2}\\ A=\frac{45}{8} \end{cases}\implies \cfrac{45}{8}=\cfrac{3}{2}w\implies \cfrac{45}{8}=\cfrac{3w}{2}\implies 90=24w \\\\\\ \cfrac{90}{24}=w\implies \cfrac{15}{4}=w\implies 3\frac{3}{4}=w[/tex]

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, how long will it take them to mow the lawn?
a.15.0 minutes
b.22.5 minutes
c.30.0 minutes
d.120.0 minutes

Answers

Answer:

  c.  30.0 minutes

Step-by-step explanation:

Max mows 1/45 lawns per minute.

Jan takes twice as long (90 minutes per lawn), so mows 1/90 lawns per minute.

Working together, they mow ...

  (1/45 + 1/90) lawns per minute = (2/90 +1/90) lawn/min = 3/90 lawn/min

  = 1/30 lawn/min

Then for one lawn, it takes ...

  (1 lawn)/(1/30 lawn/min) = 30 min

Answer:

A

Step-by-step explanation:

30 min




Three ships are at sea: the Admiral, the Barstow, and the Cauldrew. The crew on the Admiral can see both the Barstow and the Cauldrew. They measure the angle between the line of sight to the Barstow and the line of sight to the Cauldrew as 31°. They radio the Barstow and by comparing known landmarks, find that the distance between the Admiral and the Barstow is 402 meters. The Barstow reports that an angle of 70° is found between their line of sight to the Admiral and their line of sight to the Cauldrew. To the nearest meter, what is the distance between the Barstow and the Cauldrew?

38 meters

211 meters

220 meters

133 meters

Answers

Answer:

I am very disappointed in you. I give you extra credit to try and help your grade and you cheat? Please come and see me tomorrow about what you are doing.

Step-by-step explanation:

Answer:

211 meters

Step-by-step explanation:

Let A represents the Admiral, B represents the Barstow and C represents the Cauldrew.

According to the question,

AB = 402,

∠B = 70°,

∠A = 31°,

∵ ∠B + ∠A + ∠C = 180° ⇒ 70° + 31° + ∠C = 180° ⇒ ∠C = 180° - 101° = 79°

By the law of sine,

[tex]\frac{sin C}{AB}=\frac{sin A}{ BC}[/tex]

By substituting the values,

[tex]\frac{sin 79^{\circ}}{402}=\frac{sin 31^{\circ}}{BC}[/tex]

By cross multiplication,

[tex]BC\times sin 79^{\circ} = 402\times sin 31^{\circ}[/tex]

[tex]\implies BC = \frac{ 402\times sin 31^{\circ}}{sin 79^{\circ}}=210.92050995\approx 211[/tex]

Hence, the distance between the Barstow and the Cauldrew is 211 meters ( approx )

Second option is correct.

What should be done to solve the following equation?

d - 8 = 9

Subtract 8 from both sides of the equation.
Add 8 to both sides of the equation.
Add 9 to both sides of the equation.
Subtract 9 from both sides of the equation.

Answers

To solve this equation, you need to isolate/get the variable (d) by itself, to do so, you should add 8 on both sides

d - 8 = 9

d - 8 + 8 = 9 + 8

d = 17       The 2nd option is your answer

What is the sum of the first 100 terms of the sequence 4,9,14,19, ...?

Answers

Answer:

25150

Step-by-step explanation:

First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it.  (a geometric sequence would be a multiplication, not an addition)

So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.

To do this without spending hours writing them down, we can use this formula:

[tex]S = \frac{n}{2} * (2a + (n - 1) * d)[/tex]

If we plug in our values, we have:

[tex]S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)[/tex]

S = 50 * (8 + 495) = 50 * 503 = 25150

Answer:

Sum of 100 terms = 25150

Step-by-step explanation:

Formula:-

Sum of n terms of an AP

Sₙ = n/2[2a + (n - 1)d]

Where n - number of terms

a - first term and d - common difference

To find the sum of 100 terms

here, n = 100, a = 4 and d = 5

S₁₀₀ =  n/2[2a + (n - 1)d]

       = 100/2[2*4 + (100 - 1)5]

       = 50[8 + 99*5]

       = 25150


Solve for x.



A. 12
B. 11
C. 10
D. 9

Answers

Answer:

  C.  10

Step-by-step explanation:

The values on the left are proportional to the values on the right. You can write the ratios different ways, but the one I chose is ...

  6/15 = x/25

  6·25/15 = x = 150/15 = 10

The value of x is 10.

Katie has a job planting shrubs beside the highway. She needs to plant 500 shrubs in a week. So far, She has planted this many: Monday 84 Tuesday 92 Wednesday 87 Thursday 104 How many shrubs does Katie need to plant on Friday?

Answers

ANSWER: Katie Must Plant 133 Shrubs On Friday.

First, We Know That Katie Needs To Plant 500 Shrubs In A Week. So Then, We Add Up 104+87+92+84 And When We Add Those Numbers Up, We Get How Many Shrubs She Has Planted On Monday Tuesday Wednesday And Thursday. To Find Out How Many Plants She Needs To Plant On Friday, Subtract 367 From 500 And You Get 133.

If 5 + x = 12, and you add -5 to the left side of the equation, what should you add to the right side of the equation?

Answers

Answer: You must subtract 5 from 12.

Step-by-step explanation:

When solving a one step equation such as this one where you are trying to find x, you must subtract 5 from both sides of the equation. You have to subtract because there is a plus sign: 5 + x = 12

If instead there was a minus sign, you would ADD 5 to both sides. Since it is a plus sign, subtract 5 from 5 and from 12. You then get 7. X=7.

Hope this helped :)

Answer: -5

Step-by-step explanation:

5 + x = 12

-5        -5

________

x = 7

According to the general equation for conditional probability, if (image attached)

A. 2/3
B. 1/3
C. 1/6
D/ 5/6

Answers

Answer:

Option B

[tex]P(A|B') = \frac{1}{3}[/tex]

Step-by-step explanation:

If B 'is the complement of B then [tex]P(B') = P({\displaystyle {\overline {B}}})=1-P(B) = \frac{2}{3}[/tex]

In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:

[tex]P(A|B') = \frac{P(A\ and\ B)}{P(B')}[/tex]

Then if [tex]P(A\ and\ B) = \frac{2}{9}[/tex] and [tex]P(B') = \frac{2}{3}[/tex]

[tex]P(A|B') = \frac{\frac{2}{9}}{\frac{2}{3}}\\\\P(A|B') = \frac{1}{3}[/tex]

Answer:

The correct answer option is B. 1/3.

Step-by-step explanation:

We are given that P (A ∩ B') = 2/9 and P (B') = 1/3 and we are to find P (A | B').

We also know that the formula of conditional probability is given by:

P (A | B') = P (A ∩ B') / P (B)

So substituting the given values in the formula above to get the value of P (A | B'):

P (A | B') = [tex] \frac { \frac { 2 } { 9 } } { \frac { 1 } { 3 } } = \frac { 2 } { 9 } \times \frac { 3 } { 1 } [/tex] = 1/3

(4x-5x)(x-3) use foil to multiply the binomial

Answers

Answer:

-x^2+3x

Step-by-step explanation:

{PLEASE HELP ASAP}
I dont know how to do these very well at all, please help me!

Answers

the answer for this question is all are not polynomials

Answer:

The first, second, and last ones are polynomials, the others are not.

Step-by-step explanation:

Can someone please explain this problem step by step? Thank you sooooooooooooo much!

Answers

Explanation:

Use the Pythagorean identity, cancel common factors, and divide numerator and denominator by cos(x). Equivalently, multiply numerator and denominator by sec(x).

[tex]\dfrac{\sin^2{x}+2\cos{x}-1}{\sin^2{x}+3\cos{x}-3}=\dfrac{1-\cos^2{x}+2\cos{x}-1}{1-\cos^2{x}+3\cos{x}-3} \qquad\text{replace $\sin^2$ with $1-\cos^2$}\\\\=\dfrac{\cos{x}(2-\cos{x})}{(\cos{x}-1)(2-\cos{x})}=\dfrac{\cos{x}}{\cos{x}-1}=\dfrac{1}{\dfrac{\cos{x}}{\cos{x}}-\dfrac{1}{\cos{x}}}=\dfrac{1}{1-\sec{x}}[/tex]

If a=22.3 and B=47°18’ find c (picture provided)

Answers

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

[tex]\frac{a}{sin(A)} = \frac{c}{sin(C)}[/tex]

And we'll isolate a to get:

[tex]c = \frac{sin(C) * a}{sin(A)}[/tex]

We first need to find A, which is easy.  The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

[tex]c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88[/tex]

So, let's round it to 32.9 to match the answer number D.

Answer:

D, 32.9

Step-by-step explanation:

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.

What is the survey’s margin of error?

Answers

Answer:

4%

Step-by-step explanation:

Answer:

+/- 4%.

Step-by-step explanation:

That would be +/- (84-76)/2

= +/- 8/2

= +/-4%.

Three cities, A, B, and C, are located so that city A is due east of city B. If city C is located 35° west of north from city B and is 100 miles from city A and 70 miles from city B, how far is city A from city B?

Answers

Answer:

41.776756 miles

Step-by-step explanation:

Using trigonometry and the Law of Cosines, we find that the distance between city A and city B is approximately 122.47 miles.

The question involves using trigonometry to solve for distances between points in a coordinate system, which represents cities in this context. To determine how far city A is from city B given that city C is 35° west of north from city B and specific distances from cities A and B, we can set up a right-angled triangle between the cities.

First, we calculate the angle formed at city B using the information provided about city C's angle. Since city C is 35° west of north and city A is due east of city B, the angle between cities A, B, and C is 180° - 35° = 145°.

We now have a triangle with cities A, B, and C forming the vertices and the following information: side BC (70 miles), side CA (100 miles), and angle BAC (145°). We can solve for the distance between city A and B using the Law of Cosines:

c² = a² + b² - 2ab×cos(C), where c is the side opposite the angle C and a and b are the other two sides.

The distance between cities A and B (side c) is therefore calculated as:

c = √(70² + 100² - 2×70×100×cos(145°))

After calculation, we find that the distance between city A and city B is approximately 122.47 miles.

if k=[-4 | 2, 6 | -3] and m=[2 | 8, -2 | 5] what is x when 2x -k = m

Answers

Answer:

  x = [-1 | 5, 2 | 1]

Step-by-step explanation:

We assume your notation is used to describe 2×2 matrices.

Solve for x:

  2x -k = m

  2x = m + k . . . . add k

  x = (1/2)(m +k) . . . . multiply by 1/2

Fill in the values:

  x = 1/2[2+(-4) | 8 +2, -2+6 | 5+(-3)]

  x = [-1 | 5, 2 | 1]

The correct answer is B, or the graph attached.

Just got it right on edge 2020, hope this helps!! :)

Staci has seven more cats than Taylor. Write an expression that illustrates how many cats Staci has.Use x to represents the number of cats that Taylor has.

Answers

Answer: x+7

Step-by-step explanation:

Taylor has x number of cats. Because we do not know how many cats they have combined, or the number of cats Taylor has, we can only simplify it to x+7. Therefore, x+7= the number of Staci's cats. Hope that helps! :)

QUICK!

what is the probability that George will draw a blue marble from a container that contains 6 red, 4 blue, 3 yellow and 5 green marbles?

1/3

1/6

2/9

5/18

Answers

Answer is 2/9.

You have 18 marbles in total. You also have 4 blue marbles. 4/18 divided by 2 is 2/9. Therefore 2/9 is the correct answer.

Your answer is C) 2/9

Hope this helps chu fellow kpop fan XD

☆ Dont forget to mark brainliest ☆

what is the slope,y intercept ,are the lines the same intersecting ,or parallel? What are the number of solutions? Classification ,Consistent-dependent,Consistent-independent,or Inconsistent? use y = mx + b ,m = slope ,b = y-int for y = 2x + 3, 2x - y = 5 and 3x - y = 5 ,2x + y = -3 and y = x + 4 ,y = x + 4. Ive tried posting this question a few times but cannot get the right wording plz help me


Answers

Answer:

For equation:  y = 2x + 3 , 2x - y = 5 There is no solution to this system of equations.For equation: y = 2x + 3 ,  2x - y = 5 There is one solution to the system of equations.For equation: y  = x + 4 , y  = x + 4 There are infinite solutions to the system.

Step-by-step explanation:

The equation of straight line is written as y = m x + c where 'm' is slope. y - intercept of line is value which intersect the point on y-axis.To find y -intercept , put x = 0 in equation.If slope of two lines are equal then lines are parallel.If the lines are not parallel, they will always intersect

For equation:  y = 2x + 3 , 2x - y = 5

Compare equation y = 2x + 3 with y = m x + c then we get slope 'm' is 2.

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0)+ 3

y = 0 + 3

y =  3

so, the y-intercept is 3 .

Re-write this equation 2x - y = 5 in the slope intercept form;

Subtract 2x from both the sides of 2x - y = 5

2x - y - 2x = 5 - 2x

- y = - 2x + 5

Multiply both the sides by '-1'

y = 2x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x - 5 to get y-intercept

y = 2(0) - 5

y = 0 - 5

y =  - 5

so, the y-intercept is - 5 .

Equation y = 2x + 3 and  2x - y = 5 are parallel (since there slope are equal 'm = 2').

There is no solution to this system of equations.

For equation:  3x - y = 5 , 2x + y = -3

Re-write this equation 3x - y = 5 in the slope intercept form;

Subtract 3x from both the sides of 3x - y = 5

3x - y - 3x = 5 - 3x

- y = - 3x + 5

Multiply both the sides by '-1'

y = 3x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 3 .

Now, put x = 0 in y = 3x - 5 to get y-intercept

y = 3(0) - 5

y = 0 - 5

y =  - 5

so, the y-intercept is - 5 .

Re-write this equation 2x + y = -3 in the slope intercept form;

Subtract 2x from both the sides of 2x + y = -3

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

- y = - 2x - 3

Multiply both the sides by '-1'

y = 2x + 3

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0) + 3

y = 0 + 3

y =  3

so, the y-intercept is 3 .

Equation 3x - y = 5 and 2x + y = -3 are intersecting lines (since their slope are not equal).

There is one solution to the system of equations (since the lines are intersect).

For equation:   y  = x + 4 , y  = x + 4

Compare equation y = x + 4 with y = m x + c then we get slope 'm' is 1.

Now, put x = 0 in y = x + 4 to get y-intercept

y = 0+ 4

y =  4

so, the y-intercept is 4 .

since equation of line are same therefore slopes are also equal

Equation  y  = x + 4 and y  = x + 4 are parallel lines.

There are infinite solutions to the system. ( Since equivalent equation)

Prudence is creating a garden in her backyard. She wants it to be the shape of an equilateral triangle with sides of length 20 feet. What will be the area of this triangular garden? Round your answer to the nearest whole foot.

Answers

Answer:

The area of the triangular garden is [tex]173\ ft^{2}[/tex]  

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles (the measure of each internal angle is 60 degrees)

The area of a triangle applying the law of sines is equal to

[tex]A=\frac{1}{2}(a)(b)sin(C)[/tex]

In this problem we have a equilateral triangle

therefore

[tex]a=b=20\ ft[/tex]

[tex]C=60\°[/tex]

substitute

[tex]A=\frac{1}{2}(20)(20)sin(60\°)[/tex]

[tex]A=\frac{1}{2}(20)(20)\frac{\sqrt{3}}{2} \\ \\A=100\sqrt{3}\ ft^{2}\\ \\A=173\ ft^{2}[/tex]

are cartoonist is painting on a canvas that is 15 cm wide how wide is the canvas in inches​

Answers

Answer:

you don't know the answer?! Come on folk you tweaking.

Step-by-step explanation:

Answer:

5.90551

Step-by-step explanation:

1cm in inches - 0.3937008in

30cm in inches - 11.81102in = approx. 1 foot (1 ft = 12")

The total cost of 5 boxes of pasta is $13.00. There are 12 ounces of pasta in each box. Each box of pasta costs the same amount. What is the maximum number of boxes that can be purchased with $65.00?

Answers

Answer: 25 boxes of pasta

Step-by-step explanation:

$13 / 5 = $2.60

$65 / $2.60 = 25

Can someone help please

Answers

Answer:

  740

Step-by-step explanation:

If x and y represent the numbers of cans Cannon and Haslyn collected, respectively, then the expression x+y represents the total number of cans the two of them collected. The problem statement tells you that, together, they collected 740 cans. The value of x+y is 740. The first equation gives that value the name "A", which means ...

  A = 740

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle? (1 point) (x - 1)2 + (y + 2)2 = 3 (x + 1)2 + (y - 2)2 = 3 (x + 1)2 + (y + 2)2 = 9 (x + 1)2 + (y - 2)2 = 9

Answers

Answer:

(x + 1)^2 + (y - 2)^2 = 3^2 = 9

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is

(x + 1)^2 + (y - 2)^2 = 3^2 = 9.

Jackie can 150 meters
every minute. She is
training for a track
meet. She ran 500
meters during a warm
up. Write a function
that represents how
many meters Jackie
can runs in total at any
given minute. Then
determine how many
meters she runs after
12 minutes

Answers

Answer:

1800 meters

Step-by-step explanation:

The function is for every minute represented by X 150 meters is completed...or

x(150m)

To find 12 minutes you replace the x with 12

12(150m)=1800 meters

Final answer:

The function that represents how many meters Jackie can run is: 'y = 150*x + 500'. After 12 minutes, Jackie can run 2300 meters.

Explanation:

The problem is basically describing a linear relationship between the minutes Jackie trains and the total distance she covers. The function can be represented by the equation: y = mx + c. In this context, 'y' represents the total distance run, 'm' represents the speed (150 meters/minute), 'x' represents time (minutes), and 'c' is the initial distance covered (500 meters).

So the function will be: y = 150*x + 500.

To find out how much Jackie run after 12 minutes, substitute 12 for 'x' in the equation: y = 150*12 + 500. After doing the calculations, we see that Jackie can run 2300 meters in 12 minutes.

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Patricia va a California A population of lizards lives on Island A. On nearby Island B, another population of the same species is present. The lizards on Island A have evolved to have a large frill around their necks. The lizards on Island B, on the other hand, have evolved to have a much smaller neck frill.Both islands are colonized by humans and some of the lizards on Island A are transferred to Island B. The lizards from Island A interbreed with the lizards on Island B. The gene coding for the large neck frill is passed on to the offspring resulting from these breedings, introducing new genetic variation into the population.The transfer of genetic information that occurs between the two lizard populations above is known as The best method for separating an oil and water mixture would be _____.screeningmagnetismdensityfiltering Please HELP!Pedro needs a 2 on the roll of die in order to win a game. What is his probability of failure? A-1B-1/6C-0D-5/6 PLZ HELP GIVING AS MANY POINTS AS I CAN Which description best fits the distribution of the datashown in the histogram?A. The mean is greater than the median.B. The mean and median are approximately the sameC. The mean is less than the median 7 times the sum of a number and 4 is the same as 8 decreased by 3 times the number. Find the number A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviations was 2.7 Which of the following statements about the corpus luteum is FALSE? a. None of the other answer options is false.b. Progesterone secreted by the corpus luteum maintains the uterine lining.c It is composed of follicle cells that remain in the ovary following ovulation.d. The corpus luteum is maintained first by FSH and then by hCG.e. If the egg is not fertilized then the corpus luteum degenerates. Cooper metal has a specific heat of 390 j/kg C. Calculate the amount of heat required to raise the temperature of 22.8 g of copper to 875 C Evaluate the expression. 8^7/8^7 what are the multiple constitutional documents that came from the multiple revolutions Im stuck on this question can some help me ????? The arms race meant that once the United States built hydrogen bombs,A: the Soviet Union built them too.B: world peace had been assured.C; no other country wanted to build them.D: a new world war was about to start. Which influenced the rise of Florence? Select all that apply.A.) changes in the way that society approached political leadersB.) the increased wealth of Florentine merchants lead to a decreased independence on the ChurchC.) a new interest in classical literature began to influence the way people thought about themselves and their place in the worldD.) social interest in courtly life and humanistic thinkingE.) the convergence of artists like Michelangelo and Leonardo Da Vinci, which changed the way people understood art and the stories of life Explain why a semi-truck will accelerate more slowly than a motorcycle? The Northern Hemisphere experiences winter when Earth is farthest from the sun. True or False If a person exercises when ill he or she might be showing a symptom of? Which number line represents the solution set for the inequality x 4? 20. The surface areas of two similar solids are 216 m and 1014 m. The volume of the larger one is 2197 m. What is the volume of the smaller one?