Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mile head start on Arnob. The graph shows how far they have both traveled. A coordinate grid labeled Distances Traveled with Time in minutes along the horizontal x-axis and Distance in miles along the vertical y-axis with 2 lines. The first line is labeled y equals (StartFraction 1 over 15 EndFraction) x plus 5 and passes through (0, 5) and (60, 9). The second line is labeled y equals (StartFraction 2 over 15 EndFraction) x. The lines appear to intersect at between 70 and 80 along the x-axis and 10 on the y-axis. How many minutes does it take Arnob to catch up to Kathleen? 9.8 10 73.5 75

Answer:

The Speed Of Light

Step-by-step explanation:

Answer:

48 and 4

Step-by-step explanation:

If we assume that [tex]\bar X[/tex] to be the random variable that proceed the normal distribution with mean [tex]\mu[/tex] and  a standard deviation [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]

Given that:

mean =48

standard deviation = 16

sample size = 16

The population mean is same as the population mean in sampling distribution that is 48.

The standard deviation of the sampling distribution is therefore calculated as:

standard deviation = [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]

standard deviation = [tex]\dfrac{16 }{\sqrt{16}}[/tex]

standard deviation = [tex]\frac{16}{4}[/tex]

standard deviation = 4

Thus; the mean and the standard deviation of the sampling distribution is 48 and 4

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Explanation:

Focus on point F only. Ignore the other points.

Point F is at (-5, -5).

The x coordinate of this point is x = -5

The horizontal distance from x = -5 to the reflection line x = -1 is 4 units. We move 4 units to the right going from x = -5 to x = -1. Move another 4 units to the right to land on x = 3

Point F = (-5, -5) reflects over x = -1 to land on point G = (3, -5) as shown in the diagram below.

Then going from point G to H has us move upward 4 units up to land on the purple line y = -1, then another 4 units up to finally arrive at point H = (3,3). This is also the location of F'.

Answer:

  R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)

Step-by-step explanation:

The first reflection gives you the transformation ...

  (x, y) ⇒ (x, -y)

The second reflection gives you the transformation ...

  (x, y) ⇒ (x, 2 -y)

Applying the second transformation to the result of the first gives the overall transformation ...

  (x, y) ⇒ (x, 2 -(-y)) = (x, 2+y)

That is, the double reflection is equivalent to a translation upward of 2 units. So, we add 2 to each y-value:

  R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)

Answer:

Step-by-step explanation:

x^2+4x+4=x²+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

=(x+2)²

side length=x+2 meters

Answer:

  FALSE

Step-by-step explanation:

The transformation is a reflection across the line x=1.

In order from shortest to longest, the sides of the left triangle are in counterclockwise order. In the right triangle, they are in clockwise order. This indicates a reflection. A rotation does not change the (CW/CCW) orientation of the triangle.

It is False that the transformation is a rotation.

Answer:

33

Step-by-step explanation:

Let's call their ages m and b.

We have:

m = b + 12

m - 17 = 4(b - 17) → m = 4b - 51

b + 12 = 4b - 51

3b = 63

b = 21

m = 21 + 12 = 33

Answer:

33.

Step-by-step explanation:

If Michael's age is x years now then Brandon's age is  x - 12.

17 years ago  Michael was x - 17 years old and this was 4 times  Brandon's age so:

x - 17 = 4(x - 12 - 17)

x - 17 = 4x - 48 - 68

4x - x =  -17 + 48 + 68

3x = 99

x = 33.

So Michael is now 33 years old.

Answer:

she increased rectangle Q by a scale factor of 36 (36 times larger)

Step-by-step explanation:

72/2=36

Answer:

y = [tex]\frac{2}{3}[/tex] x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and c = 0

Parallel lines have equal slopes , thus

y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 6, 2) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = [tex]\frac{2}{3}[/tex] x + 6 ← equation of parallel line

Answer: SEE EXPLANATION (en ingles)

Step-by-step explanation:

A binomial is an algebraic expression of the sum or the difference of two terms.  

En espanol: Un binomio es una expresión algebraica de la suma o la diferencia de dos términos.

Answer:

The answer would be 36^2=x

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The true statement can be

If a number is a whole number, then it is a rational number.

The Law of Syllogism says that if the following two statements are true:

(1) If p , then q .

(2) If q , then r .

Then we can derive a third true statement: (3) If p , then r .

we have given that

If a number is a whole number, then it is an integer.

If a number is an integer, then it is a rational number.

So, using the law of syllogism the true statement can be

If a number is a whole number, then it is a rational number.

Learn more about law of syllogism here:

https://brainly.com/question/11306409

#SPJ2

Answer: B

Step-by-step explanation:Because I tried every other answer can I found out that B was right

The first known problem solved by the greens using a straightedge and compass. Then the correct option is B.

The DELIAN PROBLEM is a mathematical term that refers to the challenge of estimating the quantity dual of a given cube's edge.

It was the first known problem solved by the greens using a straightedge and compass.

Then the correct option is B.

More about the Delian problem link is given below.

https://brainly.com/question/23639928

#SPJ2

the 9. is 7(y + 2)is 7+2 i think.

10. 8+4

11. 8+9

12. 5+12

13. 2+4

14. 6+7

15. 15-5

16. 5-3

17. 11-6

I rewrite I think if that is correct.

Byee

answer

Step-by-step explanation:

9) 7y+14

10) 32+4r

11) 8x+72

12) 12b+60

13) 8+4a

14) 42+7v

15) 15b-75

16) 15-3v

17) 66-6s

Step-by-step explanation:

Wages

£450

450 x 1.02 = 459

Rent

£200

200 x 1.05 = 210

wages increases by £9

rent increases by £10

No the increase in her wages will not fully pay for the increase in the rent

Answer:

Step-by-step explanation:12/6x=-27-45

12/6x=-72

12=-72×6x

12=-432x

12/-432=x

X= -1/36

Answer:

The cylinder's height is 14 cm

Step-by-step explanation:

Recall that the formula for the volume of a cylinder is given by:

[tex]Volume=\pi\,R^2\,\,H[/tex]

where R is the radius of the cylinder's base, and H the cylinder's height (which we we don't know and need to find)

In order to use this formula to solve for our unknown we need to obtain the radius "R" by using the second piece of information on the length of the base's circumference (22 cm). Recall the formula for the length of a circumference of radius R:

[tex]length=2\,\pi\,\,R[/tex]

Then, in our case:

[tex]length=2\,\pi\,\,R\\22=2\,\pi\,\,R\\R=\frac{22}{2\,\pi} \\R=3.50\,\,cm[/tex]

We now use this information in the volume equation to find the cylinder's height:

[tex]Volume=\pi\,R^2\,\,H\\539\,\,cm^3=\,pi\,(3.5\,\,cm)^2\,\,H\\H=\frac{539}{\pi\,12.25} \,cm\\H=14.0 \,cm[/tex]

Answer:

Step-by-step explanation:

This problem is based on compound interest, and the expression for the compound interest is given as

Given Data

A = final amount  =  ?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time periods elapsed= 14 years

Substituting our data into the compound interest formula we can solve for the final amount

[tex]A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\[/tex]

Hence to the nearest hundred we have the account balance has $3,000

Answer:3400

Step-by-step explanation:

Answer:

(5,6)

Step-by-step explanation:

Answer:

he first step is to write the ratios as fractions.

The next step is to use a  

✔ common denominator

to rewrite the fractions.

Finally, compare the  

✔ numerators

to help you order the ratios.

Step-by-step explanation:

1. Common denominator

2. Numerators

Answer:

The length and width of the rectangle are 10.5 in and 6.5 in respectively.

Step-by-step explanation:

P = 2L + 2W

P (perimeter of the rectangle) = 34 in

L (length of the rectangle) = 4 in + W (width of the rectangle)

Therefore, L = 4 + W

P = 2L + 2W

34 = 2(4 + W) + 2W

34 = 8 + 2W + 2W

34 - 8 = 4W

26 = 4W

W = 26/4 = 6.5 in

L = 4 + W = 4 + 6.5 = 10.5 in

L = 10.5 in

W = 6.5 in

Answer:

7

Step-by-step explanation:

3x- 1/9y = 18

value of x when y is 27

3x- 1/9*27 = 18

3x- 3 = 18

3x = 18 + 3

3x = 21

x= 21/3

x = 7

Hope this helps you!

Answer:

x = 7

Step-by-step explanation:

3x-1/9(27) = 18

x = 21/3

=7

Answer: 2

Step-by-step explanation:

Answer:

x = a²

Step-by-step explanation:

To undo the square root, you have to square both sides of the equation so it becomes...

(√x )² = a²

That undoes the square soot so it is

x = a²

Answer:?

The following list shows how many brothers and sisters some students have:

2, 4, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4

State the mode.

Step-by-step explanation:

Answer: x < 25

Step-by-step explanation:

2/3(x+2)-1/2(x-4)>1/4(x+5)

2/3x+4/3-1/2x+2>1/4x+5/4

Multiply both sides by 12

8x+40-6x>3x+15

2x+40>3x+15

2x-3x>15-40

-x > -25

x<25

Answer:

{x:x=[[3,4,5,6...]}

Step-by-step explanation:

x∈W

[tex]\frac{2}{3}(x+2)-\frac{1}{2}(x-4)>\frac{1}{4}(x+5)\\\frac{2x+4}{3}-\frac{x+4}{2}>\frac{x+5}{4} \\\frac{2(2x+4)-3(x+4)}{2*3}>\frac{x+5}{4} \\\frac{4x+8+3x-12}{6}>\frac{x+5}{4} \\\frac{x}{y} \frac{x-4}{6}>\frac{x+5}{4}\\ 4(x-4)>6(x+5)\\ 4x-16>6x+30\\ 4x-6x>30+16\\ -2x>46\\ x<-23\\x= no solution[/tex]

Step-by-step explanation:

line number                    Property

Line 1: (-7x+3)+2x            associative (gathering -7x and 3)

Line 2: (3+(-7x))+2x.        Commutative (change the positions of 3 and -7x)

Line 3: 3+(-7x+2x).          associatI’ve

Line 4: 3+(-5x)

Answer:

coordinates of its image

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

Step-by-step explanation:

Reflect in y-axis means mirror it's points in the y -axis.

This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.

(Remember, zero multiplied by -1 remains 0).

Given are these points A, B, and C.

A = (4, -1)

B = (3,-3)

C = (0, 2)

After mirroring in the y- axis you get:

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

Answer:

C. 66.4 mph

Step-by-step explanation:

∵ The ratio of speed of motorcycle and the circumference of the tyre is constant for a motorcycle,

If x be the speed ( in mph ) of a motorcycle having the tyre of diameter 28 inches,

⇒ The ratio of speed and circumference = \frac{x}{2\pi (14)}

( Because radius = Diameter / 2 ),

While, the speed of the same motorcycle having the tyre of diameter 25 inches is 60 mph,

⇒ The ratio of speed and circumference = \frac{60}{2\pi (12.5)}

By the above statement,

\frac{x}{2\pi (14)}=\frac{60}{2\pi (12.5)}

\implies x=\frac{60\times 14}{12.5}=\frac{336}{5}=67.2\approx 67

So, the actual speed of the motorcycle after changing the tyre is 67 mph ( approx )

Hence, option 'C' is correct.

Step-by-step explanation:

Answer:

Two polygons are similar with factor k.

=> The ratio between the area of two polygons: r = k^2

=> Here, the area of polygon B is larger than polygon A: 5^2 = 25 times

Hope this helps!

:)

Answer:

Area of polygon B is larger than the area of Polygon A by 25 times.

Step-by-step explanation:

The simplest way of finding this would be to draw a rough image of polygon A and B.

Let's say you drew Polygon A and B as rectangles. Since the scale factor is 5, the dimensions of the sides of polygon B would be 5 times as that of the dimensions of polygon A.

if you label the dimensions of Polygon A as length 2cm and width as 1cm, its area would be 2 square centimetres.

now keeping the scale factor of 5 in mind, multiply the length and the width by 5. you will get the length of polygon B as 10cm and width as 5cm. the area of polygon B becomes 50 square centimetres.

once you have done this, you will realise that the area of polygon B is 25 times the area of polygon A.

Hope this helped:)