The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs at an average of 6 miles per hour, she
will finish a race in 2. 1 hours. How long will it take Jackie Donofrio, who runs at 4 miles per hour to finish the same race?

Answer:

The answer is A.......

Step-by-step explanation:

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

Read more about velocity and time at:

https://brainly.com/question/19979064

Answer:

[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]

Step-by-step explanation:

We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:

[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]

At this point we can just use the slope-point equation to get our first line:

[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]

Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.

[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]

[tex]y= \frac67x -\frac{78}7[/tex]

[tex]22 \times {10}^{4} \\ = 22 \times 10 \times 10 \times 10 \times 10 \\ = 22 \times 10000 \\ = 220000[/tex]

B. 220,000

Hope it helps.

Do comment if you have any query.

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

Answer:

The answer 4/7

Step-by-step explanation:

A K A H

4 letters in the word PRAKASH are made of 3 straight lines. That's why the fraction is 4/7.

In the word, 4/7 fraction of the letters is made up of 3 straight lines.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

In the word PRAKASH, there are 7 letters, In which 2 A's, 1 K, and 1 H is made up of 3 straight lines so (2 + 1 + 1) = 4.

∴ The fraction of the alphabet made up of three straight lines is,

= 4/7

learn more about fractions here :

https://brainly.com/question/10354322

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Answer:

x=8

y=18

Step-by-step explanation:

[tex](3x+13)+(7x-3)=90[/tex]

[tex]10x+10=90[/tex]

[tex]10x=90-10[/tex]

[tex]x=\frac{80}{10} =8[/tex]

[tex]3x+13=3(8)+13=24+13=37[/tex]

[tex]5y=180-37-53=90[/tex]

[tex]y=\frac{90}{5} =18[/tex]

I hope this help you

V = s^3 = 8^3 = 512cm^3 True.

Answer:

every answer:

A

B

B

B

B D E

A

C

C

C

D

Step-by-step explanation:

i got 100% on Edg

Answer:

y = 12x + 2

Step-by-step explanation:

To know:

     [] These equations are in y = mx + b form

           () Also known as slope-intercept form

           () m is the slope

           () b is the y-intercept

Now, let's solve

     [] Slope / m

           () Slope is "change in y over change in x," let hours be our x and distance by our y

           () [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]

     [] Y-intercept / b

           () We will plug in a set of points into our current equation, then solve for b

           () y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b

Last, we will find our answer

Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2

Have a nice day! - table I made is attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.

AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)

AB = 3 then  XY = 2* 3 = 6

AB = 2.5 then XY = 2*2.4 = 5

XY = 18 ( the big one)  then AB = 18/2 = 9 ( the small one)

XY = 4 then AB = 2/2 = 2

XY = 9 then AB = 9/2 = 4.5

Answer:

1.

Step-by-step explanation:

5^a = 10

a log 5 = log 10

a log 5 = 1

a = 1 /log 5

a^-1 = log 5

In the same way:

b = 1 / log 2

b^-1 = log 2,

So a^1 + b^-1 = log5 + log 2 = log (2*5)  

= log 10

= 1.

Option c since the equation shifts 2 units vertically up compared to parent square root function

Answer:

50 is sum of gcf its couldn't of 19 is 20

Answer:17/3 or 5 and 2/3

Answer:

19 = -3p

Step-by-step explanation:

14 +6p =5 +3p

c.l.t

14 +5 = -6p + 3p

19 = -3p

Answer: 0.29

Step-by-step explanation:

Divide x by y.  See attachment.

Answer: 6

Step-by-step explanation:

Let's look at two points on this line (1, 5), and (0, -1)

Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])

[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]

[tex]\frac{6}{1}[/tex]

Hope it helps :)

Answer:

Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)

From point (0, -1) to point (1, 6) would look like this

(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7

Since you already have you y-intercept (where x is 0), your whole equation would be this:

y = 1/7x - 1

Answer:

$51.00

Step-by-step explanation:

Answer:

y = 1/6x - 9

Step-by-step explanation:

The slope-form intercept formula is y = mx + b

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83

Answer: y ≤ -y+4

Step-by-step explanation:

The line in the graph:

Taking two points, we can calculate the slope of the line.  I'll pick (0,4) and (4,0)

Rise/Run (slope):  Rise (0-4) = -4, Run = (4-0) = 4.  Slope is -4/4 or -1.

The y-intercept is 4 (the value of y when x is zero).

The equation for the line is y = -x + 4.  The shades area includes all points on and under this line, so y ≤ -y+4.

Answer:

The last one (16+20+3+8)

Step-by-step explanation:

add up all the sides not including the 3 inside

Answer:

(16+20+3+8)

Step-by-step explanation:

The perimeter is the measurement on the outside of the shape.

so (3+16+20+8) = 47

Answer:

If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ , and solve for b.

If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ . Solve the resulting system of two equations in two unknowns to find a and b.

Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ .

Step-by-step explanation:

Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

Answer:

5+5=10

Step-by-step explanation:

i dont understand

Answer:

What grade are you my brother is good at this stuff

Step-by-step explanation:

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 6 side

n=6

sum of interior angles of a hexagon =(6−2)×180°

=720°.

______________________________________

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 10 side

n=10

sum of interior angles of a hexagon =(10−2)×180°

=1440°.

hope this helps you.