A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
How many minutes did it take to run 1 kilometer? ​

Answer:

Third one

Step-by-step explanation:

Answer:

y= 20h + 2

   its $20 times the hours for every 2 hours

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]

When t = 0, A(0) = 0 (since the forest floor is initially clear)

[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]

[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]

So, D = R - A =

[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]

when t = 0(at initial time), the initial value of D =

[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]

Answer:

I need help with this as well.

Step-by-step explanation:

The coordinates of point Q in terms of a, b, and c are (2b+2a, 2c) and SQ and PR bisect each other because the midpoints are same.

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

Let us find coordinates if T using midpoint formula

T=(2b+2a/2, 2c+0/2)

T=(b+a, c)

Now let us find coordinates of Q using midpoint formula

Xs+Xq/2=Xt

0+Xq/2=Xt

Xq = 2b+2a

Ys+Yq/2=Yt

Yq/2=C

Yq=2c

The coordinates of Q are (2b+2a, 2c)

To verify that SQ and PR bisect each other they share the same midpoint

For SQ = (0+2b+2a/2, 0+2c/2)

Midpoint is (b+a, c)

For PR =(2b+2a/2, 2c+0/2)

Midpoint is (b+a, c)

They have same midpoints, so they bisect each other

Hence,  the coordinates of point Q in terms of a, b, and c are (2b+2a, 2c) and SQ and PR bisect each other because the midpoints are same.

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

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Answer:

B

Step-by-step explanation:

16(-5) - 7 = 11(-5) - 32

-80 - 7 = -55 - 32

-87 = -87

-4(-5) - 10 = 2(-5) + 20

-30 ≠ 10

Answer:

c. Both A and B

Step-by-step explanation:

Let's solve the equations to find out.

Equation A

16x - 7 = 11x - 32

5x - 7 = -32

5x = -25

x = -5

So, Equation A has a solution of x = -5.

Equation B

-4x - 10 = 2x + 20

-6x - 10 = 20

-6x = 30

x = -5

And so does Equation B.

Answer:

The answer should be 42

Step-by-step explanation:

One-third of 42 is 14 if you subtract 6 from 14, you should get 8.

Answer:

c.

Step-by-step explanation:

can i have brainliest

Answer:

Root at -4 with multiplicity of 2

Root at 2 with multiplicity of 1

Step-by-step explanation:

You don't actually need to factor this, you can just use Vieta's formulas and deduce the answer by looking at the options.

It states that the product of the roots is equal to the constant over the coefficient of the highest degree term; in this case, it is 16/1=16.

If you take the product of the roots of each answer, you get (from top to bottom) 16, 4, -16, and -4, which means that only the first answer is correct.

Answer:

Root at -4 with multiplicity of 2

Root at 2 with multiplicity of 1

Step-by-step explanation:

Answer:

a. $270

b. $3,278.18

Step-by-step explanation:

Given that

The principal amount is $3,000

Annual rate of interest is 3%

And, the time period is  3 years

We need to find out the simple interest & compound interest

The following formulas should be used

a. For simple interest

= Principal × rate of interest × time period

= $3,000 × 3% × 3 years

= $270

b. For compound interest

= Principal × (1 + rate of interest)^time period

= $3,000 × (1 + 0.03)3

= $3,000 × 1.03^3

= $3,278.18

Answer:

Chloe is making a mural. She spends 6 hours designing it.

She paints it during 3 sessions. Each session is the same

number of hours long. In all, Chole spends 24 hours making

the mural.

Step-by-step explanation:

Answer:

Each painting session is 6 hours long

Step-by-step explanation:

You can represent the situation with an equation.

3h+6=24

3h+6/3=24/3

h+2=8

h+2-2=8-2

h=6

Answer:

7.5xd - 18.75x

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.

  $79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year

  = $532.97

The interest amount in the first payment is $532.97.

__

The amount of the first payment that goes to principal is what is left after the interest is paid:

  $587.20 -532.97 = $54.23 . . . amount to principal

__

The new balance is the previous balance less the amount to principal:

  $79,946.13 -54.23 = $79,891.90 . . . new balance

Answer:

The person walked 1,056 feet in 6 minutes.

Mph 12

Answer:

b) all of the cupcakes in the bakery

Explanation:

in statistics, the population is a group of people/things that are in the same category for collecting data. c) and d) are thus wrong since no data is collected about the other goods or the employees, while a) is wrong because that is just a sample (which helps to test for a large population) and not the actual population.

i hope this helps! :D

Answer: B

Step-by-step explanation:

Answer:

Slope is 6

Step-by-step explanation:

(-3, 4) and (-4, -2)

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

m=(-2 - 4)/(-4 + 3)

m= (-6)/(-1)

m = 6

Answer:

no I can't u just ruined my mood

Here's the solution,

Area of Square pyramid = Areas of triangles + Area of square base

and we know, the triangles have equal base and same height, so their areas will be equal

Area of each triangle :

=》

[tex] \dfrac{1}{2} \times 9 \times 7[/tex]

=》

[tex] \dfrac{63}{2} [/tex]

=》

[tex]31.5[/tex]

So, are of triangle = 31.5 ft²

since, there are four triangles ,

Area = 31.5 × 4

=》126 ft²

Area of square base = 9 × 9 = 81 ft²

Hence, Area of pyramid = 81 ft² + 126 ft²

=》207 ft²

Answer:

I dont know

Step-by-step explanation:

im trying to get brainly points lol

Answer:

a = 4

b = 5

c =6

Step-by-step explanation:

i hope it helps

the answers are absolutely correct

Answer:

it is 11 years

Step-by-step explanation:

Hope it helps u

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Answer:

95°

Step-by-step explanation:

95°

They are vertical angles.

Answer:

95 degree write it fast jakakkaoaoa

Answer: the y-intercept is (0,3)

Step-by-step explanation:

the y-intercept is (0,3)

Answer:

25

Step-by-step explanation:

1/2 b h

1/2×10×5=25

so i guess the ans is 25 thats all I know

u take 1/2 base ×height

Answer:

Step-by-step explanation:

Do you not know that a triangle has 180 degrees in total. Pay attention in class geez.

Answer:

50.27 if pi is 3.14

Step-by-step explanation:

Answer:

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Answer:

0.5 miles.

Step-by-step explanation:

Remark

I'm going to assume that the total number of sprints was 22. If he sprinted back then there and back counts as 2 sprints.

Formula

Total distance = 22 * 40

Solution

Total distance = 880 yards.

There are 1760 yards in a mile.

The number of miles he ran was 880/1760 = 1/2 mile or 0.5 miles.

Answer:

515

Step-by-step explanation:

Answer:

511

Step-by-step explanation:

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