Brainliest is given to the correct answer!

A high school race track is composed of a rectangle and two semicircles.

a. If the length "l" of the rectangle is twice as long as the diameter of the semicircles, write a formula for "p," the distance around the track, in terms of the radius "r" of the semicircles.

b. Rewrite the formula from a so the radius of the semicircles is given in terms of the distance around the track. Show your work.

Step-by-step explanation:

a. We have v as the amount of drug(mg) in the blood at time t (hrs)

b. Flow rate in = k litre/he

For a circulatory system we have the flow rate in and flow rate out to be the same

Therefore,

Flow rate out = k litre/hr

concentration of drug going in = 0mg/litre

Concentration of drug going out = v mg/litre

V(0) = 20mg since 20mg was taken at midnight

V(0) = 20

Half life t1/2 = 36 hours

V(36) = v(0)/2

= 20/2

= 10mg

C. [tex]ivp = \frac{dv}{dt}[/tex][tex]= -kv[/tex]

[tex]v(0) = 20mg\\v(36) = 10mg[/tex]

d. solution

[tex]\frac{dv}{dt} = -kt\\ln(v) = ln(c) - kt[/tex]

[tex]\frac{v}{c} = e^{-kt} = v=ce^{-kt}[/tex]

v(0) = 20

[tex]ce^{-k(0)} =20[/tex]

c = 20

so

[tex]v(t) = 20e^{-kt}[/tex]

e.

[tex]t\frac{1}{2}=36hours\\ v(36)= 10[/tex]

[tex]10 = 20e^{-36k}[/tex]

[tex]\frac{1}{2} =e^{-36k}[/tex]

we take log

[tex]k=\frac{ln(2)}{36}[/tex]

please check attachment for answer f

Answer:

3(5x+7)

Step-by-step explanation:

15x+21

3(5x+7)

Answer:

3(5x + 7)

Step-by-step explanation:

15x + 21

3(5x + 7)

Answer:

442

Step-by-step explanation:

If you want to decrease 520 by 15%, you have to multiply 15% by 520 first, which is 78. Next, you have to minus 78 from 520. Now you get 442!

The number is 442 which is obtained after decreasing 520 by 15% the answer is 442.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let x be the number that is obtained after decreasing 520 by 15%

= (100 - 15)% of 520

= 85% of 520

= 0.85×520

= 442

Thus, the number is 442 which is obtained after decreasing 520 by 15% the answer is 442.

Learn more about the percentage here:

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Answer:

Question 2. 12% of 650 = 78

Step-by-step explanation:

100% = 1 in decimal form.

This is because finding 100% of something is the same as multiplying it by 1:

E.g. 100% of 10=10,  10x1 = 10

Therefore to find a percentage of something, we simply need to multiply it by the decimal form of that percentage. For example, if we were finding 50% of 10 (half), 50% in decimal form is 0.5, 10x0.5 = 5

The percentage here is 12%, we can find the decimal form by dividing it by 100, 12/100 = 0.12

So, in order to find 12% of 650, we just need to multiply 650 by 0.12:

650x0.12 = 78

12% of 650 = 78

Hope this helped!

Answer:

Step-by-step explanation:

Let's begin the solution by isolating the 4x term:

4x- c= k  =>  4x = c + k

Now divide both sides by 4:

          c + k

x = --------------

              4

This does not match Answer C, but would match Answer C if k + c were divided by 4.  Answer C, as shown, is incorrect.

Answer:

30 degrees

Step-by-step explanation:

a linear pair adds up to 180 degrees. therefore, you can compose the equation 2x+10x=180

12x=180

x=15

the smaller angle is 2x, so 2 times 15 is 30

Answer:

It’s 42

Step-by-step explanation: when Quinn return home, it was 0 minutes he turned on the air conditioner. So temperature at that time is equal to value of Q when t=0

Q=42-0.7t

=42-0.7(0)

=42

Answer:

42

Step-by-step explanation:

Step-by-step explanation:

1)All rational numbers are also integers.

2)All integers are rational numbers.

3)All rational numbers can be written in the form.

Complete Question:

On Monday, Sarah has to meet her friend at the park after school. The distance from her house to school is 2x + 5. The distance from school to the park is x. If the total distance she walks that day is 10x + 9, how far is it from the park back to her house?

Answer:

[tex] = 7x + 4 [/tex]

Step-by-step explanation:

Distance from her house to school = 2x + 5

Distance from school to park = x

Total distance walked that day including distance from the park back to her house = 10x + 9

Distance back to her house = total distance walked - (distance form her house to school + distance from school to park)

= [tex] (10x + 9) - ((2x + 5) + (x)) [/tex]

[tex] = (10x + 9) - (2x + 5 + x) [/tex]

[tex] = (10x + 9) - (3x + 5) [/tex]

[tex] = 10x + 9 - 3x - 5 [/tex]

Combine like terms

[tex] = 10x - 3x + 9 - 5 [/tex]

[tex] = 7x + 4 [/tex]

Answer:

5

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Let's replace that blank with x for now ;)

x - (-5) = -7

First, let's change that -(-5) to +5 because subtracting negatives is the same as adding.

x + 5 = -7

Subtract five from each side.

x + 5 = -7

   -5    -5

x = -12

So then we change that x back to the blank and fill it in with -12.

Let me know if this helped!

Answer:

455 so its A

Step-by-step explanation:

Answer:

455

Step-by-step explanation:

861 - (182 + 224) = 861 - 406 = 455

Answer:

55075  / 68992

Step-by-step explanation:

:) hope this helps

m = amount of money you receive

You need at least $40, so that means you need m = 40 or more

So [tex]m \ge 40[/tex] which is the same as saying [tex]40 \le m[/tex]. You flip both sides and also flip the inequality sign as well.

At the same time, your parents won't give you more than $50. So the largest m can get is m = 50. This means [tex]m \le 50[/tex]

-----------------

Combine [tex]40 \le m[/tex] and [tex]m \le 50[/tex] to get the compound inequality [tex]40 \le m \le 50[/tex]

This represents all the possible values of m. We see that m can get as small as m = 40, or as large as m = 50, or anything in between.

------------------

Answer: [tex]40 \le m \le 50[/tex]

Answer:

so if you are looking for Mean, Range, and Median:

Median:44

Range:44

Mean: estimated: 44.6

Step-by-step explanation:

Answer:

If your looking for the M.A.D here

Step-by-step explanation:

Step 1. 45+43+45+44+44+44+47 =312

Step 2. 312/7 =44.57

Step 3.

45 - 44.57=0.43

43 - 44.57=1.57

45 - 44.57=0.43

44 - 44.57=0.57

44 - 44.57=0.57

44 - 44.57=0.57

47 - 44.57=2.43

Step 4.

0.43+1.57+0.43+0.57+0.57+0.57+2.43=6.57

Step 5.

6.57/7 = 0.93

Answer:

14 +15 the answer is this

Answer:

jadi kakak pilih 4×16

karena:

4×16×4 = 256

Step-by-step explanation:

thanks you

i'm sorry ya kalo salah

Answer:

6 represents the number of people among which the balls and jacks will be split.

4 represents the number of balls.

10 represents the number of jacks.

Step-by-step explanation:

This is the PLATO answer, hope it helps :)

Answer:

6

Step-by-step explanation:

Answer:

I think it is 5.

Answer:

Answer is 5

Step-by-step explanation:

Doing the quiz go tq00% just wanted to help people hope this helps yall.

Answer:

3.2

Step-by-step explanation:

5.9 - 2.7 = 3.2

**difference means subtract**

The difference is between 2.7 and 5.9 on a number line.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

Any directed number's location can be determined using a number line. There are positive and negative axes in it.

We have to determine the difference between 2.7 and 5.9 on a number line.

⇒ 5.9 - 2.7

Apply the subtraction operation between 2.7 and 5.9, and we get

⇒ 3.2

Therefore, the difference is between 2.7 and 5.9 on a number line.

Learn more about the number line here:

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Answer: A square has two diagonals, they are equal in length and intersect in the middle. The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular. The diagonals of a square are the same length (congruent).

Step-by-step explanation:

Answer:

a) 14.11 dollars (b) 204 dollars

Step-by-step explanation:

(a) 500 - 211 = 289    289 '/. 17 = 14 r:7  14.7 dollars

(b) 17 x 5 = 85   289 - 85 = 204

hope this helped :)

Answer:

if we dont see a numer in front of a variable it is just 1

Step-by-step explanation:

so for example if you had x^2

it would be 1x^2

Answer:

5/4

Step-by-step explanation:

The slope should be 5/4 because if you go to a point on the line where the boxes meet on your graph and connect it to another point, you can count. I like to use rise over run, meaning you count up or down until you get level with the point you're trying to reach, and the run is the left or right until you get to the point you need. I really hope this helped! It may seem confusing at first, but you got it!

Answer: A= 9

Step-by-step explanation:

2(a+6)-3(a-5)=18

FIRST YOU WANT TO DISTRUBUTE THE PARENTHESIS

2a + 12 -3a + 15 =18

ADD AND SUBTRACT LIKE TERMS

-1a + 27 = 18

SUBTRACT 27 ON BOTH SIDES

-1a + 27 =18

     - 27    -27

-1a= -9

DIVIDES -1 ON BOTH SIDES AND NEGATIVES CANCEL OUT SO IT WOULD BE

A= 9

Answer:

If they are not collinear, then the three points are coplanar.

Step-by-step explanation

Contrapositive is the negative + opposite of the original statement.

Answer:

Step-by-step explanation:

6, 2, 4 =136*

136+136=272

1,3,7,5 = 44 each

360* is the total 4 numbers