Camie and jorge each begin saving money

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

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.

9514 1404 393

Answer:

  b)  12.2 ft

Step-by-step explanation:

Based on the attached and the answer choices, it looks like we're to assume the pole is leaning away from the sun. Of course, we must assume the angle the pole makes with the ground and the angle of elevation are in the same plane.

The problem can be solved using the law of sines. In the attached, we have ...

  AD/sin(O) = OA/sin(D)

The angle at D is 180° -45° -75° = 60°, so this can be written as ...

  AD = sin(45°)(15 ft)/sin(60°)

  AD ≈ 12.247 ft

The pole is about 12.2 feet long.

Answer:

Step-by-step explanation:

6, 2, 4 =136*

136+136=272

1,3,7,5 = 44 each

360* is the total 4 numbers

Answer:

Maybe,2500. Is just my guessing.

Step-by-step explanation:

Cost of Goods Sold = Beginning Inventory + Purchases during the year - Ending Inventory

= 20,000 + 15,000 - 2,500

=35,000 - 2,500

=32,500

Answer:

B

The answer is b im doing a type limit.

Answer:

the answer is 123,343,435.4421

9514 1404 393

Answer:

  2

Step-by-step explanation:

In general, if the given angle is opposite the shorter of the two given sides, there will be 0 or 2 possible triangles. The attachments show the two possibilities.

__

There will be zero possible triangles if the ratio of sides is less than the sine of the angle. Here, 24/29 ≈ 0.8276, sin(43°) ≈ 0.6820. The ratio of sides is greater, so there are two possible triangles.

If the given angle is opposite the longer of the two given sides, there is one possible triangle. The same is true if the given angle is between the two given sides.

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:

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:

55075  / 68992

Step-by-step explanation:

:) hope this helps

Answer: Consructive interference

Step-by-step explanation:

Answer:

destructive interference

Step-by-step explanation:

Answer:

u = 156.25

Step-by-step explanation:

Step 1: Write equation

31.25 = u/5

Step 2: Solve for u

Step 3: Check

Plug in u to verify it's a solution.

31.25 = 156.25/5

31.25 = 31.25

Answer:

156.25

Step-by-step explanation:

if you multiply 31.25 times 5 you get 156.25

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:

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:

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:

12

Step-by-step explanation:

answer: It would be -(-3)-4-3 or 3-4-3=-4

explanation: Hope this helps!

Answer:

Step-by-step explanation:

4.375

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: 4 days

Step-by-step explanation:

Kindly check attached picture for detailed explanation

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.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]

b

 [tex]h(g(x))  = \sqrt{x}  + 7\sqrt[4]{x} + 17[/tex]

c

 [tex]h(h(x)) =  [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]

Step-by-step explanation:

From the question we are told that

    [tex]h(x) =  x^2  + x  + 5[/tex]

and  

    [tex]g(x) = \sqrt[4]{x} + 3[/tex]

Considering first question

Now we are told  g(h(x))

i.e

        [tex]g(h(x)) =  [x^2 + x + 5 ]^{\frac{1}{4} } + 3[/tex]

=>     [tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]

Considering second  question

   Now we are told  h(g(x))

i.e

    [tex]h(g(x)) =  [x^{\frac{1}{4} } + 3]^2 +  x^{\frac{1}{4} } + 3 + 5[/tex]

=> [tex]h(g(x)) =  x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}}  + 8[/tex]

=>  [tex]h(g(x))  = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17[/tex]

=>  [tex]h(g(x))  = \sqrt{x}  + 7\sqrt[4]{x} + 17[/tex]

Considering third question

         [tex]h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] +  5[/tex]

=>       [tex]h(h(x)) =  [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]

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:

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:

brainly.com/question/17617832

#SPJ2

Answer:

6

Step-by-step explanation:

the volume of a prism is always the base times the height this can be written as V = bh

we know the volume is 144 and the base is 24

substitute this into your equation: 144 = 24h

divide both sides by 24 to find h

144 ÷ 24 = 6

so you get h = 6

Assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.

Using this formula

Volume of prism=Base area ×Height

Hence:

144=24×h

h=144/24

h=6 units

Therefore, assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.

Learn more about Perpendicular height of the prism here:https://brainly.com/question/10166088

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

[tex]Hypotenuse = \sqrt{8^{2}+15^{2} }[/tex]

[tex]Hypotenuse = \sqrt{64+225}[/tex]

[tex]Hypotenuse = \sqrt{289}[/tex]

[tex]Hypotenuse = 17[/tex]

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

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:

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:

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