4200 with a 35%markdown

Solution :

Let y = amount of caffeine at a given time in body.

n = number of hours

So [tex]$\frac{dy}{dn}= - \ Y$[/tex]

[tex]$\Rightarrow \frac{dY}{Y}=- 0.01 \ dn[/tex]

ln Y = -0.01 n + C

At n = 0, Y = 130 mg

ln 130 = -0.01 x 0 + C

C = ln 130

[tex]$ \ln \frac{Y}{130} =- 0.01 \ n$[/tex]

[tex]$Y = 130 \ e^{-0.01n}$[/tex]

When Y = 65

[tex]$65 = 130 \ e^{-0.01 n }$[/tex]

[tex]$\frac{65}{130}=e^{-0.01n}$[/tex]

[tex]$\ln \frac{1}{2} = -0.01 \ n$[/tex]

n = 69.315 hours

At n = 24 hours

[tex]$Y = 130 \ e^{-0.01 \times 24}$[/tex]

Y = 102.26 mg

Answer:

I believe the answer is 7 for the rate of change

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters

Answer:

 37 sorry if i calculated wrong

step-by-step explanation:

Answer:

The answer is 16 because

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

        = 16

Answer:

45

Step-by-step explanation:

Answer:

The length of the body is 45.

Step-by-step explanation:

The violin and bass have an equal ratio, to find the ratio find the two given lengths and divide them, 72 ÷ 24 = 3. So the ratio is 3:1. To find the body of the bass you just have to do 15 × 3. Which is 45.

Answer:

1.05263

Step-by-step explanation:

hope it helps !

Answer:

Equation: 720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)

x=17

Step-by-step explanation:

A 6 sided polygon is 720° degrees

so

720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)

Simplify

720=(8x+5x+7x+6x)+(−1+110+36+116+19+−2)

Combine like terms:

720=26x+278

flip equation:

26x+278=720

subtract 278 from both sides

26x=442

divide by 26 both sides:

x=17

Hope this helps.

Answer:

Y=109 X=31

Step-by-step explanation:

Alright, so the angles that you have to find the values for make up 180 degrees. Since you have 71 degrees on the bottom, and according to a certain theorem I forgot about, that means that the angles you're solving for equal 109 degrees.

X= 31 because 4 x 31 = 124 and then 124 - 15 equals 109

Answer and Step-by-step explanation:

We are told that l and k are parallel (which is shown with the || symbol).

Line n therefore, is a transversal (a line that intersects two parallel lines).

We are now told to find y and x.

Since we know the lines are parallel, we can use the vertical angles theorem to say that y is equal to 4x - 15.

With angle 71, we can say that the angle that is to the left of (4x - 15) is also 71. When these two are added together, they equal 180. So let's do that.

71 + 4x - 15 = 180

Subtract 71, add 15, then divide by 4.

4x - 15 = 109

4x = 124

x = 31

31 is equal to x.

Now, we plug it into the equation so that it will equal to y.

4(31) - 15 = y

124 - 15 = y

y = 109

109 is equal to y.

We can verify this by using the supplementary angles theorem for y and 71, when 71 is above y. When y and 71 is added together, they add up to 180. So, 180 - 71 is equal to 109, which is y.

31 is equal to x.

109 is equal to y.

#teamtrees #WAP (Water And Plant) #SPEW (The Society for the Promotion of Elfish Welfare)

Answer:

constants

Step-by-step explanation:

That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.

The term or number with no variable attached is called a constant as in the polynomial or expression.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

A number consists of the expression with no variable.

As we know, the expression is a combination of numbers, variables, and operators.

If we take an example of the polynomial.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

Here a₀ is a constant because the term a₀ has no variables.

Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ6

Answer:

45

Step-by-step explanation:

So we do 1 and 5 so if you have 9 then you do 9*5=45

Answer:

946 Sq Inches

Step-by-step explanation:

just cut it off to make two rectangles

28 * 7 = 196

30*25= 750

then add em up

750+196 = 946

Answer:

918 in²

Step-by-step explanation:

Those are just 2 recangles.

1. 30*25 = 750

2. 7*24 = 168

add 750+168= 918

Answer:

C. 604

Step-by-step explanation:

Karana returned the items so you are adding the money back to the credit card which would be 604.  369 + 235 = 604

Answer: 80

Step-by-step explanation:

Given

15% of ? is 12

We multiply

Answer:

80

Step-by-step explanation:

15% × ? = 12

? =

12 ÷ 15% =

12 ÷ (15 ÷ 100) =

(100 × 12) ÷ 15 =

1,200 ÷ 15 =

80

Answer:

19.

How do you want to prank him?

Step-by-step explanation:

Answer: 19

Step-by-step explanation: 9+10 is equal to 19. (I get the joke but I don't want to get flagged)

Answer:

x^2=399+1

x^2=400

x=√400

x=+/-20

A. x=20 and x=-20

Answer:

x = 20 and x = -20

Step-by-step explanation:

I am a math expert. 20^2 and -20^2 are both 400 - 1 = 399.

Everything else is 397 or a wayyy higher number

Trust me the answer is x = 20 and x = -20

If im right, give me brainliest

Answer:

A = -7

Step-by-step explanation:

Isolate the variable by adding 5 to each side. This becomes A = -7. To check your work plug -7 in for A.

-7 - 5 = -12

   -12 = -12

This is true so -7 is the correct answer.

Answer:

$1,053.00

Step-by-step explanation:

50 + 1.00 + 2.00 + 1,000 = 1,053.00

Answer:

A or number 1

Step-by-step explanation:

x-1 = -x

so we go this way <--

then we go down 3

so -3

y= lx-1l-3

I hope I'm correct!

Answer:

460

Step-by-step explanation:

This quiz is Said to consist of 920 questions. Each if these questions have 2 options of answering them only. Which is True or False.

True represents correct = 0.5

False represents wrong = 0.5

The probability of correct is = 0.5

With a sample size of 920

Mean = no

= 920x0.5

= 460

So the mean number of correct answer from this calculations I just did is equal to 460

Answer:

2/8 and 1/8

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The answer is the absolute value of 31 + (-5)

So it is 36

Answer:

its gonna be whatever the y value is when x is 22

Step-by-step explanation:

Answer:

1.25,but your teacher is prolly looking for a fraction so 1 1/4

Step-by-step explanation:

DO NOT PUT 20 THAT PERSON S WRONG

Answer:

A.

Step-by-step explanation:

Subtract -4x on both sides to get to -2y=-4x-8, then you should divide -2 into both sides to get to the slope of y=2x+4 since two negatives would equal to a positive when dividing and multiplying.  Because the slope is positive, it is safe to assume that the first two options A and B are the best options due to their slopes being positive and going up.  The y-intercept is 4 which makes the answer A because on 0 it is on the positive side.

Answer:

6.5 yards of cord were bought

Step-by-step explanation:

234/36=6.5

Answer:

C and E

Step-by-step explanation:

Ik u prolly dont care about the explanation but ill just say it

the ratio is 1:132 or 1 crib is $132. So 40 x 132 = 5280 and 80 x 132 = 10560

For the test im doing the answer is C and D  yw ;D