Estimate:
81 - 11.70 =

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: 1

Step-by-step explanation:

I got right edgy I know is crazy but trust

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:

a) eraser=5,2cm

b)glue stick =10cm

c)fork =18cm

d)thermometer =12,7cm

Step-by-step explanation:

all approximately

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:

1.05263

Step-by-step explanation:

hope it helps !

Answer:

0

Step-by-step explanation:

Average rate of change from x = -3 to x = 5.

When x = -3, y = -1. That is f(-3) = -1

When x = 5, y = -1, That is f(5) = -1

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = -3, f(a) = -1 [/tex]

[tex] b = 5, f(b) = -1 [/tex]

Plug in the values into the equation:

[tex] = \frac{-1 - (-1)}{6 -(-3)} [/tex]

[tex] = \frac{0}{8}  [/tex]

[tex] = 0 [/tex]

Average rate of change = 0

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:

Javier. (5.6 × x) + y = 26.96

Ellema. (13.2 × x) + y = 48.62

x = cost of gas

y = cost of car wash

Answer:

2/8 and 1/8

Step-by-step explanation:

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:

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:

45

Step-by-step explanation:

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

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:

the AA~ congruency could be used, because

angle w=y,

angle t=z

and angle x is common

Step-by-step explanation:

That was my answer and I got it right :)

The given triangles are not similar.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given a figure of two triangles, ΔWXT and ΔYXZ

Here,

28/35 ≠ 30/38

WX/YX ≠ XT/XZ

We can conclude that, the corresponding sides are not in common ratio, so triangles are not similar.

Hence, The given triangles are not similar.

For more references on similarity in triangles, click;

https://brainly.com/question/25882965

#SPJ5

Answer:

y=250x-4

Step-by-step explanation:

If y represents the amount of money made in a week, y=250.

If x represents the amount of cakes that are made, x=?

You make $250(y) a week, you then spend $4(x) per cake, this would make the equation:

y=250x-4

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

Answer:

No or Less than

Step-by-step explanation:

No. 10*3/4 is not. 3/4 is less than 1, so it is not equal Your answer is less than.

Hope this helps Hit that crown !!!

Answer:

I think the answer is greater than

First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.

Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.

For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.

Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.

Answer:

1= 51

2= 18

3= 123

4= 39

Step-by-step explanation:

First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.

Answer:

I believe the answer is 7 for the rate of change

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

The store wants to make a 20% profit:

Multiply the cost of the toy by 1.20 ( cost plus 20%).

6.25 x 1.20 = $7.50

This means when the toy is sold at 25% off, it needs to be $7.50 to make the 20% profit.

When the item is 25% off, that means it would sell for 75% of the original price.

Now to find what the price needs to be before the 25% off divide the profit price by 75%

7.50 / 0.75 = $10

K = $10

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:

x^2 = 5^2 = 25

Answer:

mine answer/opinion is like this..............

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:

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:

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:

6.5 yards of cord were bought

Step-by-step explanation:

234/36=6.5