Caffeine in the body decays by a factor of every 2 hours.

Answer:

[tex]f(x)=0.003x+14[/tex]

Step-by-step explanation:

Let the linear function to represent the height of tree be:

[tex]f(x) =mx+c[/tex]

Where [tex]x[/tex] is the time in months

[tex]m[/tex] is the rate of change in the height of tree each month.

[tex]c[/tex] is the initial height of the tree.

Here, we are given that:

The initial height of the tree is 14 ft.

Increase in the height = 0.003 ft per month

Putting the values in the equation of function:

[tex]f(x)=0.003x+14[/tex]

So, the function [tex]f(x)=0.003x+14[/tex] can be used to find the height of tree in [tex]x[/tex] months since it was measured.

Answer:

11x

Step-by-step explanation:

the answer is 11x

Answer:

11x

Step-by-step explanation:

Answer:

x= 72

Step-by-step explanation:

Answer:

x = -2 :)

Step-by-step explanation:

5x - 3 = 2x - 9

3x = -6

-6/3 = -2

Answer:

x = -2

Step-by-step explanation:

I dunno which one to answer so I'll do both. (the question you posted or the picture??)

5x - 32x - 9

First we can combine the like terms 5x and -32x. Which is -27x

We can't combine -9 with anything so it stays the same.

-27x - 9

________________________________

5x - 3 = 2x - 9

-2x        -2x      

3x - 3 = -9

Here I subtracted -2 from both sides.

3x - 3 = -9

    +3    +3

3x = -6

Divide both sides by 3 to isolate the variable.

x = -2

(sorry this is so long) Hope this helps and have a great day!

Answer:

a.70°

b.125°

c.125°

Step-by-step explanation:

ans respctively a,b,and c

Answer:

60

Step-by-step explanation:

This shape can be divided into a rectangle and a right triangle.

rectangle: l x w = 8 x 6 = 48

triangle: .5bh = .5 x (12-8) x 6 = 12

48 + 12 = 60 square units

hope this helped!

Answer:

1 1/2

Step-by-step explanation:

Answer:

aint no way im answering all of those

kid just put them in y=mx+b form by isolating the y

Step-by-step explanation:

i'll do #19 for ya

y-4 = 3(x-2)

3(x-2) turns into 3x-6 when u distribute it

y-4 = 3x-6

isolate the y by adding 4 on both sides

y=3x-2

there ~ it's in slope intercept form

Answer:

19. Y = 3x - 2

20. Y = -x - 6

21. Y = -2x + 2

22. Y = -5x + 14

23. Y = 6x - 3

24. Y = 3x + 23

25. Y = 1/2x + 5

26. Y = 1/3x + 2

27. Y = x + 1

Answer:

The lines are parallel.

Step-by-step explanation:

I know that because when i graphed the line they where by each other, But when you graph the line one of the lines are longer then the other but it does not count.

Hope this helps!!! ,

                               Shadow lolbit.

P.S, can i have some friends plz!!!!!

Answer:4

Step-by-step explanation:

howdy

Answer:

3 to 8

Step-by-step explanation: It cannot be further simplified so 3 eggs to 8 cups or 3:8 ratio

Answer:

x=39

Step-by-step explanation:

180-102=78

78/2=39

Answer:

x=39

Step-by-step explanation:

180-2x=102

-2x=-78

x=39

Answer:

y=3x-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

"Carlos travelled a certain distance from home to the campgrounds on his dirt bike at a speed of 50 km/h and returned at a speed of 60 km/h. How can carlos find the distance between his home and the campgrounds if the total time traveling was 11 hours"

Given data

initial speed u=50km/h

final speed v=60km/h

time taken t=11hours

change in speed= 60-50

=10km/h

we know that the expression for speed is given as

speed= distance/time

let the distance be x

10=x/11

x= 10x11

x=110km

Therefore the distance is 110km

Answer:

-16 < -10

-10 > -16

Step-by-step explanation:

James = -16

Alexis = -10

-16 < -10

This means, James scored less than Alexis at the end of the card game

-10 > -16

This means Alexis scored more than James at the end of the card game

The inequality that compares the points Alexis and James scored could either be any of the following:

-16 < -10

-10 > -16

Answer:

?

Step-by-step explanation:

Step-by-step explanation:

X+106=180 [(being cointerial angle]

or, X=180-106

or,X=74

therefore,X=74

2y=X=74[being corresponding angle]

X+(4z+6)=180[being exterior cointerior angle]

or, 74+6+4z=180

or,4z=180-80

or,4z=100

or,z=100/4

or,z=25

Answer:

I think it is i

Step-by-step explanation:

The formula is 2(l+w)

2(13+8)

2(13)=26

2(8)=16

26+16=42

Answer:

divide by -2/3 you will get -51

i believe :)

Step-by-step explanation:

Answer:

x = 34

Step-by-step explanation:

We need to find the value of x in the given equation :

3+0.75(x-2)=0.5(x+20)

Solving as follows:

3+0.75x-1.5=0.5x+10

Taking like terms together,

3-1.5-10=0.5x-0.75x

-8.5=-0.25x

[tex]x=\dfrac{8.5}{0.25}[/tex]

x = 34

So, the value of x is 34.

Answer:

Alternate Interior Angles Theorem

Step-by-step explanation:

To put it simply; they are both internal angles. N is the internal line and as both JNM and NMI are angles that use the line N both are interior angles. They are clearly on oppisite sides of the line N, making them "Alternate Interior Angles".

Just took the test. :)

The answer is the Alternate Interior Angles Theorem option first is correct.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

The missing figure is attached in the picture please refer to the picture.

We have:

Segment JK is parallel to segment HI while ∠JNM and ∠LNK are vertical angles. ∠JNM and ∠LNK are congruent by the Vertical Angles Theorem

As we know,  both angles have internal angles. Since JNM and NMI are angles that both employ the internal line N, they are both interior angles. N is the internal line.

Thus, the answer is the Alternate Interior Angles Theorem option first is correct.

Learn more about the vertically opposite angles here:

brainly.com/question/24287162

#SPJ2

Answer:

Option (B)

Step-by-step explanation:

By exterior angle theorem,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the given theorem,

8x - 30 = (4x + 8) + (2x + 2)

8x - 30 = 6x + 10

8x - 6x = 40

2x = 40

x = 20

m∠BAC = (2x + 2) = (2×20) + 2

                              = 42°

Therefore, Option (B) will be the answer.

Answer: y=4 or y= 4 over 3

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

Answer:

C. Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

Directed numbers are numbers which has direction i.e either a negative or positive sign before it. This implies that all numbers are directed, since a number without a sign is taken to be positive.

Thus from the given expression,

3 + (-5) = 3 - 5

           = -2

So that,

3 + (-5) = -2

Expressing this on the number line, -2 is 5 units to the left of 3. Thus option C is appropriate.

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:

Answer: The customer will make $80 as interest in 4 months.

Step-by-step explanation:

Given: Deposited amount : P = $4000

Rate of interest per year : r= 6% =0.06

Rate of interest monthly = [tex]\dfrac{r}{12}=\dfrac{0.06}{12}=0.005[/tex]

Time = 4 months

Simple interest = principal x rate of  interest x time

[tex]=4000\times 0.005\times 4=80[/tex]

hence, the customer will make $80 as interest in 4 months.

Answer:

Anything with 2 Yellow and more than 3.5 Blue

Step-by-step explanation:

The answer is pretty obvious, but I will give a more mathimatical explanation that is easy to understand.  The ratio is saying that for every 2 units of yellow, there are 3.5 units of blue.  You can find ratios that are the same but use more/ less  amounts.  So if you use 4 units of yellow and 7 of blue it is the same ratio.  

If you multiply both parts of the ratio (or divide) by the same number you will always get the same ratio.  So if you want something more blue (or yellow) you just have to keep one the same while increasing the one you want to have more effect.  

Answer:

(1-14/x3) 6/(x+ 7/x2)1/2

Step-by-step explanation: