Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.

Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.

Answers

Answer 1

Answer:

C = t * 3

Step-by-step explanation:


Related Questions

Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?

Answers

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

how many triangles in the figure?
26
25
24
27

Answers

I keep getting 22 triangles

Help I need help on this question

Answers

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m

Answers

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

can yall help me plz

Answers

Answer:

lol girl i have this one too and im trying to do cuz no one cam to help me so im going to try and then i will see if i help you

Step-by-step explanation:

Answer:

just add thos and then put then to geter and you get 3x+1^2

Step-by-step explanation:

Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?

Answers

8. 63-15=48 48 divided by 6=6

It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?

Answers

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

Pls Help me. I will mark brainlist.

Answers

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{2}{5\sqrt{3} }[/tex]

To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]

= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]

= [tex]\frac{2\sqrt{3} }{15}[/tex]

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

Given

[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]

Multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then

= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL

= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]

= [tex]\frac{9+4\sqrt{5} }{1}[/tex]

= 9 + 4[tex]\sqrt{5}[/tex]

Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend?

Answers

.....................................

Answer:

(B) 31.5

Step-by-step explanation:

angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.

Answers

Answer:

50° and 130°

Step-by-step explanation:

Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°

3x-4+8x-14=180°

11x-18=180°

11x=198°

x=18°

Angle1 = 3*18 -4 = 50°

Angle2 = 8*18 -14= 130°

Given the points: (-2, 0) and (4,8) find the slope

Answers

Answer:

1&1/3

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(8 - 0) / (4 +2)

8/6

1 1/3

ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but

Answers

Answer:

just look up the answers on google

Step-by-step explanation:

pleaseeeeeeeeeeeeeeeee solve this

Answers

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?

A) 1/2
B) -1/2
C) 2
D) -2​

Answers

Answer: Its A

Step-by-step explanation:

simply the following 2m⁵×5m³×7m²​

Answers

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

can someone help me with this

Answers

A ) 40

2^2=4
6^2=36
4+36=40

PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213

Answers

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

To all math experts here. Please answer it.​

Answers

Answer:

where are the functions below? or should they be equated? like f(x) with the g(x)??

find the value of x - PLEASE HELP

I need to show my work -

Thank you!!

Answers

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

Simplify 9 to the 2nd power\ 9 to the 7th power

Answers

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z

Answers

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

Select the correct answer.
To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18

Answers

Answer:

The answer is C, hope that helps:)

Step-by-step explanation:

The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0




please help quickly​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent

(8x + 6) ° = ___°
8x =
x =

Answers

Answer:

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

Which pair of quantities form a proportional relationship? Select all that apply​

Answers

Answer:

The 4th and 6th

Step-by-step explanation:

helppp someone!!! i’ll mark brainliest!!!

Answers

Answer:

I think the answer is A. since the exponents inside the equation are negative, and the outside exponents are positive

Step-by-step explanation:

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