You have a friend that feels tired so often that they use coffee to try to waken themselves up in the afternoon. They typically drink a venti Starbucks coffee at 4:00 pm in the afternoon. They go to bed around 10:00 pm must wake up at 6:00 am. You’re concerned that drinking the coffee may be affecting their sleep habits and using coffee to solve the problem is only making it worse.
•The amount of caffeine in a venti Starbucks coffee is 415mg
•Every hour, the amount of caffeine in your body decreases by 12%
•People that have 300mg of caffeine at bedtime experience severe sleep disruption
•People that have 50mg of caffeine at bedtime can experience a loss of one hour of sleep
•Recommend sleep time for teenagers is 8-10 hours
Create a report to determine if your friend needs to change their coffee drinking habits.

Answer:

0

Step-by-step explanation:

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10

This can be written in the form AX = b

A is a 2 by 2 matrices

b is a column matrix

Taking the determinant of A

[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]

We are to finds the determinant

|A| = 1(1) - 1(1)

|A| = 1 -1

|A| = 0

hence the required determinant is 0

Step-by-step explanation:

let,

p(A)={1,2,3,4}

p(B)={3,4,5,6}

p(AnB)={3,4}

now,

LHS=RHS. proved.

hope it helps.

Answer:

Step-by-step explanation: 14 * 5 = $70

Answer:

1.10

Step-by-step explanation:

Answer:

$1.09

Step-by-step explanation:

3 10 dollar bills is $30

$30 - $25.34 - $2.99 - $0.58 = $1.09

Answer:

How many thirds are equal to 2/6?

1/3 = 1/3

2/6 = 1/3

3/9 = 1/3

4/12 = 1/3

Step-by-step explanation:

I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.  

Have a great rest of your day/night!

1 thirds

divide 2/6 by 2 and you get 1/3. or multiply 1/3 by two and you get 2/6.

Answer:

b. because if there is a bigger population the sample will be more random

Answer:

If there's no other variables involved.

x=1

Answer:

x = 1

Step-by-step explanation:

x = 4 - 3

4 - 3 = 1

Hence, x = 1

Answer:

12

Step-by-step explanation:

y = 3 so

4 × 3 = 12

The value of 4y at y=3 is 12.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Expression : 4y

Now, we have to put y= 3

So, 4y

= 4(3)

= 12

Hence, the value of 4y at y=3 is 12

Learn more about Equation here:

https://brainly.com/question/10413253

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Answer:

[tex]2\pi \times r[/tex]

1. 2×3.14×80

=502.4 m

4. 90 pound on Earth weighs 34 pounds on Mars.

If it weighs 135 pounds on earth, it will weigh x pounds on Mars

=90×=135×34

=90x=4590

=x=4590÷90

x=51 pounds

So therefore it weighs 51 pounds on Mars.

Step-by-step explanation:

in question 4 you have to cross multiply

Answer:

Step-by-step explanation:

The integers are: x, x+2

Them, x + x+ 2 = 36

2x +2 = 36

Answer:6y= -5x + 3

Step-by-step explanation:

The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

5y = -6x + 2

The slope of the equation is -6/5.

Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as

y = mx + c

The product of the slope of the perpendicular lines is equal to a negative one.

The slope of the perpendicular line will be

(-6/5) m = -1

         m = 5/6

Then the equation will be

y = (5/6)x + c

Let the equation is passing through the origin, then we have

6y = 5x

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

AOB=40°

COD=90°

BOD=130°

AOD=180°

Answer:

You end up at point (7,5).

Step-by-step explanation:

Starting point:

The coordinates of the starting point are: x = 4, y = 6.

So

(4,6).

Move 3 units right:

Moving 3 units right is adding 3 to the x-coordinate. So

x = 4 + 3 = 7

(7,6).

Move 1 unit down:

Moving 1 unit down is subtracting 2 from the y-coordinate. So

y = 6 - 1 = 5.

You end up at point (7,5).

Answer:

2nd

Step-by-step explanation:

bec 1\8  = 0.125 so it must be close more to 0

and the 1.33 is bigger than 1.25

Answer:

7.2

Step-by-step explanation:

just divide the total weight by 2 and add 2.6. after adding 2.6 you subtract that weight from the total.

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

Answer:

D im not sure but i hope its right

Step-by-step explanation:

You're right its the answer is C

Answer:

250 in²

Step-by-step explanation:

There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.

4( l x b) + 2( l x b)

4( 10 x 5) + 2(5 x 5)

4(50) + 2(25)

200 + 50

Therefore 250 in²

Answer:

the two points be

(0,0) and (1,-3)

slope [m]=[-3-0]/[1-0]=-3

constant rate is-3.

Answer:

Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.

Step-by-step explanation:

Answer:

First of all what are those white figure?

Answer: 36 cubic feet

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. The answer is 20%.

Answer:

2,144.66 miles³

Step-by-step explanation:

v = (4/3)πr³

v = (4/3)π(8³)

v = 2,144.6605848506

Rounded

2,144.66 miles³

Answer:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is [tex]a(t) = 2t + 5[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K[/tex]

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

[tex]v(t) = t^2 + 5t - 3[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K[/tex]

In which K, the constant of integration, is the initial position. Since it is 12:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Answer:

Option b is correct answer

Step-by-step explanation:

The complete question is attached herewith

Solution

The equation of a line in given by

y=a +bx where

a is the Y- intercept and

b is the  slope

From the given piece of information, we can derive that

coefficient of intercept = 10.1  

coefficient of fertilizer= 1.150

Substituting the given values in above equation, we get -

y=10.1+1.150x

Option b is correct answer

Answer:

The answer is the 3rd one.