caffeine takes a certain amount of time to leave your system. if you drink 3 cups of coffee in the morning, the function that represents the amount of caffeine remaining in your body after drinking the coffee is given by g(t)=130(.8246)t where t is time in hours
A. How much caffeine remains in your system after day 1
B. How much caffeine remains in your system after 2 days?

Step-by-step explanation:

1. d = rt

Divide t from both sides.

[tex]\frac{d}{t} = r[/tex]

2. PV = nRT

Divide P from both sides.

[tex]V = \frac{nRT}{P}[/tex]

3. [tex]\frac{x}{2} -g=a\\[/tex]

Add g to both sides.

[tex]\frac{x}{2}[/tex] = g + a

Now multiply by 2 on both sides.

x = 2(g + a)

(or, x = 2g + 2a)

4. g[tex](h+\frac{3}{2} ) = 11[/tex]

Divide g from both sides.

[tex]h + 1.5 = \frac{11}{g}[/tex]

Now subtract 1.5 from both sides.

h = [tex]\frac{11}{g} -1.5[/tex]

5. [tex]a(n-2)+5=bn\\[/tex]

n = [tex]\frac{2a-5}{a - b}[/tex]

Answer:

15 then 25 then 35 then 45

Step-by-step explanation:

10x2=20-5 is 15 same equation for the rest, 10x3 is 30-5=25,etc.

Hope this helped!

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

Let point P(x,y) cuts line joining point  [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex]  in [tex]m_1:m_2[/tex] then coordinate of point P is equal to [tex](\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})[/tex]

Here given that point divides line segment from J to K into a ratio 5:1

So

[tex]m_1=5\\\\m_2=1[/tex]

Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1

We can calculated y coordinate by applying section formula as :

[tex]\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}[/tex]

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

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Answer:

6

Step-by-step explanation:

edg 2022

Answer:

Step-by-step explanation:

It's Irrational.

sqrt(70) = sqrt(2 * 5 * 7)

You can't pull anything out of the right to leave the number under the root sign = to 1. That means that since all three roots are irrational, the whole number is irrational, In fact it takes only 1 number other than 1 left under the root sign to make the result irrational.

√50 = √(5 * 5 * 2)

The 5's will produce one number outside the root sign -- five. That makes the result

5√2 The result is irrational because √2 is irrational

Answer:

Some of the possible combinations are;

1) $19 per adult, $0 per child

2) $10 peer adult, $9 per child

3) $14 peer adult, $5 per child

Step-by-step explanation:

The given information are;

The estimated number of adults to attend the fund raising dinner = 200 adults

The amount the fund raiser is trying to realize = 3800

Therefore, some of the possible combinations are;

1) 3800/200 = 19 per adult to give;

$19 per adult, $0 per child

2) Given that each adult is charged $10, we have;

Total amount from adults = $10 × 200 = $2000

The total amount to be raised from the children = The amount the fund raiser is to realize - (Total amount from adults)

∴ The total amount to be raised from the children = 3800 - 2000 = 1800

The total amount to be raised from the children = $1,800

If there are 200 children we have;

The amount charged per child = (The total amount to be raised from the children)/(The total number of children)

The amount charged per child = $1,800/200 = $9 per child

Therefore, we have;

$10 peer adult, $9 per child

3) If each of the 200 children are charged $5 each, we have;

The total amount to be raised from the children = $5 × 200 = $1,000

∴ The amount to be raised from adults = $3800 - $1000 = $2800

The amount to each adult is to be charged = $2800/200 = $14

Therefore, we have;

$14 peer adult, $5 per child.

Answer:

sure what do you need help with?

Answer:

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Answer:

$6.90

Step-by-step explanation:

4 quaters = $1

$1 x 3= 3

3 dimes= 30 cents

3+3+.90= $6.90

Answer:

The value of (8x^(3)-24x^(2)y^(2)+36x)-:6x is 4x^2/3 - 4xy^2 + 6

Step-by-step explanation:

Answer:

X= -6. Y=4

Step-by-step explanation:

-6+4= -2

Answer: 9

Step-by-step explanation:

50 x 2= 100 (this tells you how much soda is going to be drank it total)

100/12 = 8.3 (this tells you how many cases you should buy, its 8.3 so you would need to round up to 9.)

Step-by-step explanation:

z = b - ma

z - b = ma

z - b / m = a

Answer:

Evelyn brought "x" apples for 5 dollars each. Then she has a discount for 2 dollars. The final total is 28. If "x" equals the number of apples, how many apples did she buy?

E is the middle of [AC]

so AE = 1/2 x AC

then

4x = 1/2 * (6x + 5)

4x = 3x + 5/2

x = 5/2

x = 2,5

Answer:

[tex]x=\dfrac52[/tex]

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.  This means that the diagonals are divided into 2 equal parts by the other diagonal.

Therefore,

[tex]\implies AE =\dfrac12 AC[/tex]

[tex]\implies 4x=\dfrac12(6x+5)[/tex]

To solve:

multiply both sides by 2:

[tex]\implies 8x=6x+5[/tex]

subtract 6x from both sides:

[tex]\implies 2x=5[/tex]

divide both sides by 2:

[tex]\implies x=\dfrac52[/tex]

Answer:

The domains of both f(x) and g(x) must be (–∞, ∞).

Step-by-step explanation:

-Ash

:p

The both original functions have a domain of ( -∝ , ∝ )

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) is a parabolic function where the domain of the function ranges from

And , domain of a parabolic function is all real numbers, which means that the function is defined for every possible input value

Hence , the domain is ( -∝ , ∝ )

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Answer:

Step by Step Solution

STEP1:

Solving a Single Variable Equation:

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

No solutions found

Explanation:

It can be misleading to try to think in terms of "multiplying" or "dividing". There is a tendency to try to remember a procedure for solving problems. It can be more useful to remember the relationships involved in a problem.

Once you have an equation based on the relationships, you make use of the rules of algebra to solve it. Sometimes multiplication is involved; sometimes division.

__

The trig relations are summarized in the mnemonic SOH CAH TOA. This is intended to remind you ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The rules of algebra tell you that these equations can be multiplied by the denominator to eliminate the fractions:

  Hypotenuse × Sin = Opposite

  Hypotenuse × Cos = Adjacent

  Adjacent × Tan = Opposite

Solving any of these equations may involve multiplication, or it may involve division, depending on what you have and what you're solving for.

__

In short, remember SOH CAH TOA and the general rules of solving equations. That will tell you whether you need to multiply or divide.

Answer:

b

Step-by-step explanation:

the exponent has to be 7 for the first 2. and then the bigger decimal will be 7.2 so yeah

The answer is:put the equation xa+yb=1 to the slope intercept form and find its slope and y-intercept.

Sample Answer: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.

Answer:

THATS DUMB BRUH WORK TO MAKE $$$$$$

Step-by-step explanation:

Answer:

h= -10.071

Step-by-step explanation:

- times a - equals positive: h+2.22= -7.851

move the 2.22 to the right side and change the sign to a negative: h= -7.851 -2.22

subtract -7.851-2.22= -10.071

h= -10.071

Answer:

40 ft

Step-by-step explanation:

I attached a pic showing work !!

Answer:

F(x) = 1/x^2

Step-by-step explanation:

F(x) = 1/x^2 is

y = 1/x^2

graph goes up to 10 each side

plug in 1,2,3,4,5,6,7,8,9,10 for x and see what y looks like

when x is  1,2,3,4,5,6,7,8,9,10

y is 1,1/4,1/9,etc

The value of interest rate should be 0.085.

We have given that the interest rate is 8.5% So we have given in percentage form but we use always decimal form of interest.

To convert a percentage to a decimal, divide by 100.

So the decimal form of the 8.5% is calculated by

[tex]\frac{8.5}{100}=0.085[/tex]

Therefore the option c is correct.

Therefore we use the interest rate is 0.085.

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Answer: C 0.085

Step-by-step explanation:

Answer:

n=2

y=3

I explained the answers to your questions in the photo sent

Answer:

5%

Step-by-step explanation:

Given the following question:

The item costs 60 dollars
The shipping costs was 3 dollars

What was the percent of 60 is 3?

To find the answer we divide the shipping fee by the cost and then multiply the answer by 100.

[tex]\frac{3}{60} =3\div60=0.05\times100=5[/tex]
[tex]=5[/tex]

3 dollars is "5 percent" of 60 dollars.

Hope this helps.

Answer: 250

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

based on the info we have, calculate: 24 x 3 / 8

Answer: 9

A box sits on a table. A short arrow labeled F subscript N = 100 N points up. A short arrow labeled F subscript g = 100 N points down. A long arrow labeled F subscript P = 75 N points right. A short arrow labeled F subscript f = 10 N points left. Then  net force acting on the box IS 65N

Net force is final force acting on any object .

Here given that

A box sits on a table. A short arrow labeled F subscript N = 100 N points up. A short arrow labeled F subscript g = 100 N points down. A long arrow labeled F subscript P = 75 N points right. A short arrow labeled F subscript f = 10 N points left

So we can see it in diagram that force in upper direction and lower direction is same 100N so this force will be cancelled out

Now force in right side is 75N and in left side force is 10N

So net force = (75-10)=65N in right side

A box sits on a table. A short arrow labeled F subscript N = 100 N points up. A short arrow labeled F subscript g = 100 N points down. A long arrow labeled F subscript P = 75 N points right. A short arrow labeled F subscript f = 10 N points left. Then  net force acting on the box IS 65N

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Answer:

He needs to sell 12 to get exactly $30 but he needs to sell at least 13 if he wants to earn more than $30

Answer:

13 or more magazines.

[tex]30 / 2.5 = 12[/tex]

[tex]12 * 2.5 = 30[/tex]

In that case, anything equal to or greater than 13 is correct.