If g(x)=x^2-5x+8, find g(8)

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

https://brainly.com/question/19599469

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

Answer:

returning the collateral

Answer:

4 better explanation

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

(2,-1)

Answer: $4.80

Step-by-step explanation:

24/5 = 4.8

$4.80

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

The fence around the edge of the garden is 17.86 m long.

The fence around the edge of the garden is the perimeter of the quarter circle. That is the length of the arc plus the two radii.

Since the radius is 5 units long, its length r = 5 m.

The length of the arc L = rθ where r = radius of quarter circle = 5 m and θ = angle subtended by the arc in radians = π/2 (90°)

So, the length of the fence L' = L + r + r

L' = L + 2r

L' = rθ + 2r

L' = r(θ + 2)

Substituting the values of the varaibles into the equation, we have

L' = r(θ + 2)

L' = 5 m(π/2 + 2)

L' = 5 m(1.571 + 2)

L' = 5 m × 3.571

L' = 17.855 m

L' ≅ 17.86 m

So, the fence around the edge of the garden is 17.86 m long.

Learn more about length of a fence here:

https://brainly.com/question/11978566

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

Answer:

Math answers to fraction 2950 divided by 67 can be calculated as follows.

2950/67 math problems division = 44.0298507463. Therefore 44.0298507463 to 2 decimal places= 44.03

2950/67 divided by 2 » (2950/67) ÷ 2 » 44.0298507463 ÷ 2 = 22.0149253731 . Check 2950/67 long division below

Step-by-step explanation:

Answer:

[Fourth Option] 55.2

Step-by-step explanation:

60% -> 0.6

0.6 * 92 = 55.2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

(D) 55.2

Step-by-step explanation:

Answer:

?=-9

Step-by-step explanation:

A negative x negative is positive. 90/10=9 and mutiply both by -1. -10x-9=-90

The numerical value of this algebraic expression is 123

To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.

[tex]\large \sf =6(22 - 12) + 63[/tex]

[tex]\large \sf =6(10) + 63[/tex]

[tex]\large \sf =60 + 63[/tex]

[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]

Therefore, we can conclude that the numeric value of this expression will be 123

Answer:

B) -3/10 x -6

Step-by-step explanation:

-3/10 x -6=-3 x -6/10

When multiplying two negatives you get a positive.

Hope this helps :)

Step-by-step explanation:

the diameter is 2 times the radius.

so,

12.7×2 = 25.4

so, B is right.

Answer:

Mean x¯ 8.3333333333333

Median x˜ 9

Mode 9

Step-by-step explanation: if 8.3 dosent work just round it

Answer:

w=15

Step-by-step explanation:

4w-36=w+9

3w=45

w=15

Answer:

15

Step-by-step explanation:

The distributive property applies to the expression on the left hand side. It means that the multiplication of 4 is distributed to all the terms in the brackets.

[tex]4(w-9) = w + 9\\4w-36 = w + 9\\4w-w = 9 + 36\\3w = 45\\w = 15[/tex]

Answer:

-4, -1, and 5

Step-by-step explanation:

1. The x-intercepts of a function is where the function intersects with the x-axis.

2. Given the information above, we can see that the function intersects the x-axis at (-4,0), (-1,0), and (5,0).

Answer:

Number of rotations: 5

Slope: 1/2

Step-by-step explanation:

Answer: why did you ask twice for the same problem

Step-by-step explanation:

Answer:David bought an identical mailbox for $ 19.95 at a different store.

Step-by-step explanation:

David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

6*x=9

X=9/6=3/2

Answer:

D. is your answer

Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

Answer:

36.87

Step-by-step explanation:

Sine rules says:

. sin x = opposite / hypotenuse

We just substitute in the values

. sin x = 3 / 5

. sin x = 0.6

Now we use sin inverse to find the value of the angle

. x = sin^-1(0.6) = 36.87

[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]

Answer:

y = 3x - 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the slope and b is the y intercept.

Answer:

11

Step-by-step explanation:

the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps

9514 1404 393

Answer:

Step-by-step explanation:

The relation between the monthly payment (A) and the principal borrowed (P) is ...

  A = P(r/12)/(1 -(1 +r/12)^-n)

where the annual interest rate is r and n is the number of monthly payments.

Then the principal P can be found as ...

  P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount

The sum of payments is ...

  $384 × 60 = $23,040.

The difference between the payments made and the loan principal amount is the interest paid:

  $23,040.00 -21,056.60 = $1,983.40 . . . total interest

Answer:

y = 3x + 1 is the answer

Hello there! :)

The slope of this line is 3.

There are lots of ways to calculate the slope.

Here's one of them:

Rise/Run

Here, the rise is 3 (we move up 3 units)

And the run is 1 (we move 1 unit to the right)

3/1=3

So the slope is 3.

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 1.

So the equation is

y=3x+1

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest!

[tex]MysteriousNature :)[/tex]