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masya89 [10]
3 years ago
13

I will give Brainliest!!!

Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer: C

Step-by-step explanation:

x = 2\sqrt{y+2} - 6

x + 6 = 2\sqrt{y+2}

((x+6)/2 = \sqrt{y+2} )^2

(x+6/2)^2 = y+2

y = (x+6/2)^2 -2

y= 1/4x^2 +3x +7

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Katyanochek1 [597]

Answer:

Thank you lol. I am so bored right now.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

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:

brainly.com/question/19599469

7 0
2 years ago
Kate borrowed $400 from her friend. She will repay this amount plus 3 percent simple interest after one year. What is the total
tekilochka [14]
The answer is $412.

Let's first calculate simple interest. Simple interest (I) can be expressed as:
I = P * r * t
P - principal
r - rate
t - time period

It is given:
I = ?
P = $400
r = 3% = 0.03
t = 1 year

Therefore:
I = P * r * t = 400 * 0.03 * 1 = 12

The total amount Kate will repay is the principal amount (P) plus 3% simple interest (I):
P + I = 400 + 12 = $412
6 0
3 years ago
2. The diagram shows some steps.<br> Find the volume in cm^3 and surface area in cm^2.
aleksley [76]

Step-by-step explanation:

Volume= [(20+20) x (20+20) x 100] - (20 x 20 x 100)

=120000cm^3

surface area= 2 x 40 x 100 + 2 x (40 x 40 - 20 x 20) + 4 x 20 x 100

=18400cm^2

6 0
3 years ago
Read 2 more answers
Which represents the solution(s) of the system of equations, y = x2 - 2x - 15 and y = 8x - 40? Determine the solution set
suter [353]

Answer:no solution??

8 0
3 years ago
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