For me ots allmost 11 at night please help

Mathematics

1 answer:

slega [8]2 years ago

8 0

Answer:

slope(m)= (9/4) and y intercept =5

Step-by-step explanation:

You might be interested in

A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%

Mamont248 [21]

Answer:

a. $A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\$

b. $\frac{dA}{dt}= -11.25 \frac{mg}{h}$

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

$A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\$

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

$\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}$

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0

3 years ago

Simplify the expression (-3x^-4)^2

Bond [772]

$(-3x^{-4})^2\\9x^{-8}$

7 0

3 years ago

a function f(x) is described by the ordered pair (x,y). if given the function is translated 2 units to the right and then reflec

OleMash [197]

The ordered pairs would be (x-2, -y).

Translating a graph to the right subtracts the number of units from the x-coordinate.

Reflecting across the x-axis negates the y-coordinate.

3 0

3 years ago

Factor. Explain.<br> 24x³y²-4x²y+84x^4

Elan Coil [88]

Answer:

$\boxed{\bold{4x^2\left(6xy^2-y+21x^2\right)}}$