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2 years ago

Evaluate the expression when x = 12 and y = 2.

Mathematics

1 answer:

Fittoniya [83]2 years ago

7 0

Answer:

add me me on here

Step-by-step explanation:

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A number is divided by 3. Then, 5 is added to the quotient, and the result is 8. What is the number?

Sergeu [11.5K]

Answer:

D. 9

Step-by-step explanation:

1. 9/3 = 3

2. 3+5 = 8

Result = 8

8 0

3 years ago

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$

At t = 0

$C(0) = 8(e^{(0)}-e^{(0)}) = 0$

At t = 2

$C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185$

At t = 12

$C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059$

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

4 0

2 years ago

Help. MEEEEEEEEEEEEEEEEEE

a_sh-v [17]

Answer:

Step-by-step explanation:

2 Loaves of Bread is = 2.25*2 = 4.5 cups

She used the remaining flour to make 48 muffins.

48/24 = 2

3.25*2 = 6.5 cups

6.5 cups + 4.5 cups = 11 cups

6 0

2 years ago

Read 2 more answers

167÷2=83.5 how to solve

gavmur [86]

Step-by-step explanation:

162/2 (the same as 162÷2) =83.5

83.5+83.5=162

that was two times to add so we know for sure that 162/2=83.5. Theres no special way to solve it since its just dived by <em>two</em>. Its just 162÷2=83.5

Hope this helps.

3 0

3 years ago

Read 2 more answers

PLEASE HELP!! asap!!

spin [16.1K]

Answer:

The third one from left to right

Step-by-step explanation:

Just check that when x = 11

y= $-\sqrt[3]{11-3}+4=-2+4=2$