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baherus [9]
2 years ago
12

PLEASE HELP

Mathematics
1 answer:
Effectus [21]2 years ago
5 0

Answer:

7 people

Step-by-step explanation:

Given:

$272 total money for all friends

parking costs $7.75 for all

tickets cost $37.75 per person

Solution;

Take away the money for parking to see how much money we have left for tickets

272 - 7.72 = $ 264.25

We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for

264.25 / 37.75 = 7

If we have money for 7 tickets then 7 friends can go to the amusement park.

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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
3 years ago
Solve for q. q/18=5 q=​
Nataliya [291]

Answer:

q =90

Step-by-step explanation:

q/18=5

Multiply each side by 18

q/18  * 18=5* 18

q =90

3 0
2 years ago
Read 2 more answers
Please help! I need the answer now!!!!!!!!!
rewona [7]

Answer:

Find the area by multiplying the base by the height. From the problem, the length (base) of the rectangle is 5 units. The height of the rectangle is

3\frac{1}{2}

inches. Multiply to find the area.

5 \times  3 \frac{1}{2}  = 17 \frac{1}{2}

The area of the rectangle is 17 1/2 units squared. The answer you provided is correct!

5 0
3 years ago
−4+8x)+3&gt;x−4?<br><br> x&gt;16<br><br> x&lt;−1<br><br> x&lt;−323<br><br> x&gt;433
pentagon [3]

Answer:

x > 4/33

Step-by-step explanation:

(-4 +8x) +3> x/-4

8x - 1 > x/-4

-32x + 4 < x

4 < 33x

4/33 < x

6 0
2 years ago
What is 2/3 as many as 18
vladimir1956 [14]
2/3 of 18 would be 12 if thats what youre asking. you would do 2/3 x 18
3 0
2 years ago
Read 2 more answers
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