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Zolol [24]
3 years ago
15

TAKING TEST PLEASE HELP

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

A

Step-by-step explanation:

just took the test ! (double checked:)

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The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2
Olegator [25]

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) = \dfrac{5x}{x^2+9}.

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

5 0
2 years ago
What is the value of x?
Orlov [11]

Answer:

x = 24.5

Step-by-step explanation:

There are two similar triangles. In similar triangles the sides are in proportion.

Let's name big triangle as triangle 1 and small triangle as triangle 2.

The sides of the big triangle:

27 as base and the longest side (x + 7)

The sides of the small triangle:

base = 27 - 6 = 21

longest side = x

We need to find the value of x using proportion.

27/21 = (x + 7)/ x

By cross multiplying, we get

27(x) = 21(x + 7)

27x = 21x + 147

27x - 21x = 147

6x = 147

Dividing both sides by 6, we get

x = 147/6

x = 24.5

The value of x = 24.5

Hope you will understand the concept.

Thank you.

5 0
3 years ago
Cheryl drove 4 hours at a constant rate to travel 160 miles. At what rate did she drive? A. 20 mph B. 35 mph C. 40 mph D. 72 mph
erik [133]

Answer:

40 mph

Step-by-step explanation:

you take your miles 160 and divide them by 4 which is going to be 40

5 0
3 years ago
Read 2 more answers
Help with 12!! ASAP will gove brainliest!! How to find the surface area!!
Shkiper50 [21]

Answer: 659 13/18 yd^2 or 659.7yd^2                ^ =squared

Step-by-step explanation:

This is the answer because you have 6 sides of this prism. That means 3 sides are parallel to the sides across from them. So, 12 1/2 yd by 8 1/3 yd is 104 1/6, then multiply by 2. That equals 208 1/3. Then, 10 5/6 yd by 8 1/3 yd is 90 5/18. then times by 2. That equals 180 5/9. Next, 10 5/6yd by 12 1/2 is 135 and 5/12. then times by 2 and that is 270 5/6yd.

add 208 1/3 + 180 5/9 + 270 5/6

659 13/18 yd^2

3 0
3 years ago
IMAGE ATTACHED please help giving 50 points
alexdok [17]

Answer:

(4,1)

Step-by-step explanation:

when points are reflected on the y-axis you switch your x coordinate from positive to negative or the other way around the y coordinate stays the same.

(2,1) reflected is (-2,1)

(7,4) reflected is (-7,4)

(-8,-4) reflected is (8,-4)

so (-4,1) reflected is (4,1)

5 0
2 years ago
Read 2 more answers
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