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Eva8 [605]
3 years ago
10

M∠P is 10 more than 3 times a number, m∠N is 8 less than 5 times the same number. What is m∠M?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0
∠n = ∠p

p - 3x = 10

5x - n = 8......>  5x - p = 8

by adding the two equations

2x = 18 , x = 9

p = 37

m∠M = 180 - (2*37) = 106°
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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
The price of a plane ticket has increased from $150 to $200. By what percent has the price increased?
Maslowich

Answer:

It has increased 33%

5 0
3 years ago
Read 2 more answers
r = 13.1 km., d = ? , C = ? a. d = 26.2 km, C = 82.31 km c. d = 6.55 km, C = 82.31 km b. d = 26.2 km, C = 41.15 km d. d = 6.55 k
DENIUS [597]
Answer is <span>a. d = 26.2 km, C = 82.31 km

D = 2r = 2 x 13.1 = 26.2
C = 2pi r  = 2 x </span>3.14159265359 x 13.1
C = 82.31

7 0
3 years ago
Lil makes $3.51 am hour more than Noah. Both of them worked for 42 hours on a project. Together, they made $1147.02 what is Noah
finlep [7]

Answer:

999.60

Step-by-step explanation:

$3.51 times 42 is 147.42 and 1147.02 minus 147.42 is $999.60

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8 0
3 years ago
Which angles are supplementary to each other?
Rus_ich [418]

Answer:

Angle 4 and Angle 1 are supplementary to each other.

Step-by-step explanation:

A line is 180°. Because angle 4 and angle 1 and right next to each other and they share a straight line, both of their angles should add up to 180°, making these two angles supplementary.

I hope this was helpful to you! If it was, please rate and press thanks! Have a fantastic day!

6 0
2 years ago
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