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Sveta_85 [38]
3 years ago
7

You drink a cup of coffee with 120 mg of caffeine. Each

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Answer:

91.2 mg of coffee left in your system 2 hours from consumption

Step-by-step explanation:

120 x .12 = 14.4

14.4 x 2 = 28.8

120 - 28.8 = ...

91.2 mg

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Find the variable 5x+8=3x
murzikaleks [220]

Answer:

-4 =x

Step-by-step explanation:

5x+8=3x

Subtract 5x from each side

5x-5x+8=3x-5x

8 = -2x

Divide by -2

8/-2 = -2x/-2

-4 =x

6 0
3 years ago
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Limit as x approaches 9 of x^2 -81/sqrt of x - 3
Ipatiy [6.2K]

Answer:

108

Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

= 81-81/3-3

= 0/0 (indeterminate)

Apply l'hospital rule

= lim x -> 9 d/dx(x²-81)/√x - 3

= lim x -> 9 2x/1/2√x

Substitute x = 9

= 2(9)/1/2√9

=18/1/(2(3)

=18 × 6/1

= 108

Hence the limit of the function is 108

7 0
3 years ago
Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the numb
bekas [8.4K]

Answer:

3/4

Step-by-step explanation:

24-6=18--> role playing games

18/24=3/4

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3 years ago
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A fireworks display is launched from a platform 10 feet above ground with an initial upward velocity of 70 feet per second. The
Lena [83]

Answer: A. 87 feet


Step-by-step explanation:

1. You can find the t value of the vertex of the parabola as following:

t=-\frac{b}{2a}

2. Substitute values:

a=-16

b=70

Then:

 t=-\frac{70}{2(-16}

t=2.18

3. Substitute the vaue obtained into the equation given in the problem. Therefore, you obtain the following result:

h=-16t^{2}+70t+10\\h=-16(2.18)^{2}+70(2.18)+10\\h=86.56

4. To the nearest foot:

h=87 feet

6 0
3 years ago
I need help, please help me this is a quiz and I don't know the answer.
Digiron [165]
It is definitely G :)
8 0
3 years ago
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