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Masteriza [31]
3 years ago
5

Anyone good with calculus? Please help.

Mathematics
1 answer:
podryga [215]3 years ago
4 0

First take a time derivative of a function describing motion,

\frac{d}{dt}h(t)=\frac{d}{dt}-4.9t^2+19.6t-14.6=-9.8t+19.6.

Finding the maxima of the function is obtained by determining where the critical points are. You can find the critical points by equating the derivative with 0 and solving for t,

\frac{d}{dt}h(t)=0

-9.8t+19.6=0\implies t=\frac{19.6}{9.8}=\boxed{2}.

So at 2 seconds the ball peaks in height.

To find out the height feed 2 to the function h.

h(2)=-4.9\cdot2^2+19.6\cdot2-14.6=\boxed{5}.

So at 2 seconds the ball reaches maximum height of 5 meters.

Hope this helps :)

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nignag [31]

Answer:

16÷2

Step-by-step explanation:

It would be 16 divided by 2. This is because in the diagram they are splitting 16 by 2. Splitting 16 by 2 gets you two 8's.

8 0
3 years ago
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Neporo4naja [7]
Okay we'll go through all the steps. Ready?

4 0
3 years ago
Use the diagram to fill in the blanks<br> x=<br> m∠=
faust18 [17]

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

8 0
3 years ago
13)
grandymaker [24]

Given :

Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.

To Find :

If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents  the situation if Ryan wants to earn a minimum of $300.

Solution :

His total earning is given by :

T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)

T = 10x + 13y

Now, he wants to earn a minimum of $300 i.e T ≥ $300.

So, 10x + 13y ≥ 300

Hence, this is the required solution.

8 0
3 years ago
Please assist me with this problem​
n200080 [17]

Answer:

The answer to your question is 90 dB

Step-by-step explanation:

Data

I = 10⁻³

I⁰ = 10⁻¹²

Formula

     Loudness = 10log (\frac{I}{Io})

Process

1.- To solve this problem, just substitute the values in the equation and do the operations.

2.- Substitution

     Loudness = 10 log (\frac{10^{-3}}{10^{-12}} )

3.- Simplify

      Loudness = 10log (1 x 10⁹)

      Loudness = 10(9)

      Loudness = 90

7 0
3 years ago
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