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Pavlova-9 [17]
3 years ago
11

HELP

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0
I think it’s B I’m not sure about it but I hate wan I gat it wrong.
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An object is dropped from 39 ft below the tip of the pinnacle atop of 363 ft tall building. The height h of the object after t s
Ksenya-84 [330]

Answer:

4.5 seconds pass before reaching the ground

Step-by-step explanation:

The height of the object is given by the following equation:

h(t) = -16t^{2} + 324

How many seconds pass before reaching the ground

It hits the ground when h(t) = 0. So

h(t) = 0

-16t^{2} + 324 = 0

16t^{2} = 324

t^{2} = \frac{324}{16}

t = \pm \sqrt{\frac{324}{16}}

t = \pm 4.5

There are no negative instants of time, so only the positive answer interests to us.

4.5 seconds pass before reaching the ground

5 0
3 years ago
Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 f
lana [24]

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

<u>-TheUnknownScientist</u>

7 0
3 years ago
Jake's family is moving to a new home. They packed 22 boxes in 1 5/6 hours. What is the average number of boxes they packed per
Ivahew [28]
Answer: 12 boxes per hour?
7 0
3 years ago
Read 2 more answers
Does (4, 1) make the equation y = x true?
Anna [14]

Answer:

No

Step-by-step explanation:

No it does not. For (4,1), x is equal to 4 and y is equal to 1.

This makes the equation y=x: 1=4

4 does NOT equal 1, so the equation will be false.

4 0
3 years ago
Read 2 more answers
The quantity R, in grams, of a certain radioactive substance decreases according to the exponential decay model dRdt=−0.05R, whe
Leto [7]

Answer:

  • <u>24 seconds</u>

Explanation:

1. Quantiy R

Decay model:

       \dfrac{dR}{dt}=-0.05R

That is a first order reaction, whose solution is:

        R=R_0e^{-0.05t}

The value at t = 0, R(0) = 100 is R₀.

Thus, the law is:

        R(t)=100e^{-0.05t}

2. Quantity S

Decay model:

       \dfrac{dS}{dt}=-4

That is a zero order kinetic, whose solution is:

       S=S_0-4t

The value at t = 0, S(0) = 125 is S₀

Thus, the law is:

      S(t)=125-4t

<u>3. At what time will there ve equal quantities of both substances?</u>

You must solve the system doing R(t) = S(t)

      100e^{-0.05t}=125-4t

That equation must be solved by graphing or by consecutive iterations

Note that when t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.

Subsitute with t = 10.

  • The left-hand side yields: 61 and the right-hand side yields 85.

Then, the time is greater than 10.

Substitute with t = 15

  • Left-hand side = 47
  • Right-hand side = 65

t = 20

  • Left-hand side = 37
  • 45

t = 25

  • Left-hand side = 29
  • Right-hand side =25

t = 24

  • Left-hand side =3 0
  • Right hand side = 29

Hence, 24 seconds is a satisfactory solution.

The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.

5 0
4 years ago
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