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3 years ago

1 1/2 + 1 3/4 + 2 Easy Free points I guess lol

Mathematics

2 answers:

Masja [62]3 years ago

5 0

Answer: 5 1/4

Explanation: 21/4 = 5 1/4

charle [14.2K]3 years ago

5 0

Answer: 5 1/4

Explanation: 21/4 = 5 1/4

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The rate of change of the downward velocity of a falling object is the acceleration of gravity (10 meters/sec 2) minus the accel

Alexus [3.1K]

Answer:

See below

Step-by-step explanation:

Write the initial value problem and the solution for the downward velocity for an object that is dropped (not thrown) from a great height.

if v(t) is the speed at time t after being dropped, v'(t) is the acceleration at time t, so the the initial value problem for the downward velocity is

v'(t) = 10 - 0.1v(t)

v(0) = 0 (since the object is dropped)

<em> The equation v'(t)+0.1v(t)=10 is an ordinary first order differential equation with an integrating factor </em>

$\bf e^{\int {0.1dt}}=e^{0.1t}$

so its general solution is

$\bf v(t)=Ce^{-0.1t}+100$

To find C, we use the initial value v(0)=0, so C=-100

and the solution of the initial value problem is

$\bf \boxed{v(t)=-100e^{-0.1t}+100}$

what is the terminal velocity?

The terminal velocity is

$\bf \lim_{t \to\infty}(-100e^{-0.1t}+100)=100\;mt/sec$

How long before the object reaches 90% of terminal velocity?

90% of terminal velocity = 90 m/sec

we look for a t such that

$\bf -100e^{-0.1t}+100=90\rightarrow -100e^{-0.1t}=-10\rightarrow e^{-0.1t}=0.1\\-0.1t=ln(0.1)\rightarrow t=\frac{ln(0.1)}{-0.1}=23.026\;sec$

How far has it fallen by that time?

The distance traveled after t seconds is given by

$\bf \int_{0}^{t}v(t)dt$

So, the distance traveled after 23.026 seconds is

$\bf \int_{0}^{23.026}(-100e^{-0.1t}+100)dt=-100\int_{0}^{23.026}e^{-0.1t}dt+100\int_{0}^{23.026}dt=\\-100(-e^{-0.1*23.026}/0.1+1/0.1)+100*23.026=1,402.6\;mt$

3 0

3 years ago

The waitress and the hostess at a restaurant share the tips at the end of the shift. The average amount earned in tips between t

Lynna [10]

Ratio of Waitress to hostess money = 45/30 = 3/2

So, the ratio of waitress earning to total earning = 3/5

If they earn 350, waitress will receive = 350 * 3/5 = 210

So, your final answer is $210

Hope this helps!

5 0

4 years ago

Read 2 more answers

I suck at probability. Please help :/

marta [7]

You could say the probability of not rolling a three is 5/6, because there are six possible outcomes (getting a 1, 2, 3, 4, 5, or a 6), and there are five other numbers besides three, making the probability of not getting a three 5/6.

4 0

4 years ago

Problem:

mestny [16]

Answer:

Can you redo the question

Step-by-step explanation:

The question doesn't make no since

3 0

3 years ago

Find the sum of the first six terms of a geometric progression .

Dominik [7]