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3 years ago

A thermometer falls from a weather

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer:

It will take 22 seconds for the thermometer to hit the ground.

Step-by-step explanation:

A thermometer falls from a weather balloon at a height of 7,744 ft.

This means that the initial height is of 7744ft.

h(t) = -16t2 + initial height

$h(t) = -16t^2 + 7744$

How many seconds will it take for the thermometer to hit the ground?

This is t for which $h(t) = 0$ . So

$0 = -16t^2 + 7744$

$16t^2 = 0 + 7744$

$t^2 = \frac{7744}{16}$

$t = \sqrt{\frac{7744}{16}}$

$t = 22$

It will take 22 seconds for the thermometer to hit the ground.

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The following proportions were written on the board by Ms. Warren.

Elenna [48]

Answer:

see explanation

Step-by-step explanation:

given

$\frac{3.6}{5.7}$ = $\frac{f}{9.5}$ ( cross- multiply )

5.7f = 34.2 ( divide both sides by 5.7 )

f = 6

-----------------------------------------------------

given

$\frac{3.6}{5.7}$ = $\frac{16.2}{g}$ ( cross- multiply )

3.6g = 92.34 ( divide both sides by 3.6 )

g = 25.65

6 0

3 years ago

. There are 11 boys and 5 girls that tried out to

Lisa [10]

We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458

If we assume that the selection is totally random, then all the students have the same probability of being chosen.

This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:

P = 11/16

For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).

Q = 10/15

The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:

Probability = P*Q = (11/16)*(10/15) = 0.458

So the probability that both students chosen for the duet are boys is 0.458

If you want to learn more, you can read:

brainly.com/question/1349408

5 0

2 years ago

3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d

pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
$\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}$

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

$\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}$

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

$\displaystyle A = Pe^{rt}$

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

$\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}$

In conclusion, about $3692.47 should be deposited.

8 0

2 years ago

Can someone please help me with this question ASAP.It is due tommorrow.

ololo11 [35]

D. All irrational numbers are rational numbers.

I attached the diagram my teacher showed us when we learned about this. I think it makes it a lot less confusing.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

What is the solution to the inequality below

Butoxors [25]

Answer:

Hello! Your answer would be, A)x ≤ 10

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

4 0

3 years ago