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3 years ago

Find a coterminal angle to -180 degrees.

Mathematics

1 answer:

maw [93]3 years ago

4 0

Answer:

540 degrees

Step-by-step explanation:

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9f^2–10– 1+2f^2+ – 7f^2<br><br> (NO LINKS)<br> (LINKS WILL BE REPORTED)

In-s [12.5K]

Answer:

4f² - 11

Step-by-step explanation:

first group the like terms

9f²-2f²-7f² is all like terms

-10-1 are like terms

9f²-2f²-7f² -10-1

4f² - 11

5 0

2 years ago

If we inspect photocopy paper by randomly drawing 5 sheets without replacement from every pack of 500, what is the probability o

earnstyle [38]

Answer:

98.01% probability of getting 5 clean sheets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order that the sheets are chosen is not important, so we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

0.4% of the sheets contain spots

Of 500, that is 0.004*500 = 2.

What is the probability of getting 5 clean sheets although 0.4% of the sheets contain spots?

Desired outcomes

2 are defective, so 5 sheets from a set of 500 - 2 = 498.

$D = C_{498,5} = \frac{498!}{5!493!} = 250160254344$

Total outcomes

5 sheets from a set of 500.

$T = C_{500,5} = \frac{500!}{5!495!} = 255244687600$

Probability:

$P = \frac{D}{T} = \frac{250160254344}{255244687600} = 0.9801$

98.01% probability of getting 5 clean sheets

7 0

3 years ago

How to find how long it will take a rocket to reach a maximum height

Anton [14]

Answer:

the rocket will reach its maximum height after 4 seconds.

Step-by-step explanation:

The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4.

5 0

2 years ago

Nelly owns farm land that has an area of 4.2 × 102 acres. Each year, the farm produces 6.72 × 104 bushels of corn. What is the a

juin [17]

The average amount of corn produced per acre represented in scientific notation can be found using the below formula:

$The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres}$

We are given:

$Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\; \times \; 10^4 \; bushels$

Substituting the above information in the formula, we get...

$The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\; 1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2\\ \\$

Conclusion:

$The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn$

The average amount of corn produced per acre represented in scientific notation is option B) $1.6 \times 10^2$ bushels per acre

5 0

3 years ago

Read 2 more answers

Which of the following is most likely the next step in the series?

Serggg [28]

Answer:

the answer is D

Step-by-step explanation:

the color changes aswell in the sequence

5 0

3 years ago

Read 2 more answers