Me with math homework
1): a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. the diver is 200 feet below sea level. how deep was the diver 10 minutes ago?
2): if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?
3): josie has $47 left on her checking account. if she writes a check for $55 what will josie's balance be?
4): joe is playing a game with a regular die. if the number that turns up is even, he will gain 5 times the number that comes up. if it is odd, he will lose 10 times the number that comes up. he tosses a 3 express the results as an integer.
5): it will be -12 tonight. the weatherman predicts it will be 25 warmer by noon tomorrow. what will the temperature be by noon tomorrow?
6): the average temperature at the south pole is -45 f. the average temperature on the equator is 92 f. how much warmer is the average temperature on the equator than at the south pole?
7): felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 c. what was the temperature of the coldest day on record in felix's town?
8): the elevation of mt. everest is 29,028 feet. the elevation of the dead sea is -485 feet. what is the difference in the elevation between mt. everest and the dead sea?

These are 8 questions and 8 answers.

Question 1) a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?

450 feet below see level ( -450 feet)

Explanation:

i) pulling up rate: 25 feet / minute

ii) number of feet ascended

iii) number of feet ascended in 10 minutes: 25 feet / minute × 10 minutes = 250 feet

iv) current deep: - 200 feet

v) deep 10 minutes ago: -200 feet - 250 feet = - 450 feet. Which means 450 feet below sea level.

Question2) if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?

- 12 (12 below zero)

Explanation:

i) Future temperaure = current temperature - decrease in temperature

ii) Future temperature = 5 - 17 = - 12, which means 12 below zero

Question3) Josie has $47 left on her checking account. If she writes a check for $55 what will Josie's balance be?

- $ 8 (she will owe 8$)

i) Balance = current balance - new checks

ii) Balance = $ 47 - $ 55 = - $8 (she will owe $ 8)

Question 4) Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3 express the results as an integer.

he will lose 30.

Explanation:

i) 3 is odd

ii) 1Therefore, the result is that he will lose 10 times the number that comes up

⇒ Loss = 10 × 3 = 30

Question 5) it will be -12 tonight. The weatherman predicts it will be 25 warmer by noon tomorrow. What will the temperature be by noon tomorrow?

13

Explanation:

i) Current temperature: - 12

ii) Change foreseen: + 25 (increase)

iii) Foreseen temperature = - 12 + 25 = 13

Question 6) the average temperature at the South Pole is -45 F. The average temperature on the equator is 92 F. How much warmer is the average temperature on the equator than at the South Pole?

137 F

Explanation:

i) Temperature at the South Pole = - 45F

ii) Temperature on the Equator = 92 F

iii) Difference in temperature = temperature on the Equator - temperature and the South Pole

iv) Difference in temperature = 92F - (-45F) = 92F + 45F = 137F

Remember the law of signs: ( - ) × ( - ) = +

∴ It is 137F warmer on the Equator than at the South Pole.

Question 7) Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 c. What was the temperature of the coldest day on record in Felix's town?

- 20C

Explanation:

i) Yesterday's temperature = - 4°C

ii) Coldest day's temperature = 5 × (-4C) = - 20C

Conclusion: the coldest day's temperature is -20°.

Question 8) the elevation of mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between mt. Everest and the Dead Sea?

29,513 feet

Explanation:

i) Elevation of Mt Everest = 29,028 feet

ii) Elevation of the Dead Sea = - 485 feet

iii) Difference in the elevation = Elevation of Mt Everest - elevation of the Dead Sea

iv) Difference in the elevation = 29,028 feet - ( - 485 feet) = 29,028 feet + 485 feet = 29,513 feet.

Remember the law of the signs: ( - ) × ( - ) = +

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

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