Morgan won $2,315 at a work raffle. They deposited $1898.30

Mathematics

1 answer:

Galina-37 [17]3 years ago

4 0

Answer: 82%

Explanation:

1898.3/2315 x 100
0.82 x 100 = 82%

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After heating up in a teapot, a cup of hot water is poured at a temperature of

xxTIMURxx [149]

Answer:

k ≈ 0.060
T(4) ≈ 178 °F

Step-by-step explanation:

The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.

<h3>Given:</h3>

$T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)$

T(4)

<h3>Solution:</h3>

Filling in the given numbers, we have ...

185 = 68 +(208 -68)e^(-k·3)

117/140 = e^(-3k) . . . . . subtract 68, divide by 140

ln(117/140) = -3k . . . . . . take natural logarithms

k = ln(117/140)/-3 ≈ 0.060

The temperature after 4 minutes is about ...

T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186

T(4) ≈ 178.205

After 4 minutes, the final temperature is about 178 °F.

3 0

3 years ago

GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael

Shkiper50 [21]

Answer:
20

Explanation:
For the mean to be 21, the total of the 5 numbers must be 21*5= 105

To find what the final quiz score must be, we need to subtract the first 4 scores from 105. 105- 21- 24- 23- 17= 20

We can check this answer by finding the median of the 5 numbers now (17,20,21,24,23). The new median is 21 which means the final quiz score must be 20!

Hope this helped! :)

3 0

2 years ago

Three less than the quotient of a number and 6 exceeds 1. What are the possible values? (Answer the first part.)

Artyom0805 [142]

The inequality would be n/6 - 3 >/ 1. First, you would add 3 to both sides, leaving you with n/6 >/ 4. After that, you would just multiply 6 by 4 to get 24 as your answer.

7 0

4 years ago

Expand this expression and combine like terms 1/3(x-9)

Tatiana [17]

Answer:

x/3 - 3

Step-by-step explanation:

⅓(x - 9)

⅓(x) - ⅓(9)

x/3 - 3

No like terms

5 0