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3 years ago

Plz, Help me with this question.

Mathematics

2 answers:

mamaluj [8]3 years ago

8 0

Answer:

the answer is 9

Step-by-step explanation: you subtract the two and get ur answer

gayaneshka [121]3 years ago

7 0

The GCF of 27 and 72 is 9 / The 3rd option!

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42 is 64% of what number

steposvetlana [31]

Answer: x = 65.63
Explanation:
We have, 64% × x = 42 or, 64/100 × x = 42
Multiplying both sides by 100 and dividing both sides by 64, we have x = 42 × 100 64
x = 65.63

4 0

3 years ago

Read 2 more answers

A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5

gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5 minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0

3 years ago

Find the radius of each circle if the area of the sector is 12

lbvjy [14]

Root: A/2 is the equation
your answer is 1.38

5 0

4 years ago

Set up the formula to find the balance after 8 years for a total of $12,000 invested at an annual

Natasha2012 [34]

Answer:

A = 12000(1.0002466)²⁹²⁰

Step-by-step explanation:

The formula for the amount after compound interest is: $A = P(1 + i)^{n}$

"A" is the amount, or balance.

"P" is the principal, or starting amount/investment.

"i" is the interest rate for each compounding period.

"n" is the number of compounding periods.

The interest rate each compounding period, "i", is calculated with i=r/c

"r" is the annual interest rate in decimal form.

"c" is the compounding frequency. (If compounded annually, c=1. If monthly, c=12.)

The number of compounding periods, "n", is calculated with n=tc.

"t" is the time in years.

"c" is the compounding frequency.

In this problem:

t = 8

P = 12,000

r = 9%, or r = 0.09 for decimal form.

c = 365

Calculate "i" and "n".

i = r/c

i = 0.09/365

i = 0.00024657534

i ≈ 0.0002466

n = tc

n = 8(365)

n = 2920

Substitute these back into the formula:

A = P(1 + i)ⁿ

A = 12000(1+0.0002466)²⁹²⁰

A = 12000(1.0002466)²⁹²⁰

7 0

3 years ago

A computer simulation tossed a 10 faced die 5 times. How many possible outcomes

bulgar [2K]

Answer:

Step-by-step explanation:

10x5=50

8 0

3 years ago