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2 years ago

What is the prime factorization of 28 and 50? Explain if possible.

Mathematics

2 answers:

Vedmedyk [2.9K]2 years ago

4 0

pls thats the answer have a nice day

dangina [55]2 years ago

3 0

Answer:

prime factorization of 28

28 = 2 × 2 × 7

prime factorization of 50

50 = 2 × 5 × 5

Step-by-step explanation:

GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2

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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

3 years ago

Divide. 5÷1/4 1/20 4/5 5/4 20

ziro4ka [17]

Answer:

20.

Step-by-step explanation:

That's the correct answer

7 0

2 years ago

Read 2 more answers

Find the quotient. 52.06 divided by 1.9

Grace [21]

Answer:

27.4

Step-by-step explanation:

First multiply the numerator and denominator by 10

Then write the problem in long division format

Then divide 52 by 19 and get 2

Then multiply the quotient digit (2) by the divisor 19

Then subtract 38 from 52

Then bring down the next number of the dividend

Then divide 140 by 19 to get 7

Then multiply the quotient digit (7) by the divisor 19

Then subtract 133 from 140

Then add a decimal point to the solution

Then bring down the next number of the dividend

Then divide 76 by 19 to get 4

Then multiply the quotient digit (4) by the divisor 19

Then subtract 76 from 76

The solution for long division for 52.06./1.9 is 27.4

27.4

7 0

3 years ago

Read 2 more answers

13. How many drinks are in a 2 oz martini made with 100 proof alcohol

pentagon [3]

Answer:

4 drinks.

Step-by-step explanation:

-One drink is defined as having one-half ounce of pure ethyl alcohol; each of the following is considered "one drink." *1 oz of 100 proof distilled spirits at 50% alcohol.

$Drinks=\frac{2oz}{0.5oz}\\\\=4$

Hence, 2 oz martine has 4 drinks

7 0

3 years ago

Find the diffrence between -2 and 7 on the number line

lozanna [386]

Answer:

9 units

Step-by-step explanation:

Calculate the absolute value of the difference, that is

| - 2 - 7 | = | - 9 | = 9 , or

| 7 - (- 2) | = | 9 | = 9

5 0

3 years ago