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Mrrafil [7]
2 years ago
12

Apply the distributive property to the following problems: a. 10a(a 2+ 3) =

Mathematics
1 answer:
ladessa [460]2 years ago
7 0

Answer:

50 a²

hope it helps luv

good luck

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A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
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svlad2 [7]

Answer:

Is there an image?

Step-by-step explanation:

7 0
3 years ago
Choose as many answers as apply.
alexandr1967 [171]

Answer:

  • multiplying a multi-digit number by itself several times (finding the power of a number)
  • finding a square root
  • statistical calculations

Step-by-step explanation:

We don't know what your introduction tells you, but the above-listed operations are ones I choose to use a calculator for. I also use a calculator for ordinary arithmetic, such as division by numbers with 2 digits or more. (It is simply faster and requires no scratch paper.)

If statistical calculations are not done with a calculator, they at least require the availability of suitable tables.

___

All of these operations can be done by hand without a calculator, and were in times passed. Lifetimes of effort were involved in generating some of the original math tables for statistics, trig, logarithms, and other functions readily evaluated using a modern calculator.

3 0
3 years ago
When a number is increased by 2.8%, the result is 56. What is the original number to
Sever21 [200]

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

56 \div 1.028 = 54.47

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

6 0
3 years ago
Please help me with this question! i will give brainiest if correct! (if you show me how to lol i have no idea how)
Nitella [24]

Answer:

  • y(2x² + y) / x(5y² - 6x)

Step-by-step explanation:

<u>Simplify the numerator:</u>

  • 1/x² + 2/y =
  • y/(x²y) + 2x²/(x²y) =
  • (2x² + y)/(x²y)

<u>Simplify the denominator:</u>

  • 5/x - 6/y² =
  • 5y²/(xy²) - 6x/(xy²) =
  • (5y² - 6x) / (xy²)

<u>Simplify the fraction:</u>

  • (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
  • (2x² + y)/(x²y) × xy² / (5y² - 6x) =
  • y(2x² + y) / x(5y² - 6x)
7 0
3 years ago
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