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3 years ago

Which expressions are polynomials? Select each correct answer. x2−x√+2 2 + s 4x³ + y

Mathematics

1 answer:

katen-ka-za [31]3 years ago

7 0

Answer:

Answers are

2+s

4x^3+y

Step-by-step explanation:

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At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
$T(t) = (T_0 - T_A)e^{-kt} +T_A$
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
$42 = (80-20)e^{-3k} +20 \\ \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\ \\ k = -\frac{1}{3} ln (\frac{11}{30})$

Substituting k back into cooling equation gives:
$T(t) = 60(\frac{11}{30})^{t/3} + 20$

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
$-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20$
Solve for t:
$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM

8 0

4 years ago

A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation.

GalinKa [24]

Answer: 7

Step-by-step explanation: You first distribute 3, and -2. This gets you 7 = 3t -3 -2t +3. Then you add like terms which gets you, 7 = t.

3 0

3 years ago

What is the missing value to the equation -3x + 7y = 5x + 2y

Rainbow [258]

Answer:

x = 0

Step-by-step explanation:simplified is 8x-5y=0

5 0

4 years ago

What’s the equivalent of 50000

dezoksy [38]

Is this for money? Do you want an equivalent fraction? Please be more specific, but I'll imply a couple of options.

FOR MONEY:

50,000 euros is 55142.50 dollars

50,000 dollars is 45337.08 euros

Is 50,000 US dollars a good salary? In my opinion, yes. If you are a single person, and you work an office job from 9 to 5, then yes, that is a good salary.

MATH/NUMBERS:

50,000 = 100,000 ÷ 2

50,000 = 200,000 ÷ 4

50,000 = 25,000 × 2

50,000 = 12,500 × 4

There are other examples that could be used for both money and math, but I would not be able/do not have the time to list them all.

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I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

5 0

4 years ago

A bookstore had 45 copies of a magazine. Yesterday, it sold 2/3 of them. Today, it sold 1/3 of what remained. How many copies do

Ket [755]

After the first day, 1/3 of the original amount remained:

... (1/3)·45 = 15

After the second day, 2/3 of that amount remained:

... (2/3)·15 = 10

The bookstore has 10 copies left.

6 0

4 years ago

Which expressions are polynomials? Select each correct answer. x2−x√+2 2 + s 4x³ + y​

Which expressions are polynomials? Select each correct answer. x2−x√+2 2 + s 4x³ + y