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2 years ago

Somebody please help 9 through 16

Mathematics

1 answer:

MissTica2 years ago

8 0

Try to find the best domnatior and then do the mixed number then simplify

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PLEASE HELP!! I can't figure this out

9966 [12]

Answer:

how do i use this site im new

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

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

3 years ago

How do you convert 17 cmon minute to miles an hour

eimsori [14]

Answer:

0.006 miles per hour

Step-by-step explanation:

We are given;

Speed in cm per minute ( 17 cm per min)

We are required to convert cm per minute to miles an hour

we need to know that;

1 miles = 160934 cm

1 hour = 60 minutes

We can convert 17 cm to miles and 1 minute to hours

17 cm = 17 ÷ 160934 cm

= 17/160934

1 minute = 1/60 hour

Therefore;

In miles per hour;

= (17/160934) ÷ (1/60)

= 0.00634 miles per hour

= 0.006 miles per hour

Therefore, 17 cm per minute is equivalent to 0.006 miles per hour

4 0

2 years ago

Arrange the digits 1,2,3,4,5,6,7 so that when the numbers are added up, they will total 100.

GuDViN [60]

36 + 57 + 4 + 2 + 1 = 100 would do it.

6 0

3 years ago

state which basic Property of addition or multiplication justifies truth of the mathematical expressions 0+7y+2=7y+2

dlinn [17]

The given equation is:

0 + 7y + 2 = 7y + 2

This equation is showing that addition of 0 leaves the expression unchanged. 0 is known as the Additive Identity this means if we add or subtract 0 from any expression, number or equation the result won't be changed.

Therefore, the equation satisfied the property of Additive Identity of Real Numbers.

8 0

3 years ago