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3 years ago

15

Elton and bill share some millions of dollars between them Elton gets $6 million more than bill they shared the money in ratio 5

:3 how much did Elton get

1 answer:

cestrela7 [59]3 years ago

6 0

Answer:

15 million

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

3 years ago

Which of the following is a characteristic of the repeating shapes in a tessellation?A. Shapes cannot be regular polygons.B. Sha

Elden [556K]

Shapes cannot have spaces between them

7 0

4 years ago

Read 2 more answers

Which statement is true?

valentinak56 [21]

Answer:

|-3| = 3 and -|-4| = -4

Step-by-step explanation:

The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.

|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true

|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false

-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false

|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false

__

<em>Additional comment</em>

A compound "and" statement is only true if <u>all</u> of the parts of it are true.

8 0

2 years ago

Earth’s surface is approximately 70% water. There is no water on the surface of Mars, and its diameter is roughly

Pie

Answer:

Earth

Step-by-step explanation:

You don't need scientific notation.

The areas of similar figures are proportional to the square of their linear scale factor. If Mars is 1/2 the diameter of Earth, its total surface area is (1/2)² = 1/4 that of Earth.

That is, the land area of Mars is 25% of the total area of Earth.

The land area of Earth is 1-70% = 30% of the total area of Earth. 30% is more than 25%.

Earth has more land area than Mars.

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3 years ago

What is the volume of the rectangular prism?

Nataly_w [17]

Answer:

C. 72 cm^3

Step-by-step explanation:

Volume of rectangular prism is length times width times height

3 0

3 years ago

Read 2 more answers