The function f(x) = –x2 – 4x + 5 is shown on the graph.

Mathematics

1 answer:

Masja [62]2 years ago

6 0

I believe it’s The domain of the function is all real numbers less than or equal to -2

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It takes 5 hours for a boat to travel 25 miles upstream. The same boat can travel 30 miles downstream in 2 hours. Find the speed

loris [4]

Answer:

so 5 miles upstream and 15 miles downstream

Step-by-step explanation:

25/5=5

30/2=15

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2 years ago

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

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3 years ago

Solve for n in the proportion 7/3 = n/21.

erastova [34]

Given ,

7/3 = n/21

We need to find the value of n,

Cross multiplying,we get

3n = 21 x 7

=> 3n = 147

=> n = 147/3

=> n = 49 is the required answer

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7 months ago

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adelina 88 [10]

Answer:

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Step-by-step explanation:

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To solve 1/3 divided by 9 James thinks of dividing a loaf of bread

garri49 [273]

Answer:

it would be 0.3 with bar notation

Step-by-step explanation:

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3 years ago

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