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3 years ago

[Good Reward]

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

See explaination

Step-by-step explanation:

To find the volume of a regular hexagonal prism, we can use the formula

V = 3ash,

where a = apothem length,

s = length of a side of the base, and h = height of the prism.

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the altitude is drawn from the vertex angle of an isosceles triangle and is 15 cm long, if the base of the triangle is 16 cm lon

erastovalidia [21]

They are about 400cm long just make sure u put that

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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

8 0

3 years ago

Which scatter plot shows the relationship

neonofarm [45]

Answer:

-0.04x +17.2

Step-by-step explanation:

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2 years ago

14a - (2a +9)=2/3 (12a-18)

Dmitrij [34]

Answer: a=-0.75

Step-by-step explanation:

14a - (2a +9)=2/3 (12a-18)

14a - 2a -9=2/3 * 6(2a-3)

12a-9=2*6/3 (2a-3)

12a-9=2*2(2a-3)

12a-9=4(2a-3)

12a-9=8a-12

4a-9=-12

4a=-3

a=-3/4

a=-0.75

3 0

1 year ago

Read 2 more answers

Ok can someone please help me? 15 pts

Citrus2011 [14]

Answer:

3.2

Step-by-step explanation:

12.8/4 which makes the answer 3.2

7 0

2 years ago