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3 years ago

Help this is due tomorrow

Mathematics

1 answer:

natali 33 [55]3 years ago

7 0

C 5/3 is the answer so it’s

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Determine the axis of symmetry and the vertex of the given function. y = 2x2 − 12x + 21 Axis of symmetry: x = Vertex: ( , )

Varvara68 [4.7K]

The vertex is (3,3) and the axis is 3

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4 years ago

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Which value makes the equation 3x - 6 = 36 true?

steposvetlana [31]

Answer:

C) 14

Step-by-step explanation:

3x-6=36

3x=36+6

3x=42

x=42/3

x=14

3 0

2 years ago

56<br> х<br> 52<br> Can someone help ?

lions [1.4K]

The answer is =2,912

Step-by-step explanation:

56×52

=2,912

3 0

3 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

I am in middle school

Svetlanka [38]

Answer:x $\geq$ 35/2

Step-by-step explanation:

4x-5 $\geq$ 65

4x-5+5 $\geq$ 65+5

4x $\geq$ 70

4x/4 $\geq$ 70/4

x $\geq$ 35/2

8 0

3 years ago

Help this is due tomorrow​

Help this is due tomorrow