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3 years ago

How do I solve this question? Which answers are correct?

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

The intervals apply to the x column. And f(x) is just a different way of saying y. So when y is greater than 0 on the chart, what is true about x. So far as I can tell, the second and last choices are correct.

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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

4 years ago

5 students want ice cream, 7 want a movie, 10 want a custom, and the rest are undecided. If 20% want ice cream how many students

Nataly [62]

There are 25 in the class

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3 years ago

What's the graph of y=3x-5

Svetach [21]

Answer:

Step-by-step explanation:

6 0

2 years ago

Write this number in scientific notation 0.000000358

Fittoniya [83]

Step-by-step explanation:

0.000000358 written as scientific notation is

$3.58 \times {10}^{ - 7}$

8 0

3 years ago

25x^2+40x+16=28 Ansa ASAP

Paha777 [63]

Solution:
1. Move all terms to one side
25{x}^{2}+40x+16-28=0 2. Simplify 25{x}^{2}+40x+16-28 to 25x2+40x−12
25{x}^{2}+40x-12=0 3. Apply the Quadratic Formulax=\frac{-40+20\sqrt{7}}{50},\frac{-40-20\sqrt{7}}{50}

 4. Simplify solutions
x=-\frac{2(2-\sqrt{7})}{5},-\frac{2(2+\sqrt{7})}{5} Done!

8 0

3 years ago