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3 years ago

Give me the slope of the graph with the process

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

Answer:

Step-by-step explanation:

It goes up by 2 and across by 1

put as fraction rise/run

2/1 = 2

so slope is 2

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Because of their small size, the sea lion pups are more vulnerable to changes in their environment and are less able to adapt to

Wittaler [7]

? Whats the question? This is a statement??

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3 years ago

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

3 years ago

a room has a length of 11 ft if the room has an area of at least 133 ft what does the width of the room have to be at least

MissTica

Area is the length times the width.

When you know the area and one of the dimensions, divide the area by the known dimension to find the other one.

133 / 11 = 12.09

The room needs to be at least 12.09 feet wide. ( round answer if needed).

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3 years ago

A hyena runs 2 kilometers for every 25 kilometer a mouse runs. Select from the drop-down menu to correctly complete the statemen

NARA [144]

Answer:

make a chart to see the difference between the two animals

5 0

2 years ago

Read 2 more answers

If h(x) = │5x - 17│, find h(3).

arsen [322]

Answer:

Step-by-step explanation:

5x - 17

5(3) - 17 = 15 - 17 = -2

However, there is an absolute value sign over the expression. Abs value makes negatives turn positive. So -2 becomes 2.

7 0

3 years ago