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2 years ago

The area of the rectangular room is 34 square feet. Which statement best describes the width of the room?

Mathematics

1 answer:

Sveta_85 [38]2 years ago

5 0

Answer: the width of the room is 15 feet less than the length of the room

Step-by-step explanation:

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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

3 years ago

How to solve Y = eight, X =2 and direct variation

rodikova [14]

Answer:

The answer is k = 4.

Step-by-step explanation:

Given:

Y = 8 and X = 2.

Now, to solve direct variation.

$y$ direct with $x$ .

Now, using equation to solve direct variation:

$y=kx$

$8=k\times 2$

Dividing both sides by 2 we get:

$4=k$ .

Therefore, the answer is k = 4.

5 0

3 years ago

Rewrite the expression using GCF and distributive property. 64x-24

Ede4ka [16]

The greatest common factor between 64 and 24 is 8

Let's divide both terms in the expression by 8 and leave the expression in parenthesis...

Like this!

64x -24

$\frac{64x}{8} - \frac{24}{8}$

8x - 3

Leave 8 we divided outside the parenthesis

Now we have this!

8( 8x - 3)

This is the distributive property form!

4 0

2 years ago

Read 2 more answers

Please help me I appreciate it. "The greatest good is what we do for another" - Mother Teresa

kakasveta [241]

Answer:

1/6 or 1 out of 6

Step-by-step explanation:

In total there are 6 different thingthings it could land on.

Out of the 6 there is 1 chance of getting red heads.

3 0

1 year ago

The teacher has 5 cups or broth to share amoung 4 students. draw a model and explain your answer.

Mama L [17]

Answer:

1.25,but your teacher is prolly looking for a fraction so 1 1/4

Step-by-step explanation:

DO NOT PUT 20 THAT PERSON S WRONG

3 0

2 years ago