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2 years ago

Chelsea needs 16 ounces of milk for a recipe. She only has a 1/4-measuring

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

3 0

Answer:

She will need to fill it eight times

Step-by-step explanation:

There are 8 ounces in one cup. So, 16 ounces is equal to two cups.

Multiply 2 by 4 to get the answer

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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

Monster wants to change the shape of its can to the shape of a Red Bull can. If both cans can still hold 12 oz. And you want the

masha68 [24]

Hello,

Using V = (pi)(r)^2(h) :
V = 12
r = ?
h = 8
12 = (pi)(r)^2(8)
12/(8pi) = r^2
sqrt(12/8pi) = sqrt(r^2)
r = .69 in

Good luck to you!

3 0

2 years ago

|x|+5=18 a. 5 or -5 b.13 or -13 c.18 or -18 d.23 -23

dezoksy [38]

X+5=18
first get rid of the 5
so X+5-5=18-5
which makes X=13
if any questions please ask
$b. 13$

6 0

3 years ago

A box contains 9 green balls, 16 red balls, 9 white balls, and 6 pink balls. What is the probability of drawing a pink ball out

Viefleur [7K]

This is an example of "classical probability". Whenever the probability of all events is the same, then the probability is calculated by dividing the number of "favorable events" of total events.

For this problem, the total number of events is the total number of balls, it is 40. The number of favorable events it the number of pink balls, it is 6.

So, the answer is 6/40, which can be written as 3/20.

6 0

3 years ago

Another submarine descent can be represented as y= -240 x where y is the elevation and x is time in hours. How long will it take

Juli2301 [7.4K]

Answer:e

Step-by-step explanation:

The equation for the submarine is given as y =-240x

Where y is the distance of the descent

x is the time in hours

and -240 is the rate of distance per unit time

To calculate how long it will take this submarine to reach the descent

x = y /-240

8 0

3 years ago