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3 years ago

I NEED HELP PLEASE I WILL MARK!!!!

Mathematics

1 answer:

WINSTONCH [101]3 years ago

8 0

Answer:

_3/4/_2/3 the first one i hope u will mark me brai list

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Boiling water, at 100 degrees Celsius, is placed in a freezer at 0 degrees Celsius. The temperature of the water is 50 degrees C

Brut [27]

Answer:

The temperature of the water after 96 minutes is $6.25^oC$

Step-by-step explanation:

we know that

Newton's Law of Cooling states that the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature

$[T(t) - T_{a}] = [T(0) - T_{a}] e^{-kt}$

where

T(t) ----> is the temperature of the water at time t

T_a ---> is the ambient temperature (temp of the freezer)

T(0) ---> is the initial temperature of the water

k ---> is the cooling constant

we have

$T(0)=100^oC$

$T_a=0^oC$

$T_2_4=50^oC$ ----> Temperature of the water at time 24 minutes

$T_9_6=?^oC$ ----> Temperature of the water at time 96 minutes

step 1

Find the value of k

substitute the given values

$[50 - 0] = [100 - 0}] e^{-k(24)}$

$0.5=e^{-k(24)}$

Applying ln both sides

$ln(0.5)=ln(e^{-k(24)})$

$ln(0.5)=-24k\\k=0.02888$

step 2

Determine $T_9_6$ (Temperature of the water at time 96 minutes)

$[T_9_6 - T_{a}] = [T(0) - T_{a}] e^{-kt}$

substitute the given values

$[T_9_6 - 0] = [100 - 0] e^{-0.02888*96}$

$T_9_6= [100] e^{-0.02888*96}$

$T_9_6= 6.25^oC$

3 0

3 years ago

Select the property of equality used to arrive at the conclusion If x= 3, then x2 = 3x

Luda [366]

You used the fact that you can multiply both sides of an equality by the same, non-zero constant.

So, if you start with the trivial equality

$x=x$

you can multiply both sides by 3:

$3x=3x$

But if $x=3$ , $3x$ becomes $3\cdot 3$ , which is $3^2$ . So, we have

$3^2=3\cdot 3$

which leads to

$x^2=3x$

if you recall that $x=3$

4 0

4 years ago

If triangle TKM is similar to Triangle DAJ whatis the measure of angle m

maks197457 [2]

M is the same as what j is

7 0

3 years ago

Answer the 5th and 6th one only please

rewona [7]

Answer:

5)i. 7/1

ii. -8/1

iii. 2/1

iv. 9/1

v.0/1

5)i.4

ii.-5

iii. -7

iv. 3

v. 5

Step-by-step explanation:

interger/1 = rational number (anyt that can be expressed as a fraction)

6 0

3 years ago

1. Cabrini goes out for dinner, and the price of her meal is $18. The sales tax on the meal is 6%, and she also wants to leave a

Daniel [21]

Answer:

19.64

Step-by-step explanation:

7 0

3 years ago