Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
⇔
and
= 1
Substitute the values of x into 
x = 0 →
= 1 ⇒ a = 1
x = 2 →
=
=
, hence
b = 
x = 4 →
=
=
, hence
c = 
Answer:
The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as
* (morality of solution)
and
are the freezing points of the pure solvent (water, 0°C) and
= freezing point depression constant of water. Therefore,
*(0.859 m)
=====> (0°C) – (3.00°C) = 
=====> -3.00°C =
Ignore the negative sign (since
is positive) and get
= (3.00°C) / (0.859 m) = 3.492°C/m
The freezing point depression constant of the solvent is 3.5°C kg/mole
3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).
Answer:
B) -2 degrees
Step-by-step explanation:
If the temperature went down 10 degrees the equation you need to use is 8-10=x.
Once simplified/solved you will get -2
Answer:
n=97
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution

We know that the margin of error for a confidence interval is given by:
(1)
The next step would be find the value of
,
and 
Using the normal standard table, excel or a calculator we see that:

If we solve for n from formula (1) we got:


And we have everything to replace into the formula:

And if we round up the answer we see that the value of n to ensure the margin of error required
is n=97.
Answer:
The solution is ( 1/2 , 5)
Step-by-step explanation:
∵ 8x + 7y = 39 ⇒ (1)
∵ 4x - 14y = -68 ⇒ (2)
Multiply (1) by 2
16x + 14y = 78 ⇒ (3)
Add (2) and (3)
∴ 20x = 10 ⇒ x = 10 ÷ 20 = 1/2
∴ x = 1/2
By substitute in (1)
8(1/2) + 7y = 39 ⇒ 7y = 39 - 4 = 35 ⇒ y = 35 ÷ 7 = 5
∴ y = 5
∴ The solution is ( 1/2 , 5)
To check:
8(1/2) + 7(5) = 4 + 35 = 39 = R.H.S
4(1/2) - 14(5) = 2 - 70 = -68 = R.H.S