<u>Answer:
</u>
The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.
<u>
Solution:
</u>
Given that current population of city is 27900.
Also, population of a city has decreased by 38% since it was last measured.
Let assume that population of city when it was last measured = x
Decreased of 38% means x-38% of x . we can write this as,



So current population is 
Equating above expression to the given value of current population, we get


x=45000
Hence previous population of city was 45000.
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
<u>We know that the lines are parallel because it is given that:</u>
<u>Now, let's form an equation.</u>
<u>Let's solve!</u>
- => 10x + 10 = 180
- => 10x = 170
- => x = 17
Hence, the value of x is 17.

Answer:
f(6) = -14
Step-by-step explanation:
x = -6
f(x) = x^2/3 - 2
f(-6) = (-6)^2/3 -2 Replace x with the given number
= -36/3 - 2 Simplify -6 to the power of 2
= - 12 - 2 Divide -36 by 3
f(6) = - 14 Subtract -2 from -12
Answer:

Step-by-step explanation:
The formula you wrote has the fraction the other way around. You can find that the range of a projectile is in reality approximated by the equation
, where we will use ft for distances.
From the given equation we have then
, which means
since the arcsin is the inverse function of the sin.
Since we have x = 170 ft and v = 85 ft/s, we can substitute these values from the equation written, and we will have
, and from now on we have just to use a calculator, obtaining 
The small cup is the better deal, with the medium you get 4 more ounces but pay 15 cents an ounce with the small you pay 14 cents an ounce.