Step-by-step explanation:
square of x is x2
Inverse of square of x is 1 / x2
So the equation would be:
y = k / x2
where k is a proportionality constant.
To find the value of k, plug in the known values for x and y: x=3, y=45
45 = k / 32 = k / 9
k=405
Now you have the full equation with proportionality factor.
y = 405 / x2
then, for x=5:
y = 405 / 52 = 405 / 25
y = 16.2
The 2nd option is the answer :)!
Answer:
2.09 × 10¹⁰ pounds
Step-by-step explanation:
The American chemical industry produces more than 9.5 million metric tons of sodium carbonate.
in this problem we have to calculate the amount in pounds of sodium carbonate are produced annually.
so we will convert the amount of 9.5 million metric tons to pounds.
Since in 1 metric ton = 2204.62 pounds
Hence, 9,500,000 metric ton = 2204.62 × 9,500,000
= 20943890000 pounds
= 2.09 × 10¹⁰ pounds
2.09 × 10¹⁰ pounds of sodium carbonate are produced annually.
Answer:
78%
Step-by-step explanation:
Ok to solve this we can write this as
80 = 
We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%
Your grade is the average of all of your scores hence the divided by 5
We next multiply both sides of the equation by 5 to get
400 = 72+82+85+83+x
400= 322+ x
78 = x
He must get a 78% minimum on his next test to get 80%
Hope that helps!
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.
