Answer:
1. The Hypothesis is "If lines are perpendicular" 2. This Is a Compound Statement 3. This is a Conditional Statement
Step-by-step explanation:
I just did this and It showed me the answers
Correct question:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.
Answer: 2 hours
Step-by-step explanation:
Everyday Kim practices volleyball and clarinet = v/ball + clarinet
Everyday volleyball practice = 2.5hours
That is clarinet(hours) + 2.5 hours of volleyball
After 8 day, total practice hours of both volleyball and clarinet equals 36 hours
The above information can be represented mathematically as thus:
Let h = hours per day of clarinet
8(h + 2.5) = 36
8h + 20 = 36
8h = 36 - 20
8h = 16
h = 16/8
h = 2
Answer: $244.83
Step-by-step explanation:
First find the original amount spent on dvds:
$12.95 * 4 = $51.80
Then, the sales tax (6.5% is converted to decimal form by dividing by 100):
$51.80 * 0.065 = $3.367
Add the sales tax to the original amount to get the total amount spent:
$51.80 + $3.367 = $55.167
Round to the nearest hundredth:
$55.167 -> $55.17
Subtract the total amount from the money received for his birthday:
$300 - $55.17 = $244.83
Answer:

Step-by-step explanation:
We have been given that

We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes - 

And g(x) can be written as

Thus, we have

On cancelling the common factors, we get


Change the mixed fractions to improper fractions.
To do this, multiply the whole number part by the denominator. Add that to the numerator. Then write the result on top of the denominator.
You would now have:

Change the division sign to a multiplication sign by turning the second fraction upside down.
That is,

The answer is:

This can be simplified to: