Answer:
1. 144 2. 16 3. 1 4. 3x-6
Step-by-step explanation:
So think of this as a function in a function. So you work from the inside to the outside. So for problem 1, we start with f(4)) [you read it "f of 4"] so what is the solution when x = 4, since f(x) means the function of x so f(4) means 'the function of 4' inside f(x).
Since f(x) = 3x then f(4) = 3(4) [notice how you substitute the 4 everywhere you see a letter x]
so f(4) = 12, now you work the next part h(f(4)) since f(4)=12 then h(12)
So take the h(x) function which is h(x) = 
then h(12) = 
so h(12) = 144
6 inches
6 1/14 inches
Since area is defined as length multiplied by width, this is a simple matter of division. I suspect this problem is more a matter of handling fractions, so to make things easier, convert the fractions to improper fractions in order to do the math, then convert to proper fractions after you've gotten the result. Since the area of each rectangle is 12 3/4, multiply 12 by 4 and then add 3 to get 51/4 as the area. Doing the same for the values 2 1/8 and 2 1/10 gives sizes of 17/8 and 21/10 for the widths respectively. So
51/4 / 17/8 = 51/4 * 8/17 = 408/68 = 6/1 = 6
51/4 / 21/10 = 51/4 * 10/21 = 510/84 = 85/14 = 6 1/14
Answer:
x = 10
Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)
Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)
This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions
Hope this helps :)
Answer:
20.508%
Step-by-step explanation:
1/2 chance for one free throw.
1/2*4/10=4/20=1/5
Therefore, 20.508%
Answer: 4
Step-by-step explanation:
(16/100) × 25
= 4
Therefore, 16% of 25 litres is 4 litres.
