Answer:
x = ln (33)
------------
3 ln (2)
Step-by-step explanation:
2 ^ (3x) = 33
Take the ln of each side
ln ( 2 ^ (3x)) = ln 33
We know ln ( a^b) = b ln a
3x ln (2) = ln 33
3x = ln 33
------------
ln 2
Divide each side by 3
x = ln (33)
------------
3 ln (2)
Answer: The wheel make 315 complete revolutions in one minute
Step-by-step explanation: Given speed of convertible =45 miles/hr
To answer this question you will need to know how many inches the car travels Per minute.
1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.
The convertible travels 0.75 mi./min.
2. Next you will convert this number of miles to inches.
There are 63,360 inches per mile.
0.75 x 63360 = 47520 inches per minute.
3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.
C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.
4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.
47520/150.72 is about 315.3 rotations per minute.
Answer: 2.5 or 2 1/2
Step-by-step explanation:
You can convert the mixed fractions to decimal numbers:
- Divide the numerator by the denominator of the fraction.
- Add the result to the whole number.
Thenyou have:
Barbara's time: 
Donna's time: 
Cindy's time: 
Nicole's time: 
As you can see, the fastest girl is Cindy and the slowest girl is Nicole.
Then, you must make the following subtraction to calculate the difference:
or 2 1/2
Answer:
Supplementary
Step-by-step explanation:
84 plus 96 equals 180 degrees
supplementary angles are angles that add up to 180 so their relationship is supplementary
Answer:
GCF = 17
Step-by-step explanation:
For the values 34, 85
Solution by Factorization:
The factors of 34 are: 1, 2, 17, 34
The factors of 85 are: 1, 5, 17, 85
Then the greatest common factor is 17.
