Answer:
dy/dx = 18x – 6
Step-by-step explanation:
y = (3x – 1)²
Take derivative using power rule and chain rule:
dy/dx = 2 (3x – 1) × 3
dy/dx = 6 (3x – 1)
dy/dx = 18x – 6
You can check this answer by simplifying y before taking the derivative.
y = 9x² – 6x + 1
dy/dx = 18x – 6
Answer: 91
Step-by-step explanation:
the equation to find the area of a trapezoid is as follows:
A = (a+b)/2h
So A = 6+20 which is 26
then you divide 26 by two which gives you 13, then multiply by 7
Answer:
The smallest power of 10 that will exceed
is
.
Step-by-step explanation:
We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:
, 
Where:
- Integer part, formed by a digit, which is of the highest order.
- Decimal part, formed by a digit onwards.
- Power grade.
The smallest power of 10 that will exceed M is 
If
, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of
in scientific notation is:

Then, the smallest power of 10 that will exceed
is
.
The inequality
gives the least number of buses, b, needed for the trip. The least number of buses is 9
<u>Solution:</u>
Given that, There are 412 students and 20 teachers taking buses on a trip to a museum.
Each bus can seat a maximum of 48.
We have to find which inequality gives the least number of buses, b, needed for the trip?
Now, there are 412 students and 20 teachers, so in total there are 412 + 20 = 432 travelers
<em><u>The number of buses required “b” is given as:</u></em>


Number of buses required ≥ 9 buses.
But least number will be 9 from the above inequality.
Hence, the inequality
gives least count of busses and least count is 9.
I think the answer would be the last one. a cylinder with radius 4 units.