Example P: I do my homework
P: I get my allowance
Answer:
222.7 cm³ of paper to wrap this.
Step-by-step explanation:
The rectangular prism is SA=2(wl+hl+hw)
Where:
w=5 l=5 h=4
SA= 2((5*5)+(4*5)+(4*5))
SA=2(25+20+20)
SA=2(65)=130cm³
The square base pyramid is
≈92.69578 cm³
Add the two together 130+92.70 =222.7 cm³
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)
Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d
Hence, the explicit formula is a(n) = 15(n – 10).
Answer: .0142%
Step-by-step explanation:
The linear equation that describes the pattern in the cost of renting a car is given by:
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:
When d = 4, c = 161, and this is used to find b.
Hence, the equation is c = 34d + 25, and option D is correct.
You can learn more about linear functions at brainly.com/question/25823744