Answer:
x=95
Step-by-step explanation:
Angles on a line add to 180. Therefore, finding
180=85+x
Will result in the correct answer. Also, solving
180=35+2x
for x will get you 95.
Answer:
9
√
2
Step-by-step explanation:
1. Rewrite 162 as ⋅2
2. factor 81 out of 162
3. Rewrite 81 as
4. Pull the terms from under the radical
I hope this helps :)
The value of L4 and R4 over [0,7] for the function f(x) = 6x² will be 2[2√0 + 2√2 + 2√4 + 2√6] and 2[2√2 + 2√4 + 2√6 + 2√8] respectively.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is,
I'm assuming that you mean the left and right Riemann sums with four equal subintervals when you refer to L4 and R4.
If so, then Δx = (8-0)/4 = 2, and f(x) = 2√x.
L4 = f(0)Δx + f(2)Δx + f(4)Δx + f(6)Δx
L4 =2[2√0 + 2√2 + 2√4 + 2√6]
R4 = 2[2√2 + 2√4 + 2√6 + 2√8]
Thus, the value of L4 and R4 over [0,7] for the function f(x) = 6x² will be 2[2√0 + 2√2 + 2√4 + 2√6] and 2[2√2 + 2√4 + 2√6 + 2√8] respectively.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Answer:
Step-by-step explanation:
4% of $2500 is 100. So, each year he earns $100 from interest, which means 100(interest) * 5(years) = 500.
I hope this helps! Have a nice day and please mark me as brainliest!!
~abelxoconda
Answer:
1m 54cm
Step-by-step explanation:
10 students at 1m 40cm
15 students at 1m 58cm
13 students at 1m 60cm
Keep in mind that ratio between cm to m is 1cm/0.01m.
So let find the average by converting cm to m first for the 38 students.
10 students: 1m + (40cm)(0.01m/1cm) => 1.4 m
15 students: 1m + 58cm(0.01m/1cm) => 1.58 m
13 students: 1m 60cm(0.01m/1cm) => 1.60 m
so the average is weighted:
(10*1.4 +15*1.58 + 13(1.6))/38
Therefore the average model height is 1.54 m or 1m 54cm