Answer:
Step-by-step explanation:
This equation is solved if one of the following 2 conditions is met
1.
- (x² + 1) / 10 is between 1 and 2
and
- 10 / (x² + 1) is between 0 and 1
<u>Solve this:</u>
- 1 < (x² + 1) / 10 < 2
- 10 < x² + 1 < 20
- 9 < x² < 19
- 3 < |x| < √19
- x ∈ (- √19, - 3) ∪ (3, √19)
- 0 < 10 / (x² + 1) < 1
- x² + 1 > 10
- x² > 9
- |x| > 3
Solution for this case is x ∈ (- √19, - 3) ∪ (3, √19)
2.
- (x² + 1) / 10 is between 0 and 1
and
- 10 / (x² + 1) is between 1 and 2
<u>Solve this:</u>
- 0 < (x² + 1) / 10 < 1
- 0 < x² + 1 < 10
- - 1 < x² < 9
- 0 ≤ |x| < 3
- x ∈ ( - 3, 3)
- 1 < 10 / (x² + 1) < 2
- x² + 1 < 10 ⇒ x² < 9 ⇒ |x| < 3
- x² + 1 > 5 ⇒ x² > 5 ⇒ |x| > √5
Solution for this case is x ∈ (- 3, - √5) ∪ (√5, 3)
Answer:
1.) a= √50
2.) a = (10√3)/3
3.) a = 6
4.) a =√5
5.) a = (3√2)/2
6.) a =2
7.) a=12
8.) a= 3√3
9.) a= 6√2
10.) a= 2√3
11.) a= 2√2
12.) a=8
Step-by-step explanation:
30-60-90 triangles
hypotenuse = 2(short leg)
short leg = 1/2(hypotenuse)
long leg = short leg(√3)
short leg = long leg/√3
45-45-90 triangles
hypotneuse = leg(√2)
Answer:
D. Continue cutting smaller and smaller slices.
Answer:
The total investment is $5020.19
Step-by-step explanation:
Given : $2150 invested at 5.3% for 16 years and compounded continuously
To find : What is the total investment?
Solution :
The formula of continuously compounded interest is
Where A = amount invested
P = principal = $2150
e = Euler's number (on calculator)
r = interest rate as decimal = 5.3%=0.053
t = time in years = 16 years
Substitute the value in the formula,
Therefore, Option 4 is correct.
The total investment is $5020.19.
Answer: A is the answer
Step-by-step explanation:
