I believe it is 3.75 miles. 5 2/5=5.4 and 1 11/25=1.44. 5.4/1.44=3.75.
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
formula: 2πrh
Step-by-step explanation:
2πrh= 2×π×4×5≈125.66371
1) 4/(1/5)
=4 ÷ 1/5
to divide fractions, multiply by the reciprocal/inverse of 1/5
=4 * 5/1
=20
4) (7/9)/7
=7/9 ÷ 7
to divide fractions, multiply by the reciprocal/inverse of 7
=7/9 * 1/7
multiply numerators; multiply denominators
=(7*1)/(9*7)
=7/63
simplify by 7
=1/9
7) (9/10)/6
= 9/10 ÷ 6
to divide fractions, multiply by the reciprocal/inverse of 6
= 9/10 * 1/6
multiply numerators; multiply denominators
= (9*1)/(10*6)
= 9/60
simplify by 3
= 3/20
ANSWER: 1) 20; 4) 1/9; 7) 3/20
Hope this helps! :)
Answer:
Diverge
Step-by-step explanation:
(a)
1st year: 
2nd year: 
3rd year: 
4th year: 
5th year: 
(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.