Answer:
85%
Step-by-step explanation:
What I did here was multiply 34/40 by 100 to get 3400/40 or 85%.
The exponential function is
f(x)=ab^x, where b is the base, the number to multiply every time x is increased by 1.
If f(x)=92, f(x+4)=280, then
f(x+4)/f(x) = 280/92 = ab^(x+4)/(ab^x) = b^4
to find the base b,
b^4=(280/92)
b=(280/92)^(1/4) ..... fourth root, or take square-root twice
=3.4035^(1/4)
=1.3208 (accurate to 4 places of decimal).
Edit: 92*1.3208^4 gives 279.9858 (missing little bit because of accuracy).
A slightly better accuracy would be
base = 1.320816698856163
and 92*1.320816698856163^4 would still be 279.9999999999993, but VERY close to 280.
So it all depends on the accuracy you need.
If you need more accuracy, please tell me how many accurate digits you'd like the results.
Here it is:
base = 1.320816698856163713875997666455513013800337299231824403890097792042432005288739246325005446716740
and if you multiply together
92*base^4, you will get 280 accurate to at least 90 digits after the decimal.
I think that should be sufficient for what you need. Recall that these calculations cannot be done or verified on a 10 or 12 digit calculator.
Well, to please you, I have calculated it to 500 digits, don't think that's going to be of much practical use for anybody.
By the way, that's as far as I will do this evening. My eyes are almost closing!
base=1.3208166988561637138759976664555130138003372992318244038900977920424320052887392463250054467167408005624428737585147309981331510076693180633495574937759374668399829195521733208637815593771220504215429477168159456265024711237470736388371979840461777898466419772297172931568429339640964205400234392902077320257671263508487367942846685479533507498695981037274512050120058009244868634949261015429944340565311559486391625531554216085859773912355361847787636892603324966350039688974359584811585283183726532
Gained 9 yards, then lost 22:
9-22=c
-13=c
Therefore, the football team lost 13 yards in overall change in field position. Meaning, the team didn't gain any yards, they lost 13.
Answer:
AB, BD, DC, CA
Step-by-step explanation:
i hope it's right let me know
if it's wrong it's my fault
Answer:
The answer to your question is width = 3
Step-by-step explanation:
Data
width = w = ?
length = l = ?
Area = 15 units
Process
1.- Write equations to help to solve this problem
Area of a rectangle = width x length
= w x l Equation l
width = length - 2
w = l - 2 Equation ll
2.- Substitution
A = w x l
15 = (l - 2)(l)
3.- Expand
15 = l² - 2l
l² - 2l - 15 = 0
2.- Solve for l
-Find the prime factors of -15
15 3
5 5
1
15 = 3 x 5
3.- Factor l² -2l - 15 = 0
(l - 5)(l + 3) = 0
4.- Find the values of l
l₁ - 5 = 0 l₂ + 3 = 0
l₁ = 5 l₂ = -3
The length if the rectangle = 5, it could not be -3, because there are no negative lengths.
5.- Find w
w = l -2
w = 5 - 2
w = 3 units
