This problem represents a geometric sequence. Which is always:
a(n)=ar^n where a is the original term, r is the common ratio, and n is the number of terms.
In this case, we wish to know the minimum common ratio which will produce 750000 for the 7th term given that the first term a is you, one :) so we have the equation...
a(n)=r^n using 750000 for a(7) and 7 for n...
750000=r^7 taking the natural log of both sides...
ln(750000)=7(lnr)
lnr=ln(750000)/7
r=e^(ln(750000)/7)
r=6.91 since r must be an integer for this particular problem r=7
So our equation was:
a(7)=7^7=823543
note if we only shared with 6 originally you would fall very short...
a(6)=6^7=279936
We know derrick walks 145 m/min to get the other we simply divide how far they went in how much time
Tomas: 1200/8= 150 m/min
Becky: 1400/10= 140m/min
therefore Tomas is the fastest walker so we will write the equation based on his speed
y = 150x
you should start at the origin (0,0) and got up 150 meters for and over 1 for every minute they run!
Answer:
(-0.75, 0.5)
or in fractions:
(-3/4, 1/2)
Step-by-step explanation:
Let x = your number.
5x = x^2 - 14. To figure out the number, we have to first subtract 5x from each side.
0 = x^2 - 5x - 14. Factor.
0 = (x - 7) (x + 2). Set both terms to 0.
(x - 7) = 0. Add 7 to each side.
x = 7. You're looking for the negative value so this isnt the right one.
Set the other term (x + 2) equal to 0
(x + 2) = 0. Subtract 2 from each side.
x = -2
The negative solution for your number is -2
we are given
In a scale
125 feet represents 0.125 inches
so, we can write as
125 feet = 0.125 inches
since, we need to find for 1 feet
so, we can divide both sides by 125 to get 1 on left side
so,
1 feet represents 0.001 inches
so, option-A..........Answer
