Answer:
An=10^n + 1 is the expression for the nth term.
Next three terms:
100001
1000001
10000001
Step-by-step explanation:
The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...
So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.
Now let's find the formula:
A1=11=10+1
A2=101=100+1
A3=1001=1000+1
Notice we have increasing powers of 10 and then just adding 1.
A1=10^1 +1
A2=10^2 +1
A3=10^3 +1
....
An=10^n +1
Answer:
=
, so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.
Step-by-step explanation:
The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,
, and
gives
=
,
Answer:
4 hours
Step-by-step explanation:
2×6=3x
12÷3= 4
x=4 so 4 hours.
Answer:
2
Step-by-step explanation:
change it to slope intercept form
2x-y=1
add y
2x=y+1
subtract 1
2x-1=y
reorder
y=2x-1
so the slope is 2
Answer:
The numbers are 28, 29 and 30
Step-by-step explanation:
We consider the first number as X, the second consecutive number is X+1 and the third is X + 2. The sum of these 3 numbers is 87, so:
X + X+1 +X+2 = 87
3x + 3 = 87
We substract 3 on both sides of the equation
3x + 3 - 3 = 87 - 3
3x = 84
We divide by 3 on both sides
x = 28
This means our numbers are 28, 29 and 30