Thtas what you must mean.
The distance beteen th epoints will be sqrt(4^2 + 6^2) = sqrt 52 = 2 sqrt13
I hope the equation will be 2000=16000(1-r)^t because t is missing in the equation which we need to find.
Given rate: r= 35%= 0.35.
So, first step is to plug in 0.35 for r in the given formula to get the value of t.
Hence, the equation will be:
2000=16000(1-0.35)^t
2000=16000(0.65)^t (By subtraction)
2000/16000= 16000(0.65)^t /16000 (Dividing each sides by 16000)
0.125 = 0.65^t (By simplifying).
log 0.125 = log 0.65^t (Taking log each sides to isolate t).
log 0.125 = t log 0.65 (By applying the log property).
(Dividing each sides by log 0.65)
-0.903/-0.187 =t
t= 4.83
t= 5 ( Rounded to nearest integers)
So, Devon's car is 5 years old.
It is -2.5. Each step is 2.5 less
Hey there!!
The equation given :
4 ( x + 6 ) > -5 ( x + 5 ) - 14
... 4x + 24 > -5x - 25 - 14
... 4x + 24 > - 5x - 39
Add 39 on both sides
... 4x + 63 > - 5x
Subtract 4x on both sides
... 63 > - 9x
Divide by -9 on both sides
When we divide both sides by a negative number, we switch the signs.
... -7 < x
Hope my answer helps!!
Answer:
1436.75504 or 1372/3π cm^3
Step-by-step explanation:
The volume of a sphere can be found using:
V = 4/3 πr^3
We know the radius is 7, so we can substitute 7 in for r
V = 4/3 π7^3
Evaluate the exponent
V = 4/3 π 343
If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.
v= (4/3*343)π
v=1372/3π
If we want an exact answer, multiply 1372/3 and pi
v=1436.75504
So, the volume is 1436.75504 or 1372/3 π cm^3