Answer:
16 seconds
Step-by-step explanation:
So, we know that distance equals 100.
We also know that Dita covers 6.25 meters of this distance every second.
Since this is 6.25 PER second, we can write this as 6.25s, where s is seconds.
To find the seconds it takes to cover 100 meters in distance, we can write the following equation:
6.25s = 100
This makes sense, since the 100 meters in distance is equal to the rate of change in meters, times the seconds.
Now we just need to solve for s.
To do this, we must get s alone. We can do this by dividing 6.5 from both sides:
=
s = 16
So this means the seconds it takes to go 100 meters is 16 seconds, your first answer option
hope this helps! :3
Rember a variable without a coefficient or number is 1 so 1×2+3 1×2=2 2+3=5
You're answer would be 6x3 + 14x2 + 6x - 12
We define the variables first:
x = number of male cousins
y = number of females cousins
We write the system of equations:
x + y = 9
x = y-2
We solve the system:
Equation 1:
x + y = 9
(y-2) + y = 9
2y-2 = 9
y = 11/2 = 5.5
Equation 2:
x = 5.5-2
x = 3.5
Answer:
Although physically it does not make sense, mathematically the answer is:
number of male cousins = 3.5
number of females cousins = 5.5
Formula for Riemann Sum is:
interval is [1,3] so a = 1, b = 3
f(x) = 3x , sub into Riemann sum
Continue by simplifying using properties of summations.
Now you have an expression for the summation in terms of 'n'.
Next, take the limit as n-> infinity.
The limit of
goes to 0, therefore the limit of the summation is 12.
The area under the curve from [1,3] is equal to limit of summation which is 12.
