Answer:
2.25 cups
Step-by-step explanation:
15.75÷7= 2.25 cups of flour for one batch of cookie
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Answer:
What is the question?
Step-by-step explanation:
Answer:
181510
Step-by-step explanation:
120,000 x1.03∧14=181510.767
Round the answer down as you can't have 0.767 of a person.
<h2>
Hello!</h2>
The answer is: The population age 12 or under was 3680.
<h2>
Why?</h2>
If in 2010 the population of Kignsford was 8000, and by 2014 the population had increased by 15% we need to calculate the total population and then, calculate how many people was age 12 or under.
We must remember that we cannot work with percentage values, so, to make 15% a real number, we need to divide it by 100:

So,
Calculating the population by 2014, we have:

Then, substituting we have:

Now, calculating the population that was age 12 or under, knowing that it was 2/5 of the total population, we have:

So, the population age 12 or under was 3680.
Have a nice day!