Answer:
Y~x
Y = k × v
Y = 22
Step-by-step explanation:
Y~ x
Y = k × X
Since the question isn't complete,we are going to assign figures to complete this very question and move on to other things and you can as well solve questions that are similar to this ones.
Now let's assume that the question says that is 6 when x is 3,what is y when x is 11.
To solve this question above,we need to find the constant of variation which will then enable us to know what y is when x is 11
Y~ x
Y = k × V
When y is 6 and x is 3,k will be
6 = 3k
K= 2
Now when k is 2,x is 11,y Will then be
Y = kx
Y = 2 × 11
Y = 22.
With this procedure,one can find any value of x or y when they have the constant of variation.
If you have a figure assigned to x and y is to be found,the constant of variation will help to get y and vice versa
The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:
The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.
Answer:
27 hours
Step-by-step explanation:
Equation of population P(t) = –1710t^2+ 92,000t + 10,000
Find the derivative of the function to find the critical value
dP/dt = -2(1710)t + 92000
= -3420t + 92000
Find the critical value by equating dP/dt = 0
-3420t + 92000 = 0
92000 = 3420t
t = 92000/3420 = 26.90
Check if it really have max value through 2nd derivative
d(dP)/dt^2 = -3420
2nd derivative is negative, hence it has maximum value
So, the time when it is maximum is 26.9 or 27 hours
The correct answer is x=-2
Answer:
15
Step-by-step explanation:
The general form of an exponential equation is ...
f(x) = (initial value)(growth factor)^x
That is, the "growth factor" is the base of the exponent. In your equation ...
f(x) = (1/5)(15^x)
the growth factor is 15.
Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area.
This surface area of this rectangle prism is 78.
