Answer:
A
Step-by-step explanation:
The common difference is simply the constant we add/subtract each time. In this case, the common difference is 3/2 as can be seen from the recursive formula. In other words, each new will be 3/2 larger than the previous.
The answer is A.
Answer:
The rate of change of the distance when x = 9 and y = 12 is .
Step-by-step explanation:
This is an example of a related rate problem. A related rate problem is a problem in which we know one of the rates of change at a given instant and we want to find the other rate at that instant.
We know the rate of change of x-coordinate and y-coordinate:
We want to find the rate of change of the distance when x = 9 and y = 12.
The distance of a point (x, y) and the origin is calculated by:
We need to use the concept of implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variables as a function of the other.
If we apply implicit differentiation in the formula of the distance we get
Substituting the values we know into the above formula
The rate of change of the distance when x = 9 and y = 12 is
Answer:
option D
Step-by-step explanation:
(fog)(x) = f(g(x))
Plug in g(x) in f(x)
We plug in 1/x+3 in the place of x in f(x)
To simplify it we take LCD
LCD is (x+3)(x+3)
All the denominators are same so we combine the numerators
Option D is correct
That equals 186 and if you wanted a fraction you can add on 27/38 so when you take 38•186=7068 then you take 7095-7068=27 then that's your answer 186 27/38 and if you didn't want the fraction it would be 186r27
Answer:
lateral area = 2320 m²
Step-by-step explanation:
The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.
Half of the square base is 40/2 = 20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.
Using Pythagoras's theorem
c² = a² + b²
c² = 20² + 21²
c² = 400 + 441
c² = 841
square root both sides
c = √841
c = 29 meters
The slant height of the pyramid is 29 meters.
The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.
area of triangle = 1/2 × base × height
base = 40 meters
height = 29 meters
area = 1/2 × 40 × 29
area = 580
area of one triangle = 580 m²
Lateral area = 4(580)
lateral area = 2320 m²