Step-by-step explanation:
(1) 4mn × 6mp × 3mnp
= 4 × 6 × 3 ( mn × mp × mnp)
= 72 × (m³n²p²)
72m³n²p²
sorry, I'm busy, won't be able to complete it
Answer:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer:
3y+30
Step-by-step explanation:
Answer:
Adjacent, b = 5.3 units
Step-by-step explanation:
Let the length of sides of the triangle be;
- Opposite side = a
- Adjacent side = b
- Hypotenuse side = c
From the right-angle triangle, we can deduce the following data;
Hypotenuse, c = 8
Opposite, a = 6
To find the length of the adjacent (third) side, we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
8² = 6² + b²
64 = 36 + b²
Rearranging the equation (collecting like terms), we have;
b² = 64 - 36
b² = 28
Taking the square root of both sides, we have;
b = √28
<em>Adjacent, b = 5.3 units</em>
