Answer:
The average speed is 9.8 meter per second in the first two seconds
Step-by-step explanation:
Complete Question
What is the average velocity of the rock in first 2 secs?
Solution
Distance travelled in first two seconds
m
Average speed = 
meter per second
The total surface area of the can of coke is 641.143 cm².
<h3>What is the total surface area of the can?</h3>
A can of coke has the shape of a cylinder. A cylinder is a three-dimensional object that is made up of a prism and two circular bases. The total surface area of a closed cylinder can be determined by adding the area of all its faces.
Total surface area of the closed cylinder = 2πr(r + h)
Where:
- r = radius = 6cm
- h = height = 11 cm
- r = pi = 22 / 7
Total surface area of the closed cylinder = (2 x 22/7 x 6) x (6 + 11)
(264 / 7) x (17)
37.714 x 17 = 641.143 cm²
To learn more about how to calculate the total surface area of the closed cylinder, please check: brainly.com/question/13952059
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To determine the centroid, we use the equations:
x⁻ =
1/A (∫ (x dA))
y⁻ = 1/A (∫ (y dA))
First, we evaluate the value of A and dA as follows:
A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3 from 0 to 4
A = 64
We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA))
x⁻ = 1/64 (∫ (x (3x^2 dx)))
x⁻ = 1/64 (∫ (3x^3 dx)
x⁻ = 1/64 (3 x^4 / 4) from 0 to 4
x⁻ = 1/64 (192) = 3
y⁻ = 1/A (∫ (y dA))
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx)))
y⁻ = 1/64 (∫ (9x^4 dx)
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5
The centroid of the curve is found at (3, 144/5).
Answer:
- x = 0, mult: 3
- x = -4, mult: 2
- x = -5, mult: 2
Step-by-step explanation:
When a polynomial is shown in factored form, its zeros are the values of x that make the factors zero.
The factor x is zero when x=0.
The factor (x+4) is zero when x=-4.
The factor (x+5) is zero when x=-5.
__
The multiplicity of a zero is the number of times a given factor is a factor of the polynomial. It is the exponent of the factor.
x = 0 has multiplicity 3.
x = -4 has multiplicity 2.
x = -5 has multiplicity 2.
Answer:
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept or initial value
Let
y ----> total weekly pay
x ---> is the number of computers sold in a week
In this problem we have
substitute
