You didn’t attach the line plot but I’ll do my best.
1 pound = 16 ounces
It says of a pound dog toys, meaning that we will have to do multiplication:
1/2 * 1 pound
= 1/2 * 16 ounces
= 8 ounces
5/8 * 16 ounces
= 10
Next, find the difference:
10 - 8 = 2
The total weight of 5/8 of a pound of dog toys is 2 ounces greater than 1/2 of a pound of dog toys.
Also, the last bit of the question is worded incorrectly. 5/8 > 1/2 right off the bat. I’m not sure who designed the question but I think you should let them know since it would likely confuse individuals who encounter this question. Hope this helps!
Step-by-step explanation:
Derived=Depends on other quantities, obtained from product or division of fundamental quantities, exist a large number of derives units in the metric system
Fundamental=Independent, can't be expressed in terms of derived units, only seven fundamental units exist in the n metric system.
Answer:
63°
Step-by-step explanation:
They are corresponding angles.
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:
-2
Step-by-step explanation:
-4x^3 = 32
x^3 = -8
take the cube root of both sides.
x = -2
