Answer:
0.75 km/h
Step-by-step explanation:
The volume, V of a cone is calculated using the formula V = (1/3)*π*(radius)^2 * height. This indicates that there are two variables involved: radius and height, resulting in multiple radius and height combinations producing the same volume. Therefore, the question lacks certain details. In my research, I came across a list of options for answers: a) radius 6 inches, height 3 inches b) diameter 6 inches, height 3 inches c) diameter 4 inches, height 6 inches d) diameter 6 inches, height 6 inches. Now, you can evaluate these options to determine which configuration results in a volume of roughly 28 cubic inches. a) with a radius of 6 in and height of 3 in yields V = (1/3)*3.14*(6in)^2 * 3in = 113.04 in^3, which is not feasible. b) with a diameter of 6 in and a height of 3 in, implies a radius of 3 in, which results in V = (1/3)*3.14*(3in)^2 * 3in = 28.26 in^3, making this the suitable choice. The other alternatives do not come close to matching the 28 in^3 volume target. The correct response is: diameter 6 inches, height 3 inches.
5/6 litre of smoothie is equivalent to 2/3 cup of smoothie.
To find the amount for 1 litre, divide both sides by 5/6.
This gives us 1 litre of smoothie = 2/3 ÷ 5/6 cup of smoothies.
Calculating that results in: 2/3 × 6/5 cup of smoothies = 4/5 cup of smoothies.
-3(y+2)2-5+6y
Steps
Begin with multiplying: 3 x 2 = 6
= -6(y + 2) - 5 + 6y
Next, expand -6(y + 2): -6y - 12
= -6y - 12-5 + 6y
Now simplify
-6y - 12 - 5 + 6y
= -17
The expression in question is:
f(x) = x³ – 2x² – x + 2
To determine the roots, follow these steps:
1. Set the equation to zero:
0 = x³ – 2x² – x + 2
2. Factor the equation to get:
(x-2)(x-1)(x+1) = 0
3. The roots can be identified as follows:
x1 = -1
x2 = 1
x3 = 2
