Answer:
So that means length of the bike is approx 5.7 rulers.
Step-by-step explanation:
the question says to estimate how many 12-inch rulers will be about the same length as a bike. In other words we have to measure the length of bike by in terms of ruler like 3 ruler length or 5 rular length etc.
Type of bike is not mentioned so i'm going to use bicyle.
From internet I found that approx lenght of a bike ( bicycle) is = 68 inches.
Given that 1 ruler = 12 inches
So number of rulers that can fit into 68 inches can be found by dividing 68 by 12
68/12 = 5.7
Answer:
g(x)=15/20 x^2
Step-by-step explanation:
write 15/20 as a fraction then x^2 comes after it
I took the khan test and aced it
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
Answer:
The number of ways is equal to 
Step-by-step explanation:
The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are
n1 x n2 x ... x ni
Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.
For example : We want to put 4 different objects in a row.
The total ways to do this are 
ways.
Using the multiplication principle and the n-factorial number :
The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒
I think there is a lack of information with regards to the question posted above. This may be the complete question:
Van is 75% taller than Keith. If Van's height increases by 40% while Kieth's increases only by 25%, by what percent is Van taller than Kieth now?
We put Van at 175 and Kieth at 100 since Van is 75% taller than Keith.
When Kieth's height increased at 25%, he is now 125
When Van's height increased at 40%, he is now 245
245-125=120 and
<span><span><span>120/125</span>= .96 = 96%
The answer is 96%. I hope this helps.</span></span>
