Step-by-step explanation:
Given that:
a = 2ˣ
b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ
Now,
{(8a³)/b²}
Substitute the value of x and y in expression then
= [{8(2ˣ)³}/(2.2ˣ)²]
= [(8*2³ˣ)/{2² * (2ˣ)²}]
= {(8*2³ˣ)/(4 * 2²ˣ)}
[since, (aᵐ)ⁿ = aᵐⁿ]
= {(2 * 2³ˣ)/2²ˣ}
= {(2 * 2²ˣ * 2ˣ)/2²ˣ}
[since (2a = a+a, that means 3x = 2x + x)]
= 2 * 2ˣ
= 2ˣ⁺¹
[since (aᵐ * aⁿ = aᵐ+ⁿ)]
<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .
Please let me know if you have any other.
HAVE NO IDEA! this takes alot of thinking to figure it out
Answer:
Philip, after 12 seconds, is 13.44 meters farther ahead after 12 seconds
Step-by-step explanation:
Philip
6.59 x 12 = 79.08
Mary
5.47 x 12 = 65.64
79.08 - 65.64 = 13.44
The equation of variation in which y varies jointly as x and z and inversely as the product of w and p is y=0.5(xz/wp).
Given that variable y varies jointly as x and z and inversely as the product of w and p,where y=7/28 where x=7,z=4,w=7 and p=8.
We are required to find the equation of variation.
To solve this problem we must apply the following procedure:
1) We have that y varies jointly as x and z and inversely as the product of w and p. Therefore we can write the following equation,where k is the constant of proportionality:
y=k(xz/wp)----------1
Now we have to solve for the constant of proportionality as done under:
k=ywp/xz-------------2
Using the values in equation 1.
k=(7/28)(7)(8)/(7)(4)
=0.5
Using all the values in the equation 2.
y=0.5(xz/wp)
Hence the equation of variance is y=0.5(xz/wp).
Question is incomplete.The following values should be included:
y=7/28 where x=7,z=4,w=7 and p=8.
Learn more about equation at brainly.com/question/2972832
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