We are given
Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radical60).
so, time is

we have to approximate it's value
First approximation set:
we know that

we can take sqrt all the sides

we can simplify it

Divide all sides by 4

Second approximation set:

Divide all sides by 4


Third approximation set:

Divide all sides by 4


so, we get
......Answer
Answer:
36
Step-by-step explanation:
In the above question, we have been given a rule to follow
Given a * b = ba−ba+ab
We are to find (2*3)×(3*2)
Let simplify each bracket first
a * b = ba−ba+ab
2*3, a = 2, b = 3
2*3 = 3×2 - 3×2 + 2×3
= 6 - 6 + 6
= 6
a * b = ba−ba+ab
3*2, a = 3, b = 2
3*2 = 2×3 - 2×3 + 3×2
= 6 - 6 + 6
= 6
(2*3)×(3*2)
= 6 × 6
= 36
The answer is 36
Step-by-step explanation:
<u>Given</u>: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
<u>Asked</u>: Find the value of x = ?
<u>Solution:</u> Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[
(aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[
a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
-1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
x = 5/6
<u>Answer</u><u>:</u> Hence, the value of x for the given problem is 5/6.
<u>also </u><u>read </u><u>similar </u><u>questions</u><u>:</u> (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? brainly.com/question/25746379?referrer
(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. brainly.com/question/25746273?referrer
You said that (1/2) / N = 1/3
Multiply each side by 'N' : (1/2) = 1/3 N
Multiply each side by 3 : 3/2 = N
or 1-1/2 = N .