Answer:
The inverse of logarithmic function
f⁻¹(x)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given f(x) = log₂ˣ ( 2 is a radical)
<em>Let x₁ and x₂ be the ∈ domain f</em>
⇒f(x₁) = f(x₂)
⇒
⇒ x ₁ = x₂
<em>Therefore f(x) is one-one function</em>
Let y = f(x) = log₂ˣ
⇒ y = log₂ˣ
⇒
<em>f(x) is a one-one function and onto</em>
⇒
⇒ f⁻¹(x)
<em>The inverse of logarithmic function </em>
f⁻¹(x)
Answer:
Step-by-step explanation:
a bucket has the form of a cylinder, which has the following formula for its volume:
where r is the radius and h is the height.
Since we need to find the radius, we solve for r:
and since we know according to the problem that:
and
substituing these values:
the radius is: which can be rounded to
In ΔJKL
s = JK+KL+LJ/2
= 25+7+21/2
= 28
then,
ΔJKL = √[s(s-a)(s-b)(s-c)]
= √[28(28-25)(28-24)(28-7)
= √(28×3×4×21)
= √(7056
= 84cm²
Again,
ΔJKL = 1/2×JL×LK×∠L
or, 84 = 1/2×24×7×sin x°
or, 84/168 = sin x°
or, 1/2 = sin x°
or sin 30° = sin x°
or x° = 30°
At last,
∠K+∠L+∠J = 180° (sum of angle of triangle)
or, ∠K+30°+90° = 180°
or, ∠K = 180°- 120°
or, ∠K = 60°
Answer: A, C, and D
Step-by-step explanation:
Substitute -4 for X and solve
Answer:
Step-by-step explanation:
Pay attention to the procedure:
(5(10)^2)^3/(10(5))^4. What we need is plug in the corresponding x and y values Then you have to do x squared before you multiply it by 5 like this: (5(100))^3/(10(5))^4 Now solve for what is in the top parenthesis. (500)^3/(10(5))^4 500^3=125000000 Now work on the denominator. Do what is inside the parenthesis first 10*5=50 Now (50)^4=6250000 Now divide the numerator and the denominator. 125000000/6250000 Which equals 20, Please check if I'm wrong but I think this is what you need