Question:
Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q
Answer:
Option c: p → q
Explanation:
Option a: p ∨ q
p ∨ q means that either p is true or q is true or both are true.
Hence, Option a is not the correct answer.
Option b: p ∧ q
p ∧ q means that both p and q are true.
Hence, Option b is not the correct answer.
Option c: p → q
p → q means that if p is true, then q is also true.
Hence, Option c is the correct answer.
Option d: p ↔ q
p ↔ q means that if p is true, then q is true. If q is true, then p is true.
Hence, Option d is not the correct answer.
Thus, p → q is the correct option.
Answer:
The radius of the cone is 3 units
Step-by-step explanation:
An oblique cone is a kind of slanted cone. It is a figure such that the tip of the cone is not directly over the center of the circular base of the cone.
While the method for calculating the area of an oblique and a right-circular cone is different, the method for calculating the volume is the same
Mathematically, the volume of an oblique cone = 1/3 * pi * r^2 * h
in this question, we have the height and the volume but we want to calculate the radius
substituting the value for the volume, the height and radius( radius is half diameter = 2x/2 = x) we have
18 pi = 1/3 * pi * x^2 * 2x
divide through by pi
18 = 1/3 * 2x * x^2
54 = 2x^3
divide both sides by 2
x^3 = 54/2
x^3 = 27
x = cube root of 27
x = 3 units
This is the length of the radius
Crude birth rate is all the time reported per 1000 living
people.
To compute for this, the formula is number of births x 1000
divided by the estimated population at midyear. So plugging in the values
given:
14,662 x 1000 divided by 994,948
= 14662000 / 994948
= 14.68 per 1000 living people.
Answer:
Step-by-step explanation:
6 - (2 - 4x)
sophia : 6 + 2 + 4x
sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.
ursula : 6 - (-2x)
ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x
a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x
The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.
The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100
Thus,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553
<em>The maximum value of the function is 0.2553.</em>
