Answer:
A
Step-by-step explanation:
3(1-2x)=1/4(6x+9)
3-6x=1 1/2x+2 1/4
-2 1/4 -2 1/4
3/4-6x=1 1/2x
+6x +6x
3/4=7 1/2x
/7 1/2 /7 1/2
1/10=x
Answer:
x(x + 8)(x - 8)
Step-by-step explanation:
Given
x³ - 64x ← factor out x from each term
= x(x² - 64) ← x² - 64 is a difference of squares
= x(x + 8)(x - 8) ← in factored form
Answer:
The triangle is obtuse.
It is an isosceles triangle.
The angles add up to 180°.
Step-by-step explanation:
Obtuse triangles are defined as triangles with one angle obtuse angle over 90°. This triangle has an angle of 100°, so it is an obtuse triangle!
Isosceles triangles have 2 equal sides. The two orange dashes on the left and right legs of the triangle tell us they are equivalent, so this is an isosceles triangle as well!
Finally, <em>all </em>triangles add up to 180°! We can prove this by adding the angles.
40° + 40° = 80°
100° + 80° = 180°
Answer:
=2mπ + π/3 for m ∈ Z.
Step-by-step explanation:
Given the equation
, we are to find all the values of
that satisfies the equation.

General solution for sin
is
= nπ + (-1)ⁿ ∝, where n ∈ Z.
If n is an even number say 2m, then
= (2m)π + ∝ where ∝ = 60° = π/3
Hence, the general solution to the equation will be
= 2mπ + π/3 for m ∈ Z.
Answer:
a. Quantitative variable.
b. Categorical variable.
c. Categorical variable.
d. Quantitative variable.
Step-by-step explanation:
Categorical variables are usually labels or words that describe a property.
Quantitative variables are countable numeric values and represent some sort of measurement. (Note that numbers can also be categorical variable if they are used to simply label something instead of providing numeric value.)
a. Noise levels in a city (in decibels )
Represents the amount of noise in a countable quantity, Quantitative variable.
b. Dream vacation location
Represents the name of a place, Categorical variable.
c. Favorite baby name
Represents the name of a person, Categorical variable.
d. Calories in a cheese Danish
Represents the amount of calories in cheese Danish in a countable quantity, Quantitative variable.