Answer:
= 4 1/6 ---------------> final answer
Step-by-step explanation:
1 2/3 cup of sugar
That is : 5/3 cups of sugar for 1 cookie recipe
So for 1 recipe ------------- 5/3 cups of sugar
hence for 2 1/2 recipe ---------------> (5/3) * (5/2)
= 25/6
= 4 1/6 ---------------> final answer
A U B is the set of elements which are in A, in B, or in both A.
Since,
A = {2, 3, 6}
B = {2, 4, 5, 7}
To find A U B, we have to write all numbers that are in A and/or in B. The number that are in both sets must not be written again.
A U B = {2, 3, 6, 4, 5, 7}
Writing then in acending order:
A U B = {2, 3, 4, 5, 6, 7}
Answer: A U B = {2, 3, 4, 5, 6, 7}.
The solution set of the inequality x ≥ - 4 using set builder notation and interval notation is {x | x ∈ Z, - 4 ≤ x ≤ ∞ } and [ - 4, ∞ ) respectively.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.
Interval Notation: A set of real numbers known as an interval contains all real numbers that fall inside any two of the set's numbers.
Consider the inequality,
x ≥ - 4
In the number line, the value of x is equal to and greater than - 4 increasing to infinity.
Therefore,
The solution set using the set builder notation is:
{x | x ∈ Z, - 4 ≤ x ≤ ∞ }
The solution set of the inequality using the interval notation is:
[ - 4, ∞ )
Learn more about set builder notation here:
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Answer:
i wish i can help
Step-by-step explanation:
<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired