Answer:
n = 144
Step-by-step explanation:
6 / n = 5/120
6 * 120 = 5*n
5n = 6*120
5n = 720
n = 720/5
n = 144
Answer:
D
Step-by-step explanation:
a substance made by mixing other substances together.
Answer:
See attachment
Step-by-step explanation:
We want to graph
on the interval -10 to 10.
Let
be the parent absolute value function.
We can easily graph
, if we use translation.
When the parent function is shifted downwards by 12 units, we obtain the graph of
.
The parent function is a v-shaped graph with vertex at the origin.
We shift the parent function down so that its vertex is now at (0,-12) to get the graph of
.
See attachment for the graph of
on the specified interval.
to have 2.40$ between 30 dimes and nickels she would have to have 18 dimes being 1.80$ and 12 nickles being .60 cents.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x = 
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
-----------------------------------------------------------------
Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified