Answer:
The function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
Step-by-step explanation:
Given the expression of the function

We know that the domain of the function is the set of input values for which the function is real and defined
We know that the value inside the radical expression must be greater than or equal to 0 so that the function remains defined.
so

subtract 4 from both sides

simplify

Therefore, the function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
Answer:
40 hrs
Step-by-step explanation:
She worked 1 hr for 10 and she got 400
We know that,
Number of scouts = 15
Number of feathers required by each scout = 18
Hence, Total Number of feathers required = 15 * 18 = 270
We also know that Number of feathers in each bag = 12
Hence, number of bags required to decorate picture frames = Total number of feathers required ÷ number of feathers in each bag
⇒ Number of bags required to decorate picture frames = 270 ÷ 12
⇒ Number of bags required to decorate picture frames = 22.5
Since half a bag can't be bought 23 bags would be required.
Answer:
Horizontal distance between lifeguard and the person is 22 feet.
Step-by-step explanation:
Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.
To find: Horizontal distance between lifeguard and the person.
Solution : If we draw a triangle then tan∅ = 
Here base is the horizontal distance.
Now we put the values in the formula.
tan 34° = 
Or Base = 
= 
So the answer is 22 feet.