Answer:
1/√5+√3= 1/√5+√3×√5-√3/√5-√3 = √5-√3/(√5)^2-(√3)^2 {(a+b)(a-b)= (a)^2-(b)^2} =√5-√3/5-3 =√5-√3/2 ans... Do you satisfied to my given answer
Step-by-step explanation:
Blue and green but i also like black
Answer:
c. 6.5 seconds.
Step-by-step explanation:
We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula
, where h is the height of the plane at t seconds.
To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute
in our given formula and solve for t as:






Take square root of both sides:


Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.
Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function

and the graph is shifted 3 units to the left, then we can think of a new unit u that is:

The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:

We can use this relation in the new graph and replace u as:

Answer:
<u>The z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mean of time to finish a test = 60 minutes
Standard deviation of time to finish a test = 10 minutes
Time that a student finishes the test = 23 minutes
2. What is the z-score for the student?
z-score = (Time that a student finishes the test - Mean of time to finish a test)/Standard deviation of time to finish a test
Replacing with the real values:
z-score = (23 -60)/10 = -37/10 = -3.7
<u>z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>