Answer:
A) {x | -1 < x < 7}
Step-by-step explanation:
Given in the question two inequalities,
Inequality 1
(x - 2 < 5)
x < 5 + 2
x < 7
x is smaller than 7
Inequality 2
(x + 7 > 6)
x > 6 - 7
x > -1
x is greater then -1
When (x - 2 < 5) U (x + 7 > 6).
(x < 7) U (x > -1)
-1 < x < 7
When combined, x is greater than -1 but smaller than 7
Answer:
D because if the ball already dropped all the potential energy from the height has been used
Answer:
(2,6)
Step-by-step explanation:
Since its reflecting on the y axis, the rule for that is (-x,y) for x the sign changes, and y stays the same. The coordinates for Q are (-2,6) and when you use the rule itll come out to (2,6)
Answer:

Explanation:
The question is "Einstenium-253 is an element that loses about 2/3 of its mass every month. A sample of einstenium-253 has 450 grams. Write a function that gives the sample's mass in grams, S(t) from today".
Since <em>einstenium-253 loses about 2/3 of its mass every month</em>, you can model the amount of sample by an exponential decay function, which is a geometric progression with a growing factor less than 1.
The general form of an exponential decay function is:

Where:
- A₀ is the initial value
- r is the growing or decaying factor
- t is the time
- y is the value of the function at time t.
In this case, you have:
- A₀ = 450
- r = 2/3
- t = t
- y = S(t)
Now you can replace the values in the model and will obtain:

Answer:
effective annual rate is 6.16 %
Step-by-step explanation:
given data
rate = 6 % = 0.06
time 5 year = 10 semi annually
to find out
effective annual rate
solution
we know formula for annual effective rate of interest is
rate of interest =
-1
put here all value
rate of interest =
-1
rate of interest =
-1
rate of interest = 0.061646
so effective annual rate is 6.16 %