Answer:
B
Step-by-step explanation:
The exponential function has the form 
where a is the starting value or y-intercept. B is the rate of change and x is the variable typically time. In this situation, 
has starting value 4, rate 3 and a -x.
Normally an exponential curve glides left to right growing steeper as it goes. But a -x flips this behavior. The curve starts very steep then gradually slows down. This means only graphs B or D are options. Since only graph B of these two has a y-intercept at 4, graph B is the solution.
Answer:
<h2>52 ft.</h2>
Step-by-step explanation:
In this case, we need to calculate a perimeter, which is the sum of all sides of the rectangle.
So, rectangles has opposite sides equal, therefore, the perimeter should be:
; having L as the larger side.
Hence, the strip of wallpaper needs to be as least 52 ft.
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
Answer:
11/25 The right answer is not a part of the options given.
Step-by-step explanation:
Given;
Probability that event M will not occur = 0.8
Probability that event R will not occur = 0.6
Then the ;
Probability that event M will occur = 1 - 0.8 = 0.2
Probability that event R will occur = 1 - 0.6 = 0.4
If events M and R cannot both occur, probability that either event M or event R will occur
= probability that M occurs and R does not or the probability that R occurs and M does not
= 0.2 × 0.6 + 0.4 × 0.8
= 0.12 + 0.32
= 0.44
= 11/25
It’s a reflection across the x-axis
