Answer:
The answer is given below
Step-by-step explanation:
Given that:

The function is an exponential function.
The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:
Domain: x = (-∞, ∞)
The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:
Range: y = (0, ∞)
we know that
The measure of the interior angle is the half-sum of the arcs comprising it and its opposite.
so
<u>Find the measure of the angle LAM</u>
m∠LAM is equal to
![\frac{1}{2}*[arc\ KJ+arc\ LM]= \frac{1}{2}*[170+80]\\\\=125\ degrees](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2A%5Barc%5C%20KJ%2Barc%5C%20LM%5D%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%5B170%2B80%5D%5C%5C%5C%5C%3D125%5C%20degrees)
<u>Find the measure of the angle MAJ</u>
we know that
m∠LAM+m∠MAJ=
° ------> by supplementary angles
m∠MAJ=
m∠MAJ=
°
therefore
<u>the answer is</u>
The measure of the angle MAJ is 
Answer with explanation:
It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.

Radius of Circle = 9.0 meters
Acceleration is rate of change of velocity,which will be perpendicular to radius vector.
Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.
→r(radius vector) ⊥ a(Acceleration vector).
So, In option A, Radius vector is Perpendicular to acceleration of riders.
Answer:
The probability is approximately 0.0699. That's
to be exact.
Step-by-step explanation:
How many ways to choose four out of a total of
boys and girls?
.
How many ways to choose four boys out of a total eight boys?
.
What's the probability that all four persons chosen out of the pack of fourteen are boys? All 1001 ways of choosing four out of fourteen are equally likely. However, only 70 satisfy the conditions. In other words, the probability of choosing four boys out of this group of eight boys and six girls is equal to:
.