Answer: Choice D.
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Work Shown:
We multiply the coefficients 9.2 and 7 to get 64.4, which is the same as 6.44*10^1 in scientific notation. When multiplying exponential expressions with the same base, we add the exponents
This is what the steps could look like
The final result is in scientific notation as the coefficient c is restricted such that
Answer:
The exponential function will be
Step-by-step explanation:
Let the exponential function is given by ............ (1)
Now, ordered pairs (2,20) and (3,40) are the solution of the above exponential function. So, they will satisfy the equation.
Now, for the ordered pair (2,20) putting f(2) = 20, we get
............. (2)
Again, for the ordered pair (3,40) putting f(3) = 40, we get
............. (3)
Now, from equations (3) and equation (2) we get,
2 = b
⇒ b = 2.
Now, from equation (2) we get,
⇒ a = 5
Therefore, the exponential function will be
(Answer)
It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
