Answer:
Step-by-step explanation:
To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y . In other words, if the bases are the same, then the exponents must be equal.
Answer:
Given:-
The algebraic form of an arithmetic sequence is 4n+1.
To find:-
common difference.
first term
remainder when each term of the sequence is divided by 4.
Solution:-
Given,
and n = 1,2,3...
Now,
If n = 2,
The sequence is 5 ,9,13..
Hence, the first term is 5.
Common difference :
=> d =
=> 9- 5
=> d = 4.
Hence, common difference is 4.
Remainder :
=> 5/4 = 4(4) +1
Here, remainder =1
=> 9/4 = 4(2)+1
Here, remainder =1
=> 13/4 = 4 (3)+1
Here , remainder = 1.
Therefore, the remainder when each term of this sequence is divided by 4 is 1 .
Step-by-step explanation:
Answer:
theta =36.45268177
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = 74/92
Taking the inverse cos of each side
cos^-1 ( cos theta) = cos^-1 (74/92)
theta =36.45268177
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Subtract sides 3
Multiply sides by 6
Subtract sides 4x
Negatives simplifies
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CHECK :
Thus the solution is correct .
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-np - 70 < 40
-np < 40 + 70
-np < 110
-np/-p < 110/-p
n < 110/-p
4w - 7k = 28
4w-4w-7k = 28 - 4w
-7k = 28 - 4w
-7k/-7 = 28-4w /-7
k = 28-4w/-7