Answer:
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 9
8^(x-3) = 2^(3x-9)
Step-by-step explanation:
2⁴ × 8^(x - 3)
2⁴ × (2³)^(x-3)
2⁴ × 2^(3x - 9)
Since the bases are same now, powers can be added
2^(4 + 3x - 9)
2^(3x - 5)
I think you meant "y = 4 arccot (x)."
This is equivalent to:
y
---- = arccot x
4
and so cot (y/4) = x
Answer:
$1 per $22.22 sold.
Step-by-step explanation:
To find this answer, I divided his sales by his amount earned.
9245.00/416.03=22.22
This shows the for every 22.22 dollars sold, he recieved one dollar in commission.
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Answer:

Step-by-step explanation:
Given
--- probability of scoring
Required
Probability that his first miss is his 6th shot
Let q represent the event that he did not score.
Using complement rule:

The event that his first miss is his 6th is represented as:
p p p p p q ---- That he scoress the first 5 attempts
So, the probability is:


Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.