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Check the image below for working
The correct simplification of x^12z^11/x^2z^4 is
<h3>How to simplify the expression?</h3>
The expression is given as:
x^12z^11/x^2z^4
Rewrite properly as
Apply the quotient law of indices
Evaluate the difference
Hence, the correct simplification of x^12z^11/x^2z^4 is
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Points are (T,S) = (time, pounds), so you have (3.5, 605) and (10, 2100). Slope is (2100-605) / (10-3.5) = 1495/6.5 = 230. T is the independent variable (like x normally is in linear equations), so that narrows it down to choice A or choice D due to the slope. You can solve for b in y=mx+b or S = mT + b by plugging in one of the points: 2100 = 230(10) + b ===> b = -200. Therefore S = 230T - 200; S(12) = 230*12 - 200 = 2560 lbs [B]
<span>2) (a) Plug in 10 for x </span>
<span>(b) 10000 = 298.94x + 3215.48 </span>
<span>6784.52 = 298.94x </span>
<span>x = 6784.52/298.94 = 22.7 ===> in year 2023</span>
Answer:
42.43
Step-by-step explanation:
Given:
A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Question asked:
What is the area of the shaded region as shown in the figure ?
Solution:
First of all calculate area of circle and then area of rectangle:-
<u>As here length an width both are 11 cm, we can say that this is a square.</u>
<u />
Now, area of shaded region = Area of square - Area of circle
= 121 - 78.571 = 42.429
Therefore, the area of the shaded region will be 42.43