which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point (5, -4) select al
l that apply
1 answer:
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A principle square root of a real number that's not negative, such as 49, is the square root of that number that is not negative.
If you take the square root of 49, you get either -7 or 7, since both
and 
equal 49. However, the principle square root would be A) 7, since it's not negative.
If you take the square root of 49, you get either -7 or 7, since both
Answer:
So then after 2 hours we will have 32 grams.
Step-by-step explanation:
For this case we have the followin exponential model:
n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.
For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?
From the initial condition we know that n = 2, and we have the model like this:
Now if we apply the other conditionn(3) = 128 we got:
If we divide both sides by 2 we got:
If we apply natural log for both sides we got:
And our model is this one:
And if we replace t = 2 hours we got:
So then after 2 hours we will have 32 grams.
<u><em>Answer:</em></u>
Area of shaded region = 220.16 ft²
<u><em>Explanation:</em></u>
The diagram associated with this question is shown in the attached image
Unit in diagram is ft, so I'll use this unit in the answer
We are given that a circle with radius 16 ft is inscribed in a square
We know that the radius of an inscribed circle in a square is equivalent to half the length of the side of the square
<u>This means that:</u>
side length of the square = 2 × radius = 2 × 16 = 32 ft
<u>From the diagram, we can note that:</u>
area of shaded region = area of square - area of circle .............> equation I
<u>1- getting area of square:</u>
Area of a square is the square of its side length
<u>This means that:</u>
Area of square = (32)² = 1024 ft²
<u>2- getting the area of the circle:</u>
Area of circle = πr² = 3.14 × (16)² = 803.84 ft²
<u>3- getting area of shaded region:</u>
<u>Use equation I</u>
area of shaded region = area of square - area of circle
area of shaded region = 1024 - 803.84 = 220.16 ft²
Hope this helps :)
