The turtle that hibernates deeper is the box turtle.
Answer:
741 votes
Step-by-step explanation:
What you need to do here is multiply the portion of votes received as a decimal (0.38) by the total number of votes cast (1,950). 0.38 * 1950 is 741, which makes sense because this is a whole number, and there can't be half a vote. Don't forget your units! (:
<h3>
Answer: Choice A. (-2,0)</h3>
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Work Shown:
The center is (h,k) = (3,2) and the radius is r = 5
The standard circle equation (x-h)^2 + (y-k)^2 = r^2 turns into (x-3)^2+(y-2)^2 = 5^2 or (x-3)^2+(y-2)^2 = 25
The idea is to plug in each (x,y) point that is shown in the answer choices. Then simplify to see if you get a true equation or not. If you get a true equation, then that point is on the circle.
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Choice A
Plug in (x,y) = (-2,0)
(x-3)^2+(y-2)^2 = 25
(-2-3)^2+(0-2)^2 = 25
(-5)^2 + (-2)^2 = 25
25 + 4 = 25
29 = 25
We get a false equation, so we can stop here since we found the answer.
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I'll try out choice B to see if we get a true equation here or not.
(x-3)^2+(y-2)^2 = 25
(6-3)^2+(-2-2)^2 = 25 ... plug in (x,y) = (6,-2)
(3)^2 + (-4)^2 = 25
9 + 16 = 25
25 = 25
We get a true equation, so the point (6,-2) is on the circle. This means we can rule out choice B.
I'll let you try out the other two points. They should be on the circle, so you should get true equations after plugging in the coordinates. If you're still stuck, then let me know.
If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:
<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4
The correct result would be x = - 4.
If you're using the app, try seeing this answer through your browser: brainly.com/question/2989024——————————
You have
y as an implicit function of
x:
sin(xy) – x = 0Use implicit differentiation. As
y is a function of
x, then you must apply the chain rule there:
d d—— [ sin(xy) – x ] = —— (0) dx dx d d d—— [ sin(xy) ] – —— (x) = —— (0) dx dx dx d—— [ sin(xy) ] – 1 = 0 dx d—— [ sin(xy) ] = 1 dx dcos(xy) · —— (xy) = 1 dxNow, apply the product rule for that last derivative:
dyIsolate
—— :
dx dyx cos(xy) · —— = 1 – y cos(xy) dxAssuming
x cos(xy) ≠ 0,
dy 1 – y cos(xy)—— = ———————— <——— this is the answer.
dx x cos (xy)I hope this helps. =)