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Novosadov [1.4K]
3 years ago
10

There are 100 tabs of acetaminophen in one bottle. There are 650mg in 2

Mathematics
1 answer:
Minchanka [31]3 years ago
8 0
There are 32,500 mg of acetaminophen in one bottle. If you divide the 650mg by 2 to get 325mg for one tablet. You can then multiply that by 100 to get your answer.
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Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan
valina [46]

2(x^2+y^2)^2=25(x^2-y^2)

Let y=y(x), so that differentiating both sides wrt x gives

4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)

If x=-3 and y=1, the above reduces to

40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}

This is the slope of the tangent line, which has equation

y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}

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3 years ago
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale.
Flauer [41]

Answer:

The diagonal is 421.

Step-by-step explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation; A=\frac{1}{2} BH (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.

32*13=416 The B and H = 416. Plug it into the equation now;

A=\frac{1}{2}(416*416)\\\\\\A=\frac{1}{2} 173,056\\\\\\A=86,528Now that you have done that, we know that the area of our new triangle is 86,528.

The diagonal is: 421

8 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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3 years ago
How do I do this problem?
Elenna [48]
Roots can be written as fraction exponents. An exponent of 1/2 means the square root.

(12 x^{4})^{1/2} =  \sqrt{12 x^{4} }  \\  \\ \sqrt{12 x^{4} } =  \sqrt{3*4*x^{2}*x^{2}} = 2x^{2} \sqrt{3}
8 0
3 years ago
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