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3 years ago

The square root of 3 is greater than , less than , or equal to 2

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

less than

Step-by-step explanation:

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Can you answer the question in the picture below?

uysha [10]

Step-by-step explanation:

Area of parking lot

$= length \: of \: base \: \times height \\ = 200 \times 120 \\ = 24000 \: {ft}^{2}$

5 0

3 years ago

The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is $\frac{2}{3}$ .

Step-by-step explanation:

The given equation of ellipse is

$2x^2+xy+y^2=4$

Differentiate both sides with respect to x.

$\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)$

$\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)$

$4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0$

$(4x+y)+(x+2y)\frac{dy}{dx}=0$

$\frac{dy}{dx}=-\frac{4x+y}{x+2y}$

Calculate the value of \frac{dy}{dx} at (1,-2).

$\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}$

$\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}$

$\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}$

Therefore the slope of tangent at point (1,-2) is $\frac{2}{3}$ .

3 0

3 years ago

Read 2 more answers

Mrs. Austin teaches forty-eight students. One-third of her students are out sick with the flu. How many students are sick?

Aneli [31]

16 of the students are sick. How I got this was, divide 48 by 3 and you get 16 therefore 1/3 of 48 is 16.

8 0

2 years ago

Can you help with this? Thank you!

Gnom [1K]

To solve for j, cross multiply:

4 x 45 = 18 x j

180 = 18j

Divide both sides by 18:

j = 10

5 0

3 years ago

Read 2 more answers

The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol

Licemer1 [7]

9514 1404 393

Answer:

$562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

C'(x) = 0.56x -0.7 = 0

x = 0.7/0.56 = 1.25

The cost at that production point is ...

C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0

2 years ago