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3 years ago

13

yesterday Ron's donut shop sold one half as many chocolate donuts as cinnamon donuts if they sold 7/8 of a tray of cinnamon donu

ts how many trays of chocolate donuts did they sell

1 answer:

inna [77]3 years ago

7 0

Answer:

14/8

Step-by-step explanation:

7/8*2

but only the numerator is multiplied by 2

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Show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1

aalyn [17]

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

${3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}$

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

$3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\$

$3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}$

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2 years ago

what is the volume of is a rectangular prism that is 14 inches long, 7 inches wide, and 10 inches high?

igomit [66]

Answer:

Step-by-step explanation:

980

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2 years ago

A square with shaded 2/5

skelet666 [1.2K]

The answer is C 2/5 = 0.4

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2 years ago

Using the slope formula, find the slope of the line through the given points (2,7) and (5,1)

Zanzabum

Answer:

The slope is -2.

Step-by-step explanation:

The slope formula is (y1-y2)/(x1-x2)

or change in y / change in x.

First, you plug in your numbers. I will use (2, 7) as (x1, y1)

(1-7)/(5-2)

Next, simplify.

(-6)/(3)

or

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3 years ago

Kamila [148]

The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The relationship between the trigonometric ratios</h3>

The given parameters are:

Scale factor of dilation, k = 2
cos(X) = 2.5/5/59

Since the transformation is a dilation, it means that both triangles are similar.

So, we have:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The segments AC and AB. </h3>

In (a), we have:

Both triangles are similar.

This means that the corresponding points are:

X and A

Y and C

Z and B

So, we have:

AC = 2 * XY

AB = 2 * XZ

Read more about dilation at:

brainly.com/question/13176891

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1 year ago