All categories

3 years ago

.164 round to the nearest tenth

Mathematics

1 answer:

timurjin [86]3 years ago

8 0

Answer:

Step-by-step explanation:

You might be interested in

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:

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

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

3 0

3 years ago

Approximate the unknown side x in the diagram. <br> A. 3.356<br> B. 5.222<br> C. 3.064<br> D. 4.737

Marianna [84]

Answer:

The answer to your question is x = 3.356 cm

Step-by-step explanation:

This is a right triangle so we can use the Trigonometric functions to solve this problem.

Data

Ф = 40°

Adjacent side = 4 cm

Opposite side = x

Process

1.- We must know the lenght of the opposite side so we must use the tangent to solve it.

tangent Ф = $\frac{Opposite side}{Adjacent side}$

2.- Solve it for Opposite side

Opposite side = tanФ x Adjacent side

Opposite side = tan 40° x 4

Opposite side = 0.839 x 4

Opposite side = 3.356

Opposite side = x = 3.356 cm

5 0

3 years ago

Read 2 more answers

Mason wants to host a housewarming party. The following equation represents how the cost of party depends on the number of atten

mestny [16]

The answer I got was a=5. Hope this is correct and hope it helped

4 0

3 years ago

Plz help someone products of exponents

Airida [17]

1. 7^30 because 5*6 equals 30 and u keep the base
2. 54^3 you multiply the base and keep the exponent
3. Yes because the associative property of multiplication still applies to exponents

6 0

3 years ago

Read 2 more answers

Help on this one please number 9

MArishka [77]

Her estimate is More than her actual earnings because since she earns 5.85 on an hourly wage I multiplied that by every hour she worked each day. her estimatewas $120 but her her actual earnings were 109.66.

5 0

3 years ago