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Alika [10]
2 years ago
13

What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out. 1. How many repeati

ng digits does the number represented by n have? Write your answer in the space below. 2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. Write your answer in the space below. 3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. Write your answer in the space bel 4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. 5. Write n as a fraction in simplest form.
Mathematics
1 answer:
OlgaM077 [116]2 years ago
3 0

Answer:

im confused srryy<3

Step-by-step explanation:

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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
Nadya [2.5K]

Answer:

 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

Given x = -2

(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

8 0
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