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2 years ago

7

Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the t

otal length of ribbon Teresa needs to make all the costumes?

1 answer:

anygoal [31]2 years ago

8 0

4 3/8ths ribbon is the total

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Use the definition of the derivative to differentiate f(x)= In x

WINSTONCH [101]

By def. of the derivative, we have for y = ln(x),

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac{\ln(x+h)-\ln(x)}{h}$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac1h \ln\left(\frac{x+h}{x}\right)$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \ln\left(1+\frac hx\right)^{\frac1h}$

Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as

$\displaystyle \frac{dy}{dx} = \lim_{y\to0} \ln\left(1+y\right)^{\frac1{xy}}$

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Recall that the constant e is defined by the limit,

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In Mathematica, use

D[Log[x], x]

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3 years ago

A dress in a store costs x dollars. After a sale, the dress is reduced by 20%. Then, when it still isn't sold, it is reduced by

skelet666 [1.2K]

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64%

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3 years ago

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Vlada [557]

Answer:

n=-3

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Step-by-step explanation:

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3 years ago

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fiasKO [112]

Answer:

x=1, y=4. (1, 4).

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y=4x

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x+4x=5

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3 years ago