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3 years ago

Find dy/dx for xy=4 at (-4,-1)

Mathematics

1 answer:

Mazyrski [523]3 years ago

3 0

Answer:

- $\frac{1}{4}$

Step-by-step explanation:

Differentiate implicitly using the product rule

x. $\frac{dy}{dx}$ + y.1 = 0 ( subtract y from both sides )

x . $\frac{dy}{dx}$ = - y ( divide both sides by x )

$\frac{dy}{dx}$ = - $\frac{y}{x}$

At (- 4, - 1), then

$\frac{dy}{dx}$ = - $\frac{-1}{-4}$ = - $\frac{1}{4}$

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College tuition and fees cost $12,000. Room and board cost $7500, books cost $500, and other charges are $250. If Lonnie’s paren

V125BC [204]

First find out the total cost for the year:
12000+7500+500+250=$20250

Now we can find the amount Lonnie needs to pay/earn after her parent's contributions:
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Lonnie will need to earn/borrow $5250

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4 years ago

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4 years ago

Which expression can be used to approximate the expression below,for all positive number a,b and x where a =/ 1 and b=/ 1

MAVERICK [17]

Answer:

$log_ax=\frac{log_bx}{log_ba}$

Therefore, Option 1st is correct.

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We have given that a=1 and b=1

We need to find expression equivalent to the given expression

We have: $log_ax$

We have a logarithmic property:

$log_my=\frac{log_ny}{log_nm}$ (1)

Here, we have m=a, x=y and n=b on substituting the values in (1) we get:

$log_ax=\frac{log_bx}{log_ba}$

Therefore, Option 1st is correct.

And when a=1 and b=1 we get:

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3 years ago

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7a+(4+5a)=12a+4 use properties and justify each step

V125BC [204]

7a+(4+5a)=12a+4

The first step to this is to simplify both sides of the equation.

You have to combine all of the like terms first...
(7x + 5x) + (4) = 12x + 4
12x + 4 = 12x + 4

Now the second step is to subtract 12x from both sides....
12x + 4 = 12x + 4
-12x -12x

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3 years ago

You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the

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Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that $n = 2809, \pi = \frac{1634}{2809} = 0.5817$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034$

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

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3 years ago