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3 years ago

What is the reciprocal of 2 3/8

Mathematics

2 answers:

Maksim231197 [3]3 years ago

8 0

Basically 0.42105263157

Mumz [18]3 years ago

8 0

That is wrong because the real answer is 19/8

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Find the second derivative of 2x^3-3y^2=8

Umnica [9.8K]

Answer:

$\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

Step-by-step explanation:

Find the first implicit derivative using implicit differentiation

$2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}$

Use the substitution of dy/dx to find the second derivative (d²y/dx²)

$\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

5 0

2 years ago

Kendall has $88 in her piggy bank she loves young teen magazine and start spending$3.75 per week to buy it how much will she hav

dlinn [17]

First take note of her total amount of money, the amount of magazine cost, and the total weeks they purchased it.

Total: $88

Cost: $3.75

Weeks: 5

Now setup and equation.

88-(3.75 x 5)

88-18.75=69.25

So she will have $69.25 after the 5 weeks of purchasing magazines

7 0

3 years ago

A salesperson is paid a base salary of $1700 per month plus a 4.25% commission on sales. How much sales must he generate in orde

iren [92.7K]

Salesperson must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation

Solution:

Given that,

A salesperson is paid a base salary of $1700 per month plus a 4.25% commission on sales

Therefore,

Total salary = 1700 + 4.25 % commission on sales

How much sales must he generate in order to earn $2,816.90 per month in total compensation?

Therefore, let us first subtract the basic salary

2816.90 - 1700 = 1116.9

We have to find the sales he must generate

Let "x" be the sales he must generate

4.25 % of x = 1116.9

Therefore,

$4.25 \% \times x = 1116.9\\\\\frac{4.25}{100} \times x = 1116.9\\\\0.0425x = 1116.9\\\\x = \frac{1116.9}{0.0425}\\\\x = 26280$

Thus he must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation

8 0

3 years ago

helium gas accounts for less than 0.01% of Earth's atmosphere gases. write this percentage as a decimal and as a mixed number or

Sphinxa [80]

Answer: 0.01% in decimal form=0.0001 and in fraction form=1/10000

Step-by-step explanation:

Step 1 To convert the percentage in decimal form.

A percentage is a ratio expressed as a fraction of 100.

So, 0.01% means 0.01 out of 100.

Therefore,

0.01%= 0.01/100

0.01%= 0.0001

Step 2: Convert the decimal in fraction form.

Remove the point by dividing by 10000

0.01%= 1/10000

The meaning of the result is that helium account for less than one part per 10000 parts of Earth’s atmosphere gases.

7 0

3 years ago

In 2010, the average price of gasoline in the U.S. was $3.06 per gallon with a standard deviation price per gallon at $0.06 per

igomit [66]

Use Chebyshev's Theorem to 88.89 % the percentage of gasoline stations that had prices within 3 standard deviation of the mean.

What is the Chebyshev's theorem?

Chebyshev's Theorem estimates the minimum proportion of observations that fall within a specified number of standard deviations from the mean.
This theorem applies to a broad range of probability distributions.
Chebyshev's Theorem is also known as Chebyshev's Inequality.

By Chebyshev's inequality, for any distribution at least

$(1 -\frac{1}{k^{2} } )$ * 100 percentage of values falls within k standard deviation about mean .

here k=3 . Apply this to equation and find percentage that falls within 3 standard deviation about mean.

$( 1 - \frac{1}{3^{2} } ) * 100$ = 88.89

So, 88.89 % of gasoline station had price within 3 standard deviation about mean .

Learn more about Chebyshev's inequality

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3 0

2 years ago