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3 years ago

Negative one over two equals negative five over eighteen h

Mathematics

2 answers:

love history [14]3 years ago

3 0

Answer:

the answer is h = 5 / 9.

Step-by-step explanation:

Given is "negative one over two equals negative five over eighteen h"

It means -1 / 2 = -5 / 18h

Using cross multiplication method,

-1 * 18h = -5 * 2

-18h = -10

Cancelling negative signs from both sides,

18h = 10

Dividing both sides by 18,

h = 10 / 18

h = 5/ 9

Hence, the answer is h = 5 / 9.

BartSMP [9]3 years ago

3 0

Negative five over eight

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Find dy/dx by differentiating implicitly <br> x^2y+3xy^3-x=3

AleksandrR [38]

$\dfrac{\mathrm d}{\mathrm dx}\left[x^2y+3xy^3-x\right]=\dfrac{\mathrm d}{\mathrm dx}[3]$
$2xy+x^2\dfrac{\mathrm dy}{\mathrm dx}+3y^3+9xy^2\dfrac{\mathrm dy}{\mathrm dx}-1=0$
$(x^2+9xy^2)\dfrac{\mathrm dy}{\mathrm dx}=1-2xy-3y^3$
$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{1-2xy-3y^3}{x^2+9xy^2}$

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3 years ago

Assume that there is a 8% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive wit

romanna [79]

Answer:

0.9936 = 99.36% probability that during a year, you can avoid catastrophe with at least one working drive

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it works, or it does not. The probability of a disk working is independent of any other disk, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Assume that there is a 8% rate of disk drive failure in a year.

So 100 - 8 = 92% probability of working, which means that $p = 0.92$

Two disks are used:

This means that $n = 2$

What is the probability that during a year, you can avoid catastrophe with at least one working drive?

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.92)^{0}.(0.08)^{2} = 0.0064$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0064 = 0.9936$

0.9936 = 99.36% probability that during a year, you can avoid catastrophe with at least one working drive

8 0

3 years ago

The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in ye

Reptile [31]

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

$\frac{y}{a} = e^{-0.00012\cdot t}$ (1)

Where:

$y$ - Current amount of carbon-14, no unit.

$a$ - Initial amount of carbon-14, no unit.

$t$ - Time, in years.

If we know that $\frac{y}{a} = 0.25$ , then the approximate age of the bone is:

$t = -8333.333\cdot \ln \frac{y}{a}$

$t\approx 11552.453\,yr$

The approximate age of the bone is approximately 11552 years.

4 0

3 years ago

What is the radius of a sphere with a surface area of 100TCm ?

tensa zangetsu [6.8K]

The radius is 5cm

Step-by-step explanation:

The surface area of a sphere is given by:

$SA = 4\pi r^2$

Here

Given

SA = 100π cm^2

Putting the values in the formula

$100\pi = 4\pi r^2\\r^2 = \frac{100\pi}{4\pi}\\r^2 = 25$

Taking square root on both sides

$\sqrt{r^2} = \sqrt{25}\\r = 5 cm$

The radius is 5cm

Keywords: Surface area, Radius

Learn more about surface area of sphere at:

#LearnwithBrainly

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3 years ago

HELP <br>Which equations represent hyperbolas?

MissTica

An elliptical equation is in the form
Ax^2+Bx+Cy^2+Dy+E=0
the equation is a Hyperbola. When x and y are both squared, and exactly one of the coefficients is negative and exactly one of the coefficients is positive.
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3 years ago

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