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2 years ago

How to simply this radical

Mathematics

1 answer:

kondor19780726 [428]2 years ago

4 0

16✔️75
16✔️25 • 3
16 • 5 • ✔️3
80✔️3.

The radical can be simplified to 80✔️3.

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Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).

kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is $m_{1}$ and the gradient of the second line is $m_{2}$ , if the lines are perpendicular, them

$m_{1}$ x $m_{2}$ = -1 , that is

$m_{1}$ = $\frac{-1}{m_{2} }$

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then $m_{1}$ = 5/4

Which means that $m_{2}$ = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form to find the equation of the line;

y - $y_{1}$ = m ( x - $y_{1}$ )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

4 0

2 years ago

Help binomial distributions

Ymorist [56]

We have the formula to compute the probability of having exactly k successed over n trials, given a probability p of success (and implicitly a probability 1-p of failure), which is

$P(\text{k successed on n trials}) = \binom{n}{k}p^k(1-p)^{n-k}$

Now, the probability of at least 3 successes is the union of the following event: exactly three successes,exactly four successes and exactly five successes.

We can compute their probability and sum them: $\binom{5}{3}\left(\frac{3}{7}\right)^3\left(\frac{4}{7}\right)^2 + \binom{5}{4}\left(\frac{3}{7}\right)^4\left(\frac{4}{7}\right)^1 + \binom{5}{5}\left(\frac{3}{7}\right)^5 \approx 0.36788$

So, the answer is about 36.79%

3 0

2 years ago

3x + 5y = 30

GrogVix [38]

Answer:

$y= - \frac{3x}{5} + 6$

Step-by-step explanation:

The given linear equation is

$3x + 5y = 30$

To solve for y, we first subtract 3x from both sides to obtain:

$5y = 30 - 3x$

Divide through by 5

$\frac{5y}{5} = \frac{30}{5} - \frac{3x}{5}$

This simplifies to

$y= 6- \frac{3x}{5}$

$y= - \frac{3x}{5} + 6$

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2 years ago

How is scientific notation useful in the real world?

grin007 [14]

Answer:

You're less likely to make mistakes reading or writing very big and very small numbers if you use scientific notation. It also makes it much easier to tell at a glance which numbers are bigger or smaller without counting long strings of zeros.

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2 years ago

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if Afsheen can read 39 pages of a book in half an hour how much will it take her to finish the book that is 1287 pages

Assoli18 [71]

We are given:

Afsheen can read 39 pages in 30 minutes

Time taken by Afsheen to read 1287 pages:

Time taken to read 1 page:

Time taken to read 1 page = time taken to read 39 pages / 39

Time taken to read 1 page = 30 minutes / 39

Time taken to read 1 page = 0.77 minutes

Time taken to read 1287 pages:

Time taken to read 1287 pages = Time taken to read 1 page * 1287

Time taken to read 1287 pages = 0.77 * 1287

Time taken to read 1287 pages = 991 minutes OR 16.52 hours (Approx)

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2 years ago

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