What is the solution of x=2+√x-2 ?

In the calm waters of an inlet, Manon's boat moves with a velocity (speed and direction) vector \vec{b_1} = (3,4) b 1 =(3,4)

andrew-mc [135]

Answer with Step-by-step explanation:

We are given that

$b_1=(3,4)$

$b_2=(1,1)$

We have to find the speed of river's current and the direction of current flowing.

$b=b_2-b_1=(1,1)-(3,4)=(-2,-3)$

Speed of river's current= $\mid b\mid$

Speed of river's current= $\sqrt{(-2)^2+(-3)^2}$

Speed of river's current= $\sqrt{13} m/s$

By using the formula

$\mid r\mid =\sqrt{x^2+y^2}$

Direction of current flowing, $\theta=tan^{-1}(\frac{y}{x})$

$\theta=tan^{-1}(\frac{-3}{-2})=56.3^{\circ}$

The angle lies in third quadrant therefore

$\theta=180+56.3=236.3^{\circ}$

3 0

3 years ago

What is the greater faction than 11/20

Mila [183]

Answer:

Are you looking to calculate whether 2/10 is greater than 11/20? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 2/10 is bigger than 11/20 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 2/10 is larger than 11/20:

Convert the fractions to have the same denominator

Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/10 and 11/20 side by side so they are easier to see:

Converting Denominator

2

10

&

11

20

Our denominators are 10 and 20. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 10 and 20. In this case, the lowest common denominator is 20.

If we multiply the first denominator (10) by 2 we will get 20. If we multiply the second denominator (20) by 1 we will also get 20. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

2 x 2

10 x 2

11 x 1

20 x 1

This is what 2/10 and 11/20 looks like with the same denominator:

4

20

&

11

20

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 4 is NOT greater than 11 which also means that 2/10 is NOT greater than 11/20.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

2/10 = 0.2

11/20 = 0.55

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.2 is NOT greater than 0.55 which also means that 2/10 is NOT greater than 11/20.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

4 0

2 years ago

This is due today, and I have no idea what I'm doing, please help if you know anything.

defon

Binomial distribution formula: P(x) = (n k) p^k * (1 - p)^n - k

a) Probability that four parts are defective = 0.01374

P(4 defective) = (25 4) (0.04)^4 * (0.96)^21

P(4 defective) = 0.01374

b) Probability that at least one part is defective = 0.6396

Find the probability that 0 parts are defective and subtract that probability from 1.

P(0 defective) = (25 0) (0.04)^0 * (0.96)^25

P(0 defective) = 0.3604

1 - 0.3604 = 0.6396

c) Probability that 25 parts are defective = approximately 0

P(25 defective) = (25 25) (0.04)^25 * (0.96)^0

P(25 defective) = approximately 0

d) Probability that at most 1 part is defective = 0.7358

Find the probability that 0 and 1 parts are defective and add them together.

P(0 defective) = 0.3604 (from above)

P(1 defective) = (25 1) (0.04)^1 * (0.96)^24

P(1 defective) = 0.3754

P(at most 1 defective) = 0.3604 + 0.3754 = 0.7358

e) Mean = 1 | Standard Deviation = 0.9798

mean = n * p

mean = 25 * 0.04 = 1

stdev = $\sqrt{np(1-p)}$

stdev = $\sqrt{(25)(0.04)(1-0.04)}$ = 0.9798

Hope this helps!! :)

7 0

3 years ago

a rectangular floor is 12 feet wide and 18 feet long. How much will it cost to carpet the floor if the carpet cost $1.39 per squ

ruslelena [56]

We have to find the area first
12 x 18=216 square feet
we do 216* $ 1.39= $ 300.24

7 0

3 years ago

Read 2 more answers

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

Kryger [21]

Answer:

y=9x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:

y=9x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,4). When x of the line is 1, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).

So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9

is

y=9x-5

4 0

3 years ago