Simplify √18x^3y^5 A - 9xy√2x^2y^3 B - 6xy√3xy C - 3xy^2√2xy D

1,400 mm =How many centimeters

vlabodo [156]

Answer:

140

Step-by-step explanation:

Each centimeter is 10 milimeters so we divide 1400 by 10 to convert to centimeters

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0

3 years ago

Find COS

ehidna [41]

$\frac{9}{41}$

Step-by-step explanation:

The ratio cosine tell us that

In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.

In other words,

$\cos(x) = \frac{adj}{hyp}$

The side adjacent to angle a is 9. The hypotenuse is 41.

So

$\cos(a) = \frac{9}{41}$

6 0

3 years ago

Suppose a manager plans to sample 10 items from a population of 100 items and would like to determine the probability of observi

aev [14]

Answer:

a) We conclude that the menager use the hypergeometric distribution.

b) We conclude that the menager use the binomial distribution.

Step-by-step explanation:

a) We know that in probability theory, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement.

We conclude that the menager use the hypergeometric distribution.

b) We know that the binomial distribution describes the probability of k successes in n draws with replacement.

We conclude that the menager use the binomial distribution.

4 0

3 years ago

A ship is moving at a speed of 30 km/h parallel to a straightshoreline. The ship is 6 km from the shore and it passes alighthous

natita [175]

Answer:

A) S = f(d) = √(36 + d²)

B) d = g(t) = 30t

C) f o g = √(36 + 900t²)

Explanation:

A) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon;that is, find f so that s = f(d)

Refer to the attached image and observe that ship starts moving from point I towards point N which represents the position of ship at noon.

From point I to point N ship covers the distance d.

From point I to point L (lighthouse) the distance is S.

A triangle is formed and we want the distance S so we will apply the Pythagorean theorem

IL² = NL² + IN²

S² = 6² + d²

S = √(36 + d²)

Therefore, the function is S = f(d) = √(36 + d²)

B) Express d as a function of t, the time elapsed since noon;that is, find g, so that d = g(t)

Since the ship is moving at a speed of 30 km/h and let t represents the time taken to move from I to N then

d = 30t

or

d = g(t) = 30t

C) Find f o g. What does this function represent?

Since we have already found f(d) and g(t) we can find f o g.

f(d) = √(36 + d²) and d = g(t) = 30t

substitute d = g(t) = 30t into f(d)

f o g = √(36 + (g(t))²)

f o g = √(36 + (30t)²)

f o g = √(36 + 900t²)

This function simply represents the distance from point I to point N to point L which is the longer distance from the initial position of ship to the lighthouse.