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2 years ago

Select all the expressions that could represent the volume of a box, which is a third degree polynomial in variables x and y.

Mathematics

1 answer:

Citrus2011 [14]2 years ago

6 0

Answer:

A and D

Step-by-step explanation:

Third degree polynomials refers to polynomials that has 3 as the greatest power of the variable.

A. 3 x y − 3 x y^2

Degree = 1 + 2 = 3

This option is correct

B 2y - xy^3 + 7

Degree = 1 + 3 = 4

This option is wrong

C. 3x^3y^2 -3x^2y + 10y^2 - 10y

Degree = 3 + 2 = 5

This option is wrong

D. 3x^2y+5xy

Degree = 2 + 1 = 3

This option is correct

E. 3y^3 + 3x^3 y^4

Degree = 3 + 4 = 7

This option is wrong

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3 years ago

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In this case, we have two numbers, then we need to multiply them and take square root:

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1 year ago

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3 years ago

The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi

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Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

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3 years ago

There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of th

miskamm [114]

Answer:

<em>4.7 years</em>

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 $\times$ 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance $D$ , at a speed $s$ light takes time of 4.24 years.

To travel the distance $D$ , at a speed $0.90s$ , the person takes time:

$\dfrac{4.24}{0.90} = \bold{4.7\ years}$

So, the twin on Earth ages by <em>4.7 years.</em>

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2 years ago