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3 years ago

15

Expandir (x + 2y)^5

1 answer:

GrogVix [38]3 years ago

8 0

This is the concept of polynomial function, the question requires us to compute;
(x+2y)^5
=(x+2y)^2(x+2y)^2(x+2y)
=[(x^2+4xy+4y^2)(x^2+4xy+4y^2)](x+2y)
=[x^2(x^2+4xy+4y^2)++4xy(x^2+4xy+4y^2)+4y^2(x^2+4xy+4y^2)](x+2y)
=(x^4+8x^3y+24x^2y^2+32xy^3+16y^4)(x+2y)
=x(x^4+8x^3y+24x^2y^2+32xy^3+16y^4)+2y(x^4+8x^3y+24x^2y^2+32xy^3+16y^4)
=x^5+10x^4y+40x^3y^2+80x^3y^3+80xy^4+32y^5
the answer is:
=x^5+10x^4y+40x^3y^2+80x^3y^3+80xy^4+32y^5

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The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a

posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.2

$P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532$

Thus,

$P_{20}=155.4532$

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

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3 years ago

Mai biked 6 and 3/4 miles today, and Noah biked 4 and 1/2 miles. How many times the length of Noah's bike ride was Mai's bike ri

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Answer:

2/3 times as far

Step-by-step explanation:

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2 years ago

Read 2 more answers

A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha

morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

$x^2 +(x+7)^2=(x+9)^2\\\\$

Expand the terms in brackets

$x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81$

collect like terms

$x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0$

solve for x in the quadratic equation by factorization

$x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8$

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

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3 years ago

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Alenkinab [10]

Step-by-step explanation:

can I have actual options I can't figure it out with invalid options

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3 years ago

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Need help ASAP , midterm<br> - 60 points

malfutka [58]

Your answer is going to be 5.2

5 0

2 years ago