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3 years ago

Can so.one help me with these 2 questions please

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

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eeeeeeeeeeeeeeeeeeeeeeStep-by-step explanation:

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What is the coefficient of the term x7y in the expansion of (x + y)^8?

s344n2d4d5 [400]

The coefficient for x^7*y is equal to 8Choose7 which is 8!/7! which is 8, or answer b. Pascal's triangle may be used to capture this as well, or use the exponent as above.

3 0

3 years ago

12.

IrinaVladis [17]

Answer:

Length of the room is 180 ft

Step-by-step explanation:

We have a rectangular room with dimensions:

width = 70 ft and length "x" (unknown)

Perimeter of a rectangle is 2*w + 2*x and according to problem statement 500 ft of lights will fit exactly in room perimeter then:

2*70 + 2*x = 500

140 + 2*x = 500

2*x = 500 - 140

2*x = 360

x = 360/2

x = 180 ft

5 0

3 years ago

Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: 110 feet per second

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

2 years ago

Solve the following systems of equations. 2= 2y + 5 | 3y - 3x = -12

ivanzaharov [21]

Answer:

x=5/2, y=-3/2. (5/2, -3/2).

Step-by-step explanation:

2=2y+5

3y-3x=-12

--------------

2-5=2y

2y=-3

y=-3/2

3(-3/2)-3x=-12

-9/2-3x=-12

3x=-9/2-(-12)

3x=-9/2+12

3x=-9/2+24/2

3x=15/2

x=(15/2)/3

x=(15/2)(1/3)

x=15/6=5/2

7 0

3 years ago

A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increas

Mazyrski [523]

I believe it would be 6 due to the radius being a half of the actual circumfrence

3 0

2 years ago

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Can so.one help me with these 2 questions please ​

Can so.one help me with these 2 questions please