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3 years ago

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In 2010, the number of participants in a checkers tournament was 2.6x10^4 people. In 2013, the number of participants in a check

ers tournament was 5.2x10^5 people. By what factor did the number of participants increase from 2010 to 2013?

1 answer:

andrezito [222]3 years ago

6 0

10^4*2.6= 26000
10^5*5.2=520000
520000-26000
=494000

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let x1,x2, and x3 be linearly independent vectors in R^(n) and let y1=x2+x1; y2=x3+x2; y3=x3+x1. are y1,y2,and y3 linearly indep

Nutka1998 [239]

Answer with Step-by-step explanation:

We are given that

$x_1,x_2$ and $x_3$ are linearly independent.

By definition of linear independent there exits three scalar $a_1,a_2$ and $a_3$ such that

$a_1x_1+a_2x_2+a_3x_3=0$

Where $a_1=a_2=a_3=0$

$y_1=x_2+x_1,y_2=x_3+x_2,y_3=x_3+x_1$

We have to prove that $y_1,y_2$ and $y_3$ are linearly independent.

Let $b_1,b_2$ and $b_3$ such that

$b_1y_1+b_2y_2+b_3y_3=0$

$b_1(x_2+x_1)+b_2(x_3+x_2)+b_3(x_3+x_1)=0$

$b_1x_2+b_1x_1+b_2x_3+b_2x_2+b_3x_3+b_3x_1=0$

$(b_1+b_3)x_1+(b_2+b_1)x_2+(b_2+b_3)x_3=0$

$b_1+b_3=0$

$b_1=-b_3$ ...(1)

$b_1+b_2=0$

$b_1=-b_2$ ..(2)

$b_2+b_3=0$

$b_2=-b_3$ ..(3)

Because $x_1,x_2$ and $x_3$ are linearly independent.

From equation (1) and (3)

$b_1=b_2$ ...(4)

Adding equation (2) and (4)

$2b_1==0$

$b_1=0$

From equation (1) and (2)

$b_3=0,b_2=0,b_3=0$

Hence, $y_1,y_2$ and $y_3$ area linearly independent.

5 0

3 years ago

It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bott

Setler [38]

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

5 0

3 years ago

5 1/2 <br> -<br> 3 3/4<br> ______

eimsori [14]

So first you want to convert both to have the same denominator.

5 1/2 - 3 3/4

To:

5 2/4 - 3 3/4

Now, to make it easier for me, I would convert both to an improper fraction.

5 2/4 -> 22/4

3 3/4 -> 15/4

So now you can just do,

22/4 - 15/4,

which is just 7/4.

This in mixed number form is 1 3/4.

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3 years ago

Read 2 more answers

(g + a)2<br> g = -5 and a = 25 <br> Evaluate expression:

agasfer [191]

-5+25 is (20) and it’s in the parenthesis so it’s still connected by multiplication. your answer is 40.

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3 years ago

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Find the equation of the line shown.

dedylja [7]

Answer:

f(x)=2x

Step-by-step explanation:

You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.

8 0

3 years ago