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2 years ago

Pls help me with this page I used all of my points

Mathematics

1 answer:

Travka [436]2 years ago

7 0

Alright so the first one involves in shading.

You can see that Jack and Renee have two bars with rectangles inside the bar.

Jack took 3/4 hours or in words, three out of four. So in Jack's bar, shade 3 boxes and leave one unshaded.

Renee took 2/3 or two out of three. Shade 2 boxes in Renee's bar and see the difference.

As you can see, Jack has more shade length than Renee and that could only mean one thing:

Jack took longer to fix the tire than Renee.

The symbol that represents this is 3/4 > 2/3

The second activity has the same case.

Water: 3/5 means that you have to shade three boxes and leave the other two unshaded.

Sports Drink: 4/6 means that you have to shade four boxes and leave the other two unshaded.

As you can see again, there is more sports drink than the water since the shade length is longer in the sports drink than on the water.

This meant that she poured in more sports drink than water.

The third activity is just as simple, you just need to visually make up your own sections. Do the shading then see which one is bigger then just input the sign (hint: the first one is < and the second one is >)

cheers

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Find a closed form for the generating function for each of these sequences. (assume a general form for the terms of the sequence

noname [10]

There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the $n$ -th term in the sequence:

$\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}$
$\implies a_n=\left\lfloor\dfrac n7\right\rfloor-1$

for $n\ge0$ .

So the generating function for this sequence might be

$G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n$

As to what is meant by "closed form", I'm not sure. Would this answer be acceptable? Or do you need to find a possibly more tractable form for the coefficient not in terms of the floor function?

4 0

3 years ago

the total cost of 4 pens and 7 mechanical pencils is $13.25 the cost of each pencil is $0.75 write an equation that could be use

balu736 [363]

4x+7y=$13.25
4x+ 7($0.75)

7 0

2 years ago

In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m

elixir [45]

Answer:

Measure of angle A is 27 7/9 degrees.

Step-by-step explanation:

Lets call measure of angle A is X-10

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0

2 years ago

The top of a coffee table is the shape of a rectangle the length of the top of the coffee table is 3.5 feet in the area is 10.5

velikii [3]

Area=length times width

area=10.5
length=3.5

10.5=3.5 times width
divide both sides by 3.5
3=width
width=3ft

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2 years ago

Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.

Keith_Richards [23]

Answer:

x^4 -53x^2 +108x +160

Step-by-step explanation:

If a is a zero, then (x-a) is a factor. For the given zeros, the factors are ...

p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

= (x^2 +9x +8)(x^2 -9x +20)

We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

p(x) = x^4 -53x^2 +108x +160

_____

The graph shows this polynomial has the required zeros.

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3 years ago