Jason jumped 623 feet in a jumping contest. Yolanda jumped 434 feet. How much farther did Jason jump than Yolanda?

Answer:

1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]

Step-by-step explanation:

For the expansion of [tex](1+y)^{8}[/tex]

Using the row of Pascal's triangle for n = 8 , that is the coefficients are

1  8  28  56  70  56  28  8  1

Decreasing powers of 1 from [tex]1^{8}[/tex] to [tex]1^{0}[/tex]

Increasing powers of y from [tex]y^{0}[/tex] to [tex]y^{8}[/tex]

Then

[tex](1+y)^{8}[/tex]

= 1 . [tex]1^{8}[/tex].[tex]y^{0}[/tex] + 8. [tex]1^{7}[/tex].[tex]y^{1}[/tex] + 28. [tex]1^{6}[/tex].y² + 56. [tex]1^{5}[/tex].y³ + 70. [tex]1^{4}[/tex].[tex]y^{4}[/tex] + 56. 1³.[tex]y^{5}[/tex] + 28. 1².[tex]y^{6}[/tex] + 8. [tex]1^{1}[/tex].[tex]y^{7}[/tex] + 1. [tex]1^{0}[/tex].[tex]y^{8}[/tex]

= 1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]

Answer:

Step-by-step explanation:

Given binomial

Expanding using Pascal triangle (attached)

Replace a and b with y and 1 in the bottom row of the triangle

Answer:

5/3

Step-by-step explanation:

The slope is the coefficient next to the x. Therefore, the slope is 5/3.

Answer:

m= 5/3

Step-by-step explanation:

Math wizzz

Worked it out

And online calculator verified!

Answer:

Step-by-step explanation:

when  1/2 inch equals 4 feet the room is  2.25 inches, then

2 1/4 = 8/4 + 1/4  = 9/4

9/4 inches is the scale distance of the room

each 1/2 inch is 4 feet so divide  9/4 by 1/2 then multiply that by 4 to find the distance of the room

9/4 ÷ 1/2  = 9/4

9/4 * 2/1 = 18/4

18/4 = 9/2

9/2 * 4 feet = 9/2 * 4/1

9/2 * 4/1 = 36/2

36/2=18

the room is 18 feet across

then if the scale is 2/3 of an inch is  4 feet , then

2/3 * 9/4 = 18/12

18/12 = 3 inches  is the scale size of Quinto's room

Answer:

okay here is the answer but no work shown

x= -16

Answer:

A, b, c, y are linear becouse every value of domain has one value in range

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

72038302229877777389Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 72°

y = 61°

Answer: A = 396 tons

B = 70 tons

Step-by-step explanation:

From the question,

Weight of A + Weight of B = 466

Weight of A - Weight of B = 326

A + B = 466 ......... i

A - B = 326 ..........ii

Subtract equation ii from I

2B = 140

B = 140/2

B = 70 tons

A = 466 - 70

A = 396 tons

Answer:

The volume is 216 cm³

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Answer:

5

Step-by-step explanation:

(125) ^ (1/3)

We can rewrite 125 as 5^3

( 5^3) ^ 1/3

We know that a^b^c =a ^ (b*c)

5 ^(3*1/3)

5^ 1

5

Answer:

5

Step-by-step explanation:

when something is to the power of 1/2, that means you square root it

when it is to the power of a third, that means you cube root it.

for example, if it is 25 to the power of a half, that means [tex]\sqrt{25} = 5[/tex] because

5 x 5 = 25

this is the same concept

we need to find a number that multiplies itself 3 times and equals to 125

5x5x5 = 125, meaning that

125 to the power of a third, is 5.

Answer:

455

Step-by-step explanation:

I answered first, but forgot to answer here.

Answer:

2405 miles

Step-by-step explanation:

370÷10 = 37

37×65 = 2405

Answer and Step-by-step explanation:

The answer that we have agreed upon is answer choice 2, C, A, B.

This is because the first distance is found, and could possibly be the hypotenuse, noted as C, then the other two sides are created, becoming the legs of a triangle, noted as A and B respectively.

I hope this helps and is correct!

#teamtrees #PAW (Plant And Water)

Answer:

[tex] \frac{3}{8} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div 2 \\ \\ = \frac{3}{4} \times \frac{1}{2} \\ \\ = \frac{3 \times 1}{4 \times 2} \\ \\ = \frac{3}{8} [/tex]

Answer: It is D

Step-by-step explanation: its is the placement Pretty basic.

Answer: D

Step-by-step explanation:

ap3x verified!!!

Answer:

20) a) 6.8 b) 7

21) a) 26.2 b) 26

22) a) -7.8 b) -8

23) a) -10.2 b) -10

24) a) 2.6 b) 3

25) a) -12.9 b) -13

9) Real number

10) Real number

11) Real number

12) Real number

13) Real number

14) Real number

15) Not a real number

16) Real number

Explanation

In order to find the estimated integer of a square root, you simply find the perfect squares closest to the specified square root. For example, the closest perfect squares to [tex]\sqrt{46}[/tex] are [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex]. Now, we need to find which perfect square is the closest between those two. 46 and 36 have a difference of 10, while 46 and 49 have a difference of 3. So, we know that 49 is the closest perfect square. Now, we simplify

Answer:

20

Step-by-step explanation:

The ratio of red : yellow is 3 : 4 = 3x : 4x ( x is a multiplier )

If 3 red counters are removed then

red : yellow = 3x - 3 : 4x = 3 : 5

Expressing in fractional form

[tex]\frac{3x-3}{4x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(3x - 3) = 12x

15x - 15 = 12x ( subtract 12x from both sides )

3x - 15 = 0 ( add 15 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

number of yellow counters = 4x = 4 × 5 = 20

Answer:

Discount price= $14.4

Step-by-step explanation:

Giving the following information:

Original selling price= $18

Discount rate= 20% = 0.2

To calculate the discount price, we need to use the following formula:

Discount price= selling price * (1 - discount rate)

Discount price= 18 * (1 - 0.2)

Discount price= $14.4

Answer:

Step-by-step explanation:

Answer:

Let's solve your equation step-by-step.

x

15

=

3

5

Answer:

x=9

Step-by-step explanation:

Answer:

D.

Hope that helps!

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Hope this helps

Answer:

$27.48

Step-by-step explanation:

He buys 1 shirt at 12.94 and gets one at 6.47

He does this 2 times and the total is 25.88

That times 1.062 to factor in the 6.2 percent tax rate is 27.48

So first you do:

.5 x 12.94=6.47

Next:

6.47 x 2=12.94

Then:

12.94 x 3=38.82

Now you have to do the tax:

38.82 x .062=2.41

After you get the answer for tax you have to add that to the price with out tax:

So, 38.82+2.41

=41.23

So you answer is 41.23 including the discount and tax

Answer:

can't see the question love

Answer: -324.4

Step-by-step explanation:

Answer:

90% sure it's 5/7

Step-by-step explanation:

Answer:

S,R,Q

Step-by-step explanation:

Answer: All three methods would be easy and effective

Step-by-step explanation: