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2 years ago

Choose all of the items related to the spanish-american war

Mathematics

1 answer:

Olenka [21]2 years ago

7 0

Joseph Pulitzer

Rough Riders

The Philippines

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Expand (2 + a)9 using Pascal’s triangle.

Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

1 $(A + B) ^ 0$ = 1

1 1 $(A +B ) ^ 1 = 1A + 1B$

1 2 1 $(A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2$

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1 9 36 84 126 126 84 36 9 1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

$1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B$

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

$1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9$

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

$A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9$

Hope you can learn the method

5 0

3 years ago

What is the equation for this graph pls help me and pls make sure it’s right:))

SVETLANKA909090 [29]

Answer:

y = 5x + 4

Step-by-step explanation:

First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.

8 0

3 years ago

Read 2 more answers

Does this table represent an exponential function x 1 2 3 4 y -1 -8 -27 -64

k0ka [10]

$\bf \begin{array}{ccll}
x&y\\
\cline{1-2}
1&\stackrel{-1^3}{-1}\\\\
2&\stackrel{-2^3}{-8}\\\\
3&\stackrel{-3^3}{-27}\\\\
4&\stackrel{-4^3}{-64}\\\\
x&-x^3
\end{array}~\hspace{5em}\boxed{y=-x^3}~~\checkmark$

4 0

3 years ago

I really NEED HELP<br> Ill give you a brainiest if you guys help me ASAP because I dont understand

MAXImum [283]

Answer:

<h2>I think it is B if I am wrong i am <u><em>sooooo</em></u> sorry!</h2>

Step-by-step explanation:

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8 0

2 years ago

Read 2 more answers

Which choice is equivalent to the quotient below? √64/√4<br>a. √2<br>b. √4/4<br>c. √8/2<br>d. 4

Ksju [112]

Step-by-step explanation:

you did not even try a calculator to find the result ?

64 is 8×8 or 8².

so, sqrt(64) = 8.

similarly for 4 :

4 is 2×2 or 2².

so, sqrt(4) = 2

so,

sqrt(64)/ sqrt(4) = 8 / 2 = 4

so, d. is the right answer.

4 0

2 years ago