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3 years ago

Which expression is another way to show 9/2

Mathematics

2 answers:

Katena32 [7]3 years ago

7 0

In decimal: 4.5 In mixed form: 4 1/2

Kipish [7]3 years ago

3 0

4 and a half.
4.5

Hope this helps a bit.

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For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

4 years ago

Help ASAP I need the answers please

Maksim231197 [3]

Answer:

chvh hcxitxixgo oycoxcj oxgc xig xig icg

3 0

3 years ago

Find the slope of the line that passes through

Andreyy89

Answer:

-1/3

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(-2 + 1) / (2 + 1)

-1/3

So, the slope is -1/3

7 0

3 years ago

The value of the 2 in 2,483,097 is how many times the value of the 2 in 237,549?

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

$\frac{2,000,000}{200,000} =10$

4 0

4 years ago

Read 2 more answers

Question 3 (1 point)<br> Find the value of x for the right triangle.<br> 15<br> 30°<br> Х

Marina86 [1]

Answer:

x = 8.7

Step-by-step explanation:

Reference angle = 30°

Opposite side length = x

Adjacent side length = 15

Apply trigonometric function, TOA:

Tan 30° = Opp/Adj

Plug in the values

Tan 30° = x/15

Multiply both sides by 15

15*Tan 30° = x

8.66025404 = x

x = 8.7 (nearest tenth)

6 0

3 years ago