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3 years ago

3. Which unit of measure would you use to measure the distance from Frisco to Dallas?

Mathematics

1 answer:

zalisa [80]3 years ago

3 0

Answer:

Miles/Kilometers

Step-by-step explanation:

Any long unit of measurement cuz its far away

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

Answer:

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

Solution:

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago

Natalie has 300 cookies for a bake sale. She makes 8 more batches with 12 cookies in each batch. She sells 6 bags of cookies wit

vitfil [10]

Answer:

I would say it's not reasonable. the answer would be the first one

Step-by-step explanation:

6 0

2 years ago

Using quadratic form 6x^2-8x+3=0

LenaWriter [7]

x=8+sqrt-8/12, x=8-sqrt-8/12

I think...

5 0

3 years ago

Please helppppppppppppp

Serggg [28]

Answer:

101

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

Suplemetary angles

180-79=101

4 0

2 years ago

A youth group earns $600 for charity and decides to put it in a bank. Calculate the amount of money the group will have for each

igomit [66]

Based on the types of compounding and the interest rates, the following are true:

Part A - The group will have $750
Part B - The group will have $759.19

When using simple interest, the amount the group will have is:

= Amount x ( 1 + rate x number of years )

= 600 x ( 1 + 5% x 5)

= $750

When using compound interest, the group will have:

= Amount x ( 1 + rate) ^ Number of years

= 600 x ( 1 + 4%)⁶

= $759.19

In conclusion, compound interest yields more.

Find out more about compound interest at brainly.com/question/25263325.

4 0

2 years ago