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3 years ago

8

Which graph represents f(x) = 6 cos (4pix)

1 answer:

vazorg [7]3 years ago

5 0

Look at the picture below!!

If this helped mark me brainliest pls!!

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

jasenka [17]

<u>Answer:</u>

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

<u>Solution: </u>

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

1. Si Luisa come más torta que Cris, María come más torta que Cris y menos que Rosa, pero ella come más que Luisa. ¿Cuál de ella

shusha [124]

Cris come menos pastel

4 0

3 years ago

What is the probability of getting either blue or green on a spinner that is 3/10 greens and 1/5 blue?

Semmy [17]

Answer:

1/2 or 0.50

Step-by-step explanation:

To find the probability of getting either blue or green on a spinner, we must add both probabilities together.

$\frac{3}{10}+\frac{1}{5} = ?$

To make adding our two fractions easier, we need to make sure they have like denominators.

$\frac{1*2}{5*2} =\frac{2}{10}$

Now that the denominators of our probabilities are the same, we can add them together to get our answer.

$\frac{3}{10} +\frac{2}{10}=\frac{5}{10}$

$\frac{5}{10} =\frac{1}{2}$ or $0.50$

5 0

3 years ago

Anyone please help me i'm not sure how to do this and please give clear instructions

rewona [7]

-10= 7X - 42
-10 + 42 = 7X
32 = 7X
X = 32/7
X = 4.57

7 0

3 years ago

A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight va

-BARSIC- [3]

The associated z score for filling to 10.98 oz. is -1.16.

<h3>Z score</h3>

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation.

Given that μ = 12.01, σ = 0.89, hence:

For x = 10.98:

z = (10.98 - 12.01)/0.89 = -1.16

The associated z score for filling to 10.98 oz. is -1.16.

Find out more on Z score at: brainly.com/question/25638875

4 0

3 years ago