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2 years ago

9

Helpmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

1 answer:

alexandr402 [8]2 years ago

6 0

Answer:

B. 1.2×10^-3 mm

Step-by-step explanation:

What constitutes an "appropriate" unit depends on the use of the number. Since we're not told of any particular use, we might choose the smallest of the available units: mm.

1.2×10^-3 mm

_____

<em>Additional comment</em>

The most appropriate unit would be the one that eliminates the power-of-ten multiplier:

= 1.2 µm

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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 $k=6$

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

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2 years ago

The picture below shows a box sliding down a ramp:

Gennadij [26K]

Answer:

$AC=15.1\ ft$

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

so

$sin(68\°)=\frac{AB}{AC}$

substitute the values and solve for AC

$sin(68\°)=\frac{14}{AC}$

$AC=\frac{14}{sin(68\°)}$

$AC=15.1\ ft$

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2 years ago

The graph represents the piecewise function: f(x) = What is the domain and range of the function? Domain: Range:

White raven [17]

Answer:

domain: All real numbers

Range: all real numbers greater than or equal to 0

Step-by-step explanation:

Edge 2020

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1 year ago

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Bryan’s golf coach suggested he take some golf lessons. The Pro at Windy Fairways charges $20.00 per month plus $10.00 per lesso

Aneli [31]

Bryan has to take 8 classes for both Pro's to be the same price.

Step-by-step explanation:

Given,

Monthly charges of Pro at Windy = $20.00

Charges per lesson = $10.00

Let,

x be the number of lessons

W(x) = 10x +20

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They offer unlimited classes.

S(x) = 100

For the price to be same;

W(x) = S(x)

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Dividing both sides by 10

$\frac{10x}{10}=\frac{80}{10}\\x=8$

Bryan has to take 8 classes for both Pro's to be the same price.

Keywords: function, division

Learn more about division at:

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