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german
3 years ago
11

Julie is a wedding coordinator. She is selecting the menu options for the reception.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

Your answer would be D, or 36 outcomes.

To do this, multiply together the quantity of options each course has. The first course has 3 choices, the main has 4, and the dessert has 3.

Multiplying these: 3 * 4 * 3, would get the answer of 36 outcomes.

Explanation:

To see why this is done, just take 2 courses as an example. The first course has 3 different options, and then for each one of those options, there is a pairing with 4 different main course options. For example, there's salad + 4 choices, soup + 4 choices, and bread + 4 choices.

Therefore, you would end up multiplying 4 choices by 3 times (or the 3 choices of the first course) to get your answer. Applying this in this scenario, there are then 3 paths after the first two courses, so you would just multiply 3*4*3.

Hope this helped!

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How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
Zarrin [17]

By first principles, the derivative is

\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h

Use the binomial theorem to expand the numerator:

(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n

(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

Finally, each term containing h approaches 0 as h\to0, and the derivative is

y=x^n\implies y'=nx^{n-1}

4 0
4 years ago
What is equation of the line that passes through the point (-3,8) and has an undefined slope
aniked [119]

The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3

<u>Solution:</u>

Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope

Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.

If the slope of the line is undefined, then, by definition the line is a vertical line.

For a vertical line, the value of  x  is the same for each and every value of  y

Given point is (x, y) = (-3 , 8)

Because the value of  x  in the point provided in the problem is -3, we get

Equation of line is : x = -3

8 0
4 years ago
274,635 rounded to the nearest thousands
Firlakuza [10]

275000 is your answer

hope it help

6 0
3 years ago
In the regual nonagon shown, what is the measure of angle x?
andre [41]
The sum of the interior angles of a polygon is (n-2)*180, n being the number of sides.
a nonagon has nine sides, so the total of interior angles is (9-2)*180=7*180
this is a regular nonagon, so each interior angle has the same degrees:
7*180/9=7*20=140
the exterior angle=180-the interior angle=180-140=40
40 is the correct answer.
4 0
4 years ago
Subtract.<br> (4x + 7) - (x+1)<br> A. 3x + 8<br> B. 3x + 6<br> C. 4x + 8<br> O D. 4x + 6<br><br> Lmk
Studentka2010 [4]

Answer:

4x + 7 - ( x + 1)

Remove the bracket

We get

4x + 7 - x - 1

= 3x + 6

That's option B

Hope this helps.

8 0
3 years ago
Read 2 more answers
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