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egoroff_w [7]
3 years ago
11

LABEL YOUR ANSWERS PART A and PART B

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

A) CF CP CT FP FT PT

B) 5/6 or ~83.3%

Step-by-step explanation:

A) Each letter combination lists the outcomes of 2 salads. Order doesn't matter so CF and FC are the same thing and do not need to be listed twice.

B) Using Part A we know that there are 6 outcomes of 2 salads. 5 out of those 6 outcomes serve chicken, pasta or both. Only the day that serves both Fruit and Tuna is there an outcome that doesn't have Chicken and/or Pasta.

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Write the product as a sum: 14cos(39x)sin(19x)
charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

4 0
3 years ago
Q: 9-16?? (Attached Image)
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7 0
3 years ago
What is the unit rate of 40 meters in 16 seconds?
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40 meters in 60 seconds could be expressed as

\frac{40 meters}{16 seconds}

So, in order to get the unit rate, we divide the numerator and denominator by 16.

\frac{40}{16} \\  \frac{40/16}{16/16} \\  \frac{2.5}{1} \\  \frac{2.5 meters}{1 second}

So, the unit rate is 2.5 meters per second (or every one second)
5 0
3 years ago
Read 2 more answers
Given p=3q which of these will be p if q is increased by 2?
MAXImum [283]

If we increase q by 2, it means that q becomes q+2.

So, p will become

p=3q \mapsto \bar{p}=3(q+2)=3q+6=p+6

So, the new value for p is 6 more than the previous one.

The second exercise looks a bit odd: if the sequence started with -100, then it would be

-100, -97, -94, -91, -88,...

And every term would be 3 more than the previous one, so the next term would be -85, but this doesn't appear in your option.

Also, the fact that the sequence starts with positive 100 is quite strange, because it is unrelated to the rest of the sequence.

Are you sure that the exercise is written correct? Or are there any typos?

8 0
3 years ago
I need a quick answer , someone please help
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Measurement a is 45
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