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Luden [163]
3 years ago
14

A counterexample for the expression sin y tan y= cos y is 0.

Mathematics
2 answers:
DiKsa [7]3 years ago
5 0

Answer:true

Step-by-step explanation:

edge

umka21 [38]3 years ago
3 0

Answer:

True

Step-by-step explanation:

To answer this question we must evaluate

y = 0° on both sides of the equation.

For the left side we have:

sin(0\°) tan(0\°)

We know that tan(0\°) =\frac{sin(0\°)}{cos(0\°)}

We know that cos(0\°) = 1 and sin(0\°) = 0.

Therefore tan(0\°) = 0.

Then the left-hand side of the equals is equal to zero.

On the right side we have:

cos(y)

When evaluating cos(y) at y = 0

We have to cos(0\°) = 1.

0 ≠ 1

The equation is not satisfied. Therefore y = 0 ° is a counterexample to the equation

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Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.
nikdorinn [45]

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

\displaystyle S = \frac{k}{2}\left( a + x_k\right)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}

In conclusion, the sum of the arithmetic series is 2717.

3 0
3 years ago
The depths of water, at the edge of a pier, at different times of day, are represented by the table below. Which of the followin
s344n2d4d5 [400]
The best answer is C) y=4.75 * cos(0.52x - 2.08) + 7.65

Unfortunately, the two only ways to solve this problem are to either graph all the options or plug in time values for x and see which agrees the most with the tide chart. Both are time-consuming, but I chose to graph each one with a graphing application. 
Plugging in a few values for x confirms that C is the best function. 
12pm (x=0)
y = 4.75 * cos(0 - 2.08) + 7.65
y = 5.334
2pm (x=2)
y= 6.5
4pm (x=4)
y=12.4
It is not a perfect representation, but the shape of the graph and closeness to the points given is the best of the four options provided. 

4 0
4 years ago
There is the picture of the problem i’m really having trouble with it could someone help me plz :)
blondinia [14]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

<em>✴</em><em>Have</em><em> </em><em>a</em><em> </em><em>great</em><em> </em><em>day</em><em>✴</em><em>✴</em>

6 0
3 years ago
Justin and Austin decide to play catch after school. They start at the same point.
Deffense [45]
I think it’s A


a^^^^
8 0
3 years ago
Read 2 more answers
1. Multiply. (x^2-3x+4)(-2x^2+4x-1) Express your answer in standard form.
gregori [183]

Hi,

Your answer would be: −2x4+10x3−21x2+19x−4

Hope I could help!~ have a good day/night :]

3 0
2 years ago
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