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Oksanka [162]
2 years ago
14

Sin³xcosx+sinxcos³x=sinxcosx

Mathematics
1 answer:
Svetllana [295]2 years ago
6 0

Answer:

Step-by-step explanation:

sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x

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18 is 240% of what? basic percent equation ...?
pshichka [43]
18 = (240/100) x what;
what = 18 x (100/240);
what = 1800/240;
what = 7.5;
6 0
3 years ago
Read 2 more answers
Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet:
Phoenix [80]

6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

<u>Step-by-step explanation:</u>

We have , Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet: 1.25 cups of dry food. Based on these averages . We need to find  how many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks . We need to find how much they eat for 14 days as:

Trenton's pet: 4/5 cup of dry food•

With 4/5 per day , for 14 days :

⇒ 14(\frac{4}{5} )

⇒ 14(0.8 )

⇒ 11.2

Maria's pet: 1.25 cups of dry food.

With 1.25 per day , for 14 days :

⇒ 14(1.25 )

⇒ 17.5

Subtracting Maria's - Trenton's :

⇒ 17.5-11.2=6.3

That means , 6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

3 0
3 years ago
Alejandro loves to go to the movies .He goes both at night and during the he day
Alex17521 [72]

The number of matinee movies attended is 4.

The number of a evening show movies attended is 2.

<u>Step-by-step explanation:</u>

  • Let x represent the number of matinee movies attended.
  • Let y represent  the number of evening show movies attended.
  • Alejandro went to see a total of 6 movies.

Therefore, from the given data the equation can be framed as :

⇒ x + y = 6  ----------(1)

  • The cost of a matinee is $7.
  • The cost of an evening show is $12.
  • Alejandro spent a total of $52.

Therefore, from the given data the equation can be framed as :

⇒ 7x + `12y = 52  ---------(2)

<u>To solve the equations for x and y values :</u>

Mulitply eq (1) and by 7 and subtract eq (2) from eq (1),

  7x + 7y = 42

- <u>(7x + 12y = 52)</u>

  <u>     - 5y = - 10 </u>

⇒ y = 10/5

⇒ y = 2

The number of a evening show movies attended is 2.

Substitute y=2 in eq (1),

⇒ x+2 = 6

⇒ x = 6-2

⇒ x = 4

The number of matinee movies attended is 4.

8 0
2 years ago
What is the equation of this line?
QveST [7]

Answer:

y = (1/2)x - 3     Answer A is closest.  

Step-by-step explanation:

Two points on the line are (0, -3) and (4, -1).  Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier.  The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.

Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2.  Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.

The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):

y = (1/2)x - 3

Answer A should be y = (1/2)x - 3 for improved legibility.  1 2 x is not correct as a way to express (1/2)x.

6 0
3 years ago
Read 2 more answers
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is
yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

H_{0}: \mu = 434

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

H_{a}: \mu < 434

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that \mu = 434

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that X = 431, n = 9, \sigma = \sqrt{144} = 12

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}

z = -0.75

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0
2 years ago
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