Find the exact solutions of the equation in the interval [0, 2pi). (Enter your answers as a comma-separated list.)
sin 2x sin x = COS X

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

Answer:

The exponent of an expression says how many times to multiply the expression.

[tex]\implies (y-7)^2=(y-7)(y-7)[/tex]

Expand the brackets:

[tex]=y^2-7y-7y+49[/tex]

Combine like terms:

[tex]=y^2-14y+49[/tex]

- - - - - - - - - - - - - - - - - - - - - - -

[tex]y^2-49=(y+7)(y-7)[/tex]

Using "Difference of Two Squares" [tex]a^2-b^2=(a+b)(a-b)[/tex]

Answer:

0

Step-by-step explanation:

because a triangle has three angles that equal two 180 degrees

Answer:

the answer is in the link

Step-by-step explanation:

The formula for the number of tickets sold, 600 - 10·p, gives the

revenue at a given number of tickets as 600·p - 10·p².

The number of tickets sold = 600 - 10·p

The revenue = Ticket price × (600 - 10·p)

The completed table is presented as follows;

[tex]\begin{array}{c|c|c|}Ticket \ price \ (dollars)&Number \ of \ tickets&Revenue \ (dollars)\\10&600 - 10 \times 10 = 500&10 \times 500 = 5000\\15&600 - 10 \times 15 = 450&10\times 450 = 4500\\20&600 - 10 \times 20 = 400&10 \times 400 = 4000\\30&600 - 10 \times 30 = 300&10 \times 300 = 3000\\35&600 - 10 \times 35 = 250&10 \times 250 = 2500\\45&600 - 10 \times 45 = 150&10 \times 150 = 1500\\50&600 - 10 \times 50 = 100&10 \times 100 = 1000\\60&600 - 10 \times 60 =0&10 \times 0 = 0\\p\end{array}\right][/tex]

The general formula for the revenue, given a number of tickets sold of 600 - 10·p is therefore;

Therefore, when the ticket sold is p, we have;

Learn more about functions here:

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The completed table is as follows:

Ticket price (dollars) Number of tickets  Revenue (dollars)

10                                   500                        5000

15                                   450                        6750

20                                  400                         8000

30                                  300                         9000

35                                  250                         8750

45                                   150                          6750

50                                  100                           5000

To complete the table and find out the number of concert tickets the band expects to sell and the revenue it expects to receive at the given ticket prices.

we need to use the provided information that the band predicts selling 600 - 10p concert tickets when each ticket is sold at p dollars.

The number of tickets sold = 600 - 10·p

The revenue = Ticket price × (600 - 10·p)

By plugging the value of ticket price we find the number of tickers and revenue.

If ticket price is 10.

Then plug in p =10 to find the number of tickets sold in the equation.

The number of tickets sold = 600 - 10·p

=600-10(10)

=500

Revenue = 10(600-10(10))

=10(500)

=5000

Similarly we fill the table by using this format.

To learn more on Equation:

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#SPJ6

Answer:

17

Step-by-step explanation:

Jason is 15 his sister 4 years younger: 15-4=11+(6years)=17

Answer:

10 months of savings gets you $125

y=12.5x x=months 12.5=amount for one month y is a total over a certain amount of months

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Here

#1

(10,125)

#2

Take 2 points

[tex]\\ \rm\rightarrowtail m=\dfrac{125}{10}=25/2[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y=25/2(x)[/tex]

[tex]\\ \rm\rightarrowtail 2y=25x[/tex]

Answer: 320 g

Step-by-step explanation:

We can set up a ratio.

Let the amount of oats equal to x.

18/240 = 24/x

We can now cross multiply.

18x = 5760.

x = 320 g

Answer:

[tex]320\ g[/tex]

Step-by-step explanation:

Start by setting up a ratio:

[tex]\frac{\text{amount of oats}}{\text{number of pancakes}}=\frac{\text{amount of oats}}{\text{number of pancakes}}[/tex]

[tex]\frac{240g}{18\text{ pancakes}}=\frac{xg}{24\text{ pancakes}}[/tex]

Cross multiply (Multiply the numerator of the first fraction by the denominator of the second and vice versa):

[tex]240*24=18*x\\5760=18x\\\text{Divide both sides by 18}\\x=320\ g[/tex]

Answer:

Step-by-step explanation:

the set is : {1,2} the  power is 2²

Answer : None of these

This neither adds up to 180° nor 90°

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given pair of angles adds up to (32° + 48°) = 80°, therefore they doesn't form any special angle pair. so the Correct choice is None of these.

Answer:

the branch of technology that deals with dimensions and tolerances of less than 100 nanometers, especially the manipulation of individual atoms and molecules.

You would pay $0.6 for one notebook if you wanted the best deal

The prices of notebooks in both stores are given as:

Store A

$9 for 14 notebooks.

Store B

$3 for 5 notebooks.

Next, we calculate the unit rate for both stores

[tex]A = \frac 9{14}[/tex]

[tex]A = 0.643[/tex]

[tex]B = \frac 35[/tex]

[tex]B = 0.6[/tex]

0.6 is less than 0.643.

This means that store B has the best deal

Hence, you would pay $0.6 for one notebook if you wanted the best deal

Read more about unit rates at:

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Answer:

[tex]\huge\boxed{\sf{w=-16}}[/tex]

Step-by-step explanation:

Hello.

In order to solve this equation, we need to divide both sides by 4:

4w=-64

w=-16

I hope it helps.

Have a great day. :)

[tex]\boxed{imperturbability}[/tex]

Answer:

The choice B. w = -16

Step-by-step explanation:

[tex]4w = - 64 \\ \\ w = - \frac{64}{4} \\ \\ w = - \frac{64 \div 4}{4 \div 4} \\ \\ w = - 16[/tex]

Answer: start point will be 60 which is between 40 and 80 and go up files point to 80 then the second will be 40.

and go files point to between 80 and 120 then the second point will be 80

Step-by-step explanation:

[tex][Hello,BrainlyUser][/tex]

Answer:

Large Angle = 63

Step-by-step explanation:

Complementary Angle = 90 °

x + x + 36 = 90

2x = 54

x = 27

Large Angle : 27 + 36 = 63

Smaller number =27

[CloudBreeze]

Answer:

OhGeesy and Shordie Shordie

Answer:

well honestly MY favorite is Molly slow and reverb from wokstar.But there's a lot tho

Answer:

what he works 40 hours overtime? im a little confused by the question but if he works 40 hours overtime then his gross pay would be $14,601.00.

Step-by-step explanation:

in order to calculate gross time you must first

Determine the actual number of hours worked.

Multiply the number of hours worked by the hourly wage.

If there is overtime, multiply the number of overtime hours worked by the overtime pay rate.

Add regular pay and overtime pay together to find the gross pay for that pay period.  hope this helps :) if not comment let me know

Answer:

762.6

Step-by-step explanation:

If he gets paid 18.60 per hour and he worked 41 hours then his total pay is $762.6

Here ,300 people present in library are asked to choose their favourite book and we have to tell how many choosed mystery as their favourite book ?

Before solving these type of questions , have a look on the pie chart , from their we got that , 16% of 300 have choosed mystery as their favourite book.

Now , 16% of 300 = (16/100)×300 = 16×3 = 48

So , 48 people choosed mystery as their Favourite book .

Hence , Option C) 48 is correct

Answer:

C) 48

Step-by-step explanation:

16% out of 100% choose mystery

So

[tex] \frac{16}{100} \times 300 = 48[/tex]

Answer:

The choice C.

[tex]1 \frac{11}{20} [/tex]

Step-by-step explanation:

[tex]3 \frac{4}{5} - 2 \frac{1}{4} \\ \\ \frac{19}{5} - \frac{9}{4} \\ \\ \frac{76}{20} - \frac{45}{20} = \frac{31}{20} = 1 \frac{11}{20} [/tex]

It is

log 39=2

Explanation:

By definition the logarithmic form

log bx=y is equivalent to the exponential form

by=x

Hence from the given 32=9 you have b=3 , y=2 , x=9

hence the logarithmic form is

log 3 9=2

Answer:

All except the 3rd

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Multiply seven by 12 and you get your answer

Please mark brainlest

Answer:

( 7 , 4 )

given:

make y the subject in equation 2:

4x - y = 24

-y = 24 - 4x

y = 4x - 24

insert this in equation 1:

4x + 10y = 68

4x + 10(4x - 24) = 68

4x + 40x - 240 = 68

44x = 68 + 240

44x = 308

x = 7

solve for y:

y = 4x - 24

y = 4(7) - 24

y = 4

Answer:

7 Months and 15 Days

Step-by-step explanation:

The months that you chose had all 31 days, besides april. So you add them all up and just add the remainder into your answer.

Answer: 25

Step-by-step explanation: 1/2 of 20 equals 1/2 x 20, equals 20/2, equals 10. 15 + 10 = 25.

Answer:

25

Step-by-step explanation:

why? cause someone already said it.

Answer:

is that question complete?????

Answer: The degree of 15y+v4-8 is 1

Step-by-step explanation: Hope this helps in your studies!

Answer:

Sales tax is 6%

The cost of the oven is $362

Sales tax for the oven will be 6% of $362

=6/100 x $362

=0.06 x $362

=$21.72

Step-by-step explanation:

Answer:

He travelled 99 miles and has 351 miles to travel

Step-by-step explanation:

Here,

22/100×450

=22/2×9

=11×9

=99 miles travelled

Again,

450 miles - 99 miles

= 351 miles left to travel

(would appreciate it if you could mark me the brainliest :))

Answer:

Terrence has traveled 99 miles.

He still has 351 miles to go.

Step-by-step explanation:

Change 22% to a decimal by moving the decimal point two places to the left, or dividing by 100.

22% is .22

or 22/100 is .22

Multiply.

.22 × 450 = 99

Terrence traveled 22 miles.

His trip will be 450 miles. Subtract.

450 - 99 = 351

He has 351 miles to go.

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Answer:

$356.40

Step-by-step explanation:

Simply multiply 330 by 8% on a calculator:

330*1.08=356.4

The tax rate is the percentage of an income or an amount of money that has to be paid as tax. These officials prefer lower tax rates on capital gains. The budget may bring down the corporate tax rate from 35 percent to 30 percent, the peak rate of individual tax.