Which if the following is a consequence of the identity sin 2x=2(sin x)(cos x ) ?A. sin y = (sin 1/2y)
B. sin 3y= 3( sin 2y)(cos y)
C. sin 4y= 2( sin 2y) ( cos 2y)
D. sin 4y= 4 ( sin 2y) ( cos 2y)
E. sin 8y= 2 ( sin 4y) (cos 2y)

Answers

Answer 1

Answer: $sin2x=2sinxcosx\n\nAnswer:C.\ sin4y=2sin2ycos2y\n\nbecause:\n\nsin4y=sin[2(2y)]=2sin2ycos2y$

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Give one equation that could generate the ordered pair (2,8)

Answers

1). x = 2

2). y = 8

3). y = 4x

4). y = 10x - 12

5). y = 2 x²

a line has the equation 8x-2y=24 in standard form.Rewrite the equation of the line in slope intercept form.Then report the slope and y intercept.

Answers

8x-2y=24
-8x -8x
-2y=-8x+24
----- ---- ----
-2 -2 -2
y=4x-12

slope: 4
y-intercept: -12

For the Christmas dance ,the dance committee needs three hours of music. Each song is an average of 3.5 minutes . how many song do they need

Answers

For the Christmas dance, they will need 51 songs.

What is average?

A number that is calculated by adding quantities together and then dividing the total by the number of quantities.

Given that, For the Christmas dance, the dance committee needs three hours of music. Each song is an average of 3.5 minutes.

Converting 3 hours into minutes,

1 hour = 60 minutes

3 hours = 60x3 = 180 minutes

Since, on song is of 3.5 minutes,

So, number of songs that will be played in 3 hours,

= 180/3.5

= 51.42

≈ 51

Hence, the party will have to play 51 songs.

For more references on average, click;

brainly.com/question/24057012

#SPJ2

an hour is 60 minutes

there are three hours so
60*3=180

how many times will 3.5 go into 180 so
180/3.5=51.43 or rounded up you get 52 songs (if they're good, they'll play 52 average songs and one half legnth songs)
so they will need 52 songs

if it takes juwan exactly 35 minutes by car to get to his grandmother's. the nearest parking area is a 4-minute walk from her apartment.one week, he realized that he spent 5 hours and 12 minutes traveling to her apartment, and then back Home. how many round trips did he make to visit his grandmother's?

Answers

He made 4 round trips to visit his grandmother.

Further Explanation

Step 1

Amount of time he spent to get to his grandmother’s = 35 minutes and extra 4-minute walk (and can be expressed as 35 + 4)

= 35 + 4

= 39

Step 2

To complete a round trip, the amount of time he spent to his grandmother’s will be multiply by 2

Therefore,

= 39 x 2

= 78

Total amount of time of a round trip = 78

Step 3

Amount of time he spent on a trip to her apartment and back home = 5 hours and 12 minutes

To determine that, 5 hours will be added to 12 minutes

Therefore,

Since 1 hour = 60,

Then, (5 x 60) +12

= (5 x 60) + 12

= 300 + 12

= 312

Amount of time he spent on a trip to her apartment and back home = 312

Step 4

To determine how many round trip he made, the amount of time he spent on a trip to her apartment and back home (312) will be divided by the total amount of time of a round trip (78) i.e. 312 ÷ 78

= 312 ÷ 78

= $(312)/(78)$

= 4

Therefore Juwan made a total of 4 round trips to his grandmother’s place.

LEARN MORE:

The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second brainly.com/question/12224558
It takes Juwan exactly 35 minutes by car to get to his grandmother's brainly.com/question/10739583

KEYWORDS:

juwan
apartment
4-minute walk
grandmother
parking area
round trips

1 Round Trip = 2(35 min + 4 min) = 78 min

Total time spent travelling:
(5 hrs * 60 min/hr) + 12 min = 312 min

Number of Round Trips:
(312 min)/(78 min) = 4 round trips

4. Here are the ingredients needed to make 12 shortcakes.Shortcakes
Makes 12 shortcakes
50 g of sugar
200 g of butter
200 g of flour
10 ml of milk
Liz makes some shortcakes.
She uses 25 ml of milk.
(a) How many shortcakes does Liz make?

Answers

The answer is 30 shortcake

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partial sum of the series, as a quadratic function, where x represents the term number.

Answers

Answer: 3x2 + 51x

Step-by-step explanation:

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=(a_1+a__n)/(2)\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=(51+48+3(2n-1))/(2)\cdot n=(99+6n-3)/(2)\cdot n=(96+6n)/(2)\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

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