Why does y=cos(2x)sin(2x) simplify to y=sin(4x)/2 for derivatives?

1) If x= 4.2 and y = 5, what is the value of the expression

____ [38]

Answer:

Step-by-step explanation:

y-x=0.7

y=x+0.7, so lets plug in that into the expressions instead of y

1)

(y-x)=

x+0.7-x=

x+0.7+(-x)=

x+(-x)+0.7=

x-x+0.7=

0.7

2)

(x-(x+0.7))/((x+0.7)-x)=

(x-x+0.7)/(x+0.7-x)=

(x-x+0.7)/(x+0.7+(-x))=

(x-x+0.7)/(x+(-x)+0.7)=

(x-x+0.7)/(x-x+0.7)=

0.7/0.7=

1

3 0

2 years ago

There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the ni

Stels [109]

Answer:

There are 1716 ways the three positions can be filled by these applicants.

Step-by-step explanation:

Permutation is the number of arrangement of <em>k</em> items from <em>n</em> distinct items.

$^{n}P_{k}=\frac{n!}{(n-k)!}$

For example, permutation can be used to compute the number of ways to arrange 4 mathematics books together when arranging all the 7 books on a shelf.

In this case there are 3 available nursing positions to be filled.

A total of 13 candidates are qualified for all the three positions.

Then the number of ways the 3 positions can be filled by the 13 candidates can be determine using permutation.

Compute the possible number of selections as follows:

$^{13}P_{3}=\frac{13!}{(13-3)!}=\frac{13!}{10!}=\frac{13\times 12\times 11\times 10!}{10!}=1716$

Thus, there are 1716 ways the three positions can be filled by these applicants.

3 0

2 years ago

How can i solve 3x - 7 = 3x + 1

deff fn [24]

Answer:

there are no values of x that make the equation true so there is no solution

4 0

2 years ago

Read 2 more answers

Given that RT - WX, which statement must be true?

Andrei [34K]

Answer:

Since RT ≅ WX, RT and WX are congruent; in other words they are completely equal for all purposes. Given that, we can substitute RT with WX in the equations and solve them to check which one is valid. The valid equation will be to true statement.

Step-by-step explanation:

For RT + TW = WX + TW

Step 1 replace RT with WX

RT + TW = WX + TW

WX + TW = WX + TW

Step 2 subtract TW from both sides of the equation

WX + TW - TW= WX + TW -TW

WX = WX

Since RT ≅ WX, the equation WX = WX is valid because, as we stated before, RT and WX are completely equal, and thus, interchangeable.

We can conclude that the correct statement is: RT + TW = WX + TW

Since we already found the valid statement, we don't need to check the other ones, but lets do it just for fun:

For RT = 2(RX) and WX = 2(RX)

Step 1 replace RT with WX:

WX = 2(RX)

Since we don't know anything about RX, we can't conclude that RT = WX from the given statement. Therefore, we can't conclude that the statement must be true.

For RT + TW = RX

Step 1 replace RT with WX:

WX + TW = RX

Step 2 subtract TW from both sides:

WX + TW - TW = RX - TW

WX = RX - TW

Again, since we don't know anything about RX and TW, we can conclude that RT = WX from the given statement. . Therefore, we can't conclude that the statement must be true.

hpoe it helps...

5 0

2 years ago

What is -7/8- (-5/6) in simplest form

Gennadij [26K]

Answer:

-1 /24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6 + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

7 0

2 years ago

Why does y=cos(2x)sin(2x)​ simplify to y=sin(4x)/2 for derivatives?

Why does y=cos(2x)sin(2x) simplify to y=sin(4x)/2 for derivatives?