Prove that: cos(3π/4 + x) - cos(3π/4 - x) = -√2 sin x​

Answer:

A

Step-by-step explanation:

In the graph shown, no two y values share an x value. If you were to pass a vertical line through it at any point, it would only intersect it once, which makes it a function.

Many x values in the graph share y values; if you were to pass a horizontal line through it, it would intersect it more than once at certain points, which makes it NOT one-to-one.

This means that the answer is A: This is the graph of a function, but it's not one-to-one.

Answer:

5, -25, etc

Step-by-step explanation:

It involves multiplying to get each answer, so it is geometric

Answer:

5, -25, 125, -625,...

Step-by-step explanation:

In order to test if something is geometric, just divide each element by the previous element. It is geometric if the number is always the same.

-25/5=-5

125/-25=-5

-625/125=-5

The other options do not fall into this pattern.

Answer:

Fewer than means that something is less than another thing. For example, the number 2 is fewer than the number 4. There's also this cool symbol that you can use instead of writing the words 'fewer than'. You could say for example 2<4. A fun way to remember which way the symbol points is to imagine it like an alligator, the number 2 is trying to eat the number 4 to grow!

Step-by-step explanation:

Hope this helps!

Answer:

4 Times

Step-by-step explanation:

3.50 times 4 = 14 + 6 = 20

Necessary Formulas:

Area of a Square = base x height OR length^2

---All sides of a square are the same length!

Perimeter of a Square = 4 x length

Steps to Solve:

Area of the square = length^2

49 = length^2

length = 7

Perimeter of the square = 4 x length

Perimeter = 4 x 7

Perimeter = 28

Answer:

The perimeter of the square is 28 meters.

Hope this helps!

Answer:

Put ( ) around input only.

Insert (-1) for m.

1

Step-by-step explanation:

You only put parenthesis around just and only the input. So you are replacing m with (-1) and leaving everything else just the same.

m² - m³ - m⁴

(-1)² - (-1)³ - (-1)⁴

1- -1-1

1+1-1

2-1

1

Answer:

236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = [tex]\pi[/tex]r²h   (where r = radius and h = height)

Therefore, volume = [tex]\pi[/tex] x 5² x 3

                               = [tex]\pi[/tex] x 25 x 3

                               = 75[tex]\pi[/tex]

                               = 236 cubic units (to 3 significant figures)

Answer:

1/2 of farm land left.

Step-by-step explanation:

  Ok so we know that Chef Ollie has a community garden. And that she uses [tex]\frac{2}{6}[/tex] of the farmland to grow beets. The denominator 6 lets you know immediately that the land is divided into equal 6 pieces. We also know that Chef Ollie uses another [tex]\frac{1}{6}[/tex] of the farmland to grow kale.

  Because the we need to find out how much land Chef Ollie has left, we need to subtract the amount she used from the whole. Before we can do that we must add up the total amount of used land, and since the denominators are the same we can directly add and subtract with having to change the denominator.

Step 1: Write down important numbers.

[tex]\frac{2}{6}[/tex], [tex]\frac{1}{6}[/tex],

Step 2: Add those numbers together.

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]

Step 3: Write an expression/equation.

[tex]\frac{6}{6} - \frac{3}{6} \\or\\1 - \frac{1}{2}[/tex]

Step 4: Solve

=    [tex]\frac{3}{6}\\or\\\frac{1}{2}[/tex]

(can be written both ways)

  And you get your answer: After Chef Ollie has used [tex]\frac{2}{6}[/tex] to grow beets and [tex]\frac{1}{6}[/tex] to grow kale, she has [tex]\frac{1}{2}[/tex] of her farmland left untouched.

  To represent this you could draw a circle divided in 6 pieces and shade 3 of them, or simply draw a circle and shade half. As well as drawing a rectangle and dividing it into 6 pieces, shading 3, or draw a rectangle, and shade half.

You are welcome ;) .

The percentage of the pages in the manual without pictures is 0.92%.

The number of the pages in the manual without pictures is 0.01

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. It is a measure of frequency.

Percentage = (number of pages without pictures / total number of pages) x 100 = 0.92%

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer: The correct answer is 0.92 I got 100% on the 2.03 quiz for math

Step-by-step explanation:

Answer:

it would be for units down on the vertical (Y)

Step-by-step explanation:

same formula but the minus 4  would move it down on the y axis

Answer:  

Step-by-step explanation:

 people define trapezoids to have one and only one pair of opposite sides parallel, Squares are quadrilaterals with equal side lengths and four right angles.

Answer:

102

Step-by-step explanation:

The digit has a number after it be careful.

143 = x × 0.024 × (11/12)

143 = x × 0.022

143/0.022 = x

6500 = x

Donna borrowed $6500

Probabilities are used to determine the chances of events

The area of region X is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]X = 3.14 * 4^2[/tex]

[tex]X = 50.24[/tex]

The area of the dart is:

[tex]A = Length * Width[/tex]

[tex]A = 24 * 24[/tex]

[tex]A = 576[/tex]

The probability of landing in region X is then calculated as:

[tex]P(X) = 50.24/576[/tex]

[tex]P(X) = 0.087[/tex]

The area of region Y is:

[tex]A = \pi R^2 - \pi r^2[/tex]

So, we have:

[tex]Y = 3.14 * 6^2 -3.14 *4^2[/tex]

[tex]Y = 62.8[/tex]

The probability of landing in region Y is then calculated as:

[tex]P(Y) =62.8/576[/tex]

[tex]P(Y) =0.109[/tex]

The area of region Z is:

[tex]A = \pi R^2 - \pi r^2[/tex]

So, we have:

[tex]Z = 3.14 * 8^2 -3.14 *6^2[/tex]

[tex]Z = 87.92[/tex]

The probability of landing in region Z is then calculated as:

[tex]P(Z) = 87.92/576[/tex]

[tex]P(Z) = 0.153[/tex]

Hence, the probability of landing in region Z is 0.153

Read more about probabilities at:

https://brainly.com/question/25870256

Answer:

D = 4/12 or 1/3

Step-by-step explanation:

Answer:

d=4/12

Step-by-step explanation:

5/12-1/12= d

d=4/12

Answer: h=21

Step-by-step explanation:

h/3 - 5 = 2

_h+_(-3)5__ = 2

3

_h-3x5___ = 2

3

_h-15_ = 2

3

h-15= 3x2

h-15= 6

(h-15) + 15 = 6 + 15

h-15+15=21

h=21

Answer:

45600 Bacteria

Step-by-step explanation:

Have a good day

Peace out

Answer:

60800 bacteria

Step-by-step explanation:

first find how many times it doubles: 12 hours ÷ 3 hours = 4 times

so if doubles 4 times, put  [ * 2 ] four times = 3,800 * 2 * 2 * 2 * 2 = 60800

The population will be 60800 bacteria, 12 hours from now.

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

-1= -2(1)+b

-1= -2+b

b= 1

y= -2x+1

Answer:

[tex] {(x - 3) }^{2} = 30 - 2x \\ { \times }^{2} - 6x + 9 = 30 - 2x \\ x {}^{2} - 4x - 21 = 0 \\ (x - 7)(x + 3) \\ x = 7 \\ x = - 3[/tex]

Answer:

The answer should be -194.6

Step-by-step explanation:

Have a great day :)

Answer:

  x = 3

Step-by-step explanation:

Look for 1 in the f(x) column. The solution is the value of x on that row: 3.

The solution to f(x)=g(x) is x = 3.

Answer:

The height of the street lamp is 27 feet tall, hope this helps! :D

Step-by-step explanation:

Answer:

250 sq. inch

Step-by-step explanation:

Perimeter: 60 inch

: 2 X L+B

: 2 X ? + 10

Length: 60-10

: 50/2

: 25 inch

Area: L X B

: 25 X 10

: 250 sq.inch

Hope it helps ;)

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