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2 years ago

Prove that : sin^4(2x)=3/8-1/2cos4x+1/8cos8x Someone plzz help!!!

1 answer:

7 0

Sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer

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Let g(x)=2x and h(x)=x^2+4 find the value <br> 1.) (g*h)(0)<br> 2.) (h*g) (a)

pentagon [3]

(HoG)(x) = (2x)2 + 4 simply because HoG(x) is actually H(G(x)). So where ever there was an x in H(x) we substitute our value of G(x). Now the only thing left is to put in the 1. so out answer is (2(1))2 + 4 = 8Only in the 6th grade ; )

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2 years ago

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How would you convince a fellow student that the number 0.57 is a rational number? (5+ sentences please) Please help me with thi

Gre4nikov [31]

Answer: 0.57 = 57/100 this means it has to be rational.

Explanation: You have to explain to them that any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

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3 years ago

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Answer the question in the picture.

nlexa [21]

Answer:

The answer is C

Step-by-step explanation:

Reflecting across the y-axis is like folding across the y-axis.

2,-2, turns into -2,-2

Hope this helped!

8 0

2 years ago

If f(x) = 3x + 5 and g(x) = x - 1, then g[f(-3)] = ?

Dominik [7]

Answer:

-3fg

Step-by-step explanation:

I can't tell exactly what you're trying to say but if you're trying to say:

g x (f x (-3)), then here's how you do it:

g x (f x (-3))

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), then use the commutative property to reorder the terms.

g x (-f x 3)

g x (-3f)

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), the use the commutative property to reorder the terms.

-g x 3f

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2 years ago

Use the raw data below to create a table that can be used to create a histogram with 5

schepotkina [342]

Answer:

Five classes

Step-by-step explanation:

1. Sort the data

You get

1.1, 1.3, 1.6, 1.7, 2, 2.6, 2.7, 2.9, 3.2, 3.2, 3.5, 3.5, 3.9, 4.6, 4.7, 4.8, 4.8, 4.9, 4.9, 5.3, 5.7, 6.4, 6.5, 7.1, 7.5, 7.6, 8.1, 8.2, 9.2, 9.4

2. Calculate the range

Range = Max - Min = 9.4 - 1.1 = 8.3

3. Calculate the class width

Divide the range by the number of classes

8.3/5 = 1.7

Round this up to 2.

4. Decide where to start the histogram

You could use classes: 1 - 3, 3 - 5, 5 - 7, 7 - 9, 9 -11

However, even numbers are easier to read.

It would be preferable to use classes: 0 - 2, 2 - 4, 4 - 6, 6 - 8, 8 - 10

5. Prepare a frequency distribution table

Note: Each class does not include its largest possible value. Thus, a value of 2 goes into Class 2 - 4, (not Class 0 - 2).

$\begin{array}{cc}\textbf{Miles run} & \textbf{No. of students} \\0 - 2 & 4 \\2 - 4 & 9 \\4 - 6 & 8 \\6 - 8 & 5 \\8 - 10 & 4 \\\end{array}$

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3 years ago