Subtract -5/18 - (-1/4)

-1/36
-19/36
-1/18
1/36

Answers


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Please help with geometry

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

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

I don’t understand what to do

Answers

To use a unit circle, you must know where the coordinates are.

For this problem it is asking you where the sin(11pi/6) is.

You look at the unit circle for 11pi/6.

From here you look at the coordinates.

The x value is the cosine and the y value is the sine.

This means that the sin of 11pi/6 is -1/2.

To find the csc or the cosecant you just find 1/sin.

To find the the sec or secant you find 1/cos.

To find the tangent or tan you find the sin/cos.

And to find the cot or cotangent you find 1/tan.

At a local bodega, the cost of a bottle of juice at the corner store is$1.05, and the cost of a bag of chips is $1.10. What would it cost to get
8 bottles of juice and 4 bags of chips? What would it cost to get a
bottles of juice and y bags of chips?
Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y

Answers

Answer:

$12.80

Step-by-step explanation:

The cost to get 8 bottles of juice and 4 bags of chips will be:

= 8($.105) + 4($1.10)

= $8.40 + $4.40

= $12.80

The cost for x bottles of juice and y bags of chips will be:

= (1.05 × x) + (1.10 × y)

= 1.05x + 1.10y

Select the equation of the line that passes through the point (3,-1) and is parallel to the line on the graph y=-1
y=3
y=x-1
y=3x-1​

Answers

Answer:

y = -1

Step-by-step explanation:

The graphed function is:

  • y = 2.5

The line parallel to this has to be in the form of:

  • y = k, where k≠ 2.5

Since the line passes through the point (3, -1), its y coordinate is -1, therefore the function is:

  • y = -1

Correct option is the first one

What plus what equals 160

Answers

The equation to show the sum of two number is 160: x + y = 160.

An equation is a mathematical statement that shows that two expressions are equal.

To find two numbers that add up to 160, we can Set up an equation with two unknowns, x and y, representing the two numbers:

x + y = 160

Since there are infinitely many possible combinations of two numbers that add up to 160.

Some combinations are:

1. x = 80, y = 80

80 + 80 = 160

2. x = 50, y = 110

50 + 110 = 160

3. x = 30, y = 130

30 + 130 = 160

4. x = -20, y = 180

-20 + 180 = 160

5. x = 0, y = 160

0 + 160 = 160

These are just a few examples, and there are many other combinations of numbers that satisfy the equation x + y = 160.

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80 plus 80 is equal to 160. It's like 8 plus 8 equals 16, just add a zero to the end to each numbers it's easier to think that way

In a different plan for area​ codes, the first digit could be any number from 4 through 8​, the second digit was either 3, 4, 5, or 6​, and the third digit could be any number exceptnbsp 2 or 5. with this​ plan, how many different area codes are​ possible?

Answers

The possible area codes for different plan are 160.

Step-by-step explanation:

Given: In a different plan for area​ codes, the first digit could be any number from 4through8​, the second digit was either 3,\;4,\;5,\;\rm{or}\;6 and the third digit could be any number except  2\;\rm{or}\;5.

As mentioned in question:

Area codes are created by digits as:

first digit could be any number from4 through 8 are 4,\;5,\;6,\;7,\;8.

Second digit are 3,\;4,\;5,\;\rm{or}\;6

And third digit couldbe any number except 2\;\rm{or}\;5 are 1,3,4,6,7,8,9,0.

Total number of area codes are 5*4*8=160.

Hence, the possible area codes are 160.

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Final answer:

In a different plan for area codes, there are 140 possible codes.

Explanation:

In a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 3, 4, 5, or 6, and the third digit could be any number except 2 or 5. To calculate the total number of possible area codes, we need to multiply the number of choices for each digit.

For the first digit, there are 5 choices (4, 5, 6, 7, 8).

For the second digit, there are 4 choices (3, 4, 5, 6).

For the third digit, there are 7 choices (0, 1, 3, 4, 6, 7, 8).

To find the total number of possible area codes, we multiply these choices together: 5 x 4 x 7 = 140.

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