What is the slope of the following table?

Answer:

The answer is C. [tex]\frac{\sqrt{6} + \sqrt{2} }{4}[/tex]

Step-by-step explanation:

The value of cos(15°) is (√(6) + √(2))/4.

The correct option is C.

The half-angle formula is a trigonometric identity that relates the trigonometric functions of half of an angle to the trigonometric functions of the original angle.

Using half-angle formula for cosine

cos(x/2) = √((1 + cos(x))/2)

In this case, x = 30°, so we have:

cos(15°/2) = √((1 + cos(30°))/2)

cos(15°/2) = √((1 + √(3)/2)/2)

Now, rationalize the denominator:

cos(15°/2) = √((2 + √(3))/4)

cos(15°/2) = √((1/2 + √(3)/4))

Finally, we factor the numerator by multiplying it by (√(2) + √(6))/(√(2) + √(6)):

cos(15°/2) = (√(2) + √(6))/(2√(2))

cos(15°) = (√(2) + sqrt(6))/(2√(2))

By rationalizing the denominator further, we get:

cos(15°) = (√(2) + √(6))/(2√(2))  (√(2)/sqrt(2))

cos(15°) = (√(2)√(2) + √(6)√(2))/(2√(2)√(2))

cos(15°) = (2 + √(12))/(2 x 2)

cos(15°) = (2 + 2√(3))/(4)

cos(15°) = (√(6) + √(2))/4

Therefore, the value of cos(15°) is (√(6) + √(2))/4.

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Answer:

lafante

Step-by-step explanation:

Distance in co ordinate units is √27  .

Given,

2+6i and -4+3i in the complex plane

To get distance between these numbers we have to find modulus of their difference:

z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i

So, distance

d = |(-6 -3i)|

Finding the magnitude of the complex plane obtained ,

= √-6² + (-3i)²

=√27 .

Thus the distance between two complex plane is √27 .

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Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Answer:

0.5 m

Step-by-step explanation:

Just use the answer

Answer:

y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P

Answer:

y=2x + (-1)

Slope is m=2 and the y-intercept is b= -1

Answer:

4:15, 4:3, 1:5

Step-by-step explanation:

Part A:

There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.

4:15

Part B:

As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.

4:3

Part C:

There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.

3:15 = 3/3:15/3 = 1:5

Hope this helps.

Answer: 4x-6=-46

4x-6=-46

Answer:

djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

Answer:

15

Step-by-step explanation:

15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15

Answer:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).

Step-by-step explanation

If it is wrong then I'm sorry

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y

.

(2x−5+3y)(2x−5−3y)

Step-by-step explanation:

hope this helps

Answer:

x=9, hope I helped :P

Jen bought 5 CDs for $57.50. What was the unit rate?

The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.

To find the unit rate of an item, you need to divide the price by the quantity.

[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]

The first step is to substitute the given amounts into the above formula.

[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]

Now, all you need to do is divide.

[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]

The unit rate is $11.50 per CD.

Answer:

The unit rate is $11.50 per CD.

Step-by-step explanation:

Answer:

2/5 = 4/5 - 2/5 = m

Answer:

[tex]Population = 2^{24}[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2^{6}[/tex]

Increment = doubles every 40 minutes

Required

Determine the population after 120 minutes

First, we need to determine the fraction of 120 to 40

[tex]Fraction = \frac{120}{40}[/tex]

[tex]Fraction = \frac{3}{1}[/tex]

[tex]Fraction = 3[/tex]

If for every 40 minutes, we have:

[tex]Population = 2^6*2^6[/tex]

We'll have:

[tex]Population = 2^6 * 2^{6 * 3}[/tex] at the 120the minute

[tex]Population = 2^6 * 2^{18}[/tex]

Apply law of indices

[tex]Population = 2^{6+18}[/tex]

[tex]Population = 2^{24}[/tex]

Answer:

its 2-9

Step-by-step explanation:

y = -3x + 2?

Plug in the value x = 6.

y = -3(6) + 2

y = -18 + 2

y = -16

Hope this helps

Answer:

$1100 per week

Step-by-step explanation:

Amount made per week = $990

Increase amount per week  = $110

Unknown:

What will be his weekly pay per week = ?

Solution:

His weekly pay per week will be = amount made per week + Increase

                                                       = $990 + $110

                                                       = $1100

He now makes $1100 per week.

Answer:

The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,

Step-by-step explanation:

Answer:

44,62, and where is E

Step-by-step explanation:

Part (i)

--------

Reason:

Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.

============================================================

Part (ii)

--------

Reason:

Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.

============================================================

Part (iii)

--------

Reason:

Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD

Focus on triangle BCD. The three interior angles add to 180

B+C+D = 180

46+y+28 = 180

y+74 = 180

y = 180-74

y = 106

Then subtract 180 from this to get the exterior angle BCE

angle BCE = 180-(angle BCD)

angle BCE = 180-y

angle BCE = 74

Or as a shortcut, you could use the remote interior angle theorem

angle BCE = (angle BDC) + (angle DBC)

angle BCE = (28) + (46)

angle BCE = 74

Answer:

x=-1

Step-by-step explanation:

-2(x-6)=x+5

-2x-(-12)=x+5

-2x+12=x+15

-2x -----^

x+2x=3x

+15 turns into minus 15

12-15= -3

-3=3x

-1=x

Answer: 7/3 or 2.333333333

Step-by-step explanation:

Distribute -2 to x and -6

-2x + 12 = x + 5

Subtract x from both sides

-3x + 12 = 5

Subtract 12 from both sides

-3x = -7

Divide -3 from both sides

X= 7/3 or 2.333333333

Answer: 270 people

Step-by-step explanation:

Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:

Fraction of people who gets there news from social media = 3/10

Fraction of people who got there news from other sources = 7/10

If there are 900 people, number of people who gets there news from social media will be:

= 3/10 × 900

= 3 × 90

= 270 people

Answer:

Step-by-step explanation:

-(-2)^2 - (8(-2)-2(-3)) + 4(-3)

-4 -(-16 + 6) - 12

-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

Answer:

y=-1/2x+3

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation: If not this try 12/22

This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11

Answer:

B

Step-by-step explanation:

Answer: 15

Step-by-step explanation: Well first you have to minus 33-18=15

Answer:

see below

Step-by-step explanation:

shape LNMP is :