The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find the weighted average

Answer:

  b.  4.0 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the ratio of the adjacent side to the hypotenuse is given by the cosine of the angle:

  Cos = Adjacent/Hypotenuse

  cos(35°) = NL/NK

  NL = NK·cos(35°)

__

Similarly, it reminds you that the ratio of the opposite side to the hypotenuse is given by the sine function:

  Sin = Opposite/Hypotenuse

  sin(53°) = NM/NL

  NM = NL·sin(53°)

Substituting from the first triangle, we have ...

  NM = NK·cos(35°)·sin(53°)

  NM = (6.1 cm)(0.81915)(0.79864)

  NM ≈ 3.991 cm

  MN ≈ 4.0 cm

Answer:

B. y=5/4 x-4

Step-by-step explanation:

Slope of line= \(\frac{y2-y1}{x2-x1}\)

= \(\frac{1-(-4)}{4-0}\)

=5/4

In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken

In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds

Let us convert time total time to seconds

3 minutes 30  in seconds = 3*60+ 30 = 180+30 = 210 seconds

Hence  Moira rate  = 1 rubiks cube/210 seconds

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The value of function g'(3) = -1/4.

We know that g(x) = \(f^{-1}\)(x) for all x.

To find g'(3), we can use the inverse function theorem, which states that if f is a differentiable function with a nonzero derivative at a point a, and if g is its inverse function, then g is differentiable at the corresponding point b = f(a), and the derivative of g at b is given by:

g'(b) = 1 / f'(a)

Therefore, to find g'(3), we need to first find f'(a), where a is the value of f at x = 3. We can use the mean value theorem to do this:

f'(a) = (f(6) - f(3)) / (6 - 3) = (3 - 15) / 3 = -4

Therefore, f'(a) = -4.

Now, we can use the inverse function theorem to find g'(3):

g'(3) = 1 / f'(a) = 1 / (-4) = -1/4

Therefore, g'(3) = -1/4.

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

Answer:

2; 3; 10

Step-by-step explanation:

1.) There are 4 halves (1/2) in 2; 4/2 = 2

2.) There are 15 1 fifths (1/5) in 3; 15/5 = 3

3.) There are 10 1 eights (1/8) in 1 and 1 fourth; 1.25/0.125 = 10

Answer:

3 Pounds

Step-by-step explanation:

If 1 slice of pie = 8 ounces that means that 6 slices would be 48 ounces because of 6 slices * 8 ounces. Now we have to take the 48 ounces and divide them by 16 because 16 ounces = 1 pound. And in doing so, 6 slices would = 3 Pounds.

Answer:

I got B) ; 54m2

Step-by-step explanation:

the above diagram is a trapezium.

the area is gotten by; 1/2 (a+b)h

a = shortest side.

b = the longer side that is directly opposite to (a).

h = height.

1/2(3 + 9)9

1/2 by 12 by 9

to get 54

There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.

The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.

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Answer:

$4179

Step-by-step explanation:

3,100*.029= 89.9

89.9*12=1,078.80

3,100+1,078.80=4,178.80

4,178.80 rounded to the nearest dollar= 4179

The amount of money in the account after 12 years would be $4,371.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To calculate the amount of money in the account after 12 years, we need to use the formula for continuously compounded interest, which is:

A = P\(e^{rt}\)

where A is the final amount, P is the principal (initial amount invested), r is the annual interest rate, and t is the number of years the money is invested.

In this case, the initial amount invested is $3,100, the annual interest rate is 2.9%, and the number of years is 12.

Plugging these values into the formula, we get:

A = $3,100 × \(e^{0.029 \times 12)\)

A = $3,100 × \(e^{0.348}\)

A = $3,100 × 1.41

A = $4,371

Therefore, the amount of money in the account after 12 years, to the nearest dollar, would be $4,371.

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The distribution X-Y is approximately normal, with a mean of -11 and a standard deviation of 10. When the two variables X and Y are independent and normal, the variance of the sum of the variables is the sum of their variances.

In other words, if X and Y are normal, then their sum or difference is also normal. In this case, X is approximately normally distributed, with a mean of 30 and a standard deviation of 6.

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Answer:

It was a 12.5% water gain

Answer:

2/15

Step-by-step explanation:

Answer:

2/15 hope this helps :)

Step-by-step explanation:

Answer:

30 + 100u

Step-by-step explanation:

I hope that helps

In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.

The total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.

Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.

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There are 119 inches in 3.0226 meters, rounded to the nearest inch. To get this answer, the conversion factor of 2.54 cm per inch is used to convert meters to inches.

First, we need to convert 3.0226 meters to centimeters for converting we can multiplying it by 100

3.0226 meters = 302.26 centimeters

Next, we can convert centimeters to inches, for this we need to divide it by 2.54

302.26 centimeters / 2.54 centimeters per inch ≈ 119 inches

Rounding to the nearest inch, we get

119 inches ≈ 119 inches

Therefore, there are approximately 119 inches in 3.0226 meters.

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Answer:

Step-by-step explanation:

Assumed it is:

Converting into vertex form:

Given :-

To Find :-

Answer :-

We have ,

Add and subtract 8² .

Hence the required answer is (x+8)² -77.

Answer:

we minus 0.25 from 35

Step-by-step explanation:

35_0.25

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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The difference between the amount of money she will have in Euros and the amount she will have in British pounds will be zero.

Kathy needs to exchange half of her US dollars into British pounds and half of her US dollars into euros. Since it is given that pound is equal to USD and euro is also equal to USD, when she withdraws half of her US dollars as British pounds and half of it as euros, she will have the same amount of pounds and euros. Thus, the difference between the amount of money she will have in Euros and the amount she will have in British pounds will be zero. Therefore, she will have the same amount of money in both currencies, and the answer to the question is 0 (rounded to the nearest whole number).

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Answer:d

Step-by-step explanation:

Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

Answer:

The graphs of the three functions A, B, and C are all different because they have different coefficients and signs in front of the absolute value function. Here is an explanation of the differences between the graphs:

A. f(x) = - |x|

This function is the opposite of the absolute value function. It takes the absolute value of x, and then multiplies the result by -1. This means that for any value of x, the output of the function is the negative of the absolute value of x. The graph of this function is a "V" shape that opens downward, with the vertex at the origin (0,0).

B. f(x) = 3/4 |x|

This function is a scaled version of the absolute value function. It takes the absolute value of x, and then multiplies the result by 3/4. This means that for any value of x, the output of the function is 3/4 of the absolute value of x. The graph of this function is a "V" shape that opens upward, with the vertex at the origin (0,0), and the slope of the arms of the "V" being less steep than the slope of the arms for the absolute value function.

C. f(x) = 4 |x|

This function is a scaled version of the absolute value function as well, but it has a different scale factor. It takes the absolute value of x, and then multiplies the result by 4. This means that for any value of x, the output of the function is 4 times the absolute value of x. The graph of this function is a "V" shape that opens upward, with the vertex at the origin (0,0), and the slope of the arms of the "V" being steeper than the slope of the arms for the absolute value function.

In summary, the graphs of these three functions are all "V" shapes, but they differ in terms of their orientation, their vertex location, and the steepness of the arms of the "V".

Answer:

x = 73 °

Step-by-step explanation:

A pentagon has a collective degree of 540

So to find x, you have to set up an equation:

x + 127 + 112 + 108 + 120 = 540

To solve:

Combine like terms

x + 467 = 540

Subtract 467 on both sides:

x = 540 - 467

x = 73

Eggs are generally sold in batches of 12 (or dozens). The image shows the 3 different ways that 12 eggs can be packaged into arrays. Note that the array 3 by 4 is taken to be equivalent to the array 4 by 3 and therefore is not included. If it was decided that eggs should be sold in batches of 24, then these 24 eggs could be packaged into a total of 4

different arrays.

The arrangement is checked by writing out the factors of 24

24 = 1, 2, 3, 4, 6, 8, 12, 24

grouping them in pairs

1 * 24

2 * 12

3 * 8

4 * 6

this gave a total of 4 arrays

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By using congruency definitions, we can show that corresponding parts of two triangles are congruent.

Congruent triangles have the same corresponding angle measures and side lengths.

Given two triangles,

We can show that corresponding parts of two triangles are congruent by showing both the triangles congruent, then by CPCT we'll get the corresponding parts of congruent triangles are congruent.

Hence, By using congruency definitions, we can show that corresponding parts of two triangles are congruent.

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Answer:

-7

Step-by-step explanation:

3=-3x-18

3x=-18-3

3x=-21

x=-7