If 2m−6=8m
then 3m=?

Answer:

Answer- 0

Step-by-step explanation:

2+2+2-2+4-8= 4-2+4-8=0

hope this helps :)

Using the power reducing formulas the expression \(5cos^4(x) = 5(1 + cos(2x))^{2/4}\).

We can define higher powers of a trigonometric function in terms of lower powers of the same function using the power-reducing formulas, which are trigonometric identities. Higher powers of cosine can be expressed using this formula in terms of sine and cosine's initial powers. For the other trigonometric functions, such as sine and tangent, there are equivalent formulas. These formulas can be used to solve trigonometric equations and to simplify trigonometric expressions.

The given function is 5cos^4(x).

Now, the power reducing formulas are given by:

\(cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1\\cos^2(x) = (1 + cos(2x))/2\)

Substituting the value of second equation in 1 we have:

cos(2x) = 2(1 + cos(2x))/4 - 1

\(cos(2x) = (2cos^2(x) - 1) = cos^2(x) - sin^2(x)\)

Now we have:

\(cos^2(x) = (1 + cos(2x))/2\)

Thus,

\(cos^4(x) = (1 + cos(2x))/2)^2\)

Now multiplying by 5:

\(5cos^4(x) = 5(1 + cos(2x))^{2/4}\)

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Answer:

2!

Step-by-step explanation:

Answer:

the answers are A and B

Step-by-step explanation:

Answer:

A and A

Step-by-step explanation:

Right on edge 2023

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

\(\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}\)

Since, \(\frac{\text{AB}}{ED}=\frac{AC}{DC}\)

\(\frac{42}{6}=\frac{x}{(32-x)}\)

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = \(\frac{1344}{48}\)

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

Answer:28

Step-by-step explanation:

The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

From the question, we have the following parameters that can be used in our computation:

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Hence, the area is 159.09

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\(\tt{}630 \times 70 - 20 + 10\)

\(\tt{}44100 - 20 + 10\)

\(\tt{}44080 + 10\)

\(\tt{}44090\)

Answer:

44.090

Step-by-step explanation:

630 × 70 = 44.100

44.100 - 20 = 44.080

44.080 - 10 = 44.080

i hope the answer helps:)

Answer:

312

Step-by-step explanation:

Add the area of each face together

Don't forget the units!

Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.

We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).

We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.

36+24+96=156.

156x2=312.

This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.

When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.

I encourage you to let me know if this method works for you! I hope this helps!

Answer:

49

Step-by-step explanation:

The numbers in 14 divided by 2/7 are labeled below:

14 = whole number

2 = numerator

7 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

\(\frac{14*7}{2}=\frac{98}{2}\)

Thus, the answer to 14 divided by 2/7 in fraction form is:

\(\frac{98}{2}\)

To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

98 / 2 = 49

The answer is rounded to the nearest two decimal points if necessary.

98/2 can be simplified to 49/1.

49/1 is an improper fraction and should be written as 49.

[RevyBreeze]

The division of 14 by 2/7 gives the quotient 49.

The division is one of the four introductory fine operations, the other three being addition, deduction, and addition. In simple words, division can be defined as the splitting of a large group into lower groups similar that every group will have an equal number of particulars. It's an operation used for equal grouping and equal sharing in calculation.

We have to divide 14 by 2/7.

So, We have to multiply the fraction by reciprocate the number 2/7 to 7/2.

So, the division is

= 14 x 7/2

= 7 x 7

= 49.

Thus, the quotient is 49.

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Answer:

Hmm

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

Hello!

You simply multiply the number of hours by the amount of money earned per hour. So you multiply 2.5 by 32.

The worker would have earned $80.

Answer:gotchu g there it is

Step-by-step explanation:

Answer:sike gtf

Step-by-step explanation:

The line with the equation y = -x - 2 will pass through the points (0, -2) and (2, -4) and continue infinitely in both directions.

We have,

To graph the line with the equation y = -x - 2, we can follow these steps:

- Step 1:

Plot two points on the graph.

Select any x-value and substitute it into the equation to find the corresponding y-value.

Repeat this process for a different x-value to find another y-value.

Let's choose x = 0:

y = -(0) - 2

y = -2

So we have the point (0, -2).

Let's choose x = 2:

y = -(2) - 2

y = -4

So we have the point (2, -4).

- Step 2:

Plot the points on a coordinate plane.

Plot the points (0, -2) and (2, -4) on a graph.

Step 3: Draw a line passing through the two plotted points.

Using a straightedge or by hand, draw a line that connects the two points.

Thus,

The line with the equation y = -x - 2 will pass through the points (0, -2) and (2, -4) and continue infinitely in both directions.

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a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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Answer:

0.343, 0.424, 0.443

Step-by-step explanation:

Answer:

y = -1/3x - 5

Step-by-step explanation:

x + 3y = -15

-x            -x

3y = -x - 15

/3        /3

y = -1/3x - 5

Answer:

0

Step-by-step explanation:

0 works, because 4,571.109 ≤ 4,571.1197.

9514 1404 393

Answer:

  any digit will make the sentence true

Step-by-step explanation:

Using 'd' to represent the digit, the sentence can be rewritten ...

  4571.109 +0.01d ≤ 4571.1997

Subtracting the constant on the left gives ...

  0.01d ≤ 0.0907

  d ≤ 9.07

Every single digit is less than 9.07, so any digit will do. (There are 10 right answers.)

Answer:

Step-by-step explanation:

3) (15/3)^2+14+6+3^2

=5^2+14+6+3^2

=25+14+6+3^2

=25+20+3^2

=25+20+9

=25+29

=54

Answer:

3. 54

4. -524

5. 59

8. 60

9. 78

10. 61

Step-by-step explanation:

3. (15 / 3)^2 + ((14 + 6) + 3^2)

(5)^2 + ((20) + 9)

25 + 29 = 54

4. ((11 + 2) - (24 / 2)^2) x 2^2

((13) - (12)^2) x 4

(13 - 144) x 4

-131 x 4 = -524

5. ((4 + 3)^2 + 6) - 5 + 3^2

(7^2 + 6) - 5 + 9

(49 + 6) - 5 + 9

55 - 5 + 9

50 + 9 = 59

8. (6^2 + (24 / 3 + 5^2)) - 3^2

(36 + (8 + 25)) - 9

(36 + 33) - 9

69 - 9 = 60

9. ((10 - 4)^2 x 2) + 2 + 2^2

(6^2 x 2) + 2 + 4

(36 x 2) + 2 + 4

72 + 2 + 4 = 78

10. (7^2 + (16 / 8 + 2^2)) + 3^2

(49 + (2 + 4)) + 9

(49 + 6) + 9

55 + 9 = 61

Answer:

12

Step-by-step explanation:

8x1+8x0.5

8+4

12

12$ is the total cost

Given the table:

Mean Median Range IQR

51 51 6 4

Number of people served by each tour = 48

Number of tour = 56 tours

Largest = 54

Let's solve for the following:

• (a). Select the best description of center for the data set.

The average of the data set is the mean.

Therefore, based on the mean and median, we see that the average number of people served was about 51.

• (b). Select the best description for the spread of the data.

The range of a data set can be said to be the difference between the maximum and the minimum data values.

Range = Max - Min = 6

Therefore, the difference between the largest and the smallest number of people served is 6.

• (c). Select the graph with the shape that best fits the summary values.

From the table, we have:

Mean = 51

Median = 51

Since the median is equal to the mean, the graph of the data set will be symmetric between the range.

Therefore, the correct graph that best fits the summary values is Graph 2.

ANSWER:

• (a). Based on the mean and median, we see that the average number of people served was about 51.

• (b). The difference between the largest and the smallest number of people served is 6.

• (c). Graph 2.

The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.

Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.

According to the given information:

The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.

The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.

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The opposite of -10 is 10.

The symbol to make a true statment is -5>-8.

The symbol to make a true statement is -6<|-8|

The only set of integers that are sort from least to greatest is:

C. -8,5,6,|-7|,8

as |-7|=7.

Answer:

240 inches cubed

I see you have 4 mins left

(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)

2x^2 + 3x + 4x - 9 = 2x^2 +7x -9

2x^2 + 7x - 9 - x^2 -7x = x^2 -9

The answer is : x^2 - 9

The answer I got is x^3 + 14x - 9x

To turn the specified limit, which is a Riemann sum, within the known interval, [2, 6], and variable, \(x_i\), to a definite integral, the value, Δx is dx as n approaches infinity, to get;

\(\displaystyle \lim\limits_{n\to \infty}\sum\limits^n_{i=1}x_i\cdot \ln \left(1+x_i^2 \right) \Delta x, [2, \,6] = \int\limits^6_2 {x\cdot \ln \left(1+x_i^2 \right)} \, dx\)

A Riemann sum is an approximation of an integral, which is the area of a region, by making use of the sum of simplified slices that make up the region.

A definite integral is a calculation used to find the area under a graph of a function by making use of very small or infinitesimal stripes of the region under the graph of the function.

The expression in the question is a Riemann sum

\(\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot ln \left(1 + x_i^2 \right) \Delta x, [2, 6]\)

The Riemann sum can be converted into a definite integral, using the equation, \(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n f(x_i)\Delta x = \int\limits^b_a {f(x)} \, dx }\)as follows;

The value of Δx is the value which values in the parenthesis are multiplying on the left, therefore; Δx is replaced with dx, as n → ∞

The limits of the Riemann sum in the question = [2, 6]

\(f(x_i) = x_i \cdot \ln\left(1 + x_i^2 \right)\), therefore, \(f(x) = x \cdot \ln\left(1 + x^2 \right)\)

Plugging in the the above values into the expression for the Riemann sum, we get the following definite integral;

\(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot \ln \left(1 + x_i^2 \right) \Delta x, [2, 6] = \int\limits^6_2 {x\cdot \ln\left(1 + x^2\right)} \, dx\)

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A random Integer between -100 and 100 is 48.

A statistical phrase used to describe occurrences that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together.

If two things can't happen at the same moment, they are mutually exclusive. Disjoint is another term that denotes mutual exclusion. When two occurrences are unrelated, there is no chance that both will happen at the same moment.

A statistical phrase used to describe occurrences that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together.

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Answer:

We have the histogram as:

Explanation:

Given the data;

re-arranging in ascending order.

creating a frequency table we have;

And finally representing the given data on the histogram, we have;