Answer quickly! \(x^{2} = 6\)

Answer:

Answer is D or since there is no letters the last answer

Step-by-step explanation:

The simplified expression of the complex number 6! - 3! is another complex number 6i(1 - 0.5)

The complex number expression is given a:

6! - 3!

Factor out i from the expression

6! - 3! = i(6 - 3)

Factor out 6 from the expression

6! - 3! = 6i(1 - 0.5)

The above means that the simplified expression of the complex number 6! - 3! is 6i(1 - 0.5)

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Answer: A

Step-by-step explanation:

The polynomial has roots at \(x=-4, -2, 4\).

So, the equation should have factors of \((x+4), (x-2), (x-4)\).

This eliminates everything except for A.

Answer:answer 4

Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24

Juan maintains his financial statements on each day. He also reports whether he has achieved a break-even in a particular day or not.

Break-even point is a financial management parameter that tells the owner/share-holder how successful he is in his/her business.

Mathematically speaking a break even point is expressed as net revenue earned is equal to the runnig cost of the business ( speaking in per day terms only ).

This is generally expressed as:

The net revenue consists of sales and all the other sales costs. The total variable costs are expressed as running costs of the business. Speaking specific to Juan financial reporting, its the day to day cost/revenue he incurs/earns.

For the day 5, he reports his net revenue to be:

He also reports his running costs ( variable ):

The difference between the net revenue earned and the total variable cost incurred in a day can also be defined as break even point as follows:

If the total revenue of the day is greater than or equal to the variable cost incurred on a day Juan reports this as " Break Even point is achieved ".

So, for the given data of net revenue and variable costs are:

Therefore, for day 5 Juan achieves his break even point.

Answer:

4

Step-by-step explanation:

The vertex of the parabola is (h, k) = (3, -8), The graph in red has vertex (3, -8), thus, the red parabola is correct.

A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to 0.

We know that the standard form of the parabola is y=ax²+bx+c. Thus, the vertex form of a parabola is y = a(x-h)² + k, and the vertex is given by (h, k)

here,  y = −(x − (3))² (−8) is already in vertex form.

Then,

h = 3

k = -8

Thus, the vertex of the parabola is (h, k) = (3, -8), The graph in red has vertex (3, -8), thus, the red parabola is correct.

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Complete question:

Which line describes the graph of y = −(x − 3)2 − 8?

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Answer:

Options (A), (C) and (E)

Step-by-step explanation:

Given equation is,

-3x + 7 = -5 + x

-3x + 7 - 7 = -5 + x - 7

-3x = -5 + x - 7 Option (C)

-3x = x - 12

-3x - x = -12

-4x = -12 Option (A)

4x = 12 Option (E)

\(\frac{4x}{4}=\frac{12}{4}\)

x = 3

Therefore, Options (A), (C) and (E) are the correct options.

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer:

-2/3 -3/5 -1/2 3/8

..................……

Answer:

Step-by-step explanation:

\( \frac{9}{16} \times \frac{3}{4} = \frac{27}{64} \)

\( \\ \\ \)

Answer:

y=x+1

m=1

b=1

Step-by-step explanation:

-2x+2y=2

+2x      +2x

2y=2+2x

divide by 2

y=1+x

rewrite

y=x+1

Since b is the y intercept, b would equal 1.

The slope of the line, or m, would be 1 as well.

The transformation of f(x) to g(x) is f(x) is shifted down 2 units to g(x).

The correct option is (A)

Transformations of functions mean transforming the function from one form to another. Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

The given function f(x)= sin x

In the graph there is vertical shift from f(x) to g(x)

We know, the vertical shift depends on the value of k

When k>0, the vertical shift is described as

If we closely look at the graph the vertical distance in negative y-axis,

the distance between line f(x) and g(x) is from 0 to -2.

So, there is shifting of -2 units means there is downward shifting.

i.e., k=2

Hence, f(x) is shifted down 2 units to g(x).

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

makes no sense

Step-by-step explanation:

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

In one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:

Monthly service fee = $90 / 12 = $7.50

Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:

Monthly income = 2 * $1,150 = $2,300

Therefore, Kevin's monthly change in his bank account is:

Monthly change = Monthly income - Monthly service fee

Monthly change = $2,300 - $7.50 = $2,292.50

So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

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The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

1,950 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below;

As we know that

\(V=B\times h\)

where,

V = Volume of the prism

B = Area of the base

h = height of the prism

But before that,  we need to do the following calculations

a. Area of rectangle is

\(= length \times breadth\)

\(= 13 \times 10\)

\(= 130\ units ^2\)

b. Now the height of the prism which could find out by using the Pythagoras theorem

\(17^{2}=8^{2} +h^{2}h^{2}=17^{2}-8^{2}h^{2}=225h = 15\ units\)

So, the volume of the prism is

\(= 130 \times 15\)

= 1,950 cubic units

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad E(\stackrel{x_2}{4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NE=\sqrt{(~~4 - (-3)~~)^2 + (~~-2 - 1~~)^2} \implies NE=\sqrt{(4 +3)^2 + (-2 -1)^2} \\\\\\ NE=\sqrt{( 7 )^2 + ( -3 )^2} \implies NE=\sqrt{ 49 + 9 } \implies NE=\sqrt{ 58 }\implies NE\approx 7.62\)

Therefore , the solution of the given problem of area comes out to be the trapezium has a surface area of 39 square centimetres.

Calculating how much space would be needed for fully covering its exterior will reveal its overall dimensions. The surrounding environment is considered while selecting a comparable product with a rectangular shape. The surface area of anything determines its overall dimensions. The number of sides connecting a cuboid's four trapezoidal shapes determines how much water it can contain.

Here,

We can use the formula for a trapezoid's area if we assume that the shape is a trapezoid with parallel sides that are 9 cm and 4 cm and a height of 6 cm.

=> A = (a + b)h/2

where h is the height, and a and b are the lengths of the parallel sides.

When we enter the values we have, we obtain:

=> A = (9 + 4)(6)/2

=> A = 13(3)

=> A = 39

Consequently, the trapezium has a surface area of 39 square centimetres.

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Answer:

x= 96

Step-by-step explanation:

an triangles angles always add up to 180 so 44+40 equals 84 and 180-84= 96.

Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

The method regarding the sampling to pick 200 sales representative is to make 20 groups of 10.

Sampling simply means a process that's used in statistics where a predetermined number of observations are selected from the larger population.

In this case, the best way for the sales director to include 200 sales representatives, with an equal number from each region is simply to make 20 groups of 10.

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Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, The best way for the sales director to include 200 sales representatives is by making 20 groups of 10.

A sale is simply defined as a business transaction between two or more persons who share a common goal.

In conclusion, The ideal strategy for the sales director to involve 200 sales representatives from each region is to divide them into 20 groups of ten.

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Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)

For the seniors, the mean is given as,

Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10

σ = 14.28

For the juniors, the mean is given as,

Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10

σ = 13.19

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

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The complete question is given below.