3 ^- 2 is equivalent to _____.

Answer:

132.35

Step-by-step explanation:

-16-(-8)*(-20)/(-11)*(-8)

= -16--8*(-20)/(-11)*(-8)

= -16+8*(-20)/(-11)*(-8)

= -16+8*-20/(-11)*(-8)

= -16+8*-20/-11*(-8)

= -16+8*-20/-11*-8

= -16+-160/-11*-8

= -16-160/-11*-8

= -16--14.545454545455*-8

= -16+14.545454545455*-8

= -16+-116.36363636364

= -16-116.36363636364

132.36363636364 (Round)= 132.35

For some values, such as the speed of light or the separation between the Earth and the sun, scientists and mathematicians long ago realized they needed a simpler way to write and refer to these large numbers.

They developed/created scientific notation at that time.

For us to estimate the order of magnitude:

Firstly, write the number in scientific notation.

Secondly, Round up to the nearest integer times a power of ten or power of ten.

Thirdly, Apply these estimates to your calculations.

Fourthly, If possible, compare the result to the exact one.

Example question, How many orders of magnitude are there in one million, for instance?

Answer will be, In order to represent the number 1,000,000, we will move the decimal to the left, stopping just before the first digit. The order of magnitude is determined by the quantity of left moves you make. Since we moved it six times, there are six orders of magnitude between ten and one million, which means that ten times six is equal to one million.

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The assertion of presentation confirms that the components of the financial statements are shown appropriately.

The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.

The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.

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Answer:

GOD BLESS YOU

Step-by-step explanation:

It take 2 minutes to cross this bridge at a constant speed of 20 miles per hour.

The unitary method is a method for figuring out a single unit's value, then multiplying that value by itself to get the required value. An individual or singular unit is referred to as unitary. Because of this, the goal of this method is to determine values in reference to a single unit. The unitary technique can be used, for instance, to determine how many kilometers a car can go on one litre of gas if it can travel 44 km on two litres of gas. A single unit's value is determined using the unitary approach, and the value of the necessary number of units can then be determined using this value.

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Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.

High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.

It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.

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To prove that for every positive integer n, the sum of the terms 123 + 234 + ... + n(n+1)(n+2) is equal to n(n+1)(n+2)(n+3)/4, we can use mathematical induction.

We will show that the equation holds true for the base case of n = 1 and then assume it holds for some arbitrary positive integer k. By proving that the equation holds for k+1, we can conclude that it holds for all positive integers n.

Base Case (n = 1):

When n = 1, the left-hand side of the equation is 1(1+1)(1+2) = 1(2)(3) = 6.

The right-hand side is n(n+1)(n+2)(n+3)/4 = 1(1+1)(1+2)(1+3)/4 = 6/4 = 3/2.

Since both sides of the equation evaluate to the same value of 6, the equation holds true for n = 1.

Inductive Hypothesis:

Assume that for some positive integer k, the equation holds true:

123 + 234 + ... + k(k+1)(k+2) = k(k+1)(k+2)(k+3)/4.

Inductive Step (n = k+1):

We want to prove that the equation holds true for n = k+1.

123 + 234 + ... + k(k+1)(k+2) + (k+1)(k+2)(k+3) = (k+1)(k+1+1)(k+1+2)(k+1+3)/4.

Using the inductive hypothesis, we have:

k(k+1)(k+2)(k+3)/4 + (k+1)(k+2)(k+3) = (k+1)(k+1+1)(k+1+2)(k+1+3)/4.

Factoring out (k+1)(k+2)(k+3) from both sides of the equation, we get:

(k+1)(k+2)(k+3)[k/4 + 1] = (k+1)(k+2)(k+3)(k+1+1)(k+1+2)/4.

Simplifying both sides, we have:

k/4 + 1 = (k+1)(k+1+1)(k+1+2)/4.

Expanding the right-hand side, we get:

k/4 + 1 = (k+1)(k+2)(k+3)/4.

Therefore, the equation holds true for n = k+1.

By establishing the base case and proving the inductive step, we conclude that the equation holds for all positive integers n.

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Answer:

i think two months im not sure tho

Step-by-step explanation:

Answer:

8x + 13y has to be less than or equal to 47.

Step-by-step explanation:

\(\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\ \)

\(\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\ \)

\(\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\\)

\(:\implies \sf Area = Length \times Breadth \\ \\ \\ \)

\(:\implies \sf 360=(x + 9 ) x \\ \\ \\ \)

\(:\implies \sf 360= {x}^{2} + 9x \\ \\ \\ \)

\(:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\ \)

\(:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\ \)

\(:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\ \)

\(:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\ \)

\(:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\ \)

\(\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\ \)

\(\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\ \)

\(\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\ \)

\(\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\ \)

You hiked a total distance of 4 1/4 to get to the overlook

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

Using the above as a guide, we have the following:

Total hike = Initial hike + Distance hiked when turned right

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

Total hike = 1 3/4 + 2 1/2

Evaluate the expression

So, we have

Total hike = 4 1/4

Hence, the total distance hiked is 4 1/4

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The nearest value of x is 56°. We solve this question using Pythagoras theorem for that we also find one of its side which is not given.

The square on the hypotenuse of a right-angled triangle has the same area as the sum of the squares on the other two sides, according to a Pythagorean theorem.

Given AB = 5 and AC = 9

By Using Pythagoras theorem,

AB² + BC² = AC²

5² + BC² = 9²

BC² = 9² - 5²

BC² = 81 - 25

BC = 7.48 (Approx.)

Now, we will find the value of x°

\(So, tan\ x^{\circ} = \frac{BC}{AB}\)

\(tan \ x^{\circ} = \frac{7.48}{5}\)

\(tan\ x^{\circ} = 1.496\)

\(x^{\circ} =tan^{-1} 1.496\)

\(x^{\circ} = 56.24^{\circ}\) , which is close to 56°

So the nearest value of x is 56°.

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Answer:

y= 5 x+ 1

Step-by-step explanation:

Answer:

i think its 21x + 11 = y

Step-by-step explanation:

sorry if this is wrong, if it is someone correct me.

Given:

To Determine: The average rate of change of T with respect to a over the interval of 24000 and 30000

Solution

Let us determine the value of a at the interval given

Let us determine the value of T at the given interval using the values of a

The rate of change would be

Hence, the rate of change of T with respect to a is -46.512 seconds per 1000ft

To find Mx, My, and (x, y) for the laminas of uniform density rho bounded by the graphs of the equations y = 8x, y = 0, and x = 8, we need to calculate the moments of the laminas.

Mx represents the moment about the y-axis, My represents the moment about the x-axis, and (x, y) represents the centroid of the laminas.

To calculate Mx, we integrate the product of the density rho, the y-coordinate squared, and the differential area element dA:

Mx = ∫∫ y^2 * rho * dA

Since the laminas have uniform density, rho is constant, and we can simplify the equation:

Mx = rho * ∫∫ y^2 * dA

To calculate My, we integrate the product of the density rho, the x-coordinate squared, and the differential area element dA:

My = ∫∫ x^2 * rho * dA

Again, since the laminas have uniform density, rho is constant, and we can simplify the equation:

My = rho * ∫∫ x^2 * dA

To find the centroid (x, y), we divide the moments Mx and My by the total mass (m) of the laminas:

x = Mx / m

y = My / m

To calculate these values, we need to set up the appropriate double integrals over the region bounded by the given equations.

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Answer:

Length of the ladder = 9.5 feet

Step-by-step explanation:

Point A of ladder AC is at 9 ft from the ground and point C is 3 feet from the base of the wall,

AB = 9 feet

BC = 3 feet

By applying Pythagoras theorem in the right triangle,

AC² = AB² + BC²

AC² = 9² + 3²

AC² = 81 + 9

AC = √90

     = 9.486 feet

     ≈ 9.5 feet

Therefore, length of the ladder is 9.5 feet.

Answer: -5 , -3

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

You would get 36 dollars from 90 liters.

The answer is in the photo.

Answer:

217

Step-by-step explanation:

angles in a pentagon =540°

y°+126°+114°+83°=540°

y°+323°=540°

y°=540°-323°

y°=217°

Answer:

\(5x = - 1 - 1 = 5x \div 5 = - 2 \div 5 = 2 \div 5\)

A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The range of customer satisfaction scores is a. 4

To find the range of customer satisfaction scores, we need to calculate the difference between the highest and lowest scores.

The highest score in the given data set is 10, and the lowest score is 6. Therefore, the range is 10 - 6 = 4.

The range is a measure of variability and represents the spread of the data. In this case, the customer satisfaction scores range from 6 to 10, indicating a spread of 4 points on the scale.

It's important to note that the range only considers the highest and lowest scores and does not take into account the distribution of the remaining scores.

Therefore, it provides a limited understanding of the overall variability in customer satisfaction.

Other measures such as standard deviation or interquartile range may provide a more comprehensive analysis of the data distribution.

The correct option is: a. 4

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Complete question below :

A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The survey results for a sample of 50 customers are as follows: 8, 9, 7, 6, 9, 8, 10, 7, 8, 6, 7, 9, 10, 9, 8, 7, 6, 9, 8, 10, 7, 6, 7, 8, 9, 10, 8, 7, 9, 8, 6, 7, 9, 8, 10, 7, 8, 6, 9, 8, 7, 10, 9, 8, 6, 7, 9, 8, 10, 7, 8.

What is the range of customer satisfaction scores?

a. 4

b. 3

c. 5

d. 2

e. 1

The median of the stem-and-leaf plot is 23

A. Yes, the table shows a probability distribution.

B. No, the sum of all the probabilities is not equal to 1.

C. No, not every probability is between 0 and 1 inclusive.

D. No, the random variable x is categorical instead of numerical.

E. No, the random variable x's number values are not associated with probabilities.


A probability distribution is a table that shows the possible values of a random variable and the probability associated with each value. In order for a table to be considered a probability distribution, it must meet the following criteria:

- The sum of all the probabilities must be equal to 1.
- Each probability must be between 0 and 1 inclusive.
- The random variable must be numerical.
- Each value of the random variable must be associated with a probability.

Based on these criteria, we can determine whether or not the table in question is a probability distribution. If the table meets all of the criteria, then it is a probability distribution and we would select option A.

If the table does not meet one or more of the criteria, then we would select the corresponding option(s) that explain why it is not a probability distribution (options B, C, D, and/or E).

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Step-by-step explanation:

Force = Mass × Acceleration

Hope it helps :)

★ As per newton's second law of motion, force is measured as the product of mass and acceleration\(.\)

F denotes force

m denotes mass

a denotes acceleration

➤ Force is a polar vector quantity as it has point of application.

It has both magnitude as well as direction.

The last sentence of the proof is Because f+e=c, \(a^{2} + b^{2} = c^{2}\). Hence, option b is the correct answer to this question.

We have that △ABC and △CBD are right-angled triangles.

We have to prove \(a^{2} + b^{2} = c^{2}\).

We are given the proof too.

Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA.

Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA.

The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as

\(a^{2}\) = cf and \(b^{2}\) = ce.

Adding \(b^{2}\) to both sides of the first equation, \(a^{2}\) = cf, which results in the equation \(a^{2} + b^{2} = cf +b^{2}\).

Because \(b^{2}\) and ce are equal, ce can be substituted into the right side of the equation for \(b^{2}\), resulting in the equation \(a^{2}+b^{2}\) = cf + ce.

Applying the converse of the distributive property results in the equation  \(a^{2}+b^{2}\)= c(f + e).

Now Because f+e=c, \(a^{2} + b^{2} = c^{2}\) .

Hence, the last sentence of this proof is Because f+e=c, \(a^{2} + b^{2} = c^{2}\).

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The complete question is -

Which is the last sentence of the proof?

a. Because f + e = 1, \(a^{2} + b^{2} = c^{2}\).

b. Because f + e = c, \(a^{2} + b^{2} = c^{2}\).

c. Because \(a^{2} + b^{2} = c^{2}\), f + e = c.

d. Because \(a^{2} + b^{2} = c^{2}\), f + e = 1.

Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).

Answer: option b

Step-by-step explanation:

The zeroes of function \(g(x) = x^2 + 8x + 16\)  or  \(g(x) = (x+4)^2\) is at x = -4.

We need to solve for x when g(x) equals zero in order to find the zeros of the function \(g(x) = x^2 + 8x + 16\). In simple words, we have to find the value of x that make the equation \(x^2 + 8x + 16 = 0\) true.

By using the identity, \(a^{2} + 2ab + b^{2}= (a+b)^{2}\)

\(x^2 + 8x + 16 = 0\) can be easily factored as:

\((x + 4)^2\) \(=0\)

Using the zero-product property, each factor is equal to zero: x + 4 = 0. Solving for x, we get x = -4.

Therefore, there is only one zero of the function \(g(x) = x^2 + 8x + 16\) is x = -4. This indicates that the function's parabola intersects the x-axis at x = -4.

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Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides,beginning with a triangle which has 3 sides

The 6th shape in this pattern is an octagon, which has 8 sides. This pattern follows a sequence of shapes, beginning with a triangle which has 3 sides, followed by a square which has 4 sides, then a pentagon which has 5 sides, and so on. Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides.

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