calculate 0.069 x 7000

The correct answers are:

vertical angle theorem

angle addition postulate

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

The evidence in the proof that supports the statement that m/AOW = 45° is:

Statement 3: ZZOB ZXOA. This means that ZOB and ZOA are vertical angles, which means they are congruent.

Statement 4: m/XOA = 45°. This is the measure of ZOA, which is congruent to ZOB.

Statement 7: m/XOA + m/AOW = m/XOW. This is the angle addition postulate, which states that the sum of the measures of the angles in a triangle is 180°.

So, combining these pieces of evidence, we have:

m/XOA = 45° and m/XOA + m/AOW = m/XOW,

therefore m/AOW = m/XOW - m/XOA

                              = 90° - 45°

                              = 45°.

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Answer:7, 4, 6,

Step-by-step explanation:

The solution is, the probability is, 0.5532.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

P( 31<X<35.7)

P(X>31)= P(Z>(31-μ)/σ)

           = P(Z>(31-34.6)/2.8)

           = P(Z> -1.2857)

P(X<35.7)= P(Z<(35.7-μ)/σ)

              = P(Z<(35.7-34.6)/2.8)

              =P(Z< 0.392857)

From z-distribution table

P(Z< -1.29)= 0.09853

p(Z< 0.39) = 0.65173

P( 31<X<35.7)= P(Z<0.39)- P(Z<-1.29)

                     = 0.65173- 0.09853

                     =0.5532

Hence, The solution is, the probability is, 0.5532.

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The zeroes of the polynomial  f(x) = 2x³ - 11x² - 20x - 7 are - 1, - 1/2, and 7.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, A cubic polynomial f(x) = 2x³ - 11x² - 20x - 7.

Now, If f(7) = 0 then (x - 7) is a factor of the polynomial f(x).

Therefore, f(x) = (x - 7)(2x² + 3x + 1).

Now, 2x² + 3x + 1 = 0.

2x² + 2x + x + 1 = 0.

2x(x + 1) + 1(x + 1) = 0.

(x + 1)(2x + 1) = 0.

x = - 1 or x = - 1/2.

So, The zeros are - 1, - 1/2, and 7.

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The angle is formed by a secant and tangent line is GSE.

NS is a secant, whereas SE is a tangent line. Thus, they combine to form the angle GSE.

Tangents to circles are lines that cross the circle at a single point. Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent crosses it, is perpendicular to the tangent. Any curved form can be considered a tangent. Tangent has an equation since it is a line. A line that touches a circle just once is said to be tangent to it. A point to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency.

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The proof of the parallelogram is given as follows:

A parallelogram is a quadrilateral with the following properties:

These properties make parallelograms useful for studying transformations and in solving problems in geometry, physics, engineering, and other fields.

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The solution is, : d) 255 ≤ f(x) ≤ 340.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

The function

f(x)= 8.5x

represents the amount of money that Steve earns given the number of hours, x, he works.

The dependent variable is the total amount that he earns, f(x) while the independent variable is the number if hours, x that he works. The range is the possible values of the dependent variable that satisfies the equation.

Steve works between 30 and 40 hours per week.

This means that the lowest amount that he earns is 8.5×30 = $255

The highest amount that he earns is 8.5× 40 = 340.

Therefore, the range is

255 ≤ f(x) ≤ 340

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none of them

c cc c c c c c c c c c c c c c c c c

The output of the function g(x) for the given input is 9.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is [tex]g(x)=3^{(\frac{x}{2} )}[/tex].

When we input 4 into g(x), we get

[tex]g(4)=3^{(\frac{4}{2} )}[/tex]

g(4)=3²

g(4)=9

Hence, the output is 9.

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The correct statements regarding the ordered pairs are given as follows:

The general format of an ordered pair is given as follows:

(x,y).

The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.

The two pairs on this problem are given as follows:

(0,3) and (4,6).

Hence the numeric values are given as follows:

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Answer: The product of 7 and 2/21 is equal to 2/3.

Step-by-step explanation:

To multiply 7 by 2/21, we can first simplify 2/21 to its lowest terms by finding the greatest common factor of 2 and 21, which is 1. Then we can multiply 7 by 2 and divide the result by 21:

7 x 2/21 = (7 x 2) / 21 = 14 / 21

The fraction 14/21 can also be simplified to its lowest terms by dividing both the numerator and denominator by the greatest common factor, which is 7:

14/21 = (2 x 7)/(3 x 7) = 2/3

Answer:

Step-by-step explanation:

The coefficient of variation (CV) is a measure of the relative variability of a set of data. It is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. The formula for calculating the CV is as follows:

CV = (Standard Deviation / Mean) * 100%

Here's how to calculate the CV step by step:

Calculate the mean: To find the mean, add up all the data points and divide by the number of data points. This will give you the average value of the data set.

Calculate the standard deviation: The standard deviation is a measure of the variability of a set of data. To calculate it, subtract each data point from the mean and square the result. Then add up the squared deviations and divide by the number of data points minus one. Finally, take the square root of the result to obtain the standard deviation.

Calculate the CV: Finally, divide the standard deviation by the mean and multiply by 100% to obtain the CV.

The CV is a useful measure when comparing data sets with different units of measurement or when comparing the variability of data sets with different means. It gives an indication of the degree of variation in the data set relative to the mean, with higher CV values indicating a higher degree of variability.

It is important to note that the CV should not be used to compare data sets with very different means, as it can be misleading in such cases. In those cases, it is better to use the standard deviation or other measures of variability.

A cuvette or spectrophotometer cell is the conventional term for the rectangular container into which the solution to be examined by UV-Vis spectrometry is put.

A cuvette is a tiny, square or rectangular container that can be constructed of glass, plastic, or quartz and is used to hold little amounts of liquid samples.

It features two clear sides that are parallel to one another and is optically transparent.

The spectrophotometer measures the light that travels through the sample on these faces.

The cuvette's design guarantees consistent sample thickness and interference-free light transmission.

A more broad phrase, "spectrophotometer cell," can apply to any sort of cell or container used to store a sample for spectrophotometer examination, including cuvettes and other containers like test tubes or vials.

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Answer:

2.2325 seconds

Step-by-step explanation:

We know

It takes 8.93 seconds for a train to travel 4 yards.

How far does it take the train to travel 1 yard?

We take

8.93 divided by 4 = 2.2325 seconds

So, it takes the train 2.2325 seconds to travel 1 yard.

The value of w is given by the proportion w = 8.333

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

14 / w = 8.4 / 5

Multiply by w on both sides of the equation , we get

w ( 8.4 / 5 ) = 14

Multiply by 5 on both sides of the equation , we get

8.4w = 70

Divide by 8.4 on both sides of the equation , we get

w = 70 / 8.4

w = 8.333

Hence , the equation is w = 8.333

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The required the average speed must be at least 52.5 mph to travel 420 miles in 8 hours.

A difference between two values indicates whether one is smaller, larger, or simply not equal to the other. A B indicates that a and b are not equal. When a b, an is said to be less than b. A > B indicates that an is superior to b. These two constitute tight inequity.

Let the average speed of the trip "x" in miles per hour. To find out what the average speed must be, we need to write an inequality based on the given information and then solve it.

The formula for distance, speed, and time is:

distance = speed * time

So, the distance traveled can be written as:

distance = x * 8 hours

And the inequality based on the given information that the distance must be at least 420 miles is:

x * 8 ≥ 420

To solve for x, we need to divide both sides of the inequality by 8:

x ≥ 420 / 8

x ≥ 52.5

So, the average speed must be at least 52.5 mph to travel 420 miles in 8 hours.

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Answer:

We can use the Pythagorean theorem to solve this problem. Let's call the length of the incline plane "L". We know that the height of the shelving unit is 7 ft and the base of the incline plane is 11 ft. The hypotenuse of the right triangle formed by the incline plane, the floor, and the shelving unit will be the length of the incline plane. Using the Pythagorean theorem:

L^2 = 11^2 + 7^2

L^2 = 121 + 49

L^2 = 170

L = sqrt(170)

So the length of the incline plane is approximately 13.04 feet.

Answer:

36in

Step-by-step explanation:

1ft = 12in

8ft = 96in 3ft = 36in

96*2 + 36*2 = 192 + 72 =264in

300-264=36

For the given figure, the surface area of box is 436.95m².

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighbouring sides.

The measurement of three-dimensional solids' surfaces the surfaces of three-dimensional solids, such as cubes, spheres, prisms, and pyramids, in

square or meter units, is known as Surface area.

Surface area of Square = side²

Surface area of Rectangle = Length x Breadth

Surface area of triangle = 1/2 × Base x Height

So,

Surface area of Square=

= 10² = 100m²

Surface area of Rectangle 1 =

= 11 x 9 = 99m²

Surface area of Rectangle 2 =

11 x 13.45 = 147.95m²

Surface area of Triangle =

= 1/2 x 10 x 9 = 45m²

So, Surface area of box = Surface area of Square + Surface area of

Rectangle 1+ Surface area of Rectangle 2 + Surface area of Triangle + Surface area of Triangle

= 100 + 99 + 147.95 + 45+  45

= 436.95m²

Therefore, Surface area of the box is 436.95m².

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If the experiment is repeated 140 times, the number of times both spins will be odd numbers, 35.

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The theoretical probability of both spins being odd numbers is 9/36.

This means that, if the spinner was spun an infinite number of times, 9 out of every 36 spins would result in both spins being odd numbers.

In the repeated experiment, Ryan spun the spinner 140 times.

This means that, based on the theoretical probability, we can expect the number of times both spins will be odd numbers to be approximately

= 140 x 9/36

= 35

The answer is 35, with the expectation that the actual number of times both spins will be odd numbers in 140 trials may not be exactly 35.

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The interior painting cost is calculated according to the cost of the paint and the area that to be painted.

Determine where there are carpets in your house. Increase this by four times. For example, multiply 500 square feet of carpet by four to get 20000 square feet. Find out the current rate per square foot that your painter charges. For instance, depending on the scenario, painters may charge anywhere between Rs 26 and Rs 30 per square foot. Consequently, your expense would be 27 x 2000, or Rs 54,000. This figure is on the high side. After taking measurements, the painter would provide you with a final statement outlining the specific amount of work performed. This is how interior painting cost is calculated.

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Answer:

77

Step-by-step explanation:

here, you're multiplying 7 by the "sum of 6 and 5", which just means to add 6 and 5

so, you're multiplying 7 by 11

7*11=77

The amount of time it would take for Mr. Smith's rocket to return to the ground is 8 seconds.

Based on the information provided, we can logically deduce that the height (h) in meters, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + 128t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 128t

16t² = 128t

16t = 128

Time, t = 128/16

Time, t = 8 seconds.

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The volume of a cone with the same radius and height is D. 26 cm³.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h and the volume of a cone is (1/3)πr²h.

Therefore, The volume of a cone of the same radius and height is one-third the volume of a cylinder.

Given, A cylinder has a volume of 78 cm³.

Therefore, The volume of a cone with the same radius and height is,

= (78/3) cm³

= 26 cm³.

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The answer is D ( 1/3 cup dish soap)

Answer: D

explanation: i'm not good at explaining stuff

The standard deviation of the given data is  8.

Option B is the correct answer.

To calculate the standard deviation of the given data, we can use the following formula:

σ = √ [Σ(xi - μ)² / N

where σ is the standard deviation, xi is each data point, μ is the mean of the data, and N is the total number of data points.

We have,

The mean of the data:

μ = (24 + 28 + 32 + 36 + 40 + 44 + 48) / 7

  = 36

Now,

We can calculate the sum of squared differences from the mean.

Σ(xi - μ)²

= (24 - 36)² + (28 - 36)² + (32 - 36)² + (36 - 36)² + (40 - 36)² + (44 - 36)²

+ (48 - 36)²

= 144 + 64 + 16 + 0 + 16 + 64 + 144

= 448

And,

We can substitute these values into the formula for the standard deviation.

So,

σ = √ [Σ(xi - μ)² / N]

= √[448 / 7]

= 8.13

= 8

Therefore,

The standard deviation of the given data is  8.

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Answer:

2011 2016 685,4632 thousand

Step-by-step explanation:

The probability that the Yankees scored fewer than 5 runs is 0.805.

It is the chance of an event occurring from a total number of outcomes.

The formula for probability is:

Probability = Number of required events / Total number of outcomes.

We have,

We will use conditional probability.

P(A/B) = P(A∩B) / P(B)

The probability that the Yankees won a game.
= 0.59

This means,

The probability that the Yankees lost a game.
P(A) = 1 - 0.59 = 0.41

The probability that the Yankees scored 5 or more runs.

= 0.45

P(B) = The probability that the Yankees scored fewer than 5 runs.

So,

The probability that the Yankees lose and score fewer than 5 runs.

P(A ∩ B) = 0.33

Now,

The probability that the Yankees scored fewer than 5 runs.

P(B/A) =P(A∩B) / P(A)

So,

= 0.33 / 0.41

= 0.8048

= 0.805

Thus,

The probability that the Yankees scored fewer than 5 runs is 0.805.

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Equivalent expression for the expression ( log 2 - log 6 ) is,

⇒ - log 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ log 2 - log 6

Now, Simplify the expression by using logarithmic rule as;

⇒ log 2 - log 6

⇒ log 2 / 6

⇒ log 1/3

⇒ log 3⁻¹

⇒ - log 3

Therefore, We get;

Equivalent expression for the expression ( log 2 - log 6 ) is,

⇒ - log 3

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