Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
1
2345
y
4
-5
-14
-23
-32

The theoretical mean of the uniform distribution between 0 and 12 is given as follows:

6.

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The bounds for this problem are given as follows:

a = 0 and b = 12.

As each outcome is equally as likely, the mean of the distribution is equals to the mean of the bounds, hence:

(0 + 12)/2 = 6.

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Answer:

75a%

or

3/4a

or

0.75a

Step-by-step explanation:

I answer for what I understand, a number a is reduced by 50% and the result increased by 50%

a - 50% = 50% or 1/2 or 0.5

    2. increase

50 + 50% = 75% or 3/4 or 0.75

If the expression be x² - 3x - 4 then the factorize term be (x - 4)(x + 1).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

If the expression, ax³ + bx² - 5x + 2a is exactly divisible by x² - 3x - 4, then it is also divisible by both x - 4 and x + 1

If f(x) = ax³ + bx² - 5x + 2a, then f(4) = f(-1) = 0 by the factor theorem.

Hence, a(4)³ + b(4)² - 5(4) + 2a = 0 and

a(-1)³ + b(-1)² - 5(-1) + 2a = 0

⇒ so, 66a + 16b = 20 and a + b = -5

33a + 8b = 10     ...(1)

a + b = -5           ...(2)

simplifying the above (1) and (2), we get

33a + 8(-5 - a) = 10

i.e. 25a - 40 = 10

so, a = 2 ⇒ b = -7

Therefore, the function be f(x) = 2x³ - 7x² - 5x + 4

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Step-by-step explanation:

[tex] \frac{ \tan( \alpha ) }{1 + \sec( \alpha ) } = - \cot( \alpha ) + \csc( \alpha ) [/tex]

Multiply by 1-sec(a)

[tex] \frac{ \tan( \alpha ) (1 - \sec( \alpha ) }{(1 + \sec( \alpha ) )(1 - \sec( \alpha ) )} [/tex]

[tex] \frac{ \tan( \alpha ) - \tan( \alpha ) \sec( \alpha ) }{1 - \sec {}^{2} ( \alpha ) } [/tex]

[tex] \frac{ \tan( \alpha ) }{1 - \sec {}^{2} ( \\ \alpha ) } - \frac{ \tan( \alpha ) \sec( \alpha ) }{1 - \sec {}^{2} ( \alpha ) } [/tex]

[tex] \frac{ \tan( \alpha ) }{ - \tan {}^{2} ( \alpha ) } + \frac{ \tan( \alpha ) \sec( \alpha ) }{ \tan {}^{2} ( \alpha ) } [/tex]

[tex] - \frac{1}{ \tan( \alpha ) } + \frac{ \sec( \alpha ) }{ \tan( \alpha ) } [/tex]

[tex] - \cot( \alpha ) + \frac{ \frac{1}{ \cos( \alpha ) } }{ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } } [/tex]

[tex] - \cot( \alpha ) + \frac{1}{ \sin( \alpha ) } [/tex]

[tex] - \cot( \alpha ) + \csc( \alpha ) [/tex]

The kite is flying approximately 76.118 feet high.

What is ratio ?

Ratio can be defined as the given value divided by the total value.

We can use trigonometry to solve this problem.

Let's call the height of the kite h. Then, we have a right triangle, with one angle equal to 80 degrees and the adjacent side equal to 77 feet. We can use the sine function to find the height of the kite:

sin(80) = h/77

So, h = 77 * sin(80).

Using a scientific calculator or a trigonometry table, we can find the value of sin(80) to be approximately 0.98

Therefore, the height of the kite is:

h = 77 * 0.98 = 76.11

Hence, The kite is flying approximately 76.118 feet high.

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Answer: no exact answer

Step-by-step explanation:

The result of fraction multiplication are:

2/3 x 2/5 = 4/15

4/2 x 6/3 = 4

2/4 x 3/6 = 1/4

2/3 x 6/3 = 4/3

Given that, simplify the following:

2/3 x 2/5

4/2 x 6/3

2/4 x 3/6

2/3 x 6/3

For the expression 2/3 x 2/5:

To multiply fractions, we multiply the numerators together and the denominators together.

So, (2 x 2)/(3 x 5) = 4/15.

For the expression 4/2 x 6/3:

Again, we multiply the numerators together and the denominators together.

Thus, (4 x 6)/(2 x 3) = 24/6 = 4.

For the expression 2/4 x 3/6:

Following the same process, we multiply the numerators and denominators.

Therefore, (2 x 3)/(4 x 6) = 6/24 = 1/4.

Lastly, for the expression 2/3 x 6/3:

Similarly, we multiply the numerators and denominators together.

Hence, (2 x 6)/(3 x 3) = 12/9 = 4/3.

Therefore, the result of fraction multiplication are:

2/3 x 2/5 = 4/15

4/2 x 6/3 = 4

2/4 x 3/6 = 1/4

2/3 x 6/3 = 4/3

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The value of x that will make L||m is 9.

Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life

The angle (4x²- 324)° is equal to 90°. That is:

(4x²- 324)° = 90°

4x²- 324 = 90

4x² = 90 + 324

4x² = 324

x² = 324/4

x² = 81

x = √81

x = 9

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Answer: 97%

Step-by-step explanation:

If for the 3 exams, the mean was 83% and the first two were 76%, that means..

76 + 76 = 152 (divided by two = 76%/current mean)

In order to get an average of 83%, Colin has to have a score that is higher than 76% and somewhat closer to above 90%.

By doing trial and error (testing different percents between 76% and 80%),  you can come to the conclusion that, 76% + 76% + 97% = 249 / 3 = 83

On solving the provided question we can say that  the area of a decagon is 5a2/2 × √5+2√5 5 + 2 5 ,

A decagon in geometry is a decagon or not. A basic decagon has 144° of inner angles added up. A decagram is a self-intersecting regular decagon. A decagon is a polygon that has ten sides, ten internal angles, and ten vertices. A decagon or decagon is a shape that may be found in geometry. Furthermore, it has 10 horns and 10 horns. A 12-sided polygon is called a dodecagon. A regular polygon known as a regular dodecagon specifically has sides that are of the same length and angles that are uniformly spaced around a circle.

the area of a decagon is 5a2/2 × √5+2√5 5 + 2 5 ,

'a = side length of the decagon

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Answer:

Below

Step-by-step explanation:

Slope = rise / run = change in y / change in x  = -30 / 6 = -5

Answer: -5

Step-by-step explanation:

Start with the slope formula

m = (y2 - y1) / (x2 - x1)

Substitute point values in the formula

m = (20 - 50) / (-4 - -10)

Simplify the fraction

m = (20 - 50) / (-4 - -10) = -30 / 6

Solve for slope (m)

m = -5

The time Jim takes alone to mow the lawn is 10 hours.

Jim and Craig, working together  can mow the lawn in 8 hours. Working alone, Craig take 4 times as long as Jim.

Therefore, the time it takes Jim to mow the lawn alone can be calculated as follows:

let

x = time use by Jim to mow the lawn

Therefore,

time Craig use to mow the lawn = 4x

Hence,

1 / 8 = 1 / 4x + 1 / x

1 / 8 =  1 + 4/ 4x

1 / 8 = 5 / 4x

cross multiply

4x = 40

x = 40 / 4

x = 10

Therefore,

time Jim takes alone to mow the lawn = 10 hours.

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The product of a, b, and c would be, 9/8

What is Expression?

An expression, often known as a mathematical expression, is a finite combination of symbols that is well-formed according to context-dependent principles.

First, let's simplify the expression:

              [tex]\frac{6 x^y^{-1} }{\sqrt[{4} ]{(16x^5y^2)}}\\\\\ = \frac{(6x^2y^{-1} )}{4x^{\frac{5}{4} } y^{\frac{1}{2} } } \\\\[/tex]

We can simplify further by dividing both the numerator and denominator by x²:

                       [tex]\frac{6x^{2} y^{-1} }{4x^{\frac{5}{4} } y^{\frac{1}{2} }} \\\\= \frac{6y^{-1} }{4x\frac{3}{4} y^{\frac{1}{2} } } \\\\= \frac{\frac{6}{4} *x^{2} y^{-1} }{x^{\frac{3}{4} }y^{\frac{1}{2} } } \\\\=\frac{3}{2x^{\frac{3}{4} }y^{\frac{1}{2} } } \\\\[/tex]

So, a = 3, b = -3/4, and c = -1/2.

The product of a, b, and c is 3 * -3/4 * -1/2 = 9/8.

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The length of segment YS within the square QRST is equal to 6.

Squares are quadrilaterals with four sides of equal length and two diagonals of equal length, in that order, diagonals QS and RT are the diagonals of square QRST. Besides, we have the following information:

VY = 13, RV = 19

The length of segment YS can be found by means of the following formula:

RV = VY + YS

YS = RV - VY

YS = 19 - 13

YS = 6

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The student spends x hours tutoring, so y = 15.50x + 35, where x is the number of hours of tutoring and y is the total cost. Therefore, the total cost for a student who receives tutoring for two hours is $66.

According to the dictionary definition, a tutor is a person who provides one-on-one or occasionally small-group teaching. The goal of tutoring is to enable students to help themselves, or to support or mentor them until they reach the point at which they are self-sufficient learners and no longer require a tutor.

Tutors have the ability to, and frequently do, teach students new things. However, when comparing tutoring with teaching, what is being taught  is the main difference. Teachers are meant to teach students new content, and tutors teach students how to learn new content.

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Answer: ~ 7.72 square miles

Step-by-step explanation:

One square kilometer is equal to around 0.386 miles.

To get to 20 square kilometers, multiply 0.386 times 20.

hope this helps

MM

Answer:

22/22X22-22+22= 22÷5 =4.5

33/33X33-33+33=33÷5=6.6

The graph of the quadratic function y = -2x² + 1 is given by the image presented at the end of the answer.

The parent quadratic function is given as follows:

y = x².

The transformed quadratic function is given as follows:

y = -2x² + 1.

The transformations are given as follows:

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Part A:

Look at photo

Part B:

After 5 minutes, the altitude of the airplane is 20,500 feet. This means that the airplane has been descending for 5 minutes and has lost an altitude of 10,250 feet.

After 30 minutes, the altitude of the airplane is -29,250 feet. This means that the airplane has been descending for 30 minutes and has lost an altitude of 60,000 feet. The negative value of the altitude indicates that the airplane has landed or is close to landing.

At both 5 minutes and 30 minutes, the airplane is descending. The rate of descent is constant, as represented by the slope of the equation, and is equal to -1025 feet per minute. At 5 minutes, the airplane is still at a high altitude, while at 30 minutes the airplane has landed or is close to landing, as indicated by the negative value of the altitude.

Answer:

Step-by-step explanation:

Part A:

x  |  y  |  Equation

0  | 30,750 | y = -1025*0 + 30,750

5  | 27,250 | y = -1025*5 + 30,750

8  | 23,750 | y = -1025*8 + 30,750

10 | 20,250 | y = -1025*10 + 30,750

30 | -20,250 | y = -1025*30 + 30,750

Part B:

After 5 minutes, the altitude is 27,250 feet. This means that the airplane has been descending steadily for 5 minutes and is now at a lower altitude than when it started.

After 30 minutes, the altitude is -20,250 feet. This means that the airplane has been descending steadily for 30 minutes and is now much lower than when it started. The airplane is close to the ground and about to land.

Answer:

you su ck hah lol

Step-by-step explanation:

ez

The total mass of all three boxes to be delivered by the mail carrier is 180,000 grams.

Given the data in the question;

Mass of the boxes carried by the mail carrier.

Mass of first box = 80kg

Mass of second box = 40kg

Mass of third box = 60kg

First, we convert from kilograms to grams.

Note: 1 kg = 1000g

Hence;

Mass of first box = 80kg = ( 80 × 1000 )g = 80000g

Mass of second box = 40kg = ( 40 × 1000 )g = 40000g

Mass of third box = 60kg = ( 60 × 1000 )g = 60000g

Now, we add the mass of the boxes in gram.

80000g + 40000g + 60000g

180,000 grams

Therefore, the total mass is 180,000 grams.

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Answer: C) triangles ABC is not similar to  the triangle DEF because angles B and D re not congruent.

Step-by-step explanation:

...as it say...

The graph of the linear function h has slope the function h in the form

h(x) = 8x + 9.

Straight lines make up the graph of linear functions. The following is the format of a linear function. y = f(x) = a + bx A linear function has a independent variable so one dependent variable.

As a result of the task's objectives, it is necessary to identify the linear expression that corresponds to the verbal description that has been provided.

Since f(x) = axe + b is the typical slope-intercept form of a linear function,

an is the slope (rate of change), and b is the y-intercept (initial value).

g = -12x + 100 is the necessary linear function, which is what has been presented.

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(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.

Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.

Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.

Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.

Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.

The mean and median are measures of central tendency and do not directly measure variability.

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The probability of selecting a Democrat and then an Independent is  (6/16) * (6/15) = 3/40. The probability of selecting two Republicans with replacement is (4/16) * (4/16) = 1/16.

What is probability ?

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. It is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation. Probability is used in many fields, such as mathematics, statistics, science, engineering, economics, and social sciences, to model and analyze uncertain situations and make predictions about the future based on available data.

(a) selecting a Democrat and then an Independent without replacement.

The probability of selecting a Democrat on the first draw is 6/16, and the probability of selecting an Independent on the second draw, without replacement, is 6/15. So the probability of selecting a Democrat and then an Independent is:

(6/16) * (6/15) = 3/40

(b) selecting two Republicans with replacement.

The probability of selecting a Republican on the first draw is 4/16, and with replacement, the probability of selecting another Republican on the second draw is also 4/16. So the probability of selecting two Republicans with replacement is:

(4/16) * (4/16) = 1/16

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Answer:

270 square units

Step-by-step explanation:

The area of a regular hexagon is given by the equation:

A = (1/2)(a · P)

where a is the hexagon's apothem and P is its perimeter.

1. We can first solve for the hexagon's perimeter by multiplying its side length (given as 15) by 6, since there are 6 sides.

P = 15 · 6 = 90

2. Now, we can plug that perimeter value into the formula for the area of a regular hexagon (above).

A = (1/2)(90 · 6)

A = (1/2)(540)

A = 270 square units

Answer:

Step-by-step explanation:

(-4 - 8)/(5 + 1)= -12/6 = -2

Option C

The  fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.

One inch is equivalent to 25.4 millimeters internationally.

Expressing this relationship as a formula is as follows.

1 inch = 25.4mm

This official, standardized measurement has been used in international records since 1959.

Both inches and millimeters are units of measurement. Inches belong to the British system of units, and millimeters belong to the metric system of units.

Inches are used in the United States, but it is often necessary to convert this unit of measurement to a metric unit of measurement, such as "millimeters." for scientific purposes. Conversely, there are 0.0393700787402 inches in millimeters. 

Thus , the  fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.

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The value of x to the nearest integer is $294.

percentage, a relative value indicating hundredth parts of any quantity.

We can use the formula for the present value of an increasing annuity to solve this problem:

PV = x/(i-g) × (1 - (1+g)/(1+ i)ⁿ)

where PV is the present value,

x is the first payment,

i is the effective annual interest rate,

g is the annual increase rate of the payments, and

n is the total number of payments.

Substituting the given values, we have:

7229.50 = x/(0.07-0.04) (1 - (1+0.04)/(1+0.07)²⁰)

Simplifying and solving for x, we get:

x = 7229.50×0.03 × (1 - 1/1.07^20) / (1.04 × (1 - 1/1.07²⁰))

x= $294

Therefore, the value of x to the nearest integer is $294.

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The required overall translation is T<−9,−5>(ABC). The correct answer would be option B.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Starting with triangle ABC, we first apply the transformation T<−5,−3>, which means each vertex of the triangle is shifted 5 units to the left and 3 units down. So the triangle becomes A'B'C'.

Next, we apply the transformation T<−4,−2> to triangle A'B'C', meaning that each vertex is shifted 4 units to the left and 2 units down.

To find the overall effect of these two transformations, we can think of the second transformation as shifting the entire triangle produced by the first transformation.

In other words, we're combining the effects of the two transformations by adding the translations together.

So, the overall translation is T<−5 + −4, −3 + −2> = T<−9,−5>,

Thus, the correct answer would be option B: T<−9,−5>(ABC).

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