Given the exponential equation, y = 100(1/5)x, circle the letter that accurately describes the table of values:

A. Increasing by a multiplication of 5. B. Increasing by an addition of 5.
C. Decreasing by a division of 5. D. Decreasing by a subtraction of 5.

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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Combining the ideal nutrients (such as iron and vitamin C), taking probiotics and prebiotics, controlling stress, and thoroughly chewing food these helps to improve absorption of nutrients .

When nutrients are absorbed into your bloodstream and sent to your body's cells, absorption takes place in the small intestine. 1st slide of 1. Food must be digested in order to be broken down into nutrients that the body may use for energy, development, and cell repair.

Food molecules, water, and dietary minerals are stored in the hollow of the upper small intestine.

Following digestion, food is broken down into nutrients such proteins, lipids, carbs, vitamins, and minerals. All of these nutrients are taken up by the small intestine and absorbed into the blood, where they are then transported to various body organs.

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The ultimate purpose of constructing a standard curve is to use it to calculate the concentration of a substance in solution.

What is a standard curve?

A standard curve is a graphical representation of a mathematical function that relates the concentration of a solution to the amount of light that passes through it. The majority of standard curves have a linear relationship between the dependent and independent variables. These curves are particularly useful for chemical tests that require the use of an instrument, such as a spectrophotometer.

A standard curve is created by generating a series of known concentrations of a specific compound in a solution. The absorption values are measured, and the data are then plotted on a graph. The resulting data points can then be utilized to create a standard curve, which can be used to identify the concentration of unknown samples.

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Answer:

x = 23

Step-by-step explanation:

∠ ABE = ∠ BEF = 4x ( alternate angles )

Since DBF is a straight line then the 3 angles sum to 180°, that is

x + 4x + 65 = 180

5x + 65 = 180 ( subtract 65 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23

Answer:

Step-by-step explanation:

Simple Interest = 7000×3×5/100

= 70×15 = 1050 $

Answer:

1050

Step-by-step explanation:

p=7000

r=5%

t=3

s.i =PxTxR/100

=7000x5x3/100

= 1050 #

The angle of elevation of the sun is 38.24 degrees (rounded to two decimal places).

The ratio of the height of the tree and the length of the shadow can be found by using the formula for tan which is given by:

tan(x) = (opposite/hypotenuse)

In the given problem statement, the height of the tree is opposite to the angle we are trying to find and the length of the shadow is the hypotenuse of the right-angled triangle. Therefore, we can say that:

tan(x) = opposite/hypotenuse = 86/110

We can use the inverse tangent function to find the value of x. This is because tan is the ratio of the opposite side (height of the tree) to the adjacent side (length of the shadow), and the inverse tangent function gives the angle that has that ratio.

So, tan x = 86/110 => x = tan⁻¹ (86/110) = 38.24 degrees (rounded to two decimal places). Therefore, the angle of elevation of the sun is 38.24 degrees.

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Answer:

Step-by-step explanation:

Solve by Factoring 2x^2-9x=x^2-20. 2x2−9x=x2−20 2 x 2 - 9 x = x 2 - 20. Step 1. Move all the expressions to the left side of the equation.

:)

Answer: the first graph

Step-by-step explanation:

vertical intercept (0,3)

slope m=1, b=3

The probability that Emme answers exactly 3 questions correctly is 0.1961.

Since each question has four answer choices and only one is correct, the probability of Emme randomly guessing the correct answer for each question is 1/4 = 0.25. Emme needs to answer exactly 3 out of the 9 questions correctly, so we use the binomial distribution with n = 9 and p = 0.25 to calculate the probability:

P(X = 3) = (9 choose 3) * (0.25)^3 * (0.75)^6

Using a calculator, we get:

P(X = 3) = 0.1961

Therefore, the probability that Emme answers exactly 3 questions correctly is 0.1961.

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Based on the fact that it is a multiple of 36 and that all the digits are different, the 6-digit number is 492,768.

None of the numbers are to be the same which rules out the numbers:

= 4,2,7 and 8.

The product of the missing figures is a non zero number so 0 cannot be one of the numbers either.

The remaining numbers left that could be the missing figures would be:

= 1, 3, 5, 6, 9

A common trend in all multiples of 36 is that when the last number is 8, the number before it must be an even number. 6 is the only even number there so will then be the second missing number.

This leaves us with:

= 1, 3, 5, and 9

You can then slot these numbers into the missing place and try dividing by 36 to see which is a multiple of 36. Your answer will then be 492,768.

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Answer:

I'm pretty sure the answer is Despite medical warnings, a  (B) high number of Americans still use tobacco.

Step-by-step explanation:

========================================================

Explanation:

All linear functions can be written into the form y = mx+b

m = slope

b = y intercept

Choice D is of that form. In this case, m = 4 and b = -8

Choices A and C involve exponents larger than 1, which is why we don't have linear equations here. If you were to graph these, you'll find they produce nonlinear curves (i.e. curves that aren't straight lines). The same goes for choice B as well. Linear equations cannot have x in the denominator.

Answer:

32x-8y-3

Step-by-step explanation:

4(8x-2y)-3

4 x 8x = 32x

4 x 2y = -8y

Answer:

628

Step-by-step explanation:

Well, if you x's are multiplication signs, then the answer is 628 because

6x100=600, 1x10=10, 7x1=7,  9x1=9, 2x1=2 and then add them all up:

600+10+7+9+2=628

Answer:

628

Step-by-step explanation:

6x100= 600

1x10= 10

7x1= 7

9x1= 9

2x1= 2

600 + 10 = 610

7 + 9 = 16

16 + 2 = 18

610 + 18 = 628

Answer:

bet whats the question

Step-by-step explanation:

The line of best fit for the data is approximately y = -1.07x + 92.87: A) True.

In order to determine a linear equation for the line of best fit that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the latitude would be plotted on the x-axis of the scatter plot while the average temperature would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the latitude and average temperature, a linear equation for the line of best fit is given by:

y = -1.07x + 92.87

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A histogram can be defined as a type of chart that is used to graphically represent a group of data points (statistical information) into user-specified ranges through the use of rectangles or rectangular bars.

Based on the information provided in the histogram (see attachment), the percentage of the individual income tax returns that had an adjusted gross income between $10,000 and $19,999, inclusive is approximately equal to 28%.

From the histogram, the percentage of individual income tax return that had an adjusted gross income less than $30,000 is given by:

Percentage = 38 + 28 + 19

Percentage = 85%.

Lastly, the number of adjusted gross income between $30,000 and $49,999, inclusive is given by:

n = 0.15 × 89,928,000

n = 13,489,200.

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Complete Question:

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in Statistics of Income, and Individual Income Tax Returns. The following relative frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than $50,000.

Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.

a. Approximately what percentage of the individual income tax returns had an adjusted gross income between $10,000 and $19,999, inclusive?

b. Approximately what percentage had an adjusted gross income of less than $30,000?

c. The IRS reported that 89,928,000 individual income tax re-turns had an adjusted gross income of less than $50,000. Approximately how many had an adjusted gross income between $30,000 and $49,999, inclusive?

The graph that exemplifies the function of inequality that is discussed below is attached to this post.

Below, this is further discussed.

Typically, a diagram consisting of a series of one or more points, lines, line segments, curves, or regions is used to depict how one variable fluctuates in relation to one or more other variables. a visual depiction of how one variable changes in relation to one or more other variables.

a list of all the places whose coordinates, when combined, satisfy the specifications for a certain connection (such as a function)

Finally, the graph that demonstrates how inequality functions may be understood as related below. It is listed below.

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Answer:

a. Yes, this is a good statistical question because a variety of answers are given.

Pls mark as brainliest!

Answer:

Step-by-step explanation:

Yes, this is a good statistical question because there are not a variety of answers that could be given.

The dimensions of the box are (S-2x)by(S-2x)byS =  2S/3 by 2S/3 S by S/6 to obtain a box with largest possible volume

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line. A surface, such as the boundary of a cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on it – for example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces.

Let S = length of the sides of the square cardboard sheet.  Let x = the side of each square cut from the corners.  The volume, V, of the box when the sheet is folded up is:

V = (S-2x)(S-2x)x = 4x3 - 4Sx2 + S2x

To find the maximum value, take the derivative of V wrt x, set it to zero, and solve for x:

V ' = dV/dx = 12x2 - 8Sx + S2

0 = 12x2 - 8Sx + S2

0 = (6x-S)(2x-S)

x = S/6 and S/2

To determine which is the max and which is the min, take the second derivative of V wrt x.

V'' = d2V/dx2 = 24x - 8S

At x = S/2, V'' = 24(S/2) - 8s = 4S. Since S>0, the point x=S/2 is a minimum. This makes sense because you have cut away the entire cardboard square.

At x = S/6, V'' = 24(S/6) - 8S = -4S < 0, so x = S/6 is the maximum

The dimensions of the box are (S-2x)by(S-2x)byS =  2S/3 by 2S/3 S by S/6

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Answer: when it heats up the molecules expand and get bigger, then when it gets cold the molecules contract or get smaller and then after it happens so many times it causes cracks.

Step-by-step explanation:

Answer:

4-3x=2(x+9) is the answer

Answer:

52

Step-by-step explanation:

I'm pretty sure the answer is 52.

In Jim and Dave each got 5 and David got 4 then :

65/5 = 13

65 - 13 = 52

or

5 4 5

10 8 10

15 12 15

20 16 20

25 20 25

30 24 30

35 28 35

40 32 40

45 36 45

50 40 50

55 44 55

60 48 60

65 52 65

The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,

Area = (2x-4)(x+5)

       = 2x² + 10x - 4x - 20

       = 2x² +6x - 20

Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

The complete question is:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

The image of the rectangle is given below.

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Answer:

Domain is x ∈ R

Step-by-step explanation:

There weren't any options given, but for f(x) = 2x + 15, the domain is x ∈ R.

This is because the graph is a linear function, which exists for all values of x. You can express this in lots of different ways, but R (all reals) is the conventional way to do it.

In case you don't know what a domain is: it is a set of numbers that the x-values of an equation can fit into.

Example:

f(x) = \(x^{2}\) -> x ∈ R

This is because, if you draw a quadratic graph, you can see that the values of x are neverending.

Hope this helped : )

Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer:

Option B

Step-by-step explanation:

The complete question is

The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical

Solution

After 1 year the salary of delivery boy will be

\(35000 + 35000*0.03\\35000+1050\\36050\)

Salary of delivery boy after 2nd year =

\(36050 + 36050*0.3 = 37131.5\)

Salary after 3rd year

\(37131.5 + (37131.5*0.03) = 38245.45\)

The growth in salary is linear as depicted from the values obtained.

Hence, option B is correct

Answer:

Step-by-step explanation:

800+20%

20%= (20/100)

800/100=8*20=160

add to original price= 800+160=960