Which expression is the simplest form of
Ο A. 2 - 9
OB.
+3
3
O c.
O D. 2-27
3
11x-27
3
3(2x-4)-5(x+3)?
3

Answer:the second one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.

PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.

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The statement that "If  function f '(x) > 0 for 3 < x < 5, then f is increasing on (3, 5)" is determined to be True.

If the derivative of a function f is positive on an interval, it means that the slope of the function is positive on that interval. This, in turn, means that the function is increasing on that interval. Therefore, if f '(x) > 0 for 3 < x < 5, then f is increasing on (3, 5).

The statement is based on the fact that the derivative of a function represents its instantaneous rate of change or slope. When the derivative is positive, the function is increasing, meaning that its output values are getting larger as its input values increase.

Thus, if f '(x) > 0 for 3 < x < 5, it implies that the slope of f is positive on the interval (3, 5), and therefore, f is increasing on that interval.

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The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer:

see the attachment photo!

Answer:

0.0175 is correct answer. Please Mark it as brainlist answer.

As 5/10 are Girls in Class And 1/5 of the girls wear glasses So on overall girls wear glasses is 1/10 in the whole class.

The fraction 5/10 is equal to 1/2 of the total and 1/5 of the girls wear glasses so if you multiply 1/2 and 1/5 you get 1/10, To get a total fraction of girls who wear glasses overall will be by multiplying both the fraction. So,

1/5*1/2 = 1/10

Here the answer is produced by multiplying the numerator with the numerator and similarly denominator with the denominator to get the answer of total friction of girls wearing glasses in the whole class.

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A scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

The type of chart in Excel that plots a point at its Cartesian coordinates using an x-coordinate and a y-coordinate is a Scatter Plot. A scatter plot is a type of graph in which individual data points are represented by dots on a graph. Each data point has two coordinates: the x-coordinate and the y-coordinate, which are used to plot the point on the graph.

In Excel, to create a scatter plot, you need to first select your data, then go to the Insert tab and click on the Scatter chart button. You can then choose the type of scatter plot you want to create. Once the chart is created, you can add data labels to show the x-coordinate and y-coordinate of each data point.

In summary, a scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

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After answering the given query, we can state that As a result, the quadratic equation formula for x2+8x+7=-8 is \(x^2 + 8x + 15 = 0\)

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two mathematical statements is known as an equation in algebra. For instance, the equal symbol separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two lines that are written on opposite sides of a letter. Frequently, the emblem and the particular program are identical. as in 2x - 4 = 2, for example.

the quadratic equation for x^2+8x+7=-8, we first need to change the equation to normal quadratic form, which is ax^2+bx+c=0.

With 8 added to both edges, we obtain:

\(x^2 + 8x + 15 = 0\)

The factors a, b, and c are now clear:

a = 1

b = 8

c = 15

These numbers are substituted into the quadratic formula:

\(x=(-b sqrt(b2 - 4ac)) / 2a\\x = (-8 + \sqrt(8^2 - 4(1)(15))) / 2(1)\\x = (-8 +/- \sqrt(64 - 60)) / 2\\x = (-8 +/- \sqrt(4)) / 2\\x = (-8 + 2) / 2\)

Therefore, the options are:

x = -4 or x = -3

As a result, the quadratic formula for x2+8x+7=-8 is

\(x^2 + 8x + 15 = 0\)

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Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

Relief refers to the highest and lowest point elevation in an area.

Relief

Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.

elevation

The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.

geology

Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.

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Answer: Relief

Step-by-step explanation:

Relief refers to the highest and lowest point elevation in an area.

Slope is the measure of steepness

Topography refers to the arrangement of the land in an area

Elevation on the other hand is the distance above sea level

To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

3²

4³

2³

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

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According to the picture, we can find the length of PX by using the pythagorean theorem, where PX would be the hypotenuse.

The length of PX is 10 cm

Answer:

x+6.3

Step-by-step explanation:

x+6.3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

2,-1+2i,1-2i

Step-by-step explanation:

C

Answer:

19.15 miles/gallon

Step-by-step explanation:

Gasoline used = 8.6 gallons

Distance driven = 164.7 miles

Number of miles per gallon = Distance driven / Gasoline used

= 164.7 miles / 8.6 gallons

= 19.151162790697 miles/gallon

Approximately 19.15 miles/gallon

Number of miles per gallon of gasoline her vehicle gets is 19.15 miles/gallon

Answer:

Step-by-step explanation:

16). The relation is a function.

17). The relation is a function.

Given, Perimeter = 36 metersLet L and W be the length and width of the rectangle respectively.

Now,Perimeter of

rectangle = 2(L+W)36 = 2(L+W)18 = L+W

So, L = 18 - W

Area of the rectangle = LW= (18 - W)W= 18W - W²

Differentiating with respect to W,dA/dW = 18 - 2W

Putting dA/dW = 0,18 - 2W = 0W = 9Therefore, L = 18 - W = 18 - 9 = 9

Hence, the length and width of the rectangle are 9 meters and 9 meters respectively. For the second question, f(x) = x²Given point is (0, 9)The distance of a point (x, x²) from (0, 9) is given by√[(x - 0)² + (x² - 9)²]

Simplifying the above expression, we get√(x⁴ - 18x² + 81)

Now, differentiating with respect to x, we get(d/dx)[√(x⁴ - 18x² + 81)] = 0

After solving the above equation, we getx = ±√6

Hence, the points on the graph of the function that are closest to the given point are (√6, 6) and (-√6, 6).For the third question, let the length, breadth and height of the rectangular solid be L, B and H respectively.

Surface area of the rectangular solid = 2(LB + BH + HL)= 2(LB + BH + HL) = 281.5

Let x = √(281.5/6)

Therefore,LB + BH + HL = x³Thus, LB + BH + HL is minimum when LB = BH = HL (as they are equal)Therefore, L = B = H = x

Thus, the dimensions that will result in a solid with the minimum volume are x, x and x.

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Answer:

0.0637

Step-by-step explanation:

hope this helps :)

6.37 x 10⁻² in the standard form is 0.0637.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

We have an expression,

6.37 x 10⁻².

Simplifying to standard form.

6.37 x 10⁻²,

= 6.37 x 1/100

= 6.37/100

= 0.0637

Therefore, 0.0637 is the standard form.

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Answer:

np>10 and n(1-p)>10

Step-by-step explanation:

The Large Counts Condition for Normality: np ≥ 10 and nq ≥ 10.

The Large Counts Condition, also known as the Large Sample Size Condition, is a requirement that must be met to ensure that the sampling distribution of a sample proportion is approximately normal when sampling from a population. This condition is necessary to apply the normal distribution to the sample proportion for various statistical inferences.

Let's denote the following:

- n: The sample size, i.e., the number of observations in the sample.

- p: The population proportion of the characteristic of interest.

- q: The complementary probability to p, such that q = 1 - p.

The Large Counts Condition for Normality states:

np ≥ 10 and nq ≥ 10

In other words, the product of the sample size (n) and the population proportion (p) must be greater than or equal to 10, and the product of the sample size (n) and the complementary probability (q) must also be greater than or equal to 10.

When both of these conditions are satisfied, the sampling distribution of the sample proportion can be approximated by a normal distribution. This approximation is useful for constructing confidence intervals and performing hypothesis tests related to proportions.

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The numbers are 15 and 9 .

Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real  or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.

Let us consider one of the given numbers be x .

Given the sum of the numbers is 21

therefore the other number = 21 - x

Now it is given that  \(\frac{3}{4}\) of 1 number and \(\frac{2}{3}\) of another number adds up to 15 .

∴ \(\frac{3}{4}\) of x =  \(\frac{3}{4}x\)  and  \(\frac{2}{3}\) of another number =  \(\frac{2}{3}\times(21-x)\)

Now the sum of the two new numbers is given as 15.

∴ \(\frac{2}{3}\times(21-x) +\frac{3}{4}x =15\)

\(or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12\)

So the other number is 21-12 = 9 .

Hence the two numbers are 15 and 9 .

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The inverse of a function is shown in the picture we can calculate by interchanging the value of f(x) and x.

What is the inverse of a function?

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1."

We have,
Functions are shown in the picture.
To find the inverse of a function plug in the place of f(x)→x and x→f(x) ⁻¹
f(x) ⁻¹ = 3(x + 17)/2

Similarly,
f(x) = x - 10
f(x) ⁻¹ = x + 10
f(x) = ∛2x
f(x) ⁻¹ = x³/2
f(x) = x/5
f(x) ⁻¹ = 5x

Hence, the inverse of a function is shown in the picture we can calculate by interchanging the value of f(x) and x.

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The solution of the given system of equations 6x + 2y = 4 , 9x -3 y = 12 is equal to x =1 and y = -1.

As given in the question,

Given system of equations are :

6x + 2y = 4     ____(1)

 9x -3 y = 12   _____(2)

Multiply (1) by 3 and (2) by 2 and add equation (1) and  (2) to eliminate y variable and get the value of variable x ,

18x + 6y = 12

18x - 6y = 24

36x      = 36

⇒x = 36 / 36

⇒ x = 1

Substitute value of x = 1 in the given equation (1) to get the value of variable y,

6(1) + 2y = 4

⇒ 6 + 2y = 4

⇒ 2y = 4 - 6

⇒ y = -1

Therefore, given system of equations 6x + 2y = 4 , 9x -3 y = 12 solution is equal to x = 1 and y = - 1.

The above question is incomplete, the complete question is:

What is the solution of the system of equations 6x + 2y = 4 , 9x -3 y = 12?

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Firstly we will convert the percent R into a decimal value r. For that, we will divide with a hundred,

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n) ^ nt

A = 500.00(1 + 0.06/12) ^ (12 x 10)

A = 500.00(1 + 0.005)^ 120

A = $909.70

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 6% per year compounded 12 times per year over ten years, is $909.70.

I = A - P = $2,000.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

A = 5000(1 + (0.04 × 10)) = 7000

A = $7,000.00

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 4% per year for ten years is $7,000.00.

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Answer:

I believe the answer is IQR

Step-by-step explanation:

Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.

In a Venn probability, two non-independent events are related to each other, as are their probabilities.

The "or probability" is given by:

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\)

In this problem, the events are:

Event A: Brake defect.

Event B: Chain defect.

For the probabilities, we have that:

Substitute all the values in the formula

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03\)

0.03 = 3% probability of a chain defect.

Hence, there is a 0.03 = 3% probability of a chain defect.

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Answer:

D

Step-by-step explanation:

Answer:  So that will be 16

Step-by-step explanation:

9x4 = 36-73 = 16

Answer:

The average wait time for customers arriving in this 3-hour period of time is 1.5 minutes.

Step-by-step explanation:

Since from 6am to 9am customers arrive in droves to Betty's Bakery for her annual, 1 day only, cake sale and during that 3 hour period 1.75 customers enters the Bakery every minute, and Betty and her staff can box cakes and check out customers only at the rate of 70 customers per hour, to determine what is the average waiting time in minutes for the customers who arrive in this 3-hour period of time, the following calculation must be performed:

1.75 x 60 = 105

105/70 = 1.5

Therefore, the average wait time for customers arriving in this 3-hour period of time is 1.5 minutes.