Which of the following leading terms would make the expression a perfect square trinomial?
____ −140xy+100y2

A) 49x^2
B) 25x^2
C) 81x^2
D) 64x^2

Answer:

100 but I am not sure I guess it's 100

Answer:

15

Step-by-step explanation:if you make the donminater  the same on all three equations you get 15 and 6 is drinking water so minus 6 that 9 2/5 are resting by a nearby pond so minus 6 and 1/3 i grazing the forest so minus 3 and you get zero so the answer is 15

Answer:

A syllogism is a chain of three statements.

Explanation:

A syllogism is a basic form of reasoning consisting of three statements. The first two statements are the premises, the third statement is the conclusion. Here is a first example, showing the way we are going to write syllogisms in these notes.

Answer:

24

Step-by-step explanation:

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Answer:

x = 21

General Formulas and Concepts:

Geometry

Step-by-step explanation:

Step 1: Identify

We see that the measures given are Corresponding Angles

Step 2: Solve for x

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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Answer:

12:35

Step-by-step explanation:

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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Answer:

The correct answer is (9,7)

Point (9,7) is the solution to the system of inequalities. which is the correct answer would be an option (D).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The system of inequality expression is given as:

-2x + 3y > 1  and - 5x + 6y < 1

We have to determine point is a solution to the following system of inequalities.

To determine the solutions, we have to graph both of the lines in the problem.

Here is the point (9,7) under the region of inequalities which is represented in the attached graph.

Therefore, point (9,7) is the solution to the system of inequalities.

Hence, the correct answer would be an option (D).

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The sampling method described in the scenario is convenience sampling.

Convenience sampling is a non-probability sampling technique where individuals are selected based on their convenience or accessibility to the researcher.

In this case, the sample is chosen by asking the researcher's 40 closest friends, which implies that the selection is based on the convenience and availability of those individuals rather than a random or systematic approach.

Convenience sampling is often used in situations where it is difficult or impractical to obtain a representative sample from the population of interest. It is commonly seen in informal surveys, pilot studies, or situations where the researcher has limited resources or time constraints.

While convenience sampling can be quick and easy to implement, it is important to note that it introduces potential biases into the sample.

The sample obtained through convenience sampling may not accurately represent the larger population, as it relies on the availability and willingness of individuals to participate.

This can result in a sample that is not truly representative and may lead to biased or misleading conclusions.

Therefore, it is crucial to interpret the results of studies based on convenience sampling with caution, as they may not generalize well to the broader population.

For more accurate and reliable results, researchers often opt for probability sampling methods, such as simple random sampling or stratified sampling, which provide a higher level of representativeness and reduce the potential for bias.

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Answer:

X = 90 , Y = 37 and Z = 53 Degrees.

Step-by-step explanation:

Z = 53 as opposite angles of a parallelogram are equal

Therefore, Z + Y + 90 = 180 ( Angle sum Property of a triangle)

= 53 + Y + 90 = 180
Y = 180 - 143
Y = 37

Now to find x , we know Y is the Alternate Interior angle of the angle adjacent to the 90*

Keeping that angle as "o"

Angle O = Angle Y by Alternate Interior Angle Therom

Therefore , Angle X + Angle O + 53 = 180 (ASP of triangle)

Angle X + 37 + 53 = 180

Angle X = 180 - 90
Angle X = 90*


In summary , X = 90 , Y = 37 and Z = 53.

Hope it helps.

Answer:

look at the step by step explanation

Step-by-step explanation:

hey! keep calm okay? i got u.

Okay so for a pack of 12 confetti eggs, you pay $2.88. to find the unit price, or price for 1 egg, you just take 2.88 divided by 12 (which i already did) and you get 0.24. so the price for 1 confetti egg is $0.24 or 24 cents.

James reads 520 words in 2 minutes. Luke reads 960 words in 5 minutes. All we need to find out is how many words can they read in 1 minute? All ewe do is take 520 divided by 2, and you get 260. Then you take 960 divided by 5, and you get 192. so the rates they read at is 260 wpm and 192 wpm.

A shipping and handling fee is 35.00 right? so what you want to find is “35.00 is what percent of 437.50?” and if you think about it and go through it, 35 is 8% of 437.50. so 8% of the total is the shipping and handling fee!

good luck! i hope this helped!

Answer:

a=h/5

Step-by-step explanation:

h=5a

divide both sides by 5

a=h/5

Answer:

Step-by-step explanation:

5a = h

a = h/5

Answer:The square root of 9x squared is 3x

Step-by-step explanation:

the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).

To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:

For the x-bar chart:

Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar

Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar

For the R chart:

Upper Control Limit (UCL) for R = D4 * R-bar

Lower Control Limit (LCL) for R = D3 * R-bar

Where:

x-double-bar = Overall mean of the sample means

R-bar = Overall mean of the sample ranges

A2 = Constant from the control chart constants table

D4 = Constant from the control chart constants table

D3 = Constant from the control chart constants table

For sample sizes of 4, the control chart constants are as follows:

A2 = 0.729

D4 = 2.281

D3 = 0

Given the information you provided:

Overall mean (x-double-bar) = 10.4 minutes

Average range (R-bar) = 0.9 minutes

Let's calculate the control limits:

For the x-bar chart:

UCL for x-bar = 10.4 + 0.729 * 0.9

             = 10.4 + 0.6561

             = 11.0561 minutes

LCL for x-bar = 10.4 - 0.729 * 0.9

             = 10.4 - 0.6561

             = 9.7439 minutes

For the R chart:

UCL for R = 2.281 * 0.9

         = 2.0529 minutes

LCL for R = 0

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Answer:

128 ounces equals exactly one gallon

Step-by-step explanation:

16 cups is 128 ounces

8 cups is 64 ounces or half a gallon

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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For given linear equations, The point of intersection is (1,3).

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

After drawing given linear lines Y=2x+1, Y=4x-1 on graph we can see from the graph that the point of intersection is (1,3).

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Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

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Given:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

To find:

The number of remaining pieces after 23 days.

Solution:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.

The number of remaining pieces decreasing by \(\dfrac{1}{4}\).

Formula for number of remaining pieces is

\(y=a_0(1-r)^t\)

where, \(a_0\) is the initial value, r is decreasing rate and t is time.

Putting \(a_0=800,r=\dfrac{1}{4}\) and t=4, we get

\(y=800(1-\dfrac{1}{4})^4\)

\(y=800(\dfrac{3}{4})^4\)

\(y=800(0.75)^4\)

\(y=800(0.31640625 )\)

\(y=253.125\)

Approximate the value to the nearest whole number.

\(y\approx 253\)

Therefore, the number of remaining  pieces is 253.

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Total people allowed on the bus: 62 + 18 = 80 people

Number of people on the bus:

54 + 7 = 61

Number of people that can get on the bus:

80 - 61 = 19

17 is less than 19 so yes all 17 can get on the bus

oe which question are you figure it out