The graph of the function f(x)=-(x+6)(x+2) is shown below. What statement about the function is true ?

A.) the function is increasing for all real values of x
x < -4.
B.) the function is increasing for all real values of x where
-6 < x < -2.
C.) the function is decreasing for all real values of x where
x < -6 and where x > -2.
D.) the function is decreasing for all real values of x where
x < -4.

The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Answer:

The 2nd one is no symmetry the 1st one is (reflection) last one rotational only

Step-by-step explanation:

The mean and standard deviation of the data sets are;

a. 60.83, 15.11

b. 44, 4.03

c. 7.2, 3.7

d. 114.4, 10.74

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The mean of a data is the average of the data across the points.

a. data set; 35, 50, 60, 75, 65, 80

mean = 60.83

standard deviation = 15.11

b. data set; 51, 48, 47, 46, 45, 43, 41, 40, 40, 39

mean = 44

standard deviation = 4.03

c. data set; 11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7

mean = 7.2

standard deviation = 3.7

d. data set; 135, 115, 120, 110, 110, 100, 105, 110, 125

mean = 114.4

standard deviation = 10.74

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Answer:

Yes it is possible

Step-by-step explanation:

let a = 10.3, b =5.8 , c= 4.6

a+b= 16.1>4.6=c

b+c=5.8+4.6=10.3>10.3=a

c+a=4.6+10.3=14.7>5.8=b.

To find the limit of lim xy/√x^2 + y^2 (x,y) → (0,0), we can use polar coordinates. the limit is: lim xy/√(x^2 + y^2) as (x,y) → (0,0) = 0

Let x = rcosθ and y = rsinθ. Then, the limit becomes lim (rcosθ)(rsinθ)/√(rcosθ)^2 + (rsinθ)^2 as r approaches 0. Simplifying, we get lim rcosθsinθ/√r^2(cos^2θ + sin^2θ) as r approaches 0. Canceling out the r, we get lim cosθsinθ/√(cos^2θ + sin^2θ) as r approaches 0. Since cosθsinθ is less than or equal to 1, the limit must exist and equal 0.

Therefore, the limit of lim xy/√x^2 + y^2 (x,y) → (0,0) is 0.

To find the limit of lim xy/√(x^2 + y^2) as (x,y) → (0,0), you can use polar coordinates to transform the expression. Let x = rcosθ and y = rsinθ. Then, the given expression becomes:

(r*cosθ * r*sinθ) / √(r^2*cos^2θ + r^2*sin^2θ) = r^2*sinθ*cosθ / (r*√(cos^2θ + sin^2θ))

Simplifying the expression, we get:

r*sinθ*cosθ

Now, as (x,y) → (0,0), r → 0. The limit we are looking for is:

lim r*sinθ*cosθ as r → 0

Since sinθ and cosθ are bounded between -1 and 1, the product r*sinθ*cosθ will also approach 0 as r approaches 0.

Therefore, the limit is:

lim xy/√(x^2 + y^2) as (x,y) → (0,0) = 0

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Answer:

-4m

Step-by-step explanation:

=11m-7m-(2m+6m)

=11m-7m-8m

=-4m

plz mark me as brainliest

Answer:

-4m

Step-by-step explanation:

Hey!

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

First, We should remove the Parentheses.

To remove them, we distribute the negative over (2m + 6m).

⇒ 11m - 7m - (2m + 6m)

⇒ 11m - 7m - 2m - 6m

Work the Problem from Left to Right.

⇒ 4m - 2m - 6m

⇒ 2m - 6m

⇒ -4m

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

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

The defining feature of an experiment are manipulation, control , random assignment, and random selection.

Experiment:

Basically, any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space or experiment.

Given,

Here we have to identify the defining feature of the experiment.

While we looking into the given question, the true experiments have four elements: manipulation, control , random assignment, and random selection.

And the most important of these elements are manipulation and control. Where Manipulation means that something is purposefully changed by the researcher in the environment.

Therefore, the key defining feature of an experiment is that it there is active manipulation of independent variables and monitoring of dependent variables.

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The required perimeter of the door on the scale drawing is 4 cm, which is option A.

Perimeter is the measure of the figure on its circumference.

Here,
To find the perimeter of the door on the scale drawing, we need to first find the dimensions of the door on the scale drawing. We can use the scale 2:8 to convert the actual dimensions of the door to the corresponding dimensions on the scale drawing:

Height on scale drawing = (2/8) x 5 cm = 1.25 cm

Width on scale drawing = (2/8) x 3 cm = 0.75 cm

The perimeter on the scale drawing = 2 x (height on scale drawing + width on scale drawing)

Perimeter on scale drawing = 2 x (1.25 cm + 0.75 cm)

Perimeter on scale drawing = 2 x 2 cm

The perimeter on the scale drawing = 4 cm

Therefore, the perimeter of the door on the scale drawing is 4 cm, which is option A.

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The factor of the function will be (x - 1), (x - 2), and (x + 2). Then the roots of the function will be 1, 2, and negative 2.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = 4x³ - 4x² - 16x + 16

Then the factor of the function will be

f(x) = 4x²(x - 1) - 16(x - 1)

f(x) = 4(x - 1) (x² - 4)

f(x) = 4(x - 1) (x² - 2²)

f(x) = 4(x - 1)(x - 2)(x + 2)

Then the roots of the function will be

x = 1, 2, -2

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Let's plug in x = 2.

f(x) = x^2

f(2) = 2^2 ... replace every x with 2

f(2) = 4

----------

Now plug in x = 3.

f(x) = x^2

f(3) = 3^2 ... replace every x with 3

f(3) = 9

-----------

And x = 5 as well.

f(x) = x^2

f(5) = 5^2 .... replace every x with 5

f(5) = 25

-----------

We see that

f(2)+f(3) = 4+9 = 13

which is not equal to f(5) = 25.

So f(2)+f(3) = f(5) is false.

------------

Another way to phrase why it doesn't work is because (2,3,5) isn't a pythagorean triple. The equation 2^2+3^2 = 5^2 is false.

If it said f(3)+f(4) = f(5), then it would be correct because 3^2+4^2 = 5^2 is a true equation.

Answer:

The answer is m<1 = 106 degrees

Step-by-step explanation:

The two angles are supplementary

180-74=106

hope this helps!

If 73% of the students surveyed said their favorite color was purple,  1,000 students were surveyed in total.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let the total number of persons surveyed be x. However, the question tells us that 350 respondents, or 35% of this x, make up the total.

Hence, mathematically, we have;

73% of x = 219

(73/100) × x = 219

73x = 100×219

73x = 219,000

x = 219,000/219

x = 1,000 students

Thus, if 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.

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Answer:

b = -10

c = 25

Step-by-step explanation:

Since the only solution to x is 5 that mean answer will look something like this:

(x-5) (x-5) = 0

x(x-5) -5(x-5)

x^2 -5x -5x + 25

x^2 -10x + 25

This is same as x^2 + bx + c = 0

where b is -10 and c is 25

Answer:

the answer is the 2nd and 3rd option

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The square root of -8 + 8i√3 have

√2(-4 + 4i√3)

or

√4(-2 + 2i√3)

Options A and D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The square root of -8 + 8i√3

This means,

= √(-8 + 8i√3)

= √2(-4 + 4i√3)

or

= √4(-2 + 2i√3)

Thus,

The square root of -8 + 8i√3 have

√2(-4 + 4i√3)

or

√4(-2 + 2i√3)

Options A and D is the correct answer.

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the width of the river is approximately 64.03 feet.

To determine the width of the river, we can use the concept of triangle similarity.

Let's assume that the river width is represented by the variable "x".

From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 200^2 = (200 + 110)^2

Simplifying the equation:

x^2 + 40000 = 44100

x^2 = 44100 - 40000

x^2 = 4100

Taking the square root of both sides:

x = sqrt(4100)

x ≈ 64.03 feet

Therefore, the width of the river is approximately 64.03 feet.

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Answer:

k < 9/8

Step-by-step explanation:

let me know if you want an explanation :))

5 sin(ωt) + 5 cos(ωt + 30°) + 5 cos(ωt + 150°) can be reduced to the form Vm cos(ωt - θ) where Vm = 5/2√(13) and θ = arctan(2√3) - π/4.

We can use the trigonometric identity cos(a+b) = cos(a)cos(b) - sin(a)sin(b) to simplify the expression:

5 sin(ωt) + 5 cos(ωt + 30°) + 5 cos(ωt + 150°)

= 5 sin(ωt) + 5 (cos(ωt)cos(30°) - sin(ωt)sin(30°)) + 5 (cos(ωt)cos(150°) - sin(ωt)sin(150°))

= 5 sin(ωt) + (5/2)cos(ωt) - (5/2)√3 sin(ωt) + (5/2)(-√3)cos(ωt) - (5/2)sin(ωt)

= [(5/2)cos(ωt) - (5/2)sin(ωt)] - [(5/2)√3 sin(ωt) + (5/2)√3 cos(ωt)]

= Vm cos(ωt - θ)

where Vm = 5/2√(13) and θ = arctan(2√3) - π/4.

Therefore, 5 sin(ωt) + 5 cos(ωt + 30°) + 5 cos(ωt + 150°) can be reduced to the form Vm cos(ωt - θ) where Vm = 5/2√(13) and θ = arctan(2√3) - π/4.

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The expression 83−7.5t represent C. the volume of water left after t hours.

From the information, each hour, 7.5 liters drain from a large water tank and thee tank initially held 83 liters of water.

Therefore, the expression 83−7.5t represent the volume of water left after t hours.

In conclusion, the correct option is C.

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And.......what........

the height of six glasses (24 / 6 = 4). Finally, we can multiply this by six to get the final answer, which is 30 cm.

30 cm

For two glasses, the height is 18 cm.

For eight glasses, the height is 42 cm.

Therefore, for six glasses, the height would be (42 - 18) / (8 - 2) * 6 = 30 cm.

To answer the question, we need to first determine the height of two glasses, which is 18 cm. Next, we need to find the height of eight glasses, which is 42 cm. Once we have these two values, we can calculate the height of six glasses. We can do this by finding the difference between the two heights (42 - 18 = 24), which will give us the height of six glasses (24 / 6 = 4). Finally, we can multiply this by six to get the final answer, which is 30 cm.

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The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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The required explanation for log of base 10 is described.

The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.

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Answer:

the mystery angle is 137

Step-by-step explanation:

45+60=105

180-105=75

37

137

180-137

43

180-43=137

the mystery angle is 137

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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Looking at figure A, we have a prism with a triangular base that looks like a right triangle.

Since the prism has a right triangular base, the base shape is a right triangle (shape 5).

Looking at figure B, we have a prism with a pentagonal base.

Since the prism has a pentagonal base, the base shape is a pentagon (shape 1).

Looking at figure C, we have a prism with a triangular base that looks like an equilateral triangle.

Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).

Looking at figure D, we have a prism with a triangular base that looks like an equilateral triangle.

Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).

If two water tanks are 50 inches tall and tank a is empty and for each minute the water increases by 3.7 inches and tank b is draining and the water decreases by 1.9 inches each minute, then the minutes after which the height of the water in each tank is the same is equal to 9.

The time in minutes after which the height of the water in each tank is the same can be determined by using a linear equation.

The equation for this problem can be given as,

0 + 3.7(x) = 50 - 1.9(x)

Here x is equal to minutes. To find the minutes after which the water level will be the same can be determined by calculating the value of x in this linear equation.

3.7(x) + 1.9(x) - 50 = 0

5.6(x) = 50

x = 50 / 5.6

x = 8.92 ≈ 9

Hence, the height of the water in tank a and tank b is equal after 9 minutes.

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Answer:

The answer is 60,000 Centigram

Answer:

60,000 centigrams

Answer:

1st Decimal Place : 63.85

2nd Decimal Place :  63.8

Step-by-step explanation:

Hope this helps!!! :))

The margin of error for the 95% confidence interval is given as follows:

M = $321.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 86 - 1 = 85 df, is t = 1.9883.

The parameters are given as follows:

\(\overline{x} = 3600, s = 1500, n = 86\)

Hence the margin of error is obtained as follows:

\(M = t\frac{s}{\sqrt{n}}\)

\(M = 1.9833 \times \frac{1500}{\sqrt{86}}\)

M = $321.

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