Select the correct location on the number line,
Plot on the number line.

Answer:

The second option, x^4 - 8x^2 - 16.

Step-by-step explanation:

Polynomials in standard form start with the highest degree, from greatest to least exponent. After all terms with exponents are in order, alphabetical variables are next. In this case there's only x. Last are constant terms, which are by itself, with no variable next to it/an exponent to the right of it.

x^4 - 8x^2 - 16 is in standard form because it follows the criteria above. 4 is the highest degree since it's the highest exponent in the polynomial expression, which is why it starts off with x^4. Other terms with lesser exponents are next. In this case, it's 8x^2 with the less exponent of 2. Finally, it ends with your constant term, -16.

Answer:

D. None of the above

Step-by-step explanation:

The standard form means that the degrees go in a descending order but none of the above follow that.

Answer: The correct answer is D the range of the graph is all real numbers greater than or equal to 0.

Step-by-step explanation

Range [0,infinity] {y|y greater than or equal to 0}

Answer:

D

Step-by-step explanation:

The main condition for a setting to be considered binomial is that the probability of success remains the same for each trial, and the other conditions include having 3 possible outcomes for each observation, no variation in outcomes based on the first success, and independence of trials from one another.

A condition for a setting to be considered binomial is that the probability of success is the same for each trial.

In order for a setting to be considered binomial, there are certain conditions that need to be met. The first condition is that the probability of success remains constant for each trial or observation. This means that the likelihood of achieving the desired outcome remains unchanged throughout the entire process.

The second condition states that each observation or trial must have exactly 3 possible outcomes. This implies that there are only three options or choices for each trial, typically categorized as success, failure, or a neutral outcome.

The third condition is that the number of outcomes should not vary based on the occurrence of the first success. This means that the probability of success is not affected or altered by the outcome of previous trials.

Lastly, the fourth condition is that the trials or observations must be independent of one another. This implies that the outcome of one trial should not impact the outcome of subsequent trials.

Therefore, the main condition for a setting to be considered binomial is that the probability of success remains the same for each trial, and the other conditions include having 3 possible outcomes for each observation, no variation in outcomes based on the first success, and independence of trials from one another.

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For f(x) = x² - 4x + 2, the following can be found:

(A) f'(x) (derivative of f(x) with respect to x)
f(x) = x² - 4x + 2
f'(x) = d/dx (x² - 4x + 2) = 2x - 4
f'(x) = 2x - 4

(B) The slope of the graph of f at x=1
Substitute x = 1 in f'(x)
f'(1) = 2(1) - 4 = -2
The slope of the graph of f at x = 1 is -2.

(C) The equation of the tangent line at x = 1
The slope of the tangent line at x = 1 is -2, and the point (1, f(1)) is on the line. Therefore, the equation of the tangent line at x = 1 is given by:

y - f(1) = m(x - 1)
y - (1² - 4(1) + 2) = -2(x - 1)
y + 1 = -2x + 2
y = -2x + 1

(D) The value(s) of x where the tangent line is horizontal
For the tangent line to be horizontal, its slope must be zero. Therefore, we solve for x in the equation:

2x - 4 = 0
2x = 4
x = 2

The tangent line is horizontal at x = 2.

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Answer:

False

Step-by-step explanation:

If angle 2 and angle 5 are equal in length, then what we have is that the two lines are not parallel

For the two lines to be parallel, these two angles should be supplementary

what this mean is that these two angles should add up to give 180 degrees

Answer:

d) 16.7%

Step-by-step explanation:

Answer:

D, 16.7%

Hope that helps (:

Answer:

31

Step-by-step explanation:

5×6=30+1=31.USE PLEASE EXCUSE MY DEAR AUNT SALLY

Answer:

Yes, it is 24%

Step-by-step explanation:

Answer:

Caleb's actual height is 48 inches

Step-by-step explanation:

Alison's height in the photograph= 4 cm

Caleb's height in the photograph= 3.2 cm

Alison's actual height= 60 in

Caleb's actual height=x in

60 in= 152.4 cm

Alison's height in photograph : Her actual height = Caleb's height in photograph : his actual height

4cm : 152.4cm = 3.2cm : xcm

4 / 152.4 = 3.2 / x

Cross product

4 * x = 152.4 * 3.2

4x = 487.68

Divide both sides by 4

x= 121.92 cm

121.92 cm = 48 in

Caleb's actual height is 48 in

Answer:

lazy man you have to do your self if you try yourself then you will learn how to do

Answer:

5.4372 x 10 to the 5th power

Step-by-step explanation:

Answer:

\(5.4372*10^{13}\)

Step-by-step explanation:

The volume of the cube would be 5y√x cm^3.

A cube is a square shape, so both sides ( length and width) of a face would be the same.

Supposing that the considered cube has side length (also called edge length) of L units.

Then, its one side's area equals  L^2 sq. units (as each side is a square, so we used formula for area of a square).

We have to Find the length of the side by finding the square root of the area of the face:

Area = 75xy^2

Length = √75xy^2 =  y √5 x 5 x 3 x cm.

Volume is Length x Width X height.

Volume = 5y√x cm^3

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The percent increase in the interstate highway system from 1960 to now is 381%.

option A.

The percent increase from 16,000 km to 77,000 km is difference between the old value and new value divided by the old value expressed in 100%.

percent increase =  100% x (new value - old value) / old value

percent increase = 100% x  (77,000 - 16,000) / 16,000

percent increase = 100% x 61,000 / 16,000

percent increase = 381.25%

Thus, the percent increase in the interstate highway system from 1960 to now is approximately 381%, which is option A.

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Answer: Circle

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

The value of x for the given equation is -20 .

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

(5/3)x+(1/3)x=13(1/3)+(8/3)x

Solve equation, to find the value of x,

(5/3+1/3)x=13(1/3)+(8/3)x

-13(1/3)=(8/3)x-(5/3+1/3)x

-40/3=(8/3-2)x

1.(-40/3)=1.(2/3)x

-20=x

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Answer:

Step-by-step explanation: bey said yass

So it’s 89

The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

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Answer:

x : __ - 2 __ -1 ___0 ___ 1 ___ 2 ___ 3

y: ___ 5___ 2___ 1 ___ 2____5 ___ - 3

Step-by-step explanation:

Table of values for part A

Equation : y = x² + 1

x : __ - 2 __ -1 ___0 ___ 1 ___ 2 ___ 3

y: ____ ___ ___ 1 __ ___5 __ - 3

Substitute the value of x to obtain the missing values _

x = - 2

y = (-2)² + 1 = 4 + 1 = 5

x = - 1

y = (-1)² + 1 = 1 + 1 = 2

x = 1

y = (1)² + 1 = 1 + 1 = 2

The area of the paper remains  is 238.14 cm².

Area is the region bounded by a plane shape.

To calculate the area of the paper that remains, we use the formula below.

Formula:

Where:

From the diagram in the question,

Given:

Substitute these values into equation 1

Hence, the area  is 238.14 cm².

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To calculate the amount of coal consumed during a 24-hour period, we need to use the given net power and thermal efficiency of the power plant.

a) The net power produced by the coal-fired steam power plant is 300 MW. The thermal efficiency of the power plant is given as 32 percent. To calculate the amount of coal consumed, we can use the formula:

Amount of coal consumed = (Net Power / Thermal Efficiency) / Calorific Value of Coal

First, convert the thermal efficiency from a percentage to a decimal by dividing it by 100:
Thermal Efficiency = 32/100 = 0.32

Next, substitute the values into the formula:
Amount of coal consumed = (300 MW / 0.32) / 28000 kJ/kg

Simplifying the equation, we have:
Amount of coal consumed = 937.5 kg/s

To calculate the amount of coal consumed during a 24-hour period, we need to multiply this by the number of seconds in 24 hours:
Amount of coal consumed in 24 hours = 937.5 kg/s * 24 hours * 3600 seconds/hour

b) To calculate the mass of air entering the boiler per unit time, we need to use the given mass air-fuel ratio.

The mass air-fuel ratio is given as 12 kg air/kg fuel. This means that for every kilogram of fuel consumed, 12 kilograms of air are required.

Since we have already calculated the amount of coal consumed in part (a), we can use this value to find the mass of air entering the boiler per unit time.

Mass of air entering the boiler per unit time = Mass of coal consumed per unit time * Mass air-fuel ratio

Substituting the values, we have:
Mass of air entering the boiler per unit time = 937.5 kg/s * 12 kg air/kg fuel

Simplifying the equation, we have:
Mass of air entering the boiler per unit time = 11250 kg/s

Therefore, the amount of coal consumed during a 24-hour period is 937.5 kg/s  and the mass of air entering the boiler per unit time is 11250 kg/s.

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Answer:

1) 2 and 4

2) 3 and 4

3) 7 and 8

4) 9 and 10

5) 21 and 22

Step-by-step explanation:

#1

Since √(8) = √(2×4) = 2√2

then the √(8) lies between 2 & 3

#2

Since √(9) = 3 & √(16)= 4

then √(14) lies between 3 & 4

#3

√(60) = √(4×15) = 2√(15)

  since √16 = 4 and 4 × 2 = 8

  then 2√(15) < 8

∴ the √16 lies between 7 & 8

#4

√99 = √(9×11) = 3√11

√11 lies between √9 & √16 but closer to √9

   & 3 × √16 = 12

the 3√11 = √99  likely lies between 9 & 10

#5

√444 = √(4×111)= 2√111

since √100 = 10 & √121 = 11

& 2×10= 20 & 2×11= 22

then 2√111 is likely between 21 & 22

The complete table shown is expressed as;

x    y

2   0.6

5    1.5

8    2.4

Equations are represented using values in tables.

From the given table, determine the scale factor

Scale factor = 0.6/2

Scale factor = 0.3

Determine the x-coordinates

x2 = 1.5/0.3

x2 = 5

x3 = 5 + 3

x3 = 8

for y3

y3/0.3 = 8

y3 = 0.3*8

y3 = 2.4

Hence the complete table shown is expressed as;

x    y

2   0.6

5    1.5

8    2.4

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Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer:

17.2 cm

Step-by-step explanation:

Answer:30

Step-by-step explanation:

40% of 50 is 20. 50 students minus 20 boys equals 30 girls.

In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as

p(x) = a x ³ + b x ² + c x + d

We're told the leading coefficient is a = 1, so

p(x) = x ³ + b x ² + c x + d

Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.

Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:

p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)

Now just expand this to get

p(x) = x ³ - 3 x ² - 23 x - 35

The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.

- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.

In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.

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Answer:

912-12r+11

don't worry