Locating critical points Find the critical points of the following functions. Assume a is a nonzero constant. 23. f(x) = 3x2 – 42 + 2 1 1 24. f(2) 2 25. f(2) 9.c 8 х 23 23 3 23 - 3.13 + 26. f(x) 3.22 + 10 4. 3 3x2 27. f(2) – 2.0 2 4.25 28. f(x) 3.23 +5 5 29. f(x) = 23 – 4a x 30. f(x) = x – 5 tan-?x t 31. f(t) = t2 +1 32. f(x) = 12:05 – 2023 et tei 33. f(x) 2

Answer:

What exactly do you not understand maybe i can help

Step-by-step explanation:

The analysis of variance is a valuable tool for examining potential differences among three or more groups, helping to make informed decisions based on data. It enables researchers to determine if there is a significant factor affecting the outcome or if the observed variations are simply due to chance.

The analysis of variance (ANOVA) procedure is a statistical technique used to test hypotheses about the means of three or more groups. ANOVA compares the variance within each group to the variance between the groups to determine if there is a significant difference in means. This test is commonly used in research studies to determine if a particular treatment or intervention has an effect on the outcome of interest.

In an ANOVA, the null hypothesis assumes that all group means are equal, while the alternative hypothesis suggests that at least one group mean is different from the others. By calculating the F-statistic and comparing it to a critical value, we can determine whether to reject or fail to reject the null hypothesis.

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( ) In the same OSM, all pages must have the same size. - False

( ) In the same OSM, all segments must have the same size. - False

( ) Internal fragmentation is a problem of paging. - True

( ) External fragmentation is a problem of segmentation. - True

( ) Paging and segmentation cannot co-exist in the same OSM - False

In an Operating System Memory (OSM), all pages do not have to have the same size. Pages can have different sizes depending on the system's memory management scheme, such as demand paging or memory segmentation.

Similarly, segments in the same OSM do not have to have the same size. Segmentation allows for variable-sized memory segments based on program requirements.

Internal fragmentation refers to wasted memory within a single memory block due to allocation granularity. It is typically associated with paging, where fixed-size pages can lead to inefficient memory utilization.

External fragmentation refers to unallocated or unusable memory scattered throughout the system. It is more commonly associated with memory segmentation, where varying sizes of memory segments can result in fragmented memory space.

Paging and segmentation can coexist in the same OSM. Many operating systems use a combination of both techniques, known as segmented paging or hybrid memory management, to leverage the advantages of each method and optimize memory allocation.

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Answer:

Step-by-step explanation:

One real root

The nature of the roots of \(\mathbf{49x^2 - 28x + 4 = 0}\) is (a) one real root

The equation is given as:

\(\mathbf{49x^2 - 28x + 4 = 0}\)

To determine the nature of the roots, we make use of determinants.

The determinant (d) of a quadratic equation is calculated

\(\mathbf{d = b^2 - 4ac}\)

Where the quadratic equation is:

\(\mathbf{ax^2 + bx + c = 0}\)

By comparison, we have:

\(\mathbf{a = 49,\ b = -28,\ c = 4}\)

So, we have:

\(\mathbf{d = b^2 - 4ac}\)

\(\mathbf{d = (-28)^2 - 4 \times 49 \times 4}\)

\(\mathbf{d = 784 - 784}\)

\(\mathbf{d = 0}\)

When d = 0, then the function has one real root.

Hence, the nature of the roots of \(\mathbf{49x^2 - 28x + 4 = 0}\) is (a) one real root

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The weighted average of the points in the line is 7.5

The points are given as

3 and 12

The weighted average of the points in the line is calculated as

Weighted average = Sum/Count

So, we have:

Weighted average = (3 + 12)/2

Evaluate

Weighted average = 7.5

Hence, the weighted average of the points in the line is 7.5

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As the number of degrees of freedom become large, the t distribution actually approaches the normal distribution, not

the binomial distribution. The correct answer is false.

The t distribution is used when the sample size is small and the population standard deviation is unknown, while the

binomial distribution is used for discrete data where there are only two possible outcomes.

The binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of

independent trials with a constant probability of success, whereas the t distribution is a continuous probability

distribution that models the variability of sample means from a normal population.

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Answer:

  A. -1.25 ft/hour — the number of feet the pool depth changes in 1 hour

  B. 1 is the depth in feet of the pool when x=0 (at the start of it being filled)

Step-by-step explanation:

In these questions, the pool depth is represented by a linear equation in slope-intercept form. The equation gives depth in feet while the independent variable represents a number of hours.

A slope-intercept equation has the form

  y = mx +b . . . where m is the slope (rate of change) and y is the intercept

The y-intercept (b) is the "initial value," the value of y when x=0.

__

The equation ...

  y = -1.25x +5

represents the depth of water in the Kim family pool. Comparing to the slope-intercept form, we see m = -1.25. That is, the "rate of change" is -1.25. When that value is multiplied by x hours, it gives a result in feet. That is, the units of the rate of change are feet/hour.

  \(\dfrac{\text{feet}}{\text{hour}}\times\text{hours}=\text{feet}\)

The "rate of change" of -1.25 in this context is telling you the depth is decreasing by 1.25 feet every hour as the pool is being drained.

__

The equation ...

  y = 1/2x +1

represents the depth of water in the Gutierrez family pool. Comparing to the slope-intercept form, we see b = 1. This is the initial value of depth, the value when x=0, the pool has been filling for 0 hours. It means the water in the pool is 1 foot deep when the pool starts filling.

Answer: Hence, there are 6 phones and 18 accessories sold.

Since we have given that

Let number of phones sold be 'x'

Let number of accessories sold be 'y'.

Commission for every phone = $12

Commission for every accessory = $3.50

Total commission = $135

And Difference between accessories and phones sold = 12

According to question, we get that

Using both the equations, we get that

x=6 and y = 18

Answer:

1.5

Step-by-step explanation:

3(8 – 4x) < 6(x – 5)?

1

1

-5

WO

+

4

-4

-3

-2

-1

0

1

2

5

+

-1

+

1

+

2

-5

-4

-3

-2

0

3

4

5

-4

-3

+

1

-5

+

2

-1

+

3

-2

0

4

5

-+

-5

+

-1

-3

+

2

-4

-2

0

1

3

4

5

This doesn't make any sense

Answer:

2/21 or 9.52%

Step-by-step explanation:

The first thing is to calculate the total number of pencils.

4 + 6 + 5 = 15

Which means that in total there are 15 pencils.

Now the probability of drawing a red pencil is then:

4/15

Without that red pencil, then we have one less pencil in general, that is, 14, so the probability of drawing a yellow is:

5/14

The final probability would then be:

4/15 * 5/14 = 20/210 = 2/21

Now that equals 0.0952, which means that the probability is 9.52%

Answer:

B. de vez en cuando.

Step-by-step explanation:

Answer:

B. de vez en cuando

Step-by-step explanation:

the literal transalation for "every now and then" in spanish is de vez en cuando.  Plus im am a native spanish speaker ;)

Answer:

m>60

Explanation:

Let the number of miles driven = m

Company A charges $97 and allows unlimited mileage.

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.

When the charge for Company A is less than that of Company B:

We then solve the inequality for m:

Company A will charge less than Company B when the number of miles driven, m is greater than 60.

The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.

To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.

Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.

To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.

Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.

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What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?

Answer:

30: -5, -2, | 2 |, | 3 |, 8

    31: -7, -6, | 5 |, | -6 |, 8

32: -12, | 10 |, | -12 |, | -15 |, | -26 |

    33: -17, | -11 |, | 20 |, 21, | -34 |

Step-by-step explanation:

The absolute value turns a negative function into a positive one.

    Example: | -24 | would become 24

If it is positive, it stays the same.

    Example: | 14 | would simple be 14

The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

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Answer:

1.20 percent

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

If you look closely, you can see the slope line is decreasing which means all the positive slopes are automatically wrong, and second the first point the line intersects with the graph is 6 down which means the answer is -6

Answer:

I think its gon be 24 guests

Answer:

24 people can be there at most :)

Step-by-step explanation:

$32 divided by 16(guests) is $2

so its $2 per person

so 48$ divided by $2 is 24

So Camille can invite 24 people at the cost of 48$ being her total at most :)

Answer:

Step-by-step explanation:

When y =f(-8) the answer is y = -2

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

In order for the RLC oscillating circuit to decay to 1/10th of its initial value of charge in 50 cycles, a certain resistance (R) needs to be connected in series with a 200-mH inductor and a capacitor.

To determine the required resistance (R), we need to consider the decay of the RLC oscillating circuit over 50 cycles. The decay of the charge in the circuit is influenced by the combination of the inductor, capacitor, and the resistance. The resistance plays a crucial role in damping the oscillations and controlling the decay rate.

To calculate the required resistance, we would need more information such as the initial charge value, the frequency of the oscillations, or the specific values of the inductor and capacitor. Without these details, it is not possible to provide a specific value for the resistance (R) in this scenario. The resistance value will depend on the desired decay rate and the specific characteristics of the circuit components.

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The question asks to find the derivative of the given function using the Product Rule. The function is f(x) = x^6 * y, where y = x^x.

To find the derivative of the function f(x) = x^6 * y, we can use the Product Rule. The Product Rule states that if we have two functions u(x) and v(x), the derivative of their product is given by the formula (u * v)' = u' * v + u * v', where u' and v' represent the derivatives of u(x) and v(x), respectively.

In this case, u(x) = x^6 and v(x) = y = x^x. To find the derivative of v(x), we can use the chain rule, which states that the derivative of x^x is (x^x) * (ln(x) + 1). Therefore, the derivative of v(x) is v'(x) = x^x * (ln(x) + 1).

Now, we can apply the Product Rule to find the derivative of f(x). Using the formula (u * v)' = u' * v + u * v', we have:

f'(x) = (x^6)' * (x^x) + x^6 * (x^x * (ln(x) + 1))

Taking the derivative of x^6 gives us (x^6)' = 6x^5. Substituting this into the equation, we get:

f'(x) = 6x^5 * x^x + x^6 * (x^x * (ln(x) + 1))

Simplifying further, we have:

f'(x) = 6x^5 * x^x + x^6 * x^x * (ln(x) + 1)

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Answer:

-12.5333333333

Step-by-step explanation:

her3e

Answer:

6.9

Step-by-step explanation:

The total payment was 44.35 and Ella bought 6 bags of apples and eggs

eggs cost 2.95 so apples cost 44.35-2.95=41.4

lets call bags "x"

so

6x=41.4 (price)

divide both by 6

x=6.9

The velocity of the ball thrown by your friend is approximately 4.17 meters per second.

To ascertain the speed of the ball, we want to utilize the condition of movement that relates distance, time, and speed increase. For this situation, we expect that the ball goes in an orderly fashion, and its speed increase is because of the power applied by your companion's toss. We can utilize the recipe:

distance = speed x time

We realize that the distance among you and your companion is 5 meters, and the time taken for the ball to travel that distance is 1.2 seconds. Hence, we can revise the equation to tackle for the speed:

speed = distance/time

Subbing the qualities, we get:

speed = 5/1.2 = 4.17 meters each second (approx.)

So the speed of the ball tossed by your companion is around 4.17 meters each second.

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Answer:

294 cars

Step-by-step explanation:

hope this helpt touch thanks it my birth day

Answer:

473

Step-by-step explanation:

typed into calculator.

Answer:

473

Step-by-step explanation:

first u divide 860 by 100

which equals to 8.6

next u multiply 8.6 by 55 to get 473

hope this helps!!

\(6x - a = c\)

\(6x = c + a\)

\(x = \frac{c + a}{6} \)

\(\\ \sf\longmapsto 6x-a=c\)

\(\\ \sf\longmapsto 6x=a+c\)

\(\\ \sf\longmapsto x=\dfrac{a+c}{6}\)

On average it take each team member to run 100 meters is 11.9125 seconds.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, Chris, Kiona, Seiko, and Dwayne each run 100 meters in a relay dod race.

Chris runs his part of the race in 12.35 seconds, Kiona takes 13.12 seconds, and Seiko takes 11.91 seconds.

a) The team wants to break the school record of 48.92 seconds.

Time taken by Dwayne = 48.92-(12.35+13.12+11.91)

= 48.92-37.38

= 11.54 seconds

So, Dwayne has taken 11.54 seconds

b) The team sets a new record of 47.65 seconds for the relay race.

Here, speed = 400/47.65

= 8.4 meter per second

So on average, 8.4 meter per second the team members run per second

c) Average = 47.65/4

= 11.9125 seconds

So, on average, the team members run 11.9125 seconds

Therefore, on average it take each team member to run 100 meters is 11.9125 seconds.

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Answer:

The first one will be 16.9

The second one will be

\(8 \sqrt{2} \)

Step-by-step explanation:

Hope this Helped