PLSSSSSSSSSSSSSSSS HELP I WILL MARK YOU BRAINLYEST

When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

Using the Central Limit Theorem, it is found that the correct option is:

The Central Limit Theorem states that taking a sample of size n for a population of mean \(\mu\), the sample means are going to be close to \(\mu\).

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

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Answer:

its b

Step-by-step explanation:

on usatp

The answer would be 115

Step-by-step explanation:

Answer:x= -47

Step-by-step explanation:

-14x-45=613

-14x = 658

x = -47

Answer:

x= -47 i'm sure i did it right but tripple check it for me

Step-by-step explanation:

add 45 to both sides

divide both sides by -14

x= -47

Point 1 = (x1,y1)=(8,-1)

Point 2= (x2,y2)= (-8,5)

We have to apply the slope formula:

Replace with the coordinates given:

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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For a given sample proportion of 0.5, the sample size that will produce the widest confidence interval is the largest option given, which in this case is 80.

The sample size that will produce the widest 95% confidence interval, given a sample proportion of 0.5, is option b, 80. This is because the width of the confidence interval is directly proportional to the sample size, meaning that as the sample size increases, the confidence interval becomes narrower.

Additionally, the width of the confidence interval is inversely proportional to the square root of the sample size. Therefore, for a given sample proportion of 0.5, the sample size that will produce the widest confidence interval is the largest option given, which in this case is 80.

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A circle can be defined as a geometric shape consisting of all points in a plane that are equidistant from a given point, which is known as the center. The distance between the center of the circle and any point on the circle is referred to as the radius.

In order to find the center and radius of a circle, we need to have three points on the circle's circumference, and then we can use algebraic formulas to solve for the center and radius. Let's look at the given problem to find the center and radius of the circle that passes through the points (-1,5), (5,-3), and (6,4).

Center of the circle can be determined using the formula:

(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)

Let's plug in the values of the given points and simplify:

(x,y)=(−(−1)−5−6/3,−5+3+4/3)=(2,2/3)

Next, we need to find the radius of the circle. We can use the distance formula to find the distance between any of the three given points and the center of the circle:

Distance between (-1,5) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(2+1)2+(2/3−5)2=√10.111

Distance between (5,-3) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(5−2)2+(−3−2/3)2=√42.222

Distance between (6,4) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(6−2)2+(4−2/3)2=√33.361

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The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

all u have to do is count how many 2 there are then put that in and do the same for the 8

Step-by-step explanation:

Answer:

\(2^{6} *8^{4}\)

Step-by-step explanation:

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

The answer is 5 years

Step-by-step explanation:

50+(3x5)=65

75-(2x5)=65

Tom's deposit of $47.50 involved more money than Sara's withdrawal of $80.

This is because the amount involved in a transaction is determined by the magnitude of the transaction, which is the absolute value of the transaction. In other words, the amount involved in a transaction is determined by the size of the number, regardless of whether it is positive or negative.

Tom's deposit of $47.50 is a larger number than Sara's withdrawal of $80 when considering the absolute value of the transactions. Hence, Tom's deposit involved more money.

The direction of the transaction (whether it is a deposit or withdrawal) does not necessarily indicate the amount involved. The magnitude of the transaction is what determines the amount involved.

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The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

Step-by-step explanation:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

The percentage pay increase of Lisa's weekly will be 4%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Lisa's weekly pay increased from $525 to $546. Then the percentage pay increase will be given as,

P = [(546 - 525) / 525] x 100

Simplify the expression, then we have

P = [(546 - 525) / 525] x 100

P = (21 / 525) x 100

P = 0.04 x 100

P = 4%

The percentage pay increase of Lisa's weekly will be 4%.

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Step-by-Step Explanation:

\(x + \frac{2}{5} = \frac{1}{3} \\ = > x = \frac{1}{3} - \frac{2}{5} \\ = > x = \frac{5 - 6}{15} \\ = > x = \frac{ - 1}{15} \)

Answer:

A) x = -1/15

Answer:

Step-by-step explanation:

The central angle <HEG = 88 degrees as well -- same as the arc you were given.

<HFG = 44 degrees because the angle sits on the circumference opposite the central angle.

That means that

8x - 40 = 44                  Add 40 to both sides

8x = 44+40                  Combine

8x =  84                        Divide by 8

8x/8 = 84/8

x = 10.5

The lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is attached

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

–3x – 2 = 2x + 8

The above equation can be splitted by introducing the variable y

using the above as a guide, we have the following:

y = –3x – 2

y = 2x + 8

This means that the lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is added as an attachment

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⇒The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

\(2a=(a+10)+44\\2a=a+54\\2a-a=54\\a=54\)

⇒The exterior angle in this case NOTE IT IS 2a NOT a

⇒Therefore Exterior angle is =2(54°)

=108°

The answer is 108°

Answer:

68°

Step-by-step explanation:

We know that,

  the exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle.

Accordingly,

44 + a + 10 = 2a

First, subtract a from both sides.

44 + 10 = 2a - a

34 = a

Now let us find the measure of the exterior angle.

2a

2 × 34

68°

The amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet. Let us first calculate the perimeter of the garden by adding all the sides together.

The garden is 5 feet by 6 feet, so its perimeter is:2(5) + 2(6) = 10 + 12

= 22 feet

Now, we have to add the walkway's width around the garden to the dimensions of the garden. Since the walkway is 2 feet wide on all sides, we add 4 feet (2 feet on each side) to the width of the garden and 4 feet to its length. Therefore, the new dimensions of the garden, including the walkway, are:

5 + 2 + 2 = 96 + 2 + 2

= 8

So the dimensions of the garden, including the walkway, are 9 feet by 8 feet.Now, we need to calculate the perimeter of the walkway. The perimeter is calculated as follows:

2(9) + 2(8) = 18 + 16

= 34 feet.

The question asks for the amount of fencing required to surround the walkway. Therefore, we subtract the perimeter of the garden from the perimeter of the walkway to obtain the required amount of fencing.

34 - 22 = 12 Therefore, the amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet.

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Answer:

B, 600

I've attached a graph to help ya!

Hope this helps!

There are 12 possible functions that satisfy the given conditions.

Since there are 5 possible outputs for each of the three inputs, there are a total of 5^3 = 125 possible functions that can be defined. However, we need to consider the condition that f(1) < f(2) < f(3).

Without loss of generality, we can assume that f(1) = 1. Then, f(2) can be any integer from 2 to 5, and f(3) can be any integer from f(2)+1 to 5. Therefore, there are 4 choices for f(2) and 3 choices for f(3), giving a total of 4*3 = 12 possible functions that satisfy the condition.

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Answer:

90 for the first oneoneoneone

Step-by-step explanation:

There are 8 more 7th graders involved in the yearbook club.

So Yes, the jump rope club need to be remove as it only represents about 1% of the 7th-grade population.

a) To know how many more 7th graders are involved in the yearbook club, it will be:

Number of 6th graders involved in the yearbook = 10

Number of 7th graders involved in the yearbook = 18

So, the difference is:

18 - 10

= 8

Hence there are 8 more 7th graders involved in the yearbook club.

b) To know  the percentage of 6th graders involved in the yearbook club, it will be:

Number of 6th graders involved in the yearbook = 10

Total number of 6th graders = 280

The Percentage of 6th graders involved in the yearbook club:

(10 / 280) x  100

= 3.57%

So about 3.57% of 6th graders are seen in the yearbook club.

c)  Number of 7th graders involved in the jump rope club = 2

Total number of 7th graders = 200

Percentage of 7th graders involved in the jump rope club

= (2 / 200) x 100

= 1%

The jump rope club represents about 1% of the 7th-grade population.

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See text below

For C in the image below your choices are yes or no for the beginning

1. A random sample from the 6th and 7th grade student population was taken to determine which clubs were the most popular.

                        YEARBOOK         STUDENT COUNCIL         JUMP ROPE

6TH GRADE         10                         24                                       6

7TH GRADE         18                          20                                      2

a. If there are 280 6th graders and 200 7th graders, then how many more 7th graders are involved in the yearbook?

b. What percent of 6th graders are involved in the yearbook club?

c. The school decides to drop any club with less than 5% of the population enrolled. Should any clubs be dropped?

a: 10 more 7th graders are able to be involved

b: 3.57 % of 6th graders are involved

C: ------  it represents exactly ----- % of the 7th grade population

Yes. club JUMP ROPE should be dropped because it represents exactly 1% of the 7th grade population

From the table, it should be noted that 7th grade has

Working out the percentages to determine the club to be dropped is

Year book  = 18/200 * 100/1 = 9%

Students council = 20/200 *0100/1 = 10% and

Jump rope = 2/200 * 100/1 = 1%

The decision is that any club that has less than 5% should be dropped.

Therefore Jump rope has 1% which is less than 5% therefore it should be dropped.

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