Select the correct answer.
Which graph represents this system of inequalities?
ý <-2x + 4
y < x + 3
x<3

9514 1404 393

Answer:

  C

Step-by-step explanation:

You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.

__

Algebraic solution

Algebraically, you can set y = -x +3, and solve for x. That gives you ...

  x = 3 -y

Using the relation given at the start:

  0 < x < 1

  0 < 3 -y < 1 . . . . . substitute for x

Adding y gives ...

  y < 3 < y+1

We can separate this into two inequalities:

  y < 3, and

  3 < y+1

  2 < y . . . subtract 1

Now, we have ...

  2 < y < 3 . . . . . the location of point C

As you can see, it is much easier to use the number line directly to find the desired point.

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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As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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Answer:

I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)

Step-by-step explanation:

(excuse my handwriting on the ss its hard to write on a computer lol)

hope this helps :)

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

9.68 × 10-5

Step-by-step explanation:

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

(D) the floor of a classroom is a perfect example of a line segment.

Therefore, (D) the floor of a classroom is a perfect example of a line segment.

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The correct form of the question is given below;
Which is an example of a line segment?

(A) the edge of a book

(B) the corner of a box

(C) a beam of light

(D) the floor of a classroom

Answer:

\(a= 4\\\\b= 4\\\\c= 8 \\\\d=16\\\\e= 12\\\\f=36\\\\g=64\)

Step-by-step explanation:

\(a= 4(1^2) = 4\\\\b = 4^1 = 4\\\\c=4(2) = 8\\\\d=4^2 = 16\\\\e = 4(3) = 12\\\\f=4\cdot 3^2 = 4(9) = 36\\\\g = 4^3 = 64\)

Answer:

17/400

Step-by-step explanation:

.0425 = 425/10,000

this can be simplified to be 17/400

Given:

\(\angle WXY=82^\circ\)

It underwent a sequence of two rotations around different centers.

To find:

The size of the angle WXY after the sequence of rotations.

Solution:

We know that, rotation is a rigid transformation. It means, the size and shape of the figure remains the same after the rotations. It other words, the figure and its image are congruent after rotation.

So, the measure of angle WXY remains same after the sequence of rotations, i.e.,

\(\angle W''X''Y''=82^\circ\)

where, \(\angle W'X"Y"\) is the image of \(\angle WXY\)  after the sequence of rotations.

Therefore, the size of the angle WXY after the sequence of rotations is 82°.

Answer:

A) 24 square meters

Step-by-step explanation:

SA=6s²

SA=6*(2)²

SA=6*4

SA=24

SA

We can start by finding how much money Anastasia saves each week.

The difference between her starting balance and ending balance after 11 weeks is:

$665 - $225 = $440

So, over 11 weeks, Anastasia has saved a total of $440.

To find how much money she saves each week, we can divide the total savings by the number of weeks:

$440 ÷ 11 weeks = $40 per week

This means that Anastasia saves $40 each week.

To find out how much money she will have in her account after 24 weeks, we can multiply the amount she saves each week by the number of weeks:

$40 per week × 24 weeks = $960

Therefore, after 24 weeks, Anastasia will have $960 in her savings account.

The most significant difference between the static and current electricity is that in static electricity the charges are at rest and they are accumulating on the surface of the insulator. Whereas in current electricity the electrons are moving inside the conductor.

Hope this helps I don't even know if your looking for this.

Answer:

66.99 cm³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(2)²(16)/3 = 66.99 cm³

To determine if the confidence interval contradicts the quality control manager's claim, we need more information about the confidence interval itself.

The provided statement indicates that all of the values in the confidence interval are "." which implies that the values are missing or not provided. Without knowing the specific values or the range of the confidence interval, we cannot draw a conclusion. However, based on the claim made by the quality control manager, if the lower limit of the confidence interval is less than the claimed value (less than 100% of customers experiencing interruption), then it would contradict the claim.

Conversely, if the lower limit of the confidence interval is greater than or equal to the claimed value, then it would support the claim. Without the actual values or the range of the confidence interval, we cannot determine if it contradicts the quality control manager's claim.

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A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).

B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).

C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).

To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.

A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.

B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.

C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.

Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.

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Answer:

108

Step-by-step explanation:

12-8(-12)

12-(-96)

12+96

108

The standard cubic spline equations for the remaining values of i, form a complete set of equations for determining the coefficients ai, bi, ci, and di for the periodic cubic spline function.

Hi! When computing a cubic spline for a periodic function, you'd want the first and second derivatives at the endpoints x0 and xn to be equal for continuity. In terms of the cubic spline coefficients, this translates to additional equations for the M_i's, which represent the second derivatives of the spline function.

1. For s'(x0) = s'(xn), we have M_0 * h_0 - M_1 * h_0 = M_(n-1) * h_(n-1) - M_n * h_(n-1), where h_i represents the difference between x_(i+1) and x_i.

2. For s''(x0) = s''(xn), we simply have M_0 = M_n.

These two additional equations replace the free/clamped/not-a-knot conditions when constructing a periodic cubic spline, ensuring that the first and second derivatives are continuous at the endpoints x0 and xn.

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The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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Answer:

3. first make Y the subject, then x^2 will become negative which will make the the parabola open up

The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

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Answer:

45 = ABD

Step-by-step explanation:

ABC = ABD + DBC

115 = ABD + 70

Subtract 70 from each side

115 - 70 = ABD

45 = ABD

Answer:

You are correct with B!!

Step-by-step explanation:

(x⁹)²

We have to multiply 9 x 2, regardless of the parenthesis for this one.

9 × 2 is 18.

We cannot simply 18 further.

Carry the x in front of 18.

x¹⁸

No, â =1 is not equals to ¾. Since ¾ is written as 0.75 in fractional notation.

The fraction ¾, which is equivalent to 0.75, is shown by the fractional notation "â...". The bottom number, or denominator, must be multiplied by the top number in order to comprehend this fraction (top number). 4 times 3 in this instance equals 12, which is true. Find the fractional value by first dividing the numerator by the denominator. In this case, the result of 3 divided by 4 is 0.75, or 3/4.

To calculate a fractional value, use the following formula:

Fractional Value: Numerator / Denominator

The numerator is multiplied by the denominator to arrive at 12 when calculating the fractional value of 3/4. Following that, the fractional value is obtained by dividing the numerator by the denominator:

Fractional value equals 3 / 4 = 0.75

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Answer:

$4.48

Step-by-step explanation:

First, you have to convert the percentage into a decimal.

12% x 100 = 0.12

Second, you multiply the decimal with the cost of the product before tax.

$4 x 0.12 = $0.48

This number is the amount of money you will have to pay in tax.

Third, you add the tax amount to the original cost of the product to get the total price.

$4 + $0.48 = $4.48

The correct answer is: c) 1/3, 5/3 The cosine function has a period of 2π, meaning it repeats every 2π radians.

To find the solutions for x in the equation 12cos(2x) + 10 = 16, we can solve it algebraically. Let's begin:

12cos(2x) + 10 = 16

Subtract 10 from both sides:

12cos(2x) = 6

Divide both sides by 12:

cos(2x) = 1/2

Now, we want to find the two smallest positive solutions for cos(2x) = 1/2. The cosine function has a period of 2π, meaning it repeats every 2π radians. We are looking for solutions in the range of 0 to 2π.

The cosine function has values of 1/2 at two specific angles: π/3 and 5π/3.

So, we can set up the following equations:

2x = π/3 and 2x = 5π/3

Solving for x in each equation:

For 2x = π/3:

x = π/6

For 2x = 5π/3:

x = 5π/6

Thus, the two smallest positive solutions for x in the equation 12cos(2x) + 10 = 16 are x = π/6 and x = 5π/6.

Therefore, the correct answer is:

c) 1/3, 5/3

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A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.

The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.

The sum of supplementary angles is equal to 180-degrees. From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

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Answer:

D    Supplementary   BC    D

Step-by-step explanation:

did on edgu 2022 !!

The ratio of C:D:F is 5:3:18.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The ratio of C:D is 5:3,

the ratio of F:D is 6:1.

i.e. F:D= 18:3

now,

C:D:F= 5:3:18.

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