(a.) w = -3
(b.) w = 6
(c.) w = 4
(d.) w = -4

Answer:

the answer is e because when divided and the calculations are done ull get it

Step-by-step explanation:

if u need more help id be glad to explain.

The graph of the function f(x) = |x + 1| + 2 is a V-shaped graph with the vertex at (-1, 0). It passes through the points (-2, 3), (-1, 2), (0, 3), (1, 4), and (2, 5).

To graph the function f(x) = |x + 1| + 2, we can follow a step-by-step process:

Step 1: Determine the vertex of the absolute value function

The vertex of the absolute value function |x| is at (0, 0). To shift the vertex horizontally by 1 unit to the left, we subtract 1 from the x-coordinate of the vertex, resulting in (-1, 0).

Step 2: Plot the vertex and find additional points

Plot the vertex (-1, 0) on the coordinate plane. To find additional points, we can choose values for x and evaluate the function f(x). Let's choose x = -2, -1, 0, 1, and 2:

For x = -2: f(-2) = |-2 + 1| + 2 = 1 + 2 = 3, so we have the point (-2, 3).

For x = -1: f(-1) = |-1 + 1| + 2 = 0 + 2 = 2, so we have the point (-1, 2).

For x = 0: f(0) = |0 + 1| + 2 = 1 + 2 = 3, so we have the point (0, 3).

For x = 1: f(1) = |1 + 1| + 2 = 2 + 2 = 4, so we have the point (1, 4).

For x = 2: f(2) = |2 + 1| + 2 = 3 + 2 = 5, so we have the point (2, 5).

Step 3: Plot the points and connect them with a smooth curve

Plot the points (-2, 3), (-1, 2), (0, 3), (1, 4), and (2, 5) on the coordinate plane. Then, connect the points with a smooth curve.

The resulting graph will have a V-shaped structure with the vertex at (-1, 0). The portion of the graph to the left of the vertex will be reflected vertically, maintaining the same shape but pointing downwards. The graph will pass through the points (-2, 3), (-1, 2), (0, 3), (1, 4), and (2, 5).

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The area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².

The area of the circle is the space occupied by it. It can be given as,

\(A=\pi r^2\)

Here (r) is the radius of the circle.

In this diagram, three concentric circles' rectangle.

The radius of the smallest circle is 3.

\(r_1=3\rm\unit\)

Thus, the area of it is,

\(A=\pi (3)^2\\A=28.27\rm\; unit^2\)

Let suppose the mid-point of the rectangle is D. Here, OB is the diagonal of the rectangle in which,

\(OD=BD\)  

The radius of the yellow ring's outer face from point O is,

\(r_3=OD+BD\\r_3=OD+OD\\r_3=2OD\\\)

OD is the radius of the small circle, which is 3 units long. Thus,

\(r_3=2\times3\\r_3=6\rm\; units\)

The line segment OC is the radius of the white circle from point O. In the triangle COB from the Pythagoras theorem, the radius r₂ of the middle circle is,

\(r_2=\sqrt{r_3^2-r_1^2}\\r_2=\sqrt{6^2-3^2}\\r_2=3\sqrt3\)

Thus, the area of the yellow ring is,

\(A_y=\pi r_3^2-\pi r_2^2\\A_y=\pi (6)^2-\pi (3\sqrt{3})^2\\A_y=28.27\rm\; unit^2\)

The area of white ring is,

\(A_w=\pi r_2^2-\pi r_1^2\\A_w=\pi (3\sqrt{3})^2-\pi (3)^2\\A_w=56.55\rm\; unit^2\)

Hence, the area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².

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The population of seniors who plan to attend community college is; 115.

According to the task content;

On this note, the number of seniors who want to attend community college among the 320 seniors is;

On this note, it follows that the number of seniors who want to attend community college is; 115 seniors.

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Answer:

x=42°

Step-by-step explanation:

angles around a point add to 360°

2x+3x+150=360°

take away 150°

2x+3x=210°

5x=210°

divide by 5

x=42°

Answer:

42

Step-by-step explanation:

2x+3x+150°=360°

collect like terms

2x+3x=360°-150°

5x=210°

divide both sides by 5x

therefore, x=42

C+ and A are letter grade in the courses earned by the student in their examination.

Result of examination of different courses are published by grading system. The students are given grades that depends on how much number they earn in the courses. Grades are shown by letter such as D, C-, C , C+, B-, B, B+, A-, A and A+. Each letter grade has particular value such as A+ = 5, A = 4.75, A- =4.5, C+= 2.5, D=2 and so on. Among all these A+ has the highest value that indicate 80% and above number, the lowest value has D that indicate 40% number earn. The F grade that refers fail has no value.

Student earns grades in each course, but the average grade is calculated by multiplying each course grade to its particular credit hour and sum all the courses in the similar way. Finally, the result is divided by the sum of total credit hour earned. This is grade point average.

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The year in which the number of deaths were 80,000 is A = 1997

Given data,

To estimate the year when there were 80,000 deaths, we need to find the value of x that corresponds to D(x) = 80,000.

Given the function D(x) = 2144x^2 + 5224x + 5244, we can set it equal to 80,000:

2144x² + 5224x + 5244 = 80,000

Rearranging the quadratic equation, we get:

2144x² + 5224x + 5244 - 80,000 = 0

2144x² + 5224x - 75456 = 0

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 2144, b = 5224, and c = -75456.

Substituting the values into the quadratic formula:

x = (-5224 ± √(5224² - 4 * 2144 * -75456)) / (2 * 2144)

After performing the calculations, we find two values for x:

x ≈ -3.048 and x ≈ 13.664.

Since x represents the number of years after 1984, a negative value does not make sense in this context.

Therefore, we consider the positive value of x.

x ≈ 13.664

To estimate the year when there were 80,000 deaths, we add x to 1984:

1984 + 13.664 ≈ 1997.664

Hence , the estimate for the year when there were 80,000 deaths is approximately 1997.

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Answer:

65

Step-by-step explanation:

65 because they alternate

AB=BA

65=115

115=65

idrk if tht makes sense tho lol

Answer:

-4/7, 1/19, 7/4

Step-by-step explanation:

-4/7 is less then zero, and the only negative number so it is first

1/19 is the second lowest

7/4 is the highest because it is the only one that is greater then 1. (simplified, 7/4= 1 3/4)

The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).

To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.

Step 1: Find two vectors in the plane.

Let's find two vectors by taking the differences between the given points:

Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)

Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)

Step 2: Find the normal vector.

The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:

Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)

Step 3: Write the equation of the plane.

Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:

n · (x, y, z) = n · (0, 6, 6)

Step 4: Simplify the equation.

Substituting the values of n and the chosen point, we have:

(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)

Simplifying further:

\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)

Therefore, the equation of the plane passing through the given points is:

\(36x + 36y + 36z = 432\)

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For the training adaptation of maximum strength, 1 to 5 repetitions per set is recommended.

The one-repetition maximum test, also called a one-rep max or 1RM, is used to find out the heaviest weight you can lift just once.

If Maximal strength is desired, it is best achieved by performing  repetitions at  85 to 100 % of the one-repetition maximum (1RM).

Formula to find the repetition is

weight used x (reps done x 0.33 + 1) =  1RM

so,

Reps done = {{1RM/weight used} - 1}/ 0.33

By this find the no of reps are recommended for maximum strength.

The maximum strength is achieved by doing the number of reps by 85 to 100% of the value of 1 RM.

So,

For the training adaptation of maximum strength, 1 to 5 repetitions per set is recommended.

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The probability that an observation taken from a standard normal population where P(-2.45 < Z < 1.31) is 0.8978.

To find the probability that an observation taken from a standard normal population lies between -2.45 and 1.31, you will use the given Z-scores and look up their corresponding values in a standard normal table or use a calculator with a normal distribution function.

P(-2.45 < Z < 1.31) = P(Z < 1.31) - P(Z < -2.45)

Using a standard normal table or calculator, we find:
P(Z < 1.31) ≈ 0.9049
P(Z < -2.45) ≈ 0.0071

Now, subtract these probabilities:
P(-2.45 < Z < 1.31) = 0.9049 - 0.0071 = 0.8978

So, the correct answer is A) 0.8978.

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There are thing we must already know:

From this, we must know that:

The scientis needs 0.25kilograms. From this we calculate:

In a fast-food management program, there are 15 qualified applicants for 8 trainee positions. We are supposed to calculate the number of different groups of trainees that can be selected. For this, we can use the formula for combination. In mathematics, a combination is a way of selecting items from a collection, such that the order of selection doesn't matter.

It is represented as n Cr, where n is the total number of items and r is the number of items to be selected. In this problem, we have to select 8 trainees from a total of 15 qualified applicants. Hence, the solution is as follows: Now, we can use the formula for combination, which is as follows:

n Cr = n!/(r!(n-r)!)  where n is the total number of items, and r is the number of items to be selected. In this case, we have 15 items to choose from, and we want to select 8 of them. Hence, we get:  15C8 = 15!/(8!(15-8)!) 15C8 = (15 × 14 × 13 × 12 × 11 × 10 × 9 × 8!)/(8! × 7 × 6 × 5 × 4 × 3 × 2 × 1)15C8 = 6435  Therefore, there are 6,435 different groups of trainees that can be selected from the 15 qualified applicants for 8 trainee positions in a fast-food management program.

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Answer:

Step-by-step explanation:

cos 45° = base / hypotenuse

1/√2 = base / 15√2

15√2 = base√2

Base, = 15

sin 60° = perpendicular / hypotenuse

hypotenuse = x

√3/2 = 15 / x

x √3 = 30

x = 30 / √3

x = 10√3

Answer:

x = 10√3

Step-by-step explanation:

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Answer:

27:18

Step-by-step explanation:

simplified would be 3:2

The solution is,  the length of TQ, in centimeters, to the nearest whole number is 167cm.

What is the scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

Triangles PQR and SQT are similar.

so, from the given figure we get,

PR/ST = RQ/TQ

now, we have,

the scale factor = PR/ST

                         = 75/50

                         =3/2

                         = 1.5

so,  RQ/TQ = 1.5

or, TQ = RQ/1.5

          =250/1.5

          =166.66

Hence, The solution is,  the length of TQ, in centimeters, to the nearest whole number is 167cm.

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Answer:

0.64 kilogram

Step-by-step explanation:

Answer:

A- 40

B- 90

C- 230

D- 310

Step-by-step explanation:

When rounding it is important to remember if the number is five or more to round up. ("Five or more, raise the score")

Hope this helps! :)

a) The effort level E MSY to get the maximum sustainable yield is 0.

b) The effort level E OA is not constrained.

(a) To calculate the size of the biomass S MSY for the maximum sustainable yield (MSY), we need to find the stock level where the growth rate G(S) is equal to the harvest rate H(E,S).

G(S) = H(E,S)

0.4S(1−10000/S) = 0.01ES

S(1−10000/S) = 0.01E

S - 10000 = 0.01E

S = 0.01E + 10000

To find S MSY , we need to set the growth rate G(S) equal to zero:

G(S) = 0.4S(1−10000/S) = 0

0.4S(1−10000/S) = 0

S(1−10000/S) = 0

S = 0 or S = 10000

Since S cannot be zero in this context, the size of the biomass S MSY for the maximum sustainable yield is 10,000.

To find the corresponding effort level E MSY , we substitute S MSY into the equation:

S = 0.01E + 10000

10000 = 0.01E + 10000

0.01E = 0

E MSY = 0

(b) In an open access fishery, there are no restrictions on the amount of effort that can be applied. Therefore, the effort level E OA is not constrained.

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Answer:

the answer is option A one graph

and I think or am sure it is correct ans.

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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