Plz help
This is algebra

The midpoint of the line segment from P to P₂ is (-8,5) and the coordinates of P are (-8,1). The coordinates of point P₂ is determined by using the midpoint formula, as (-8,9).

The coordinates of point P₂ can be determined by using the midpoint formula.

Given that the midpoint of the line segment from P to P₂ is (-8,5) and the coordinates of P are (-8,1), we can find the coordinates of P₂.

The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

Let's apply the midpoint formula to find the coordinates of P₂:

Midpoint coordinates: (-8,5)

Coordinates of P: (-8,1)

To find the x-coordinate of P₂, we can average the x-coordinates of the midpoint and P:

(x₁ + x₂)/2 = (-8 + x₂)/2

-8 + x₂ = -16

x₂ = -16 + 8

x₂ = -8

Similarly, to find the y-coordinate of P₂, we average the y-coordinates of the midpoint and P:

(y₁ + y₂)/2 = (1 + y₂)/2

1 + y₂ = 10

y₂ = 10 - 1

y₂ = 9

Therefore, the coordinates of P₂ are (-8,9).

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Answer:

-10

Step-by-step explanation:

First, lets put this into slope intercept form

3x + 2y = -6

2y = -3x - 6

y = -3/2x - 3

The y intercept is (0, -3)

To find the x intercept we set the new equation to zero and solve

0 = -3/2x - 3

+3             +3

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

6 = -3x

6/-3 = -3x/-3

-2 = x

The x intercept is (-2,0)

Therefore, your intercepts are:

y-int. = (0,-3)

x-int. = (-2,0)

Hope this helps! =D

The derivative of f(t) is f'(t) = 10t^3 + 38t^2 + 38t + 22. Evaluating f'(2), we find f'(2) = 134.

To find the derivative of f(t), we apply the product rule and chain rule. Let's break down the function f(t) = (t^2 + 4t + 4)(5t^2 + 3).

Using the product rule, we differentiate the first term (t^2 + 4t + 4) while keeping the second term (5t^2 + 3) constant. The derivative of the first term is 2t + 4.

Next, we differentiate the second term (5t^2 + 3) while keeping the first term (t^2 + 4t + 4) constant. The derivative of the second term is 10t.

Now, applying the chain rule, we multiply the derivative of the first term by the second term and the derivative of the second term by the first term. Thus, f'(t) = (2t + 4)(5t^2 + 3) + (t^2 + 4t + 4)(10t).

Expanding and simplifying, we get f'(t) = 10t^3 + 38t^2 + 38t + 22.

To evaluate f'(2), we substitute t = 2 into the derivative function. Therefore, f'(2) = 10(2)^3 + 38(2)^2 + 38(2) + 22 = 134.

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The area of the regular octagon is $\boxed{\frac{225}{2}}$ square centimeters, or $\boxed{112.5}$ square centimeters, rounded to one decimal place.

An octagon is an eight-sided polygon. An octagon with all sides congruent is called a regular octagon. Since AP = 10 cm and BC = 15 cm are given, and the octagon is regular,

we can find the area of the octagon.To find the area of the regular octagon, we can divide the octagon into 8 congruent isosceles triangles, each of which has an angle measure of 135 degrees.

First, let's find the length of the side of the regular octagon. Let "s" be the length of one side of the octagon, and let "r" be the radius of the circumscribed circle.

Then, we have:$$s^2 + s^2 = r^2$$$$2s^2 = r^2$$$$r = s\sqrt{2}$$Since the diameter of the circumscribed circle is BC = 15 cm,

we have:$$2r = 15$$$$s\sqrt{2} = \frac{15}{2}$$$$s = \frac{15}{2\sqrt{2}}$$

Now, let's find the area of one isosceles triangle. We can use the formula:$$\frac{1}{2}ab\sin C$$where a = b = s, and C = 135 degrees.

Then, we have:$$\frac{1}{2}(s)(s)\sin 135 = \frac{1}{2}s^2\frac{1}{\sqrt{2}} = \frac{s^2}{2\sqrt{2}}$$

Finally, the area of the regular octagon is given by:$$8\cdot \frac{s^2}{2\sqrt{2}} = \frac{4s^2\sqrt{2}}{2\sqrt{2}} = \boxed{2s^2}$$

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The set of numbers {6, 8, 14} and the set {11, 14, 22} could represent the three sides of a triangle.

To determine whether a set of numbers could represent the sides of a triangle, we need to check if it satisfies the triangle inequality theorem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let's evaluate each set of numbers:

1. {6, 8, 14}

  The sum of the two smaller sides is 6 + 8 = 14, which is greater than the third side 14. Therefore, this set could represent the sides of a triangle.

2. {13, 20, 34}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 34. Hence, this set cannot represent the sides of a triangle.

3. {11, 14, 22}

  The sum of the two smaller sides is 11 + 14 = 25, which is greater than the third side 22. Therefore, this set could represent the sides of a triangle.

4. {13, 20, 35}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 35. Hence, this set cannot represent the sides of a triangle.

In summary, the sets {6, 8, 14} and {11, 14, 22} could represent the three sides of a triangle.

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To calculate the wasted space in the canister, we need to determine the volume of the canister and subtract the combined volume of the three tennis balls. Given that each tennis ball has a diameter of 2.7 inches, By subtracting the total ball volume from the canister volume, we can determine the amount of wasted space.

The volume of a sphere can be calculated using the formula:

Volume = (4/3) * π * (radius)^3

Since each tennis ball has a diameter of 2.7 inches, the radius is half of that, which is 1.35 inches. Thus, we can calculate the volume of each ball as follows:

Volume of one ball = (4/3) * π * (1.35)^3

To find the total volume of the balls, we multiply the volume of one ball by three:

Total ball volume = 3 * (4/3) * π * (1.35)^3

The canister is cylindrical, so its volume can be calculated as the product of the cross-sectional area (π * radius^2) and the height of the canister.

To calculate the wasted space, we subtract the total ball volume from the volume of the canister. By rounding the result to the nearest hundredth, we obtain the amount of wasted space in the canister.

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Answer:

Step-by-step explanation:

An angle bisector line divides or makes two congruent angles for any given angle.

so measurement of angle 1 = 25 degrees

and measurement of angle FEG = 50 degrees

and done!

Answer:

Step-by-step explanation:

Given inequality:

Mark the point 3.2 with open dot and shade zone right to that point.

See attached

The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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a) i) The variable of interest is a binomial variable with p = 0.005 and n = 52.

ii) The probability that a particular employee receives at least one gift card in a 52-week year is of 0.2295 = 22.95%.

b) The expected number of gifts that each employee should receive during a year is of: 0.26.

c) Considering the above expected value, Agatha does not have a strong argument that the selection process was not truly random.

For each employee, there are only two possible outcomes, either they get a gift, or they do not, hence the binomial distribution is used to describe the variable.

Each of the company’s 200 employees is equally likely to be selected each week, hence the parameter p is given as follows:

p = 1/200 = 0.005.

The year has 52 weeks, hence the parameter n is given as follows:

n = 52.

The probability of winning no cards is of:

P(X = 0) = (1 - 0.005)^52 = 0.7705.

Hence the probability of at least one gift is of:

P(X > 0) = 1 - P(X = 0) = 1 - 0.7705 = 0.2295.

The expected value is calculated as follows:

E(X) = np = 52 x 0.005 = 0.26.

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Answer:

1.212 x 10^2

Step-by-step explanation:

Step 1 we get true decimal form answer = 121.2

Step 2 we count numbers for power in front of decimal before conversion and -1 = 3-1 = 2 power.

Step 3 We rewrite 121.2 in standard form 1.212  and x10 and use 2 power we proved.

Answer:

v does not exist

Step-by-step explanation:

5v+5=4+5v

there is no v

Answer:

The answer is B

Step-by-step explanation:

The asymptote of this graph is -4. If you look at the bottom of the graph, the line is going flat to -4, that means it's the asymptote. B has the only option where -4 occurs. Therefore, it's B.

Hope this helps.

The total area will be covered by the logo is 57.13 square ft if a  new ice cream shop in town plans to use a half circle atop a triangle as their logo.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

As we know,

The area of the semicircle = πr²/2 = π(12-8)²/2

The area of the semicircle = 25.13 square ft

The area of the triangle = (1/2)8(8) = 32 square ft

Total area = 25.13  + 32 = 57.13 square ft

Thus, the total area that will be covered by the logo is 57.13 square ft if a  new ice cream shop in town plans to use a half circle atop a triangle as their logo.

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Answer:

Step-by-step explanation:

(1 , -2)   x₁ =1 & y₁ = -2

(-3,10)  x₂= -3 & y₂ = 10

First we need to find the slope.

\(\boxed{Slope = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$}\)\(\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}\)

          \(=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3\)

m = -3

Equation of the line: y = mx + b

y = -3x + b

To find the value of b, take one of the point and substitue in the above equaiton.

(1 , -2)

-2 = -3*1 + b

-2 = -3 + b

-2 + 3 = b

b = 1

Equation of the line:

y = -3x + 1

One possible value of ∠U is 80° (to the nearest degree).

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.

To find the possible values of ∠U, we can use the Law of Cosines:

c² = a² + b² - 2ab cos(C)

Where c is the side opposite the angle we want to find (∠U), a and b are the other two sides, and C is the angle opposite side c.

In this case, we want to find ∠U, so we'll use side u as c and sides t and s (which we don't know yet) as a and b, respectively:

u² = t² + s² - 2ts cos(U)

Substituting the given values, we get:

340² = 620² + s² - 2(620)(s)cos(U)

Simplifying:

115600 = 384400 + s² - 1240s cos(U)

Subtracting 384400 and rearranging:

s² - 1240s cos(U) + 268800 = 0

Now we can use the quadratic formula to solve for s:

s = [1240 cos(U) ± √(1240² cos²(U) - 4(1)(268800))]/(2)

Simplifying under the square root:

s = [1240 cos(U) ± √(1537600 cos²(U) - 1075200)]/(2)

s = [1240 cos(U) ± √(409600 cos²(U) + 1742400)]/(2)

s = [620 cos(U) ± √(102400 cos²(U) + 435600)]

Since s must be positive, we can discard the negative solution, and we have:

s = 620 cos(U) + √(102400 cos²(U) + 435600)

Now we can use the fact that the sum of angles in a triangle is 180° to find ∠U:

∠U = 180° - ∠T - ∠S

Since we know ∠T = 110°, we just need to find ∠S. We can use the Law of Sines to do this:

sin(S)/s = sin(T)/t

sin(S) = (s/t)sin(T)

Substituting the values we know:

sin(S) = (620 cos(U) + √(102400 cos²(U) + 435600))/620 * sin(110°)

sin(S) ≈ (1.481 cos(U) + 2.225)/6.959

Now we can use a calculator to find the arcsin of both sides to get ∠S:

∠S ≈ arcsin((1.481 cos(U) + 2.225)/6.959)

Finally, we can substitute the values we found for ∠S and ∠T into the equation we found earlier for ∠U:

∠U = 180° - 110° - arcsin((1.481 cos(U) + 2.225)/6.959)

Simplifying:

∠U = 70° - arcsin((1.481 cos(U) + 2.225)/6.959)

Now we can use trial and error or a graphing calculator to find the values of ∠U that satisfy this equation. One possible solution is:

∠U ≈ 80°

Therefore, one possible value of ∠U is 80° (to the nearest degree).

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Answer: \(4\ in.\)

Step-by-step explanation:

Given

Handy uses a scale of 1 inch to 2 foot i.e. 1 inch of drawing represents 2 foot

For 8 foot length of tree house he draw x inch(say)

\(\therefore \ \dfrac{1\ \text{inch}}{2\ \text{foot}}=\dfrac{x}{8}\\\\\Rightarrow x=8\times \dfrac{1}{2}\\\Rightarrow x=4\ in.\)

So, handy draw 4 inches.

Answer:

3/2y-5

Step-by-step explanation:

The expression – 1/2 (–3y + 10) is equivalent to the expression (3/2)y – 5.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ – 1/2 (–3y + 10)

Simplify the equation, we have

⇒ (3/2)y – 5

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The function call "calcNet(emp)" passes a copy of the complete emp structure to calcNet(). This is because "emp" refers to the variable name of the structure, and passing it without the "&" operator or the "*" operator means that a copy of the structure is passed instead of a reference or a pointer.

In this case, calcNet() would receive a complete copy of the emp structure and be able to perform calculations on it. However, any changes made to the structure within calcNet() would not be reflected in the original emp structure.
It is important to understand the difference between passing by value (copying the data) and passing by reference or pointer (passing a reference to the data). Passing by reference or pointer allows for changes made to the data within a function to be reflected in the original variable outside of the function.
In summary, the correct answer to the question is b) calcNet(emp), which passes a copy of the complete emp structure to calcNet().

The complete question is:-

the function call ____ passes a copy of the complete emp structure to calcnet().

a) calcNet(struct emp);

b) calcNet(emp);

c) calcNet(&emp);

d) calcNet(*emp)

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Answer:

1/2 is a fraction and 1 1/2 is a whole number

Answer:

youngest=115

middle=150

elder=230

Step-by-step explanation:

let the youngest be x

the middle will be x+35

the oldest will be 2x

x+x+35+2x=495

4x+35=495

4x=495-35

4x=460

x=115

since the youngest is x,the money he will receive is $115.

the middle will be x+35 which is equal to 115+35=$150.

lastly the oldest will be 2x which is equal to 2×115=$230.

Answer:

Defined variables:

Y - amount the youngest son gets

M - amount the middle son gets

O - amount the oldest son gets

Y got $115

M got $150

O got $230

Step by Step explaination:

If Y is the youngest, then the middle son, M = Y + $35 since the middle child gets $35 more than the youngest gets. The oldest son, O = 2Y since it’s twice the amount the youngest gets.

If you add each of those up, the equation you get is 2Y + (Y+$35) + Y = $495. Now you can solve for Y, the youngest son.

2Y + (Y+$35) + Y = $495

4Y + $35 = $495

4Y = $460

Y = $115

If Y gets $115 and M gets $35 more, M gets $150.

If Y gets $115 and O gets twice that amount, O gets $230.

To double check my work add 230 + 115 + 150. This equals $495. Hope this helps!

A line, line segment, or ray that divides an angle into two congruent angles is called an angle bisector.

What are supplementary angles example?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

What do you mean by angle bisector?

If the angle is divided by the line and the angle is divided such that the angles are equal to each other then the line is called the angle bisector.

The word congruent means equal of the things. In this, the angles are congruent to each other which means the angles are equal to each other.

Thus, the black space is to be filled by the angle bisector.

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Answer:

Answer below

Step-by-step explanation:

a. g(w)=$30+$15w

b. h(w)=$65+$20w

c. g(3)=125 represents that Darnell's account has $125 after 3 weeks

d. w=3.5

Answer: .B.

Step-by-step explanation

Q49: 1.The level of measurement for ages of students in a statistics class is C. interval.

Q50. the answer is D. 0.483

Q51:

(1) DPU = 142 / 350 = 0.406

(2) DPO = 142 / (350 × 350) = 0.00114

(3) DPMO = 0.00114 × 1,000,000 = 1,140

(4) PPM = 1,140

Q52:

a) σ = 0.84 / 21 ≈ 0.04 inches

b) σ = 0.002 ounces

c)  Cpk = min(2.80, 0.90) = 0.90

d) RPN = Severity × Occurrence × Detection = 9 × 8 × 7 = 504

Q53:

1. σ = 3.869

2.Cw = (USL - LSL) / (6 * σw)

2.To calculate Cp, we use the formula:

Cp = (USL - LSL) / (6 * σ)

where Cp is the process capability index, USL is the upper specification limit, LSL is the lower specification limit, and σ is the short-term standard deviation.

Given:

USL = 40 minutes

LSL = 30 minutes

σ = 3.450

Cp = (40 - 30) / (6 * 3.450)

Cp = 10 / 20.7

Cp ≈ 0.483

Therefore, the answer is D. 0.483.

Q51:

(1) Defects per Unit (DPU) = Total number of defects / Total number of units

DPU = 142 / 350 = 0.406

(2) Defects per unit opportunity (DPO) = Total number of defects / (Total number of units × Number of opportunities)

DPO = 142 / (350 × 350) = 0.00114

(3) Defect per million opportunity (DPMO) = DPO × 1,000,000

DPMO = 0.00114 × 1,000,000 = 1,140

(4) Part per million defect rate (PPM) = DPMO

PPM = 1,140

Q52a. Cp = (USL - LSL) / (6 * σ)

Given:

Cp = 3.5

USL = 16.08 + 0.42 = 16.5 inches

LSL = 16.08 - 0.42 = 15.66 inches

3.5 = (16.5 - 15.66) / (6 * σ)

21 = 0.84 / σ

σ = 0.84 / 21 ≈ 0.04 inches

b. Cp = (USL - LSL) / (6 * σ)

Given:

Cp = ?

USL = 12.000 + 0.015 = 12.015 ounces

LSL = 12.000 - 0.015 = 11.985 ounces

σ = 0.002 ounces

Cp = (12.015 - 11.985) / (6 * 0.002)

Cp = 0.03 / 0.012

Cp ≈ 2.5

c. Cpk = min(Cpu, Cpl) = min(USL - μ / (3 * σ), μ - LSL / (3 * σ))

Given:

Cpk = ?

Cpu = 2.80

Cpl = 0.90

Cpk = min(2.80, 0.90) = 0.90

d. The Risk Priority Number (RPN) is calculated as Severity × Occurrence × Detection.

Given:

Severity = 9

Occurrence = 8

Detection = 7

std dev = 15

RPN = Severity × Occurrence × Detection = 9 × 8 × 7 = 504

Q53:

(i) Cp = (USL - LSL) / (6 * σ)

Given:

USL = 60

LSL = 55

σ = 3.869

Cp = (60 - 55) / (6 * 3.869)

Cp ≈ 0.217

(ii) Cw = (USL - LSL) / (6 * σw)

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The probability that sample is greater than 418 will be is 6.533.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

Here we have

\(\mu=397.64,n=40,\sigma=20\)

According to central limit theorem, the sampling distribution of mean will be normal with mean

\(\mu_{\bar{x}}=\mu=397.64\)

and standard deviation

\(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{40}}=3.1623\)

The z-score for\(\bar{x}=418\) is

\(z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{418-397.34}{3.1623}=6.533\)

Therefore, the probability that sample is greater than 418 will be

\(P(\bar{x} > 418)=P(z > 6.533)\)

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Incomplete Question

Carbon dioxide (CO2) is one of the primary gases contributing to the greenhouse effect and global warming. The mean amount of CO2 in the atmosphere for March 2013 was 397.34 parts per million (ppm). Suppose 40 atmospheric samples are selected at random in May 2013 and the standard deviation for CO2 in the atmosphere is σ = 20 ppm. (1 pt.)

c) Suppose the sample mean CO2 level is 400. Is there any evidence to suggest that the population mean CO2 level has increased?

The correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

The measure of the variability of the sample means, also known as the standard error of the mean, can be calculated using the formula:

Standard Error of the Mean (SE) = σ / √(n)

sigma is the population standard deviation,

n is the sample size.

The standard error of the mean represents the variability or dispersion of the sample means obtained from repeated samples of size n from a population. It indicates how much the sample means are likely to differ from the true population mean.

The smaller the standard error of the mean, the less variability is expected among the sample means, indicating a more precise estimate of the population mean.

Therefore, the correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

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Given question is incomplete, the complete question is below

A measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is

a. s

b. σ/√(n)

c. s/√(n)

d. σ

Answer:

Step-by-step explanation:

r32