Help please! (20 points!)


What do I do here??

Answer: c

Step-by-step explanation:

La ecuación de la recta que contiene el punto (x, y) = (0, 6)  y es paralela a la recta 2 · x + 3 · y + 4 = 0 es igual a 2 · x + 3 · y - 18 = 0.

En esta pregunta tenemos que derivar una ecuación de la recta a partir de una recta y un punto. Dos rectas bajo forma implícita son paralelas si y solo si comparten los mismos coeficientes dependientes, entonces tenemos que el coeficiente independiente de la recta es:

2 · 0 + 3 · 6 + k = 0

18 + k = 0

k = - 18

Por tanto, la ecuación de la recta que contiene el punto (x, y) = (0, 6)  y es paralela a la recta 2 · x + 3 · y + 4 = 0 es igual a 2 · x + 3 · y - 18 = 0.

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Answer:18

Step-by-step explanation:

Replace

2(2x2+5)

Solve in parentheses

2x2+5

4+5

9

Now multiply 9 by 2

2(9)

18

Answer:

18

Step-by-step explanation:

x(2x + y) =

2(2 ⋅ 2 + 5) =

2(4 + 5) =

2(9) =

18

hope this helps :)

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Therefore, the critical values for the test statistic Z₀ for a significance level of 0.08 are Z₀ = ±1.750.

To find the critical values for the test statistic Z₀ for a hypothesis test of a population mean with known variance σ, we need to determine the values that divide the upper and lower tails of the standard normal distribution, based on the given significance level.

For a two-tailed test at a significance level of α = 0.08, we need to split the significance level equally between the two tails, resulting in α/2 for each tail. In this case, α/2 = 0.08/2 = 0.04.

To find the critical value Z₀, we need to find the value of Z such that the area under the standard normal curve to the right of Z is equal to α/2 = 0.04.

Using a standard normal distribution table or a calculator, we can find that the critical value Z for an upper tail area of 0.04 is approximately Z = 1.750.

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We have shown that if (xk)^2 = x^2 - 2xk^2 for all values of x, then k = -1. This is because any other value of k will not satisfy the equation for all values of x.

To start, let's substitute x = 0 into the given equation:
(0k)^2 = 0^2 - 2(0)(k^2)
0 = 0
This means that the equation holds true for x = 0
Next, let's consider the case when x is not equal to 0. We can rearrange the given equation to get:
x^2 - (xk)^2 = 2xk^2
Using the difference of squares, we can simplify this to:
(x - xk)(x + xk) = 2xk^2
Dividing both sides by (x - xk), we get:
x + xk = 2k^2
Dividing both sides by x, we get:
1 + k = 2k^2 / x
Multiplying both sides by x, we get:
x + kx = 2k^2
Substituting this into our original equation, we get:
(x + kx)^2 = x^2 - 2xk^2
Expanding the left side, we get:
x^2 + 2kx^2 + k^2x^2 = x^2 - 2xk^2
Simplifying, we get:
2kx^2 + k^2x^2 = -2xk^2
Dividing both sides by kx^2, we get:
2 + k = -2/k
Multiplying both sides by k, we get:
2k + k^2 = -2
Rearranging, we get:
k^2 + 2k + 2 = 0
Using the quadratic formula, we get:
k = -1 ± i√3
However, we know that the equation holds true for all values of x. If we substitute k = -1 + i√3 into the original equation, we get:
(x(-1 + i√3))^2 = x^2 - 2x(-1 + i√3)^2
Simplifying, we get:
(-x + i√3x)^2 = x^2 + 2x(1 - i√3)
Expanding the left side, we get:
x^2 - 2xi√3x - 3x^2 = x^2 + 2x - 2xi√3x
Simplifying, we get:
-2xi√3x - 3x^2 = 2x - 2xi√3x
Cancelling the -2xi√3x terms, we get:
-3x^2 = 2x
Dividing both sides by x, we get:
-3x = 2
This means that the equation does not hold true for all values of x if k = -1 + i√3. Therefore, the only solution is k = -1.
In conclusion, we have shown that if (xk)^2 = x^2 - 2xk^2 for all values of x, then k = -1. This is because any other value of k will not satisfy the equation for all values of x.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

The probability of a prison sentence greater than 18 years for a person convicted of second-degree murder is 0.1056 or about 10.56%.

We must normalize the variable using the following method in order to determine the likelihood that a person convicted of second-degree murder will serve a jail term longer than 18 years:

\(z = (x - μ) / σ\)

where: mean of the distribution (15 years), delta: standard deviation, and x: value of interest (18 years in this example) (2.4 years).

When we enter the values, we will get that:

z = (18 - 15) / 2.4 = 1.25

Then, we can use a calculator or table of the standard normal distribution to determine the probability associated with this z-score. The likelihood of a sentence longer than 18 years is represented by the region to the right of the value z = 1.25. We determine that the region to the right of 1.25 is roughly 0.1056 using a common normal distribution table.

Hence, the likelihood that a person convicted of second-degree murder will serve a sentence in jail longer than 18 years is 0.1056 or roughly 10.56%.

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Answer:

A: (0,-5)

B:(4,-5) and (6,1)

C: (0,4)and (0,-5)

Step-by-step explanation:

In conclusion: (a) The linear transformation f: M₂x₂ → R₃ given by f(a b; c d) = (b+d, a+b, d-a) is injective (one-to-one). (b) The linear transformation f is surjective (onto) if and only if every value of z can be expressed as the difference d - a for some real numbers d and a.

To determine whether the linear transformation f: M₂x₂ → R₃ is injective (one-to-one) and surjective (onto), we need to analyze its properties and conditions.

Let's define the linear transformation f as:

f(a b; c d) = (b+d, a+b, d-a)

(a) Injective (One-to-One):

A linear transformation f is injective if every distinct input vector in the domain corresponds to a distinct output vector in the codomain. In other words, if f(a₁ b₁; c₁ d₁) = f(a₂ b₂; c₂ d₂), then (a₁ b₁; c₁ d₁) = (a₂ b₂; c₂ d₂).

To test injectivity, we need to compare the outputs of f for two different input matrices and see if they are equal.

Let's assume two different input matrices: A₁ = (a₁ b₁; c₁ d₁) and A₂ = (a₂ b₂; c₂ d₂).

If f(A₁) = f(A₂), then we have:

(b₁+d₁, a₁+b₁, d₁-a₁) = (b₂+d₂, a₂+b₂, d₂-a₂)

Comparing the corresponding elements, we get the following system of equations:

b₁ + d₁ = b₂ + d₂ (1)

a₁ + b₁ = a₂ + b₂ (2)

d₁ - a₁ = d₂ - a₂ (3)

From equation (1), we can deduce that b₁ - b₂ = d₂ - d₁. Let's call this equation (4).

Similarly, equation (2) can be rewritten as a₁ - a₂ = b₂ - b₁. Let's call this equation (5).

Now, subtracting equation (3) from equation (4), we have:

(b₁ - b₂) - (d₁ - d₂) = (d₂ - d₁) - (a₂ - a₁)

(b₁ - b₂) - (d₁ - d₂) = (d₂ - d₁) - (b₂ - b₁)

Simplifying further, we get:

2(b₁ - b₂) = 2(d₂ - d₁)

b₁ - b₂ = d₂ - d₁

Using equation (5), we can substitute b₁ - b₂ = d₂ - d₁:

a₁ - a₂ = b₂ - b₁ = d₂ - d₁

This implies that a₁ = a₂, b₁ = b₂, and d₁ = d₂.

Therefore, we have shown that if f(A₁) = f(A₂), then A₁ = A₂. This confirms that f is an injective (one-to-one) linear transformation.

(b) Surjective (Onto):

A linear transformation f is surjective if every vector in the codomain has at least one corresponding input vector in the domain. In other words, for every vector (x, y, z) in the codomain R₃, there exists an input matrix A = (a b; c d) such that f(A) = (x, y, z).

To test surjectivity, we need to check if every vector (x, y, z) in R₃ can be expressed as f(A) for some matrix A = (a b; c d).

The codomain R₃ consists of 3-dimensional vectors, and the range of f is determined by the values of b, d, and the differences between b and d (b - d).

From the transformation equation f(a b; c d) = (b+d, a+b, d-a), we can observe that the third component z in R₃ is given by z = d - a. Therefore, any vector in R₃ can be expressed as f(A) if and only if z = d - a.

Since a and d are the diagonal elements of the input matrix A, we can conclude that for every vector (x, y, z) in R₃, there exists a matrix A = (a b; c d) such that f(A) = (x, y, z) if and only if z = d - a.

Therefore, f is surjective (onto) if and only if every value of z can be expressed as the difference d - a for some real numbers d and a.

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Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

A. The population and the sample in the poll are Americans and the sample is 2700 adults.

B. The type of sampling used is a random sampling.

C. There are no bias in the sources used.

Sampling is simply used in research to get to get the needed information about a particular group of people.

In this case, the online article about an opinion poll says that "41% of Americans own a gun." The poll is based on online survey interviews with 2,700 adults chosen randomly.

This is a random sampling. In this case, everyone has an equal chance of being selected. There's no bias as it was fair.

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There are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.

a. Choosing 2 objects at a time without repetition and with order counting: The ordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and with order counting are: ab, ac, ad, ae,

ba, bc, bd, be,

ca, cb, cd, ce,

da, db, dc, de,

ea, eb, ec, ed.

b. Choosing 2 objects at a time without repetition and without order counting: The unordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and without order counting are: ab, ac, ad, ae,

bc, bd, be,

cd, ce,

de.

c.Choosing 2 objects at a time with repetition: In this case, we can choose any of the 5 objects for the first position, and any of the 5 objects (including repetition) for the second position.

Therefore, there are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.

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The distance from the midpoint to the origin is \(\sqrt{5}\).

What is midpoint?

Midpoint is the point that is in the middle pf the line, and to calculate midpoint the formula is

[(x)1 + (x)2]/2, [(y)1 + (y)2]/2

given coodinates are (-2, -4) and (0, 8)

midpoint = (-2+0/2, 8-4/2)

=(-1, 2)

to find the distance from the midpoint to origin.

d= \(\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{2} )^2} }\)

the points are (-1,2) and (0,0)

d = \(\sqrt{(-1)^2+(2)^2}\)

d = \(\sqrt{5}\)

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Answer:

(a.)  8m

(b.) 12 cm

Step-by-step explanation:

a:

given: area of square = 64m²

formula of area of a square A = s²

We will reverse the formula to find the sum of the sides:

S = √A

S =√64

S = 8

b:

Given: perimeter of a square is 48 cm

formula for a perimeter of a square: P = 4 · s

We will reverse the formula to find the sum of the sides:

S = P ÷ 4

S = 48 ÷ 4

S = 12

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

\(tan(72)=\frac{150}{x}\) and, solving for x,

\(x=\frac{150}{tan(72)}\)

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

The size of the decrease in mean PCB content from 1982 to 1996, based on the study, is estimated to be approximately 45.5, with a 95% confidence interval of (38.4, 52.6).

To calculate the confidence interval, we multiply the standard error by the appropriate critical value from the t-distribution. Since we do not know the exact sample size, we will use a conservative estimate and assume a sample size of 10. This allows us to use the t-distribution with n-1 degrees of freedom.

Using a t-distribution table or statistical software, the critical value for a 95% confidence interval with 10 degrees of freedom is approximately 2.228.

Confidence Interval = Mean Difference ± (Critical Value × Standard Error)

= 45.5 ± (2.228 × 3.2)

= 45.5 ± 7.12

Therefore, the 95% confidence interval for the size of the decrease in mean PCB content from 1982 to 1996 is approximately (38.4, 52.6).

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Complete Question:

PCBs have been in use since 1929, mainly in the electrical industry, but it was not until the 1960s that they were found to be a major environmental contaminant. In the paper “The ratio ofDDE to PCB concentrations in Great Lakes herring gull eggs and its use in interpreting contaminants data” [appearing in the Journal of Great Lakes Research 24 (1): 12–31, 1998], researchers report on the following study. Thirteen study sites from the five Great Lakes were selected. At each site, 9 to 13 herring gull eggs were collected randomly each year for several years. Following collection, the PCB content was determined. The mean PCB content at each site is reported in the following table for the years 1982 and 1996.

Site         1982                    1996                      Differences

1               61.48                    13.99                           47.49

2              64.47                     18.26                           46.21

3                45.5                     11.28                             34.22

4                59.7                      10.02                           49.68

5             58.81                       21                                  37.81

6              75.86                   17.36                                 58.5

Estimate the size of the decrease in mean PCB content from 1982 to 1996, using a 95% confidence interval.

The solution is given below.

A table in which the rows represent the categories for one category variable, the columns represent the categories of a second category variable and each cell displays the frequency (or proportion) resulting for that row and column combination for the two variables.

here, we have,

1. Positive association - direct relationship: increase = increase and vice versa

2. Scatterplot - scattered data

3. Bivariate data - two variables

4. Two-way table - displays two variables into rows and columns

5. Two-way relative frequency table - shows the relative frequencies in the table

6. Association - how sets of data are related

7. Negative association - reverse relationship: increase = decrease and vice versa

8. Relative frequency - frequency of a specific data value divided by the total number of data values

9. No association - no relationship

10. Strength of association

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It is given that,

→ Mary has 55 pens.

→ Frazer has 12 pens.

We have to,

find what is the difference.

The formula we use,

→ Mary's pens - Frazer's pens

Let's subtract,

→ 55 - 12

→ 43 pens

Hence, difference is 43 pens.

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4.

The probability that if you choose 2 people randomly from the 16 in the hospital, exactly one will need an x-ray is as follows:
Firstly, calculate the probability of choosing one person who needs an X-ray and one person who doesn't.

There are 4 people who need an x-ray and 12 who don't, so the probability for this is (4/16) * (12/15).

Now, calculate the probability of choosing one person who doesn't need an X-ray and one person who does. This is (12/16) * (4/15).

Now, add the probabilities to find the total probability.

The probability that exactly one person will need an x-ray is

(4/16) * (12/15) + (12/16) * (4/15) = 2/5

=0.4.

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The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

If there are 16 people in a hospital and 4 need an xray, the probability that if you choose 2 people randomly, exactly one will need an xray is 0.56.

Total number of people in a hospital = 16

Number of people who need an x-ray = 4

Thus, the probability that if you choose 2 people randomly, exactly one will need an x-ray is given by;

P(one needs an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one needs an x-ray) = (4 × 12) / 16 × 15

P(one needs an x-ray) = 0.08

P(one doesn't need an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one doesn't need an x-ray) = (12 × 4) / 16 × 15

P(one doesn't need an x-ray) = 0.32

Now, we have to add both the probabilities of exactly one person needing an x-ray and exactly one person not needing an x-ray;

P(exactly one person needs an x-ray) = P(one needs an x-ray) + P(one doesn't need an x-ray)

P(exactly one person needs an x-ray) = 0.08 + 0.32P(exactly one person needs an x-ray) = 0.4

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

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Answer:

In order to find out the equation of liner function first of all u need to find the slope of it (a) then put it in general form of liner functions, afterwards put desire point of x,y graph in equation to find the b.

form of liner function : y= ax+b

x<1 =>> -3x + 2

x ≥ 1 =>> x+1

what kind od sandwich  cost 12.36 and why would you leave a tip if it cost so much

also just add 12.36 plus 1.84

Answer: hey

Step-by-step explanation:

Answer:

x=42/5

Step-by-step explanation: