hi! i need help checking these problems!!
1) 12x + 9 = -15 i know the answer i just need help checking!
2) x/7 - 4 = 4 same with this i need help checking it!

8x + 4y + (−8)z = 0.

To find an equation for the plane containing the two parallel lines v1 = (0, 1, −6) t(8, 5, −2) and v2 = (6, −1, 0) t(8, 5, −2), use the equation of a line: v = v₀ + tv₁ where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −6) + t(8, 5, −2)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y + (−6)z = D

8x + 5y + (−2)z = D

Subtracting the two equations:

8x − 0x + 5y − 1y + (−2)z − (−6)z = 0

8x + 4y + (−8)z = 0

Therefore, the equation of the plane containing the two parallel lines v1 = (0, 1, −6) t(8, 5, −2) and v2 = (6, −1, 0) t(8, 5, −2) is 8x + 4y + (−8)z = 0.

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The answer to 1/5 + 2/5 is 3/5

Answer:

y=x/5

Step-by-step explanation:

The probability that 2 containers will contain less than 2 defects is approximately 0.005184 or 0.5184%.%

We can solve this problem using the Poisson distribution. Let X be the number of defects on a product container, which is Poisson distributed with a mean of λ = 4.3.

To find the probability that a container has less than 2 defects, we can use the Poisson probability mass function:

P(X < 2) = P(X = 0) + P(X = 1)

The probability of X = 0 is:

\(P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.3) ≈ 0.013\)

The probability of X = 1 is:

\(P(X = 1) = e^(-λ) * λ^1 / 1! = e^(-4.3) * 4.3 / 1 ≈ 0.059\)

Therefore, the probability that a randomly chosen container will have less than 2 defects is:

P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.013 + 0.059 = 0.072

So, the probability that 2 containers will contain less than 2 defects is:

\(P(X_1 < 2 and X_2 < 2) = P(X < 2)^2 ≈ 0.072^2 = 0.005184\)

Therefore, the probability that 2 containers will contain less than 2 defects is approximately 0.005184 or 0.5184%.

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Answer:

C. 2027.4 m^3

Step-by-step explanation:

volume = (1/3) · π · r^2 · h

volume = (1/3) · π · 8.8^2 * 25

volume = (1/3) · π · 1936

volume = (1/3) · 1936π

volume = 2027.4 m^3

If 6 persons can complete a work in 18 days, the time taken by 18 persons to finish the same work can be calculated using the concept of "person-days."

The product of the number of persons and the number of days represents the total person-days required to complete the work. By keeping the total person-days constant, we can find the new time taken by 18 persons to finish the work.

In this case, the work requires 6 persons working for 18 days, resulting in a total of 6 x 18 = 108 person-days. Since the total person-days required to complete the work remain constant, we can find the new time taken by 18 persons.

Let's denote the new time taken as "t." We can set up the equation as 18 x 6 = t x 18, where 18 represents the number of days taken by the new group of 18 persons. Solving this equation, we find that t = 6 days. Therefore, it would take 18 persons 6 days to finish the same work.

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mass of the penny in pounds is 0.00220462 pounds.

To explain this, we can use unit analysis to convert the mass from grams to pounds. We know that there are 453.592 grams in one pound, so we can set up a conversion factor:
1 pound / 453.592 grams
To convert the mass of the penny in grams to pounds, we can multiply the given value by this conversion factor:
( X grams ) * ( 1 pound / 453.592 grams )
Simplifying this expression, the grams unit cancels out, leaving us with the mass of the penny in pounds:
( X / 453.592 ) pounds
Plugging in the given mass of the penny in grams, we get:
( Y grams ) * ( 1 pound / 453.592 grams ) = ( Y / 453.592 ) pounds

the mass of the penny in pounds is ( Y / 453.592 ) pounds, which is approximately 0.00220462 pounds.

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Step-by-step explanation:

7(4)-3=25

i hope it will help

A. J. Lawrance's article sheds light on the concepts of conditional and partial correlation, emphasizing their differences and importance in statistical analysis.

The article titled "On Conditional and Partial Correlation" by A. J. Lawrance, published in The American Statistician in 1976, discusses the concepts of conditional correlation and partial correlation. The main focus of the paper is to explain the difference between these two correlation measures.

Conditional correlation refers to the relationship between two variables while holding a third variable constant. It helps in understanding how the correlation between two variables changes when a third variable is taken into account.

On the other hand, partial correlation measures the strength and direction of the relationship between two variables after removing the influence of other variables.

The author emphasizes that conditional correlation and partial correlation are related but distinct concepts. While conditional correlation considers the correlation between two variables given a third variable, partial correlation quantifies the relationship between two variables by removing the effects of other variables.

The article provides mathematical formulas and explanations to illustrate the calculations of conditional and partial correlations. It highlights the importance of considering these measures in statistical analysis to better understand the underlying relationships between variables.

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Answer:

\(a_{n}\) = 4n + 3

Step-by-step explanation:

There is a common difference d between consecutive terms , that is

d = 11 - 7 = 15 - 11 = 19 - 15 = 4

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 4 , then

\(a_{n}\) = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3

I don't get it, answer what???

Answer: 1/16

Step-by-step explanation: It's important to understand that the two spins are called independent events because the outcome of the first spin does not affect the outcome of the second spin.

To find the probability of independent events, we first find the probability of each event, then we multiply the probabilities together.

Since there is one 4 on the spinner and four possible outcomes, each of which is equally likely, the probability of spinning a 4 is 1/4.

This mens that 1/4 is the probability of

getting a 4 on the second spin too.

Now we multiply.

1/4 x 1/4 gives us 1/16.

So the probability of spinning a 4 twice is 1/16.

The total number of apple pies is 22 and the total number of blueberry pies is 17.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.

Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.

The linear equation that represents the total number of pies is:

x + y = 39

x = 39- y   --- (1)

The linear equation that represents the total amount collected is:

10x + 14y = 458--- (2)

Substitute the value of 'x' in equation (2).

10(39- y) + 14y = 458

y = 17

Then Substitute the value of 'y' in the equation (1).

x = 39 - 17

x = 22

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The value of Tan I given the opposite and hypotenuse of the triangle is 4/3.

Hypotenuse = 10

Opposite = 8

Adjacent = ?

Adjacent² = Hypotenuse² - opposite²

= 10² - 8²

= 100 - 64

Adjacent ² = 36

Adjacent = √36

= 6

Tan I = opposite / adjacent

= 8/6

Tan I = 4/3

Therefore, tan I given as fraction in its simplest form is 4/3.

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Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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Answer:

4.331507 x 10⁶

Step-by-step explanation:

you move the decimal place 6 times to the right, so 10⁶

Answer:

Step-by-step explanation:

4,331,507=4.331507×10^6

The tables which represent y as a function of a and are one-to-one are Y = 9 and Y = 7.

A function is a mathematical concept that relates each element of a set to a single output value. The input value is the value of the independent variable, while the output value is the value of the dependent variable. A function f(x) = y can be represented in a table with two columns, one for x and one for y.Each value of x corresponds to a unique value of y in a one-to-one function, i.e. no two values of x have the same output value. It means that each element of the domain corresponds to a unique element of the range. The tables Y = 9 and Y = 7 both represent one-to-one functions because each input value of a corresponds to a unique output value of y. Therefore, the correct answer is Y = 9 and Y = 7.

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A function that models the brightness of the star as a function of time is

M = -.35 sin (t • pi/2.7) + 4.4

First, let's create a table to find when the star will be at its maximum, minimum and its average, and what direction the magnitude will be moving at that time.

t = 0, M = 4.4 +

t = 1.35, M = 4.75 -

t = 2.7, M = 4.4 -

t = 4.05, M = 4.05 +

t = 5.4, M = 4.4 +

t = 6.75, M = 4.75 -

The t=0, entry is given by the parenthetical.  The period is given as 5.4 days (the time between the start of each cycle), so the star will reach its maximum at 1.35 days, return to average at 2.7 days, reach its minimum at 4.05 days, return to average at the period interval, 5.4 days, and then reach maximum again in 6.75 days.  The difference between 6.75 and 1.35 days (the time between maximums) is 5.4 days, as required.

There are many functions that might be chosen, I would choose a sine or cosine function.  The choice between sine and cosine is usually best done on whether you want the initial value of the function to be 0 (sine) or 1 (cosine).  Here, we start at the average value, so we are better off starting with sine.  The amplitude of the sine function needs to be the change from the average value (positive or negative) or .35, since the sine of 0, pi, 2pi, 3pi ... is 0, we need to move the center line of the sine function up by 4.4, the average value of the magnitude.  Finally, we need multiply the time value in order to adjust the time into the appropriate radian measure for the 5.4 day period.  So we want

0 days -> 0 radians

1.35 days -> pi/2 radians

2.7 days -> pi radians

4.05 days -> 3pi/2 radians

5.4 days -> 2pi radians

So we need to divide each time value by half the period (2.7) and multiply it by pi or pi/2.7.

Thus, the best sinusoidal equation is

M = .35 sin (t • pi/2.7) + 4.4

This assumes that a magnitude of 4.75 is brighter than 4.4, which would be brighter than 4.05.  If magnitude works the other way, then all you need to do is change the sign or the equation, i.e.

M = -.35 sin (t • pi/2.7) + 4.4

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Answer:

-23

Step-by-step explanation:

-31 + |-8|

|-8| = 8

-31 + 8 = -23

I hope this helps!

Answer:

-23

Step-by-step explanation:

|-8| = 8 so you so -31 + 8+ -23 :)

I’m in 7th grade :)

The z-score of apple price of $7.99/lb is 0.66

Probability is a measure of the possibility of an event occurring.

The likelihood could range from 0 to 1, where 0 indicates an impossibility and 1 indicates a certainty.

Every event in a sample space has an overall probability of one.

The probability that the apple price is less than or equal to $7.99 / lb can be calculated using the normal distribution method

                                   P(x ≤ 5.99)

The standard form of the given random sample can be found using the formula,

                               Z = (X - μ) / σ

where Z is the standard score

          X is the random sample

          μ is the mean

          σ is the standard deviation.

For x =7.99,

                  Z = (7.99 - 5.99) / 2.99

                      = 2 / 2.99

                  Z  = 0.66

Therefore, by standardizing the random sample, we get

              P(x ≤ 5.99) = P( z ≤ 0.66)

By using the z-table, we get the value of z

            P(z ≤ 0.66) = 0.7454

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The correct answer is A. The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then −5 is an eigenvalue of A. In order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ−5. This is because the eigenvalues of a matrix A are the roots of its characteristic polynomial, which is given by det(A-λI) where I is the identity matrix.

If λ+5 is a factor of the characteristic polynomial, then det(A-(λ+5)I)=0. This implies that A has an eigenvector corresponding to eigenvalue -(λ+5), which is -5 in this case. Therefore, 5 is not necessarily an eigenvalue of A. Moreover, the diagonal of A-λI contains the eigenvalues of A, not λ+5 as mentioned in option B. Option C is also incorrect because having λ+5 as a factor of the characteristic polynomial does not necessarily mean that λ=5 is a root of the polynomial. Option D is also incorrect because the factors of the characteristic polynomial are used to determine both the eigenvalues and eigenvectors of a matrix.

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The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then it means that λ=-5 is an eigenvalue of A, not 5. This is because the characteristic polynomial is defined as det(A-λI), where I is the identity matrix and det is the determinant function. Setting λ+5 as a factor means that det(A-(-5)I) = 0, which implies that -5 is an eigenvalue of A.

Therefore, in order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ-5, not λ+5. It is also important to note that while the characteristic polynomial is useful for determining both the eigenvalues and eigenvectors of a matrix, the factors of the polynomial only determine the eigenvalues, not the eigenvectors.

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Answer: 211200

Step-by-step explanation: Ok so assuming you are asking how many feet you travel per hour going 40 mph. You would travel 211200. There are 5280 ft in a mile. If you multiply that by 40 you get 211200. So you travel 211200ft per hour

Answer:

Exact Form:

163 /859

Decimal Form:

0.18975552 969

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

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The recipe for Lindsay's cookies yields 6 dozen cookies and calls for 4.5 cups of flour. Lindsay has 3 cups of flour, Lindsay will have enough to make 4 dozen. She will require 3/4 cup of flour to make 12 cookies.

Here we will use the concept of arithmetic.

The study of numbers and their relationships using various properties and their application to solving examples is known as arithmetic.

The word "arithmetic" is derived from the Greek word "arithmos," which means numbers. One of the oldest and most basic concepts in mathematics is arithmetic. It is all about numbers and the fundamental operations that can be carried out on them (addition, subtraction, multiplication, and division).

If 4.5 cups yield 6 dozen cookies,

then 1 cup yields 6/4.5 = 4/3.

Additionally, 3 cups of flour will yield 12 cookies, or 3 x 4/3 = 4.

And 3 cups of flour are used to make 4 dozen cookies.

Then, 3/4 cup of flour is used to make 12 cookies.

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Answer:

676000

Step-by-step explanation:

3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000

On solving, we get the value of m as 22.5.

The given equation is `4(2m+5)-39 = 2(3m-7)`

Solving the equation, we get;`

8m + 20 - 39 = 6m - 14

`Adding 14 to both sides of the equation and combining like terms, we get;

`8m - 6m = 39 + 20 - 14`

Simplifying the above equation, we get;`

2m = 45

`Dividing both sides of the equation by 2, we get the value of m as;`

m = 22.5.

`Hence, the correct answer is - 22.5.

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