Put the steps in order?

Answer:

\(y=-\frac{4}{3}x+20\)

Step-by-step explanation:

stupid enough

y=mx+b

\(\frac{y1-y2}{x1-x2}\)

slope = 16-12/3-6

-4/3

\(y=-\frac{4}{3}x+b\)

plug in x and y

16=-4/3(3)+b

b=20

Answer:

A.

Step-by-step explanation:

since we are using the absolute value this means the result to be between 0 and 3.

the difference to C. is that the endpoints are not included (empty dots). that is correct, because the inequality uses the "<" sign. being equal to 3 is not valid.

but any real number higher than 2 and lower than 8 will provide a valid solution.

the higher or lower numbers used in B. and D. will not create anything between 0 and 3.

Answer:

A

Step-by-step explanation:

The given statement "High multicollinearity will not bias our coefficient estimates, but will increase the variance of out estimates." is true because high multicollinearity occurs when two or more predictor variables in a multiple regression model are highly correlated with each other.

This can cause problems in the estimation of the regression coefficients because it makes it difficult to determine the separate effects of each predictor variable on the outcome variable. However, high multicollinearity does not bias the coefficient estimates themselves.

Instead, high multicollinearity increases the variance of the coefficient estimates, which can lead to less precise or less stable estimates of the coefficients. This means that the coefficients may vary greatly in different samples, making it more difficult to draw conclusions about the relationship between the predictors and the outcome variable.

Therefore, it is important to detect and address high multicollinearity in a multiple regression analysis to obtain more reliable and accurate coefficient estimates.

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If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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The estimated age of the archaeological sample  as calculated from the given data is  = 2622.58333 years

Half life given is 5730

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate constant ,

k = 0.00012 year⁻¹

Given that 73 % of the 14C remains

then |A1|/|A2|  = 0.73

As we know ,

|A1|/|A2| = e ⁻₍kt₎

Hence, on solving the equation we get ,

ln(0.73)= -0.00012t

t = -0.31471/ -0.00012

 = 2622.58333 years

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay.

For example, the medical sciences refer to the biological half-life of drugs and other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time.

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Answer:

D. 44 dm³

Step-by-step explanation:

Volume of cuboid equals:

a × h

4 × 11

= 44

The volume of the shape is 44 dm³.

Answer:

Step-by-step explanation:

no

it's 15 because 5 x 3 is 15- in Spanish it's

Answer:

f(4) is 1/2

f(x)= 4 when x is 8

Each friend will get 48 books. The solution is obtained using arithmetic operations.

What are arithmetic operations?

There are four basic operations which are listed as follows:

Now, Tara has 3 boxes of books and each box contains 48 books.

So, the total books that Tara has is equal to 3×48= 144.

Thus, Tara has total 144 books.

Tara divides the books among 3 friends.

So, the number of books that each friend will get is equal to 144÷3= 48

Hence, each friend of Tara will get 48 books.

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Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = \(\frac{2}{3} \pi r^{3}\)

1527.4 = \(\frac{2}{3} * \frac{22}{7} * r^{3}\)

\(\frac{7*15274*3}{2*22*10}\) = \(r^{3}\)

\(\frac{320754}{440}\) = \(r^{3}\)

\(r^{3}\) = 729

r = \(\sqrt[3]{729}\)

r = 9 cm approx.

Main Answer:If the statement P(n) is true for infinitely many positive integers, and the implication P(n + 1)P(n) is true for all n1, then P(n) is true for all positive integers.

Supporting Question and Answer:

How can we prove that if the statement P(n) is true for infinitely many positive integers and the implication P(n + 1)P(n) is true for all n ≥ 1, then P(n) is true for all positive integers?

We can prove this by contradiction, assuming there exists a positive integer k for which P(k) is false, and then demonstrating a contradiction by showing that P(n) must be true for all positive integers.

Body of the Solution:To prove that if the statement P(n) is true for infinitely many positive integers and the implication P(n + 1)P(n) is true for all n ≥ 1, then P(n) is true for all positive integers, we can use a proof by contradiction.

Assume that there exists a positive integer k for which P(k) is false. Let S be the set of positive integers for which P(n) is false. Since k is in S, S is non-empty.

Since P(n) is true for infinitely many positive integers, there must exist a smallest element m in the set of positive integers for which P(m) is true. As P(m) is true, P(m + 1)P(m) is also true based on the given implication.

Since P(m + 1)P(m) is true, either P(m + 1) is true or P(m) is true. If P(m + 1) is true, then m + 1 would be a smaller positive integer for which P(m + 1) is true, which contradicts the assumption that m is the smallest such positive integer. Therefore, P(m) must be true.

Now, we have shown that P(m) is true, where m is the smallest positive integer for which P(m) is true. This implies that P(n) is true for all positive integers less than or equal to m, as P(n + 1)P(n) is true for all n ≥ 1.

However, since P(m) is true, we also have P(m + 1)P(m) is true, which implies that P(m + 1) is true. By extending this reasoning, we can conclude that P(n) is true for all positive integers greater than m.

Hence, we have reached a contradiction. We assumed that there exists a positive integer k for which P(k) is false, but we have shown that P(n) is true for all positive integers greater than or equal to m. Therefore, our assumption must be false.

Consequently, we can conclude that if the statement P(n) is true for infinitely many positive integers and the implication P(n + 1)P(n) is true for all n ≥ 1, then P(n) is true for all positive integers.

Final Answer:Therefore,we can conclude that if the statement P(n) is true for infinitely many positive integers and the implication P(n + 1)P(n) is true for all n ≥ 1, then P(n) is true for all positive integers.

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If the statement P(n) is true for infinitely many positive integers, and the implication P(n + 1)P(n) is true for all n1, then P(n) is true for all positive integers.

How can we prove that if the statement P(n) is true for infinitely many positive integers?

We can prove this by contradiction, assuming there exists a positive integer k for which P(k) is false, and then demonstrating a contradiction by showing that P(n) must be true for all positive integers.

To prove that if the statement P(n) is true for infinitely many positive integers and the implication P(n + 1)P(n) is true for all n ≥ 1, then P(n) is true for all positive integers, we can use a proof by contradiction.

Assume that there exists a positive integer k for which P(k) is false. Let S be the set of positive integers for which P(n) is false. Since k is in S, S is non-empty.

Since P(n) is true for infinitely many positive integers, there must exist a smallest element m in the set of positive integers for which P(m) is true. As P(m) is true, P(m + 1)P(m) is also true based on the given implication.

Since P(m + 1)P(m) is true, either P(m + 1) is true or P(m) is true. If P(m + 1) is true, then m + 1 would be a smaller positive integer for which P(m + 1) is true, which contradicts the assumption that m is the smallest such positive integer. Therefore, P(m) must be true.

Now, we have shown that P(m) is true, where m is the smallest positive integer for which P(m) is true. This implies that P(n) is true for all positive integers less than or equal to m, as P(n + 1)P(n) is true for all n ≥ 1.

However, since P(m) is true, we also have P(m + 1)P(m) is true, which implies that P(m + 1) is true. By extending this reasoning, we can conclude that P(n) is true for all positive integers greater than m.

Hence, we have reached a contradiction. We assumed that there exists a positive integer k for which P(k) is false, but we have shown that P(n) is true for all positive integers greater than or equal to m. Therefore, our assumption must be false.

Consequently, we can conclude that if the statement P(n) is true for infinitely many positive integers and the implication P(n + 1)P(n) is true for all n ≥ 1, then P(n) is true for all positive integers.

Therefore, we can conclude that if the statement P(n) is true for infinitely many positive integers and the implication P(n + 1)P(n) is true for all n ≥ 1, then P(n) is true for all positive integers.

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pasensya naka limutan kona

We know that

So, we can see that g(x) is f(x) reflected in the x-axis. But, it has another change which is a downward movement in 3 units.

So, we can deduce that

Sketch of the situation:

When you reflect f(x) in the x-axis, you obtain something like -f(x).

We can see that -f(x) intersect the y-axis in -1. But, g(x) intersect the y-axis in -4.

So, we need to move the function 3 units down. Whe we make the movement the graph will intersect the y-axis in -4 because -1-3=-4.

Answer: 70%

Step-by-step explanation:

Please tell me if I am wrong.

Answer:

y=1/3x-3

Step-by-step explanation:

The 51st term of the arithmetic progression is -149 if the t(7) = -17 and t(19) = -53 option (D) -149 is correct.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

t(7) = -17

t(19) = -53

t(7) = a + 6d = -17

t(19) = a + 18d = -53

The above two equation representing the linear equation in two variables.

Solving by substitution method.

a = 1

d = -3

t(51) = a + 50d

t(51) = 1 + 50(-3)

t(51) = 1-150

t(51) = -149

Thus, the 51st term of the arithmetic progression is -149 if the t(7) = -17 and t(19) = -53 option (D) -149 is correct.

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The scale factor of triangle PQR to triangle STU is 3/2

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

Taking a point of reference say PR and SU

PR = 8

SU = 12

let the scale factor be r such that

8 * r = 12

r = 12 / 8

r  = 3/2

checking with other sides

PR to UT

6 * 2/3 = 9 correct

QP to TS

10 * 3/2 = 15 correct

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The value of k from the equation is k = -20

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = kx   be equation (1)

Let the first point be P ( 4 , -80 )

Substituting the values in the equation , we get

-80 = 4k

Divide by 4 on both sides of the equation , we get

k = - ( 80/4 )

On simplifying the equation , we get

k = -20

Hence , the equation is k = -20

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Answer:

4

Step-by-step explanation:

Try 2: 6 + 3(2) = 4(2) + 2

6 + 6 = 8 + 2   No

Try 3: 6 + 3(3) = 4(3) + 2

6 + 9 = 12 + 2   No

Try 4: 6 + 3(4) = 4(4) + 2

6 + 12 = 16 + 2, 18 = 18 YES

4

Step-by-step explanation:

6+3y=4y+2

6=4y-3y+2

6=y+2

6-2=y

4=y

Answer:

The answer is 77

False. A line graph typically shows the relationship between two variables.

It is a useful visualization tool for displaying trends or patterns in data over time or across different categories. The x-axis represents the independent variable or the variable being manipulated or controlled, while the y-axis represents the dependent variable or the variable being measured or observed. Each point on the line graph represents the value of the dependent variable corresponding to a specific value of the independent variable.

However, a line graph cannot directly represent the relationship between three variables.

Therefore, the given statement is false. A line graph typically shows the relationship between two variables.

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Complete question is below

A line graph shows the relationship between three variables true or false

Step-by-step explanation:

multiply and the both number and divide by bytwo

Answer:

1/15 or approximately 0.067 or 6.7%.

Step-by-step explanation:

The total number of marbles in the bag is 3+2+4+1=10.

The probability of pulling a red marble on the first draw is 3/10, since there are 3 red marbles out of 10 total marbles.

Since we are not replacing the marble after each draw, the probability of pulling another red marble on the second draw decreases slightly. After one red marble has been drawn, there are only 2 red marbles left out of 9 total marbles. So the probability of pulling a second red marble is 2/9.

Therefore, the theoretical probability of pulling two red marbles without replacement is:

P(Red, Red) = P(Red on first draw) x P(Red on second draw, given that the first marble was red)

= 3/10 x 2/9

= 1/15

So the theoretical probability of pulling a red marble without replacement is 1/15 or approximately 0.067 or 6.7%.

The value of the theoretical probability of pulling a red marble without replacement is,

= 3/10

= 0.3

= 30%

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A bag has 3 red marbles, 2 blue, 4 green and 1 yellow.

Hence, Total marbles = 3 + 2 + 4 + 1 = 10

Thus, The value of the theoretical probability of pulling a red marble without replacement is,

P = Desired Outcomes / Total number of outcomes.

P = 3 / 10

P = 0.3

P = 30%

Thus, The value of the theoretical probability of pulling a red marble without replacement is,

= 3/10

= 0.3

= 30%

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Answer:

\(a_{n}=2+3(n-1)\)

Step-by-step explanation:

Step 1. To find the equation that describes the pattern, we use the arithmetic sequence formula:

\(a_{n}=a_{1}+d(n-1)\)

Where a_n is the n'th terms and d is the common ratio between the numbers.

Step 2. The sequence we have is:

2 5 8 11

The first term is:

\(a_{1}=2\)

And the common ratio or the difference between consecutive numbers is:

3 2+3=8 5+3=8  8+3=11

This will be the value of d:

d=3

Step 3. Substituting a_1 and d into the formula:

\(a_{n} =a_{1}+d(n-1)\\a_{n}=2+3(n-1)\)

This is the equation that represents the number pattern, it represents that we add three each time to the previous number in the sequence.

Hence, the correct answer is \(a_{n}=2+3(n-1)\)



Answer:

\(\frac{44}{105} \)

Step-by-step explanation:

\( \frac{4}{7} \times \frac{11}{15} = \frac{4 \times 11}{7 \times 15} = \frac{44}{105} \)

The aircraft works when at least one of its components works

Probability of failure, f = 0.0056

Probability of success, s = 1 - 0.0056 = 0.9944.

If we suppose that all the three components fail, the probability of this event will be:

If we round this to the 8th decimal place, this is:

0.0000002