Please answer!
(1) what mistake was made?
(2) what suggestion could help avoid that?

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

The nth term of this sequence will be 2 raised to the power of 2 raised to the power of n - 2.

(a) Here, the sequence is formed as follows;

adding 3 to the previous term of the sequence and then the term number, n.

So, the nth term of this sequence will be n² + 2n.

Thus the next three terms are 123, 146, 171.

(b) Here, the sequence is formed as follows;

adding 4 to the previous term of the sequence.

So, the nth term of this sequence will be 4(n - 1) + 7. Thus the next three terms are 47, 51, 55.

(c) Here, the sequence is formed as follows;

For each integer in the list, convert it to binary. Drop the first digit from the first integer (since it is 1), then concatenate the resulting strings.

So, the nth term of this sequence will be the integer whose binary representation is obtained by concatenating the binary representation of the previous integer in the sequence with that of 1. Thus the next three terms are 1100, 1101, 1110.

(d) Here, the sequence is formed as follows;

the kth term of the sequence is the smallest prime number that has not yet appeared in the sequence, and then this prime number is repeated a number of times equal to the kth term of the sequence.

So, the nth term of this sequence will be the smallest prime number that has not yet appeared in the sequence for n - 1 times, repeated n - 1 times. Thus the next three terms are 7, 7, 7.

(e) Here, the sequence is formed as follows;

the kth term of the sequence is 2^(k-1) - 1.

So, the nth term of this sequence will be 3^n - 1.

Thus the next three terms are 59048, 177146, 531442.

(f) Here, the sequence is formed as follows;

the kth term of the sequence is the product of the first k odd primes.

So, the nth term of this sequence will be the product of the first n odd primes.

Thus the next three terms are 654729075, 12300270015015, 32589158477190044730.

(g) Here, the sequence is formed as follows;

the kth term of the sequence is the parity of the sum of the previous k terms.

So, the nth term of this sequence will be 1 if the number of 1s among the first n terms of the sequence is odd, and 0 otherwise. Thus the next three terms are 1, 1, 1.

(h) Here, the sequence is formed as follows;

the kth term of the sequence is 2 raised to the power of the kth term of the sequence that immediately precedes it.

So, the nth term of this sequence will be 2 raised to the power of 2 raised to the power of n - 2.

Thus the next three terms are 18446744073709551616, 3.402823669209385e+38, 1.1579208923731617e+77.

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The value of cos x is determined as g/h.

The value of cos x is calculated by applying trigonometry identity as follows;

in trig identity tan x = sin x / cos x

From the question, the value of tan x = 6/g, and

the value of sin x = 6/h

The value of cos x is calculated by applying the trig identity of tan x as follows;

tan x = sin x / cos x

cos x = sin x / tan x

cos x = (6 / h ) / (6/g)

cos x = 6/h x g/6

cos x = g/h

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Answer:48

Step-by-step explanation:

multiply 4 and 12

The distance from the point (1, −9, 5) to the plane 3x - 2y + 6z = 5 is approximately 9.2.

To find the distance from the point to the given plane (1, −9, 5), 3x - 2y + 6z = 5, we can use the formula for the distance between a point and a plane:

Distance = |ax + by + cz + d| / sqrt(a² + b² + c²)

where a, b, and c are the coefficients of the plane's equation, d is the constant term, and (x, y, z) are the coordinates of the point.

Let's begin by finding the coefficients and constant term of the plane's equation:

3x - 2y + 6z = 53x - 2y = -6z5/3x - 10/3y

= -2z + 5/3

a = 5/3, b = -10/3, c = -2, and d = 5/3

Now we can substitute the values of the point's coordinates and the plane's coefficients into the distance formula:

Distance = |(5/3)(1) + (-10/3)(-9) + (-2)(5) + (5/3)| / sqrt((5/3)² + (-10/3)² + (-2)²)

Distance = |5/3 + 30 + (-10) + 5/3| / sqrt(25/9 + 100/9 + 4)

Distance = 50 / sqrt(29) ≈ 9.2

Therefore, the distance from the point (1, −9, 5) to the plane 3x - 2y + 6z = 5 is approximately 9.2.

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Answer:

undefined

Step-by-step explanation:

Since the x value is the same, it looks like the slope is undefined.

Answer:  The slope is undefined

Step-by-step explanation:

Find the difference in the y coordinates and divide it by the difference in the x coordinates

y coordinates : 5 - 8 = -3  

x coordinates: -10 -(-10) = 0  

slope:  -3/0 = 0  

Answer:

20

Step-by-step explanation:

20*6=120

4*5=20

120-20=100

By applying the concept of central and extreme scores, it can be concluded that a score of x = 85 would be considered a central score in population 1, and an extreme score in populations 2 dan 3.

A central score is a score that is near the middle of the distribution, while an extreme score is a score that is far out in the tail of the distribution.

In order to determine whether a score of x = 85 is a central score or an extreme score for each of the following populations, we need to look at the distribution of scores in each population.

Overall, whether a score of x = 85 is considered a central score or an extreme score depends on the distribution of scores in the population. If the scores are evenly distributed and x = 85 is near the middle of the distribution, it would be considered a central score. However, if the scores are clustered around a different value and x = 85 is far out in the tail of the distribution, it would be considered an extreme score.

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Probability that none of them voted in the primary election: 0.45, Probability that only one of them voted in the primary election: 0.44, Probability that 2 of them voted in the primary election: 0.18, Probability that all three of them voted in the primary election: 0.04

To calculate these probabilities, we can use the binomial distribution formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where:
- n is the sample size (in this case, 3)
- k is the number of "successes" (in this case, voting in the primary election)
- p is the probability of success (in this case, 0.35)
Probability that none of them voted in the primary election:
P(X=0) = (3 choose 0) * 0.35^0 * (1-0.35)^(3-0) = 0.45
Probability that only one of them voted in the primary election:
P(X=1) = (3 choose 1) * 0.35^1 * (1-0.35)^(3-1) = 0.44
Probability that 2 of them voted in the primary election:
P(X=2) = (3 choose 2) * 0.35^2 * (1-0.35)^(3-2) = 0.18
Probability that all three of them voted in the primary election:
P(X=3) = (3 choose 3) * 0.35^3 * (1-0.35)^(3-3) = 0.04
So the probabilities are:
- Probability that none of them voted in the primary election: 0.45
- Probability that only one of them voted in the primary election: 0.44
- Probability that 2 of them voted in the primary election: 0.18
- Probability that all three of them voted in the primary election: 0.04

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Answer:

This is the answer i hope

We have to find the area of rectangle or triangle if triangle

Equation =1/2*length*Breadth

That is 1/2*13*8

=52

Answer:

104 sq. ft.

Step-by-step explanation:

Add the to heights and then multiply your base times height:

6+7=13

13x8= 104

Therefore, the critical F-value for the given scenario is 3.96.

To find the critical F-value, we need to use the F-distribution table or a statistical software.

Given:

Sample size for the numerator (numerator degrees of freedom) = 16

Sample size for the denominator (denominator degrees of freedom) = 10

Two-tailed test

Significance level = 0.02

Using these values, we can consult the F-distribution table or a statistical software to find the critical F-value.

The critical F-value is the value at which the cumulative probability in the upper tail of the F-distribution equals 0.01 (half of the 0.02 significance level) since we have a two-tailed test.

Using the degrees of freedom values (16 and 10) and the significance level (0.01), the critical F-value is approximately 3.96 (rounded to 2 decimal places).

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Answer: 65%

Step-by-step explanation:

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5 - 7(2 - x) = 31 - 4(2x - 5)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 19 does indeed equal 19.

∴ x = 4 is the solution to the equation.

Answer:

The two buildings would be 9/16 inches apart on the map

Step-by-step explanation:

Here, we want to get the distance between the two buildings

Let the us be x

From the question;

3/4 in = 80 miles

x in = 60 miles

x * 80 = 60 * 3/4

80x = 45

x = 45/80 = 9/16 in

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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Answer: b=10.

Step-by-step explanation: 5=b/2 b/2=5 2b/2=(5)(2) b=10

Expressions can be expressed as equations or as inequalities.

The difference is that the variables in a system of equation have one solution each, while in a system of inequalities, the variables have a range of values.

Let the system of equation be:

\(\mathbf{ax + by = c}\)

\(\mathbf{dx + ey = f}\)

Let the system of inequality be:

\(\mathbf{ax + by < c}\)

\(\mathbf{dx + ey > f}\)

Both systems can be solved using the same method, such as: graphs, substitution and elimination.

However, the difference is that:

In a system of equation, the variables can have one solution each, while in a system of inequalities, the variables have a range of values.

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A scenario that can be modeled by the linear function y = 25x + 40. is that "John owes a woman $40 and then bought 25 oranges at x dollars each. What is the total amount owed?"

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, John owes a woman $40 and then bought 25 oranges at x dollars each. What is the total amount owed?"

This can be illustrated as:

y = 25x + 40.

where y = total cost.

In conclusion, the scenario is illustrated above.

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An example of deductive reasoning is Most tulips grow to between 6 and 24 inches tall. Janelia concludes that the flowers in her garden will be shorter than 24 inches.

Deductive reasoning  can be described as the  mental process  that involves the  the act of drawing deductive inferences.

It should be noted that this inference can be valid in the case whereby   the  conclusion is seen to be in line with logic from its premises, hence option B is correct because it follows a logical sequesnce before amking a conclusion.

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Answer:

Step-by-step explanation:

It's C and E

Felix and The school's schedule

After answering the prοvided questiοn, we can cοnclude that Therefοre, equatiοn there are 26 twο-pοint questiοns and 16 three-pοint questiοns οn the test.

In mathematics, an equatiοn is a statement that implies the unity οf twο traits. An equatiοn cοnsists οf twο sides separated because οf an analytical sοlutiοn (=). Fοr instance, the debate "2x + 3 = 9" asserts that the remark "2x + 3" equals the valuatiοn "9". The gοal οf sοlving equatiοns is tο determine the amοunt οr values οf the variable in the mοdel) that wοuld allοw the equatiοn tο really be true.

Fοrmulae can be simple οr cοmplex, regular οr nοnlinear, and cοntain οne οr mοre variables. Fοr example, in the equatiοn "x² + 2x - 3 = 0," the variable x is elevated tο the secοnd pοwer. Lines are used extensively in mathematics, including algebra, equatiοns, and geοmetry.

Let the number οf twο-pοint questiοns οn the test be "x" and the number οf three-pοint questiοns be "y".

\(x+y=42\)

\(2x+3y=100\)

\(x+y=42\)

\(x=42-y\)

\(2(42-y)+3y=100\)

\(84-2y+3y=100\)

\(Y=16\)

\(x+y=42\)

\(x+16=42\)

\(x=26\)

Therefore, there are 26 two-point questions and 16 three-point questions on the test.

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The given function is not the odd function.

According to the statement

We have to find about the odd function.

So, For this purpose, we know that the

The odd function is that the function f is odd if the subsequent equation holds for all x and −x within the domain of f : −f(x)=f(−x) − f ( x ) = f ( − x ) Geometrically, the graph of an odd function has rotational symmetry with relevance the origin, meaning that its graph remains unchanged after a rotation of 180∘ about the origin.

From the given information:

dimetri says that a function that's fabricated from terms where the variable is raised only to an odd power are going to be an odd function

Then

Algebraically, an odd function is one where f(-x) = -f(x). this suggests that if we substitute -x for each x within the function, it should be the identical as switching every sign up the function. This doesn't always work.

For example, if f(x)=x³+7:

f(-x)=(-x)³+7=-x³+7.

However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.

So, The given function is not the odd function.

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Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

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

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

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

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

In inferential statistics, before administering an independent variable, means from each group in the study are assumed to be equal or similar.

In inferential statistics, researchers often compare groups to determine whether there are significant differences between them. Before administering an independent variable, which is a variable that is manipulated by the researcher, it is generally assumed that the means of each group are equal or similar. This assumption allows for a fair and unbiased comparison between groups. By assuming equal means, researchers can then analyze the data using statistical tests to determine if there are significant differences between the groups after administering the independent variable.

The assumption of equal means serves as a starting point for hypothesis testing and helps researchers assess the impact of the independent variable on the dependent variable. If there were already significant differences in means before administering the independent variable, it would be difficult to attribute any observed differences solely to the independent variable. Therefore, assuming equal means before the manipulation of the independent variable ensures that any subsequent differences can be more confidently attributed to the variable being tested. This assumption allows researchers to draw valid conclusions and make informed decisions based on the results of their statistical analyses.

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The maximum value of f(x, y) over the feasible region is 159, and the minimum value is 13.

f max = 159

f min = 13

To determine the global extreme values of the function f(x,y) = 11x - 5y subject to the given constraints, we need to find the maximum and minimum values of f(x,y) over the feasible region.

First, we can find the corner points of the feasible region by solving the system of inequalities:

y ≥ x - 9

y ≥ -x - 9

y ≤ 6

The intersection points of the lines y = x - 9, y = -x - 9, and y = 6 are:

(-3, -12), (3, -6), (15, 6)

We also need to check the extreme points on the boundary of the feasible region.

Along the line y = x - 9, the maximum and minimum values of f(x,y) occur at the endpoints of the segment: (3, -6) and (15, 6).

f(3,-6) = 11(3) - 5(-6) = 63

f(15,6) = 11(15) - 5(6) = 159

Along the line y = -x - 9, the maximum and minimum values of f(x,y) occur at the endpoints of the segment: (-3, -12) and (3, -6).

f(-3,-12) = 11(-3) - 5(-12) = 47

f(3,-6) = 11(3) - 5(-6) = 63

Finally, we need to check the point where y = 6, which is (x,y) = (3,6).

f(3,6) = 11(3) - 5(6) = 13

To determine the global extreme values of the function f(x,y) = 11x - 5y, we need to analyze the given constraints:

1. y ≥ x - 9

2. y ≥ -x - 9

3. y ≤ 6

These constraints define the region within which we are looking for extreme values.

We can find these values by examining the function at the corner points and along the boundary lines of the region. The corner points are:

A. (0, -9) - Intersection of y = x - 9 and y = -x - 9

B. (3, 6) - Intersection of y = x - 9 and y = 6

C. (-3, 6) - Intersection of y = -x - 9 and y = 6

Now, we evaluate the function at these corner points:

f(A) = 11(0) - 5(-9) = 45

f(B) = 11(3) - 5(6) = 3

f(C) = 11(-3) - 5(6) = -57

Next, we analyze the function along the boundary lines by solving for the gradient of the function:

∇f(x, y) = (11, -5)

Since the gradient is a constant and does not depend on x or y, there are no additional extreme values along the boundary lines.

Now, we compare the function values at the corner points to find the global maximum and minimum:

f_max = 45 (at point A)

f_min = -57 (at point C)

In conclusion:

f max = 45, f min = -57

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The answer to these questions is "7," but before we get there, let's define the instantaneous rate and its further computation.

A rate at a specific time is called an immediate rate.The negative ball of the reactant concentration curve with respect to time t is calculated by calculating the pitch of the product amounting with respect to time t.

Given:

at X = 3

y = 21 according to the graph.

In light of this, given that X = 3 and the instantaneous rate of changes,

that is half.

Consequently, y/x = 21/3 = 7 is the instantaneous rate of change.

The final response is "7," as a result.

The answer to these questions is "7," but before we get there, let's define the instantaneous rate and its further computation.

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The factorized expressions are t^2 + 8t – 9 = (t - 1)(t + 9), 2b^2 – 16b – 18 = (2b - 1)8(b + 1), 36f^2 – 21f – 36 = (9f - 12)(4f + 3) and 24x^2 – 6 = 6(2x – 1)(2x + 1)

Expression 1

Here, we have

t^2 + 8t – 9

Expand the expression

t^2 + 8t – 9 = t^2 + 9t - t – 9

Factorize the expression

t^2 + 8t – 9 = t(t + 9) - 1(t + 9)

This gives

t^2 + 8t – 9 = (t - 1)(t + 9)

Expression 2

Here, we have

2b^2 – 16b – 18

Expand the expression

2b^2 – 16b – 18 = 2b^2  + 2b – 18b – 18

Factorize the expression

2b^2 – 16b – 18 = 2b(b + 1) – 18(b + 1)

This gives

2b^2 – 16b – 18 = (2b - 1)8(b + 1)

Expression 3

Here, we have

36f^2 – 21f – 36

Expand the expression

36f^2 – 21f – 36 = 36f^2 + 27f - 48f - 36

Factorize the expression

36f^2 – 21f – 36 = 9f(4f + 3) - 12(4f + 3)

This gives

36f^2 – 21f – 36 = (9f - 12)(4f + 3)

Expression 4.

Here, we have

15m^2 – 42m – 3

The expression cannot be factorized

Expression 5.

Here, we have

24x^2 – 6

Factor out 5

24x^2 – 6 = 6(4x^2 – 1)

Apply the difference of two squares

24x^2 – 6 = 6(2x – 1)(2x + 1)

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Answer:

One-sample t-test on paired data.

Step-by-step explanation:

Here, two different measures or reading were obtained for the two treatment (fluoride vanish) and the control (no fluoride vanish). However, this two measurement were obtained from each of the observations or subjects, hence why it is called one sample t-test on paired data. This would allow the effectiveness of the floiride vanish treatment on each the subjects teeth as we'll have two different data (fluoride vanish treatment) and control treatment on each the subjects employed for the study.

Answer:

Are you in Ms. Weiss class

Step-by-step explanation:

The given statement " A discrete function can have intervals like x>3 as its domain", is a false statement.

Given that,
To justify whether the given statement is true or false.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
A discrete function can have intervals like x>3 as its domain. is false because the domain of the discrete function has been written in the set value form. Thus, the givn statemnet is false.

Hence, the given statement " A discrete function can have intervals like x>3 as its domain", is a false statement.

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Answer:

45:18:36

Step-by-step explanation:

\(99 = 5x +2x+4x\\99=11x\\x=9\\\)

substitute x back into 5x:2x:4x

Therefore, 99 in the ratio of 5:2:4...

45:18:36

True

The statement "A system composed of two linear equations must have at least one solution if the straight lines represented by these equations are nonparallel," is true.

What is a system of linear equations?

In algebra, a system of linear equations is a collection of two or more linear equations with the same variables.

If these linear equations represent two or more lines that aren't parallel, the equations are said to form a system of equations with at least one solution.

The intersection of the lines is the location where an equation system has a solution.

Two lines are parallel if they have the same slope and never intersect.

If two lines have different slopes, they are nonparallel and intersect at a point.

How can one tell if a statement is true or false?

If a claim can be verified by evidence, logic, or reason, it can be considered true.

On the other hand, a statement is false if it is inaccurate or misleading, or if it contradicts existing facts, logic, or reason.

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