If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x 2 +7g, left parenthesis, x, right parenthesis, equals, x, squared, plus, 7, which of the following is equal to f(g(x))f(g(x))f, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis ?

The Z-score for 12 is -0.83.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The formula for calculating the Z-score of a data point x in a sample with mean μ and standard deviation σ is:

Z = (x - μ) / σ

Substituting the given values, we get:

Z = (12 - 17) / 6

Z = -0.83 (rounded to two decimal places)

Therefore, the Z-score for 12 in the given sample of data values is -0.83 (to the nearest 0.01).

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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The formula for the nth term of an arithmetic sequence is an = a1 + (n-1)d.

In an arithmetic sequence, the common difference is constant.

In finding the missing term or nth term of an arithmetic sequence, a refers to the term.

If the common difference between consecutive terms is negative, the sequence is decreasing.

In a geometric sequence, each term after the first can be obtained by multiplying the preceding term by a fixed constant.

Another term for a geometric sequence is a geometric progression.

To find the common ratio of the geometric sequence 9, -27, 81, -243, we divide each term by the preceding term:

-27/9 = -3

81/-27 = -3

-243/81 = -3

The common ratio is -3.

To find the three consecutive terms of a sequence with a1 = -11 and r = 3:

a1 = -11

a2 = a1 * r

= -11 * 3

= -33

a3 = a2 * r

= -33 * 3

= -99

The three consecutive terms are -11, -33, -99.

The given arithmetic sequence is 12, 18, 24, 30, ...

The common difference is d = 18 - 12 = 6.

The formula for the nth term of an arithmetic sequence is an = a1 + (n-1)d.

Plugging in the values, we get:

a12 = 12 + (12-1)6

= 12 + 11*6

= 12 + 66

= 78.

The 12th term of the arithmetic sequence is 78.

The first term of the sequence is -23 and the common difference is 5.

The formula for the nth term of an arithmetic sequence is an = a1 + (n-1)d.

Plugging in the values, we get:

a13 = -23 + (13-1)5

= -23 + 12*5

= -23 + 60

= 37.

The 13th term of the sequence is 37.

Let's assume the first term of the sequence is a1 and the common difference is d.

The seventh term of the sequence is given as 17, so we have:

a7 = a1 + 6d

= 17.

The eighth term of the sequence is given as 24, so we have:

a8 = a1 + 7d

= 24.

Now we can set up a system of equations and solve for a1 and d:

a1 + 6d = 17

a1 + 7d = 24

Subtracting the first equation from the second equation, we get:

d = 24 - 17 = 7

Substituting d = 7 into the first equation, we get:

a1 + 6(7) = 17

a1 + 42 = 17

a1 = 17 - 42

a1 = -25

Therefore, the value of a1 is -25 and the value of d is 7.

The common ratio of the geometric sequence 9, -27, 81, -243 is -3.

The three consecutive terms of a sequence with a1 = -11 and r = 3 are -11, -33, -99.

The formula for the nth term of the arithmetic sequence 12, 18, 24, 30, … is an = 12 + (n-1)6.

The 12th term of the arithmetic sequence 11, 16, 21, 26, … is 78.

The 13th term of the arithmetic sequence with the first term -23 and common difference 5 is 37.

The first term of the sequence with a seventh term of 17 and an eighth term of 24 is -25, and the common difference is 7.

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Answer:

Yes, negative 2 is bigger than negative six.

Answer:

(-2 is greater than -6 )it is the lower the it is such as -2 the way you know which is greater is by whatever negative is closer to 0 or to the positive numbers.

Step-by-step explanation:

Hope this heped!

Answer:

The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:

Ax + Bx = 2Mx

Ay + By = 2My

=>

2 + Bx = 2*1

5 + By = 2*2

=> Bx = 0

=> By = -1

=> B(0, -1)

Hope this helps!

:)

Answer:

B(3, 8 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ \(\frac{1}{2}\)(x₁ + x₂ ), \(\frac{1}{2}\)(y₁ + y₂ ) ]

let the coordinates of B = (x, y ), then

\(\frac{1}{2}\)(1 + x) = 2 ( multiply both sides by 2 )

1 + x = 4 ( subtract 1 from both sides )

x = 3

and

\(\frac{1}{2}\) (2 + y) = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Thus

coordinates of B = (3, 8 )

There are 48,836,502,496 ways to select 9 countries to serve on the council given the specified conditions.To select 9 countries for the council from the given blocks, you'll need to use combinations. Combinations determine the number of ways to choose a certain number of items from a larger set without considering the order.

First, select 3 countries from the block of 53 countries. This can be done in C(53, 3) ways, where C(n, k) represents the number of combinations of n items taken k at a time.

C(53, 3) = 53! / (3! * (53 - 3)!) = 23,426

Next, choose 2 countries from the block of 64 countries.

C(64, 2) = 64! / (2! * (64 - 2)!) = 2,016

Lastly, select 4 countries from the remaining 72 countries.

C(72, 4) = 72! / (4! * (72 - 4)!) = 1,028,790

Now, multiply the number of combinations from each block together to find the total number of ways to select 9 countries for the council:

Total combinations = C(53, 3) * C(64, 2) * C(72, 4) = 23,426 * 2,016 * 1,028,790 = 48,836,502,496

So, there are 48,836,502,496 ways to select 9 countries to serve on the council given the specified conditions.

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The value of ∫xf ''(x) dx is 12.

We can use integration by parts to find the value of the given integral. Let's assume F(x) is the antiderivative of f ''(x), which means F'(x) = f ''(x). Applying integration by parts, we have:

∫xf ''(x) dx = xF'(x) - ∫F(x) dx

Integrating F(x) with respect to x gives us ∫F(x) dx = ∫f ''(x) dx = f '(x) + C, where C is a constant of integration. Now, let's evaluate the integral:

∫xf ''(x) dx = xF'(x) - ∫F(x) dx = xF'(x) - f '(x) - C

To find the value of the integral, we need to evaluate the expression at the limits of integration. Given that f(1) = 4 and f '(1) = 3, we can substitute these values into the expression:

∫xf ''(x) dx = [xF'(x) - f '(x)] from 1 to 4

Evaluating this expression at x = 4 and x = 1, we get:

∫xf ''(x) dx = [4F'(4) - f '(4)] - [1F'(1) - f '(1)]

Substituting f '(1) = 3, f '(4) = 3, and simplifying the expression, we find:

∫xf ''(x) dx = [4F'(4) - 3] - [1F'(1) - 3] = 12

Therefore, the value of ∫xf ''(x) dx is 12.

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The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

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The can's minimum surface area should have a height of 8 cm and a radius of 4 cm.

Given:

The volume of closed right circular cylindrical cans = 128π cm³

As we know the volume of a cylinder = πr²h

By equating;

πr²h = 128π

h = 128/r²

To get the dimensions of a can with minimum surface area;

S = 2πrh + 2πr

Put h = 128/r²;

Therefore, S(r) = 256π/r + 2πr²

                 S'(r) =  -256π/r² + 4πr

                S''(r) = -(2*256π)/r³ + 4π

Now, for S(r) = 0;

               r = 4cm

         for S''(4) > 0 at r = 4 is minimum point.

Hence,

h = 128π/(π*4*4)

h = 8cm

Therefore, the minimum surface area of the can should have a radius of 4 cm and a height of 8 cm.

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Answer:

y = 2

Step-by-step explanation:

(8y – 3) = 13

8y = 13 + 3

8y = 16

y = 2

Answer:

y = 2

Step-by-step explanation:

8y = 13 + 3

8y = 16

y = 2

good luck

The first table is a quadratic function, while the second table is an exponential function

Table 1

On this table, we can see that:

As x increases by 1, the value of y do not change constantly

This means that the table is a non-linear function

The y values on the table are

-5   -4    -1   4   11

Calculate the first difference

So, we have

-5   -4    -1     4    11

   1      3     5     7

Calculate the second difference

So, we have

-5   -4    -1     4    11

   1      3     5     7

       2     2     2

Since the second differences are equal, then the table is a quadratic table

Table 2

On this table, we can see that:

As x increases by 1, the value of y do not change constantly

This means that the table is a non-linear function

However, we can see that the y values have a common rate of 2

This means that the table is an exponential table

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Answer:

Step-by-step explanation:

Answer:

11 +5x=y

y-11-5x=0

Step-by-step explanation:

In the table that shows the length, in inches, of fish in a pond, there are no outlier.

we know, a value that differs significantly from the other values in a dataset is an outlier in mathematics. Measurement errors, data entry errors, or extreme results that are actually outliers from the majority of the data can all lead to outliers.

Here according to question,

A box-and-whisker plot, which depicts the distribution of a dataset by presenting the minimum, first quartile, median, third quartile, and maximum values, is one method for identifying outliers.

Thus, there are no outlier.

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Answer:

(-14, 4)

Step-by-step explanation:

I graphed it on Desmos Graphing calculator. This is a great resource. Hope this helps!

Step-by-step explanation:

( - 14, -4)

is a right answer

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

The equation \(y =\frac{x}{c} *\frac{x}{c} *x\) represents a non- linear function.

How is the function of the equation determined?

\(y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }\)

This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)

What is a non-linear function?

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Let the marked price of the article be M.

As per the problem, the article is sold at a 20% discount on the marked price, which means the selling price is 80% of the marked price:

80% of M = 4520

0.8M = 4520

M = 4520/0.8

M = 5650

So the marked price of the article is Rs 5650.

Now, 20% discount on the marked price means that the discount amount is:

20% of M = 20/100 * 5650

= 1130

Therefore, the discount amount is Rs 1130.

Answer:

You need to know that the measures of angle L and angle R are congruent for SAS

Answer:

The answer to your question is:  Point (-1/2 , 17/4)

Step-by-step explanation:

Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4

The coordinates of the point P is (6/5, 17/5).

Given that, the points A(-2, 5) and B(2, 3) and the line segment divided in the ratio 4:1.

The Section formula is used to find the coordinates of the point that divides a line segment (externally or internally) into some ratio.

The section formula is \(P(x,y)=(\frac{mx_{2}+nx_{1} }{m+n}, \frac{my_{2}+ny_{1} }{m+n} )\).

Here, m:n=4:1, (x1, y1)=(-2, 5) and (x2, y2)=(2, 3)

Now, P(x, y) = \((\frac{4\times 2+1 \times (-2)}{4+1} , \frac{4\times 3+1 \times 5}{4+1} )\)

=(6/5, 17/5)

Therefore, the coordinates of the point P is (6/5, 17/5).

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Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10³ ÷ (25×4)

1000 ÷ 100 = 10

Answer:

If you are looking for the other quordinate the answer is (4,2)

Step-by-step explanation:

\(m= \frac{rise}{run} = \frac{6}{1}\) so you will have to start from the giving coordinate to find the next.

So, you go up to 6 and then since the 1 is positive you will turn right one time

The component form of the velocity vector becomes ⟨150√2, -150√2⟩. This represents the velocity vector's magnitude and direction in terms of its x and y components.

The component form of the velocity vector of an airplane traveling at 300 mph in the direction of S 45° E can be represented as ⟨300cos(45°), -300sin(45°)⟩. This breaks down the velocity vector into its horizontal (x) and vertical (y) components.

To determine the component form of the velocity vector, we need to consider the given direction and magnitude. The direction S 45° E can be broken down into two components: south (negative y-axis direction) and east (positive x-axis direction).

The magnitude of the velocity is given as 300 mph. The horizontal component of the velocity can be found by multiplying the magnitude by the cosine of the angle (45°) since cosine represents the adjacent side divided by the hypotenuse. Thus, the horizontal component is 300 * cos(45°) = 300 * √2 / 2 = 150√2.

Similarly, the vertical component of the velocity can be found by multiplying the magnitude by the sine of the angle (45°) since sine represents the opposite side divided by the hypotenuse. Therefore, the vertical component is 300 * sin(45°) = 300 * √2 / 2 = 150√2.

Combining these components, the component form of the velocity vector becomes ⟨150√2, -150√2⟩. This represents the velocity vector's magnitude and direction in terms of its x and y components.

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Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

Four packs of T-shirt each with 5 T-shirts= 20 T-shirts

4*5=20 T-shirts

Total amount=$220

$220/20=$11

The height of the cylinder is \(\frac{7}{2}\) inches.

A cylinder is a 3-dimensional solid shape with a lateral surface and 2 circular surfaces.

Volume of a cylinder(V) is : \(\pi r^{2} hr\) = 1/3 inches

volume = \(\frac{2}{9}in^{3}\)

Making h the subject of the Formula we have:

h = \(\frac{V}{\pi r^{2} }h\)

= \(1\frac{2}{9}in^{3}\) ÷ \((\frac{1}{3}) ^{2}\) = \(\frac{7}{2}\) inches

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Answer:

$6.35

Step-by-step explanation:

10 quarters =

10 × .25 = $2.50

17 dimes =

17 × .10 = $1.70

40 nickels =

40 × .05 = $2.00

15 pennies =

15 × .01 = $0.15

2.50+1.70+2.00+.15

= 6.35

The total is $6.35.

To find the probability of a randomly chosen arrival to be less than 15 minutes, we need to use the exponential distribution formula with the given rate and time.

Steps are:
1. Convert the rate to arrivals per minute: Since there are 15 patients per hour, we need to convert it to patients per minute. There are 60 minutes in an hour, so divide 15 by 60.
Rate (λ) = 15 patients/hour / 60 minutes/hour = 0.25 patients/minute

2. Convert the time to minutes: We are given the time as 15 minutes, so no conversion is needed. t = 15 minutes.

3. Use the exponential distribution formula to find the probability:
P(T ≤ t) = 1 - e^(-λt)

4. Plug in the values for λ and t:
P(T ≤ 15) = 1 - e^(-0.25 * 15)

5. Calculate the probability:
P(T ≤ 15) = 1 - e^(-3.75) ≈ 1 - 0.0235 ≈ 0.9765

The probability that a randomly chosen arrival will be less than 15 minutes is approximately 0.9765 or 97.65%.

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x = \(\sqrt[3]{40}\)  = 3.42 ( approx.) is the value of x by given equation .

We often read numbers in words like hundred, thousand, hundred thousand, and ten million. Which number has more digits than we can read? For example, the mass of the Earth is 5972190000000000000000000 kg. This cannot be read in simple words. Therefore, exponents are used to pronounce these kinds of numbers.

Exponents can be observed in four different types: positive, negative, zero, and rational/fractional. Numerical values ​​can be interpreted  using exponents as the total number of times a base must be multiplied by the same base.

3x^3/5 = 24

3x^3 = 120

x^3 = 40

x = \(\sqrt[3]{40}\)  = 3.42 ( approx.)

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The statement "Increasing N increases the real effect of the independent variable" is false.

Increasing N, which presumably refers to the sample size or number of observations, does not necessarily increase the real effect of the independent variable. The real effect of the independent variable is determined by the nature of the relationship between the independent and dependent variables, not solely by the sample size.

In statistical analysis, increasing the sample size can lead to more precise and reliable estimates of the effect of the independent variable. With a larger sample size, the estimates of the effect tend to have smaller standard errors and narrower confidence intervals, which indicates more precision.

However, the actual effect of the independent variable remains unchanged.

The real effect of the independent variable is determined by the true relationship between the variables in the population. It is possible to have a strong and meaningful effect of the independent variable even with a small sample size if the relationship is robust.

Conversely, increasing the sample size does not necessarily make a weak or non-existent effect of the independent variable stronger or more significant.

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