Which is a feature of function g if g(x)=-f(x-4)?

The value of n is 8.

Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.

Using the expansion of Binomial theorem, we can write,

(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............

Coefficient of x³ is  ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.

Ratio of these coefficients is 8 : 15.

[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15

Simplifying,

(4 × 2) / [(n - 3) 3] = 8/15

8 / 3n - 9 = 8 /15

Equating, we have,

3n - 9 = 15

3n = 24

n = 8

Hence the value of n is 8.

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Answer: Jan 11

Step-by-step explanation:

You subtract two weeks (14 days) from Jan 25.

25-14=11

The last pay day was January 11.

The formula for V0 from the expression given will be V0 = V1 - at

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, the formula for V0 will be found thus:

a = V1 - V0 / t

Cross Multiply

at = V1 - V0

Subtract V1 from both sides

-V0 = at - V1

V0 = V1 - at

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it is true in practice, we frequently use a continuous distribution to approximate a discrete one when the number of values the variable can assume is countable but large.

The continuous category of random variables refers to those whose spaces are unions of intervals or intervals rather than a countable number of points. When the sample size is too big to treat each individual event discretely or when a variable does not occur in discrete intervals, continuous distributions are employed as probability models (please see Discrete Distributions for more details on discrete distributions). The main distinction between continuous and discrete distributions is that, while discrete distributions deal with smaller sample populations and cannot be treated as if their random variable values are on a continuum (from negative infinity to positive infinity), continuous distributions deal with a sample size so large that its random variable values are treated on a continuum (from negative infinity to positive infinity).

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Answer:

Trina

Step-by-step explanation:

Trina is 85.6 below sea level

Jessie is 87.9 above

distance wise 85.6 is shorter

The area of the enclosed region in the diagram is 20 square units.

The area of the enclosed region in the diagram can be calculated using the formula A = lw, where A is the area, l is the length, and w is the width. The length is 5 units and the width is 4 units, so A = lw = 5 X 4 = 20 square units.

To calculate the area, we first need to find the length and width of the enclosed region. The length can be found by measuring the longest side, which is the bottom side. This side has a length of 5 units. The width can be found by measuring the shorter side, which is the left side. This side has a width of 4 units.

Once we have the length and width, we can use the formula A = lw to calculate the area. In this case, A = 5 X 4 = 20 square units. Therefore, the area of the enclosed region in the diagram is 20 square units.

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The domain of each function is given as follows:

11. All real values except x = -2 and x = 4.

12. All real values except x = -1 and x = 1.

13. All real values except x = -2.

The domain of a function is the set that contains all the possible input values for the function.

The functions in this problem are rational functions, meaning that all the values of x that make the denominator zero are excluded from the domain.

Then the excluded values are obtained as follows:

11. x² - 4 = 0 -> x = -2 and x = 2.

12. x² - 1 = 0 -> x = -1 and x = 1.

13. x + 2 = 0 -> x = -2.

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The merging of two sorted lists of sizes m and n into a sorted list of size m+n requires O(m+n) comparisons.

The merging of two sorted lists of sizes m and n into a sorted list of size m+n requires O(m+n) comparisons. This is because we must compare each element in both lists in order to sort them. So a total of m+n comparisons are required in the worst case scenario.

This can be visualized by using a formula: n + m = m+n. This formula can be used to calculate the total number of comparisons required.

For example, if m = 10 and n = 15, then 10 + 15 = 25. This means that 25 comparisons would be required in order to sort the two lists.

Thus, the merging of two sorted lists of sizes m and n into a sorted list of size m+n requires O(m+n) comparisons. This is because we must compare each element in both lists in order to sort them.

The merging of two sorted lists of sizes m and n into a sorted list of size m+n requires O(m+n) comparisons.

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Answer:

x=16/squared

Step-by-step explanation:

divide each term in 3xsquared = 48 by 3squared and simplify.

Answer:

If squaring a number means multiplying it by itself, according to this rule, you multiply 3 by "x" and then multiply "x" by itself to get 48. In this scenario, you divide 3 by blank squared to get blank. In this case, you set up this problem with division, so we are dividing 3 times blank squared by 3. Whatever the blank value is, we know this equation equals 48, so you must create a mirrored equation of 48 divided by 3. Now that you've divided 48 by 3, that is 16, right? So 16 will be the equivalent of blank squared, or "x" squared. For blank squared, since we are dealing with algebra, the next step is to use square roots using what we know. We know that 16 is composed of 4 squared, right? So turn 4 squared into a radical of √4². This radical is equal to 4, because "radical" = "number" as long as that number is more than or equal to 0. So, in conclusion, x is 4.

Hope this helps!

Answer:

x=2

Step-by-step explanation:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x=-26

x=2

Answer:

X < 4

Step-by-step explanation:

3rd one.

Answer:

Option B)

Step-by-step explanation:

The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given phrase,

y is greater than or equal to two-thirds times x plus 1 ⇒ y ≥ (2/3)x + 1

y is less than negative one-fourth times x plus 2 ⇒ y < (-1/4)x + 2

Substitute, point (−6, −3)

-3 ≥ (2/3)(-6) + 1

-3 ≥ -3  

Substitute in second inequality,

-3 < (-1/4)(-6) + 2

-3 < 7/2

Hence "The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality".

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Answer:

see below

Step-by-step explanation:

when you divide a fraction, it's better to use multiplication of its reversed fraction = flip the y fraction upside down & multiply the first one

then you'll cancel the y & x and result in

y/x

Answer:

0, 1, 2, and 3

Step-by-step explanation:

make a number line -5 to 5, mark the spots -1 and 4. the numbers in between are your answer!

The required solution of the given simultaneous equations y = 1/5x + 6 and 4x + 5y = 5 is (-5, 5).

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Given equation,
y = 1/5x + 6,
4x + 5y = 5

Graph the given equation on the coordinate plane,
As we can see both lines intersect each other at (-5, 5), which is the solution of the system of the equation given.

Thus, the required solution of the given simultaneous equations y = 1/5x + 6 and 4x + 5y = 5 is (-5, 5).

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There would be 40,320 different types of burgers.

If each burger must have all of the ingredients listed (cheese, lettuce, tomato, pickles, onions, mayo, catsup, and mustard), and the order of the ingredients is important, then the number of different types of burgers would be 8! (8 factorial), which is the number of permutations of 8 items.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

So there would be 40,320 different types of burgers that can be made with all of the ingredients and the order of placement is important.

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Answer:

x ≥ 1

Step-by-step explanation:

The filled in circle means the inequality includes 1

Hope this helped!

A Pythagorean triple using Euclid's rule is (3, 4, 5).

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

Pythagorean triples consist of the three positive numbers a, b, and c, where a²+b² = c².

The symbols for these triples are (a, b, c).

Here, a represents the right-angled triangle's hypotenuse, b its base, and c its perpendicular.

The example of triplets is (3,4,5).

Therefore, the example of triplets is (3,4,5).

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The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

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a) The error first appears between Steps 2 and 4.

b) The value of the expression is given by: 5^(-4) = 1/625.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

The numerator is simplified as follows:

25^(-4) = 5²^(-4) = 5^(2 x -4) = 5^(-8).

The denominator is given as follows:

5²^(-2) = 5^(-4).

When two terms have the same base and different exponents and are divided, we keep the base and subtract the exponents, hence:

5^(-8)/[5^(-4)] = 5^(-8 - (-4)) = 5^(-4) = 1/(5^4) = 1/625.

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Lainey cannot descend for more than 3 minutes.

Using the terms greater than, larger than or equal to, less than, or less than or equal to as a declaration of the order connection between two integers or algebraic expressions is known as inequality. Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income (the amount of money people are paid) (the amount of wealth people own). There are significant forms of economic inequality amongst various groups of people in addition to economic disparity between nations or states.

Given:

We know that she first descends 22 feet, and then she descends at a rate of 22 feet per minute. Basically, we have 22 feet which have to me summed with 22x, which expresses the ratio per minute, where x is minutes, and these terms cannot be more than 93 feet, so there are equal or less than 93 feet.

The expression would be

22 + 22x ≤ 93

If we solve this, we have,

22 + 22x ≤ 93

22x ≤ 93 - 22

22x ≤ 71

x ≤ [tex]\frac{71}{22}[/tex]

Therefore, She cannot descent for more than 3 minutes.

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The answer is [tex]L = 624 cm^2; S = 944 cm^2[/tex]  where L is the lateral area and S is the surface area of a right rectangular prism.

The lateral area of a right rectangular prism is given by the formula:

[tex]L = 2(lw + bh)[/tex]

where l and b are the length and width of the base, and h is the height of the prism.

The surface area is given by the formula:

[tex]S = 2(lb + bh + lh)[/tex]

For the given prism with a base of 12 cm by 10 cm and a height of 16 cm, the lateral area is:

[tex]L = 2((12 cm)(10 cm) + (12 cm)(16 cm)) \\= 2(120 cm^2 + 192 cm^2)\\= 2(312 cm^2)\\= 624 cm^2.[/tex]

The surface area is:

[tex]S = 2((12 cm)(10 cm) + (10 cm)(16 cm) + (12 cm)(16 cm))\\ = 2(120 cm^2 + 160 cm^2 + 192 cm^2) \\ = 2(472 cm^2) \\ = 944 cm^2.[/tex]

So the answer is [tex]L = 624 cm^2[/tex] ; [tex]S = 944 cm^2[/tex] .

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Answer:

The correct answer is L=704 cm^2 ; S-944 cm^2

Step-by-step explanation:

p=2l+2w

P=2(12)+2(10)=24+20=44cm

L=(44)(16)=704 cm^2

So the lateral area is 704 cm^2

B=(12)(10)=120cm^2

S=704+2(120)=704+240=944cm^2

So the surface area is 944 cm^2

Answer: $480

Step-by-step explanation:

Calculators=$80 per 12 calculators

Calculators=$25 for 3 Calculators

80 x 6= 480

If x must be a number. The same outcome is obtained by increasing x by 20% as well as by decreasing that product of four with x by 5. x has the value of 25/14.

Let's look up an expression for raising x by 20%. This might be shown as x + 20%. x = x + 0.2x = 1.2x = 6x/5.

The two expressions must now be set to be equal to each other.

6x/5 = 4x - 5

Add 6x/5 to both sides and subtract. To make 4x and 6x/5 have a similar denominator, we can rephrase 4x as 20x/5.

0 = 20x/5 - 6x/5 - 5 = 14x/5 - 5

0 = 14x/5 - 5

We can now increase both sides by five.

5 = 14x/5

Now that we have the reciprocal of 14/5, 5/14, we may multiply either sides by this number.

5(5/14) = (14x/5)(5/14) = x

25/14 = x

Thus, the solution is 25/14.

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The description of the translation is given as follows:

To get the function g, shift f up by 4 units and to the left by 2 units.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

Hence the changes to the function in this problem are described as follows:

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To construct frequency and relative frequency distributions, count number of students for each major and divide by total number of students (30) to find the relative frequency.

Use the frequency and relative frequency data to create a bar chart and a pie chart to visualize the data. To construct a frequency distribution and bar chart for the thirty students in the School of Business, we need to count the number of occurrences of each major and create a table. For example, if 9 students chose Management as their major, 9 would be the frequency for Management. We can then plot the frequencies on a bar chart, with each major on the x-axis and its frequency on the y-axis. The bar chart visually represents the distribution of the data.

A relative frequency distribution is a frequency distribution expressed as a proportion or percentage of the total number of observations. To create a relative frequency distribution, we divide each frequency by the total number of students (30 in this case) and multiply by 100%. The relative frequencies can then be used to construct a pie chart, where each major is represented as a wedge or slice of the pie, proportional to its relative frequency. The pie chart visually represents the distribution of the data as a whole.

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A Type I error that could result from the test is "The test provides convincing evidence that the mean is less than 12 ounces, but the actual mean is at least 12 ounces."

A Type I error occurs when the null hypothesis is rejected when it is actually true. In this case, the null hypothesis is that the mean is at least 12 ounces, and the alternative hypothesis is that the mean is less than 12 ounces. If the test provides convincing evidence that the mean is less than 12 ounces when the actual mean is at least 12 ounces, this is a Type I error. The answer is: The test provides convincing evidence that the mean is less than 12 ounces, but the actual mean is at least 12 ounces. If the test provides convincing evidence that the mean is less than 12 ounces when the actual mean is at least 12 ounces, this is a Type I error.

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The drawings that best describe the way the stars appear to move in the Southern Hemisphere on the horizon is:

When in the Southern Hemisphere, the drawings would appear to move upwards when moving North. The stars would also appear to move down when moving to the South as shown in A.

The East would show drawings moving towards the right as shown in E and the West would show stars appearing to move to the left which is shown with Drawing F.

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Answer:

47500

Step-by-step explanation:

5 x 19=95

95 x 25=2375

2375 x 4=9500

9500 x 5= 47500

hope this is correct :)

There is a 95% chance that the true mean number of hours of sleep per day for all students in the school falls within this range

To calculate the 95% confidence interval for the mean number of hours of sleep per day of a random sample of 50 students from a large high school, you would need to follow these steps:

Calculate the mean of the sample by adding up all the hours of sleep reported and dividing by the sample size (n).

Calculate the standard deviation (σ) of the sample by taking the square root of the sum of squares of the differences between the sample values and the mean divided by n1.

Calculate the standard error (SE) by dividing the standard deviation by the square root of n.

Calculate the margin of error (ME) by multiplying the standard error by the critical value of 1. 96.

Calculate the confidence interval by adding and subtracting the margin of error from the mean. This will give you the lower and upper bounds of the confidence interval.

Therefore, the 95% confidence interval for the mean number of hours of sleep per day of a random sample of 50 students from a large high school is (6. 73, 7. 67). This means that there is a 95% chance that the true mean number of hours of sleep per day for all students in the school falls within this range

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