1. Use the function rule. Find y for x = 0, 1, 2, and 3. y = 4x – 2

The general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

Given a recurrence relation tn = 120,-2 - 166n-3 + 2 we have to derive the general solution form for the recurrence sequence.

We have the recurrence relation tn = 120,-2 - 166n-3 + 2

We need to find the solution for the recurrence relation.

Associated Homogeneous Equation: First, we need to find the associated homogeneous equation.

                                     tn = -166n-3 …..(i)

The characteristic equation is given by the following:tn = arn. Where ‘a’ is a constant.

We have tn = -166n-3..... (from equation i)ar^n = -166n-3

                                Let's assume r³ = t.

Then equation i becomes ar^3 = -166(r³) - 3ar^3 + 166 = 0ar³ = 166

Hence r = ±31.10.3587Complex roots: α + iβ, α - iβ

Characteristics Polynomial:

                   So, the characteristic polynomial becomes(r - 31)(r + 31)(r - 10.3587 - 1.7503i)(r - 10.3587 + 1.7503i) = 0

The general solution of the Homogeneous equation:

Now we have to find the general solution of the homogeneous equation.

                  tn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)

                        nWhere C1, C2, C3, C4 are constants.

Computing a Particular Solution:

                Now we have to compute the particular solution.

                                  tn = 120-2 - 166n-3 + 2

Here the constant term is (120-2) + 2 = 122.

The solution of the recurrence relation is:tn = A122Where A is the constant.

The General Solution of Non-Homogeneous Equation:

        The general solution of the non-homogeneous equation is given bytn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)n + A122

Hence, we have derived the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

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The probability that Hannah's number is an even palindrome is 1/45.

There are 45 even palindrome numbers between 1000 and 9999, out of a total of 4500 possible 4-digit numbers.

So, the probability of Hannah writing an even palindrome number is 1/45.

A palindrome number is the same when read from left to right or right to left. There are 90 possible 2-digit palindrome numbers (11, 22, 33, etc.), and 9 possible 1-digit palindrome numbers (1, 2, 3, etc.), making a total of 99 palindrome numbers from 1 to 999. In a 4-digit number, the first and last digits must be the same for it to be a palindrome.

Therefore, the first digit has 9 choices (1-9), and the last digit also has 9 choices. The second digit can be any of the 10 digits (0-9), and the third digit can be any of the 5 remaining even digits (0, 2, 4, 6, 8).

Thus, there are 45 even palindrome numbers between 1000 and 9999.

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Answer:

21100 minutes or about 351.67 hours

Step-by-step explanation:

First find out how many $10 is in $42200 by dividing. The answer is 4220

This means there is 4220 5 minutes. Multiply to get 21100.

It takes 21100 minutes or about 351.67 hours to get 42200 dollars.

Answer:

D because the BC is the radius line

Answer:

Its 114 degrees

Step-by-step explanation:

<ABD = 65 degrees

<DBC = 49 degrees

Angle ABC is basically the 2 angles together, to get 114 degrees all you have to do is add the degrees together to get the number for Angle ABC

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a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

(0,7)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The very first thing you have to realize is that the temperature goes further down the minus scale which means that only A and D can be correct. That's because time in this question is positive.

So if you just try the first value (x = 3), you will get

-3/2 * 3 = -9/2 which would mean that you would add -4 1/2 onto - 10 which is much larger than - 10

A: is not the answer.

-2/3 * 3 - 10 = -6/3 - 10 = -2 - 10 = - 12

That is the answer you should get. The answer is D.

7) Required value of HG is 13 ft.

8) The measure of x in the triangle below is 13 ft.

What is value of cosine formula ?

let say there is AABC,and opposite side of ZA is a, opposite side of <B is b, opposite side of C is c.

then cos(A) = (b² × c² - a²)/(2bc)

given that AFGH . FH = 8ft , FG = 13ft ,and m angle F = 72 deg

by law of cosines to find the HG, since

we know the lengths of FH and FG and

the measure of angle F.

Let's say length of HG be "x".

Then by law of cosines:

x² = 8² + 13²- 2(8)(13) × cos(72°)

x²= 64 + 169 - 208cos(72°)

cos(72°) , which is approximately 0.309., we get:

x²= 233 - 208(0.309)

x² = 169.072

x² = 64+169-208cos(72°)

cos(72°), which is approximately 0.309., we get:

x² = 233-208(0.309)

x²= 169.072

Taking the square root of both sides, we get:

x = 13 (approx)

So the length of HG is approximately 13 feet.

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Answer:

solution,                                                                                                                                     cp=Rs150                                                                                                                                        profit=Rs12                                                                                                                              Now,                                                                                                                                                   profit percent=profit% of cp                                                                                              or,profit percent=12/100 x Rs150                                                                                                Therefore,profit percent =18%

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

We know that

Profit% = Profit/CP × 100

=> 12/150 × 100

=> 12/15 × 10

=> 4/5 × 10

=> 8%

The remainder of 23451638 divided by 5 is 2 and the remainder of 23451638 divided by 4 is 2

The first step to solving this problem is to determine the remainder of 23451638 when divided by 5. One way to do this is to find the remainder when the sum of the digits is divided by 5.2 + 3 + 4 + 5 + 1 + 6 + 3 + 8 = 32

The remainder when 32 is divided by 5 is 2. Therefore, the remainder of 23451638 divided by 5 is 2.

Next, we need to determine the remainder of 23451638 when divided by 4. One way to do this is to find the remainder when the last two digits are divided by 4.38 ÷ 4 = 9 R 2345163 - 4 = 163

The last two digits of 163 are not divisible by 4, so the remainder when 23451638 is divided by 4 is 2. Therefore, the remainder of 23451638 divided by 4 is 2.

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The domain of the relation is 0 ≤ x ≤ 4 and the range of the relation is all real numbers  (-∞, ∞)

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We know that Domain : the set of possible x-values (the "input" values)

And also, we know that Range : the set of y-values (the "output" values)

In the given graph we have attached below, the domain of the relation is 0 ≤ x ≤ 4

The range = all real numbers (-∞, ∞)

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Answer:

point D y F ese el la respuesta

The negation of the given statement "There is an honest politician" is "It is not the case that there is an honest politician." This can be represented as the option F: None of the other choices.

To determine the negation of the given statement, we need to consider each option and evaluate whether it represents the opposite meaning of the original statement.

Option A: "There is an honest politician" - This is the original statement, not its negation.

Option B: "There is a dishonest politician" - This option does not represent the negation because it is simply stating the existence of a dishonest politician, which does not contradict the possibility of an honest politician.

Option C: "Every politician is honest" - This option states that all politicians are honest, which is the opposite of the given statement. However, it is not the correct negation as it implies that there are no dishonest politicians.

Option D: "Every politician is dishonest" - This option is also the opposite of the given statement, but it is not the correct negation as it implies that there are no honest politicians.

Option E: "Some politicians are honest" - This option acknowledges the existence of honest politicians, which contradicts the negation of the original statement.

Therefore, option F, which represents "None of the other choices," is the correct negation of the given statement. It implies that it is not the case that there is an honest politician, allowing for the possibility of either dishonest politicians or no honest politicians.

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Compare the quantity in Column A with the quantity in Column B.

Column A Column B, The two quantities are equal.

Generally, the surface that has one end or side that is higher than the other (or vice versa); is a surface that slopes up or down.

In conclusion, Compare the number in Column A with the number in Column B.

The two amounts are identical in Columns A and B.

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Answer:

10 cartridges

Step-by-step explanation:

170/17 = 10

Answer:

The answer is 10

Step-by-step explanation:

17×10=170

The minimum score an applicant needs to qualify for the final stage 1056

In this question we have been given that students sit for a special standardized test and score on the top 10% of the test to be admitted into the final stage of hiring. the mean of the score of the test is 800 and the population standard deviation is known to be 200.

We need to find the minimum score an applicant needs to qualify for the final stage.

Z score is given by:

z = (raw score - mean) / standard deviation

here: mean = 800

and a standard deviation = 200

P(z > c) = 10% = 0.1

1 - P(z < c) = 0.1

P(z < c) = 0.9

P(z < c) = 1.282

So, substituting these values in above formula,

1.282 = (x - 800)/200

x - 800 = 256.4

x = 1056.4

x ≈ 1056

Therefore, the lowest possible score to qualify in the top 10% is approximately 1056

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Answer:

8 + (5W)/ 4

Step-by-step explanation:

Plug in 2 for x

2 * 2 * 2 + (5W)/(2 + 2)

8 + (5W)/ 4

Answer:

subscribe to Sky Clikz on YT  to make you and my day better

Step-by-step explanation:

Answer:

Multiply and divide

Step-by-step explanation:

When you are converting from a bigger unit to a smaller one you multiply.

When you are converting from a smaller one to a bigger one you divide.

HOPE THIS HELPED

Answer:

he  spent $75.80

Step-by-step explanation:

hope this helps:D

Answer:

-10

Step-by-step explanation:

∛-1000=-10

Answer:

-10

Step-by-step explanation:

First...

A cube root is to find a number that if multiplied three times by its self equals this number. (sorry a little confusing)

Next...

Forget about the negative for a little bit and look at it.

10*10*10=1000

Finally...

If 10 cubed is positive 1000 then -10 cubed is -1000.

So the answer is -10.

Answer:

0, 1, 1.5, 1.8, 1.3

Step-by-step explanation:

The required probability that she'll use a cab exactly one time is  4/9.

probability is a part of math that arrangements with figuring out the probability of the event of an occasion.

Elizabeth lives in San Francisco and works in Mountain View.

In the first part of the day she has 3 transportation choices  (bus, cab, train) to work, and at night she has similar 3 options for her outing home.

All transportation  (bus, cab, train) are comparably liable to be chosen, and 1 of them should be chosen in the first part of the day and night, so we get:

P (bus) = P (taxi) = P (train) = 1/3.

We additionally have P(no taxi in night) = P(no taxi at morning) = 2/3

Presently, P(using taxi precisely once) = P(cab at morning and no taxi at night) + P(no taxi at morning and taxi at night)

= P(cab, no taxi) + P(no taxi, taxi)

= 1/3 × 2/3 + 2/3 × 1/3

= 2/9 + 2/9

= 4/9

Consequently, the probability that Elizabeth utilizes a taxi just once is 4/9.

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a) The company should produce 49 phones with price of $300.1

 Maximum weekly revenue: $14,707.9

b) The company should produce 38 phones with price of $368.2.

Maximum weekly profit:  $3,231.6

(A) To maximize the weekly revenue, we need to find the value of x that maximizes the revenue function R(x), where R(x) is the product of the price and the quantity sold (x).

The revenue function is given by:

R(x) = x  p(x)

where p(x) = 600 - 6.1x

Substitute p(x) into the revenue function:

R(x) = x (600 - 6.1x)

Now, we can find the value of x that maximizes the revenue by taking the derivative of R(x) with respect to x and setting it equal to zero:

dR/dx = 600 - 12.2x

Setting dR/dx = 0 and solving for x:

600 - 12.2x = 0

12.2x = 600

x = 600 / 12.2

x = 49.18

Since we cannot produce a fraction of a cellphone, we round down to 49 phones.

Now, to find the price, substitute the value of x back into the price-demand equation:

p = 600 - 6.1 x 49

   = 600 - 299.9

   = 300.1

So, the company should produce 49 phones each week and charge a price of $300.1 to maximize the weekly revenue.

Maximum weekly revenue:

R(49) = 49 x 300.1

         = $14,707.9

(B) The profit function is given by:

P(x) = R(x) - C(x)

where C(x) = 20 + 140x

Substitute the expressions for R(x) and C(x) into the profit function:

P(x) = (x (600 - 6.1x)) - (20 + 140x)

Now, take the derivative of P(x) with respect to x and set it equal to zero

dP/dx = 600 - 12.2x - 140

Setting dP/dx = 0 and solving for x:

600 - 12.2x - 140 = 0

-12.2x = -460

x = -460 / -12.2

   = 37.7

Since we cannot produce a fraction of a cellphone, we round up to 38 phones.

Now, to find the price, substitute the value of x back into the price-demand equation:

p = 600 - 6.1 x 38

  = 600 - 231.8

  = 368.2

So, the company should produce 38 phones each week and charge a price of $368.2 to maximize the weekly profit.

Now, Maximum weekly profit:

P(38) = (38 x (600 - 6.1 x 38)) - (20 + 140 * 38)

        = $3,231.6

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The question attached here seems to be incomplete, the complete question is:

company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below

p = 600 - 6.1x and C(x) = 20 + 140x

(A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue?

The company should produce phones each week at a price of (Round to the nearest cent as needed) Box

The maximum weekly revenue is $ (Round to the nearest cent as needed)

(B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximus weekly prof

Box s The company should produce phones each week at a price of (Round to the nearest cent as needed) root(, 5) Box

The maximum weekly profit is $ (Round to the nearest cent as needed

Answer:

Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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The equation 4x + 4y = 20 can be rewritten in slope-intercept form as y = -x + 5.

The equation 4x + 4y = 20 can be rewritten in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

To rewrite the equation in slope-intercept form, we need to isolate y on one side of the equation.

Step 1: Subtract 4x from both sides of the equation:
4x + 4y - 4x = 20 - 4x

This simplifies to:
4y = -4x + 20

Step 2: Divide both sides of the equation by 4 to solve for y:
4y/4 = (-4x + 20)/4

This simplifies to:
y = -x + 5

Now, the equation is in slope-intercept form, y = -x + 5. In this form, we can easily identify the slope, which is -1, and the y-intercept, which is 5.

The slope (-1) indicates that for every increase of 1 unit in the x-direction, the y-value decreases by 1 unit. The y-intercept (5) represents the point where the line intersects the y-axis when x is 0.

So, the equation 4x + 4y = 20 can be rewritten in slope-intercept form as y = -x + 5.

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