find the common ratio 1,-1,1,-1

Answer:

34.56

Step-by-step explanation:

i did the math and i got that

f(x) = 4 * 3^x

To find the formula for the exponential function that passes through the points (0, 4) and (3, 108), we need to follow these steps:

Step 1: Write the general exponential function
The general exponential function is of the form f(x) = ab^x, where a and b are constants.

Step 2: Plug in the first point (0, 4)
Using the point (0, 4), substitute x=0 and y=4 into the equation and solve for a:
4 = a * b^0
Since any number raised to the power of 0 is 1, we have:
4 = a * 1
So, a = 4.

Step 3: Plug in the second point (3, 108) and solve for b
Now we have the function f(x) = 4 * b^x. Using the point (3, 108), substitute x=3 and y=108 into the equation and solve for b:
108 = 4 * b^3

Divide by 4:
27 = b^3

Now take the cube root of both sides:
b = 3

Step 4: Write the final formula
Now that we have found a and b, we can write the final formula for the exponential function that passes through the two points (0, 4) and (3, 108):
Therefore, f(x) = 4 * 3^x

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Answer:

g+(h+j)+k

(g+h)+ j+k

Step-by-step explanation:

these are the answers

hope it helps

for any question comment me ❤❤❤

Solution

Divide the figure into 2

Draw a horizontal line to cut the shape into 2 squares at the top

Area of the top 2 squares = 2 x 1 = 2 squared units

Area of the other part = 5 x 3 = 15 squared units

Area of the figure = 15 + 2 = 17 squared units

The answer is 17 squared units

This pseudocode outlines the basic steps for implementing the discretized PID controller in a digitized environment.

Here's the pseudocode for implementing the discretized PID controller in a digitized environment:

```

Read input signal

Initialize controller outputs

While loop until process is stopped:

   Calculate error = setpoint - process variable

   Calculate PID outputs using PID formula

   Compute new control output using PID outputs and discretized controller

   Apply control output to the process

End while loop

```

In this pseudocode, you first read the input signal and initialize the controller outputs. Then, in a loop that continues until the process is stopped, you calculate the error by subtracting the setpoint from the process variable.

Next, you calculate the PID outputs using the PID formula. After that, you compute the new control output by combining the PID outputs with the discretized controller. Finally, you apply the control output to the process. The loop continues until the process is stopped.

This pseudocode outlines the basic steps for implementing the discretized PID controller in a digitized environment.

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Answer: Vegan student gets 9/5 cheese slices

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

Step-by-step explanation:

6 slices of Pepperoni + 3 slices of cheese = 9 slices total.  We need to divide the slices among 5 students, 1 is vegan.

9 divided by 5 = 1 and 4/5 slices or  9/5 slices.

The 9 slices make 45/5 slices.

3 slices of cheese = 15/5 slices.

6 slices of pepperoni = 30/5 slices.

Vegan student gets 9/5 cheese slices. Leaving 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

5/5=10/10, 1/2=5/10, 3/10  

10/10 + 5/10 + 3/10 = 18/10=9/5 slices each person.

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

answer = 19.2

Step-by-step explanation:

48 = 24 + 1.25x

48 - 24 = 1.25x

24 = 1.25x

24/1.25 = x

19.2 = x

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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The correct answer is a. the average distance between M and µ that would be expected if H0 was true.

The denominator of the z-score test statistic measures the average distance between the sample mean (M) and the population mean (µ) that would be expected if the null hypothesis (H0) was true.

Option a. "the average distance between M and µ that would be expected if H0 was true" is the correct description of what is measured by the denominator of the z-score test statistic. It represents the standard error, which is a measure of the variability or dispersion of the sample mean around the population mean under the assumption of the null hypothesis being true.

Option b. "the actual distance between M and µ" is not accurate because the actual distance between M and µ is not directly measured by the denominator of the z-score test statistic.

Option c. "the position of the sample mean relative to the critical region" is not accurate because the position of the sample mean relative to the critical region is determined by the numerator of the z-score test statistic, which represents the difference between the sample mean and the hypothesized population mean.

Option d. "whether or not there is a significant difference between M and µ" is not accurate because the determination of a significant difference is based on comparing the calculated test statistic (z-score) to critical values, which involve both the numerator and the denominator of the z-score test statistic.

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Answer: either .395 or 3.095 I am not sure

Step-by-step explanation:

Answer:

3.095

Step-by-step explanation:

The possibility that something will occur, prior measures, and conventional objective measurements all influence the likelihood that something will occur.

What is probability and what types are there in total?

The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0. When an event has a probability of 1, it can be said to be a certainty. For instance, if the coin lands flat, the likelihood that it will come up  "heads or  tails" is 1. There are no other possible outcomes. A probability of .5 indicates that there is an equal chance that an event will occur or not.

Probability can be quantitatively represented in the simplest form as follows: the total number of possible outcomes multiplied by the ratio of the number of occurrences of a targeted event divided by the sum of the occurrences and failures of occurrences:

P(a) = P(a)/[P(a) + P(b)]

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The answer to each part is mentioned below →

[1] - The measure of each angle is given as -

∠P = 21°

∠Q = 105°

∠L =  54°

[2] - The measure of each angle is given as -

Larger acute angle = 65°

Smaller acute angle =  25°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is ΔQPL, such that the m∠Q is five times the m∠P and m∠L is 12 more than twice the m∠P. It is also the larger acute angle is 10 degree less then three times the measure of smaller acute angle.

[1] - It is given that -

∠Q = 5∠P

∠L = 2∠P + 12

For the triangle ΔQPL, we can write -

∠Q + ∠P + ∠L = 180

5∠P + 2∠P + 12 + ∠P = 180

8∠P = 168

∠P = 21°

∠Q = 5∠P = 5 x 21 = 105°

∠L = 2∠P + 12 = 2 x 21 + 12 = 54°

[2] -

Assume that the larger acute angle is [x] and the smaller angle be [y]. Then -

x = 3y - 10

Then -

x + y + 90 = 180

3y - 10 + y + 90 = 180

4y = 100

y = 25

x = 3 x 25 - 10

x = 65

Therefore, the answer to each part is mentioned below -

[1] - The measure of each angle is given as -

∠P = 21°

∠Q = 105°

∠L =  54°

[2] - The measure of each angle is given as -

Larger acute angle = 65°

Smaller acute angle =  25°

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Answer:

r = 6 ft

Step-by-step explanation:

The solutions are,

x = 7° is the value of x that will make P the triangle's incenter.

P, the circumcenter of the triangle, is made by the value of x, which is x = 6°.

Given condition;

The triangle has a point of concurrency at P. Find the value of x that would make P the incenter of the triangle. x = Find the value of x that would make P the circumcenter of the triangle;

To know the values and relations;

Incenter of a triangle:

A triangle's incenter is the point at which its circumscribed circle is at its center.

Given that x determines P, the triangle's incenter, we may calculate the following;

(3x + 3) = 24 x = 21/3 = 7.

x = 7° is the value of x that will make P the triangle's incenter.

Triangle circumcenter:

The triangle's circumcenter is the center of the circle that encircles the triangle.

As a result, the distance between P and the vertices is equal to the radius of the circle circumscribed by,

(5x - 4) = 26 x = 30/5 = 6

P, the circumcenter of the triangle, is made by the value of x, which is x = 6°.

Hence,

The value of x that will make the P the incenter of the triangle is x = 7°

The value of x, which makes P, the circumcenter of the triangle, is x = 6°

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Answer:

its c

Step-by-step explanation:

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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The square of a binomial, the value of the constant \(c\) should be equal to half the coefficient of the linear term squared, which in this case is \(c = \left(\frac{22}{2}\right)^2 = 121\). Therefore, the constant that needs to be filled in is 121.

To express the quadratic expression \(x^2 + 22x + c\) as the square of a binomial, we need to find a binomial of the form \((x + a)^2\) that expands to \(x^2 + 22x + c\). Expanding \((x + a)^2\) gives \(x^2 + 2ax + a^2\). Comparing the coefficients of the expanded binomial and the given quadratic expression, we can equate the linear terms to find \(2ax = 22x\), which gives \(a = 11\). Substituting this value of \(a\) back into the expanded binomial, we have \(x^2 + 22x + 121\). Therefore, the constant that needs to be filled in is 121.

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Answer:

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

Step-by-step explanation:

On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.

Total food bought = 4 1/2 kg

Strawberry feed = 1 2/3 kg

Tomato feed = 1/4 kg

Total food used on Sunday = Strawberry + tomato

= 1 2/3 + 1/4

= 5/3 + 1/4

= (20+3)/12

= 23/12 kg

Total food remaining after Sunday = Total food bought - used food

= 4 1/2kg - 23/12kg

= 9/2 - 23/12

= (54-23)/12

= 31/12 kg

= 2 7/12 kg

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.

Strawberry = 2 × 1 2/3kg

= 2 × 5/3

= 10/3 kg

Tomato = 1 × 1/4kg

= 1/4 kg

Total food needed to feed strawberry two more times and tomato 1 more time

= 10/3 kg + 1/4 kg

= (40+3)/12

= 43/12 kg

= 3 7/12 kg

He will need 3 7/12 kg of food

He has 2 7/12 kg of food left

Therefore, he doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

Answer:

To find the surface area of a regular hexagonal pyramid, we need to find the area of the six triangular faces and the area of the hexagonal base, and then add them together.

The area of each triangular face is given by the formula:

(1/2) x base x height

In this case, the base of each triangle is the side length of the hexagon (8), and the height is the slant height of the pyramid (16). Therefore, the area of each triangular face is:

(1/2) x 8 x 16 = 64

The hexagonal base can be divided into six equilateral triangles, each with side length 8. The area of each equilateral triangle is:

(1/4) x sqrt(3) x side length^2

Plugging in the values, we get:

(1/4) x sqrt(3) x 8^2 = 16sqrt(3)

To find the total surface area, we add the area of the six triangular faces and the area of the hexagonal base:

6 x 64 + 16sqrt(3) = 384 + 16sqrt(3)

Rounding to the nearest tenth, the surface area of the regular hexagonal pyramid is:

398.6 square units (rounded to one decimal place)

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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To show that the square root of 18 is irrational using strong induction, we first establish the base case:

Base Case: We can observe that the square root of 18 is not an integer, so it is not a perfect square. Therefore, it is irrational.

Now, let's assume that for any positive integer k < 18, the square root of k is irrational. We will use strong induction to prove that the square root of 18 is irrational.

Inductive Step: Consider the integer n = 18. We need to show that the square root of 18 is irrational.

Assume, for the sake of contradiction, that the square root of 18 is rational. Then, it can be written in the form p/q, where p and q are positive integers with no common factors (except 1) and q is not equal to 0.

Squaring both sides, we have 18 = (p^2)/(q^2), which can be rearranged as 18q^2 = p^2.

Now, we see that p^2 is a multiple of 18, which means p^2 is divisible by 3. This implies that p is also divisible by 3.

Let p = 3k, where k is a positive integer. Substituting this back into the equation, we have 18q^2 = (3k)^2, which simplifies to 6q^2 = 3k^2.

Dividing both sides by 3, we get 2q^2 = k^2. This means k^2 is even, and consequently, k is also even.

Let k = 2m, where m is a positive integer. Substituting this back into the equation, we have 2q^2 = (2m)^2, which further simplifies to q^2 = 2m^2.

Now, we see that q^2 is also even, and therefore, q is even.

However, both p and q are even, which contradicts our assumption that p/q is in its simplest form. Thus, our initial assumption that the square root of 18 is rational must be false.

Therefore, by strong induction, we can conclude that the square root of 18 is irrational.

Using strong induction, we can show that every integer amount of postage 30 cents or more can be formed using just 6-cent and 7-cent stamps.

Base Case: For n = 30, we can form it using five 6-cent stamps, so the statement holds true.

Inductive Step: Assume that for all positive integers k with 30 ≤ k ≤ n, we can form k cents of postage using only 6-cent and 7-cent stamps.

Now, consider the case of n + 1 cents. We have two possibilities:

If we use a 6-cent stamp, we need to form (n + 1) - 6 = n - 5 cents using only 6-cent and 7-cent stamps. Since n - 5 is less than or equal to n, we can form it using the stamps according to our assumption.

If we use a 7-cent stamp, we need to form (n + 1) - 7 = n - 6 cents using only 6-cent and 7-cent stamps. Since n - 6 is less than or equal to n, we can form it using the stamps according to our assumption.

In both cases, we can form n + 1 cents of postage using only 6-cent and 7-cent stamps.

By strong induction, we have shown that for any integer amount of postage 30 cents or more, it can be formed using only 6-cent and 7-cent stamps.

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Answer:

It represents the price that ray is actually paying. Instead of paying for 100% of the price, he is now only paying for 90%

Step-by-step explanation:

Answer:

1 because the solution is (1,-3)

Step-by-step explanation:

solution to the system is (1,-3)

Answer:

the solution of a y=mx+b system of equations is always where the lines intersect, in this instance it is at x=1  y=-3. so your answer is 1. additionally if your lines never intersect i.e. are parallel then there is no solution. similarly if the equations yield the same line then they have an infinite number of real number solutions in which case for your answer you would put this symbol ---> ℝ

Step-by-step explanation:

Considering that 27.5 percent of farmers in the country raise chickens. and 220 farmers raise chickens, the number of farmers in the country is 727

Information given in the question include

27.5 percent of farmers in the country raise chickens

220 farmers raise chickens

This problem is deals percentage, while percentage refers to a ratio of hundred.

27.5 percent = 27.5 % = 27.5 / 100

let the number of farmers be x

hence 27.5 % of x = 220

27.5 / 100 * x = 220

27.5x / 100 = 220

27.5x = 100 * 220

27.5x = 20 000

x = 20 000 / 27.5

x = 727.2727

x ≅ 727

Therefore number of farmers in the country is 727

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Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

(x - 4)(3x + 2) is an expression that is equivalent to 3x² - 10x - 8.

A quadratic equation is one in which the variable is squared in just one term and not in any other term where the variable is raised to a power greater than 2.

Lets take the quadratic equation:  3x² - 10x - 8

First we will multiply 3\(x^{2}\) and -8, therefore we will get -24\(x^{2}\).

Then we will break -10 x in a way that its terms give a product of -24\(x^{2}\) when multiplied, i.e.,  -10x = 12x - 2x

Thus, 3x² - 10x - 8 = 3x² + 12x - 2x - 8

                              = 3x(x + 4) -2(x + 4)

                              = (3x - 2)(x + 4)

Hence, (3x - 2)(x + 4) is the correct answer.

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