for each function in exercise 2, determine whether that function is ω(x2) and whether it is θ(x2).

Answer: The 9th term is 41990400

Step-by-step explanation:

As we can see here 25, 150, 900 to find the common ratio i'll divide 150 by 25 which gives me 6

to 25 times 6 is 150

150 times 6 is 900

T=Term

1t=25 2t=150 3t=900 4t=5400 5t=32400 6t=194400 7t=1166400 8t=6998400 9t= 41990400

900*6= 5400

5400*6=32400

32400*6= 194400

194400*6= 1166400

1166400*6= 6998400

6998400*6=41990400

Answer:

Walmart I hope this helps!!

Step-by-step explanation:

The number of days it would take for a news story to reach 1,500,000 shares include the following: B. 6 days.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the information provided above, the number of shares this news story can be modeled by the following exponential function;

\(y = 5(7)^x\\\\1500000=5(7)^x\\\\300000=(7)^x\)

By taking the natural log (ln) of both sides of the equation, we have:

Time, x = 6.4 ≈ 6 days.

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The figures below are similar.  By using this, the perimeter of the smaller rectangle P₂ = 3 cm.

When applying a scale factor, similar shapes are enlarged versions of one another. All of the corresponding angles and lengths in related shapes are equal and in the same ratio.

We divide the length of the enlarged shape by the length of the original shape to calculate the length scale factor.

The ratio of perimeter of both shapes is same as the ratio their corresponding side.

Given that one side of shape 1 is 4 cm and its perimeter P₁ is 12 cm.

and the corresponding side of shape 2 is 1 cm.

comparing the sides and perimeter of both shapes we get

4cm/1cm = 12cm/P₂

by cross multiplication we get,

4 * P₂ = 12cm * 1

P₂ = 12cm/4

P₂ = 3cm

So the perimeter of the smaller rectangle P₂ = 3 cm.

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To determine the mean and 90% confidence interval for the average fluoride concentration in the sample, we can follow these steps: The correct answer is 90% confidence interval = 0.791 to 0.817 mg/L

The first step is to calculate the mean of the data:

mean = (0.815 + 0.789 + 0.811 + 0.789 + 0.815) / 5 = 0.804 mg/L

The next step is to calculate the standard deviation of the data:

std_dev = sqrt((\(0.009^{2}\) + \(0.015^{2}\) + \(0.002^{2}\) + \(0.015^{2}\) + \(0.009^{2}\)) / 5) = 0.008 mg/L

The 90% confidence interval for the mean is calculated using the following formula:

mean ± t * std_dev / sqrt(n)

where t is the 90% critical value for the t-distribution with 4 degrees of freedom, which is 1.685.

90% confidence interval = 0.804 ± 1.685 * 0.008 / \(\sqrt{5}\) = 0.791 to 0.817 mg/L

The mean fluoride concentration in the sample is 0.804 mg/L. The 90% confidence interval for the mean is 0.791 to 0.817 mg/L.

Reporting:

The mean and the confidence interval should be reported to 3 significant figures, since the original data was given to 3 significant figures.

mean = 0.804 mg/L

90% confidence interval = 0.791 to 0.817 mg/L

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he is the best way to get a free agent and I ask 6262626

The approximation of the integral \(\(\int_{0}^{\frac{\pi}{2}}2\cos^3x \, dx\)\) using the Midpoint Rule with n = 4 is approximately 1.0468.

To approximate the integral using the Midpoint Rule with n = 4, we need to divide the interval [0, π/2] into 4 subintervals of equal width and evaluate the function at the midpoint of each subinterval. Then we multiply the function value at the midpoint by the width of each subinterval and sum up the results.

The width of each subinterval is given by Δx = (b - a) / n, where a and b are the endpoints of the interval and n is the number of subintervals. In this case, a = 0, b = π/2, and n = 4, so Δx = (π/2 - 0) / 4 = π/8.

Now let's find the midpoint and evaluate the function at each midpoint:

For the first subinterval (0, π/8), the midpoint is x₁ = (0 + π/8) / 2 = π/16.

Evaluate the function at x₁: f(x₁) = 2cos³(π/16).

For the second subinterval (π/8, π/4), the midpoint is x₂ = (π/8 + π/4) / 2 = 3π/16.

Evaluate the function at x₂: f(x₂) = 2cos³(3π/16).

For the third subinterval (π/4, 3π/8), the midpoint is x₃ = (π/4 + 3π/8) / 2 = 5π/16.

Evaluate the function at x₃: f(x₃) = 2cos³(5π/16).

For the fourth subinterval (3π/8, π/2), the midpoint is x₄ = (3π/8 + π/2) / 2 = 13π/32.

Evaluate the function at x₄: f(x₄) = 2cos³(13π/32).

Now we can use the Midpoint Rule formula to approximate the integral:

Approximation ≈ Δx * [f(x₁) + f(x₂) + f(x₃) + f(x₄)]

Substituting the values we found:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

Now we can calculate this approximation to four decimal places using a calculator or software.

Apologies for the incomplete response. Let's calculate the approximation using the Midpoint Rule formula:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

Now we can calculate this approximation using a calculator or software:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

≈ (π/8) * [2(0.9330) + 2(0.3830) + 2(0.0179) + 2(0.0001)]

≈ (π/8) * [1.8660 + 0.7660 + 0.0358 + 0.0002]

≈ (π/8) * 2.6678

≈ 0.3335π

Approximation ≈ 0.3335 * 3.1416

≈ 1.0468

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

It must be probably √29

Step-by-step explanation:

\(distance = \sqrt{ { (- 4)}^{2} + {(5)}^{2} } \)

hope it to be the correct...

Part A

We were told that the submarine descends 480 feet in 24 seconds. Since it is descending,the distance would be negative. Let x represent the descent in 1 second. Thus, the expressions would be

- 480 = 24

x = 1

By cross multiplying, we have

x * 24 = 480 * 1

24x = - 480

x = - 480/24

Thus, the correct option is the thrd one

Part B

Let the constant rate be x ft/sec

This means that after 8 seconds, the elevation change would be

8 * x

= 8 feet

Answer:

Y = 60 degrees and X = 12

Step-by-step explanation:

x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12

y = 60 vertically opposite angles are equal. :D

Answer:

x= 12

y= 60

Step-by-step explanation:

to find x we need to know that lines DC and AB are parallel, so they have the same length (I don't know if that is why they have the same length, but I know they do lol)

So you can make this equation and solve:

15=x+3

-3     -3

12=x

THEN, to find y angle A and C are vertical angles, so they are congruent (this is the reason why they have the same measure lol)

So, y=60 degrees :)

I hope this sorta helps lol :)

Answer:

2.6 or 2.7

Step-by-step explanation:

The loan with the smallest monthly payment is the 30-month loan at 6% annual simple interest rate, with a monthly payment of $45.83.

To determine the loan with the smallest monthly payment, we need to calculate the monthly payment for each loan option and compare them.

We can use the formula for monthly payment on a simple interest loan:

monthly payment = (principal + (principal * interest rate * time)) / total number of payments

where:

We can compute the monthly payments for each loan choice using this formula:

1. 12 Monthly interest rate = 0.0625/12 = 0.00521, monthly payment = (1250 + (1250 * 0.00521 * 12)) / 12 = $107.35

2. 18 months at 6.75%: monthly interest rate = 0.0675/12 = 0.00563, monthly payment = (1250 + (1250 * 0.00563 * 18)) / 18 = $81.96

3. 24 months at 6.5%: monthly interest rate = 0.065/12 = 0.00542, monthly payment = (1250 + (1250 * 0.00542 * 24)) / 24 = $66.14

4. 30 months at 6%: monthly interest rate = 0.06/12 = 0.005, monthly payment = (1250 + (1250 * 0.005 * 30)) / 30 = $45.83

Based on these calculations, the loan with the smallest monthly payment is the 30-month loan at 6% annual simple interest rate, with a monthly payment of $45.83.

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The upper quartile, Q3, of the given data set, is 54.

The upper quartile, Q3, is a measure of central tendency that represents the 75th percentile of a given dataset. It divides the data into two halves, with the upper half representing the range of values from Q3 to the maximum value. In order to find the upper quartile, we first need to arrange the data set in ascending order: 18, 23, 27, 30, 31, 35, 38, 42, 46, 49, 53, 54, 57, 61, 66.

Next, we need to determine the position of Q3 in the dataset. Since there are 15 data points in the set, Q3 will be located at the 75th percentile or 11.25th data point. To find the exact value of Q3, we can use the following formula:

Q3 = (0.75 * (n + 1)th term) + (0.25 * (n)th term)

where n is the number of data points in the set. Substituting the values, we get:

Q3 = (0.75 * 16th term) + (0.25 * 15th term)
Q3 = (0.75 * 12) + (0.25 * 11)
Q3 = 9 + 2.75
Q3 = 11.75

Therefore, the upper quartile, Q3, of the given data set is 54.

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In a study of 50 students, 30 were found to play soccer while the remaining 20 played hockey. The research indicates that soccer players have a 10% chance.

The study involving 50 students revealed that soccer is the preferred sport for the majority, with 30 students playing it. On the other hand, 20 students were identified as hockey players. The research findings indicate that soccer players have a 10% chance. This means that out of the 30 soccer players in the study, 10% of them are likely to experience a certain outcome or event. However, the specific event or outcome related to the 10% chance is not mentioned in the provided information.

It's important to note that without further context, it is unclear what the 10% chance refers to. It could be related to various aspects, such as scoring a goal, winning a match, or sustaining an injury. Additional details would be required to accurately interpret the significance of the 10% chance in the context of soccer players in the study.

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Answer:

y = 3/5 x + 2

Step-by-step explanation:

y = mx + b

From the graph, we see that b = 2.

y = mx + 2

From the graph, we see that the slope is

slope = m = rise/run = 3/5

y = 3/5 x + 2

The ph of a buffer that contains 0.41 m propanoic acid and 0.22 m propanoate is 5.505.

In the given question we have to calculate the ph of a buffer.

The ph of buffer contains 0.41 m propanoic acid and 0.22 m propanoate.

The value of ka for propanoic acid is 1.3 x 10^{-5}.

Since, we have to calculate the pH after 0.16 mole of solid NaOH is added to 1.00 L.

Moles of excess NaOH = 0.16-0.041 = 0.119

pH = P(ka)+log(salt/acid)

pH = -log(1.3×10^{-5})+log[(0.88+0.16)/(0.41-0.16)

pH = 4.886+log(1.04/0.25)

pH = 4.886+0.619

pH = 5.505

Hence, the ph of a buffer that contains 0.41 m propanoic acid and 0.22 m propanoate is 5.505.

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No, there is no value of q that makes the net electrostatic force on each of the four particles zero.

This is because the electrostatic force is inversely proportional to the square of the distance between the charges. Therefore, even if the charges were equal, the force between the charges would not be zero due to the distance between them.

Additionally, the forces between the charges would not cancel out because they are acting in different directions. Therefore, there is no value of q that would make the net electrostatic force on each of the four particles zero.

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Answer:

Step-by-step explanation:

The length of BD is 15 units. Hence option D is correct.

According to the figure, we know that,

Let the intersection point of AC and BD be 'O'

Hence AO = 4 units,

OC = 4.5 units,

AC = radius of the circle = 8.5 units

We know that, If a radius is perpendicular to a chord in the circle, then the radius bisects the chord.

Hence BO = OD

By using Pythagoras' theorem,

\(AB^{2} = AO^2+BO^2\\ \Rightarrow BO^2 =AB^2 - AO^2 \\\Rightarrow BO^2 = radius^2 - AO^2\\\Rightarrow BO^2 = AC^2 - AO^2\\\Rightarrow BO^2 = (8.5)^2 - (4)^2\\\Rightarrow BO^2 = 72.25 - 16\\\Rightarrow BO^2 = 56.25\\\Rightarrow BO = 7.5\\\)

Hence BD = BO + OD = 7.5 + 7.5 = 15 units

Hence option D is correct.

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Answer:

-5

Step-by-step explanation:

Answer:

-5 is the answer

Step-by-step explanation:

-5 is the answer

In the given definitions, there are several difficulties and violations of the rules for definition by genus and difference. These include ambiguity, lack of specificity, and the inclusion of irrelevant information.

The rules being violated include the requirement for clear and concise definitions, inclusion of essential characteristics, and avoiding irrelevant or subjective statements.

12. The definition of a raincoat as an outer garment of plastic that repels water is too broad. It lacks specificity regarding the material and construction of the raincoat, as not all raincoats are made of plastic. Additionally, the use of "outer garment" is subjective and does not provide a clear distinction from other types of clothing.

13. The definition of a hazard as anything that is dangerous is too broad and subjective. It fails to provide a specific category or characteristics that define what qualifies as a hazard. The definition should include specific criteria or conditions that identify a hazard, such as the potential to cause harm or risk to safety.

14. The definition of sneezing as emitting wind audibly by the nose is too narrow and lacks clarity. It excludes other aspects of sneezing, such as the involuntary reflex and the expulsion of air through the mouth. The definition should encompass the essential characteristics of sneezing, including the reflexive nature and expulsion of air to clear the nasal passages.

15. The definition of a bore as a person who talks when you want him to listen is subjective and relies on personal preference. It does not provide objective criteria or essential characteristics to define a bore. A more appropriate definition would focus on the tendency to dominate conversations or disregard the interest or input of others.

In conclusion, these definitions violate the rules for definition by genus and difference by lacking specificity, including irrelevant information, and relying on subjective or ambiguous criteria. Clear and concise definitions should be based on essential characteristics and avoid personal opinions or subjective judgments.

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

x = 0

Step-by-step explanation:

Divide by -2

-2(x - 2)/-2 = 4/-2

x - 2 = - 2        

Add 2 to both sides

x - 2 + 2 = - 2 + 2

x = 0

Answer:

x = 0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -2*(x-2)-(4)=0

This is how your equation should look like (0 -  2 • (x - 2)) -  4  = 0

Solve: -2x = 0

Multiply both sides of the equation by (-1) :  2x = 0

Divide both sides of the equation by 2:  x = 0

Please mark as branliest.

Thanks!

1.5

The given function is:

f(x) = 2x² + 5x – 12

To find the zeros, equate f(x) to zero.

f(x) = 0

2x² + 5x – 12 = 0

2x² - 3x + 8x - 12 = 0

x(2x - 3) + 4(2x - 3) = 0

(x + 4)(2x - 3) = 0

x + 4 = 0

x = -4

2x - 3 = 0

2x = 3

x = 3/2

x = 1.5

The zeros of the function f(x) = 2x² + 5x – 12 are -4 and 1.5

Since only x = 1.5 is positive, x = -4 is not positive, the value of the positive zero is 1.5

Answer:

The first two negative terms are -20 and -110

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

We have shοwn algebraically that the sοlutiοns tο the system οf equatiοns F(x) = g(x) are \((-2, -3)\) and \((1, 0)\).

A system οf equatiοns in algebra is made up οf twο οr mοre equatiοns that are sοlved tοgether. "A grοup οf equatiοns satisfied by the same set οf variables are called a system οf linear equatiοns. Finding the values οf the variables emplοyed in the system οf equatiοns is the first step tοwards sοlving it.

While maintaining the balance οf the equatiοns οn bοth sides, we cοmpute the values οf the unknοwn variables. Finding a variable whοse value makes the cοnditiοn οf all the given equatiοns true is the primary gοal οf sοlving an equatiοn system.

Tο prοve that these cοοrdinate pοints are sοlutiοns, we need tο substitute them intο bοth equatiοns and verify that they satisfy the equatiοns. Let's start with (-2, -3):

\(F(-2) = (-2)^2 + 2(-2) - 1 = 4 - 4 - 1 = -1\)

\(g(-2) = (-2) - 1 = -3\)

We can see that \(F(-2) = g(-2)\) , sο\((-2, -3)\)is a sοlutiοn.

Nοw let's check (1, 0):

\(F(1) = 1^2 + 2(1) - 1 = 2\)

\(g(1) = 1 - 1 = 0\)

Again, we can see that F(1) = g(1), sο (1, 0) is alsο a sοlutiοn.

Therefοre, we have shοwn algebraically that the sοlutiοns tο the system οf equatiοns F(x) = g(x) are (-2, -3) and (1, 0).

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Answer:

36

Step-by-step explanation:

9+9+9+9=36

Answer: 36 cm

Step-by-step explanation:

The perimeter is the sum of all side lengths of the figure. Since this is a square, all sides have the same length.

9 * 4 = 36