Trying find out which is true

Answer:

257,074 people

Step-by-step explanation:

Growth rate is expressed using the formula

P(t) = Po ( 1 + r) ^t

Where

P(t) = Population after time t

Po = Initial Population = 150,000 people

r = Growth rate

t = time in years = 7

From the Question:

1 + r has been given as 1.08

Hence:

P(t) = P(7) = 150,000(1.08)⁷

P(7) = 257,073.64032 people

Approximately to the nearest whole number is:

257,074 people

Therefore, the number of people that attended the festival in the 7th year is 257,074 people

Answer:

---------------------------

Each angle is the half the difference of intercepted arcs, calculated as below:

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

The first one

Step-by-step explanation:

In each subsequent leap year, February 25th will be on the next day of the week.

To determine the day of the week for February 25th in leap years, we can use the fact that every leap year is divisible by 4. This means that the date will shift by one day of the week each leap year.

Since February 25th falls on a Thursday, we can start counting the number of leap years from that year and determine the day of the week for subsequent leap years.

Here is the pattern:

In the first leap year (4 years after the starting year), February 25th will be on a Friday.

In the second leap year (8 years after the starting year), February 25th will be on a Saturday.

In the third leap year (12 years after the starting year), February 25th will be on a Sunday.

In the fourth leap year (16 years after the starting year), February 25th will be on a Monday.

In the fifth leap year (20 years after the starting year), February 25th will be on a Tuesday.

In the sixth leap year (24 years after the starting year), February 25th will be on a Wednesday.

In the seventh leap year (28 years after the starting year), February 25th will be on a Thursday.

In the eighth leap year (32 years after the starting year), February 25th will be on a Friday.

And so on.

From this pattern, we can see that every four years, the day of the week for February 25th will advance by one day. This is because each leap year adds an extra day to the calendar, shifting all subsequent dates by one day.

Therefore, for example, if February 25th falls on a Thursday in a non-leap year, it will be on a Friday in the next leap year, Saturday in the following leap year, and so on.

In summary, the day of the week for February 25th will advance by one day in each subsequent leap year.

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The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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Answer:

She bought 2 long sleeve shirts and 4 t-shirts

Step-by-step explanation:

Let number of long sleeves = x

Let number of t-shirts = y

x+y=6

∴y=6-x

14x+4y=44

14x+4(6-x)=44

14x+24-4x=44

10x=20

x=2

y=6-x

=6-2=4

ANS: She bought 2 long sleeve shirts and 4 t-shirts

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

David should divide both sides of the equation by 9 to find the missing number. This will give him the value of the number that belongs in the parentheses.

Answer:

The answer is A

Step-by-step explanation:

this isnt my answer it is someone named baylee in the comments, i tried it and it was right .

As per the given data, the slope-intercept form of the first equation is y = x - 5, which is represented by option A.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

The equation that represents the first equation written in slope-intercept form is:

y = x - 5

To convert the equation 5x - 2y = 10 into slope-intercept form, we need to isolate y on one side of the equation.

Starting with 5x - 2y = 10:

Subtract 5x from both sides: -2y = -5x + 10

Divide both sides by -2: y = (5/2)x - 5

Now, we can simplify the expression (5/2)x - 5 to the form y = mx + b, where m is the slope and b is the y-intercept.

Therefore, the correct option is A.

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Answer:

1

Step-by-step explanation:

The length of w is 7.863 cm.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

As, per the Sine law

a/ sin A = b / sin B

So, 7.8 / sin 78 = w / sin 76

7.8 / 0.9702 = w / 0.9781

8.0395 = w / 0.9781

w = 7.863 cm

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Answer:

AD || CB

Step-by-step explanation:

Parallel lines always have a equal distance in between them. For example lines BA & CA isn't parallel because CA is slatnted and doesn't run along BA like the tracks of a train. Hopefully that makes sense lol

The expression that represents the model is 450 - 200

The given parameters are:

Initial = 450

Check = 200

The balance after the 3 checks is:

Balance = 450 - 200

hence, the expression that represents the model is 450 - 200

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Answer:440.925

Step-by-step explanation:

Answer:

440.9 -> If you must round, then 441

Step-by-step explanation:

kg x 2.205 = lb
200 x 2.205 = 441


mark brainliest

Answer:

x = 9, ∠ B = 40°

Step-by-step explanation:

∠ A and ∠ B are corresponding angles and congruent, so

5x - 5 = 3x + 13 ( subtract 3x from both sides )

2x - 5 = 13 ( add 5 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

∠ B = 3x + 13 = 3(9) + 13 = 27 + 13 = 40°

The value of the x is 9 and the measure of the angle B is 40 degrees because two parallel lines are cut by a transversal line the adjacent angle made will be equal.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

We have:

The angle measurements in the diagram are represented by the following expressions:

When the two parallel lines are cut by a transversal line the adjacent angle made will be equal:

Angle A = Angle B

5x - 5 = 3x + 13

Solving the above linear equation:

5x - 3x = 5+13

2x = 18

x = 9

The measure of the angle B = 3x + 13

= 3(9) + 13

= 27 + 13

= 40 degrees

Thus, the value of the x is 9 and the measure of the angle B is 40 degrees because two parallel lines are cut by a transversal line the adjacent angle made will be equal.

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Based on Chebyshev's Theorem, we can conclude that the lower bound for the number of bags in a sample of 225 that weigh between 335 and 371 gm is 200 bags.

Chebyshev's Theorem states that for any given number k greater than 1, at least (1 - 1/k²) of the data values in a dataset will fall within k standard deviations of the mean.

In this case, we have a sample size of 225 bags and a mean weight of 353 gm with a standard deviation of 6 gm.

To find a lower bound for the number of bags that weigh between 335 and 371 gm, we need to calculate the range within k standard deviations of the mean.

First, let's find the number of standard deviations for the given range:

Lower range: (335 - 353) / 6 = -3

Upper range: (371 - 353) / 6 = 3

Since we want to find the lower bound, we consider the lower range and use its absolute value: |-3| = 3.

Now, we can use Chebyshev's Theorem to find the lower bound:

(1 - 1/k²) ≤ (1 - 1/3²) = 1 - 1/9 = 8/9

This means that at least 8/9 of the bags will fall within 3 standard deviations of the mean.

To find the lower bound for the number of bags, we multiply this probability by the sample size:

Lower bound = (8/9) * 225 = 200

Therefore, based on Chebyshev's Theorem, we can conclude that the lower bound for the number of bags in a sample of 225 that weigh between 335 and 371 gm is 200 bags.

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A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

For given question,

Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,

Thus,

Quantity of glycerin in 12 liters + Quantity of glycerin in x

= Quantity of glycerin in resultant mixture.

⇒ 8% of 12 + 100% of x = 16% of (12 + x )

⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )

⇒ 0.96 + x = 0.16 × 12 + 0.16x

⇒ 0.96 + x = 1.92 + 0.16x

⇒ x - 0.16x = 1.92 - 0.96

⇒ 0.84x = 0.96

⇒ x = 1.143 liters

Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

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Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

Answer:

109.

Step-by-step explanation:

62+41+(2)+(4)       we can remove the brackets:

= 62 + 41 + 2 + 4

= 109.

we'll divide 10 by 5..the answer is 2 then we'll add it to the other 5 making it to be 7

Answer: 7

How to: To add fractions, find the LCD and then combine.

Answer:

Sorry i don't know this one

Step-by-step explanation:

It's simple to do it yourself. just keep trying

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Thus, 25.13 cubic inches is the closest estimate for the ice cream's overall volume.

Volume is a mathematical concept that describes how much space a three-dimensional object occupies. It is frequently expressed in terms of cubic units like cubic metres (m3), cubic feet (ft3), or cubic centimetres (cm3). Depending on the shape of the object, different formulas can be used to determine its volume. Consider this: The formula V = l w h, where l has been the length, w is the broad, and h corresponds to the height of the rectangular prism (box), gives the volume of the object. A sphere's volume can be calculated using the method V = (4/3)r3, where r is the sphere's radius.

given

The formula for a cone's volume is as follows, assuming that the ice cream has the correct circular cone shape with radius r = 2 in and height h = 6 in:

\(V = (1/3) * \pi * r^2 * h\)

Inputting the values provided yields:

\(V = (1/3) * \pi * (2 in) * (2 in) * (6 in)\) = 25.13 cubic inches

Thus, 25.13 cubic inches is the closest estimate for the ice cream's overall volume.

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The complete question is:-  

r = 2 in.

h = 6 in.

Which is closest to the total volume of the ice

cream?

Step-by-step explanation:

a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.

a = (145 + 45)/2 = 190/2 = 95°

b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).

b = 180 - 95 = 85°

Answer:

Because a 2 or a 4 was rolled 3 out of 12 times in the experiment, t so the fraction would be 3/12 (or 3 over 12).

Simplified: 1/4 (or 1 over 4)

Step-by-step explanation:

Jerome deposits $3,700 in a certificate of deposit that paya on Interest, compounded

annually. How much interest does Jerome earn in 1 year? (