The population of Columbus in 2015 was 840,000 people. In 2018 (three years later), The population grew to 972,405 people. Write an exponential equations that models this situation.

The pharmaceutical company uses the quantitative variable to conducts an experiment.

Variables:

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Given,

A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.

And  the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.

Here we need to find the kind of variable is the company​ studying.

Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.

So, the experiment uses the Qualitative Variable.

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The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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a. z-score for 14 is approximately 0.23

b. z-score for 15 is approximately 0.47

c. z-score for 4 is approximately -2.10

d. z-score for 6 is approximately -1.64

To calculate the z-score of a value, we use the formula:

z = (x - μ) / σ

where x is the value, μ is the mean of the sample data, and σ is the standard deviation of the sample data.

First, let's calculate the mean and standard deviation of the sample data:

Mean (μ) = (16 + 9 + 19 + 11 + 7 + 12) / 6 = 13

Standard deviation (σ) = √[((16-13)² + (9-13)² + (19-13)² + (11-13)² + (7-13)² + (12-13)²) / 6] ≈ 4.28

a. To calculate the z-score of 14:

z = (14 - 13) / 4.28 ≈ 0.23

b. To calculate the z-score of 15:

z = (15 - 13) / 4.28 ≈ 0.47

c. To calculate the z-score of 4:

z = (4 - 13) / 4.28 ≈ -2.10

d. To calculate the z-score of 6:

z = (6 - 13) / 4.28 ≈ -1.64

Therefore, the z-score for 14 is approximately 0.23, the z-score for 15 is approximately 0.47, the z-score for 4 is approximately -2.10, and the z-score for 6 is approximately -1.64.

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Answer:

Do like this

Step-by-step explanation:

For which value of k will the following pair of linear equations have no solution?

3x+

y=

1

(2k−

1)x+

(k−

1)y=

2k+

1

Answer:

h = 6 cm

Step-by-step explanation:

Volume of cylinder = 54 π cm³

πr²h = 54π

π * 3 * 3 * h = 54π

\(h = \frac{54 \pi }{\pi *3*3}\\\\h= 6\)

The equation of the line passing through (3,4) and having slope m = 3/2 is y = 3/2x + 4.

Given points : (3,4)

The equation of a line with slope 3/2 and passing through point (3,4) is y = 3/2x + 4. This equation can be used to calculate the y-coordinate of any point on the line, given its x-coordinate. For example, if the x-coordinate of a point is 6, then its corresponding y-coordinate is 11. In general, for any x-coordinate, the corresponding y-coordinate is given by 3/2 times the x-coordinate plus 4.

Given slope : m = 3/2

We know that the equation of a line with slope m and passing through point (x1, y1)is given by :

y - y1 = m(x - x1)

Substituting the given values, we get

y - 4 = 3/2(x - 3)

Simplifying equation, we get

y = 3/2x + 4

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Answer:

y = x + 2

Step-by-step explanation:

     Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

No boat may be rented for more than t 7.5.

The larger than symbol (>), just under symbol (), more than or equal to symbol (), less than or similar to symbol (), but not equal to symbol () are the four inequality symbols in mathematics.

Relationships among two expressions that aren't equivalent to one another are known as inequalities.The symbols, >,, and, are used to denote inequalities. translates form right to left as "7 is larger than" or "is less than 7."

The phrase "at most" means "less than or equivalent to." Hence, the lesser than or equivalent to sign will be used to represent the disparity. The hourly rate for the boat is $6, which is equivalent to:

6t

A discount coupon means subtracting $4 from the 7t:

\(6t-3\)

When these are placed with the inequality:

6t - 3 ≤ 45

Solving this inequality means isolating the variable. To do this, adding 4 to both sides will be the first step.

6t ≤ 45

Finally, dividing both sides by 6 will get the final answer of 7.5, meaning the possible number of hours they could rent the boat is no more than 7.5.

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The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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The correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

The angle of the sun above the horizon at noon on December 21 depends on the latitude of your city. Since you mentioned that you live at 60°N, we can determine the angle using some knowledge about the tilt of the Earth and the seasons.

On December 21, the winter solstice, the Northern Hemisphere is tilted away from the sun. This means that the angle of the sun above the horizon at noon is lower than on other days of the year.

To calculate the angle, we need to subtract the latitude of your city (60°N) from the tilt of the Earth (23.5°).

So, the angle of the sun above the horizon at noon on December 21 in your city would be:
23.5° - 60° = -36.5°

The negative sign indicates that the sun is below the horizon at noon on December 21. Therefore, the correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

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Answer:

x = 2

Step-by-step explanation:

The measure of minor arc FD is 51x + 1

The measure of major arc FD is 360 - (51x + 1)

m<E = ½[m(major arc FD) - m(minor arc FD)]

36x + 5 = ½[360 - (51x + 1) - (51x + 1)]

72x + 10 = 360 - 51x - 1 - 51x - 1

174x = 348

x = 2

Answer: $19.02

Step-by-step explanation:

First find the sales tax paid. It will be paid on the cost of the meal:

= 14.20 * 8%

= $1.14

Then find the tip which was done after the sales tax was added:

= 24% * (14.20 + 1.14)

= 24% * 15.34

= $3.68

The total cost is:

= Gross amount + Sales tax + tip

= 14.20 + 1.14 + 3.68

= $19.02

The algorithm you should use to visit every place connected to a vertex and its adjacent vertices is called Depth-First Search (DFS).

DFS explores a graph by traversing as far as possible along each branch before backtracking. It starts at the chosen vertex and explores as deep as possible before backtracking and exploring other paths. It uses a stack to keep track of the vertices to visit.

In the context of visiting every connected place from a starting vertex, DFS would allow you to systematically explore all connected vertices, ensuring that you visit each one before moving on to the next unexplored vertex.

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The Child and Dependent Care Credit is a tax credit that helps parents and families pay for the care of their children and other dependents while they work, are looking for work, or are going to school.

Childcare and nursing care costs money! Luckily, there are tax deductions to cover the costs. If you had to pay someone to care for your children, family members, or spouse, find a job, go to school, or because of a disability, Child and Dependent Care credits are available.

You are generally eligible for the Child and Caregiver Tax Credit if you meet all of the following conditions:

For year 2022, the Child and Caregiver Tax Credit is non-refundable. For eligible employment-related expenses, taxpayers can claim up to $3,000 for each eligible individual or one child, and up to $6,000 for two or more eligible individuals or children.

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An estimate of the real height of the lamp post is 9m.

The first step is to determine the scale of the drawing. The scale can be determined by dividing the height of the lamp post by the height of the car. The height of the lamp post when measured with a ruler is 10.8 cm and the height of the car is 1.8cm

Scale = length of the lamp post / height of the car

10.8 / 1.8 = 6

Now, multiply the scale by the width of the car.

The real height of the lamp post = 6 x 1.5 = 9m

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Answer:

5ab + 8 - 1a^2.

Step-by-step explanation:

Combining like terms, we get 3a^2 - 4a^2 = -1a^2. We get 9ab - 4ab = 5ab. Then we get, 5 + 3 = 8. Together this is 5ab + 8 - 1a^2

Answer:

-\( {a}^{2} + 5ab + 8\)

solution,

\(3 {a}^{2} + 9ab + 5 - 4 {a}^{2} - 4ab + 3\)

collect like terms:

\(3 {a}^{2} - 4 {a}^{2} + 9ab - 4ab + 5 +3\)

Simplify:

\( - {a}^{2} + 5ab + 8\)

hope this helps ..

Good luck on your assignment..

Answer:

K= 11

Step-by-step explanation:

You solve for K by subtracting 14 by 25.

25-14= 11

When k is pluged into k\(\geq\) 11 the statement is true because it is equal to 11.

When plugged into k+14\(\geq\)25;

11+14 =25.

That statement is also true because 25 is equel to 25.

Flo should walk 60 extra minutes of time per day to accomplish her goal of walking 12,000 total steps per day.

Calculating the Time for Which Flo Walks Each Day

Flo walks 6,000 steps per day.

She walks 100 steps per minute.

⇒ Time taken by Flo to cover 6,000 steps = \(\frac{6000}{100}\) minutes

⇒ Time taken by Flo to cover 6,000 steps, m₁ = 60 minutes

Hence, Flo walks for 60 minutes or 1 hour per day.

Calculating the Extra Hours of Walking

Steps to be covered by Flo each day = 12,000

Time required to walk 12,000 steps per day, m₂ = \(\frac{12000}{100}\) minutes

⇒ m₂ = 120 minutes

Extra hours of walk per day = (m₂-m₁) minutes

= (120 - 60) minutes

= 60 minutes

Thus, Flow should walk 1 hour extra to be able to accomplish a goal of walking 12,00 steps per day.

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Answer:

B.consecutive interior angles

Answer:

10 times

Step-by-step explanation:

Here, we want to get the number of times the three bells toll together

Now, what we have to do here is to find the number of seconds it will take them to fill together

To find this, we need to get the lowest common multiple of 12, 15 and 18

The lowest common multiple of these three numbers is ;

180

180 seconds

Now, since 60 seconds is 1 minute

The number of minutes in 180 seconds is 180/60 = 3 minutes

So, as we can see, they can sound together once in 3 minutes;

The number of times they will sound together in 30 minutes is 30/3 = 10 times

1. 4.167 radians does colton sweep out.

2. 238.1° degrees does colton sweep out.

3. 0.344 km is colton to the right of the center of the ski trail.

4. 0.139 km is colton above the center of the ski trail.

Question analysis Colton is skiing on a circular ski trail with a radius of 0.6 km.

Colton starts at the 3-o'clock position and travels 2.5 km in the counterclockwise direction.

There are four parts to this question: How many radians does Colton sweep out.

Radians refer to the distance covered by the object in circular motion around the circumference.

We can determine this using the formula:

θ = s / r

Where θ is the angle in radians, s is the length of the arc, and r is the radius of the circle.

Substituting the given values,θ = 2.5 km / 0.6 km= 4.167 radians.

Degrees does Colton sweep out:

We know that 180° = π radians

So, we can convert radians to degrees by multiplying it by

180° / πθ = 4.167 radians x (180° / π) ≈  238.1°

When Colton stops skiing, how many km is Colton to the right of the center of the ski trail.

The displacement of the skier from the center is the same as the horizontal distance.

We can use trigonometry to calculate this distance.

From the given position, we know that Colton has travelled 2.5 km along the circumference of the circle.

This is equivalent to the angle swept by Colton (4.167 radians) multiplied by the radius of the circle (0.6 km).Using trigonometry, we can determine the horizontal distance as:

d = r cos(θ)

Where d is the horizontal distance, r is the radius, and θ is the angle swept by Colton.

d = 0.6 km x cos(4.167)≈ 0.344 km.

When Colton stops skiing, how many km is Colton above the center of the ski trail?The vertical distance from the center of the circle can be calculated using trigonometry.

We can use the same method as above to calculate the vertical distance as:

v = r sin(θ)

Where v is the vertical distance, r is the radius, and θ is the angle swept by Colton.

v = 0.6 km x sin(4.167) ≈ 0.139 km

Colton sweeps out 4.167 radians ≈ 238.1°.

When Colton stops skiing, he is to the right of the center of the ski trail by ≈ 0.344 km.

When Colton stops skiing, he is above the center of the ski trail by ≈ 0.139 km.

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Answer: Part C 32 bits

Step-by-step explanation: because each tablet has 16 bits.

I only have part C. Sorry

Answer:

c- 3.2 x10^11 bits of storage

d- 2.176 x10 ^12

e- 5.824 x10^12

Step-by-step explanation:

The first 5 terms in the power series solution at x = 0 are: y(x) = 1 - 2/3x² + 8/15x⁴ + O(x⁶)

Given differential equation:y" + xy + y = 2

The power series solution is given as:

y(x) = Σ n=0 to ∞ anxn

Now, to find the first 5 terms in the power series solution at x = 0, we need to substitute the power series solution in the given differential equation and equate the coefficients of like powers of x

So, differentiating y(x) twice, we get:

y'(x) = Σ n=0 to ∞ nanxn-1y''(x) = Σ n=0 to ∞ na(n-1)xn-2

Substituting these values in the differential equation:

y'' + xy + y = 2Σ n=0 to ∞ na(n-1)xn-2 + xΣ n=0 to ∞ anxn + Σ n=0 to ∞ anxn = 2Σ n=0 to ∞ 2anxn

Rearranging the terms:

Σ n=2 to ∞ na(n-1)xn-2 + Σ n=0 to ∞ (n+1)an+1xn + Σ n=0 to ∞ anxn = Σ n=0 to ∞ 2anxn

Comparing the coefficients of like powers of x:

For n = 0:a0 + a0 = 2a0So, a0 = 1For n = 1:2a1 + a1 = 0a1 = 0For n = 2:3a2 + 2a0 = 0a2 = -2/3For n = 3:4a3 + 3a1 = 0a3 = 0For n = 4:5a4 + 4a2 = 0a4 = 8/15

Therefore, the first 5 terms in the power series solution at x = 0 are:

y(x) = 1 - 2/3x² + 8/15x⁴ + O(x⁶)

Alternatively, using the given initial conditions of ao = 2 and a₁ = -1:y(x) = 2 - x + (1/6)x³ - (1/120)x⁵ + O(x⁷)

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Answer:

60cm

Step-by-step explanation:

1 meter = 100cm

3/5 x 100 = 60

a. The value of x in the circle is 67 degrees.

b. The value of x in the circle is 24.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore, using the chord intersection theorem,

a.

51 = 1 / 2 (x + 35)

51 = 1 / 2x + 35 / 2

51 - 35 / 2 = 0.5x

0.5x = 51 - 17.5

x = 33.5 / 0.5

x = 67 degrees

Therefore,

b.

If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc.

61 = 1 / 2 (10x + 1 - 5x + 1)

61 = 1 / 2 (5x + 2)

61 = 5 / 2 x + 1

60 = 5 / 2 x

cross multiply

5x = 120

x = 120 / 5

x = 24

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\(\Huge \bf \underline {\underline{Answer}}\)

\( \sf1. \: \: \sf⟹\bigstar \underline {\boxed {\red{ \bf{1 \frac{1}{6} }}}}\)

\( \\ \)

\( \sf2. \: \: \it \sf⟹\bigstar \underline {\boxed {\red{ \bf{30}}}}\)

\(\Huge \bf \underline {\underline{Solution}}\)

\( \sf1. \: \: \: \: \frac{2}{3} + \frac{2}{4} \times \frac{2}{2}\)

\( \sf ⟹\frac{2}{3} + \frac{2}{4} \times 1\)

\( \sf ⟹ \frac{2}{3} + \frac{2}{4} \)

\(⟹ \sf \: \frac{7}{6} \)

\( \sf⟹\bigstar \underline {\boxed {\red{ \bf{1 \frac{1}{6} }}}}\)

\( \\ \)

\( \sf2. \: \: \: \: 5 {}^{2} + 5\)

\( \sf⟹(5 \times 5) + 5\)

\( \sf⟹25 + 5\)

\( \sf⟹\bigstar \underline {\boxed {\red{ \bf{30}}}}\)

Answer: the answer is: 500,000

Answer:

2 * 5⁴

Step-by-step explanation:

Given :

Number of cubes = 10

Side length, a of each cube = 5

The volume of a cube = (side length)³

Hence, the volume of each of Han's cube = 5³

Therefore, the total volume will be :

Volume or cube * number of cubes

5³ * 10

10 = 2 * 5 = 2 * 5¹

5³ * 2 * 5¹

2 * 5^(3 +1)

2 * 5⁴

Answer: The slope between the points (0,-1) and (2,-5) is (-5 - (-1)) / (2 - 0) = -4 / 2 = -2.

Step-by-step explanation: