What are the first 3 whole numbers?

\((36911.22/500) = 12x ln(1 + r)ln(36911.22/500) = 12x(0.0083333333)ln(36911.22/500) = 0\).0083333333x

Multiply both sides by 1000 and divide both sides by 0.0083333333 to get: x = 35.

Let x be the age of the person. When the person was born, their parents opened an investment account in their name and deposited $500 into the account.

Let A be the value of the investment account when the person is x years old.

The interest rate is 10% compounded monthly. Then, the monthly interest rate is

\(:r = (10/12)/100 = 0.0083333333\)

The account has earned interest for 12 * x months.

Hence, we have:

\(A = 500(1 + r)^(12x)\)

Now, we can solve for x.

A = 36911.22.

Hence:\(36911.22 = 500(1 + r)^(12x)\)

Take the natural logarithm of both sides to solve for x.

\(ln(36911.22/500) = 12x ln(1 + r)ln(36911.22/500) = 12x(0.0083333333)ln(36911.22/500) = 0.0083333333x\)

Multiply both sides by 1000 and divide both sides by 0.0083333333 to get: x = 35.

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y= sin(x) + 4 is the formula of the function where x is entered in radians.

To determine the equation of the sinusoidal function based on the given information, we can start by finding the amplitude, period, and phase shift.

Amplitude:

The distance between the midline and the minimum point is the amplitude.

The minimum point is (0, 3), and the midline is at y = 4. So the amplitude is |3 - 4| = 1.

The period is the distance it takes for the sinusoidal function to complete one full cycle.

Therefore, the period is 2π.

Phase shift is the  horizontal shift of the graph.

The minimum point is at (0, 3), which means there is no phase shift.

y = Asin(Bx - C) + D

where:

A represents the amplitude,

B represents the frequency (2π divided by the period),

C represents the phase shift,

D represents the vertical shift (the midline value)

y = sin((2π/2π)x - 0) + 4

= sin(x) + 4

Hence, y= sin(x) + 4 is the formula of the function where x is entered in radians.

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Answer:

25.12 in.

Step-by-step explanation:

C = 2πd

C = 2 × 3.14 × 4 in.

C = 25.12 in.

The scale for the model length of the fuselage obtained by taking the ratio of the model length and the actual length is 0.125

Actual Length of fuselage = 170 feets

Length of fuselage on model = 21.25

To obtain the scale of the model, we take the ratio of the model length and the actual length :

Therefore, the scale for the model length of the fuselage is 0.125

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Answer:

The correct options are;

g(x) = -0.27·x² + x  + 5

h(x) = 2·㏒(x + 1) + 5

Step-by-step explanation:

To answer the question, we substitute x = 1.9 seconds into the given options as follows;

1) For f(x) = √(1.6·x) + 5

When x = 1.9 seconds, we have;

y = f(1.9) = √(1.6×1.9) + 5 = 6.74 which is not equal to the given height of 5.9 meters

Therefore, f(x) = √(1.6·x) + 5 does not model the height of the drone y as a function of time, x

2) For g(x) = -0.27·x² + x  + 5

When x = 1.9 seconds, we have;

y = g(1.9) = -0.27×1.9^2 + 1.9  + 5 = 5.93 meters, which is approximately 5.9 meters to one place of decimal

Therefore, the function, g(x) = -0.27·x² + x  + 5,  approximately models the height of the drone y as a function of time, x

3) For h(x) = 2·㏒(x + 1) + 5

When x = 1.9 seconds, we have;

y = h(1.9) = 2·log(1.9 + 1) + 5 = 5.92 meters,

The function, h(x) = 2·㏒(x + 1) + 5,  approximately models the height of the drone y as a function of time, x

4) For j(x) = -∛(-1.4·x - 1) + 5

When x = 1.9 seconds, we have;

y = j(1.9) = -∛(-1.4×1.9 - 1) + 5 = 6.54 meters

The function j(x) = -∛(-1.4·x - 1) + 5 does not model the height of the drone y as a function of time, x

5) For k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5

When x = 1.9 seconds, we have;

y = k(1.9) = -1.2×1.9^3 + 2.6×1.9^2 - 0.5×1.9 + 5 = 5.21 meters

Therefore, the function, k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5, does not model the height of the drone y as a function of time, x

Sebastian, this is the solution to the first problem you uploaded:

Let's recall that the interior angles of a triangle add up to 180 degrees.

Then if E =

Answer:

14.9 km/hr

Step-by-step explanation:

We know

Speed = Distance/ Time

v = 82km / 5.5 hr

v = 14.90 km/hr

Step-by-step explanation:

Distance = 82 km

Time = 5.5 hours

Speed = Distance / Time

= 82 / 5.5

= 14.91 km/hour

The state income task owed on a salary of $60,000 per year according to the given ranges is; $3,450.

It follows from the task content that for incomes of 17, 001 and above, the tax rate is; 5.75% .

Hence, it follows that for an individual whose in one is $60,000 per year, the state income tax owed is;

Tax = 5.75% of $60,000

= $3,450

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Answer:14hrs

Step-by-step explanation:joan=10hrs

                                           joan+sally=3hrs

representing joan and sally's time taken in fractions 1/10+-------=1/3

1/3-1/10=7/30

7/30 by 60min(in an hour)

=14hrs

Answer:

  see attached

Step-by-step explanation:

Each grid square represents 5 m, so the distances shown on the grid will be scaled appropriately.

The 25 m base dimension will be represented by (25 m)/(5 m/square) = 5 squares.

The 30 m height dimension will be represented by (30 m)/(5 m/square) = 6 squares.

The attached drawing shows the triangle with base 25 m and height 30 m on a 5 m grid.

Mine is not heating up I don't know about others

Answer:

500000000

Step-by-step explanation:

50,000 percent is or 1,000,000 is 500000000. I hope this is correct. I did the answer by multiplying them together.

Answer:I think its 2

Step-by-step explanation:Im not really sure but i think thats the answer

Answer:

2

Step-by-step explanation:

A probability is a number that reflects the chance or likelihood that a particular event will occur.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. The simplest example is a coin flip. When you flip a coin there are only two possible outcomes, the result is either heads or tails.

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6)

Hence, the value of x=2, and the measure of angle MKL is 73 degrees

8)

Hence,

Answer:

13 units.

Step-by-step explanation:

We can find distance between points by using the following formula:

\(\sqrt{(change in x)^2+(changeiny)^2}\)

The change in x is -5, and change in y is 12. Let's apply this to the formula.

\(\sqrt{(-5)^2+(12)^2}\). Evaluate this, and we get 13.

Hope this helped!

Answer:

45/4 inches closer 11

Step-by-step explanation:

16/9 = 20/x

9/4= x/5

45/4 inches = x

11< x< 12

To use a centimeter ruler to measure a matchstick, place the ruler parallel to the matchstick, aligning the zero mark with one end. Identify the nearest centimeter mark and estimate the millimeter measurement by looking at the divisions between centimeters and smaller increments for more precision.

To begin, ensure the centimeter ruler is in good condition and properly calibrated. Lay the matchstick on a flat surface, making sure it is straight. Position the ruler next to the matchstick, aligning the zero mark with one end while keeping it parallel to the matchstick. Observe the other end of the matchstick and identify the nearest centimeter mark on the ruler to the left of the end point. This represents the whole centimeter measurement. Next, look at the lines or ticks between the whole centimeter marks. Each centimeter is divided into 10 millimeter intervals. Estimate the length of the matchstick by identifying the millimeter line that aligns with the end of the matchstick. For more precise measurements, use the smaller divisions on the ruler. Each millimeter is further divided into smaller increments called tenths of a millimeter. Estimate the length by identifying the smallest increment that aligns with the end of the matchstick. Record the measurement by noting the number of centimeters, followed by the number of millimeters (and tenths of millimeters, if necessary). Handle the matchstick carefully to avoid any damage or inaccuracies in the measurement..

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Answer:

D. $11,700

Step-by-step explanation:

Answer: Let x be the width of the carpet in feet.

Then, the length of the carpet is 3 feet more than three times the width, which can be expressed as 3x + 3.

The area of a rectangle is given by the formula A = length × width. Therefore, the area of the carpet is:

A = (3x + 3) x = 3x² + 3x

We know that the area of the carpet is 216 square feet, so we can set up the equation:

3x² + 3x = 216

To solve for x, we can first divide both sides by 3:

x² + x = 72

Then, we can rearrange the equation to get it in standard quadratic form:

x² + x - 72 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 1, and c = -72.

Plugging these values into the formula, we get:

x = (-1 ± √(1² - 4(1)(-72))) / 2(1)

x = (-1 ± √(1 + 288)) / 2

x = (-1 ± √289) / 2

x = (-1 ± 17) / 2

This gives us two possible values for x: x = -9 or x = 8.

Since the width of the carpet can't be negative, we reject the negative solution and conclude that the width of the carpet is 8 feet.

To find the length of the carpet, we can use the expression we found earlier: 3x + 3. Plugging in x = 8, we get:

length = 3(8) + 3 = 24 + 3 = 27

Therefore, the dimensions of the carpet are 8 feet by 27 feet.

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers.

The solution to the initial value problem is:

y = (2sin(t) - 3cos(t)) / 81 + (8 2/3 / 6) t³ - (3 1/3 / 2) t² - 2t + 28/27.

Now, We can solve this initial value problem, for this we need to integrate the given differential equation four times, and use the given initial values to determine the constants of integration.

Starting with y⁴ = -2sin(t) + 3cos(t),

we can integrate four times to get:

y³ = (-2cos(t) - 3sin(t)) / 3 + C₁

y² = (-2sin(t) + 3cos(t)) / 9 + C₁t + C₂

y' = (-2cos(t) - 3sin(t)) / 27 + (C₁/2) t² + C₂t + C₃

y = (2sin(t) - 3cos(t)) / 81 + (C₁/6) t³ + (C₂/2) t² + C₃t + C₄

Using the given initial values, we can find the values of the constants of integration:

y'''(0) = 8 = -2/3 + C₁

C₁ = 8 2/3

y''(0) = -3 = 3/9 + C₁ × 0 + C₂

C₂ = -3 1/3

y'(0) = -2 = -2/27 + (C₁/2) 0² + C₂ 0 + C₃

C₃ = -2

y(0) = 1 = -3/81 + (C₁/6) 0³ + (C2/2) 0² + C₃ × 0 + C₄

C₄ = 1 + 3/81 = 28/27

So, the solution to the initial value problem is:

y = (2sin(t) - 3cos(t)) / 81 + (8 2/3 / 6) t³ - (3 1/3 / 2) t² - 2t + 28/27.

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Answer:

32 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where \(x\) represents days and \(y\) represents bees.

The exponential function that models this problem must be like

\(y=a(1-r)^{x}\), which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that \(a=10,000\), because it starts with 10,000 bees.

Let's use the points (10, 7500)

\(y=a(1-r)^{x}\\7500=10000(1-r)^{10}\)

Solving for \(r\), we have

\(\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75\)

Using logarithms, we have

\(ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97\)

Replacing all values in the model, we have

\(y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}\)

Therefore, the right answer is the first choice, that's the best approximation to this situation.

Answer:

A. y = 9,958(0.972)x

Step-by-step explanation:

Answer:

These relationships are realted because the variable is multiplied by ten to get the function.

9cm: 90mm

12 1/4cm: 122.5mm

50cm: 500mm

88.49cm: 884.9mm

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For solving the inequalities, there are more than four steps.

The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to  Subtract the same number from both sides and the third step is to  Multiply both sides by the same positive number, and the fourth step is to  Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.

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Answer: 9.22M

Step-by-step explanation:

If the first event is number 1 and the last event is number 8, then the event that occurred fifth in the sequence would be numbered as 5. However, without the accompanying figure, it is impossible to determine which specific event occurred at that point in the sequence.

To determine which event occurred fifth in the sequence of the accompanying figure, you should follow these steps:
1. Identify the first (oldest) event, which is labeled as number 1.
2. Move on to the next oldest event, which will be number 2, and so on.
3. Continue identifying events in chronological order.
4. When you reach the event labeled as number 5, this will be the event that occurred fifth in the sequence.
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The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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Answer:

The answer is 43

Step-by-step explanation: