Help me please! I need it.

Answer:

Thanks :)

Step-by-step explanation:

The parametric equations for the portion of the circle are \(\( x = r \cdot \cos(t) \)\) and \(\( y = r \cdot \sin(t) \)\), with the parameter \(\( t \)\) ranging from \(\( t_1 \)\) to \( \(t_2 \)\).

To find the parametric equations for the portion of the circle, we can use the standard parametric equations for a circle centered at the origin. The general equations are \(\( x = r \cdot \cos(t) \)\) and \(\( y = r \cdot \sin(t) \)\), where \(\( r \)\) is the radius of the circle and \(\( t \)\) is the parameter. These equations describe how the \(\( x \)\) and \(\( y \)\) coordinates vary as \(\( t \)\) changes.

To determine the domain of the parameter \(\( t \)\), we need to specify the starting and ending points of the portion of the circle we are interested in. These points can be defined in terms of angles measured from a reference point on the circle. Let's say \(\( t_1 \)\) is the starting angle and \(\( t_2 \)\) is the ending angle. The domain of the parameter \(\( t \)\) would then be \(\( t_1 \leq t \leq t_2 \)\), which ensures that the equations generate the desired portion of the circle.

In conclusion, the parametric equations for the portion of the circle are \(\( x = r \cdot \cos(t) \)\) and \(\( y = r \cdot \sin(t) \)\), with the parameter \(\( t \)\) ranging from \(\( t_1 \)\) to \\(( t_2 \)\). These equations allow us to describe the coordinates of points on the circle as \(\( t \)\) varies within the specified domain.

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The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Therefore,  The sample means resonance frequency is 114.0 Hz.

To find the sample mean resonance frequency, we need to compute the midpoint of each confidence interval and then average the two midpoints.
1. Calculate the midpoints of the two intervals:
  - (113.6 + 114.4) / 2 = 114.0
  - (113.4 + 114.6) / 2 = 114.0
2. Average the two midpoints:
  - (114.0 + 114.0) / 2 = 114.0

Therefore,  The sample means resonance frequency is 114.0 Hz.

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Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

Answer:

This is poorly written, so i will answer it as it was:

"Let f (x) = |2). Write a function g(x) whose graph is a vertical shrink by a factor of  A, followed by a translation 2 units up of the graph of f."

I don't really know what you do mean by I2), so i will answer it in a general way.

First, we do a vertical shrink of factor A.

A must be a number smaller than one and larger than zero., then if g(x) is a vertical shrink of factor A of the graph of f(x), we have that:

g(x) = A*f(x)

As 0 < A < 1

We will have that the graph of g(x) is a vertical compression of the graph of f(x)

Now we do a vertical shift of 2 units up.

A general vertical shift of N units up is written as:

g(x) = f(x) + N

Where N is a positive number.

So in our case, we have:

g(x) = A*f(x) + 2.

Where you will need to replace the values of A and f(x) depending on what the actual question says,

Answer:

7x + 13

Step-by-step explanation:

because the correct answer is 7x+13

Answer:

True

Step-by-step explanation:

All square roots of natural numbers, other than of perfect squares, are irrational.

The friend is correct. Split the 2D figure as indicated in the diagram below. The rectangle on the left rotates to form the cylinder. The triangle rotates to form the cone. Think of these as like a revolving door that carves out a 3D shape. Or you could think of propellers.

Answer: 12.81

Step-by-step explanation:

(a) The given differential equation is dx/dt = 0.005(10-x) with x(0) = 0.

Solving the differential equation, we get:

dx/(10-x) = 0.005 dt

Integrating both sides, we get:

-ln(10-x) = 0.005t + C

Applying initial condition x(0) = 0, we get C = ln(10)

Thus, we have:

-ln(10-x) = 0.005t + ln(10)

ln[(10-x)/10] = -0.005t

(10-x)/10 = e^(-0.005t)

x(t) = 10(1-e^(-0.005t))

Therefore, x(t) = 10(1-e^(-0.005t))

(b) We need to find the time t such that x(t) = 0.9*10 = 9 billion dollars.

Substituting x(t) = 9 in the equation, we get:

9/10 = 1-e^(-0.005t)

e^(-0.005t) = 0.1

Taking natural logarithm on both sides, we get:

-0.005t = ln(0.1)

t = -ln(0.1)/0.005 = 138.63 days ≈ 139 days (rounded to the nearest day)

Therefore, it will take approximately 139 days for the new bills to account for 90% of the currency in circulation.

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The true equation is 10^6 = 10,000 × 100

The expressions are expressed to the power of 10 :

10^4 = 10 × 10 × 10 × 10 = 10000

10^5 = 10 × 10 × 10 × 10 × 10 = 100,000

10^6 = 10 × 10 × 10 × 10 × 10 × 10 = 10,000 × 100 = 1,000,000 (total of 6 zeros)

10^7 = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000

Hence, the only true equation is 10,000 × 100

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Answer:-30 duhh

Step-by-step explanation:

Answer:30 time

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-2x   -2x

6=-x-4

+4    +4

10=-x

-1    -1

-10=x

\( \Large{\boxed{\sf x = 10}} \)

\( \\ \)

Given equation:

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

\( \\ \)

Expand the left side using the following distributive property:

A(B + C) = AB + AC

\( \\ \)

Here, A = 2, B = x, and C = 3.

We get:

\( \sf 2(x) + 2(3) = x - 4 \\ \\ \sf 2x + 6 = x - 4 \)

\( \\ \)

Now, subtract 6 from both sides:

\( \sf 2x + 6 - 6 = x - 4 - 6 \\ \\ \sf 2x = x - 10 \)

\( \\ \)

Subtract x from both sides :

\( \sf 2x - x = x - 10 - x \\ \\ \\ \boxed{\boxed{\sf x = -10}} \)

\( \\ \\ \)

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Answer:

12 inches

Step-by-step explanation:

The storage bin is in the shape of a rectangular prism.

Its volume is 5400 cubic inches and its base area is 450 square inches.

The volume of a rectangular prism is given as:

V = L * W * H

where L = length

W = width

H = height

The product of the length and width gives the base area of the rectangular prism:

A = L * W

This implies that:

V = A  * H

=> 5400 = 450 * H

H = 5400 / 450

H = 12 inches

The height of the bin is 12 inches.

Answer:

n = 4

Step-by-step explanation:

We can find the number, n, using the equation:

3n + 4 = 16

3n = 12

n = 4

Without explicitly solving the differential equation, we can make qualitative predictions about the behavior of the salt concentration in the tank over time, but we cannot determine the exact amount of salt in the tank without further information.

To estimate the amount of salt in a tank after a long time without explicitly solving the differential equation, we can use some qualitative reasoning based on the behavior of the system.

First, let's consider the differential equation that describes the rate of change of salt concentration in the tank over time. This equation typically involves parameters such as the inflow and outflow rates, initial salt concentration, and the volume of the tank.

Without solving the equation, we can make some general observations about the system's behavior:

1. Equilibrium: In the long run, the salt concentration in the tank will tend to reach an equilibrium state. At equilibrium, the rate of salt inflow into the tank will be balanced by the rate of salt outflow, resulting in a stable concentration.

2. Initial conditions: The initial salt concentration in the tank will have an impact on the equilibrium concentration. If the initial concentration is higher than the equilibrium value, the concentration will decrease over time until it reaches equilibrium. Conversely, if the initial concentration is lower, it will increase over time until reaching equilibrium.

3. Inflow and outflow rates: The relative magnitudes of the inflow and outflow rates will determine how quickly the tank reaches equilibrium. If the inflow rate is much higher than the outflow rate, the equilibrium concentration will be closer to the inflow concentration. Conversely, if the outflow rate is higher, the equilibrium concentration will be closer to the outflow concentration.

Based on these observations, we can conclude that after a long time:

- If the system is at equilibrium, the salt concentration will remain stable.

- If the system is not at equilibrium, the salt concentration will approach the equilibrium value.

- The specific value of the equilibrium concentration cannot be determined without solving the differential equation or knowing the system parameters.

Therefore, without explicitly solving the differential equation, we can make qualitative predictions about the behavior of the salt concentration in the tank over time, but we cannot determine the exact amount of salt in the tank without further information.

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The probability that no letters are repeated is 0.0015, rounded to the nearest thousandth.

The probability that no letters are repeated is calculated using the formula P = n! / (r^n * (n-r)!)

, where n is the total number of letters and r is the number of each letter.

The numbers here are n = 7 and r = 1.

This means the probability of no letters being repeated is 7! / (1^7 * 6!) = 0.0015.

This can be rounded to the nearest thousandth, giving the answer of 0.0015.

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Answer:

5.6m + n - 9.9

Step-by-step explanation:

-(-5.6m-n+9.9)

5.6m + n - 9.9

0:20

1: 25

2:30

3:35

4:40

5:45

6:50

7:65

8:70

9:75

10: 80

hope this helps

Answer:

1/2

Step-by-step explanation:

You could formalize your answer by setting up a proportion.

3 boxes /6 months = x / 1 month

Cross multiply

3 boxes * 1 month = 6 months * x

the months cancel out.

Divide by 6

x = 3 boxes / 6

x = 1/2

Answer: 378/9=42

so 42 miles per gallon and 210/42= 5

5 gallon

Step-by-step explanation:

The 15 foot ramp must make an angle 19.45° with the ground to reach the same window.

Since the height of the window above ground remains constant in both cases, it follows that by means of trigonometric identity sine; we have;

10sin30° = 15sinx

sinx = 5/15 = 0.333

x = sin-¹(0.333)

x = 19.45°.

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Answer:

She can go 120 km before she runs out of fuel

It will take 2 hours.

Step-by-step explanation:

150 km is the distance

60 km/ h is the speed

The gas tank is 20 liters

We can go 6 km per liter

Fuel costs .60 dollars per liter

We need to determine how far she can go on a tank of gas

20 liters * 6 km / liter = 120 km

She can go 120 km before she runs out of fuel

120 km  = 60 km/ h  *  x hours

Divide each side by 60

120/60 = x

2 hours

Answer:

Hopes this helps!

Step-by-step explanation:

To create a validation rule in Salesforce that automatically selects grade A when the percentage is set to 90, you can use the ISPICKVAL function. This function allows you to check the selected value of a picklist field and perform actions based on the value. By using ISPICKVAL in the validation rule, you can ensure that the grade field is populated with A when the percentage field is set to 90.

To implement this validation rule, follow these steps:

Go to the Object Manager in Salesforce and open the Student object.

Navigate to the Validation Rules section and click on "New Rule" to create a new validation rule.

Provide a suitable Rule Name and optionally, a Description for the rule.

In the Error Condition Formula field, enter the following formula:

AND(ISPICKVAL(Percentage__c, "90"), NOT(ISPICKVAL(Grade__c, "A")))

This formula checks if the percentage field is selected as 90 and the grade field is not set to A.

In the Error Message field, specify an appropriate error message to be displayed when the validation rule fails. For example, "When percentage is 90, grade must be A."

Save the validation rule.

With this validation rule in place, whenever a user selects 90 in the percentage field, the grade field will automatically be populated with A. If the grade is not set to A when the percentage is 90, the validation rule will be triggered and display the specified error message.

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Answer:

slope is zero

Step-by-step explanation:

slope is the difference of the y-values over the difference of the x-values

(-3-(-3)) ÷ (5-2)

0/3