can anyone help me find the answer to the attatched question

the amount of money in the account after 9 years is approximately $5982.09.

How to solve?

Using the formula for continuous compounding, the value of the investment account after t years is given by:

V = Pert

where P is the principal initially invested, e is the base of a natural logarithm, r is the annual interest rate, and t is the time period in years.

In this case, we have P = $2670, r = 8%, and t = 9 years. We can substitute these values into the formula to find the value of the account after 9 years:

V = Pert

V = 2670e²(0.089)

V = 2670×e²0.72

V = $5982.09 (rounded to the nearest cent)

Therefore, the amount of money in the account after 9 years is approximately $5982.09.

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In this random graph, we expect to find approximately 14 unordered cycles of length three.

In an undirected random graph of eight vertices, where the probability of an edge existing between any pair of vertices is 1/2, we can calculate the expected number of unordered cycles of length three.

To determine the expected number, we need to analyze the probability of forming a cycle of length three through any three vertices.

To form a cycle of length three, we must select three distinct vertices. The probability of selecting a particular vertex is 1, and the probability of not selecting it is (1 - 1/2) = 1/2. Hence, the probability of selecting three distinct vertices is (1)(1/2)(1/2) = 1/4.

Since we have eight vertices, the number of ways to choose three distinct vertices is given by the combination formula C(8, 3) = 8! / (3! * (8 - 3)!) = 56.

Therefore, the expected number of unordered cycles of length three is the product of the probability and the number of ways to choose the vertices: (1/4) * 56 = 14.

Therefore, in this random graph, we expect to find approximately 14 unordered cycles of length three.

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C=52.08π

Hope it helps.

Do comment if you have any query.

Answer:

The last option \(52.08\pi\) feet

Step-by-step explanation:

\(c=2\pi r=2\pi (26.04)=52.08\pi\)

Hope this helps

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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There are 154 ways to select a committee of 4 students out of 10 students if 2 of the students refuse to serve together.

To select a committee of 4 students out of 10 students with 2 of them refusing to serve together, we can use the principle of inclusion and exclusion.

First, we calculate the total number of ways to select 4 students out of 10, which is given by the combination formula:

C(10,4) = 10! / (4! * 6!) = 210

Next, we calculate the number of ways to select 4 students out of the 8 who are willing to serve together:

C(8,4) = 8! / (4! * 4!) = 70

However, we have to subtract the number of ways that the two students who refuse to serve together are selected. Since there are 2 such students, there are 2 ways that they can be included in the committee of 4.

For each of these cases, we have to select 2 students out of the remaining 8 who are willing to serve together:

C(8,2) = 8! / (2! * 6!) = 28

Thus, the number of ways to select a committee of 4 students out of 10 students with 2 of them refusing to serve together is:

210 - 2 * 28 = 154

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Answer:

The first answer is b then the second is c

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

the final answer is that if f(x) = -i and 9(x) = 2x³ - i - 3√x, we cannot find f(x) = g(x).To find f(x) = g(x), we need to first find the value of g(x). Given that 9(x) = 2x³-√ - I, we can simplify this expression by first adding the square root terms:
9(x) = 2x³ - √(I) - √(9x)

Next, we can simplify the square roots:
9(x) = 2x³ - i - 3√x
Now we can see that g(x) = 2x³ - i - 3√x.
To find f(x), we need to solve the equation f(x) = -√I. Since f(x) is not given, we can use any function that satisfies this equation. For example, we can let f(x) = -i.

To solve this problem, we need to apply basic algebraic manipulations and solve for the given functions f(x) and g(x). First, we can simplify the expression for 9(x) by adding the two square roots:
9(x) = 2x³ - √(I) - √(9x)
Next, we can simplify the two square roots by taking their values:
9(x) = 2x³ - i - 3√x
Now we can see that g(x) = 2x³ - i - 3√x.
To find f(x), we need to solve the equation f(x) = -√I. However, the function f(x) is not given explicitly in the problem. Therefore, we can use any function that satisfies this equation. For example, we can let f(x) = -i.
Now we can compare the expressions for f(x) and g(x) to see if they are equal.
f(x) = -i
g(x) = 2x³ - i - 3√x
Since f(x) is a constant function and g(x) is a polynomial function, we can see that f(x) = g(x) is not true in this case.

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The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.

For solids (regular and irregular):

Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).

Determining the volume:

Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.

Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.

Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).

For liquids:

Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.

Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).

Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).

The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.

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Answer:

15

Step-by-step explanation:

i kinda remember i think

2(x+8)=46

Answer:

-1, 0, 1, 2,

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:  $20020 o and con you thank me no one has thanked me

Step-by-step explanation:

There are 19/9 ounces in each sprinkle of sundae

From the question, we have the following parameters that can be used in our solution:

Number of sundaes = 4

Ounces of sprinkles = \(8\frac49\) ounces

From the above parameter, we can calculate the amount of sprinkles using the constant of proportionality formula

This is represented as

Ounces per sprinkle = Ounces of sprinkles/Number of sprinkles

Substitute the known values in the above equation

So, we have the following equation

Ounces per sprinkle = \(8\frac49\)/4

Evaluate the quotient

Ounces per sprinkle = 19/9

Hence, the ounces per sprinkle is 19/9 ounces

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Answer: 2.6 (rounded answer)

Step-by-step explanation: To solve for the side BC we can find the tangent (TAN) of 41 degrees. Since the tangent of an angle is equal to the opposite side over adjacent, we can set up an equation that looks like this, assigning side BC to be x:

tan(41)= x/16

0.1606567=x/16 <---- Use calculator to find tan(41)

0.1606567(16)=x/16(16) <---- Multiply each side by 16

2.5705071789=x

The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.

In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.

Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.

By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.

To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.

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Answer:

DOC = 70

BOC = 110

AOD = 110

Step-by-step explanation:

AOB is supplementary to BOC and AOD, which means together they equal 180. 180-70=110, so BOC and AOD are both 110.

AOB and DOC are vertical angles to each other, so are AOD and BOC. Vertical angles are always equal to each other. So since AOB is 70, so is DOC.

Hope this makes sense:)

The relation y = (7/8)x is proportional in nature.

In mathematics, two sets of numbers, often experimental data, are proportional- directly or inversely, if their corresponding elements have a constant ratio. This ratio is called the coefficient of proportionality or proportionality constant.

Here, we are given a relation between x and y as follows-

y = (7/8)x

dividing both sides by x we get-

y/x = 7/8

Thus, we see that the ratio y : x will always be equal to 7 : 8. In other words, x and y have a constant ratio. Here, the proportionality constant between x and y is 7 : 8.

This means that they are proportional in nature.

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Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

see image,

Area = 5 units^2

Step-by-step explanation:

Graph three points to make a triangle.

Use

Area = 1/2•b•h

to find the area.

Fortunately, the base is horizontal and the height is vertical, so we can just count the squares to find those lengths. (If they aren't horizontal and vertical, then you need distance formulas)

see image.

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Therefore, the solution to the system of linear equations is: x₁ = -5, x₂ = 11, x₃ = -18.

To solve the system of linear equations:

3x₁ + 2x₂x₃ = 10

-x₁ + 3x₂ + 2x₃ = 5

x₁ - x₂ - x₃ = -1

We can use various methods such as substitution, elimination, or matrix methods. Here, we'll use the elimination method.

Step 1: Multiply the second equation by 3 and add it to the first equation:

3x₁ + 2x₂x₃ = 10

-(3x₁ - 9x₂ - 6x₃ = 15)

-7x₂ - 4x₃ = -5 (Equation A)

Step 2: Multiply the third equation by 3 and add it to the first equation:

3x₁ + 2x₂x₃ = 10

(3x₁ - 3x₂ - 3x₃ = -3)

-x₂ - x₃ = 7 (Equation B)

Step 3: Add Equation A and Equation B:

-7x₂ - 4x₃ = -5

+(-x₂ - x₃ = 7)

-8x₂ - 5x₃ = 2 (Equation C)

Step 4: Multiply Equation B by 8 and subtract it from Equation C:

-8x₂ - 5x₃ = 2

+8x₂ + 8x₃ = -56

3x₃ = -54

Step 5: Solve for x₃:

x₃ = -54/3

x₃ = -18

Step 6: Substitute the value of x₃ back into Equation B to solve for x₂:

-x₂ - x₃ = 7

-x₂ - (-18) = 7

-x₂ + 18 = 7

-x₂ = 7 - 18

-x₂ = -11

x₂ = 11

Step 7: Substitute the values of x₂ and x₃ into Equation A to solve for x₁:

-7x₂ - 4x₃ = -5

-7(11) - 4(-18) = -5

-77 + 72 = -5

-5 = -5

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Answer:

20

Step-by-step explanation:

Let :

Length of Anne's stride = x

Length of Phillips stride = x + 4

Number of steps taken to walk same distance :

Anne = 6 steps ; Philips = 5 steps

Distance moved = Length of stride * number of strides

Hence,

For same distance :

Anne's distance = Phillip's distance

x * 6 = (x + 4) * 5

6x = 5x + 20

6x - 5x = 20

x = 20

Length of Anne's stride = 20

The correct statement is "Since the data is variable and available, the given question is a statistical question." Therefore, option B is correct.

The question "How many times do Jack Nursing Home residents search the Internet each day?" is a statistical question because it is a variable that varies from person to person and from day to day. The purpose of the question was to collect data on Internet searches, indicating an interest in understanding the distribution and patterns of residents' search behavior.

Additionally, in the question he states that web search data is available. This means there is an opportunity to collect and analyze data to generate meaningful insights. This question is therefore a statistical question that takes into account the variability and availability of the data. 

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