9. Use the graph of the sequence to answer the parts.

a. Is the sequence arithmetic, geometric, or neither Explain.

b. Write a recursive formula for the sequence.

c. Write an explicit formula for the sequence.

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

An adjusting entry is an additional journal entry that is made at the end of the month or year. When any financial transaction is incurred for which the amount is not accrued yet or no financial transaction incurred for the accrued amount and in such case the adjusting entry is made to know the actual amount accrued in the month or year.

The adjustment entries are the additional entries to the recorded journal entries.

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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Two angles are said to be complementary angles if their sum is 90 degrees. Then ∠I ≅ ∠H is proved, below.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Two angles are said to be complementary angles if their sum is 90 degrees.

∠G and ∠H are complementary angles and ∠G and ∠I are complementary angles.

Then show that ∠I ≅ ∠H

∠G + ∠H = 90°  ...1

∠G + ∠I = 90°  ...2

Then from equation 1 and 2, we ahve

∠G + ∠I = ∠G + ∠H

        ∠I = ∠H

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The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer: $3.32

Step-by-step explanation:

-0.3853 = (x - 3.4) / 0.2

Solving for x, we get:

X = 3.32

Therefore, the price for which only 35% of milk vendors is lower than $3.32.

Answer:

-(-45) and -|45|

Step-by-step explanation:

Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.

Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.

According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.

To do this, we are to select the values in the options that will return +45.

Let's look at each option.

For -(-45):

Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45

For -45:

-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.

For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.

For -|45|:

The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.

Answer:

-(-45) and -|45|

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

9-6 = 3

3 x 6 = 18

18 + 14 = 32

Answer:

140° and 50°

Step-by-step explanation:

The supplement of the angle (180 - x)

The complement of the angle = (90 - x)

(180 -x) = 4(90-x) - 60

180 - x = 360 -4x - 60

180 -x  = 300 - 4x

180 - x + 4x = 300

 180 + 3x = 300

     3x = 120

      x = 40

The supplement (180 - x) =  180 - 40 = 140°

The complement (90 - x) =  90 - 40 = 50°

1. Rotameter: A rotameter is a type of flow meter that measures the flow rate of a fluid in a pipe based on the position of a float.

No, a rotameter cannot be used in a horizontal pipe line. This is because a rotameter relies on the force of gravity to position the float correctly. In a horizontal pipe line, the force of gravity does not act directly on the float, making it difficult to accurately measure the flow rate.

In a horizontal pipe line, other types of flow meters, such as differential pressure meters or magnetic flow meters, are typically used. These meters are designed to measure flow in horizontal pipe lines and do not rely on gravity for accurate measurements.

2. Electromagnetic flowmeter: An electromagnetic flowmeter is a type of flow meter that measures the flow rate of a conductive fluid in a pipe using the principles of electromagnetic induction.

The magnetic field applied to an electromagnetic flowmeter is not constant, but time varying, to facilitate accurate flow rate measurements. The varying magnetic field induces an electromotive force (EMF) in the fluid as it flows through the magnetic field. By measuring the EMF, the flow rate can be determined.

The varying magnetic field helps to compensate for any variations or disturbances in the fluid flow, such as changes in fluid conductivity or the presence of air bubbles. By continuously varying the magnetic field, the electromagnetic flowmeter can provide accurate and reliable flow rate measurements, even in challenging conditions.

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Using the regression scatterplot given, the slope of the relationship between the number of people and temperature and the questions can be answered thus :

Slope = (12-4) / (60 - 110) = 8/50 = 0.16

Hence, the slope = 0.16

2.)

Using the slope value, which is the rate of change,

For each degree increase in outside temperature, fair attendance decreases by 0.16 thousand people.

3.)

The difference between 75°F and 100°F is (100 - 75) = 25°F

Multiplying the slope by the difference :

-0.16 × 25 = 4

Hence, about 4000 fewer people are predicted to be at the fair on a 100°F day than on a 75°F day.

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3/4 x 2/11 = 3/22

Step by step explanation

multiply both numerators together: 3 x 2 = 6

multiply both denominators together: 4 x 11 = 44

3 x 2 = 6                   4 x 11 = 44     = 6/44

Divide 6 by 2 and 44 by 2.

6 / 2 = 3

44 / 2 =22

thus your answer is 3/22

Hope this helps! :)

Answer:

Point-slope form: y + 2= 0.5(x + 3)

Slope-intercept form: y = 0.5x - 0.5

Step-by-step explanation:

In response to the aforementioned query, we may say that As a result, expressions the response is A. A quotient of two sums is this.

Mathematical operations include doubling, dividing, adding, and subtracting. A phrase is constructed as follows: Expression, monetary value, and mathematical operation Numbers, parameters, and functions make up a mathematical expression. It is possible to use words and terms in contrast. Every mathematical statement including variables, numbers, and a mathematical operation between them is called an expression, sometimes referred to as an algebraic expression. For example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

It is better to refer to the phrase (8+5)/(y+6) as "a quotient of two sums" since it divides the sum of 8 and 5 by the sum of y and 6.

As a result, the response is A. A quotient of two sums is this.

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since 25 is less than 11.2, we must start putting a 0 and a comma in order to move the decimal place, like this:

then, we continue the division as usual, 112 divided by 25, 25 times 4 is equal to 100 and leaves a remainder of 12,

then, 12 is less than 25 so we put a 0 at the end and repeat the procedure on the last step,

complete the division with another 0 at the end and repeat, 25 times 8 is equal to 200 and leaves a remainder of zero.

ANSWER:

The result of the division is 0.448

The result for the division of the fractions in this problem is given as follows:

\(\frac{x^3 + 6x^2 + 7x + 18}{(x - 3)(x + 9)(x^2 - 9)}\)

The division of two fractions is given by the multiplication of the first fraction by the inverse of the second fraction.

The first fraction in this problem is composed by the sum of two fractions, as follows:

\(\frac{x + 5}{x + 9} + \frac{x + 7}{x^2 - 9}\)

Applying the subtraction of perfect squares, we have that:

x² - 9 = (x - 3)(x + 3).

The second fraction is given as follows:

(x² - 9)/(x + 3).

Considering the factoring of x² - 9, the second fraction is given as follows:

x - 3.

Hence the inverse is of:

1/(x - 3).

Then the entire quotient is given as follows:

\(\left(\frac{x + 5}{x + 9} + \frac{x + 7}{x^2 - 9}\right) \times \frac{1}{x - 3}\)

The addition of the two fractions is given as follows:

\(\frac{(x + 5)(x^2 - 9) + (x + 7)(x + 9)}{(x + 9)(x^2 - 9)} = \frac{x^3 + 6x^2 + 7x + 18}{(x + 9)(x^2 - 9)}\)

Applying the multiplication by x - 3 in the denominator, the quotient is given as follows:

\(\frac{x^3 + 6x^2 + 7x + 18}{(x - 3)(x + 9)(x^2 - 9)}\)

The problem asks for the quotient between the two fractions.

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The area of the triangle is

60 cm2.

The area of the rectangle is

240 cm2.

In a two-dimensional plane, an area of triangle is equal to the sum of the areas of its three sides.

To calculate a rectangle's area, count the number of square units that fit within the rectangle's perimeter.

Area of triangle = h x b / 2

Given

h = 12

b =10

hence

A= h x b / 2

  = 12 x 10 / 2

  = 120 / 2

  = 60 cm2

Area of rectangle = l x b

Given

l = 12

b = 10

hence

area of rectangle  = l x b

                          = 12 x 10

                         = 120 cm2

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the answer is 60 and 120

The net present value of this investment, assuming a required 8% return, is approximately $13,829.

To calculate the net present value (NPV) of this investment, we'll first find the present value of the net cash flows and the salvage value, then subtract the initial investment.

For the net cash flows, we'll use the Present Value of Annuity (PVA) formula:

PVA = Net Cash Flow * [(1 - (1 + r)^(-n)) / r]

Where:
- Net Cash Flow is $11,000
- r is the required return (0.08)
- n is the number of years (7)

PVA = 11,000 * [(1 - (1 + 0.08)^(-7)) / 0.08]
PVA = 11,000 * 4.99271
PVA ≈ $54,920

Next, we'll find the present value of the salvage value at the end of year 7:

PV_salvage = Salvage Value / (1 + r)^n
PV_salvage = 6,700 / (1 + 0.08)^7
PV_salvage ≈ $3,909

Now, we can calculate the NPV by adding the present values and subtracting the initial investment:

NPV = (PVA + PV_salvage) - Initial Investment
NPV = (54,920 + 3,909) - 45,000
NPV ≈ $13,829

The net present value of this investment, assuming a required 8% return, is approximately $13,829.

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False. The number in front of the "E" in E notation must always contain a decimal point to accurately represent the value.

b. False. When using E notation (also known as scientific notation), the number in front of the "E" must contain a decimal point.

E notation is a way to express very large or very small numbers in a compact form. It consists of two parts: the significand (or mantissa) and the exponent. The significand represents the main digits of the number, and the exponent indicates the power of 10 by which the significand should be multiplied.

It is crucial to include a decimal point in the significand to accurately represent the number in E notation. Omitting the decimal point can lead to a misunderstanding or incorrect interpretation of the value.

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Answer:

3

Step-by-step explanation:

Answer:

1. 8-10

2. oven

3. 200-220

4 dampen the surface of the bread

5. no allow it to cool

In the wuestion, we are given that the point is located at (-8,0). We will draw a graph to represent the point.

Since the brearing is measured from the north we will have.

Since the arrow covers two quadrants, it implies that the bearing would be

Answer:

Answer:  \(\sqrt{13}\) units

Work Shown:

\((x_1,y_1) = (-5,-4) \text{ and } (x_2, y_2) = (-2,-6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-5-(-2))^2 + (-4-(-6))^2}\\\\d = \sqrt{(-5+2)^2 + (-4+6)^2}\\\\d = \sqrt{(-3)^2 + (2)^2}\\\\d = \sqrt{9 + 4}\\\\d = \sqrt{13}\\\\d \approx 3.6056\\\\\)

I used the distance formula.

A slightly alternate method is to form a right triangle and use the pythagorean theorem. The hypotenuse will have the endpoints (-5,-4) and (-2,-6).

Answer: \(70 units^2\)

Step-by-step explanation:

As you can see, the rhombus is comprised of four congruent right triangles.

The area of one of these triangles is 0.5 x 7 x 5, which is 17.5 square units.

multiplying by 4 to get the area of the rhombus, we get \(70 units^2\)

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Answer:

7 units

Step-by-step explanation:

5 ×7 is 35 and area is multiplication

Answer: 5 19/20  or 5.95

Step-by-step explanation:

The farmer sold 5.95 kilograms of pears at the market.

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is you have to remove 4 points.

There is 6 points in all and for a function it only needs two points to become a function. A function needs to be a that line that passes the vertical line test. For example: A circle is not a function because when you perform the vertical line test you'll see that many points share a common x-value and a function needs only one output in every input.

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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In a normal distribution, a z-score tells you how many standard deviations a point is from the mean, i.e., z =( x - mean)/ standard deviation

A statistic known as the standard deviation, which is derived as the square root of variance, gauges a data value's dispersion from its mean. The standard deviation is determined as the square root of the variance by calculating the departure of each data point from the mean.

If the data points are further from the mean, there is a bigger deviation within the data set; consequently, the more spread out the data, the higher the standard deviation.

ESSENTIAL LESSONS:

The dispersion of a dataset in relation to its mean is measured by the standard deviation.

The square root of the variance is used to compute it.

When assessing the relative riskiness of an asset, standard deviation is frequently employed in finance.

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Answer:

\( {z}^{ \frac{ - 1 + 5}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{ \frac{4}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{2 - \frac{1}{3} } \\ {z}^{ \frac{6 - 1}{3} } \\ {z}^{ \frac{5}{3} } \)