Mathematics College

## Answers

**Answer 1**

The **missing term **is in the **quadratic equation **is 126.

I disagree with John's statemen

How to know term should be added

The **completing **the **square method **is one 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

To **complete **the **square **of the quadratic function a(x) = -2x^2 + 36, we can follow these steps:

Factor out the coefficient of x^2:

a(x) = -2(x^2 - 18)

(b / 2a)^2

= (-18/2)^2

= 81

So we add and subtract 81 inside the parentheses:

a(x) = -2(x^2 - 18 + 81 - 81)

a(x) = -2[(x - 9)^2 - 63]

Simplify the expression inside the parentheses:

a(x) = -2(x - 9)^2 + 126

I disagree with John's statement that **factoring **would be more efficient than completing the square in solving for the maximum area of the storage bin.

Factoring can be used to find the **roots **of a **quadratic equation**, but it may not necessarily lead to an expression in a form that allows us to determine the maximum or minimum value of a quadratic function. On the other hand, completing the square can help us rewrite a quadratic function in vertex form, which provides us with the coordinates of the vertex and the maximum or minimum value of the function.

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## Related Questions

What is the radius of a sphere with a volume of 802\text{ m}^3,802 m

3

, to the nearest tenth of a meter?

### Answers

The **radius **of the **sphere** to the nearest tenth of a meter 5.8 meters.

What is the radius of the sphere?

A **sphere **is simply a three dimensional solid, that has all its surface points at equal distances from the center.

The **volume **of a **sphere **is expressed as;

V = (4/3) × π × r³

Where V is the volume of the sphere and r is the radius.

Given the data in the question;

Volume of the sphere V = 802 m³Radius r = ?

To find the **radius **of a **sphere **with a given volume, we can use the formula for the volume of a sphere:

V = (4/3) × π × r³

We can rearrange the formula to solve for r:

r = (3V / 4π)^(1/3)

Plugging in the given volume V = 802 m³ we get:

r = (3(802) / 4(3.14)^(1/3)

r = ( 191.56 )^(1/3)

r = 5.8m

Therefore, the **radius **of the **sphere **is 5.8 meters.

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What is an equation of the line that passes through the points (4,0) and (3, 1)

### Answers

**Answer:**

y = -x + 4

**Step-by-step explanation:**

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (4,0) and (3, 1)

We see the y increase by 1 and the x decrease by 1, so the slope is

m = -1

Y-intercept is located at (0,4)

So, our equation is y = -x + 4

In the past month, Isabel rented 3 video games and 1 DVD. The rental price for each video game was$2.70 . The rental price for the DVD was $3.40. What is the total amount that Isabel spent on video game and DVD rentals in the past month?

### Answers

**Answer: $11.50**

**Step-by-step explanation:**

**g = video games rented**

**d = DVDs rented**

**3g + d = whatever**

**g = $2.70**

**d = $3.40**

**3(2.70) + 3.40 = $11.50**

2. Write down the numbers 1 to 16 in your workbook. From that list write down the numbers that are: a) neither composite nor prime

### Answers

The number which is neither **prime **οr cοmpοsite is 1.

What is wοrd prοblem?

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying **mathematical οperatiοns **tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in **cοmputatiοnal mathematics**.

Here the number between 1 tο 16 is,

=> 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16.

**Prime numbers **are the number which is divided by 1 and itself. Then,

Prime numbers = 2,3,5,7,11,13

Cοmpοsite numbers are numbers which are have mοre than οne factοrs. Then,

Cοmpοsite numbers = 4,6,8,9,10,12,14,15,16.

Then number which is neither prime nοr cοmpοsite is 1.

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Twice a number is 42 less than 4 times the number. Find the number.

### Answers

[tex]2n=4n-42 \iff 4n-2n=42[/tex]

[tex]2n = 42 \implies \bf n = 21[/tex]

Which graph of y = [x]-2? Please help

### Answers

**Answer:**

**Step-by-step explanation:**

The graph of y = [x]-2, where [x] denotes the greatest integer less than or equal to x, is a step function that looks like a series of horizontal line segments.

To graph this function, we start by drawing a horizontal line segment of length 1 at y = -1 (since [x] = -1 for x between -1 and 0). Then, we draw a horizontal line segment of length 2 at y = 0 (since [x] = 0 for x between 0 and 1). We continue this pattern, with each line segment having a length equal to the greatest integer less than or equal to x, until we have graphed the entire function.

Here is a link to an image of the graph of y = [x]-2: https://www.mathwarehouse.com/transformations/graphing-step-functions/how-to-graph-step-function.php#graph-of-step-function.

how are result this fraction 3/5(4x+1)=3(2-4x)+9 is equal to

### Answers

The **value** of x in the **equation** 3/5(4x+1)=3(2-4x)+9 is

What is algebraic equation?

**Algebraic equation**, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3/5(4x+1)=3(2-4x)+9

multiply through by 5

3( 4x+1) = 15(2-4x) + 45

12x +3 = 30-20x +45

collect like terms

12x+20x.= 30+45-3

32x = 72

x = 72/32

x = 2 8/32

x = 2 1/4

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Two shops sell notebooks for different prices,

as shown below.

Jake wants to buy 2 notebooks. What is the

difference between the amounts he would pay

at each shop?

Give your answer in pounds (£).

Post office

£5 each

Buy one, get

another half price

Bookshop

£5.40 each

Buy two, get

off the total

### Answers

**se voce comprar os dois, voce irá gastar 10,40 libras**

ASAP IF ITS WRIGHT ILL GIVE BRAINLIEST

What is the distance between the two points plotted?

A graph with the x-axis starting at negative 10, with tick marks every one unit up to 10. The y-axis starts at negative 10, with tick marks every one unit up to 10. A point is plotted at negative 8, negative 4 and at 5, negative 4.

−3 units

−13 units

3 units

13 units

### Answers

The **distance** between the **two points** is 13 units.

**What is distance formula?**

In analytical geometry, the formula for distance can be used to calculate a number of distances, including the distance between two lines, the sum of a polygon's sides, the perimeter of a polygon on a **coordinate plane**, the area of a polygon, and many more. By using the **distance formula**, we can, for instance, find the lengths of a triangle's sides and determine whether it is scalene, isosceles, or equilateral.

Distance formula: [tex]d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

To find the distance between the two points, we can use the distance formula:

[tex]d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Using the given coordinates:

[tex]d = \sqrt{((5 - (-8))^2 + ((-4) - (-4))^2)}[/tex]

Simplifying:

[tex]d = \sqrt{(13^2 + 0^2)}\\\\d = 13[/tex]

Therefore, the **distance between **the **two points **is 13 units.

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**Answer: The Answer is 13 units which it is right answer.**

**Step-by-step explanation: Have great day**

Solve the following differential equation,

(2 t x + 3 t^2) x′ = x^2

with initial conditions

(a) x(1) = 5

(b) x(1) = −3

write answers a and b as a function of t

### Answers

Step-by-step explanation:

To solve the differential equation (2tx + 3t^2)x' = x^2, we can use separation of variables method:

First, we separate the variables:

x^-2 dx/dt = (2tx + 3t^2)^-1 dt

Next, we integrate both sides:

∫x^-2 dx = ∫(2tx + 3t^2)^-1 dt

Using u-substitution with u = 2tx + 3t^2, du/dt = 2x + 6t, and du = (2x + 6t)dt, we get:

-x^-1 = (1/6) ln|2tx + 3t^2| + C

where C is the constant of integration.

Now, we can use the initial conditions to solve for the constant C:

(a) x(1) = 5:

-5^-1 = (1/6) ln|2t(1) + 3(1)^2| + C

-6 = ln|2t + 3| + C

C = -6 - ln|2t + 3|

Therefore, the solution for x as a function of t with initial condition x(1) = 5 is:

x(t) = (-1/6) - (1/6) ln|2t + 3|

(b) x(1) = −3:

-3^-1 = (1/6) ln|2t(1) + 3(1)^2| + C

-2 = ln|2t + 3| + C

C = -2 - ln|2t + 3|

Therefore, the solution for x as a function of t with initial condition x(1) = −3 is:

x(t) = (-1/3) - (1/6) ln|2t + 3|

Build (draw 4 iterations) a Sierpinski triangle that is a scalene triangle (three different side lengths).

### Answers

**Step-by-step explanation:**

Here are the first four iterations of a Sierpinski triangle that is a scalene triangle:

/\

/__\

/\ /\

/__\/__\

/\ /\

/__\ /__\

/\ /\ /\ /\

/__\/__\/__\/__\

/\ /\

/__\ /__\

/\ /\ /\ /\

/__\/__\ /__\/__\

The distance (d) in meters a car travels in t seconds is shown in the tables.

### Answers

The proportional relationship between the **distance** (d) traveled by a car and time (t) is shown in the **graph** attached below.

What is a proportional relationship?

In Mathematics, a **proportional relationship** is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

y represents the distance in miles.x represents the **time** in hours.k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) for the data points on this **graph** as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 10/1 = 10.

In this exercise, we would use an online graphing calculator to plot the **proportional relationship** between the distance (d) traveled by a car and time (t) as shown in the **graph** attached below.

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You borrow R150 000 FOR 18 months at 7,5% compound interest p.a which is compounded twice a year

### Answers

The **total amount** that will need to be repaid after 18 months is **R175,382.25.**

How to calculate the total amount that will need to be repaid

To calculate the total amount that will need to be repaid after 18 months of borrowing R150,000 at a 7.5% compound interest rate, compounded twice a year, we can use the formula for** compound interest:**

A = P(1 + r/n)^(nt)

Where

A is the total amount repaidP is the principal amount borrowed (R150,000)r is the annual interest rate (7.5%)n is the number of times the interest is compounded per year (2)t is the time in years (18 months is 1.5 years)

Plugging in the values, we get:

A = R150,000(1 + 0.075/2)^(2*1.5)

A = R150,000(1.0375)^3

A = R175,382.25

Therefore, the **total amount **that will need to be repaid after 18 months is **R175,382.25.**

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Find the degree of the monomial. 2b^(2)c^(5)

### Answers

The **degree **of the **monomial **is 7.

What is the degree of the monomial?

To check the **degree **of a **monomial**, we just need to add the exponents from all the variables in the monomial.

Here we have:

2*b²*c⁵

The exponents are 2 and 5, adding that we get 2 + 5 = 7, then the degree of the monomial is 7.

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The **degree **of the monomial is given as follows:

5th degree.

How to obtain the degree of the monomial?

The **monomial **of this problem is defined as follows:

2b²c^5.

The term is called a monomial as it has only one term, and the **exponents **are given as follows:

2 and 5.

The degree of the monomial is given by the highest exponent in the monomial, hence the monomial is of the **5th degree**.

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Nola made the model to show multiplying a fraction by a fraction. Which multiplication sentence does the model show

(A) 1/2 X 1/2 = 1/4

(B) 1/3 X 4/5 = 4/15

(C) 1/3 X 1/5 = 1/15

(D) 4/9 X 4/5 = 16/45

### Answers

The **multiplication **sentence the **model **shows is 1/3 X. 1/5 = 1/15.

**What is the multiplication of fractions?**

**Multiplication **of fractions is a mathematical operation that involves multiplying one fraction by another. To multiply two fractions, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. The resulting product is a new fraction that represents the multiplication of the two original fractions.

**Multiplication **of **fractions **is useful in a variety of mathematical applications, such as scaling, finding proportions, and solving ratio problems. It is also an important concept in everyday life, such as when measuring ingredients in a recipe or calculating a tip on a bill.

Based on the image, it appears that the model shows the multiplication sentence 1/3 x 1/5 = 1/15. The **model **has a rectangle divided into three equal parts **horizontally **and five equal parts **vertically**.

The **shaded region **represents one-third of the rectangle, and one-fifth of the shaded region is shaded again to represent one-fifteenth of the rectangle. This corresponds to the multiplication of the fractions 1/3 and 1/5 to get 1/15, which is the answer shown at the bottom of the model.

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Solve the inequality both algebra 2(3x-4)<=4x-9

### Answers

To solve the **inequality** 2(3x-4) <= 4x-9, we can use the same methods as we would for an **equation**, with one additional step at the end.

2(3x-4) <= 4x-9

**Expanding** the left-hand side, we get:

6x - 8 <= 4x - 9

**Subtracting** 6x from both sides, we get:

-8 <= -2x - 9

Adding 9 to both sides, we get:

1 <= -2x

Dividing both sides by -2 and **reversing** the **inequality** (since we are dividing by a negative number), we get:

x >= -1/2

Therefore, the solution to the inequality 2(3x-4) <= 4x-9 is x >= -1/2.

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Louis is designing large beaded-wire earrings to sell online. He records the total costs and his research in the following table

Cost of Supplies

$0.80

Hours of Labor

1.25

Seller's Fees

8.5%

Shipping Costs

$1.90

Price of Similar Items|

$35

If he sells the earrings for $35, how much can he expect in hourly profit? Enter the answer as a number to the nearest

hundredth, like this: 42.53

### Answers

**Louis **expect 23.46 dollars in **hourly profit.**

What is mean by Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

**Louis **is designing large** beaded-wire **earrings to sell online. He records the total costs and his research in the following table as;

Cost of Supplies $0.80

Hours of Labor 1.25

Seller's Fees 8.5%

Shipping Costs $1.90

Price of Similar Items| $35

Here, We have;

**Profit **= 35

Cost = 0.8 + 1.9 + 35 × 8.5%

= 5.675

Thus, The value of hourly profit is,

⇒ (35 - 5.675) / 1.25

⇒ 23.46 dollars

Therefore, **Louis **expect 23.46 dollars in **hourly profit.**

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The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)

5

4

### Answers

The two **positive co-terminal** angles to the given. angle; 5π/4 are; 13π/4 and 21π/4.

The two **negative co-terminal **angles as required are; -3π/4 and -11π/4.

What are the positive and negative co-terminal angles?

As evident in the task content; the given angle is; 5π/4.

Therefore, the positive co-terminal angles are given by; 5π/4 + 2nπ where n is a positive integer.

Therefore, the two **positive co-terminal **angles are; (5π/4 + 2π) and (5π/4 + 4π) ; i.e 13π/4 and 21π/4.

Also, the negative co-terminal angles are given by; 5π/4 + 2nπ where n is a negative integer.

Therefore, the two **negative co-terminal** angles are; (5π/4 - 2π) and (5π/4 - 4π) ; i.e -3π/4 and -11π/4.

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If 1900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

Volume =

### Answers

The largest possible **volume **of the box is 1900 cubic **centimeters**.

**What is volume?**

The measurement of a **three-dimensional **object's space occupied is its volume. It is a physical measurement that expresses how much room a thing takes up. By taking an object's length, breadth, and height **measurements **and multiplying them all together, the volume of the thing may be determined. Depending on the measurement system being used, the unit of volume may be in cubic metres (m3), cubic centimetres (cm3), cubic feet (ft3), or gallons (gal). In several disciplines, such as **mathematics**, physics, engineering, and chemistry, volume is a crucial idea.

Let's denote the **length **of one side of the **square base** as x, and the height of the box as h. Since the box has an open top, it has no lid, and the material is used only to form the sides of the box.

The **area **of the four sides of the box is given by the **expression**:

4xh

The total area of material available is given as 1900 square centimeters. Therefore, we can write:

4xh = 1900

Solving for h in terms of x, we get:

h = 475/x

The **volume **of the box is given by the expression:

V = x^2 h

Substituting the value of h, we get:

V = x^2 (475/x)

Simplifying, we get:

V = 475x

To find the maximum volume, we need to **differentiate **V with respect to x and equate it to zero:

dV/dx = 475 = 0

This implies that x = 0, which is not a valid solution. Therefore, there is no minimum or maximum volume, but there is a maximum value of x that we can find by considering the constraint given by the area of material:

4xh = 1900

Substituting the value of h in terms of x, we get:

4x(475/x) = 1900

Simplifying, we get:

x^2 = 16

Taking the positive **square root**, we get:

x = 4

Therefore, the largest possible volume of the box is:

V = 475x = 475(4) = 1900 cubic centimeters.

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Find a set of congruent figures in your house. Share the example you found and explain why the figures are congruent.

### Answers

The **chairs** are **congruent **because they have the same **shape **and size.

**What is Congruence?**

In **mathematics**, **congruence** is a relationship between two shapes that have the same size and shape, and can be superimposed onto each other through rigid motions, such as translation or rotation, without changing their **shape **or size. Congruent shapes have corresponding angles and sides that are equal in length.

One example of a set of congruent figures in a house could be a set of identical dining chairs. The chairs are congruent because they have the same **shape **and size. Each chair has the same **dimensions and angles**, so they can be superimposed onto each other through rigid motions, such as translation or rotation, without changing their shape or size. Therefore, they are considered to be congruent.

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Every dimension of a rectangle is multiplied by 5. Which is equal to the ratio of the perimeters?

Pls pls pls help

### Answers

The** **ratio of the **perimeters** is 5:1.

**What exactly is a perimeter?**

The area around a form's edge is known as its perimeter. By adding together the lengths of the sides of **various forms**, one may determine their perimeter.

A rectangle's dimensions are scaled by a factor of 5 when each of its dimensions is multiplied by 5. Moreover, the new **rectangle's perimeter **will be scaled by a factor of 5. As a result, the following will be the ratio of the new rectangle's perimeter to the previous rectangle:

5 * (old rectangle's perimeter) / (perimeter of old rectangle)

which is equivalent to:

5:1

The perimeters are therefore 5:1 in ratio.

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How much would you need to deposit in an account now in order to have $5000 in the account in 5 years? Assume the account earns 4% interest compounded quarterly. Round your answer to the nearest cent.

### Answers

The** amount **that needs to be deposited in the account today is 4,097.72.

How much should be deposited today?

We are to determine the **present value **of $5000 given quarterly compounding with an interest rate of 4%.

**Present value **is the discounted value of a cash flow.

**Present value ** = FV ÷ [1 + r]^nt

Where:

r = interest rate = annual interest / number of compounding = 4%/4 = 1%n = number of years = 5 t = number of compounding

P = 5,000 ÷ [1 + 0.01]^(5 x 4)

P = 5000 ÷ [1.01^20]

P = 4,097.72

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Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.

The probability is ?

### Answers

The **probability **that exactly 2 out of 8 **randomly** selected adult **smartphone** users use their smartphones in meetings or **classes** is 0.263.

**What is probability?**

**Probability** is simply how likely something is to **happen**. Whenever we're unsure about the **outcome** of an **event**, we can talk about the **probabilities** of certain **outcomes**—how likely they are. The **analysis** of events **governed** by **probability** is called **statistics**.

This is a binomial probability problem with n = 8 trials, where each trial has a probability of success of p = 0.45.

The probability of exactly 2 successes in 8 trials can be calculated using the binomial probability formula:

P(X = 2) = (8 choose 2) * (0.45)² * (0.55)⁶

where (8 choose 2) is the number of ways to choose 2 out of 8 trials.

Using a calculator or software, we get:

P(X = 2) = 0.263

Therefore, the **probability **that exactly 2 out of 8 **randomly** selected adult **smartphone** users use their smartphones in meetings or **classes** is 0.263.

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Simplify and find x

show work please

### Answers

**Answer:**

H and congestion control ️the

In a committee of 30 members, 20 speak Yoruba and 15 speak Igbo. If 8 speak both languages, how many speak a Neither language? At least one language? Only one language?

### Answers

If 8 speak both **languages**:

3 **members **speak neither language.

27 members speak at least one language.

19 members speak only one language.

**How many speak a Neither language**?

We can solve this problem using the **principle** of inclusion-exclusion.

Let A be the set of members who speak Yoruba, B be the set of members who speak Igbo, and C be the set of members who speak neither language. Then, we want to find the **cardinality **(i.e., the number of elements) of each set:

A: 20 members speak **Yoruba**, and 8 of them speak both languages. So the number of members who speak Yoruba only is 20 - 8 = 12.B: 15 members speak **Igbo**, and 8 of them speak both languages. So the number of members who speak Igbo only is 15 - 8 = 7.C: We want to find the number of members who speak neither language. Let N be the number of members who speak at least one language. Then, by the principle of inclusion-exclusion, we have:

N = |A ∪ B| = |A| + |B| - |A ∩ B|

N = 20 + 15 - 8 = 27

So the number of members who speak neither language is:

|C| = 30 - |A ∪ B| = 30 - 27 = 3

Therefore, 3 members speak **neither** language.

To find the number of members who speak at least one language, we can calculate:

|A ∪ B| = |A| + |B| - |A ∩ B| = 20 + 15 - 8 = 27

So 27 members speak at **least** one language.

To find the number of members who speak only one language, we can calculate:

|A \ B| + |B \ A| = (|A| - |A ∩ B|) + (|B| - |A ∩ B|) = (20 - 8) + (15 - 8) = 19

So 19 members speak only one **language**.

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Statistics

Compute the following:

### Answers

the values of **given questions **are:

Σx = 115

Σf² = 877

Σxf = 1573

**How to do and what is statistics?**

**Using** the values given:

Σx = 25 + 24 + 20 + 25 + 21 = 115

To find Σf², we need to square each value of f and** sum them**:

Σf² = 19² + 27² + 12² + 15² + 13² = 877

To find Σxf, we need to multiply each value of x by its **corresponding value** of f and sum them:

Σxf = (25)(19) + (24)(27) + (20)(12) + (25)(15) + (21)(13) = 1573

Therefore, the values are:

Σx = 115

Σf² = 877

Σxf = 1573

**Statistics** is a branch of **mathematics** that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods to make sense of numerical data and to draw conclusions about populations or samples based on that data.

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PLEASE HELP FAST!!! IT IS URGENT!!

### Answers

**Answer: the one you have highlighted/blue is correct**

**Step-by-step explanation:**

it makes sense so go with your gut you got this

On July 23 of the current year, Dakota Mining Company pays $6,670,800 for land estimated to contain 7,848,000 tons of recoverable ore. It installs and pays for machinery costing $1,648,080 on July 25. The company removes and sells 402,750 tons of ore during its first five months of operations ending on December 31. Depreciation of the machinery is in proportion to the mine's depletion as the machinery will be abandoned after the ore is mined. Required: Prepare entries to record the following.

(a) The purchase of the land.

(b) The cost and installation of machinery.

(c) The first five months' depletion assuming the land has a net salvage value of zero after the ore is mined.

(d) The first five months' depreciation on the machinery.

Record the first five months' depletion assuming the land has a net salvage value of zero after the ore is mined. (Round your "Depletion per ton" answer to 2 decimal places and round all other answers to the nearest whole dollar.)

Select formula for Units of Production Depletion:

(Cost − Salvage) / Total units of production

Calculate depletion expense:

Depletion per ton -

Tonnage - 402,750

Depletion expense -

### Answers

**Answer:**

**Step-by-step explanation:**

(a) Land Purchase:

Land - $6,670,800

Cash - $6,670,800

(b) Machinery Cost and Installation:

Machinery - $1,648,080

Cash - $1,648,080

(c) First Five Months' Depletion assuming zero net salvage value:

Depletion per ton = ($6,670,800 - $0) / 7,848,000 tons = $0.85 per ton

Depletion expense = $0.85 per ton x 402,750 tons = $342,387

Ore Inventory - $342,387

Accumulated Depletion - $342,387

(d) First Five Months' Depreciation on Machinery:

Depreciation expense = (Machinery cost / Estimated recoverable ore) x Tons of ore removed

Depreciation expense = ($1,648,080 / 7,848,000 tons) x 402,750 tons = $84,513

Depreciation Expense - $84,513

Accumulated Depreciation - $84,513

The surface of a swimming pool was 7 meters wide and 10 meters long. What is the area of the surface? Help please!

### Answers

please give the height of the pool

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Use the graph y=g(x) to graph the given function,

654 -3-2

y=g|

2-8 (13)

10-

9-

-8-

1-

6-

5.

4-

3-

2

1-1-

4.

-5.

6.

1

8.

10.

y=g(x)

### Answers

The **graph** of the **transformed **function is attached

How to make a graph of the transformed function

The complete question is added as an attachment

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

y = g(x)

To **graph **y = f(2x) from y = g(x):

We replace every x in the **equation **with 2x to get y = g(2x).The resulting equation y = f(2x) has the **same shape **as y = f(x), but it is **horizontally compressed **by a factor of 1/2.

Using the above as a guide, we have the following **transformed **points

(-18, 0) ⇒ (-36, 0)

(18, 0) ⇒ (36, 0)

(-16, 0) ⇒ (-32, 0)

(16, 0) ⇒ (32, 0)

See attachment for the **transformed **graph

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