Antoine is renting a car for a day to drive to his sister's college and back. He estimates that the college is about 60 miles away. Low Price Rentals charges a $49 rental fee plus $0.16 per mile driven. Easy Rental charges a $25 fee plus $0.50 per mile.
Compare the two rental options.
Which company offers a better deal? How do you know?
Select the option that correctly answers both questions.
1.) Easy Rental, because it will charge $55.00 for the trip, while Low Price Rentals will charge $58.60 (wrong answer)
2.) Easy Rental, because it will charge $34.60 for the trip, while Low Price Rentals will charge $79.00
3.) Low Price Rentals, because it will charge $68.20 for the trip, while Easy Rental will charge $85.00
4.) Low Price Rentals, because it will charge $44.20 for the trip, while Easy Rental will charge $109.00

Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

The value of z in the figure is 56⁰.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is the source of the English word "angle." The common endpoint of two rays is known as the vertex, and the two rays are referred to as the sides of an angle.

In the given figure, there are two pairs of vertically opposite angles.

The vertical opposite angle of 124⁰ is y⁰.

The vertical opposite angle of x⁰ is z⁰.

Thus, 124⁰ = y⁰ and x⁰ = z⁰.

The sum of all angles is 360⁰.

Therefore,

124⁰ + x⁰ +  y⁰ + z⁰ = 360⁰

Putting y⁰ = 124⁰ and x⁰ = z⁰ in the above equation:

124⁰ + z⁰ + 124⁰ + z⁰ = 360⁰

248⁰ + 2z⁰ = 360⁰

Subtract 248⁰ from both sides:

2z⁰ = 360⁰ - 248⁰

2z⁰ = 112⁰

Divide both sides by 2:

z⁰ = 56⁰

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If values prοvided then transfοrmatiοn οf vectοrs can be determined.

In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.

Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.

Hοwever, in general:

A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.

A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.

Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.

If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.

Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.

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Complete question -

In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1

Answer:

Step-by-step explanation:

Let's use A to represent the number of adult tickets sold and C to represent the number of children tickets sold. We can set up two equations based on the information given:

The total number of tickets sold is the sum of adult and children tickets:

A + C = 487

The total proceeds from ticket sales is the product of the number of tickets and their respective prices:

47A + 29C = 17525

We can use the first equation to solve for one of the variables in terms of the other:

C = 487 - A

Substituting this expression for C into the second equation, we get:

47A + 29(487 - A) = 17525

Simplifying and solving for A:

18A + 14123 = 17525

18A = 3402

A = 189

So 189 adult tickets were sold. Using the equation C = 487 - A, we can find the number of children tickets sold:

C = 487 - 189 = 298

Therefore, 189 adult tickets and 298 children tickets were sold for the matinee.

Answer:

  41.7 m³

Step-by-step explanation:

You want a volume of 1472 ft³ expressed in cubic meters.

One foot is exactly 0.3048 meters, so we can write the fraction ...

  (0.3048 m)/(1 ft)

and it will have a value of 1. When we multiply by this, it does not change the length, but it changes the units of the length.

The volume is expressed as the third power of the length unit, so we need to use this conversion factor 3 times.

  1472 ft³ = (1472 ft³) × ((0.3048 m)/(1 ft))³ = 1472·0.3048³ m³ ≈ 41.7 m³

The volume of Alice's chicken coop is about 41.7 cubic meters.

The dependent clause in the sentence is: "when I no longer have to turn on the furnace every day."

The sentence has two parts: the first part is an independent clause, which can stand alone as a complete sentence:

"I will put away my winter clothes and store the blankets in the upstairs closet."

The second part is a dependent clause, which cannot stand alone as a complete sentence, and it starts with the subordinating conjunction "when."

The dependent clause provides additional information on when the action of putting away winter clothes and storing blankets will happen, and it depends on the independent clause to make sense.

Hence, "when I no longer have to turn on the furnace every day" is the dependent clause.

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Answer: To find the percent of waste, we need to first determine the fraction of waste.

For every 32 square feet used, 2 square feet are wasted. This can be expressed as:

2/32 = 1/16

So, the fraction of waste is 1/16.

To find the percentage, we need to multiply this fraction by 100:

1/16 * 100 = 6.25

Therefore, the percent of waste is 6.25%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the steps to calculate the percent waste of sheet steel:

Determine the amount of steel wasted per unit of steel used. The problem tells us that 2 sq ft of steel is wasted for every 32 sq ft used. Therefore, the waste-to-use ratio is 2/32.

Simplify the waste-to-use ratio, if necessary. In this case, the ratio can be simplified by dividing both the numerator and denominator by 2:

2/32 = 1/16

Convert the waste-to-use ratio to a percentage. To do this, we multiply the simplified ratio by 100:

1/16 * 100 = 6.25

Round the result, if necessary. The problem asks for a whole number or an exact decimal, so we round the result to one decimal place:

6.25 rounded to one decimal place is 6.3.

Therefore, the percent waste of sheet steel is 6.3%.

There are total 15 students who take all three subjects.

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.

We know that;

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C)- n(A ∩ C)+ n(A∩B ∩C)

Here, Total number of students in the school = 62

Hence, By using theorem;

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C)- n(A ∩ C)+ n(A∩B ∩C)

Here, Let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

62 =  40 + 42 + 38 - 20 - 28 - 25 + n(A∩B ∩C)

62 + 73 - 120 = n(A∩B ∩C)

n(A∩B ∩C) = 15

Therefore, There are total 15 students who take all three subjects.

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It is proved that  [tex]tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)[/tex]

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It has applications in fields such as engineering, physics, and navigation.

We can use the trigonometric identity:

[tex]tan^2(x) + 1 = sec^2(x)[/tex]

to derive the identity:

[tex]tan^2(x) = sec^2(x) - 1[/tex]

We can also use the identity:

[tex]sin^2(x) + cos^2(x) = 1[/tex]

to derive the identity:

[tex]cos^2(x) = 1 - sin^2(x)[/tex]

Then, substituting the second identity into the first, we get:

[tex]tan^2(x) = sec^2(x) - 1 = 1/cos^2(x) - 1 = (1 - cos^2(x))/cos^2(x) = sin^2(x)/cos^2(x) = tan^2(x)*sin^2(x)/(1 - tan^2(x))[/tex]

Multiplying both sides by [tex](1 - tan^2(x))[/tex], we get:

[tex]tan^2(x)*(1 - tan^2(x))*sin^2(x) = tan^2(x)*(1 - tan^2(x)) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) - tan^4(x)*sin^2(x) = tan^2(x) - tan^4(x) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)[/tex]

Hence Proved

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Therefore , the solution of the given problem of range comes out to be option c) BETWEEN .

The variable's range is calculated by multiplying the maximum observed value by its minimum observed (minimum). Variable steel prices and different designs are two examples of potential range or central difference limits. The breadth or scope of a process or action gives a hint as to the utmost or anticipated spread of a weapon's missile. The range of a list or subgroup is the integer between its lowest and maximum.

Here,

To specify a range and is often used with date criteria

the operation which we use :

Is option c) BETWEEN

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Answer:

11, 7, 3, -1, -5, -9

Step-by-step explanation:

To find the next two terms in the sequence 11, 7, 3, -1, we need to determine the pattern or rule that generates the sequence.

In this case, we can see that each term is decreasing by 4, so the next two terms should be -5 and -9.

Therefore, the complete sequence is:

11, 7, 3, -1, -5, -9

The correct  equation is D. x2 + y2 + 6x − 24y + 148 = 0.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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Answer:

Step-by-step explanation:

The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. In each of the given expressions, we can use the Distributive Property to expand the expression by multiplying the coefficient outside the parentheses to each term inside the parentheses, and then adding the resulting products. This results in an equivalent expression that is simplified but has the same value as the original expression.

Answer:

Step-by-step explanation:

6(x+4)

Distribute 6 between the terms x and 4 as:

6(x)+6(4)

=6x+24

2(5+r)

Distribute 2 between the terms 5 and r as:

2(5)+2(r)

=10+2r

11(n+3)

Distribute 11 between the terms n and 3 as:

11(n)+11(3)

=11n+33

To determine Kristina's federal taxes owed for 2022, we need to calculate her taxable income and apply the appropriate tax rate based on the tax brackets for single filers.

From her gross income of $32,500, we need to subtract the deductions that she can claim. Based on the information provided, Kristina can claim either the standard deduction of $12,550 or itemize her deductions, which in her case would be $6,320 + $19,500 = $25,820.

Since the itemized deductions are greater than the standard deduction, we will use the itemized deductions to calculate her taxable income.

Kristina's taxable income would be:

Gross income - Itemized deductions = $32,500 - $25,820 = $6,680

Next, we need to determine which tax bracket Kristina falls into. For tax year 2022, the tax brackets and rates for single filers are:

- 10% on income up to $10,275

- 12% on income between $10,275 and $41,775

- 22% on income between $41,775 and $91,525

- 24% on income between $91,525 and $191,525

- 32% on income between $191,525 and $416,700

- 35% on income between $416,700 and $418,850

- 37% on income over $418,850

Since Kristina's taxable income of $6,680 falls into the 10% tax bracket, her federal tax liability would be:

$6,680 x 0.10 = $668.00

Therefore, Kristina's federal taxes owed for 2022, using the deduction that is best for her, would be $668.00.

Answer:

Step-by-step explanation:

To calculate Kristina's federal taxes owed for 2022, we need to determine her taxable income first. To do this, we need to subtract her deductions from her gross income:

Gross Income = $32,500

Deductions = Mortgage Interest + Medical Expenses

Deductions = $6,320 + $19,500

Deductions = $25,820

Taxable Income = Gross Income - Deductions

Taxable Income = $32,500 - $25,820

Taxable Income = $6,680

Now, we can use the tax brackets and rates for single filers to determine Kristina's federal income tax liability for 2022. Based on the IRS tax tables for 2022, her tax liability would be calculated as follows:

The first $10,275 of taxable income is taxed at 10% = $1,027.50

The amount of taxable income over $10,275 but not over $41,775 is taxed at 12% = $601.20

Total Tax Liability = $1,027.50 + $601.20 = $1,628.70

Therefore, Kristina's federal taxes owed for 2022, using the deduction that is best for her, would be $1,628.70.

Answer:

Step-by-step explanation:

sh45haaa           aaaa

Answer:

if 49.4 moles of MnO4- are available, 4300 g (or 4.3 kg) of MnO2 will be produced.

Step-by-step explanation:

16H+ (aq) + 2MnO4- (aq) + 10Br- (aq) → 2MnO2 (s) + 5Br2 (aq) + 8H2O (l)

From the balanced equation, we can see that 2 moles of MnO4- reacts with 2 moles of MnO2. Therefore, the number of moles of MnO2 formed is equal to the number of moles of MnO4- used.

First, let's calculate the number of moles of MnO4- used:

m(H2O) = 445 g

M(H2O) = 18.015 g/mol

n(H2O) = m/M = 445 g / 18.015 g/mol = 24.7 mol

Since 1 mol of H2O reacts with 2 moles of MnO4-, the number of moles of MnO4- required to react with 24.7 mol of H2O is:

n(MnO4-) = 2 × n(H2O) = 49.4 mol

Therefore, if we have 49.4 moles of MnO4- available, all of the MnO4- will be consumed and form the same number of moles of MnO2. The molar mass of MnO2 is 86.94 g/mol. The mass of MnO2 produced can be calculated as:

m(MnO2) = n(MnO2) × M(MnO2) = 49.4 mol × 86.94 g/mol = 4300 g

Therefore, if 49.4 moles of MnO4- are available, 4300 g (or 4.3 kg) of MnO2 will be produced.

Answer: 6x = 6x. || x is equal to any number.

Step-by-step explanation:

Step 1. 3x + 3 / 9 = 2x + 2 / 6

Step 2. We multiply all terms by the same value to eliminate fraction denominators, then cancel multiplied terms that are in the denominator. After this, distribute. 6x + 6 = 6x + 6

Step 3. Subtract 6 from both sides. 6x (6 - 6) = 6x (6 - 6)

Step 4. Simplify the expression. 6x = 6x

Step 5. x = any number.

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is [tex]\bar x\pm t\frac{s}{\sqrt{n}}[/tex].

Where, [tex]\bar x[/tex] is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

[tex]\bar x[/tex] =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

[tex]\bar x\pm tS_c[/tex]

[tex]\bar x+ tS_c[/tex] =1.267-2.7564(0.2246) =0.6479

[tex]\bar x- tS_c[/tex] =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

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Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = [tex]\frac{8-(-3)}{6-(-5)}[/tex] = [tex]\frac{8+3}{6+5}[/tex] = [tex]\frac{11}{11}[/tex] = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = [tex]\frac{4-3}{-1-0}[/tex] = [tex]\frac{1}{-1}[/tex] = - 1

We can conclude that -

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is that Khadija, Adnan, and Husam sent a total of 80 text messages over their cell phones during the weekend. Husam sent 2 times as many messages as Adnan. Adnan sent 8 more messages than Khadija.

Assume that Khadija sent {x] messages. Then, Adnan would have send

(x + 8) messages and Husam would have sent 2(x + 8) messages. We can

write the sum as -

x + x + 8 + 2x + 16 = 80

4x + 24 = 80

4x = 56

x = 7

Messages sent by Khadija = 7

Messages sent by Adnan = 15

Messages sent by Husam = 30

Therefore, we can conclude that -

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The correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

A mathematical argument is a sequence of statements and reasons given with the aim of demonstrating that a claim is true or false.

Given is that Bob is 13 feet tall. So, Bob is taller than most other people.

The correct statement is -

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

Therefore, the correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

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Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Using Standard normal distribution, The probability that a family spends between $175 and $255 in playing video games every year is approximately 0.4821 or 48.21%.

Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring. It is defined as the measure of the likelihood of an event happening, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, the probability of rolling a 3 on a fair six-sided die is 1/6 because there is only one favorable outcome (rolling a 3) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

There are two types of probability: theoretical probability and experimental probability. Theoretical probability is based on mathematical analysis and assumes that all possible outcomes are equally likely to occur. Experimental probability, on the other hand, is based on actual observations and measurements of events and their outcomes.

Probability theory has many practical applications in fields such as statistics, economics, engineering, and physics. It can be used to model and predict the behavior of complex systems, such as stock prices, weather patterns, and the spread of diseases. Additionally, probability theory is used in decision-making processes to determine the most favorable course of action based on the likelihood of different outcomes.

(a) To find the probability that a family spends over $290 in playing video games every year, we need to standardize the value using the z-score formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

So, z = (290 - 238.92) / 31.38 = 1.63

Using a standard normal distribution table or a calculator, we can find that the probability of a z-score greater than 1.63 is 0.0516.

Therefore, the probability that a family spends over $290 in playing video games every year is approximately 0.0516 or 5.16%.

(b) To find the probability that a family spends less than $150 in playing video games every year, we again need to standardize the value using the z-score formula:

z = (x - μ) / σ

So, z = (150 - 238.92) / 31.38 = -2.83

Using a standard normal distribution table or a calculator, we can find that the probability of a z-score less than -2.83 is 0.0023.

Therefore, the probability that a family spends less than $150 in playing video games every year is approximately 0.0023 or 0.23%.

(c) To find the probability that a family spends between $175 and $255 in playing video games every year, we need to standardize the values of both $175 and $255 using the z-score formula:

z1 = (175 - 238.92) / 31.38 = -2.03

z2 = (255 - 238.92) / 31.38 = 0.51

Using a standard normal distribution table or a calculator, we can find the probability of a z-score between -2.03 and 0.51 is 0.4821.

Therefore, the probability that a family spends between $175 and $255 in playing video games every year is approximately 0.4821 or 48.21%.

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Answer:

When cash is received, it should be entered as a debit to the cash account, as the cash account is an asset account that reflects an increase in the company's assets. Therefore, the journal entry would be:

Date: Oct - 1

Account: Cash

Account Number: 1000

Debit: $8000

Credit: $0

Step-by-step explanation:

these are the answer s hope this helps.

f(x) is discontinuous.

Since LHS ≠ RHS ≠ f(x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

here, we have,

We have,

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Now,

A x = 1

LHS of f(x) = lim f((h - 1)) =  (h - 1 - 1) = 0 -2 = -2

RHS of f(x) = lim  f(h + 1) =  (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1

f(1) = x + 1 = 1 + 1 = 2

We see that,

LHS ≠ RHS ≠ f(x)

So,

f(x) is not continuous, it is discontinuous.

Thus,

f(x) is discontinuous.

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The complete question.

Show that the following functions are continuous or discontinuous at x = 1.

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

We would expect 306 people to go to see movies now, after the 32% decrease.

The expected value is calculated in statistics and probability analysis by multiplying each conceivable outcome by the likelihood that each outcome will occur, then adding up all of those values. By calculating anticipated values, investors can choose the scenario that is most likely to provide the desired outcome.

We must subtract 32% from the original number of persons in order to arrive at the anticipated number of people who would currently attend movies.

Let x represent the predicted proportion of moviegoers in the present. The following equation can be created:

x = 450 - 0.32*450

By condensing this equation, we obtain:

x = 450 - 144

x = 306

As a result, given the 32% decline, we would anticipate 306 individuals to attend movies this week.

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