Name the relationship

1). Adjacent angle

2). Alternate angles

3). Corresponding angles

4). Vertical angles

5). Supplementary angles

Answer:

£3549

Step-by-step explanation:

The value of the car depreciates by 35% each year, so we can calculate the depreciation for 2006 as follows:

Depreciation for 2006 = 0.35 * £5460 = £1911

The value of the car at the end of 2006 is:

£5460 - £1911 = £3549

Answer:

The depreciation rate:

Step-by-step explanation:

Step 1: Total depreciation = 35% x 2 years = 70%

Step 2: Find the value of the car at the end of 2006:

Value at the end of 2006 = 5460 x (100 - 70)/100 = 1638

Therefore, the value of the car at the end of 2006 was £1638.

Answer: 75%

Step-by-step explanation: To calculate,

(0.1 x 100) + (0.3 x 80) + (0.2 x 95) + (0.4 x 75) = 83%

The lengths of the pieces are 1ft and 9ft

From the information given, we have that;

The shorter side = x

The longer side of the board = 6 +3x

The total length = 10

Substitute the values, we have;

x + 6 + 3x = 10

collect the like terms

x + 3x = 10 -6

Add or substract the like terms, we have;

4x = 4

Now, make 'x' the subject of formula by dividing by 4, we get;

4x/4 = 4/4

x = 1 ft

The longer side = 9ft

Hence, the values are 1 and 9

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Answer:

[tex]BC= 2.23[/tex]

Step-by-step explanation:

We can solve this problem using the trigonometric identity of [tex]sin[/tex].

We know:

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\sin(50 \textdegree) = \frac{?}{3}\\[/tex]

If we solve for [tex]?[/tex] we get:

[tex]3sin(50 \textdegree) \approx 2.23[/tex]

Answer:

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Where r is the radius of the circle.

Plugging in the value for the radius of the Earth, we have:

Circumference = 2π(6371 km) = 12,742 km

So the length of the rope, assuming it makes a perfect circle around the Earth, would be 12,742 km = 2π(6371) kilometers.

Step-by-step explanation:

Answer:

360 cm^2

Step-by-step explanation:

The length of the rectangle can be found using the formula for perimeter:

Perimeter = 2 * (length + width)

Rearranging the equation, we can solve for the length:

length = (Perimeter - 2 * width) / 2

Plugging in the given values:

length = (78 - 2 * 15) / 2 = (78 - 30) / 2 = 48 / 2 = 24 cm

Next, the area of the rectangle can be found using the formula:

Area = length * width

Plugging in the given values:

Area = 24 * 15 = 360 cm^2

Answer: This data can be proven to be incorrect using the Principle of Inclusion-Exclusion.

The Principle of Inclusion-Exclusion states that for two events A and B, the number of elements in the union of A and B is equal to the sum of the number of elements in A and the number of elements in B minus the number of elements in their intersection.

Let's denote the number of students who failed in Maths as M, Accounts as A, and Costing as C.

From the information given, we have the following relationships:

M = 750

A = 600

C = 600

A ∩ C = 150

M ∩ A = 450

M ∩ C = 400

M ∩ A ∩ C = 75

Applying the Principle of Inclusion-Exclusion, the number of students who failed in at least one subject is:

M + A + C - (A ∩ C) - (M ∩ A) - (M ∩ C) + (M ∩ A ∩ C) = 750 + 600 + 600 - 150 - 450 - 400 + 75 = 925

However, the number of students who appeared for the exams is 1000, which means that the number of students who passed in all subjects should be 1000 - 925 = 75.

But we have already determined that the number of students who failed in all subjects is 75, which means that there are 75 students who are counted twice. This leads to a contradiction, and therefore the data given cannot be correct.

Step-by-step explanation:

The stronger one is 4 scoops of coffee for 6 cups of water.

Strong coffee is prepared by employing a greater coffee grounds-to-water ratio. Typically, 2 teaspoons of coffee grinds are used for every 6 ounces of water in a strong cup of coffee. To make a truly strong cup of coffee, use 3 teaspoons of ground coffee for every 6 ounces of water. If you use a French press, you need also increase the steeping time.

In the given question, it is stronger to use 4 scoops of coffee for 6 glasses of water. This is due to the fact that there are more coffee grounds in relation to the amount of water, resulting in a higher concentration of coffee in the combination.

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4. Reflexive property

5. SSS

Note that in order to solve the above, we had to assume a start date for the construction. Hence, by March 2022​, a total number of liters supplied is 3,380,000 liters.

To solve the problem, we need to know how many weekdays are in March 2022. March 2022 has 23 weekdays (31 days - 4 Saturdays - 4 Sundays).

Since the company has to supply a minimum of 12 water tankers and a maximum of 16 water tankers to the construction site on weekdays, we can assume an average of 14 water tankers per weekday. Therefore, the total number of water tankers to be supplied on weekdays in March 2022 would be:

14 water tankers/day x 23 weekdays = 322 water tankers

On Saturdays, the company has to supply a minimum of 4 water tankers. Since there are 4 Saturdays in March 2022, the total number of water tankers to be supplied on Saturdays in March 2022 would be:

4 water tankers/day x 4 Saturdays = 16 water tankers

Therefore, the total number of water tankers to be supplied in March 2022 would be:

322 water tankers (weekdays) + 16 water tankers (Saturdays) = 338 water tankers.

Assuming each water tanker carries a load of 10,000 liters, the total volume of water supplied to the construction site in March 2022 would be:

338 water tankers x 10,000 liters/tanker = 3,380,000 liters

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Full Question:

The company has to supply a minimum of 12 water tankers and a maximum of 16 water tankers to the construction site on weekdays except on Saturdays which is limited to the minimum of 4 water tankers a day. Assuming the start month for the construction was February 2022, Calculate the total number of water loads that were supplied to the project on the constitution site by the water tanker in March 2022​

The range is the set of all y-values used by the graph.

This graph's lowest y-value is 3 at the point (0,3).

The graph almost reaches as y-value of 12, but doesn't actually get there because of the closed circle at (-3,12).

The range is [3, 12) or { y | 3 ≤ y < 12}, depending on the notation needed.

Answer:

c

Step-by-step explanation:

trust me

Unfortunately, a lot of software apps tend to use up battery life even if you aren't currently using the phone. This leads to the phone feeling more sluggish over time. To help combat this, it's helpful to clear out any unused apps and clear up the cache.

Even if software was perfectly written the most efficiently, and apps weren't intrusive, the physical nature of the battery itself has limitations. The capacity of the battery will slowly decay each time you charge or use your phone. Even just sitting idle it slowly loses capacity. This loss is very small that it's hard to detect. But add it up over time and the losses will get more noticeable. This is why you cannot simply charge a battery an infinite number of times. As with all things in life, there's a limit.

Summary: Yes the capacity will go down but ever so slightly. It depends how often the updates are done and what software is being updated. Ideally the updated software should be more efficient with the battery life. However, life isn't perfect and there will likely be flaws.

The boat has a top speed of approximately 29.7 miles per hour and a displacement of approximately 73,934 metric tons.

Answer:

[tex]29.9[/tex] miles per hour

[tex]73482[/tex] metric tons

Step-by-step explanation:

We are given:

top speed of 26 knots

displacement of 81,000 tons

It is asking us to convert knots to miles per hour.

It is asking us to convert tons to metric tons.

We can use conversion factors to complete the unit conversions.

1 knot (kt) = 1.15077945 miles per hour (mph)

1 ton = 0.907185 metric tons

Numerical Evaluation

Lets convert our top speed.

We can set up an equation like this

[tex]\frac{1}{1.15077945} =\frac{26}{x}[/tex]

Lets solve for [tex]x[/tex].

Cross multiply.

[tex]1x=26*1.15077945[/tex]

Evaluate [tex]26*1.15077945[/tex].

[tex]26*1.15077945 =29.9202657[/tex]

Round to the nearest tenth.

[tex]29.9[/tex] miles per hour

Lets convert our displacement.

We can set up an equation like this

[tex]\frac{1}{0.907185 } =\frac{81000}{x}[/tex]

Lets solve for [tex]x[/tex].

Cross multiply.

[tex]1x=81000*0.907185[/tex]

Evaluate [tex]81000*0.907185[/tex].

[tex]81000*0.907185=73481.985[/tex]

Round to the nearest tenth.

[tex]73482[/tex] metric tons

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Answer:Robert

Step-by-step explanation: 42/48 = 0.875,
43/50 = 0.86

0.875 > 0.86

Answer:

D. Machines, vehicles, furniture, and appliances are not considered liabilities. Liabilities are obligations or debts that a business owes to others. They are usually in the form of loans or accounts payable and represent money that must be paid in the future.

Machines, vehicles, furniture, and appliances are assets, which are resources that a business owns and that have monetary value. Assets can be sold to generate cash or used to produce goods or provide services. While assets can be used to secure loans, they do not represent a debt or obligation that must be paid in the future like a liability

Answer:

D

Step-by-step explanation:

current liability is money owed to suppliers in the form of accounts payable . Current liabilities are typically settled using current assets, which are assets that are used up within one year.

The population of chickadees in the region is 8,400 and the population of blue jays is 3,600.

percentage, a relative value indicating hundredth parts of any quantity.

First, we can find the population of chickadees by multiplying the population of phoebes by 0.7 (100% - 30%):

Population of chickadees = 0.7 x 12,000 = 8,400

Next, we can find the population of blue jays by multiplying the population of phoebes by 0.3:

Population of blue jays = 0.3 x 12,000 = 3,600

Therefore, the population of chickadees in the region is 8,400 and the population of blue jays is 3,600.

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The lowest values of x are;

1. x = 1/2, x = 2/4, x = 3/6

2. x = 14, 15, 16

From the information given, we have that;

10-3x > 8

collect the like terms, we get;

-3x > 8 - 10

subtract the values

-3x > -2

Make 'x' the subject

x > 2/3

5x-27 > 7x

collect the like terms

5x - 7x> 27

subtract the like terms

-2x> 27

Make 'x' the subject

x > -27/2

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Step-by-step explanation:

a normal distribution with mean m and standard deviation d gives us a few regular pieces of information.

for example, we know that 68.2% of all events are within the interval

m ± d

and 95.4% of all events are in the interval

m ± 2d

and 99.7% of all events are in the interval

m ± 3d

that means only 0.3% of all events are outside the interval

m ± 3d = 10.2 ± 3×0.12 = 10.2 ± 0.36

now, when a bag is filled with 9.8 ounces, it is 0.4 off the mean (10.2).

that means it is outside the 10.2 ± 0.36 interval and inside the 0.3% "exception" range.

you have to see it also that way : 0.3% means 3 out of 1000 bags are in that range.

so, yes, it is considered unusual.

The velocity of the apple, to the nearest hundredth, when it hit the ground is equal to 13.35 meters per seconds.

In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.

From the information provided about an apple that fell off a branch of the tree, a function that models the velocity of the apple include the following:

Velocity = (19.8d)^{1/2}

Where:

d represents the distance in meters.

Velocity = (19.8 × 9)^{1/2}

Velocity = (178.2)^{1/2}

Velocity = 13.35 meters per seconds.

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The linear equation that passes through the two given points is:

y = (5/8)*x + 19/8

We want to find the equation of a line that passes through (1, 3) and (9, 8).

Remember that the slope of a line that passes through two points (x₁, y₁) and (x₂, y₂) is given by the equation:

slope = (y₂ - y₁)/(x₂ - x₁)

Here we know the two points (1, 3) and (9, 8).

Then the slope is:

slope = (8 - 3)/(9 - 1) = 5/8

We can write the line as:

y = (5/8)*x + b

To  find the value of b,we can evaluate in one of the given points, for example, if we use (1, 3) then we will get:

3 = (5/8)*1 + b

3 = 5/8 + b

3 - 5/8 = b

24/8 - 5/8 = b

19/8 = b

The linear equation is:

y = (5/8)*x + 19/8

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-17, -15 and -13 are the three consecutive odd integers.

Linear equation are equation that has a leading degree of 1

Let the smallest integer is '2x - 1'

The next two integers are 2x + 1 and 2x + 3

If the sum of three consecutive odd integers is 19 less than twice the smallest of the three integers, hence;

2x  - 1 + 2x + 1 + 2x + 3 = 2(2x-1) - 19

6x + 3 = 4x - 21

6x - 4x = -21 -3

3x = -24

x = -8

First number = 2(-8) - 1 = -17

Second number = 2(-8) + 1 = -15

Third number = 2(-8) + 3 = -13

Hence the 3 consecutive odd integers are -17, -15 and -13.

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Complete question

The sum of 3 consecutive odd integers is 19 less than twice the smallest of integers , what are the integers?

Answer:

Step-by-step explanation:

the Answer is b

Answer:

Choice B is the closest

Step-by-step explanation:

A-lateral = 2πrh

r = D/2 = 16.5/2 = 8.25

h = 14

A = 2π(8.25)(14) = 725.7 in²

D because none of the inputs (x) are repeated. All the others have the same input with two or more different outputs.

Answer:

Step-by-step explanation:

Let me explain step by step:

Determine the common ratio: We see that each term is half the previous term, so the common ratio is 1/2.

Write the formula for the nth term: We can use the formula for an infinite geometric series to find the nth term:

a_n = a_1 * r^(n-1), where a_1 is the first term (60), r is the common ratio (1/2), and n is the term number.

Plug in the values: We want to find the 9th term, so we plug in the values into the formula:

a_9 = 60 * (1/2)^(9-1)

Calculate the expression: We can simplify the expression by using the exponent rule for powers of 1/2:

a_9 = 60 * (1/2)^8

Divide the result by 256: We can simplify the expression further by dividing both sides by 256:

a_9 = 60 * 1/256

a_9 = 60 / 256

Get the final answer: We divide 60 by 256 to get the final answer:

a_9 = 0.234375

So the 9th term of the sequence is approximately 0.234375.

The probability is 0.79 that a randomly chosen student has visited 21 or fewer states.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

from the given data we get,

The categories are mutually exclusive, so we have ...

P(≥21) = P(21-30) +P(31-40) +P(41-50)

           = 45% +19% +15%

 P(≥21) = 79%

           =0.79

The probability is 0.79 that a randomly chosen student has visited 21 or fewer states.

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There were 375 adult tickets sold and 316 student tickets for the school play.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the number of student tickets would be x and the number of adult tickets would be y

As per the question, we have a system of equations:

x + y = 691   ....(i)

x = y - 59     ....(ii)

Substitute the value of x = y - 59 in equation (i),

y - 59 + y = 691

2y = 691 + 59

2y = 750

y = 375

Substitute the value of y = 375 in equation (ii), and solve for x:

x = 375 - 59

x = 316

Thus, there were 375 adult tickets sold.

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The complete question would be as:

A total of 691 tickets were sold for the school play. There were 59 fewer student tickets sold than adult tickets. How many adult tickets were sold?

If we select all possible samples of a certain size from this population, then, on average, the value of the sample variance is 36.

In Science, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study.

In Statistics and science, a sample can be defined as a set of data that is collected from a population based on a well-defined sampling procedure.

In this context, we can reasonably infer and logically deduce that the sample variance on average would be equal to 36 because all possible samples of a certain size are selected from a population of 36 members.

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Given expression q=p+7

Expression can be defined as contains one or more variables and constants with one or more arithmetic operators.

Simply put the p values in the expression. solve it and get the q values.

q=p+7 in the place of p submit p=0

q=0+7

q=7

q=p+7  in the place of p submit p=2

q=2+7

q=9

q=p+7  in the place of p submit p=3

q=3+7

q=10

Therefore, The values of q are 7,9,10

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The missing numbers are:

7,9 and 10 when 0, 2, and 3 respectively.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

An equation,

q = p + 7.

Substituting the values of p:

When p = 0,

q = 0 + 7

q = 7.

When p = 2,

then q = 9.

And when p = 3,

q = 10

Therefore, all the required values are given above.

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