Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.



-1/3
-3
-1

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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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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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.

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​

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:

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?

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.

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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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.

You have to  spend $26,500 over the course of the first year with rent and equipment.

To calculate how much money you will spend over the course of the first year with rent and equipment, you need to add the cost of rent to the cost of equipment.

In a hypothetical scenario, Let's assume that the cost of rent for the first year is $1,500 per month.

To calculate the total cost of rent for the first year, you can multiply the monthly rent by the number of months in a year:

$1,500/month x 12 months = $18,000

So the total cost of rent for the first year is $18,000.

To calculate the total cost of equipment, you can take the average cost of the equipment (i.e., the midpoint of the given range) and assume that you will spend that amount:

($7,000 + $10,000) / 2 = $8,500

So the total cost of equipment is $8,500.

To calculate the total cost of rent and equipment for the first year, you can add the two costs together:

$18,000 + $8,500 = $26,500

Therefore, you will spend $26,500 over the course of the first year with rent and equipment.

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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.

Answer:Robert

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

0.875 > 0.86

The balance in the account after 16 years, given interest rate and the compounding period, is $ 10, 421. 83.

To find the balance after 16 years, the formula to be used is the compound interest formula which is:

= Amount invested x ( 1 + rate ) ^ number of periods

Rate :

= 6 % / 12 months per year

= 0. 5 %

The number of periods :

= 16 years x 12 months a year

= 192 periods

The value would be :

= 4, 000 x ( 1 + 0. 5% ) ¹⁹²

= $ 10, 421. 83

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The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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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

The measure of each angle and side is given above.

Given is that the red triangle is a dilation of the blue triangle, with a scale factor of {k} = 1.5.

We can write -

57/RT = 1.5

RT = 57/1.5

RT = 38

LM/20 = 1.5

LM = 20 x 1.5

LM = 30

MN/26 = 1.5
MN = 26 x 1.5
MN = 39

∠2 = 15°

∠1 = 121°

Therefore, the measure of each angle and side is given above.

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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%

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.

Slope line formula is used for determining the slope of a line. Based on the given points, the slope of line is 2/3.

To find the slope of the line passing through the given points, we can use the slope formula, which states that the slope of a line passing through two points (x1, y1) and (x2, y2) is given by the expression:

slope = (y2 - y1) / (x2 - x1)

Using this formula, we can calculate the slope of the line passing through the three given points as follows:

slope = (2 - (-2)) / (3 - (-3)) = 4/6 = 2/3

Therefore, the slope of the line passing through the given points is 2/3.

Alternatively, we can observe that the three points are collinear and lie on the same straight line. We can use this fact to find the slope of the line by computing the rise over run between any two of the points. For example, using the points (0,0) and (-3,-2), we have a rise of 2 and a run of 3, so the slope is 2/3. This confirms that the slope of the line passing through the given points is 2/3.

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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]

4. Reflexive property

5. SSS

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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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.

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

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

-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?

The probability that the hacker guesses the password on his first try is, 0.001600.

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of a hacker guessing the correct password on their first try would be 1 in 10,000, since there are a total of 5⁴ possible combinations of 4 digits, each between 0 and 4, inclusive.

The probability can be calculated as:

= 1 / 5⁴

= 1 / 625

= 0.0016

Rounded to six decimal places, the probability is: 0.0016 = 0.001600.

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Answer:

Step-by-step explanation:

the Answer is b

Answer:

p = 23

Step-by-step explanation:

using the rules of exponents

• [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

then

[tex](x^3)^{5}[/tex] ([tex]x^{8}[/tex] )

= [tex]x^{3(5)}[/tex] × [tex]x^{8}[/tex]

= [tex]x^{15}[/tex] × [tex]x^{8}[/tex]

= [tex]x^{(15+8)}[/tex]

= [tex]x^{23}[/tex]

= [tex]x^{p}[/tex] ← with p = 23