Which equation represents a proportional relationship that has a constant of proportionality equal to 2? y = x + 2 y = StartFraction x over 2 EndFraction y = 2 x y = 2

Answer:

2 and 6

Step-by-step explanation:

2 and 6 is the correct option

Answer:

The constant of proportionality is 0.45.

Step-by-step explanation:

The constant of proportionality is the ration of two different quantities or is the unit value of a quantity.

The expression representing the price of bananas is:

\(p=0.45n\)

To determine the unit rate of bananas divide the price by the number of bananas.

\(\text{Unit Rate}=\frac{p}{n}\)

                \(=\frac{0.45n}{n}\\\\=0.45\)

Thus, the constant of proportionality is 0.45.

Answer:

d

Step-by-step explanation:

-5 is the least because it is the furthest from zero, -0.5 is greater than -5 because it is closer to zero, zero is zero, 1.25 is less than 1.5

The total costs of the SC would be the total amount of money that s needed for a company or individual to purchase goods and services.

The concept of Sum of Costs ( SC ) refers to the total amount of money needed to produce or provide a good or service. It includes all the costs associated with production, such as the cost of materials, labor, overhead, and other expenses.

Sum of costs is an important concept in business and economics because it helps companies to determine the profitability of their products or services and make informed decisions about pricing, production, and investment.

The question is not complete so I gave you a summary of the concept of the sum of costs.

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When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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Answer:

The correct answer is -4.

Step-by-step explanation:

have a good day yall

Evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).

To evaluate a function, plug in the given value of the input (x) and simplify.

Thus:

f(x) = –2x² – 3x + 5

Substitute x = -3 into the function

f(-3) = –2(-3)² – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -4

Therefore, evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).

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Answer:

1. \(-tan (x)\)

2\(-san(x)\)

3. \(cos (x)\)

4. \(tan (\pi +3)\)

Step-by-step explanation: May God bless you and your family during spring break

Answer:D 3,215.36 square feet. 1.9m. 2)

Step-by-step explanation:

Answer:

perimeter = 54.08

Step-by-step explanation:

We are told that the area of a square kitchen is 182.25 m². We are then asked to calculate the perimeter of the kitchen.

The perimeter of a shape is simply the sum of the length of its sides. Therefore, in order to calculate the perimeter of the kitchen, we need to know the length of its sides.

Given that we know the area of the square kitchen, we can use the formula:

\(\boxed{\mathrm{Area = side^2}}\),

and rearrange it to make the side the subject:

Area = side²

⇒ \(182.25 = \mathrm{side^2}\)

⇒ \(\sqrt{182.85} = \mathrm{\sqrt{side^2}}\)         (taking the square root of each side)

⇒ \(13.52 = \mathrm{side}\)

⇒  side = 13.52 m

Therefore, the length of each side of the square kitchen is 13.52 m.

A square has 4 sides; therefore the perimeter of the kitchen can be calculated as follows:

perimeter = \(4 \times 13.52\)

                 = \(\bf 54.08 \ m\)

Therefore, the perimeter of the square kitchen is 54.08 m.

Answer:

see below

Step-by-step explanation:

He forgot to multiply 'x' by '2'  in the first step

It should be

4x-1 = 5 + 2 x

2x = 6

x = 3

The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

at least 10 are repairable = 1/3

from 3 to 8 are repairable = 1/5 *8/15

exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

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So, the possible final values of n for positive values of K are 0 and K.

The algorithm contains two nested loops, one labeled "p" and the other labeled "q." The outer loop labeled "p" is executed K times, and the inner loop labeled "q" is executed K times for each iteration of the outer loop.

Initially, the value of n is set to 0. In each iteration of the inner loop labeled "q," the value of n is stored in a temporary variable "temp" and then decremented by 1. After K iterations of the inner loop labeled "q," the value of n will be decremented by K.

In each iteration of the outer loop labeled "p," the value of n is stored in a temporary variable "temp" and then incremented by 1. After K iterations of the outer loop labeled "p," the value of n will be incremented by K.

The final value of n will depend on the value of K. If K is even, the net effect of the decrements and increments will be zero, and the final value of n will be 0. If K is odd, the net effect of the decrements and increments will be an increment of K, and the final value of n will be K.

So, the possible final values of n for positive values of K are 0 and K.

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HOPE THIS HELPS!!!!!!!!!!!!!! :)

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer:

no solutions

Step-by-step explanation:

Solving

Step 1: Subtract 3 from both sides.

Step 2: Subtract 3 from both sides.

Therefore, there are no solutions to this equation.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

No solution l

Solving steps:

=> R + 3= (r - 5)

=> \(r - r + 3 = r - r - 5\)

=> \(3 = - 5\)

Step 1: substract 3 from both side

=> \(3 - 3 = - 5 - 3\)

Step 2: Subtract 3 - 3 and -5 - 3

=> 0 = - 8

Answer:

Just leave it how it is, you don't have to do anything with the negative symbol.

Answer:

A.true

Step-by-step explanation:

The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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Ram will be 5 times as old as he is now after 8 years. Ram will be 10 times as old as he is now in 18 years hence.

To determine when Ram will be 10 times as old as he is now, let's first find out his current age.
The student question states that Ram will be 5 times as old as he is now after 8 years. Let's denote Ram's current age as "x" years.
Step 1: Write the equation to represent Ram's age 8 years from now.
In 8 years, Ram's age = 5 × (current age)
So, 5x = x + 8
Step 2: Solve the equation to find Ram's current age.
4x = 8
x = 2
So, Ram's current age is 2 years old.
Now, let's find how many years hence he will be 10 times as old as he is now.
Step 3: Write the equation to represent when Ram will be 10 times as old as he is now.
10 × (current age) = (current age) + (years hence)
10 × 2 = 2 + y (where y = years hence)
Step 4: Solve the equation to find the years hence.
20 = 2 + y
y = 18
So, Ram will be 10 times as old as he is now in 18 years hence.

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We can say that approximately 48 villagers (40% of 120) are under the age of 25. This means that just under half of the population in this village is under the age of 25.

According to the pie chart, we can see that the village of 120 people has 20% of its population over the age of 60. To determine the exact number of villagers over 60, we can multiply the total population by the percentage of people over 60:

120 x 20% = 24

So there are 24 villagers over the age of 60 in this village.

As for the percentage of villagers under the age of 25, we can see from the pie chart that 40% of the population falls into this category. However, it is important to note that the question mentions a village of 120 people, while the percentage given in the chart may not reflect this exact number. Therefore, we cannot determine the exact number of villagers under the age of 25 without additional information.

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Answer:

20 feet

Step-by-step explanation:

(7 1/3)3 = 22 feet

22 - 2 = 20 feet

4.25 is the weighted average of 4, 5, and 6. To compute this, multiply each value by its corresponding weight, add the totals, then divide the result by 100% of the total weight. 4 x 0.75 Equals 3, 5 x 0.15 = 0.75, and 6 x 0.10 = 0.6 in this situation.

4.25 is the weighted average of 4, 5, and 6. Each number is multiplied by its corresponding weight before being added up to determine the average. 4 x 0.75 Equals 3, 5 x 0.15 = 0.75, and 6 x 0.10 = 0.6 in this situation. These sum to 4.35 when combined together. The weighted average is then calculated by dividing this number by the total weight of 100%. Adding the weights results in the total weight of 100% (0.75 + 0.15 + 0.10 = 1). The weighted average is 5.25 when the total weight (1) is divided by the sum of the weighted values (4.35). When values are given various weights based on their significance, weighted averages are helpful.

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Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

The expressions when compared are

The task in this question is given as

The values of the expressions by placing the multiplicand in front of the root sign

Given the product expression

a * b

We have

Multiplier = a and Multiplicand = b

Using the above as a guide, we have the following:

For expression comparison, we have

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The given function as;

f(x) = x² - 8x + 3

f(x + h) , susbtitute x = x + h in the given expression as;

f(x+h) = (x+h)² - 8(x+h) + 3

f(x+h) = (x² + h² + 2xh) -8x - 8h + 3

f(x+h) = x² + h² + 2xh - 8x - 8h + 3

Now substitute the value of f(x+h) in the expression as;

Answer : 2x + h - 8

.........

Answer:

2

Step-by-step explanation:

Seq. nth term, sum

The nth term of a sequence is n^2+ a

The 6th term of the sequence is 29

Find the sum of the first 4 terms

We are given that the nth term of the sequence is n^2 + a.

To find the value of 'a', we can use the fact that the 6th term of the sequence is 29.

Substituting n = 6 in the expression for the nth term, we get:

6^2 + a = 29

Simplifying this equation, we get:

a = 29 - 6^2

a = -7

So, the expression for the nth term of the sequence is:

n^2 - 7

Now, we need to find the sum of the first 4 terms of the sequence.

The first term of the sequence is given by substituting n = 1 in the expression for the nth term:

1^2 - 7 = -6

The second term of the sequence is given by substituting n = 2:

2^2 - 7 = -3

The third term of the sequence is given by substituting n = 3:

3^2 - 7 = 2

The fourth term of the sequence is given by substituting n = 4:

4^2 - 7 = 9

Therefore, the sum of the first 4 terms of the sequence is:

-6 + (-3) + 2 + 9 = 2

Answer:

x=2

Step-by-step explanation:

\(2^{3x+1}+52=180^o\)

\(2^{3x+1}+52-52=180-52\)

\(2^{3x+1}=128\)

\(3x+1=7\)

\(x=2\)

Answer:

25%

Step-by-step explanation:

see there's four numbers and imagine 1/4th of 100 so it's 25%

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

Answer:

\(19\text{ and }71\)

Step-by-step explanation:

Let the smaller number be \(x\). The larger number can be represented by \(3x+14\)

Solving, we get:

\(x+3x+14=90,\\4x+14=90,\\4x=76,\\x=\boxed{19}\)

The larger number is therefore \(90-19=\boxed{71}\)

Answer:

To find 6 rational numbers between 9 and 10 are

9x7\1x7 10x7\1x7

63\7 70\7

so, 6 rational numbers are:

64\7,65\7,66\7,67\7,68\7and 69\7

The rational numbers that are between 9 and 10 are:

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

There are infinite numbers between 9 and 10.

Rational numbers are recurring and terminating numbers.

Numbers that are rational between 9 and 10 are:

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9

Thus,

The rational numbers between 9 and 10 are

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9

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