Y= 1/2x+5
2x + 3y = -6
Solution:

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

Step-by-step explanation:

SSA

The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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Answer:

{-14, 4}

Step-by-step explanation:

the absolute value function only makes sure that the result always has a positive sign.

so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.

so,

x + 5 = 9

x = 4

and

x + 5 = -9

x = -14

that gives us the correct set of solutions as indicated above.

If a store owner wants to develop a new snack mix by mixing chocolate and trail mix, then the number of pounds of chocolate costing $20.10 per pound that should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound is equal to 11.99.

The pounds of chocolate needed to create a mixture worth $8.41 per pound can be calculated using an algebraic expression.

An algebraic expression can be defined as an expression consisting of both numbers and letters.

If x = the unknown pounds of chocolate

An algebraic expression can be given as,

20.10x + 2.80(25) = 8.41(x + 25)

Solving for x,

20.10x + 70 = 8.41x + 210.25

Rearranging,

20.10x - 8.41x = 210.25 - 70

11.69x = 140.25

x = 140.25 ÷ 11.69

x = 11.99

Hence, 11.99 pounds of chocolate costing $20.10 per pound should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound.

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The growth of yeast cultures in a medium typically exhibits logarithmic growth.

In logarithmic growth, the population size increases exponentially over time, meaning that the growth rate is proportional to the current population size.

This results in a characteristic J-shaped curve when the population size is plotted against time.

During the early stages of yeast culture growth, there is a lag phase where the population adjusts to the new environment and begins to adapt and reproduce.

Following this phase, yeast cells enter the exponential or logarithmic growth phase, where the population size increases rapidly.

The growth rate is high during this phase as each yeast cell divides and produces new cells, leading to a doubling of the population within a specific time frame.

Logarithmic growth eventually reaches a stationary phase, where the growth rate slows down, and the population stabilizes.

This occurs when the available nutrients in the medium start to become limited or when waste products accumulate, creating an unfavorable environment for further growth.

Therefore, the growth of yeast cultures in a medium shows logarithmic growth.

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Answer:

Tn = 37n

Step-by-step explanation:

Given the arithmetic sequence 37,74,111,148,...3

The explicit formula for the arithmetic sequence is expressed as;

Tn = a + (n-1)d

a is the first term = 37

n is the number of terms

d is the common difference

d = 74 - 37 = 111 - 74  = 37

Substitute the given values into the formula

Tn = 37 + (n-1)*37

Tn = 37 + 37n - 37

Tn = 37n

Hence the required explicit formula is Tn = 37n

Answer:

x= 52

y= 25

z= 90

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Answer:

The coordinate of image triangle is M(-6,-2),N(-1,7) and P(3,4)

Step-by-step explanation:

The GCD of m=252 and n=15732 can be expressed as 12 = 1(252) - 20(15732) in terms of a Z-linear combination.

To find the greatest common divisor (GCD) of n=15732 and m=252 using the Euclidean Algorithm, we perform the following calculations:
Step 1: Divide n by m and find the remainder:
15732 ÷ 252 = 62 remainder 12
Step 2: Set n = m and m = remainder from step 1:
n = 252, m = 12
Step 3: Repeat steps 1 and 2 until the remainder is 0:
252 ÷ 12 = 21 remainder 0
Since we have obtained a remainder of 0, we can stop the algorithm.
The GCD of n=15732 and m=252 is the last non-zero remainder, which is 12.
To express the GCD as a Z-linear combination of m and n, we can work backwards using the quotients obtained in the Euclidean Algorithm.
Step 1: Starting with the last non-zero remainder, which is 12, we express it as a linear combination of m and n:
12 = 1(252) - 20(15732)
Therefore, the GCD of m=252 and n=15732 can be expressed as 12 = 1(252) - 20(15732) in terms of a Z-linear combination.

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The conditions for normality have been met for the sampling distribution of the difference in sample means of two populations of coins (pennies and quarters) where a random sample of 25 pennies was selected, and the mean age of the sample was 32 years, and a random sample of 35 quarters was taken, and the mean age of the sample was 19 years.

For each of the samples, the sample size is sufficiently large (n1 = 25, and n2 = 35), and we have no information about the population distribution. We can use the Central Limit Theorem to conclude that the sampling distribution of the difference in sample means is approximately normal.

Population standard deviation is known or the sample size is sufficiently large: We do not know the population standard deviation of the two populations. Therefore, we must ensure that the sample size of each group is large enough to justify using the Central Limit Theorem.

Both the sample sizes (25 and 35) are greater than 30. Therefore, the sample size is sufficiently large, and we can use the Central Limit Theorem to assume that the sampling distribution of the difference in sample means is approximately normal.

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The answer is 3 1/3 feet

Solution :

Total length of material : 13 1/3 feet

Number of sections needed : 4

so the length of new sections = Total length ÷ No. of section

                                                  = 13 1/3 ÷ 4

             13 1/3 = 40/3

so,         40/3 ÷ 6

that is    40/3 × 1/6

            = 40/12

            = 3.33 or  3 1/3

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The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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Function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know, when x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

a) y=6x

The above function is a linear function

b) y=3/x

or

xy = 3

The above function shows an inverse variation.

c) y=1/3x

or

y = (1/3)x

The above function is a linear function

d) y= -.07x

The above function is a linear function

e) y= 2/x+4

or

y = (2+4x)/x

xy = 2 + 4x

The above function shows an inverse variation.

f) xy=-3

The above function shows an inverse variation.

Thus, function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

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Answer:

The second one (4+3x = 9)

Step-by-step explanation:

From the working we can already tell that the second one is the odd one out without even doing the 4th one

Answer:

Step-by-step explanation:

do you know the answer?

Answer:

14.13

Step-by-step explanation:

Step 1) Find the total area

A = pi x r^2

A = pi x 3^2

A = 9pi

Step 2) Divide the total area by 4

9pi / 4 = 2.25pi

2.25pi = 7.07

A = 7.07 square feet

Hope this helps! :)

Answer:

2:5

Step-by-step explanation:

a/2=b/5

a=b/5 × 2

a/b=2/5

a:b=2:5

Answer:

1m

The greatest common factor is one. They also have an ‘m’ in common

Hope this helps

Answer:

26/24

Step-by-step explanation:

you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24

Answer: C

Step-by-step explanation:

The vector parametric equation for the line through the point (-4, 3) that is perpendicular to the line (t - 2, 2 + 5t) is L(t) = (-4, 3) + t(5, -1).

To find a line that is perpendicular to the given line, we need a direction vector that is perpendicular to the direction vector of the given line. The given line has a direction vector (1, 5). To obtain a perpendicular direction vector, we can take the negative reciprocal of the slope, resulting in (-5, 1).

Next, we need a point on the line. We are given the point (-4, 3).

Using these values, we can write the vector parametric equation as L(t) = (-4, 3) + t(-5, 1). This equation represents a line passing through (-4, 3) with a direction vector perpendicular to the given line.

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To measure the circumference of a tire, you can use the formula C = 2πr, where r is the radius of the tire. You can measure the radius of each tire using any suitable vehicle, such as cars, bikes, scooters, tractors, or dirt-bikes. Once you have obtained the radius for each tire, you can calculate the circumference using the given formula.

For each tire, fill out the table by inserting the measured radius in the "Radius of Tire" column. Then, apply the formula C = 2πr to calculate the circumference for each tire. Keep in mind that π is a mathematical constant approximately equal to 3.1415926, and you can use this value in your calculations.

Record the calculated circumference in the "Circumference of Tire" column of the table. Make sure to provide the measurements in the appropriate units, such as feet or meters, to maintain consistency.

By following these steps and completing the table for Tire #1, Tire #2, and Tire #3, you will have measured and recorded the respective circumferences for each tire using the given formula and the measured radius.

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Answer:

17 feet

Step-by-step explanation:

We have to use the pythagorean theorem, this is actually a bit more complicated than it seems at a first glance.

If Tony is 8 feet to Lexi's right, then we can form a triangle as such

I can't paste it (sorry)

but we can use the formula a^2+b^2=c^2, so 15^2=225, and 8^2=64, and 225+64=289, and \(\sqrt289=17\)

so they're 17 feet apart!

Using the tables to answer the question, the correct option is D.

Only table B represents a function

A relation/table will represent a function if each value of x is attached to a unique value of y.

That is, no value of x must be mapped to more than one value of y.

By considering the tables represented

Set A = {(-5, 2), (-8, 5), (-5, 8)}

As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.

Set B = {(-5, 2), (-8, 5), (-11, 2)}

As shown above, all values of x have different values of y. Therefore, table B represents a function.

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Given that δijk, j = 420 inches, k = 550 inches and ∠i=27°. We need to find the area of δijk, to the nearest square inch. To find the area of δijk, we need to use the formula for the area of a triangle which is given as: A = (1/2) × b × h Where b is the base and h is the height of the triangle.

So, first we need to find the length of the base b of the triangle δijk.In Δijk, we have: j = 420 inches k = 550 inches and ∠i = 27°We know that: tan ∠i = opposite side / adjacent side= ij / j⇒ ij = j × tan ∠iij = 420 × tan 27°≈ 205.45 inches Now we can find the area of the triangle using the formula for the area of a triangle. A = (1/2) × b × h Where h = ij = 205.45 inches and b = k = 550 inches∴ A = (1/2) × b × h= (1/2) × 550 × 205.45= 56372.5≈ 56373 sq inches Hence, the area of the triangle δijk is approximately equal to 56373 square inches.

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Question :

(-2+1)exponent2+5(12/3)-9=

Answer:

The answer is : 12 po