please help
6. In an arithmetic sequence of 50 terms, the 17" term is 53 and the 28" term is 86. Determine the sum of the first 50 terms of the corresponding arithmetic series. 15

Isolate y

Compare to slope intercept form y=mx+b

Slope=m=5/3

Answer:

\(\dfrac{5}{3}\)

Step-by-step explanation:

To find the gradient (slope) of the given linear relation, use arithmetic operations to isolate y:

Given relation:

\(3y-5x=10\)

Add 5x to both sides:

\(\implies 3y-5x+5x=10+5x\)

\(\implies 3y=5x+10\)

Divide both sides by 3:

\(\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}\)

\(\implies y=\dfrac{5}{3}x+\dfrac{10}{3}\)

Slope-intercept form of a linear equation

\(y = mx+b\)

where:

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

20%

Step-by-step explanation:

The percentage score for 3 out of 15 is 20.00%.

Answer:

The transformation of an organism throughout life :)

Step-by-step explanation:

This can be seen through the life of frogs, butterflies, moths, and more!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

1/5 and 9/4

Step-by-step explanation:

Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].

We have the following numbers -

5 and 4/9

We can write -

x = 5

y = 4/9

So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.

The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.

Therefore -

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-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions. Option c is correct.

An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance . (You can test this with any value of x and find that they all work!)

So to find the equations that have infinite solutions, we need to see which have the same exact sides.

(Choice A)

-6x+35 = -6x-35 have the different thing on each side: , so this has no solution.

(Choice B)

6x+35  = -6x-35 does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1).

(Choice C)

-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.

(Choice D)

6x+35=-6x+35 And finally,  has the different thing on each side: , so it has one solution.

Hence , -6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.

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The value of Expression √x + 1/√x=(4√5+2√2)/3.

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x2+x-12 is an illustration of a polynomial with a single variable.

There are three terms in this example: x2, x, and -12.

Given:

x=7+√40

=7+2√10

=5+2+2√10

=(√5)²+2.√5.√2+(√2)²

=(√5+√2)²

∴√x=√5+√2 (neglecting the negative sign)

1/√x=1/(√5+√2)

=(√5-√2)/(√5+√2)(√5-√2)

=(√5-√2)/(5-2)

=(√5-√2)/3

√x+1/√x

=(√5+√2)+(√5-√2)/3

=(3√5+3√2+√5-√2)/3

=(4√5+2√2)/3

=(4√5+2√2)/3

√x + 1/√x=(4√5+2√2)/3.

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Answer:

Step-by-step explanation:

1 answer. 10

2 answer. 8

The paper airplane swoops down before rising back up, the paper airplane will crash into the ground at x = 5 seconds.

To find when the paper airplane will crash into the ground, we need to find the time (x) when the height (h) is equal to zero.

So, we need to solve the equation:

\(x^2\) - 12x + 35 = 0

We can factor this equation to get:

(x - 5)(x - 7) = 0

Therefore, the paper airplane will crash into the ground at either x = 5 or x = 7 seconds.

To determine which time is correct, we need to analyze the function. The paper airplane swoops down at a single point to graze the ground before it rises back into the air, which means that the height of the plane will first decrease, reaching a minimum value, and then increase again. This function is a parabola that opens upwards, which means it has a minimum value. We can find the minimum value by finding the x-coordinate of the vertex of the parabola.

The vertex's x-coordinate is supplied by:

x = -b/2a

where a = 1, b = -12, and c = 35.

So, x = -(-12)/2(1) = 6.

Since the vertex occurs at x = 6, and the paper airplane swoops down before rising back up, the paper airplane will crash into the ground at      x = 5 seconds.

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Step-by-step explanation:

just apply the formula you can find immediately on the internet.

that is much faster than putting such a calculation question in here.

the area of a circle is

pi×r²

with r being the radius.

so, in our case we have

pi × 3² = pi × 9 = 28.27433388... ft²

when using 3.14 for pi we get 28.26 ft²

Answer:

a

b

b

:)

Step-by-step explanation:

hi brother i have got the answer hope its correct

Step-by-step explanation:

2/3 of 15

2*5(3*5=15)

10

Given:

Beau's grandmother started depositing $500 in a savings account each  year in his birthday

Rate of simple interest = 2.5%

Time = 3 years

To find:

The interest.

Solution:

Formula for simple interest:

\(I=\dfrac{P\times r\times t}{100}\)

where, P is principal, r is rate of interest and t is time in years.

Interest for first year is

\(I_1=\dfrac{500\times 2.5\times 1}{100}\)

\(I_1=12.5\)

New principal = \(500+500=1000\)

Interest for second year is

\(I_2=\dfrac{1000\times 2.5\times 1}{100}=12.5\)

\(I_2=25\)

New principal = \(1000+500=1500\)

Interest for third year is

\(I_3=\dfrac{1500\times 2.5\times 1}{100}=12.5\)

\(I_3=37.5\)

Total interest for 3 years is

\(I=I_1+I_2+I_3\)

\(I=12.5+25+37.5\)

\(I=75\)

So, interest after 3 years is $75.

Therefore, the correct options A.

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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The correct interpretation of the confidence interval is: "We can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes."

The confidence interval represents a range of values within which the

population mean delivery time is likely to fall, based on the sample data.

It does not provide information about the delivery times of individual pizzas

or restaurants.

The confidence level refers to the percentage of times that the true

population mean would be expected to fall within the interval if the same

sampling procedure were repeated many times.

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Answer: i dont know sorry

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

1. Positional Notation

2. Doubiling

3. An Online Converter

Step-by-step explanation:

Hey there!!!

We generally multiply using base 2 and keep power that starts from 0 and goes on increasing and add all them at last to convert binary to decimal.

For example:

011110

To convert into decimal follow the steps.

1st step: Multiply with base 2 and keep power from right side starting from 0.

\(0 \times {2}^{5} + 1 \times {2}^{4} + 1 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} \)

2nd step: solve powers and multiply with binary numbers.

This implies;

= 0 + 16 + 8 + 4 + 2 +0

= 30.... is your answer.

Hope it helps....

Answer:

3/500

Step-by-step explanation:

My advice to Ahmadi would be to approach their statistical analysis with care and to consider all aspects of their data and results, not just the significance level. By doing so, they can ensure that their findings are valid, reliable, and meaningful.

As the statistical consultant to Ahmadi, my advice would be to proceed with caution and carefully analyze their data before making any conclusions. The use of a significance level of .05 is a common practice in statistical analysis, but it should not be used as the sole criterion for decision-making.
To begin with, Ahmadi should ensure that their data is reliable and accurate. They should review their data collection methods and procedures to ensure that they are free from bias and error. They should also consider the sample size and make sure that it is large enough to provide a representative sample of their population.
Once they have established the validity of their data, Ahmadi should then conduct a thorough statistical analysis. They should choose appropriate statistical tests based on the nature of their data and research question. They should also be mindful of any assumptions that underlie their tests and make sure that those assumptions are met.
When interpreting their results, Ahmadi should not rely solely on the p-value or significance level. They should also consider the effect size, which provides a measure of the magnitude of the effect they are studying. They should also consider the practical significance of their results and whether they have any real-world implications.
Finally, Ahmadi should be transparent about their statistical methods and results. They should clearly report their methods and results in their publications and presentations so that others can evaluate and replicate their findings.
In summary, my advice to Ahmadi would be to approach their statistical analysis with care and to consider all aspects of their data and results, not just the significance level. By doing so, they can ensure that their findings are valid, reliable, and meaningful.

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Answer:4

Step-by-step explanation:

Answer:a) Given :

51 pounds of seed  can be planted in = 9 acre field.

Per pound of seed =

We can convert 9/51 in simplest fraction by dividing top and bottom by 3.

We get

Therefore, 3/17 of an acrs can be planted per pound of seed.

b) $10 amount = 16 pounds of sugar.

$1 amount = 16/10 = 1.6 pounds of sugar.

Therefore, 1.6 pounds of sugar she got per dollar.

Step-by-step explanation:

Answer: The constant of proportionality would be the answer “3”

Step-by-step explanation: The reason why it is 3 is because how ever many cups of flour you use is how ever many cookies you get. So every 3 cups of flour gets you 48 cookies. Depending on how many cups of flour is how many cookies you get that is why the constant of proportionality is “3”

Have a nice day!

Answer:

y = 5, y = -5

Step-by-step explanation:

In this question, you would have to solve the equation for "y".

Solve:

-3y² = -75

Divide both sides by -3.

y² = 25

Square root both sides to cancel out the exponent.

√y² = √25

y = ±√25

Simplify the square root for both positive and negative terms.

y = 5

y = -5

Your final answer would be y = 5 and y = -5

Answer:

we can use simple equation

Answer:

Step-by-step explanation:

First make an equation,

8x+500=11x+300

Then, with pemdas, cancel out 300 and 8x

200=3x

Divide both sides by 3

Answer is 66.6 reapeating or about 67 hours

The ratio of impressions to fans is a measure of fan acquisition.

Given is to find the ratio of impressions to fans.

The ratio of impressions to fans is a measure of fan acquisition. Social marketing campaigns begin with fan acquisition, which involves using any of a variety of means, from display ads to News Feed and page pop-ups, to attract people to your Web page.

Therefore, the ratio of impressions to fans is a measure of fan acquisition.

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We have d(x, z) ≤ d(x, y) + d(y, z) for all x, y, z ∈ X.Since (X, d) satisfies all the conditions of a metric space, we have shown that there exists a metric space whose nonzero distances constitute exactly the set A.

Given any set of positive real numbers A, we have to prove that there exists a metric space whose nonzero distances constitute exactly the set A.What is a Metric Space?A metric space is a set X, whose elements are called points, with a function called the distance function or metric (d: X×X → R) that defines the distance between any two points in X.

The distance function satisfies the following conditions: d(x, y) ≥ 0 for all x, y ∈ X, and d(x, y) = 0 if and only if x = y. For all x, y ∈ X, d(x, y) = d(y, x). For all x, y, z ∈ X, d(x, z) ≤ d(x, y) + d(y, z).Proof:Let A be any set of positive real numbers. We define the metric space (X, d) as follows: Let X be the set of all points in the plane whose coordinates are in A. That is,X = {(x, y) | x ∈ A and y ∈ A}.For any two points (x1, y1), (x2, y2) ∈ X, we define the distance between them asd((x1, y1), (x2, y2)) = √((x2 − x1)² + (y2 − y1)²).We need to prove that (X, d) is a metric space.

Let us first show that d(x, y) ≥ 0 for all x, y ∈ X:If x = y, then d(x, y) = 0, by definition. If x ≠ y, then d(x, y) is the distance between x and y in the plane, which is always positive. Therefore, d(x, y) ≥ 0 for all x, y ∈ X.Next, let us show that d(x, y) = 0 if and only if x = y:If x = y, then d(x, y) = 0, by definition. Conversely, if d(x, y) = 0, then (x − y)² = 0, which implies that x = y. Therefore, d(x, y) = 0 if and only if x = y.Let us now show that d(x, y) = d(y, x) for all x, y ∈ X:We have d(x, y) = √((y − x)²) = √((x − y)²) = d(y, x).Therefore, d(x, y) = d(y, x) for all x, y ∈ X.

Finally, let us show that d(x, z) ≤ d(x, y) + d(y, z) for all x, y, z ∈ X:Suppose (x1, y1), (x2, y2), and (x3, y3) are any three points in X. We need to show thatd((x1, y1), (x3, y3)) ≤ d((x1, y1), (x2, y2)) + d((x2, y2), (x3, y3)).By the triangle inequality, we have√((x3 − x1)² + (y3 − y1)²) ≤ √((x2 − x1)² + (y2 − y1)²) + √((x3 − x2)² + (y3 − y2)²).Squaring both sides of the inequality and simplifying, we obtain(x3 − x1)² + (y3 − y1)² ≤ (x2 − x1)² + (y2 − y1)² + (x3 − x2)² + (y3 − y2)².

This inequality holds for any three points in X, so it holds in particular for x, y, and z. Therefore, we have d(x, z) ≤ d(x, y) + d(y, z) for all x, y, z ∈ X.Since (X, d) satisfies all the conditions of a metric space, we have shown that there exists a metric space whose nonzero distances constitute exactly the set A.

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Answer:

Step-by-step explanation:

\(\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-2\cfrac{1}{2}\right)\)

We'll need to convert the mixed number 2 1/2 to improper fraction.

\(\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-\cfrac{5}{2}\right)\)

Simplify...

\(\sf 2x+\cfrac{1}{2}+8x-\cfrac{5}{2}\)

Add similar elements.

\(\sf 10x+\cfrac{1}{2}-\cfrac{5}{2}\)

\(\sf 10x+\cfrac{-4}{2}\)

Divide numbers..

\(\sf 10x-2\)

_______________________

The statement "When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication" is true because eliminating a loop-carried dependency that adds a constant simplifies the equation, but to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only

When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency adds a constant to the result of the previous iteration, which means that the current iteration's result is a function of both the current iteration's variables and the previous iteration's result.

By eliminating this dependency, we remove the need to use the previous iteration's result, which simplifies the equation. However, to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only, which often involves a multiplication. This is because multiplication is a fundamental mathematical operation that allows us to combine variables in a way that preserves their individual values.

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True. When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency is typically expressed as an addition, and removing it would result in a product of the loop index and the constant.

when eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the process often involves applying mathematical transformations that result in multiplications to simplify the loop and eliminate dependencies.

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