Find the value when x = 2 and y = 3. (2x 5y ) 0.

Answer: A =350 (1.05)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form; 5/100=0.05)

t= years

A = population after t years

Replacing with the values given:

A = 350 (1+0.05)^t

A =350 (1.05)^t

Feel free to ask for more if needed or if you did not understand something.

There are 50 sections on sidewalk of length 40 meter with each section of length 0.8 meter..

Firstly converting the units. We will do it in such a way that we get the length of each section of sidewalk in meters. So, as the 1 decimeter is 0.1 meter. Thus, 8 decimeter will be 0.8 meter

Now, the formula to be used for calculation of number of sections = total length of sidewalk ÷ length of each section

Keep the values

Number of sections = 40/0.8

Performing division on Right Hand Side of the equation

Number of sections = 50

Thus, there are 50 sections.

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complete question:

A sidewalk is 40 meters long. Each section of sidewalk is 8 decimeter long . How many sections of sidewalk are there?

Answer:

13,160

Step-by-step explanation:

\(si \: = \frac{pnr}{100} \)

P = principle amount

n = no.of years

r = rate(%)

\( = \frac{5600 \times 45 \times 3}{100} \)

= 56 × 45× 3

= 7560

The final answer is 5600 + 7560 = 13160

pls like and mark as brainliest if it helped!

Answer:

Step-by-step explanation:

The formula of a midpoint of the segment AB:

\(M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)\)

We have A(7, -2) and B(1, -10). Substitute:

\(M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)\)

Work Shown:

-7/2 = -3.5

The two given points are (-2,-3.5) and (4,-4)

Let's use the slope formula.

\((x_1,y_1) = (-2,-3.5) \text{ and } (x_2,y_2) = (4,-4)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-4 - (-3.5)}{4 - (-2)}\\\\m = \frac{-4 + 3.5}{4 + 2}\\\\m = \frac{-0.5}{6}\\\\m = \frac{-1/2}{6}\\\\m = \frac{-1/2}{6/1}\\\\m = \frac{-1}{2}\div\frac{6}{1}\\\\m = \frac{-1}{2}*\frac{1}{6}\\\\m = -\frac{1}{12}\)

The slope is -1/12

It means "go down 1 unit, then go to the right 12 units".

You can use a tool like GeoGebra to confirm the answer is correct.

Answer:

115

Step-by-step explanation:

5280 feet/mile

607200/5280=115

:>

Answer: 115 mph

Convert ft to miles

The problem with Rodell's method for collecting data is that it may result in a biased sample.

Rodell is only polling the students on his football and basketball teams, which means the sample he collects is not representative of the entire student population at his school.

The favorite gaming app among the students on his teams may not be the same as the favorite gaming app among the broader student population.

To obtain a more accurate representation of the students' preferences, Rodell should aim for a random sample that includes students from various groups within the school, such as different grade levels or extracurricular activities.

This would help to minimize bias and ensure that the results reflect the overall preferences of the student body.

By solely relying on the football and basketball teams, Rodell's method limits the diversity of the sample, potentially leading to skewed results and an inaccurate conclusion about the favorite gaming app among all students at the school.

Therefore, Rodell's data collection method is flawed because it could lead to a biased sample, as it only includes students from his football and basketball teams.

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The average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

We have,

Frequencies:

a = 0.15 = 15,

b = 0.25 = 25,

c = 0.20 = 20,

d = 0.35 = 35,

e = 0.05 = 5,

So,

Now,

According to the question,

We will make Huffman tree,

i.e.

a = 0.15 = 15,

b + c = 25 + 20 = 45

d + e = 35 + 5 = 40,

Now,

a + b + c + d + e = 100

So,

a = 11 = 2 digits

b = 101 = 3 digits

c= 100 = 3 digits

d= 01 = 2 digits

e= 00 = 2 digits

And,

We know that,

Total bits required to represent Huffman code = 12.

So,

Now,

The average code length = a * 2 digits + b * 3 digits + c * 3 digits + d * 2 digits + e * 2 digits

i.e.

The average code length = 15 × 2 + 25 × 3 + 20 × 3 + 35 × 2 + 5 × 2

On solving we get,

The average code length = 245

Hence we can say that the average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

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Answer:

58

Step-by-step explanation:

For every triangle, all angles add up to 180. So you have to subtract 64 from 180 which gives you 116. You then take that number and divide it by two because there are two base angles, which gives you 58. The answer is 58.

The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.

a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.

(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.

The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.

(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.

The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.

In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.

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Answer:

171

Step-by-step explanation:

Range without outlier = 85 maximum - 38 minimum = 47

Range with outlier = 256-38 = 218

increase = 218-47 = 171

The answer to if {an} and {bn} are divergent, then {an + bn} is divergent is b is False.

This statement is not always true. While it may be true in some cases, there are instances where both {an} and {bn} can be divergent, but their sum {an + bn} converges.

For example, let an = n and bn = -n.

Both {an} and {bn} are divergent, as n and -n go to infinity and negative infinity, respectively. However, when you add them together, {an + bn} becomes {n + (-n)}, which simplifies to {0} for all values of n. In this case, {an + bn} converges to 0.

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Answer:

Yes

Step-by-step explanation:

Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.

For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.

Hopefully that's helpful! :)

Answer:

the opposite of a positive number is always negative

Answer:

\(\frac{y}{7} -2\)

Step-by-step explanation:

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

~ ren ⚘

Answer:  well, y - 7 divided by 3 + 6 = y + 11/3 Step-by-step ... from the following series of steps:

Step-by-step explanation:

Start with y , subtract 7, divide by 3, then add 6.

The correct options regarding the equations will be

10 D. x+4 is not a factor of x³-7x²-4x+28.

11 B. exponential.

12 B. Vertical stretch BAFO 5, Horizontal shift right 4.

13 The equation of the vertical asymptote of the reciprocal function g(x) = 5/(x+7) is x = -7.

10. In order to determine if a factor is not present in the given polynomial, we can use synthetic division or simply plug in the value of the factor and see if the result is zero.

D. x+4: Let's substitute x=-4, and we get (-4)³-7(-4)²-4(-4)+28 = -64-112+16+28 = -132 ≠ 0. Therefore, x+4 is not a factor.

Hence, the correct answer is D. x+4.

11. The inverse of a logarithmic function is an exponential function. Logarithmic functions and exponential functions are inverse operations of each other. When you take the inverse of a logarithmic function, you get an exponential function, and vice versa. Therefore, the correct answer is B. exponential.

12. In order to determine the transformations from the parent function f(x)=√x to g(x)=5√x+4, In g(x), we observe the following transformations compared to the parent function f(x)=√x:

Vertical stretch: The coefficient 5 in front of the square root function indicates a vertical stretch by a factor of 5. This means the graph will be vertically stretched.

Therefore, the correct answer is B. Vertical stretch BAFO 5, Horizontal shift right 4.

13. The equation of a vertical asymptote for a reciprocal function is obtained by setting the denominator equal to zero and solving for x.

In the given function g(x) = 5/(x+7), the denominator is (x+7). To find the vertical asymptote, we set (x+7) equal to zero:

x + 7 = 0

x = -7

Hence, the equation of the vertical asymptote for g(x) = 5/(x+7) is x = -7.

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The value of x in the triangle is 35 degrees, option A is correct.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let us find the interior angles

The sum of interior and exterior angle is 180

95+x=180

x=85

We know that the sum of three angles is 180 degrees by angle sum property

60+85+x=180

145+x=180

Subtract 145 from both sides

x=180-145

x=35 degree

Hence, the value of x in the triangle is 35 degrees, option A is correct.

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Answer:

The volume is 210 cm³

Step-by-step explanation:

The way to solve volume is LxWxH, so you would do 6x5x7 and you get 210.

Answer:

f=2

Step-by-step explanation:

First, you move the variables to the left side of the equation and change its sign.

After doing so, you  have 4f -5f =2.

Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.

Your equation looks like this now: -f = -2

Now remove the negative symbols due to their being one on both side.

f=2

Mark brainliest if possible please! Have a nice day.

The expected profit for the car wash is $97.50.

Probability is the possibility of the happening of an event. its is the ration of a particular event upon total number of events.

Formula used is given below;

profit = (loss*probability of loss) + (profit*probability of profit)

μx = (−30)(.15) + (120)(.85)

= −4.50 + 102

= 97.50

Therefore we can conclude that the expected profit for the car wash is $97.50.

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By the limit comparison test, we can conclude that the original series:

∑\((2n+1)^(3)/(n^(3)+1)^(2)\) also converges.

To determine whether the series ∑(\(2n+1)^(3)/(n^(3)+1)^(2\)) converges or diverges, we can use the limit comparison test. Let's define a new series:

\(b(n) = 1/(n^(3))\)

Now, let's calculate the limit as n approaches infinity of the ratio between the terms of the original series and the terms of the new series:

lim(n→∞) \([(2n+1)^(3)/(n^(3)+1)^(2)] / (1/(n^(3)))\)

To simplify the expression, we'll multiply the numerator and denominator by \((n^(3)+1)^(2):\)

lim(n→∞)\([(2n+1)^(3) * (n^(3)+1)^(2)] / (n^(3))\)

Expanding the numerator:

lim(n→∞) \([8n^(3) + 12n^(2) + 6n + 1] / (n^(3))\)

As n approaches infinity, the terms involving \(n^3\) become dominant, and other terms become negligible in comparison. We can ignore the terms with lower degrees of n:

lim(n→∞) \([8n^(3)] / (n^(3))\)

Simplifying further:

lim(n→∞) 8

Since the limit is a finite nonzero value (8), the original series and the new series b(n) have the same behavior. The series b(n) is a p-series with p = 3, which is known to converge. Therefore, by the limit comparison test, we can conclude that the original series:

∑\((2n+1)^(3)/(n^(3)+1)^(2)\) also converges.

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The Glasgow Coma Scale (GCS) is a neurological assessment tool used to measure a patient's level of consciousness after an injury or illness.

It consists of three components: eye opening, verbal response, and motor response. Each component is assigned a score ranging from 1 to 6, with a higher score indicating a better neurological status. The maximum score a patient can achieve is 15, with 5 being the minimum score for a patient to be considered conscious.

Regarding the highest numerical value assigned to eye opening, the answer is A. 6 points. Eye opening is one of the three components of the GCS, and it measures the patient's ability to open their eyes spontaneously, in response to verbal stimuli, or in response to painful stimuli.

A score of 6 is given when the patient opens their eyes spontaneously, which is the highest score for this component. A score of 5 is given when the patient opens their eyes in response to verbal stimuli, and a score of 4 is given when the patient opens their eyes in response to painful stimuli. Scores lower than 4 indicate a severe neurological impairment.

In summary, the highest numerical value assigned to eye opening when computing the GCS is 6 points, which is given when the patient opens their eyes spontaneously.

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The landlord will have a total of P 225,000 at the end of 5 years, considering the increase in rental by P 500 each year for three stores with an initial rental of P 7500 per year.

The commercial building rental in the city increases by P 500 each year. Initially, the store rental on the building was P 7500 per year, and there are three stores in the building. To calculate the total amount the landlord will have at the end of 5 years, we need to determine the cumulative increase in rental over the years.

The increase in rental per year is P 500, and the number of years is 5. Therefore, the cumulative increase in rental after 5 years for each store can be calculated as follows:

Total increase in rental per store = P 500 * 5 = P 2500

Since there are three stores in the building, the total increase in rental for all three stores after 5 years will be:

Total increase for all three stores = P 2500 * 3 = P 7500

The initial rental for each store is P 7500 per year, and the total increase in rental for all three stores after 5 years is P 7500. Therefore, the new rental for each store after 5 years will be:

New rental for each store = Initial rental + Total increase for all three stores

                           = P 7500 + P 7500

                           = P 15000

Now, to calculate the total amount the landlord will have at the end of 5 years, we need to multiply the new rental per store by the number of stores and the number of years:

Total amount for the landlord = New rental per store * Number of stores * Number of years

                            = P 15000 * 3 * 5

                            = P 225000

Therefore, at the end of 5 years, the landlord will have a total amount of P 225,000.

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The next logical number in the sequence is 6, 14, 30, ....   is 62.

In the given sequence, each number is obtained by adding the next odd integer and doubling the result. Let's analyze the pattern step by step:

Starting with 2:

Add the next odd integer, which is 3: 2 + 3 = 5

Double the result: 5 * 2 = 10

Starting with 5:

Add the next odd integer, which is 5: 5 + 5 = 10

Double the result: 10 * 2 = 20

Starting with 10:

Add the next odd integer, which is 7: 10 + 7 = 17

Double the result: 17 * 2 = 34

Starting with 17:

Add the next odd integer, which is 9: 17 + 9 = 26

Double the result: 26 * 2 = 52

Starting with 26:

Add the next odd integer, which is 11: 26 + 11 = 37

Double the result: 37 * 2 = 74

Starting with 37:

Add the next odd integer, which is 13: 37 + 13 = 50

Double the result: 50 * 2 = 100

Starting with 50:

Add the next odd integer, which is 15: 50 + 15 = 65

Double the result: 65 * 2 = 130

Therefore, the next number in the sequence is 62.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

Step-by-step explanation:

Simply it is 2/5.

This is because overall 5/5 is the amount of people at the tennis club.

3/5 of the people in the tennis club are women meaning:

5/5 - 3/5 = 2/5

So 2/5 of the people in the tennis club are men.

Answer:

Y=7.05

X= 11.6

Step-by-step explanation:

Equate both equations to zero

3x+5y=70--------equation 1

7x-3y=60---------equation 2

From the equation above

a1=3, b1=5, c1=-70

a2=7, b2= -3, c2=-60

By applying the cross multiplication method

x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1

x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)

x/-300-(-210)=y/-490-(-180)=1/-9(-35)

x/-510=y/-310=1/-44

x/-510=1/-44 , y/-310=1/-44

-44x=-510 , -44y= -310

x=11.6 , y=7.05

Thus, the value of x is 11.6 and the value of y is 7.05

The required answer is the limit of (-5)^∞ is not well-defined, that the limit Does Not Exist

To find the first five terms of the sequence, we simply substitute n=1,2,3,4,5 into the formula given:

a1=(1-6(1)+5)^1=-1
a2=(1-6(2)+5)^2=0
a3=(1-6(3)+5)^3=27
a4=(1-6(4)+5)^4=256
a5=(1-6(5)+5)^5=3125

To determine whether the sequence converges, we take the limit as n approaches infinity:

limn→[infinity](1−6n+5)n=limn→[infinity](−5n+6)n

We can apply L' Hopital's rule to evaluate this limit:

limn→[infinity](−5n+6)n=limn→[infinity](−5)(−5n+6)n−1=limn→[infinity]−5(−5+6n−2)(n−1)n−2

This limit evaluates to -5, which is a finite number, so the sequence converges.
 If such a limit exists, the sequence is called convergent.A sequence that does not converge is said to be divergent. The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests

To find the limit of the sequence, we simply take the limit of the formula for an as n approaches infinity:

limn→[infinity](1−6n+5)n=limn→[infinity](−5n+6)n=(-5)^∞

The limit of (-5)^∞ is not well-defined, so we say that the limit Does Not Exist (DNE).
To find the first five terms of the sequence an = (1 - 6n + 5)n, we'll plug in the values n = 1, 2, 3, 4, and 5.

a1 = (1 - 6(1) + 5)(1) = (0)(1) = 0
a2 = (1 - 6(2) + 5)(2) = (-1)(2) = -2
a3 = (1 - 6(3) + 5)(3) = (-2)(3) = -6
a4 = (1 - 6(4) + 5)(4) = (-3)(4) = -12
a5 = (1 - 6(5) + 5)(5) = (-4)(5) = -20

Now, let's examine the limit as n approaches infinity:

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position. The notion of a sequence can be generalized to an indexed family, defined as a function from an arbitrary index set.

lim(n→∞)(1 - 6n + 5)n

Since the term (1 - 6n + 5) keeps getting smaller (more negative) as n increases, and the term n keeps getting larger, their product will continue to decrease without bound. Therefore, the limit does not exist.

Your answer:
a1 = 0
a2 = -2
a3 = -6
a4 = -12
a5 = -20
lim(n→∞)(1 - 6n + 5)n = DNE

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