The side of a square is measured to be 16 ft with a possible error of ±0.1 ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your answer.

Given the algebraic expression,  \(2x^2y\), the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

Recall:

Given an expression, say, \(2x^2 + 4x + 5\).

Thus, we are given the expression, \(2x^2y\),

The expression has only 1 term: \(2x^2y\)

1 coefficient: 2

It has no constant.

Therefore, given the algebraic expression,  \(2x^2y\), the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

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Answer:

Domain: {3,5,6,9}

Range: {1,2,8}

Step-by-step explanation:

In a relation, the domain is the x-values while the range is the y-values. To find them simply list the values in order from least to greatest while not repeating any values. This relation would also not be considered a function because x-values repeat.

Answer:

Step-by-step explanation:

Finding final velocity.

\(\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity\)

a -> accelaration

t ---> time

\(v_{i} = 7 \ m/s\)

a = 2 m/s²

t = 5 s

\(v_{f}= 7 + 2*5\)

     = 7 + 10

     = 17 m/s

10) h = 5 m

g = -10m/s²

\(t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1\)

t = 1 sec

Answer:

130

Step-by-step explanation:

Answer:

If the video game that Ethan bought usually costs $39.99, and it was on sale for 20% off, then the discount on the game would be $39.99 x 20/100 = $8.00. To determine the final price of the game after the discount, we can subtract the discount from the original price of the game, which gives us:

Final price = $39.99 - $8.00 = $31.99

Therefore, Ethan paid $31.99 for the video game that was on sale. This can be rounded to the nearest cent to give us a final answer of:

Final price = $31.99 ≈ $32.00.

Therefore, Ethan paid $32.00 for the video game that was on sale.

Step-by-step explanation:

To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

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Answer:

$5.55

Step-by-step explanation:

calculator

Answer:

$42.55

Step-by-step explanation:

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Answer:

801.66

Step-by-step explanation:

calculator

Answer:

801.6632653061

Step-by-step explanation:

.......

The correct option using the plurality method is option (c).

The preference schedule given shows the result of an election among three candidates: Abe (A), Benny (B), and Chloe (C). The number of votes is given as 20, 195, and 150 respectively.

The preference schedule shows the first, second, and third preference votes, with A winning the first preference vote with 20 votes .A wins the first preference vote with 20 votes but has no majority and so will not be the winner using the plurality method.

The plurality method is a method used in voting systems to decide the outcome of an election, where the candidate with the most votes wins, regardless of the majority .If none of the candidates get more than 50% of the votes, there is no winner using the plurality method.

It is seen from the preference schedule that none of the candidates had more than 50% of the votes, hence no candidate wins using the plurality method. Hence, the answer is "No candidate wins using the plurality method."

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The probability of a high school baseball player getting at least 6 hits in one game, given a 0.253 batting average, when he gets 8 at-bats, is 0.0197 or approximately 2%.


Given, the high school baseball player's batting average is 0.253, which means in 100 times he hits the ball, he will make 25.3 hits on average. We need to find the probability of getting at least 6 hits in a game when he gets 8 at-bats.

We will calculate the probability using the Binomial Probability formula. Here, the number of trials is 8, and the probability of success is 0.253. We need to find the probability of getting at least 6 hits.

P(X≥6) = 1 - P(X<6)

P(X<6) = ∑P(X=i), i=0 to 5

We can use the Binomial Probability Table to find these probabilities or use the Binomial Probability formula.

P(X<6) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

= C(8,0) (0.253)^0 (1 - 0.253)^8 + C(8,1) (0.253)^1 (1 - 0.253)^7 + C(8,2) (0.253)^2 (1 - 0.253)^6 + C(8,3) (0.253)^3 (1 - 0.253)^5 + C(8,4) (0.253)^4 (1 - 0.253)^4 + C(8,5) (0.253)^5 (1 - 0.253)^3

≈ 0.9799

Therefore, P(X≥6) = 1 - 0.9799

= 0.0201 or approximately 2%.

Hence, approximately 0.0197 or 1.97% is the probability of a high school baseball player, who has a batting average of 0.253, obtaining at least 6 hits when given 8 at-bats during a single game.

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Answer:

All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.

Step-by-step explanation:

Answer:

51 53 57 59 61 69 71 73 these are the prime numbers

There is only one five-digit integer, 37000, that satisfies these conditions.

To determine the number of five-digit integers of the form 37abc that are divisible by 37, we need to consider the divisibility rule for 37. A number is divisible by 37 if and only if the difference between twice the units digit and the remaining part of the number is divisible by 37. In this case, since we have a five-digit integer of the form 37abc, we can write it as:

37abc = 37000 + 100a + 10b + c

Now, let's consider the three given numbers and analyze their divisibility by 37:

37abc:

For 37abc to be divisible by 37, we need the difference between twice the units digit (2c) and the remaining part (37ab) to be divisible by 37. Therefore, we have the congruence:

2c ≡ 37ab (mod 37)

Since 37 ≡ 0 (mod 37), we can simplify the congruence to:

2c ≡ 0 (mod 37)

This implies that c must be divisible by 37. Since c can take values from 0 to 9 (since it is a digit), we have only one possibility: c = 0.

37bca:

Similarly, for 37bca to be divisible by 37, we have the congruence:

2a ≡ 37bc (mod 37)

Again, simplifying the congruence using 37 ≡ 0 (mod 37), we get:

2a ≡ 0 (mod 37)

This implies that a must be divisible by 37. Since a can take values from 0 to 9, we have only one possibility: a = 0.

37cab:

For 37cab to be divisible by 37, we have the congruence:

2b ≡ 37ca (mod 37)

By using 37 ≡ 0 (mod 37), we can simplify the congruence to:

2b ≡ 0 (mod 37)

This implies that b must be divisible by 37. Again, b can take values from 0 to 9, giving us only one possibility: b = 0.

From the above analysis, we can conclude that the only five-digit integer of the form 37abc satisfying the given conditions is 37000. Therefore, there is only one such integer.

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Complete Question:

Determine the number of five-digit integer 37abc in base 10 such that each of the numbers 37abc,37bca,37cab Is divisible by 37

Step-by-step explanation:

Matrix has 5 rows and 3 columns.

So it's order is 5x3.

The probability that exactly one of the bridges will collapse in the next year in Dystopia county is 0.2988 (rounded to four decimal places).

To calculate the probability of exactly one bridge collapsing, we need to consider the probabilities of each bridge collapsing and not collapsing. Let E, Y, and A represent the events of the Elder, Younger, and Ancient bridges collapsing, respectively.

The probability of exactly one bridge collapsing can be found by considering three cases:

Only the Elder bridge collapses: P(E) * P(Y') * P(A') = 0.18 * (1 - 0.06) * (1 - 0.28) = 0.18 * 0.94 * 0.72.

Only the Younger bridge collapses: P(Y) * P(E') * P(A') = 0.06 * (1 - 0.18) * (1 - 0.28) = 0.06 * 0.82 * 0.72.

Only the Ancient bridge collapses: P(A) * P(E') * P(Y') = 0.28 * (1 - 0.18) * (1 - 0.06) = 0.28 * 0.82 * 0.94.

Summing up the probabilities from these three cases gives the total probability of exactly one bridge collapsing: 0.18 * 0.94 * 0.72 + 0.06 * 0.82 * 0.72 + 0.28 * 0.82 * 0.94 ≈ 0.2988.

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Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (-2,3) (2,5)

We see the y increase by 2 and the x increase by 4, so the slope is

m = 2/4 = 1/2

The y-intercept located at (0,4)

So, the equation is y = 1/2x + 4

Answer:

The answer is false it’s supposed to be 84

Step-by-step explanation:

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.

Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.

Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

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In response to the question, we may say that As a result, the circle circumference is roughly 113.04 yards.

A circle seems to be a two-dimensional component that is defined as the collection of all places in a jet that are equidistant from the hub. A circle is typically shown with a capital "O" for the centre and a lower portion "r" for the radius, which represents the distance from the origin to any point on the circle. The formula 2r gives the girth (the distance from the centre of the circle), where (pi) is a proportionality constant about equal to 3.14159. The formula r2 computes the circumference of a circle, which relates to the amount of space inside the circle.

The circumference of a circle is determined by the formula C = d, where d is the circle's diameter and is a mathematical constant equal to 3.14.

Because the diameter of the circle in this example is 36 yards, we can use the following calculation to calculate the circumference:

C = πd

3.14 x 36 = 113.04 yards C = 3.14 x 36 = 113.04 yards

As a result, the circle's circumference is roughly 113.04 yards.

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Answer:1) An operator is missing in your statement. Most likely the right expression is:

Step-by-step explanation:

              2x

f(x) = -------------

          3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: The graph approaches 0 as x approaches infinity.

Find the limit of the function as x approaches infinity:

                                   2x

Limit when x →∞ of ------------

                                3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                     2/∞             0          0

Replace x with ∞ =>  ------------ =  ------- =  ---- = 0

                                   3 - 3/∞        3 - 0      3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

Find the limit of the function as x approaches negative infinity:

                                       2x

Limit when x → - ∞ of ------------

                                    3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                       2/(-∞)           0            0

Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0

                                     3 - 3/(-∞)      3 - 0        3

Therefore, the statement is TRUE.

4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity.

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.

Answer:

Step-by-step explanation:

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Answer:

15x⁴

Step-by-step explanation:

Square root of 225 is 15.

Answer:

10

Step-by-step explanation:

count the full squares then add up the halfs and u get 10

Answer:

---------------------

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

18.75

Step-by-step explanation:

Answer:

18.75

Step-by-step explanation:

32/32

Answer:

D

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

y = - 4x² - 16x - 12 ← is in standard form

with a = - 4 and b = - 16 , thus

\(x_{vertex}\) = - \(\frac{-16}{-8}\) = - 2

Substitute x = - 2 into y for corresponding y- coordinate

y = - 4(- 2)² - 16(- 2) - 12 = - 16 + 32 - 12 = 4

vertex = (- 2, 4 ) → D

At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, the value of a margin of error of x is 1.534%.

In the given question, at a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, then we have to explain how should we interpret that.

The given confidence interval = 95%.

We can write it as CI = 0.95.

An approval rating is 55%.

We can write it as(p) = 0.55

A margin of error is x.

Let the value of sample size n = 1000.

So the margin of error;

ME = z× {p(1-p)}/√n

The value of z for confidence interval of 95% is 1.96.

Now putting the value

x = 1.96× {0.55(1-0.55)}/√1000

x = 1.96× {0.55×0.45}/31.623

x = 1.96× 0.2475/31.623

x = 1.96×0.00783

x = 0.01534

x = 1.534%

So the margin of error should be 1.534%.

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The right question is:

At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, how should you interpret that?

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.