The distance from Ian's home to the museum is 2,640 yards.Is it reasonable to say that Ian's home is more than 9,000 feet away from the museum?

Answer:

irrational

are the numbers like 7.55782902..where the numbers aren't repeated

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

\(When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\\)

so,  

\(Point \ A(-8,-3)\)

\(When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\\)

so,  

\(Point \ B(-4,-1)\)

\(When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\\)

so,  

\(Point \ C(0,1)\)

\(When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\\)

so,  

\(Point \ D(2,2)\)

\(When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\\)

so,

\(Point \ E(6,4)\)

Answer:

If each of the dimensions was enlarged by 3 units then the new length would be 5 and the new width would be 6. To find the area of the triangle we use the formula: A = L x W ÷ 2.


6 x 5 = 30ft2
30 ÷ 2 = 15ft2


Therefore the new area of the triangle would be 15ft2.

Step-by-step explanation:

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Answer:

$45

Step-by-step explanation:

3/4×60= 45

cost of jacket in sale: $45

hope it helps!

Answer:

The given function is an Absolute value function because its expression is contained within the absolute value symbol.

Explanation:

Given the function;

Recall that Absolute value functions are functions that contains it algebraic expression within the absolute value symbol.

Such as;

Therefore, the given function is an Absolute value function because its expression is contained within the absolute value symbol.

Answer:

50%

Step-by-step explanation:

Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.

Answer: 50%

Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.

Rounding to the nearest tenth, the area of the triangular windowpane is approximately 8.2 square feet.

To find the area of a triangular windowpane, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x Base x Height

In this case, the base is 4 feet 8 inches and the height is 3 feet 6 inches. However, we need to convert these measurements to the same units before we can calculate the area. Since there are 12 inches in 1 foot, we can convert the measurements as follows:

Base = 4 feet + 8 inches/12 = 4.67 feet

Height = 3 feet + 6 inches/12 = 3.5 feet

Now we can plug in these values into the formula and calculate the area:

Area = (1/2) x 4.67 feet x 3.5 feet

Area = 8.1675 square feet

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All of the points from Table B and Table D shows a proportional relationship and they have been plotted in the graph shown in the image attached below.

The constant of proportionality for the Math test raw score is equal to 6.

A statement which best describes a graph of paired points that form a proportional relationship is: D. a straight line can be drawn through all the points, and the line passes through the point where x = 0 and y = 0.

The constant of proportionality for Fred's wages is equal to 13.8.

In Mathematics, the graph of any proportional relationship is represented by a straight line with the data points passing through the origin (0, 0) and it can be modeled by the following linear equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points contained in table D as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 1/2 = 3/6 = 4/8 = 2/10

Constant of proportionality, k = 1/2 or 0.5.

Therefore, a linear equation for this proportional relationship can be correctly written and plotted using an online graphing calculator as follows:

y = kx

y = 0.5x

For the Math test raw score, we have:

Constant of proportionality, k = y/x

Constant of proportionality, k = 30/5

Constant of proportionality, k = 6

For Fred's wages, we have:

Constant of proportionality, k = y/x

Constant of proportionality, k = 27.6/2

Constant of proportionality, k = 13.8.

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The common difference of the associated arithmetic Sequence is 16.

The common difference represents the fixed difference between each successive values in an arithmetic Sequence.

common difference= 22-6 = 16

Therefore, the common difference is 16

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Answer:

So, the prime factorization of 828 can be written as 2^2 × 3^2 × 23 where 2, 3, and 23 are prime.

Step-by-step explanation:

828 / 2 = 414

414 / 3 = 138

138 / 2 = 69

69 / 23 = 3

3 / 3 = 1

Answer:

tan A = ± 1/√3 or ± 0.58

Step-by-step explanation:

2 ways to solve this question.

1. cos 2A = 1/2       2A = 60° or 300° or 420° or ....

   A = 30° or 150° or 210° ....

  tan A = tan 30° or tan 150° or ... = ± 1/√3

2. cos 2A = 2 cos²A - 1        1/2 = 2 cos²A - 1     cos²A = 3/4

   cos 2A = 1 - 2 sin²A         1/2 = 1 - 2 sin²A       sin²A = 1/4

   tan²A = sin²a/cos²A = (1/4) / (3/4) = 1/3

   tan A = ± 1/√3 or ± 0.58

The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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Answer:

  22

Step-by-step explanation:

Let x represent the smaller integer. Then x+1 is the larger. Their sum is ...

  x +(x+1) = 45

  2x = 44 . . . . . subtract 1

  x = 22 . . . . . divide by 2

The smaller of the two integers is 22.

Mathematical functions like the logarithm are utilized to solve exponentiation-based equations.

The exponent to which the base must be raised in order to achieve a particular number is determined by the logarithm of that number to that base.

We can utilize logarithmic principles to simplify the equation logs(x+6) - logs(x) = logs(58) for x.

We may rewrite the equation as log((x+6)/x) = log(58) by using the fact that log(a) - log(b) = log(a/b).

Since the logarithm function is one-to-one, the statement (x+6)/x = 58 is implied by the expression log((x+6)/x) = log(58)).

Now that x is known, we may find it by cross-multiplying: (x+6) = 58x.

The expanded equation is x + 6 = 58x.

We now obtain the equation: 58x - x = 6.

Combining like terms, we get:57x = 6.

Dividing both sides by 57, we find:

x = 6/57. Therefore, the solution to the equation is

x = 6/57, which can also be written as

x = 2/19 in reduced fraction form.

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Answer:

 x +   y = 29

5x + 2y = 100

Step-by-step explanation:

Has 29 problems

then

x + y = 29

x be the number of worth 5 points questions:

5x

y be the number of worth 2 points questions

2y

the total both worth is 100 points

then:

5x + 2y = 100

Answer:

x + y = 29          5x + 2y = 100

Answer:

answer in picture

Step-by-step explanation:

Answer:

Angles 1 & 2 are adjacent

Step-by-step explanation:

Answer:

b) P(mean weight > 176) = 1 - P(mean weight ≤ 176) = 1 - 0.9332 = 0.0668

c) P(mean weight > 176) = 1 - P(mean weight ≤ 176) = 1 - 0.9997 = 0.0003

Answer:

The fence must have:

220 meters

Step-by-step explanation:

The perimeter of the field is equal to the long of the fence round the field.

then:

perimeter = 2(long + wide)

perimeter = 2(85 + 25)

perimeter = 2*110

perimeter = 220m

The correct solution to the differential equation 4y+y′′=0 is y=5cos⁡(2x).

To solve this differential equation, we can first write it in the form y′′=-4y. Then, we can use the characteristic equation r^2+4=0 to find the roots of the equation. The roots are r=±2i. Since the roots are imaginary, we know that the general solution to the differential equation will be in the form y=c1cos(2x)+c2sin(2x).

Now, we can compare the given solutions to the general solution to see which one is correct. The first solution, y=3sin(2x), does not have a cosine term, so it is not a solution. The second solution, y=5cos⁡(2x), matches the general solution with c1=5 and c2=0, so it is a solution. The third solution, y=e2x, does not have either a cosine or sine term, so it is not a solution.

Therefore, the correct solution is y=5cos⁡(2x).

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In this case, the standard deviation is 3.7, so the variance is 3.7², or 13.69. This means that the data points in the data set are, on average, 13.69 units away from the mean.

The variance of a data set is a measure of how the data points are distributed around the mean. It is calculated by squaring the standard deviation, which is the average distance of the data points from the mean.

Variance is a useful measure for quantifying the spread and variability of the data points in a data set. By knowing the variance, it is possible to make predictions about how likely it is that a given data point will fall within a certain range from the mean.

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The mean waiting time for 40 patients is 44.10 minutes. The median waiting time is 43.5 minutes. The mode waiting time is 42 minutes.

The mean waiting time for these 40 patients is calculated by adding up all the waiting times and dividing by the number of patients, which gives:

(mean) = (46+49+40+44+45+45+38+51+45+42+46+41+41+48+42+49+49+40+43+42+41+43+42+41+55+43+42+40+42+40+49+43+44+45+61+37+49+40+42+43+43+42+41+41+55+43+42+40+42+40+49+43+44+45+61+37+43+40+37+39)/40 = 44.10

Therefore, the mean waiting time is 44.10 minutes.

To find the median waiting time, we first need to order the waiting times from lowest to highest:

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

We can see that there are 40 waiting times in this sample, which is an even number. The median is the average of the two middle values, which are 43 and 44. Therefore, the median waiting time is:

(median) = (43+44)/2 = 43.5

The median waiting time is 43.5 minutes.

The mode is the most common value in the data set. In this case, we can see that the waiting time of 42 minutes appears most frequently in the data set, occurring 6 times. Therefore, the mode waiting time is:

(mode) = 42

The mode waiting time is 42 minutes.

The first quartile (Q1) is the value below which 25% of the waiting times fall, and the third quartile (Q3) is the value below which 75% of the waiting times fall. To find these values, we first need to order the waiting times from lowest to highest (as we did in part b):

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

There are 40 waiting times in the data set, so to find the first quartile, we need to find the value below which 25% of the waiting times fall. This means we need to find the waiting time that is at the 25th percentile. We can do this by finding the index of the waiting time that is at the 25th percentile:

25th percentile = (25/100) * 40 = 10

This means that the waiting time at the 10th index in the ordered list is the value at the first quartile. In this case, the waiting time at the 10th index is 41 minutes.

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____ The given question is incorrect, the complete question is given below:

There is a severe shortage of critical care doctors and nurses to provide intensive care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive care units (eICUS) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as Australia - can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these elcus is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of 40 patient waiting times until their first video interaction with the eſcu staff. Click on the datafile logo to reference the data. DATA fill Wait Time (minutes) 46 49 40 44 45 45 38 51 45 42 46 41 41 48 42 49 49 40 43 42 41 43 42 41 55 43 42 40 42 40 49 43 44 45 61 37 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 43 40 37 39 a. Compute the mean waiting time for these 40 patients (to 2 decimals). minutes b. Compute the median waiting time (to 2 decimals). minutes c. Compute the mode (to 2 decimal). minutes d. Compute the first and third quartiles (to 2 decimals). minutes First Quartile: Third Quartile: minutes.

Answer:

Hey Sweetheart!

z=4

4x4x4= 64

Hope this Helps!!!

Answer:

The rate of growth or decay

Explanation:

If b was above 1 (i.e. 1.01, 1.02) then it is an exponential growth function and if b was below 1, then it is an exponential decay function

according to mathematics rules your question is totally wrong

By using the concept of Permutation and Combination, Counting Principle  Phyllis can make 168 ways to select students.

Permutation and Combination are about making arrangements and making selections on the basis of certain formulas

The re-arranging of any given sorted/ordered set is called a permutation. The “permutation” word actually tells us that change the linear order of the ordered set.

Selecting items from a large collection without taking any care about their order is called combinations.

We need to select one freshman out of 12 freshmen. So selecting r things from n things we can do selection in nr ways, so we can do a selection of freshmen in 12c1 ways

Similarly, we need to select one sophomore out of 14 sophomores, so we can do a selection of sophomores in 14c1 ways

We know that ncr is equivalent to \(\frac{n!}{r!(n-r)!}\)

So, using this concept total number of ways to select a student

= ((12c1)×(14c1))

=12×14

=168 ways

Hence Phyllis can select students in 168 ways

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Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

The probability that the card drawn is a face card is 3/13.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are 3 face cards.

Number of jack = 4

Number of queen = 4

Number of king = 4

Total number of cards = 52

The probability that the card drawn is Jack.

= 4/52

The probability that the card drawn is Queen.

= 4/52

The probability that the card drawn is King.

= 4/52

The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52

= 3 x 4/52

=  3 x 1/13

= 3/13

Thus,

The probability that the card drawn is a face card is 3/13.

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Answer:

B

Step-by-step explanation:

Answer:

m∠SPQ = (9x + 7)°

Step-by-step explanation:

In the given rhombus PQRS,

m∠SPQ = m∠SPR + m∠QPR

By substituting the given values,

m∠SPQ = (4x + 11)° + (5x - 4)°

             = (4x + 5x) + (11 - 4)

             = 9x + 7

Therefore, m∠SPQ = (9x + 7)° will be the answer.

the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

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