How high above the water is the roadway in meters? Round to the nearest hundredth. (199 ft)

Answer:

C: EF = 4 Units

Step-by-step explanation:

The absolute value of inequality representing the range of John's weight is | x - 156 | ≤ 8.

An absolute value inequality is an inequality that contains an absolute value expression. The absolute value of a number represents the distance between that number and zero on a number line.

An absolute value expression is a mathematical expression that contains an absolute value function, denoted by vertical bars around a number or expression. The absolute value of a number is its distance from zero on a number line, so an absolute value expression represents a positive number, regardless of whether the original number was positive or negative.

As per the given question,

If John weighed 156 pounds give or take 8 pounds ten years ago, then his weight could have been anywhere from 156 - 8 = 148 pounds to 156 + 8 = 164 pounds.

To write this as an absolute value inequality, we can let x represent John's weight, and use the absolute value to represent the distance from the mean weight of 156 pounds. The inequality would be:

| x - 156 | ≤ 8

This inequality says that the distance between John's weight (x) and the mean weight of 156 pounds must be less than or equal to 8 pounds. In other words, John's weight must be within 8 pounds of 156, which represents the range of possible weights he could have had ten years ago.

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Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24

The matrix C = BA^T transforms each vj into uj.

Let A be the matrix that transforms the standard basis into u1, u2, ..., un. We know that A is an orthogonal matrix since u1, u2, ..., un is an orthonormal basis for Rn. Also, A^T is the matrix that transforms u1, u2, ..., un into the standard basis.

Similarly, let B be the matrix that transforms the standard basis into v1, v2, ..., vn. We know that B is an orthogonal matrix since v1, v2, ..., vn is an orthonormal basis for Rn. Also, B^T is the matrix that transforms v1, v2, ..., vn into the standard basis.

We want to construct the matrix C that transforms each vj into uj. We can do this in two steps:

Step 1: Transform v1, v2, ..., vn into u1, u2, ..., un using A^T.

Step 2: Transform u1, u2, ..., un back into v1, v2, ..., vn using B.

Thus, the matrix C is given by C = BA^T.

To understand why the matrix C = BA^T transforms each vj into uj, we need to consider the effect of A^T and B separately.

Since A^T transforms u1, u2, ..., un into the standard basis, we have A^Tuj = ej, where ej is the jth standard basis vector.

Similarly, since B transforms the standard basis into v1, v2, ..., vn, we have B^Tvj = ej.

Combining these two equations, we get:

B^Tuj = (B^TA^T)uj = (AB)^Tej

Note that AB is an orthogonal matrix, since it is the product of two orthogonal matrices. Also, AB transforms the standard basis into u1, u2, ..., un, which means that (AB)^T transforms u1, u2, ..., un into the standard basis.

Therefore, the jth column of C is given by (AB)^Tej, which is the vector obtained by applying the transformation AB to the jth standard basis vector. This means that the jth column of C is equal to the vector obtained by transforming vj into uj using the two-step process described above.

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Answer:

x=1

Step-by-step explanation:

6x+2=9x-1

You first want to isolate the variable to one side, so subtract 6x and 9x

2=9x-1

-6x

2=3x-1

Now you want to get rid of the constant, so add 1 to the other side

2=3x

+1

3=3x

Now divide both sides by 3 to remove the 3 from x.

3/3=3x/3

1=x

Answer:

x = -2,1, 2

Step-by-step explanation:

g(x) = (x + 2)(x − 1)(x − 2)

Assuming we are looking for the roots

0  = (x + 2)(x − 1)(x − 2)

Using the zero product property

0 = x+2    0 =x-1    0 = x-2

x=-2         x = 1            x =2

Answer:  They are the same equivalent price, $0.95/liter.

Step-by-step explanation:

Choices:  $3.58 per gallon, or $3.79 for 4 L.

========

We need to convert one of the volumes.  I'll convert gallons to liters.

By definition, 1 gallon = 3.785 liters

Make this into a conversion factor:

We can make it either:

1)   (3.785 liters/gallon), or

2)  (1 gallon/3.785 liters)

Now convert the $3.58/gallon into dollars/liter.  We'll use the second conversion factor so that gallons cancels out when we multiply:

($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.

The grocery store milk must also be converted to a price expressed per 1 liter:

$3.79 for 4 L

= $0.95/liter.

They are the same equivalent price, $0.95/liter.

Yes, you must start over with a new sample in the experiment, since the addition of 10 ml of the Mg-EDTA reagent will cause a systematic error.

A systematic error is when there is an error in the measurement system that causes readings to differ from the actual value in a predictable manner. When 10 ml of the Mg-EDTA reagent is added to the solution instead of a few drops, it will lead to a significant change in the hardness of the water.

Since the amount of the reagent added is significantly more than what is required, the endpoint will be reached at a different point than what was initially intended. This will, in turn, affect the measured hardness of water of the sample.

What is the Magnesium Ethylenediaminetetraacetic acid? Magnesium ethylenediaminetetraacetic acid is an intricate amino acid that is used in water hardness testing. It has a strong capacity to chelate magnesium ions, which are the source of water hardness.

The compound is utilized as a standard water hardness testing reagent because it can react with the calcium and magnesium ions found in hard water. Magnesium ethylenediaminetetraacetic acid is used to measure water hardness by titration with a solution of magnesium ethylenediaminetetraacetic acid.

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The equation for the least-squares regression line for the given data and the average chance of admission for a student who scores a 305 on the GRE are options b) 51% (or 0.51).

To find the equation for the least-squares regression line, we need to first calculate the slope and y-intercept. Let x be the predictor variable (GRE score) and y be the response variable (admission chance). Then, we have:

n = 10 (number of data points)

Σx = 3100

Σy = 52.1

Σxy = 161750

Σx^2 = 96100

Σy^2 = 24.71

The slope, b, can be calculated as:

b = (nΣxy - ΣxΣy) / (nΣx^2 - Σx^2)

= (10(161750) - (3100)(52.1)) / (10(96100) - 3100^2)

= 0.0644

The y-intercept, a, can be calculated as:

a = (Σy - bΣx) / n

= (52.1 - (0.0644)(3100)) / 10

= 0.336

Therefore, the equation for the least-squares regression line is:

y = 0.0644x + 0.336

To find the average chance of admission for a student who scores a 305 on the GRE, we simply substitute x = 305 into the equation and solve for y:

y = 0.0644(305) + 0.336

= 0.5136

So the average chance of admission for a student who scores a 305 on the GRE is b) 51% (or 0.51).

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Answer:  greatest number of bunches using all balloon is 48, using purple ballon is 27

Step-by-step explanation:

Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

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The total amount of cash received from the sale given by percentage is $1,336,000.

From the question, we can conclude that :

The bonds cost = $1,002,000

Percentage issued = 3/4 = 75%

We can assume that the total amount of cash received from the sale is 100%.

Hence, we can write the formula of cash received depending on the bond cost and percentage given by :

( percentage issued ) / (total) = (bond cost) / (total amount)

( percentage issued ) / (total) = (bond cost) / (total amount)

(75 %) / (100%) = $1,002,0000 / (total amount)

3 / 4 = $1,002,0000 / (total amount)

by cross multiplication

3 x (total amount) = 4 x $1,002,000

3 x (total amount) = $4,008,000

(total amount) = $4,008,000 / 3

(total amount) = $1,336,000

So the total amount of cash received from the sale given by percentage is $1,336,000

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Answer:

Step-by-step explanation:

(-1, 4) (0, 1)

(1 - 4)/(0+1)= -3/1 = -3

Answer:

- 3

Step-by-step explanation:

(-1, 4) (0, 1) = - 3

Answer:

C = 14π cm

Step-by-step explanation:

C = πd

or

C = 2πr

Simply use the 1st equation and plug in the diameter to find you answer.

Answer:

y = 2 - \(x^{2}\)

Step-by-step explanation:

\(x^{2}\) results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

Answer:

3 hours 45 minutes

Step-by-step explanation:

The correct answer is:

scatter plot with points at (1,  6), (2,  4), (3, 2), (3, 6), (4, 1), (5, 4), (6, 2), and (9, 2), with a line passing through the coordinates (1, 6) and (5, 4).

What is the scatter plot?

A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.

We have given,

scatter plot with points at

(1,  6), (2,  4), (3, 2), (3, 6), (4, 1), (5, 4), (6, 2), and (9, 2),

The first option shows a line passing through the coordinates (1, 6) and (5, 4) which appears to fit the data.

Therefore, the correct answer is:

scatter plot with points at (1,  6), (2,  4), (3, 2), (3, 6), (4, 1), (5, 4), (6, 2), and (9, 2), with a line passing through the coordinates (1, 6) and (5, 4).

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Answer:

Perimeter of triangle PQR = 181.5 mm

Step-by-step explanation:

Midsegment theorem states that,

"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"

From the figure attached,

PQ = \(\frac{1}{2}(EF)\)

     = \(\frac{83}{2}\)

     = 41.5 mm

PR = \(\frac{1}{2}(GF)\)

     = \(\frac{110}{2}\)

     = 55 mm

QR = \(\frac{1}{2}(GE)\)

      = \(\frac{170}{2}\)

      = 85 mm

Perimeter of triangle PQR = PQ + QR + PR

                                           = 41.5 + 55 + 85

                                           = 181.5 mm  

You may convert any equation to intercept form by dividing by the constant on the right: => x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.

You may convert any equation to intercept form by dividing by the constant on the right:

\(x/3 + y/3 = 1\\\\x/1.2 +y/(-1) = 1\)

These inform you that only graph A is suitable since the first equation has x- and y-intercepts of 3. The second equation likewise fits with graph A since it has an x-intercept of 1.2 and a y-intercept of -1.

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Answer:

75%

Step-by-step explanation:

3/4 ie 75/100. .........edge

Answer:

The answer is 6.

Step-by-step explanation:

Since w = 6 you would input the 6 where the w value is. Your equation should look like this: 2(6)-6

First you multiple the 2 x 6 which equals 12. After you minus 12-6 which equals 6. Therefore your answer is 6.

Answer:

36 Quarters and 3 dimes

Step-by-step explanation:

4 x 9 = 36

10 x 3 + 30

Answer:

28 quarters and 23 dimes

Step-by-step explanation:

q = d + 5

.25a +.1d = 9.30

.25(d+5) +.1d = 9.30

.25d + 1.25 +.1d = 9.30

.35d = 8.05

d = 23

23 + 5 = 28

q = 28

Answer:

Rectangle= lw (length times width)

Square= a²

Parallelogram=bh (base times height)

To find the probability that at least 2 of the comments are positive, we can use the concept of complementary probability. We'll find the probability that fewer than 2 comments are positive and then subtract it from 1 to get the desired probability.

Let's consider the following scenarios:

1. No comments are positive (all 10 comments are negative).

2. Exactly 1 comment is positive.

Let's calculate the probability of each scenario:

1. Probability of no comments being positive:

P(No positive comments) = (0.9)^10 = 0.3487 (rounded to four decimal places)

2. Probability of exactly 1 comment being positive:

P(Exactly 1 positive comment) = 10 * (0.1)^1 * (0.9)^9 ≈ 0.3874 (rounded to four decimal places)

To find the probability that at least 2 comments are positive, we subtract the sum of the above probabilities from 1:

P(At least 2 positive comments) = 1 - P(No positive comments) - P(Exactly 1 positive comment)

                             = 1 - 0.3487 - 0.3874

                             ≈ 0.2639 (rounded to four decimal places)

Therefore, the probability that at least 2 of the comments are positive is approximately 0.2639 or 26.39%

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The daily percent of increase in tourists from one month to the next is approximately 5.4% which is obtained through mathematical operations.

To calculate the daily percent of increase, we need to determine the difference in the number of tourists between the two months and divide it by the number of days in the second month. Then, we express this difference as a percentage.

In the given scenario, the increase in tourists from the first month to the second month is 6355 - 4500 = 1855. The number of days in the second month is 31. Dividing the increase by the number of days gives us

1855 / 31 = 59.8387.

To express this increase as a percentage, we multiply the result by 100, yielding 5983.87%. Rounding this to the nearest tenth of a percent gives us approximately 5983.9%.

Finally, to find the daily percent of increase, we divide the percentage by the number of days in the second month: 5983.9% / 31 = 5.4%.

Therefore, the daily percent of increase in tourists from one month to the next is approximately 5.4%.

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The minimum unit cost amount is 17,506.

The minimum unit cost amount of the X-ray machines can be determined by taking the derivative of the cost function C(x) = 0.5x^2 - 280x + 52,506, and then setting that derivative equal to 0. This gives us an equation of x = 560. Plugging this value back into the original cost function gives us C(560) = 17,506, which is the minimum unit cost.The minimum unit cost amount of the X-ray machines can be determined by taking the derivative of the cost function C(x) = 0.5x^2 - 280x + 52,506, and then setting that derivative equal to 0.

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Answer:

m=7

Step-by-step explanation:

subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.

Answer: m=7

Step-by-step explanation:

\(5m+35=70\)

subtract 35 on both sides

\(5m+35-35=70-35\)

\(5m=35\)

divide 5 on both sides

\(35/5=7\)

\(m=7\)

Answer:

x = 10

Step-by-step explanation:

(f - g)(x) is equal to x³ - 2x² + 18x - 10.

Given:

ƒ(x) = x³ − 2x² + 12x − 6

g(x) = 4x² - 6x + 4

To find (f - g)(x), we subtract g(x) from f(x):

(f - g)(x) = ƒ(x) - g(x)

Substituting the given functions, we have:

(f - g)(x) = (x³ − 2x² + 12x − 6) - (4x² - 6x + 4)

Expanding the expression, we get:

(f - g)(x) = x³ − 2x² + 12x − 6 - 4x² + 6x - 4

Combining like terms, we have:

(f - g)(x) = x³ - (2x² - 4x²) + (12x + 6x) - (6 + 4)

Simplifying further, we get:

(f - g)(x) = x³ - 2x² + 18x - 10

Therefore, (f - g)(x) is equal to x³ - 2x² + 18x - 10.

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