how many cubic yards of concrete are required for all the 40/80 piers on the project?

Answer:

Step-by-step explanation:

\(f(x)=a(x-h)^2+k\)    vertex form of equation with vertex (h, k)

\(\left \big{f(x)=a(x-h)^2+k}\atop \big{f(x)=-(x-2)^2-3}\right\}\implies a=-1\,,\ h=2\,,\ k=-3\)

So vertex of  f(x) = - (x - 2)² - 3 is  (2, -3)

The total weight is 18.5 kilograms

Answer:

3a

Step-by-step explanation:

9/3 = 3

\(a^{3}/a^{2} = a^{3 -2} = a\)

b / b = 1

3 x a x 1 = 3a

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

Answer:

the second one and the answer it's : 5x+21

Step-by-step explanation:

The correct value for the precision is found to be  0.0013 for the survey.

The formula for finding the precision  is-

Precision = E(closure)/ Perimeter

E(closure) = √(ed)² + (el)²

Where,

error in latitude (el) = 0.82 ft

error in departure (ed) = 0.35 ft.

Perimeter = 684.5 ft.

Find the E(closure)

E(closure) = √(0.82)² + (0.35)²

E(closure) = 0.89

Precision = 0.89/684.5

Precision = 0.0013

Thus, the correct value for the precision is found to be  0.0013 for the survey.

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Answer:

R' (- 5, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (5, - 6 ) → R' (- 5, - 6 )

Answer:

-5, -6

Explanation:

5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).

Hope this helped :)

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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68.26% of all possible z values are contained between -1 and 1.

The formula for the 68-95-99.7 rule states that 68% of the data should fall within 1 standard deviation of the mean, 95% of the data should fall within 2 standard deviations of the mean, and 99.7% of the data should fall within 3 standard deviations of the mean. Therefore, for a standardized normal distribution, 68.26% of all possible z values are contained between -1 and 1.

To calculate this, first recall that for a normal distribution, the mean is 0 and the standard deviation is 1. Then use the 68-95-99.7 rule to determine that 68% of the data should be contained within 1 standard of the mean. Since the mean is 0, this means that 68% of the data should be contained between -1 and 1. Therefore, 68.26% of all possible z values are contained between -1 and 1.

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Step-by-step explanation:

-9/13 + -6/13

(-9 - 6)/ 13

= -15/13

hope it helps ya

Answer:

Step-by-step explanation:

x^2-16/x^4-x^3

Factor x^4-x^3:

=x^2-16/x^3(x-1)

x^3(x-1)

Factor x^2-16;

(x+4)(x-4)

=(x+4)(x-4)/x^3(x-1)

Given:

13 is the final answer.

The value of x is 3  and the sides of given rectangle are 3,3,9,9.

What is Area of rectangle ?

area of rectangle can be defined as product of length and breadth.

From the given figure ,

it is given that ,

perimeter of rectangle = 24 cm

and the sides are ,

x,x,x+6,x+6

so we know that perimeter of rectangle = 2 (l+b)

that is,

24 = x+x+x+6+x+6

24 = 4x + 12

4x = 12

x = 3

Therefore, The value of x is 3  and the sides of given rectangle are 3,3,9,9.

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Answer:

y = 120

Step-by-step explanation:

y = kx ur finding k

8 = k 3 get k alone by dividing both sides by 3 --> 8/3 = k

k = 8/3

Y = 8/3 45 now your finding Y when x is 45

Y = 120

to make sure do 120 = 8/3 45 should equal the same

The two vectors and a vector and a scalar which shows that H is not a subspace of \(R^2\) are \(\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}\) , \(\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}\)  and \(\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right]\) and 6.

Given the set, \(H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}\) which represents the set of points on and inside an ellipse in the xy-plane.

We have to show that H is not a subspace.

We can show that this set is not closed under vector addition of two vectors by finding those vectors.

\(\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]\) and \(\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]\) are two vectors in H, since it satisfies the given condition, \(8x^2+5y^2\leq 1\).

i.e., \(8\times(\frac{1}{5})^2 + 5\times (\frac{1}{4})^2 = 0.6325\leq 1\) and \(8\times(\frac{1}{6})^2 + 5\times (\frac{1}{7})^2 = 0.3242\leq 1\)

\(\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]\) + \(\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]\) = \(\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right]\)

But  \(8\times(\frac{11}{30})^2 + 5\times (\frac{11}{28})^2 =1.847 \geq 1\)

So the vector  \(\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right]\) does not belongs to H.

So It is not closed under addition.

Now we will prove that H is not closed under scalar multiplication of a vector and a scalar either.

\(\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right]\) is a vector in H. But \(6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right]\) does not belongs to H, where 6 is a scalar.

This is because \(6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right]\)  = \(\left[\begin{array}{c}1 \\2 \end{array}\right]\) and  \(8\times1^2 + 5\times 2^2 =28 \geq 1\).

So the two vectors are \(\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}\) and \(\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}\)  and one vector and a scalar are \(\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right]\) and 6.

The question is incomplete. Find the complete question below:

Let  \(H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}\), which represents the set of points on and inside an in the xy-plane. Find two specific examples two vectors, and a vector and a scalar to show that H is not a subspace of  \(R^2\).

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Answer:

The answer is 192.

Step-by-step explanation:

Answer: The answer is 0208333333 (Simplified = .021)

Step-by-step explanation: In fraction form, it's 208333/10000000

John needs to make a 16 inches cut of the tiles along the median. The correct answer is option C. 16 inches.

When cutting the tile along the median, we need to find the length of the cut that divides the trapezoid into two equal areas.

The median of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides. In this case, the top base of the trapezoid is 13 inches and the bottom base is 19 inches.

To find the length of the cut, we can take the average of the lengths of the top and bottom bases. The average of 13 inches and 19 inches is (13 + 19) / 2 = 32 / 2 = 16 inches.

Therefore, John will need to make a 16-inch cut along the median to cut the tiles in half and create the desired pattern on his floor.

Option C, 16 inches, correctly represents the length of the cut required to cut the tiles along the median.

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9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

Comment on the figure

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Option B is inaccurate since historical data and weather trends may be expressions used to determine the chance. Since probabilities are always between 0 and 1, option D is erroneous.

An expression in mathematics is a collection of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complex as  They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals . Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complex mathematical issues.

The following statement is most likely correct concerning the likelihood of temperatures falling below 32 degrees Fahrenheit in Maine during the month of January:

D. The probability is greater than one.

Maine is noted for its frigid winters, with temperatures often falling below freezing in January. Yet, it is not certain that temperatures would never fall below 32 degrees Fahrenheit in January. As a result, it is safe to state that the likelihood of temperatures falling below 32 degrees Fahrenheit is high, but not absolutely 100%. Option B is inaccurate since historical data and weather trends may be used to determine the chance. Since probabilities are always between 0 and 1, option D is erroneous.

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The shape of a parallelogram has the dimensions  the area of the window is 8 ft².

To find the area of the parallelogram-shaped window the formula:

Area = base × height

Given:

Segment AE = 2 ft

Segment DE = 4 ft

Segment DC = 5 ft

Since segment DE is perpendicular to side AB and acts as the height of the parallelogram, use DE as the height.

So, the base of the parallelogram is AE, and the height is DE.

Base = AE = 2 ft

Height = DE = 4 ft

calculate the area:

Area = Base × Height

Area = 2 ft × 4 ft

Area = 8 ft²

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The minimum requirements for a class i aluminum main lightning conductor are a strand size, 95 pounds/1,000 feet weight per length, and a cross-sectional area of 98,600 circular mils.

These requirements are set by industry standards and regulations to ensure the safety and effectiveness of the lightning protection system. The strand size refers to the diameter of the individual wires that make up the conductor, which must meet a minimum size to withstand the forces of a lightning strike. The weight per length is a measure of the conductor's strength and durability, with a higher weight indicating a more robust design. Finally, the cross-sectional area is the total area of the conductor's circular shape, which impacts its ability to conduct electrical current and dissipate the energy from a lightning strike.

Overall, meeting these minimum requirements is essential for ensuring that a lightning protection system is capable of effectively capturing and directing the energy from a lightning strike to the ground, protecting the building and its occupants from potential harm.

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A negative correlation coefficient indicates an inverse or indirect relationship between two variables. As one variable increases, the other tends to decrease or become smaller.

A correlation coefficient measures the strength and direction of the relationship between two variables. It can range from -1 to +1. A negative correlation coefficient indicates an inverse relationship between the variables.

In an inverse relationship, as one variable increases, the other variable tends to decrease or become smaller. Conversely, as one variable decreases, the other variable tends to increase or become larger. This means that the variables move in opposite directions.

For example, if we observe a negative correlation between the amount of studying done for an exam and the number of mistakes made, it means that as studying increases, the number of mistakes decreases, and vice versa.

On the other hand, a positive correlation coefficient indicates a direct relationship, where both variables tend to move in the same direction. In a positive correlation, as one variable increases, the other variable also increases, or as one variable decreases, the other variable decreases.

In conclusion, a negative correlation coefficient signifies an inverse relationship between two variables, where an increase in one variable is associated with a decrease in the other variable, and vice versa.

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The sentence that explains why two of the fractions shown on the number lines below are equivalent is "The fractions \(\frac{1}{2}\) , \(\frac{2}{4}\) are equivalent because both fractions have the same denominator."

The two fractions \(\frac{1}{2}\) and \(\frac{2}{4}\)  have the same denominator, which is 4. If we multiply the numerator and denominator of \(\frac{1}{2}\) by 2, we get \(\frac{2}{4}\) which means they are equivalent.

When two fractions have the same denominator, they can be easily compared and converted to their equivalent forms.

A number line is a graphical representation of numbers on a straight line, which can be used to compare numbers and determine their value and relationships. Although the number line helps in understanding the fractions, it does not have any direct relation with the equivalence of the given fractions.

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The slope from points (5, -7) and (6, -4) is 3.

The slope of a line represents the stiffness or direction of a line. It is also defined as the change in the y-coordinate with respect to the x-coordinate.

The slope of a line from the points (x₁, y₁) and (x₂, y₂) is given by

Here we have

Points (5, -7) and (6, -4)

As we slope of the line is [y₂ - y₁]/[x₂ - x₁]  

Take (5, -7) = (x₁, y₁) and (6, -4) = (x₂, y₂)    

Slope from given points = [-4 - (-7) ]/[6 - 5]    

= [-4 + 7) ]/[1]  = 3    

Therefore,

The slope from points (5, -7) and (6, -4) is 3.

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Answer:

33.4 +  34.6

Step-by-step explanation:

68 seconds  in minutes that would be 1 minuet and 8 seconds

The sum of the 25th term of the AP 3, 10, 17 is 171.

The sum of the 25th term of an arithmetic progression (AP) 3, 10, 17 can be found using the formula for the nth term of an arithmetic progression, which is:
aₙ = a₁ + (n - 1) d
where aₙ is the nth term, a₁ is the first term, d is the common difference, and n is the number of terms.

In this case, a₁ = 3, d = 10 - 3 = 7, and n = 25. Plugging in these values into the formula, we get:
a₂₅ = 3 + (25 - 1) 7
a₂₅ = 3 + 168
a₂₅ = 171

Therefore, the sum of the 25th term of the AP 3, 10, 17 is 171.

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