Attribute data is data that logically can be only whole numbers and can be expressed as:_____.

Answer:

If it's not too late by now, the answer is 19.9 \(mm^{2}\)

There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.

If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:

C(n + k - 1, k - 1)

where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:

C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)

There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:

C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55

Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars

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The length of the rectangle is found as 7 feet.

For the stated question;

Let the length and the width of the rectangle be 'L' and 'B'.

Then, width is given as;

W = L-2

Area = 35 square feet

A = LW = 35

Put the value of W

L(L-2) = 35

L² -2L - 35 = 0

L² -2L - 35 =0

(L-7)(L+5) = 0

L > 0 so, L=7 is solution

Thus, the length of the rectangle is found as 7 feet.

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The correct question is-

A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 35 square feet. find the length of the rectangle.

Answer:

≈ 0.19

Step-by-step explanation:

So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:

10/(6+10+5+1)

= 10/22

= 5/11.

So getting a yellow marble on the first try is 5/11 likeliness.

Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.

To find the probability of getting the second marble, our equation is:

9/(6+9+5+1)

= 9/21

= 3/7.

Lastly, to find the probability of getting them both consecutively, we multiply the two results.

5/11 * 3/7

= 15/77

≈ 0.19

I hope this helped! :D

Answer:

   -7/10

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 4 - -3)/( -6 - 4)

     = ( 4+3)/( -10)

   -7/10

The value of Δχ for r1 = 2.09 × 10⁻⁰ cm³/g and for r2 = 3.59 × 10⁻⁰ cm³/g.

We are given the radii of the two circles, i.e.,

r1 = 10.00 cm and

r2 = 17.00 cm.

Also, the circumference of each circle is divided into 30 equal parts.

We need to calculate the value of Δχ for each of these radii.

The formula for Δχ is given by;

Δχ = (2πr) / n

Where, Δχ = the change in magnetic susceptibility

r = radius

n = number of turns of wire

We can determine the value of Δχ for each of these radii by using the above formula as follows;

For r1 = 10.00 cm

Δχ = (2πr) / n

= (2π * 10.00) / 30

= 2.09 × 10⁻⁰ cm³/g

For r2 = 17.00 cm

Δχ = (2πr) / n = (2π * 17.00) / 30

= 3.59 × 10⁻⁰ cm³/g

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Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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If you want to halve the recipe, you will need 32 ounces of ground beef. We can find it by multiplying.

To determine the amount of ground beef needed when halving the recipe, we need to convert pounds to ounces. There are 16 ounces in 1 pound.

Given that the original recipe calls for 4 pounds of ground beef, we can calculate the amount needed when halving the recipe by dividing it by 2.

Amount needed when halving = 4 pounds / 2 = 2 pounds.

To convert 2 pounds to ounces, we multiply it by 16:

2 pounds * 16 ounces/pound = 32 ounces.

Therefore, when you halve the recipe, you will need 32 ounces of ground beef.

In conclusion, to make half of the original recipe that calls for 4 pounds of ground beef, you will need 32 ounces of ground beef.

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Answer:

Step-by-step explanation:

\(-(\frac{1-2a}{a-5} )\\\frac{2a-1}{a-5}\\ = \frac{2(7) - 1}{7-5}\\=\frac{13}{2}\)

1. The angles measures are larger than the original angle measures is a false statement.

2. If two sides parallel in the original figure, then those sides are parallel in the final figure is true statement.

3. The final angle measure are the same as the original angle measure is false statement.

4. The original figure and the final figure may not be congruent is true statement.

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Answer:

lets go

Step-by-step explanation:

YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY

Answer:x=-1

add 1 to 3 to get 4, add 3 to -7 to get -4, divide both sides by -4

Answer:

\( \: \)

Step-by-step explanation:

Given Equation,

\( \\ {\longrightarrow \qquad{ \sf{-3x+3=-7x-1}}}\\ \\ \)

Adding 7x to both sides we get,

\({\longrightarrow \qquad{ \sf{-3x+3 + 7x=-7x-1 + 7x}}}\\ \\ \)

\({\longrightarrow \qquad{ \sf{4x+3=-1}}}\\ \\ \)

Subracting -3 from sides we get,

\( \\ {\longrightarrow \qquad{ \sf{4x+3 - 3=-1 - 3}}}\\ \\ \)

\({\longrightarrow \qquad{ \sf{4x=-4}}}\\ \\ \)

Dividing both sides by 4 we get,

\( \\ {\longrightarrow \qquad{ \sf{ \frac{4x}{4} = \frac{ - 4}{4} }}}\\ \\ \)

\({\longrightarrow \qquad{ \sf{x=-1}}}\\ \\ \)

The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function. The revenue function is given by the demand function multiplied by the price per unit, which is p(x).

Hence,R(x) = xp(x) = 1710xWhere, C(x) = 4100 + 570x + 1.6x2.

Therefore, P(x) = 1710x - (4100 + 570x + 1.6x2) = -1.6x2 + 1140x - 4100.

We need to maximize the profit, so we need to find the value of x at which the profit is maximized.

Let's differentiate the profit function with respect to x to find the value of x at which the derivative is zero: dP(x)/dx = -3.2x + 1140.

The derivative is zero when -3.2x + 1140 = 0Solving for x, we get:x = 356.25.

Therefore, the production level that will maximize profit is 356.25 units.

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a) The Laurent series for f(x) = sin(2x) around z = 0 is given by:

\(f(z) = 2z - (8/3)z^3 + (32/15)z^5 - (128/315)z^7 + ...\)

b) The Laurent series for f(x) = cos(2x) around z = 0 is given by:

\(f(z) = 1 - (4/2)z^2 + (16/24)z^4 - (64/720)z^6 + ...\)

c) The Laurent series for \(f(x) = z/(1-3z)^2\) around z = 0 is given by:

\(f(z) = z/(1-3z)^2 = z(1 + 6z + 21z^2 + 78z^3 + ...)\)

The Laurent series expansion for sin(2x) around z = 0 is derived by substituting 2x for x in the Taylor series expansion of sin(x).

This expansion consists of even powers of z only, starting from the term 2z. The residue in this case is 0, as there is no term with \(z^{(-1)\).

The Laurent series expansion for cos(2x) around z = 0 is derived using a similar approach. This expansion consists of even powers of z only, starting from the term 1. Again, the residue is 0.

The function \(f(x) = z/(1-3z)^2\) is expressed as a Laurent series around z = 0 by using the geometric series expansion for \((1-3z)^{(-2)\). The expansion includes both positive and negative powers of z.

In this case, the residue can be found by examining the coefficient of the term with \(z^{(-1)\), which is 6.

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Answer:

A) and E)

Step-by-step explanation:

Rotations do not affect the triangle's measurements, so all of the triangles are congruent. That is answer A). And since they are rotating about a point--point Z--they all share that vertex.

Answer:

The correct option is;

A 2-column table with 4 rows. Column 1 is labeled Solution steps with entries 3·x minus 15 + 7·x = 65, 10·x minus 15 = 65, 10·x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, addition property of equality, combine like terms division property of equality

Step-by-step explanation:

The question is 3·(x - 5) + 7·x = 65

3·x - 3×5 + 7·x = 65

3·x + 7·x  - 3×5 = 65

10·x  - 15 = 65

10·x  = 65 + 15 = 80

x = 80/10 = 8

Therefore, we have;

Solution steps,                                           Method to Justify

3·x - 15 + 7·x = 65,                                      Distributive property

10·x - 15 = 65,                                             Addition property of equality

10·x = 80,                                                    Combine like terms

x = 8,                                                           Division property of equality.

Answer:

B.

Step-by-step explanation:

To determine the volume of 7 troy ounces of pure gold, we need to know the density of gold. The density of gold is commonly expressed in grams per cubic centimeter (g/cm³).

The average density of gold is approximately 19.3 g/cm³.

Given that 1 troy ounce is equal to 31.103 grams, we can calculate the volume of 7 troy ounces of gold using the density formula:

Volume = Mass / Density

Mass of 7 troy ounces of gold = 7 troy ounces * 31.103 g/troy ounce = 217.721 grams

Volume = 217.721 g / 19.3 g/cm³ ≈ 11.28 cm³

Therefore, the volume of 7 troy ounces of pure gold is approximately 11.28 cm³.

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These transformations result in the graph of g(x), which is a horizontally reflected, horizontally compressed, horizontally shifted, and vertically shifted version of the parent function f(x) = log(x).

To achieve the graph of g(x) = log("-2x" - 4) - 1 from the parent function f(x) = log(x), several transformations are applied.

First, a horizontal reflection occurs due to the negative coefficient in front of the x term, "-2x". This reflection flips the graph of f(x) across the y-axis.

Next, a horizontal compression takes place due to the coefficient of 2 in "-2x". This compression squeezes the graph horizontally, making it narrower compared to the parent function.

Then, a horizontal shift to the right occurs by 4 units due to the constant term -4. This shift moves the graph horizontally, shifting it to the right.

Lastly, a vertical shift downward by 1 unit takes place due to the constant term -1. This shift moves the entire graph vertically, shifting it downward.

These transformations result in the graph of g(x), which is a horizontally reflected, horizontally compressed, horizontally shifted, and vertically shifted version of the parent function f(x) = log(x).

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The distance between the two tangent lines is $0$.

Let's first draw a diagram to better understand the problem:

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

We are given that $AB$ and $BC$ are diameters of circles with radius $1$. Let $O_1$ and $O_2$ be the centers of the circles with diameters $AB$ and $BC$, respectively. Since $AB$ and $BC$ are diameters, $O_1$ and $O_2$ coincide with $B$.

Let $D$ be the point where the tangent to the circle with diameter $BC$ intersects $AB$, and let $E$ be the point where the tangent to the circle with diameter $AB$ intersects $BC$. Since the tangent lines are parallel, we have $\angle CDE = \angle ABC$. Furthermore, we know that $\angle ABC =\(90^\circ$\) since $AB$ is a diameter. Therefore, $\angle CDE = \(90^\circ$.\)

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

     \   /

      \ /

       D

Since $\angle CDE = \(90^\circ$\), we have $CD \perp DE$. Since $AB$ is a diameter, $AB \perp DE$. Therefore, $CD$ and $AB$ are parallel lines.

Let $F$ be the point where the tangent to the circle with diameter $BC$ intersects $CD$. We know that $AB \parallel CD$, so $\angle CDF = \angle ABC =\(90^\circ$\). This means that $CDF$ is a right triangle.

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

     \   / |

      \ /  |

       D   |

       |   |

       F   |

Let $x$ be the distance between the tangent lines. We want to find the value of $x$.

We have $DF = 1$ since $DF$ is a radius of the circle with diameter $BC$. We also have $CD = x$ since $CD$ is parallel to $AB$. Using the Pythagorean theorem in triangle $CDF$, we can find $CF$:

\($CF^2 = DF^2 + CD^2 = 1^2 + x^2 = x^2 + 1$\)

Since $CF$ is a radius of the circle with diameter $AB$, we have $CF = 1$. Therefore,\($x^2 + 1 = 1^2\)$, which gives us \($x^2 = 0$\). Since $x$ represents a distance, we can conclude that $x = 0$.

Therefore, the distance between the two tangent lines is $0$.

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Answer:

a) y = 1.4x

b) 1.4, that is, any time x changes by 1, y changes by 1.4.

Step-by-step explanation:

A)

We want an equation in the following format:

y = mx

Point (5,7).

This means that when x = 5, y = 7. So

y = mx

7 = m*5

5m = 7

m = 7/5

m = 1.4

So the equation is:

y = 1.4x

B.) explain how to interpret M is the slope of the line.

The slope is how much y changes when x changes by 1.

In this case, it is 1.4, that is, any time x changes by 1, y changes by 1.4.

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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√72 will lies between 8 and 9. So, 8 and 9 are the two positive integers.

A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.

Perfect squares are numbers that are obtained by squaring a whole number or an integer.

Given that, √72 and we have to find that between which two positive integers will √72 will lie. So, let's procced to solve this question accordingly.

First we will look for perfect squares on either side of 72.

So, the perfect squares which lies either side on the number 72 are 64 and 81 respectively.

Now, let's take the square roots of these perfect squares, we get

√64 = 8 and √81 = 9

So, this shows that √72 will be between 8 and 9.

Hence, √72 will lies between 8 and 9.

Therefore, 8 and 9 is the required answer.

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Answer: Hi!

Sara had 2/3 of a piece of cake. Jasmine had 2/5 of a piece of cake. How much cake did Sarah and Jasmine have in total?

Hope this helps!

Answer:

If Kaylah had 2/5 of a pizza, and Allia had 2/3 of a pizza how much would they eat together?

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴

Required

Determine the y intercept

The y intercept of a function is a point where x = 0

So, we have to substitute 0 for x in the above function

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes

f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴

f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0

f(0) = 0 + 0 + 0 + 0 + 0

f(0) = 0

Substitute y for f(0)

y = 0

Hence, the y intercept is 0

Note that the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval is 1.052.

To find the average value of Q, we simply add up all the values and divide by the number of trials:

Average value of Q = (41.314 + 40.087 + 41.248 + 40.196 + 40.284 + 41.152 + 38.852 + 36.401 + 37.941 + 39.221 + 39.035 + 38.404 + 40.683 + 41.568 + 42.175 + 42.319)/16

= 39.976

Next, to find the uncertainty range where we can be 95% sure that the true value of Q lies within, we need to find the standard error of the mean. The formula gives this:

Standard error of the mean = standard deviation / √(n)

where n is the number of trials. We can find the standard deviation using the formula:

Standard deviation = √(Σ(Qi - Q_avg)² / (n-1))

where Qi is the value of Q for the ith trial.

Using these formulas, we find:

Standard deviation = 1.549

Standard error of the mean = 0.387

To find the uncertainty range, we say:

Uncertainty range = t-value * standard error of the mean

= 2.131 * 0.387

= 0.826

Therefore, we can be 95% sure that the true value of Q lies within the range:

39.976 ± 0.826

Now, to calculate the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval, we can simply add the uncertainty ranges of the two estimates and take the absolute value of the difference:

|Q1 - Q2| = |39.976 ± 0.826 - 40| + |39.976 ± 0.826 - 39.8|

= 0.826 + 0.226

= 1.052

Therefore, the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval is 1.052.

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Check the picture below.

The correct answer is option A. The bonds have a yield 3.466 percentage points greater than that of the stocks.

To determine which aspect of Maria's investment in Prince Waste Collection offers a greater percent yield, we need to compare the yields of the bonds and the stocks.

First, let's calculate the yield for the bonds:

Market value of each bond = $1,000 (par value) × 97.917% = $979.17

Yearly interest received from each bond = $1,000 (par value) × 7.7% = $77

Yield for the bonds = (Yearly interest received / Market value of each bond) × 100

Yield for the bonds = ($77 / $979.17) × 100 ≈ 7.87%

Next, let's calculate the yield for the stocks:

Cost of each stock = $19.33

Yearly dividend received from each stock = $0.85

Yield for the stocks = (Yearly dividend received / Cost of each stock) × 100

Yield for the stocks = ($0.85 / $19.33) × 100 ≈ 4.40%

Now, we can compare the yields:

Yield for the bonds = 7.87%

Yield for the stocks = 4.40%

To find the difference in percentage points, we subtract the yield for the stocks from the yield for the bonds:

7.87% - 4.40% ≈ 3.47%

Therefore, the correct answer is option A. The bonds have a yield 3.466 percentage points greater than that of the stocks.

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Answer:

x =-19

Step-by-step explanation:

\(-4(x + 1) - 3 = -3(x - 4).\\\\\mathrm{Expand\:}-4\left(x+1\right)-3:\quad -4x-7\\\\\mathrm{Expand\:}-3\left(x-4\right):\quad -3x+12\\-4x-7=-3x+12\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\-4x-7+7=-3x+12+7\\\\Simplify\\-4x=-3x+19\\\\\mathrm{Add\:}3x\mathrm{\:to\:both\:sides}\\-4x+3x=-3x+19+3x\\\\Simplify\\-x=19\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{19}{-1}\\\\Simplify\\x=-19\)

Answer:

We have this equation:

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

First of all, we solve the paretheses:

-4x - 4*1 - 3 = -3x - (-3*4)

-4x - 4 - 3 = -3x +  12

-4x -7 = -3x + 12

We sum 7 on both sides and 3x on both too:

-4x - 7 + 7 + 3x = -3x + 12 + 3x + 7

-4x + 3x = 12 + 7

-x = 19

x = -19

Now we can verify:

-4(-19+1) - 3 = -3(-19-4);

-4(-18) - 3 = -3(-23);

72 - 3 = 69 (TRUE)

Step-by-step explanation:

option option b x equals to 15 and y equals to 12 is the correct answer of this question

please mark my answer as brain list and also vote me

Answer:

330°

Step-by-step explanation:

angle subtended=11×360/12=11×30=330°