write as a single equation, 2x + 3 / 3 + x - 4 / 4

Answer: a, -1/2x-6=y

Step-by-step explanation:

The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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Answer: \((x+3)^2+(y-6)^2 = 36\\\\\)

==========================================================

Explanation:

If you apply the midpoint formula to the given points, you should find the midpoint is (3,6). This point represents the center of the circle. This means (h,k) = (3,6).

The radius is r = 6 because this is the distance from the center to either given endpoint. Either count out the spaces or use subtraction of the x coordinates. This works because the y coordinates are all the same.

Use those h, k and r values to plug them into the equation below

\((x-h)^2+(y-k)^2 = r^2\\\\(x-(-3))^2+(y-6)^2 = 6^2\\\\(x+3)^2+(y-6)^2 = 36\\\\\)

which represents the equation of the circle we're after.

The graph is below.

Answer:

Your answer is 35!

Step-by-step explanation:

I'm sure of it!

To find the missing sides and angles of a right triangle with side b = 32 and side c = 51, we can use the Pythagorean theorem and trigonometric ratios.

Let's denote the missing side as a and the angles as A and B, with B being the right angle.

Using the Pythagorean theorem, we know that in a right triangle, the sum of the squares of the two legs (a and b) is equal to the square of the hypotenuse (c):

a^2 + b^2 = c^2

Plugging in the given values, we have:

a^2 + 32^2 = 51^2

a^2 + 1024 = 2601

a^2 = 1577

a ≈ 39.73

Therefore, the length of the missing side a is approximately 39.73.

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Answer:

1.  20 tins of milk

2.  Weight of the Carton = 8,4kg ot 8400g

Step-by-step explanation:

Given

Volume of a Tin = 77cm³

Weight of a tin = 5000g

Volume of Empty Carton = 1540cm³

Weight of Empty Carton = 5000g

Calculating the number of tins of milk

To do this, we have to make use of the given volumes;

And this is done as follows;

\(Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}\)

Substitute  77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton

\(Number = \frac{1540cm^3}{77cm^3}\)

\(Number = 20\)

Hence, 20 tins of milk will filled the empty carton

Calculating the weight of the Carton after filled with tins of milk

This is calculated as thus;

Total Weight = Weight of Empty Carton + Weight of Tins of Milk

Substitute 5000g for Weight of Empty Carton

Total Weight = 5000g + Weight of Tins of Milk

_________________________________________

Calculating Weight of Tins of Milk

Since 20 tins of milk will fill the empty carton, the

Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk

Weight of Tins of Milk = 20 * 170g

Weight of Tins of Milk = 3400g

_________________________________________

Substitute 3400g for Weight of Tins of Milk

\(Total\ Weight = 5000g + 3400g\)

\(Total\ Weight = 8400g\)

In Kilograms:

\(Total\ Weight = 8.4kg\)

Answer:

3x + y = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Standard Form: Ax + By = C

Step-by-step explanation:

Step 1: Define

y = -3x + 7

Step 2: Rewrite

Find Standard Form.

Answer:

A = 1024 pi  units^2

Step-by-step explanation:

If r = 32 units, we can find the area

A = pi r^2

A = pi ( 32) ^2

A = 1024 pi  units^2

The area of the circle C is 1024π square units.

Area is the amount of space occupied by a two-dimensional figure.

The formula for the area of circle is given by

\(Area = \pi r^{2}\)

Where,

r is the radius of the circle

According to the question.

We have the radius of circle, r = 32 units

Therefore,

The area of the circle C is given by

\(Area = \pi (32)^{2}\)

⇒ \(Area = 1024\pi\) square units

Hence, the area of the circle C is 1024π square units.

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Answer:

Read carefully below

Step-by-step explanation:

In general, the inverse of a function f(x) is a function g(x) such that f(g(x)) = g(f(x)) = x for all values of x in the domain of f(x) and g(x). To find the inverse of a function, we need to switch the input and output variables and solve for the new output variable.

In this case, we are given the function -2f(x+5)-4. To find the inverse of this function, we need to switch the input and output variables and solve for the new output variable, which we will call y. We can do this by first moving all the terms to one side of the equation, and then solving for y:

-2f(x+5) - 4 = y

-2f(x+5) = y + 4

f(x+5) = (y + 4) / -2

This is the inverse function of -2f(x+5)-4. However, keep in mind that not all functions have inverses. In particular, a function must have the property that it is one-to-one (i.e. it maps unique inputs to unique outputs) in order to have an inverse. It is not clear from the given information whether the function -2f(x+5)-4 is one-to-one, so it is possible that it does not have an inverse.

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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The exact value of Cos A is 4√7 / 11.

Trigonometric functions are real functions defined on the angles of a triangle.

They are the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given that,

csc A = -11/3

We know that, csc A = 1 / sin A

1 / sin A = -11/3

sin A = -3/11

Now we have a trigonometric identity that,

sin² A + cos² A = 1

cos² A = 1 - sin² A

           = 1 - (-3/11)²

           = 112 / 121

cos A = √(112 / 121)

cos A = (√112) / 11

          = 4√7 / 11

Hence the value of cos A is 4√7 / 11.

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According to the given question the correct option  is (D) which is 84 and 6/7 square inches.

Surface area is indeed a measurement of how much overall space an object occupies. A three-dimensional shape's surface area is the sum of the area surrounding it. The term "surface area" refers to a three-dimensional shape's overall surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas from every face. As an alternative, you can name the dimensions of this box using the formula below: 2lh, 2lw, with 2hw make up the surface area (SA). Surface area is a unit used to describe how much space a three-dimensional form's surface takes up overall.

Given,

The formula: can be used to determine a cylinder's surface area.

surface area = 2πr^2 + 2πrh

where r is the cylinder's radius and h seems to be the cylinder's height.

In this case, the diameter of the mini muffins is 2 inches, so the radius is 1 inch. The height is 1 and 1/4 inches. When these values are added toward the formula, we obtain:

surface area = 2π(1^2) + 2π(1)(5/4) = 2π + 5π/2 = 9π/2

To find the amount of paper needed to wrap 6 mini muffins, we multiply the surface area of one mini muffin by 6:

6 × (9π/2) = 27π

Approximating π as 22/7, we get:

27π ≈ 27 × 22/7 = 84 and 6/7

Therefore, the answer is (D) 84 and 6/7 square inches.

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Answer:

$700

Step-by-step explanation:

She's willing to pay up to $3000.

She pays only $2300.

consumer surplus = $3000 - $2300 = $700

Answer:

$700

Step-by-step explanation:

Anna's consumer surplus is the difference between her willingness to pay and the price she actually paid, which is $3000 - $2300 = $700.

Therefore, the answer is $700.

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

-3

Step-by-step explanation:

Use x as the variable

4x-6=6x

6x-4x=-6

2x=-6

x=-3

The length of the shortest highway that can be built between the two towns is approximately 73.38 km.

(a) Let's assume that 'd' is the shortest length of the highway that can be built between the two towns. Using the Pythagorean theorem, we can determine the value of 'd':

d² = (41.7)² + (60.3)²

d² = 1743.69 + 3636.09

d² = 5379.78

d = √5379.78

Therefore, the length of the shortest highway that can be built between the two towns is approximately 73.38 km.

(b) To find the angle that the highway makes with respect to due west, we can use the tangent function:

Tanθ = Opposite side / Adjacent side = 41.7 / 60.3

Tanθ ≈ 0.692

Using inverse tangent, we can find the angle θ:

θ ≈ tan⁻¹(0.692)

θ ≈ 34.15°

Therefore, the angle between the highway and due west is approximately 34.15°.

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Answer:

0.8 lb rice/ 1qt water is a unit rate for the mix.

Using the unit rate, the cook should mix 10 pounds of rice with 12.5 quarts of water.

These two statements are true the rest are false.

Step-by-step explanation:

Figuring out which statements are true and which statements are false.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

The original price of the bracelet, before tax $0.68

From the question, we have the following parameters that can be used in our computation:

Amount = $0.72

Sales tax = 6%

Using the above as a guide, we have the following:

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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Answer:

Step-by-step explanation:

First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x

x^3+2x^2-8x=0

x(x^2+2x-8)=0

x(x+4)(x-2)=0

x=0   x=-4   x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.

Plugging in a -5 gets us -35

-1 gets us 9

1 gets us -5

3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps

The zeroes of the function are -4, 0 and 2.

The intervals where the function is positive is \(-4 < x < 2, \ \ x >2\).

The intervals where the function is negative is \(x < -4\).

The given parameters:

The zeroes of a function is the possible values of the unknown that makes the entire function to be zero.

The zeroes of the cubic equation is calculated as follows;

f(x) = 0

x³ + 2x² - 8x

factorize as follows;

\(x(x^2 + 2x -8) = 0\\\\x(x^2 + 4x - 2x -8) = 0\\\\x[x (x + 4 )-2(x + 4)]= 0\\\\x(x + 4)(x -2)=0\\\\x = 0, \ \ x = -4 \ \ x = 2\)

The intervals where the function is positive and negative is determined as follows;

\(x(x + 4) (x - 2)\\\\\)

\(when, \ x = -5, \ f(x) = -ve\\\\when, \ x = -4, \ f(x) =0\\\\when , \ x = -3, \ f(x) = +ve\)

The intervals where the function is positive is determined as;

\(-4 < x < 2, \ \ x >2\)

The intervals where the function is negative is determined as;

\(x < -4\)

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Answer:

Option (2).

Step-by-step explanation:

Graph of the number of packs of papers required with respect to time represents a linear function.

Let the equation of the line is,

y - y' = m(x - x')

where m = slope of the line

(x', y') = coordinates of a point lying on the line

Since, the given line of the graph passes through two points (8, 2) and (16, 4)

Slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)

                            = \(\frac{4-2}{16-8}\)

                            = \(\frac{1}{4}\)

Therefore, equation of the line passing through (8, 2) and slope of the line = \(\frac{1}{4}\),

y - 2 = \(\frac{1}{4}(x-8)\)

y = \(\frac{1}{4}x\)

For x = 28 days,

y = \(\frac{28}{4}\)

  = 7 packs

Option (2) will be the answer.

In this game, the pure best response equilibria (BNE) are when Anna bids 200 and Brian bids 100, or when Anna bids 100 and Brian bids 200. These equilibria occur because both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

(a) The normal form of the game can be represented in a payoff matrix where the rows represent Anna's strategies (bids) and the columns represent Brian's strategies (bids):

scss

Copy code

            Brian

         |   100   |   200   |

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

 100 |  (300, 0) | (300, 0) |

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

 200 | (0, 100)  | (0, 200) |

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

In each cell, the first number represents Anna's payoff, and the second number represents Brian's payoff.

(b) To find all pure best response equilibria (BNE), we need to examine each player's strategy and determine if they have a best response to the other player's strategy.

For Anna:

If Brian bids 100, Anna's best response is to bid 200, as this guarantees a higher payoff of 300.

If Brian bids 200, Anna's best response is to bid 100, as this guarantees a higher payoff of 300.

For Brian:

If Anna bids 100, Brian's best response is to bid 200, as this guarantees a higher payoff of 0.

If Anna bids 200, Brian's best response is to bid 100, as this guarantees a higher payoff of 0.

Therefore, the pure best response equilibria (BNE) of this game are:

(Anna: 200, Brian: 100)

(Anna: 100, Brian: 200)

In both cases, both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

1. y = (-4^3)^2

2. y= 2^4/ 6^2

Answer:

ima just yoink these points since u asked this in february and its october now

Step-by-step explanation:

Answer:440

Step-by-step explanation:

The hypothesis which can be used to show whether data provide strong evidence or not are: \(H_{0}:p_{1}\)≠\(p_{2}\) and \(H_{1}:p_{1}=p_{2}\) where \(p_{1} and p_{2}\) are the proportions of Americans and chinese  people who use mobile phones to access internet.

Given proportion of Americans uses mobile phones is 17%. Proportion of chinese uses mobile phones is 38%.

Hypothesis are the statements which can be tested through its validity.  There can be  null hypothesis and alternate hypothesis.

The hypothesis which can be used are as under:

\(H_{0} :\)\(p_{1}\)≠\(p_{2}\)

\(H_{1}:p_{1} =p_{2}\)

We have used equal to signs because we have to check whether they are different or not.

We cannot check hypothesis as we don't have standard deviation.

Hence the hypothesis for this test are: \(H_{0} :p_{1}\)≠\(p_{2}\) and \(H_{1} :p_{1} =p_{2}\).

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Answer:

1218.06

Step-by-step explanation:

first multiply by the finance fees on unpaid balance :

1056.23*(1.2%)=12.674

then add the extra charges:

1056.23+12.674=1068.9

add the charges to the unpaid balance :

1068.9+425+274.16=1768.064

then subtract the payments: 1768.064-550 =1218.064

Answer:

C

Step-by-step explanation:

807 is equal to 800 + 7, and 24 is equal to 20 + 4. Using the distributive property, we get 20(800) + 4(800) + 20(7) + 20(7)

Answer:

C

Step-by-step explanation:

Because 24*807 in distributive property is C

The closure property refers to the mathematical law that states that if we perform a certain operation (addition, multiplication) on any two numbers in a set, the result is still within that set.In the expression (2x3 x2 - 4x) - (9x3 - 3x2), we are simply subtracting one polynomial from the other.

To simplify it, we'll start by combining like terms. So, we'll add all the coefficients of x3, x2, and x, separately.The given expression becomes: (2x3 x2 - 4x) - (9x3 - 3x2) = 2x3 x2 - 4x - 9x3 + 3x2We will then combine like terms as follows:2x3 x2 - 4x - 9x3 + 3x2 = 2x3 x2 - 9x3 + 3x2 - 4x= -7x3 + 5x2 - 4x

Therefore, the correct simplification of the expression is -7x3 + 5x2 - 4x. The demonstration of the closure property is shown as follows:The subtraction of two polynomials (2x3 x2 - 4x) and (9x3 - 3x2) results in a polynomial -7x3 + 5x2 - 4x. This polynomial is still a polynomial of degree 3 and thus, still belongs to the set of polynomials. Thus, the closure property holds for the subtraction of the given polynomials.

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