(15 + y ) - (a+ u) }{3 ^ {2} -x}

Answer:

(x-1)^3.

Step-by-step explanation:

To find the least common multiple (LCM) of two polynomials, you can factor them and take the highest exponent of each variable that appears. In this case, the LCM is (x-1)^3 because it has the highest exponent of x that appears in both polynomials. It also contains all the other terms of both polynomials.

The missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

here,
As given in the quesiton,
Consider the triangle formed by the given construction,
ΔFDC and Δ FAB
AB║CD
∠FAB = ∠FCD
∠FBA = ∠FDC

So,  ΔFDC ≅ Δ FAB, by SAS congruency.

Thus, the missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.

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The first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long.

The ratio of the two pieces is 3 to 2. This means that the length of the first piece is 3/5 of the total length, and the length of the second piece is 2/5 of the total length.

If we let x be the length of the first piece, the length of the second piece is:

12 - x

Since the ratio of the two pieces is 3 to 2, we can set up the equation:

(3/5) * 12 = x

Solving for x:

x = 7.2

So, the first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long

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Because the temperature is greater, the relative humidity of the atmosphere is higher.

Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.

By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.

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Shaded picture where tree can be planted is attached below as per the scaling given.

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of size significant in two different ways.

Given, Here is a scale drawing of a garden. The scale is 1 cm to 2m

A tree is going to be planted. The tree must be more than 4 m from the patio. The tree must be more than 6m from the pond.

Since Scale is 1: 200

Planted tree distance from Patio = 4 m = 400 cm

in picture = 400 *  1: 200

in picture, Planted tree distance from Patio= 2 cm

Planted tree distance from Ppnd = 6 m = 600 cm

in picture = 600 *  1: 200

in picture, Planted tree distance from Patio= 3 cm

Therefore, Shaded picture where tree can be planted is attached below as per the scaling given.

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Answer:

slope=-5/2 and equation of line y=-5/2x+3

Step-by-step explanation:

we find the slope by using formula =y2-y1/x2-x1

On the coordinate plane , the point which lies on the y -axis is given by option ( 0 , 9 ).

As given in the question,

On the coordinate plane :

Point which lies on the y - axis is given by :

a. ( 9 , 9 )

This coordinate lies in the first quadrant. It will not lies on any of the axis.

False.

b. ( 9 , 0 )

In this coordinate has y-,coordinate is equal to zero , it lies on the x- axis.

False.

c. ( 0 , 9 )

In this coordinate has x-,coordinate is equal to zero , it lies on the y- axis.

True.

d. ( -9 ,-9 )

This coordinate lies in the third quadrant. It will not lies on any of the axis.

False.

Therefore, on the coordinate plane the point that lies on the y-axis is

( 0, 9).

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We know,

[tex] \cos(angle) = \frac{base}{hypotenuse} [/tex]

Here, the angle is 45°. Base = x, Hypotenuse = √10

We know,

[tex] \cos(45) = \frac{1}{ \sqrt{2} } [/tex]

Therefore,

[tex] \cos(45) = \frac{x}{ \sqrt{10} } \\ = > \frac{1}{ \sqrt{2} } = \frac{x}{ \sqrt{10} } \\ = > x = \frac{ \sqrt{10} }{ \sqrt{2} } = \sqrt{5} [/tex]

Answer:

√5

Hope it helps.

After translating the sentence into an equation using n to represent the unknown number and solving the equation the unknown number is 5.5.

In the given question, we have to translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n. the quotient of a number divided by 11 is 0.5.

Let the number is n. So

n/11 = 0.5

Now solving the expression to find the value of n.

Multiply the 11 on both side, we get

n = 0.5×11

n = 5.5

Hence, the unknown number is 5.5.

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Answer:

i don't know br

Step-by-step explanation:

Sorry but this is like college stuff:(

The value of variable d is 1120

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

D= wt²

Where W = 70 and T = 4

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

D = 70 * 4²

Evaluate the exponent

D = 70 * 16

Evaluate the products

D = 1120

Hence, the solution is 1120

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Answer: h= 4/5yr+ 5

Step-by-step explanation: by looking at the graph the slope is 4/5 and it intercepts the graph at 5 so y=4/5x + 5, then I plugged in the variables on the graph to get yr for year and h for height

A function is a relation between sets where for each input, there is exactly one output.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.

The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

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The cost of one hundred kilowatt-hours of electricity is $16.4

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, the formula for calculating the cost per one thousand kilowatt-hours of electricity is twice the sum of 36 and 4 times the difference of 7 and 2 dollars per thousand kilowatt-hours.

The cost for 1000 kilowatt-hours of electricity =

2(36+36) + 4(7-2)

= 2(72) + 4(5)

= 144 + 20

= $164

Since, 1000 kilowatt-hours of electricity costs $164

Then, 1 kwh will cost = $164 / 1000

And, 100 KWh will cost = $164 / 1000 × 100

= $16.4

Hence, The cost of one hundred kilowatt-hours of electricity is $16.4

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Answer:

James is 18 and Patrick is 38

Step-by-step explanation:

Let p = Patrick's age

Let j= James' age

p = j + 20

p + 2 = 2(j+2)        Substitute j + 20 for p

j + 20 + 2 = 2j + 4  Combine like terms.

j + 22 = 2j + 4  Subtract j from both sides

j -j + 22 = 2j - j + 4

22 = j + 4    Subtract 4 from both sides

22 - 4 = j + 4 - 4

18 = j

James is 18 years old.

Substitute 18 for j  in p = j + 20

p =  18 + 20

p = 38

Patrick is 38

1. The men are playing Dominos in the game.

2. A sandwich with pork ham and cheese is the kind of Cuban food shown.

3. The man in the yellow shirt and white pants is shown Dancing.

4. The Cuban flag has one star.

Dominoes refers to a group of tile-based games with playing pieces that resemble dominoes. A line usually divides the two square ends of each rectangular domino tile. Either a blank space or a series of dots designate each end. Each tile in a set has a back that is either blank or has a similar design, making them all identical.

The playing pieces are what make up a domino set, sometimes referred to as a deck or pack. The typical European domino set consists of 28 tiles with spot counts ranging from zero to six in all possible combinations. Some other names for these tiles are pieces, bones, rocks, stones, men, cards, and simply dominoes.

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The image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that the service sector has seen improvement in quality of service, but productivity remains about the same.

Improvement in quality of service:

Putting the customer first, balancing efficiency and customer satisfaction (experience), and focusing on employee engagement are three key strategies for improving contact center service quality.

Productivity:

Productivity is the efficiency with which goods and services are produced and is represented by a scale. A measure of productivity is often expressed as a ratio of total output to a single input or total input in a production process. Typically the output per unit of input over a period of time. The most common example is a measure of (aggregate) labor productivity, an example of which is GDP per worker. There are various definitions of productivity (including those not defined by the ratio of outputs to inputs), and the choice depends on the purpose of measuring productivity and the availability of data gain. The main reason for differences in different measures of productivity usually has to do with how outputs and inputs are aggregated (directly or indirectly) to obtain such relative measures of productivity doing conduct.

Importance of Productivity:

Productivity gains are defined as the process of getting more out of every hour of work. Improving productivity can take many forms, including: Capital, Investments in equipment, software, infrastructure, machinery, etc. equate to labor. Productivity is important for individuals (workers and consumers), business leaders, and analysts(such as policy makers and government statisticians).

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The student receives 84% overall which is between 80-90% and they will receive a letter grade of "B".

To determine the student's letter grade, you need to calculate the overall percentage of the total points possible.

A percentage is a way of expressing a number as a fraction of 100. It is often used to express a proportion or a rate, and is typically denoted by the symbol "%". To convert a number to a percentage, you multiply it by 100 and add the "%" symbol.

The first exam is out of 100 points, so the student scored 89/100 or 0.89 * 100 = 89%.

The second exam is out of 100 points, so the student scored 81/100 or 0.81 * 100 = 81%.

The final exam is out of 200 points, so the student scored 160/200 or 0.8 * 100 = 80%.

To find the overall percentage of the total points possible, you need to add the percentage scores from each exam and divide by the number of exams.

(89 + 81 + 80) / 3 = 84

Therefore,The student receives 84% overall which is between 80-90% and they will receive a letter grade of "B"

It's important to note that each institution may have different grading scales and different criteria for assigning letter grades.

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The answer of 21 tracks is accurate since, once the membership cost has been paid, the store charges $1.50 by each song. Since the monthly charge is a one-time expense, it is deducted from the $50 price cap.

The characteristic that every input is associated to approximately one output defines a function as a relationship between a series of inputs but a set of allowable outputs. A mapping from Here to there B will only be a function if every piece in set A has one end and only the image in set B. Let A & B have been any two non-empty sets.

The number of songs that may be downloaded with the specified budget is then calculated by dividing the remaining balance by the price of each song. The outcome is an analytic sequence because each song's price is set. The outcome is then rounded down to the closest whole number, which in this example is 21.

1. Take the $50 budget and deduct the $18 membership fee:

$50 - $18 = $32

2. Take the leftover amount and divide it by the price of each song:

$32 ÷ $1.50 = 21.33

3. To the nearest full number, round down:

21 songs

As a result, you may purchase 21 tracks for $50.

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The total cost of the meal was $16.189.

What is the sales tax?

A sales tax is a consumption tax that is added to the price of goods and services. It is usually a percentage of the purchase price, and the percentage varies depending on the location and type of product or service.

We are trying to find the total cost of the meal including the sales tax. To do this, we need to calculate the amount of tax and add it to the cost of the meal.

The cost of the meal before tax is $15.20 and the sales tax rate is 6.5%. To find the amount of sales tax, we can multiply the cost of the meal by the sales tax rate as a decimal.

$15.20 x 0.065 = $0.989

The amount of sales tax is $0.989.

To find the total cost of the meal, we can add the amount of sales tax to the cost of the meal before tax.

$15.20 + $0.989 = $16.189

Hence, The total cost of the meal was $16.189.

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Answer:

- 8i

Step-by-step explanation:

the Fundamental theorem of algebra states that

A polynomial of degree n has n roots, some may be complex

• Complex roots occur as conjugate pairs

For this polynomial of degree 4, there are 4 zeros

given 8i , 6 , - 6 , then the fourth root is the conjugate of 8i , that is - 8i

Answer:

2^845 is greater than 5^362.

Step-by-step explanation:

To compare the two numbers, we can evaluate them using the logarithm function with base 2 and base 5 respectively.

2^845 = 2^(845 * log2(2)) = 2^(845 * 1) = 2^845

5^362 = 5^(362 * log5(5)) = 5^(362 * 1) = 5^362

The logarithm of a number is the exponent to which the base must be raised to give that number. Since logarithm function is a monotonically increasing function, if we compare log base a of x to log base a of y, logarithm of x is greater than y if x is greater than y.

So 2^845 > 5^362 if 845 > 362 * log5(2)

We can calculate log5(2) = log5(2)/log5(2) = 0.6309

so 845 > 362 * 0.6309

845 > 229.8198

so 845 is greater than 229.8198, therefore 2^845 is greater than 5^362.

Answer:

Step-by-step explanation:

2^845 = 2^5(2^7)^120 = 32(128)^120,

5^362 = 5^2(5^3)^120 = 25(125)^120,

2^845 is bigger.

Answer:

Each coin has 2 outcomes when flipping (it may be head or tail), so the possibility to flip head is equal to possibility to flip tail and is .

If you are flipping three times, then using the product rule you can conclude that the possibility to get three heads is equal to possibility to get three tails and is:

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The function to represent the scenario is f(x) = 56 - 8x, where x is the number of sips Anna takes.

b) Anna can take 7 sips before she needs to refill.

c)

The graph of the function is given below:

\begin{center}

\begin{tikzpicture}

\begin{axis}[

   axis lines = left,

   xlabel = $x$,

   ylabel = {$f(x)$},

   ymin = 0,

   ymax = 56,

   xtick = {0,1,2,3,4,5,6,7},

   ytick = {0,8,16,24,32,40,48,56}

]

\addplot[

   domain=0:7,

   samples=2,

   color=black,

]

{56 - 8*x};

\end{axis}

\end{tikzpicture}

\end{center}

d) The domain of the function in set notation is {0,1,2,3,4,5,6,7}.

a carnival game offers a 100 cash prize for anyone whjo can break a balloon by throwing a dart at it. then The expected number of darts you'll throw is 3.44 darts .

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Expected = ∑ value * probability

= $1*0.01 + 2.(0.09) + 3(0.081) + 4(0.0729)

= 3.44

Thus, 3.44 darts .

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The graph of 2x + 3y = 1470 have a y intercept of 490

An equation is a expression that shows the relationship between numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let x represent the number of sandwich and y represent the number of wraps.

The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. Hence:

2x + 3y = 1470

The graph is attached

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The real eigenvalues of the given matrix, once it has been diagonalized, are presented to its right as D = (7 0 0, 0 11 0, 0 0 11).

Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. matrix, a collection of numbers lined up in rows and columns to create a rectangular array.  In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics. It is so named because there is just one row, and a row matrix has the order 1 n as a result.

given

Eigen values ( λ )

| A - λI | = 0

=  ( 7 - λ ) ( 11 - λ ) ( 11 - λ ) =0

= λ = 7 , 11 , 11

eigen vector for λ = 7

( A - IB ) X = 0

= Let y = 1 , n1 = ( -1  1  0 )

eigen vector for λ = 11

( A - λI ) X = 0

n2 = ( 0 1 0 ) let n3= ( -2 0 1 )

D = ( 7 0 0 ,  0 11 0 , 0 0 11 )

The real eigenvalues of the given matrix, once it has been diagonalized, are presented to its right as D = (7 0 0, 0 11 0, 0 0 11).

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Answer: It is not possible to determine whether rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin just by looking at the statement provided.

A dilation is a transformation that changes the size of a shape but not its shape or orientation. In a dilation, the center of dilation is a fixed point and all other points move away from or towards it by a scale factor.

The statement provided does not include any information about the scale factor, the coordinates or measurements of the rectangle's vertices or any other information that would allow to determine if EFGH is the result of a dilation of ABCD. The statement only indicates that the center of dilation is at the origin.

In order to determine if rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin, we would need additional information such as the scale factor, the coordinates or measurements of the rectangle's vertices, and the direction of dilation (enlargement or reduction)

It's worth noting that a dilation with center of dilation at origin can be performed only if the shape is symmetric.

Step-by-step explanation:

The perimeter of the figure is 58 feet if the missing side length is 10 feet.

Perimeter is defined as the length of the circumference or outline of the geometry. This means that is the sum of the all the external side lengths of an image or figure.

From the two-dimensional geometry in the attached image, we see the dimensions as;

The missing side length = 15 - 5 = 10 ft

Therefore, we will add all the external lengths to get the perimeter as;

Perimeter of the figure = 5 + 7 + 10 + 10 + 15 + 11

= 58 feet

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there you go

to solve it you flip the equation to 15x+3=y

then add -3 to both sides and you get 15x=y-3 then divide both sides by 15 and you get x=1/15y+-1/15