a triangle has 3 angles the first angle is 40 degrees less then the second sngle and the the first angle is 50 less than then the third angle

The expressions "5yA," "Y+Y+Y+Y+YB," "YxYxYxYxYC," and "Y(5)D" are not equivalent to "Y(1+1+1+1+1)." The latter expression represents the multiplication of "Y" by the sum of five "1"s, while the former expressions involve different operations or arrangements of "Y" and other characters.

The expression "5yA" does not have a clear meaning without additional context. It could be a combination of the number 5, the variable "y," and the letter "A," but it lacks an operation or defined relationship between these elements.

The expression "Y+Y+Y+Y+YB" represents the addition of five instances of "Y" and the letter "B." It does not involve multiplication or a sum of "1"s, making it different from "Y(1+1+1+1+1)."  

The expression "YxYxYxYxYC" suggests repeated multiplication of "Y" and "C." It does not involve the sum of "1"s, nor does it match the arrangement of elements in "Y(1+1+1+1+1)."

Lastly, "Y(5)D" represents the product of "Y" and "D" multiplied by 5. This expression does not include the sum of "1"s and has a different structure compared to "Y(1+1+1+1+1)."

In summary, the expressions "5yA," "Y+Y+Y+Y+YB," "YxYxYxYxYC," and "Y(5)D" are not equivalent to "Y(1+1+1+1+1)" as they involve different operations, arrangements, or elements altogether.

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To create a 40 L solution with a 45% acid concentration, a chemist combines a 25% acid solution and a 50% acid solution. Therefore, the chemist used 32 L of the 50% acid solution and (40 - 32) = 8 L of the 25% acid solution to create the 40 L solution with a 45% acid concentration.

Let's assume the chemist uses "x" liters of the 50% acid solution. Since the total volume of the mixture is 40 L, the remaining volume will be (40 - x) liters of the 25% acid solution.

The acid content in the 50% solution is 0.5x, while the acid content in the 25% solution is 0.25(40 - x).

To find the acid content in the final 45% solution, we multiply the acid concentration (0.45) by the total volume (40):

0.45 * 40 = 0.5x + 0.25(40 - x)

Simplifying the equation:

18 = 0.5x + 10 - 0.25x

Combining like terms:

0.25x = 8

Dividing both sides by 0.25:

x = 32

Therefore, the chemist used 32 L of the 50% acid solution and (40 - 32) = 8 L of the 25% acid solution to create the 40 L solution with a 45% acid concentration.

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Jessie made a mistake in Step 1 of solving the equation. The correct equation should be 5b + 9 = 111 instead of 5b + 9 = 11.

In Step 1, Jessie mistakenly wrote the right-hand side of the equation as 11 instead of 111. The correct equation should be 5b + 9 = 111, not 5b + 9 = 11. This error occurred in the process of trying to isolate the variable b by subtracting 9 from both sides of the equation.

Step 2, where Jessie obtained 5b = 3, is correct. However, the mistake in Step 1 led to an incorrect starting point, which affected the subsequent steps.

Therefore, the correct answer is Choice A: Jessie made a mistake in Step 1.

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the value of n remains indeterminate in this case.To find the value of n in the expression (y^20)(y^-5)^2i equivalent to yn, we can simplify the expression first.

Starting with (y^20)(y^-5)^2i, we can simplify the exponent by multiplying the exponents of y:
(y^20)(y^-5)^2i = y^(20 + (-5 * 2))i = y^(20 + (-10))i = y^10i.

Now, we can equate this simplified expression to yn:
y^10i = yn.

To find the value of n, we can compare the exponents:
10i = n.

Since the imaginary unit i represents the square root of -1, and the exponent in this case is not purely real, we cannot find a specific value for n. Therefore, the value of n remains indeterminate in this case.

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PS and PC are both equal to 16000 feet when SC is 24000 feet. These lengths are determined based on the relationship between the centroid and the midpoints of the sides in a triangle.

In a triangular park, with point P as the centroid, if SC (one of the sides) is equal to 24000 feet, the lengths of PS and PC can be determined.

To find the lengths of PS and PC, we need to consider the properties of a centroid in a triangle. The centroid divides each median into two segments, with the ratio of 2:1.

In other words, the distance from the centroid to the midpoint of a side is two-thirds of the length of the entire median.

In this case, since SC is equal to 24000 feet, PS and PC can be calculated as follows:

PS = (2/3) * SC = (2/3) * 24000 = 16000 feet.

PC = (2/3) * SC = (2/3) * 24000 = 16000 feet.

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Therefore, the total cost of the knives is $50.

Arithmetic is the fundamental of mathematics that includes the operations of numbers. These operations are addition, subtraction, multiplication and division. Arithmetic is one of the important branches of mathematics, that lays the foundation of the subject 'Maths', for students.

The total cost of the knives is $50.

What is being offered in the television ad?

A set of knives is being offered in the television ad. The knives are being sold for $20 down and $5 a month for six months.How to determine the total cost of the knives?To calculate the total cost of the knives, we will use the formula:

Total cost = Down payment + Monthly payment × Number of monthsTotal cost

= $20 + $5 × 6 = $20 + $30

= $50

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The withdrawal fee of R100.00 is 2% of the transaction amount of R5,000.00.

To calculate the percentage that the withdrawal fee is of the transaction amount, we need to determine the fee amount and then express it as a percentage of the transaction amount.

Let's assume that the withdrawal fee is 2% of the transaction amount. To calculate the fee amount, we multiply the transaction amount by the fee percentage:

Fee Amount = 2% of R5,000.00

= 0.02 * R5,000.00

= R100.00

Therefore, the withdrawal fee is R100.00.

To calculate the percentage of R5000.00, we can divide the fee amount by the transaction amount and then multiply by 100 to express it as a percentage:

Percentage = (Fee Amount / Transaction Amount) * 100

= (R100.00 / R5000.00) * 100

= 2%

Hence, the withdrawal fee of R100.00 is 2% of the transaction amount of R5,000.00.

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The dimensions of the bedroom in the blueprint are approximately 1/9 ft by 1/12 ft.

To find the dimensions of the bedroom in the blueprint, we can use the given scale of 1/4 in = 3 ft.

First, let's convert the dimensions of the actual bedroom into feet:

Length of the actual bedroom = 16 in * (1 ft / 12 in) = 16/12 ft = 4/3 ft

Width of the actual bedroom = 12 in * (1 ft / 12 in) = 12/12 ft = 1 ft

Now, let's use the scale to find the dimensions of the bedroom in the blueprint:

Length of the bedroom in the blueprint = Length of the actual bedroom * Scale

Length of the bedroom in the blueprint = (4/3 ft) * (1/4 in / 3 ft)

Length of the bedroom in the blueprint = 4/3 * 1/12

Length of the bedroom in the blueprint = 4/36

Length of the bedroom in the blueprint = 1/9 ft

Width of the bedroom in the blueprint = Width of the actual bedroom * Scale

Width of the bedroom in the blueprint = (1 ft) * (1/4 in / 3 ft)

Width of the bedroom in the blueprint = 1 * 1/12

Width of the bedroom in the blueprint = 1/12 ft

Therefore, the dimensions of the bedroom in the blueprint are approximately 1/9 ft by 1/12 ft.

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John recorded 5 heads and flipped a coin 9 times. The ratio of heads to tails recorded by John is 5:4.

John flipped a coin 9 times and recorded 5 heads. To determine the ratio of heads to tails, we need to compare the number of heads to the number of tails. Since John recorded 5 heads, the remaining flips would be tails.

Therefore, the number of tails recorded would be 9 - 5 = 4. The ratio of heads to tails recorded by John is thus 5:4, which means for every 5 heads, there were 4 tails. This ratio represents the relative frequency of heads and tails in John's coin flips.

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Option B : Locate its manufacturing plant at the raw material site.

Given,

Weight losing raw material to manufacture its finished products .

Here,

Weight loss raw materials are those which loses their weight while production  sugar, iron and steel, and aluminum that lose weight during production.

For example we can take the industries that require minerals for their production works .

Another example is of sugar industry which require weight losing raw material .

Thus the correct option will be B .

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Emily can walk 3/4 of a mile in 1/4 of an hour. At the same rate, time taken to walk 1 mile =1/3 of an hour.

Mathematical representation

We know that, Emily can walk 3/4 of a mile in 1/4 of an hour.

Meaning,

Time taken to walk 3/4 of a mile = 1/4 of an hour

Distance covered = 3/4 mile

We need to find the time taken by Emily to walk 1 mile.

The rate is defined as the distance covered in unit time. So,

                        Rate = Distance / Time

We know that Rate of Emily = 3/4 ÷ 1/4

                                              = 3/4 × 4/1

                                              = 3 miles/hour

The rate of walking is 3 miles/hour.

Now we can find the time taken to walk 1 mile using rate formula.

             Distance = Rate × Time

We have to walk 1 mile and the rate of walking is 3 miles/hour.

             Time = Distance / Rate

Time taken to walk 1 mile = 1 / 3 = 1/3 hour.

So, the answer is option C.

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The surface area of a sphere is 4πr2, where r is the radius of the sphere. The cost of a sphere is 2 per square foot, so the cost of a sphere with radius r is 8πr2. Selim can spend 20 per sphere, so he can purchase a sphere with radius r such that 8πr2≤20. This inequality can be solved for r to get r≤8π20​​=2π5​​. The diameter of a sphere is 2r, so the maximum diameter of the spheres Selim can purchase is 22π5​​=10π​≈3.162 feet.

Zoë has 2 times as much money as her brother now. Answer: Zoë has twice as much money as her brother.

Let's find out how much money Zoë had to begin with if she spent 1/3 of her money on a new CD player.Suppose Zoë's brother had $x. Since Zoë had 3 times as much money as her brother, she had $3x to begin with.She spent 1/3 of her money on a new CD player.1/3 of $3x = $xZoë now has $2x remaining after buying the CD player.Since $2x is twice the amount of money her brother has ($x), Zoë has twice as much money as her brother after buying the CD player.

Therefore, Zoë has 2 times as much money as her brother now. Answer: Zoë has twice as much money as her brother.

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The correct answer is D. No; the correct distance is 1 1/12 miles, because 1/4 + 2/3 = 4/12 + 8/12 = 12/12 = 1 1/12.

To solve this problem, we first need to convert the mixed numbers to fractions. 1 4 = 4 12 and 2 3 = 8 12. Then, we can add the fractions together. 4 12 + 8 12 = 12 12 = 1 1 12.

Therefore, Brandon is incorrect. He walks a total of 1 1/12 miles, not 11 1/2 miles.

The side lengt of the square is approximately 1839 feet.

To find the length in feet of the side of a square with an area of 1.00 acre, we need to convert the acreage to square feet.

Given:

1 acre = 640 acres/mile² (640 acres in a square mile)

1 mile = 5280 feet (conversion factor from miles to feet)

To convert acres to square feet, we can multiply by the conversion factor:

1 acre = 640 acres/mile² * 1 mile² * 5280 feet

Simplifying the units:

1 acre = 640 * 5280 square feet

Now, to find the length of the side of the square, we can take the square root of the area:

Side length = √(1 acre * 640 * 5280 square feet)

Calculating:

Side length ≈ √(1 * 640 * 5280) ≈ √3379200 ≈ 1839.29 feet

Rounding to the nearest foot, the length of the side of the square with an area of 1.00 acre is approximately 1839 feet.

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1. One of the planes parallel to plane WXT is the plane WXY.2. Two segments parallel to VU are AB and CD.3. Two segments parallel to SW are PQ and RS.4. Two segments skew to XY are QR and PS.5.

Two segments skew to VZ are RT and PU.A plane parallel to plane WXT:Consider the following figure below: Here, WX is parallel to YZ. Now, any plane which passes through any of the point, say X and Y, which lie on the line WX and YZ respectively, will be parallel to plane WXT. One of such plane is plane WXY.

Two segments parallel to VU:Segments AB and CD are parallel to VU in the following figure below:Two segments parallel to SW:Segments PQ and RS are parallel to SW in the following figure below:Two segments skew to XY:Segments QR and PS are skew to XY in the following figure below:Two segments skew to VZ:Segments RT and PU are skew to VZ in the following figure below:

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We can conclude that the relationship represented by the given equation is a function. Moreover, the pressure increases as the diver descends below sea level, which is shown by the positive slope (0.445) of the equation.

The equation y = 0.445x + 14.7 represents a situation where a diver descends below sea level. This equation gives the pressure (y) of the water at a depth of x feet below sea level. Here, y is dependent on x. It means that the pressure at a given depth is dependent on that particular depth. Therefore, we can say that the given equation represents a function because for each value of x, there is only one corresponding value of y.

A function is defined as a relation that maps each input value (x) to exactly one output value (y). In other words, it is a set of ordered pairs (x, y), where each value of x is paired with a unique value of y. The equation given above satisfies this definition of a function because it represents a one-to-one relationship between the depth (x) and the pressure (y) of the water.

Therefore, we can conclude that the relationship represented by the given equation is a function. Moreover, the pressure increases as the diver descends below sea level, which is shown by the positive slope (0.445) of the equation.

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When working together, it will take Angela and Brandon about 3 hours and 12 minutes to paint the school rock.

The answer is 3

Let's first assume that Angela can paint the school rock in x hours, then Brandon would be able to paint the school rock in y hours.Angela’s work rate: \frac{1}{x} of the rock per hour .

So, Angela’s work rate = [tex]$\frac{1}{5.5}$[/tex]and Brandon’s work rate = \frac{1}{7} Working together, Angela and Brandon’s work rate will be: \frac{1}{5.5} + \frac{1}{7} of the rock per hour [tex]$\frac{1}{5.5} + \frac{1}{7}$ = $\frac{0.1818 + 0.1429}{1}$ = $\frac{0.3247}{1}$[/tex] Working together, they will paint the rock in \frac{1}{0.3247} hours = 3.08 hours. Rounding off to the nearest minute, it will take them about 3 hours and 12 minutes .

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Therefore, the value that needs to be added to (-5)/8 in order to get 5/9 is -5/72.

To get 5/9, what number should be added to (-5)/8?

We can begin the solution by adding "x" to (-5)/8. Then, we will have:((-5)/8) + x = 5/9

The next step is to isolate the variable x, which is accomplished by subtracting (-5)/8 from both sides. The equation becomes:(-5/8) + (5/9) = x

We'll need to find a common denominator for this expression:

((-45)/72) + (40/72) = xSimplifying, we get:

((-45) + 40)/72 = x(-5)/72 = x

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The polynomial for the perimeter of the rectangle can be expressed as P(n) = 2(2n+8) + 2(n-7), which simplifies to P(n) = 4n + 16 + 2n - 14.

Combining like terms, we get P(n) = 6n + 2. Therefore, the polynomial in standard form for the perimeter of the rectangle is P(n) = 6n + 2.

To find the perimeter of the rectangle, we need to add up the lengths of all four sides. The length of the rectangle is represented by 2n+8, so we have 2 sides of length (2n+8). The width of the rectangle is represented by n-7, so we have 2 sides of length (n-7). To calculate the perimeter, we add up the lengths of all four sides: (2n+8) + (2n+8) + (n-7) + (n-7). Simplifying this expression, we get 6n + 2, which is the polynomial in standard form for the perimeter of the rectangle.

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The mean rainfall for the highland storms is 15.27 millimeters, and the mean rainfall for the lowland storms is 12.05 millimeters.

In the dot plots, each dot represents the rainfall total for a spring storm in either the highland or lowland areas. To find the mean rainfall, we calculate the average of all the rainfall values in each plot.

For the highland storms, the mean is 15.27 millimeters, which indicates that, on average, the rainfall for the spring storms in the highland areas is 15.27 millimeters.

For the lowland storms, the mean is 12.05 millimeters, suggesting that the average rainfall for the spring storms in the lowland areas is 12.05 millimeters.

These values provide a measure of the central tendency or average rainfall for the respective areas and can help in comparing the rainfall patterns between the highlands and lowlands.

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The coefficient is:

Work/explanation:

To find the coefficient of m, we will take a look at the number that comes in front of m.

That number is 9. Hence, that's the coefficient.

Extra info

The length of the diameter of the circle in this problem is given as follows:

20 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The equation for this problem is given as follows:

(x + 3)² + (y - 4)² = 100.

Hence the measure of the radius is given as follows:

r = 10 units.

The diameter has a measure which is twice the radius, hence:

d = 2 x 10

d = 20 units.

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The equation of the asymptote for function f(x) is y = 0.

The equation of the asymptote for function g(x) is x = a, where a is a constant.

The equation of the asymptote for function h(x) is y = mx + b, where m and b are constants.

For function f(x), the asymptote is y = 0 since the function approaches zero as x approaches positive or negative infinity.

For function g(x), the asymptote is a vertical line at x = a. This occurs when the function approaches a specific x-value but does not cross it.

For function h(x), the asymptote is a straight line represented by y = mx + b. This occurs when the function approaches a linear relationship as x approaches positive or negative infinity. The values of m and b depend on the slope and y-intercept of the asymptote, respectively.

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Based on the information, the probability is 1/144, or approximately 0.0069.

Each number cube has 12 possible outcomes, as there are 12 faces labeled from 1 to 12.

The probability of rolling an 11 on one number cube is 1 out of 12, as there is only one face labeled 11 out of the 12 possible outcomes.

Since the two number cubes are rolled simultaneously, the total number of possible outcomes is the product of the possible outcomes for each cube, which is 12 * 12 = 144.

The number of favorable outcomes, in this case, is 1, as both number cubes need to show 11.

Therefore, the probability that both number cubes land with the number 11 facing up in one roll is:

Number of favorable outcomes / Total number of possible outcomes

= 1 / 144

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The formula of height h = (3v) / (π * r^2)To find the height (h) of a cone given the volume (v) and the radius of the base (r), we can rearrange the equation v = (π * r^2 * h) / 3.

By multiplying both sides by 3 and dividing by π * r^2, we isolate the variable h and obtain the formula h = (3v) / (π * r^2). Substituting the appropriate values for volume and radius into this equation allows us to calculate the height of the cone.

To solve for the height (h) in the equation v = (π * r^2 * h) / 3, we first multiply both sides by 3 to eliminate the fraction. This results in the equation 3v = π * r^2 * h. Next, we isolate the variable h by dividing both sides of the equation by π * r^2, giving us the formula h = (3v) / (π * r^2). By substituting the known values for volume (v) and radius (r) into this equation, we can calculate the height (h) of the cone. It is important to ensure that the units for volume and radius are consistent and compatible to obtain the correct result.

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The polynomial represented by the algebra tiles is: x - 4

Given algebra tile configuration:

3 large tiles, 5 tiles each half the size of a large tile, and 8 tiles each one-quarter the size of a large tile.

Two of the large tiles are labeled plus x squared and 1 is labeled negative x square. Two smaller tiles are labeled plus x and 3 are labeled negative x. Six of the smallest tiles are labeled + and 2 are labeled minus.

In order to find the polynomial represented by the algebra tiles, let us consider the number of positive and negative tiles.

Polynomials represented by the algebra tiles:

There are 2 large tiles labeled as x² and a single large tile labeled as -x²

Hence, the net contribution from these 3 large tiles is equal to

+ x² + (-x²) = 0

Now, let's look at the smaller tiles, there are two tiles labeled +x and three tiles labeled -x.

Therefore, the net contribution from these tiles is equal to

2x + (-3x) = -x

Similarly, six smallest tiles are labeled as positive and two are labeled as negative, thus the net contribution from the smallest tiles is equal to 6 - 2 = 4

Hence, the polynomial represented by the algebra tiles is:

x - 4

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The table that best shows the conditional relative-frequency of rows for the data is the fourth option for A school for learning foreign languages has 72 students who learn German, and 54 of those students also learn Russian. There are 12 students who do not learn German but learn Russian, and 10 students do not learn either German or Russian using data-handling.

Given data, 72 students learn German

54 students learn Russian and German

12 students learn Russian but not German

10 students learn neither Russian nor German.

Therefore, The total number of students in the school is 72 + 10 = 82.

Let's fill the table:Learn German Do not learn German Total Learn Russian 54     12      66

Do not learn Russian 18    10     28

Total 72    22     82

Now, we can find the conditional relative frequency of rows as follows:

For students who learn Russian:0.82 = 66/81.00 = 1For students who do not learn Russian:0.64 = 18/28 0.36 = 10/28 1For students who learn German:0.54 = 54/1.00 = 1For students who do not learn German:0.12 = 12/28 0.88 = 22/28 1Thus, the fourth option shows the conditional relative frequency of rows for the given data.

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The answer is "The length of the longest side is 6x² - 12x + 16. Here, the total perimeter is given as LaTeX: 16x² + 21x + 16.

As there are five sides, we can express the total perimeter as the sum of all the five sides. Let the length of the longest side be 'l'.

So, the total perimeter is equal to the sum of all five sides, which can be expressed as:  

3x + 8 + 2x² + 4x + 2x² + 2x + 5x² + 3x + 2 + l16x + 21x + 16

= 10x + 9x + l.                                                                                        

Now, we can find the length of the longest side by simplifying the above equation and solving for 'l'.

16x² + 21x + 16 = 10x² + 9x + l

l = 6x² - 12x + 16

Therefore, the length of the longest side is 6x² - 12x + 16.

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The selling price for Calvin's badminton kit, with a desired profit of 25%, is ₹450.

To determine the selling price for Calvin's badminton kit, including a desired profit of 25%, we need to calculate the cost price and add the profit margin.

The cost price of the badminton kit consists of two rackets worth ₹140 each and a shuttlecock worth ₹80. Let's calculate the total cost price:

Cost Price = (2 * ₹140) + ₹80 = ₹280 + ₹80 = ₹360

To find the selling price with a 25% profit margin, we need to add 25% of the cost price to the cost price:

Profit = 25% of ₹360 = (25/100) * ₹360 = ₹90

Selling Price = Cost Price + Profit = ₹360 + ₹90 = ₹450

Therefore, the selling price for Calvin's badminton kit, with a desired profit of 25%, is ₹450.

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