Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 6 yd, 10 yd, and 8 yd
False, these measures do not form a right triangle.
True, these measures do form a right triangle.

The statement "x ∈ {x}" is true. The statement "{x} ⊆ {x}" is true. The statement "{x} ∈ {x}" is false. The statement "{x} ∈ {{x}}" is true.

a) The statement is true because an element x can be a member of a set that contains only itself. In this case, the set {x} contains the element x.

b) The statement is true because every element in {x} is also in {x}. Since both sets are identical, {x} is a subset of itself.

c) The statement is false because a set cannot be an element of itself. In this case, {x} is a set, and it cannot be an element of the same set.

d) The statement is true because the set {{x}} contains the set {x} as its only element. Therefore, {x} is an element of the set {{x}}.

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The cost of one burger is $2.10 and the cost of one taco is $0.90.

Let's assume the cost of one burger is denoted by 'b' and the cost of one taco is denoted by 't'.

From the given information, we can set up the following system of equations:

Equation 1: 4b + 4t = 12

Equation 2: 7b + 2t = 16.50

We can solve this system of equations to find the cost of one burger and one taco.

Multiplying Equation 1 by 7 and Equation 2 by 4 to eliminate 't', we get:

28b + 28t = 84

28b + 8t = 66

Subtracting the second equation from the first equation, we have:

(28b + 28t) - (28b + 8t) = 84 - 66

20t = 18

t = 18/20

t = 0.9

Substituting the value of 't' into Equation 1:

4b + 4(0.9) = 12

4b + 3.6 = 12

4b = 12 - 3.6

4b = 8.4

b = 8.4/4

b = 2.1

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Answer:

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

Since both points have same y-coordinate, the distance between the points is the difference of x-coordinates:

The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

Either B or D, but D says war between two countries so Yeah

Answer:

I think its d

Step-by-step explanation:

because its two countries

A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

In this question, we have been given the tree heights recorded on a school campus.

A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.

We need to find a correct plot that will present the information in this way.

We know that in bar charts, each bar represents one value(category). And  in a histogram, each bar will represent a continuous data

Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

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Answer:

Step-by-step explanation:

A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram

We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.

The required, D. A study of the popularity of a new sneaker conducted by the sneaker manufacturer is more likely to produce results that are skewed by bias.

This is because the sneaker manufacturer has a vested interest in promoting the new sneaker and may use biased methods to ensure that the study produces favorable results. For example, the manufacturer may selectively sample individuals who are more likely to be interested in the sneaker or use leading questions to bias the responses in favor of the sneaker. In contrast, the other studies listed are less likely to be influenced by bias because they rely on random sampling or objective measurements.

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Answer:

Step-by-step explanation:

To find the total number of parts that will split line segment CD, we first need to find the distance between points C and D using the distance formula:

d(C,D) = sqrt((4 - (-6))^2 + (5 - 0)^2) = sqrt(10^2 + 5^2) = sqrt(125) = 5sqrt(5)

Next, we can use the part-to-part ratio of 3:2 to find the length of the two segments that the point P partitions CD into. Let x be the length of the segment CP and y be the length of the segment PD. Then:

x/y = 3/2

We can also use the distance formula to find the lengths of CP and PD:

d(C,P) = sqrt((0 - (-6))^2 + (3 - 0)^2) = sqrt(6^2 + 3^2) = sqrt(45) = 3sqrt(5)

d(P,D) = sqrt((4 - 0)^2 + (5 - 3)^2) = sqrt(4^2 + 2^2) = sqrt(20) = 2sqrt(5)

Since x:y = 3:2, we can write:

x = (3/5)(x + y)

y = (2/5)(x + y)

Solving this system of equations, we get:

x = 9sqrt(5)/4

y = 3sqrt(5)/4

The total number of parts that CD is split into is:

x/d(C,D) + y/d(C,D) = (9sqrt(5)/4)/(5sqrt(5)) + (3sqrt(5)/4)/(5sqrt(5)) = 12/20 + 6/20 = 18/20 = 9/10

Therefore, the line segment CD is split into 10 parts, and point P partitions it into 3 parts and 7 parts.

So, the traffic lights will change simultaneously at 5:26:00.

To find the time when the traffic lights will change simultaneously, we need to determine the least common multiple (LCM) of the given time intervals.

The time intervals between the changes of the traffic lights are 40 seconds, 72 seconds, and c seconds (the third traffic light's interval is unknown).

To find the LCM, we can start by finding the prime factorization of each interval:

40 = 2^3 * 5

72 = 2^3 * 3^2

To calculate the LCM, we take the highest power of each prime factor that appears in the prime factorizations:

LCM = 2^3 * 3^2 * 5 = 360

Therefore, the traffic lights will change simultaneously every 360 seconds.

To determine the time they will change simultaneously, we add 360 seconds to the initial time of 5:20:00.

5:20:00 + 360 seconds = 5:26:00

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Answer:

Step-by-step explanation:

The solution of inequality is n < - 9

Answer:

$126.33

Step-by-step explanation:

$379/3 = $126.33

Answer:

y is 11. x is 5 n i think it is 10

Step-by-step explanation:

when you subtract just think what number can it be like 3 + x = 5. so here it is 2

hope this helps

Step-by-step explanation:

y-4=7

y=7+4

y=11(ans)

x-5=0

x=0+5=5(ans)

3(n-2)=48

3n-6=48

3n=48+6

n=54/3=18(ans)

the product is 6 3/12

or 6 wholes and 3 over 12  (6\(\frac{3}{12}\))

Answer:

6.25

Step-by-step explanation:

Answer:

49/52

Step-by-step explanation:

Hope I helped GL!

The correct answer is option D. 1 1/2. This would mean that the difference between the medians is 1.5 times larger than the interquartile range for the boys.

The median is a measure of central tendency in a set of data, and it is the value that separates the data into two equal parts, with half of the values falling below it and half of the values falling above it. The interquartile range (IQR) is a measure of dispersion that describes the range of values within the middle 50% of the data.

In this case, the difference between the medians of boys and girls is described as a multiple of the interquartile range for the boys. This multiple would represent how many times larger or smaller the difference between the medians is than the IQR for the boys.

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Under the given conditions of A and B being independent events with positive probability, it is impossible that A and B are disjoint.

If events A and B are disjoint, it means they cannot occur simultaneously. In other words, if event A happens, event B cannot happen, and vice versa. However, since A and B are independent events with positive probability, it implies that the occurrence of one event does not affect the probability of the other event occurring.

In this case, if A and B were disjoint, the independence condition would be violated because the occurrence of one event would guarantee the non-occurrence of the other. But since A and B are independent, it indicates that there is a possibility of both events occurring simultaneously.

Therefore, under the given conditions, it is impossible that A and B are disjoint. They might overlap or occur simultaneously, but their independence suggests that they are not mutually exclusive.

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Answer:

This statement is true for all real numbers and is known as the Commutative Property. It not only applies to multiplication, but to addition as well: a + b = b + a

The other case you mentioned a(b*c) = ab*ac is false.

Step-by-step explanation:

(a) The critical value for a right-tailed test with 12 degrees of freedom at the α=0.01 level of significance is approximately 21.920.

(b) The critical value for a left-tailed test for a sample of size n=27 at the α=0.1 level of significance is approximately -1.314.

(c) The critical values for a two-tailed test for a sample of size n=30 at the α=0.1 level of significance are approximately -1.697 and 1.697.

(a) For a right-tailed test with 12 degrees of freedom at the α=0.01 level of significance, we can consult a t-distribution table or use statistical software to find the critical value. The critical value is approximately 21.920.

(b) For a left-tailed test with a sample size of n=27 at the α=0.1 level of significance, we can similarly consult a t-distribution table or use software to find the critical value. The critical value is approximately -1.314.

(c) For a two-tailed test with a sample size of n=30 at the α=0.1 level of significance, we need to consider both tails of the distribution. Dividing the α level by 2, we get α/2 = 0.1/2 = 0.05. Consulting the t-distribution table or using software, we find the critical values corresponding to this significance level are approximately -1.697 and 1.697.

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Slope of the flights from point A to point B on the curve The slope of flights from point A to point B on the curve is obtained as shown Slope = Change in vertical distance / Change in horizontal distance.

We can determine that the vertical change from point A to point B is 900 km while the horizontal change is 1200 km. In this case, the slope of flights from point A to point B on the curve is 0.75. This implies that for every 1 unit of horizontal change, there is a vertical change of 0.75 units. This may mean charging more for flights that move on a curved path than those that move on a straight path. Therefore, the slope of flights from point A to point B on the curve is:

Slope = Change in vertical distance / Change in horizontal distance

Slope = 900 / 1200

= 0.75.

This will ensure that the airline operators are able to cover their costs and make a profit. From the graph, we can determine that the vertical change from point A to point B is 900 km while the horizontal change is 1200 km. This has an economic implication for airlines that operate flights on this route. It means that there is a higher cost for flights that move from point A to point B on the curve compared to those that move on a straight line. This may mean charging more for flights that move on a curved path than those that move on a straight path. This will ensure that the airline operators are able to cover their costs and make a profit.

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Parameterize C by

r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉

with 0 ≤ t ≤ π. Then the line integral is

\(\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}\)

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Answer:

Step-by-step explanation:

x<-7 or -7<x<7 or x>7

(-infinity, -7) U (-7,7) U (7, infinity)

Answer:

-2f+10+11f

= 9f+10

Step-by-step explanation:

just expand it