I need help with an expression that can be used to convert 109 inch into meters.

The true statement about the two triangles is ΔDEF is not congruent to ΔTUV because ΔTUV cannot be mapped to ΔDEF by a single rotation, translation, or reflection. (option a).

Triangles are fundamental shapes in geometry that play a crucial role in various mathematical concepts.

When studying triangles, it is essential to understand their properties, such as congruence and similarity, and how they can be transformed through translations, rotations, and reflections. In this context, we can analyze the given statements about two triangles ADEF and ATUV.

The first statement says that ΔDEF is not congruent to ΔTUV because ΔTUV cannot be mapped to ΔDEF by a single rotation, translation, or reflection. Congruent triangles have the same size and shape, and can be transformed into one another through a combination of rotations, translations, and reflections.

Therefore, if ΔTUV cannot be transformed into ΔDEF through a single transformation, then they cannot be congruent. Hence, this statement is true.

Hence the correct option is (a).

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Answer:22,000

Explanation:

21.933=21.930

21.930= 21.900

21.900 = 22,000

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:

27

Step-by-step explanation:

20=v-7

v=20+7

v=27

Hence, v equals to 27

\(\huge\mathbb\purple{EXPLAIN}\)

\(20 = v - 7\)

\(v = 20 + 7 = 27\)

Answer:

x=1.49

Step-by-step explanation:

1.8x-4.41=-1.728

1.8x=2.682

\(\frac{1.8x}{1.8} =\frac{2.682}{1.8}\)

x=1.49

Answer:

your can try to measure and find out where the y and x go

Step-by-step explanation:

We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.

The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.

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After 53 hours, approximately 39.4 mg of the substance will remain.

We can use the formula for exponential decay to solve this problem. Let A be the initial amount of the substance, t be the time elapsed, k be the decay constant, and N be the amount of substance remaining after time t. Then we have:

\(N=Ae^{-kt\)

We are given that the initial amount of the substance is 120 mg, and that after 33 hours, 60 mg of the substance remains. Using this information, we can write:

\(60 = 120e^{-33k}\)

\(e^{-33k}=\frac{1}{2}\)

Taking the natural logarithm of both sides, we get:

-33k = ln(1/2)

k = ln(2)/33

Now we can use this value of k to find the amount of substance remaining after 53 hours. We have:

\(60 = 120e^{-53\frac{ln(2)}{33} }\)

= 39.4

Therefore, after 53 hours, approximately 39.4 mg of the substance will remain.

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Answer:

68.

Step-by-step explanation:

We have adjacent and hypotenuse given.

So, cosФ= adj/hpt

cos inverse=3/8

Ф=67.97=68.

If you take two steps of different sizes, it is possible to end up at your starting point depending on the directions and magnitudes of the steps. For example, if you take a step forward and then take a step backward of equal magnitude, you would end up at your starting point.

More generally, two vectors with different magnitudes can add up to zero if they have opposite directions and their magnitudes are equal. This means that the vector representing the larger step cancels out the vector representing the smaller step. For example, if you have a vector of magnitude 5 pointing to the right and a vector of magnitude 5 pointing to the left, their sum would be zero.

In the case of three or more vectors, it is also possible for their sum to be zero if the vectors form a closed polygon or a closed loop. This means that the vectors are arranged in a way that their magnitudes and directions cancel each other out when added together. However, not all combinations of three or more vectors will result in a sum of zero. It depends on the specific magnitudes and directions of the vectors.

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Answer:

x = 20, y = 110

Step-by-step explanation:

For x:

\(5x + 45 + 3x - 25 = 180\\8x + 20 = 180\\8x = 160\\x = 20\)

For y:

\(y + 2x - 5 + 3x - 25 = 180\\y + 2(20) - 5 + 3(20) - 25 = 180\\y + 40 - 5 + 60 - 25 = 180\\y + 35 + 35 = 180\\y + 70 = 180\\y = 110\)

Answer: I = $ 160,000.00

Step-by-step explanation:

The variance of the given data set is 8.49 and the standard deviation is 2.91.

To calculate the variance and standard deviation, follow these steps:

1. Find the mean (average) of the data set:

  Sum all the numbers: 10 + 16 + 12 + 15 + 9 + 16 + 10 + 17 + 12 + 15 = 132

  Divide the sum by the number of values: 132 / 10 = 13.2

2. Find the squared difference for each value:

  Subtract the mean from each value and square the result. Let's call this squared difference x².

  For example, for the first value (10), the squared difference would be (10 - 13.2)² = 10.24.

3. Find the sum of all the squared differences:

  Add up all the squared differences calculated in the previous step.

4. Calculate the variance:

  Divide the sum of squared differences by the number of values in the data set.

  Variance = Sum of squared differences / Number of values

5. Calculate the standard deviation:

  Take the square root of the variance.

  Standard deviation = √Variance

In this case, the variance is 8.49 and the standard deviation is 2.91, both rounded to 2 decimal places.

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Answer:

\(-2\)

Step-by-step explanation:

When \(C=-2\), the variable \(x\) will be removed from the equation (\(2x-2x=0\)). Therefore, we are left with \(-16\neq 16\). Thus, when \(C=-2\), the given equation has no solutions.

Answer:

Step-by-step explanation:

(i) a^a + b^b

for a=3 and b= -2

3^3 + -2^(-2)

          -2^(-2) = -(1/2^2)

3^3  -(1/2^2)

27 - (1/4)

26 3/4

ii) a^b + b^a

a^b + b^a

for a=3 and b= -2

3^(-2) + (-2)^3

1/3^2 + (-2)(-2)(-2)

1/9 - 8

-7 8/9

Answer:

answer is 10.36

Step-by-step explanation:

Answer:

answer 10.36 i know that ik did it

Answer:

Everything is being timesed by 6 So 6/1?

Step-by-step explanation:

To find the probability that a randomly selected trainee earns less than $720 per week (Pr(X ≤ 720)), we can use the standard normal distribution.

First, we need to standardize the value of $720 using the z-score formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, x = $720, μ = $880, and σ = $120.

z = (720 - 880) / 120 = -1.333

Next, we can use the standard normal distribution table or a calculator to find the cumulative probability associated with the z-score of -1.333.

Pr(Z ≤ -1.333) is the probability that a standard normal random variable is less than or equal to -1.333.

Using a standard normal distribution table or calculator, we find that Pr(Z ≤ -1.333) is approximately 0.0918.

Therefore, the probability that a randomly selected trainee earns less than $720 per week is approximately 0.0918 or 9.18%.

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Answer:

10

Step-by-step explanation:

by Pythagoras theorem,

PR^2=PQ^2+PR^2

Therefore,PR=√(PQ^2+PR^2)

=√(6^2+8^2)

=√100

=10

Answer:

1.8333

Step-by-step explanation:

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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Answer:

1. binomial

2. trinomial

3. binomial

4. monomial

5. monomial

6. trinomial

monomial has only a single value, binomial two and trinomial three values.

Answer:

Step-by-step explanation:

a) In an inverse proportion, as one variable increases, the other variable decreases in a way that their product remains constant.

The correct graph for an inverse proportion would show a curve that approaches the x-axis but never touches it. This curve represents the decreasing relationship between y and x.

b) To find the value of y when x = 4, we can use the given information.

Given:

y is inversely proportional to x

When x = 2, y = 1/2

In an inverse proportion, we can write the equation as:

y = k/x

To find the constant of proportionality (k), we can substitute the values (x, y) = (2, 1/2) into the equation:

1/2 = k/2

k = 1

Now that we have the value of k, we can use it to find y when x = 4:

y = k/x

y = 1/4

Therefore, when x = 4, y = 1/4.

An inverse of a modulo m for a = 55, m = 89 using the Euclidean algorithm is 34.

In order to find an inverse of a modulo for each of the following pairs of relatively prime integers using the Euclidean algorithm can be found by:

Using the Euclidean algorithm to find the greatest common divisor (gcd) of a and m. In this case, we have:

89 = 1 x 55 + 34

The gcd of 55 and 89 is 1.

Using the extended Euclidean algorithm, work backwards up the chain of remainders to express 1 as a linear combination of a and m. In this case, we have: 34 x 55 - 21 x 89

   The coefficient of a in the expression from step 3 is the inverse of a modulo m. In this case, the inverse of 55 modulo 89 is 34.

To verify that the inverse is correct, multiply a and its inverse modulo m. The product should be congruent to 1 modulo m. In this case, we have:

   55 x 34 = 1870

   11 = 1 x 11 + 0

Since the remainder is 0, we know that 55 x 34 is a multiple of 89, so it is congruent to 0 modulo 89. Therefore, we have:

55 x 34 ≡ 0 |89|

Adding 89 to the left-hand side repeatedly until we get a number that is congruent to 1 modulo 89, we find:

55 x 34 ≡ 0 + 89 x 7 ≡ 1 |89|

Therefore, the inverse of 55 modulo 89 is indeed 34.

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The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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Answer:

last one

Step-by-step explanation:

Answer: use a picture math thing

Step-by-step explanation:0.0038 x 105=0.399 so move the decimal point over 1 then it should look like 0.038 x 10.5=0.399 then repeat.