Planes S and R both intersect plane T.
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Which statements are true based on the diagram?
Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane
T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y.
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Counting from right to left, find the 68th digit of n is 10.

An integer, is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

The largest integer with exactly 100 digits is the integer that consists of 100 copies of the digit 9.

This integer is equal to 10100 = 10

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The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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The value of this stock, assuming a required return of 10.50%, is approximately $81.90. None of the given options match this value.

To compute the value of the stock, we can use the dividend discount model (DDM) formula. The DDM formula states that the value of a stock is equal to the present value of its future dividends.
Using the formula, we can calculate the present value of the dividends as follows:
PV(dividends) = D1 / (1 + r) + D2 / (1 + r)^2
where D1 is the dividend to be paid next year, D2 is the dividend to be paid in two years, r is the required return.
Given:
D1 = $6.69
D2 = $7.02
r = 10.50% or 0.105

Plugging in these values into the formula:
PV(dividends) = $6.69 / (1 + 0.105) + $7.02 / (1 + 0.105)^2
PV(dividends) = $6.05 + $6.11
PV(dividends) = $12.16
Finally, to compute the value of the stock, we add the present value of the dividends to the future target price of the stock in two years:
Value of stock = PV(dividends) + Future target price
Value of stock = $12.16 + $69.74
Value of stock = $81.90
Therefore, the value of this stock, assuming a required return of 10.50%, is approximately $81.90. None of the given options match this value.

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Answer:

A crest is the highest point of a wave.

A trough is the lowest point of a wave.

Infrasound is sound below the limit that humans can hear, below 20 Hz.

Ultrasound is sound above the limit that humans can hear, above 20,000 Hz.

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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The approximate probability that a randomly chosen 10-year-old is between 60 and 65 inches is 15.58%.

To solve this problem, we need to standardize the values using the z-score formula:

z = (x - μ) / σ

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

In this case, we want to find the probability that a randomly chosen 10-year-old is between 60 and 65 inches, so:

z1 = (60 - 55) / 6 = 0.83

z2 = (65 - 55) / 6 = 1.67

We can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.

P(0.83 < z < 1.67) = P(z < 1.67) - P(z < 0.83)

Using a standard normal distribution table or calculator, we find that P(z < 0.83) = 0.7967 and P(z < 1.67) = 0.9525.

So,

P(0.83 < z < 1.67) = 0.9525 - 0.7967 = 0.1558

Therefore, the approximate probability that a randomly chosen 10-year-old is between 60 and 65 inches is 0.1558, or about 15.58%.

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The probability that the annual cost will be 5 of the mean is 0.0912.

A method used by risk managers to predict upcoming events, like accidental and commercial losses. In order to determine a probability distribution that can be applied to forecast future losses, this procedure involves reviewing historical loss data.

X = Annual cost of medical care for dogs.

X~ Normal (μ = 200, σ = 60)

Sample size n = 16

We know that the sample mean Xbar has a normal distribution with mean = μ and sd = σ/√n

Xbar ~ Normal (μ’ = 200, σ’ = 60/√16 = 15)

Required probability -

P[Average cost of medical care for 16 sampled dogs is > 220]

= P[Xbar > 220]

= P[(Xbar-μ’)/σ’ > (220-200)/15]

= P[Z > 1.3333], Z is a standard normal variable.

= 1 - P[Z < 1.3333]

= 1 - 0.9087, from standard normal table.

= 0.0912

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The complete question is:

A veterinary association claims that the annual cost of medical care for dogs averages $200 with a standard deviation of $60, and for cats averages $240 with a standard deviation of $70. Assume the costs follow a normal distribution. What is the probability the average annual cost of medical care for 16 randomly chosen dogs is greater than $220.

Answer:

I got the mean of A is 6 and the mean of b is 3.5

Step-by-step explanation:

If correct i dont mind brainlest

Answer:

Yes, it is possible.  Hope this helps!

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)  , \(a^{0}\) = 1 , then

\(9^{4}\) × \(9^{-4}\)

= \(9^{(4+(-4))}\)

= \(9^{(4-4)}\)

= \(9^{0}\)

= 1

Answer:

Simon approximately 8.7 years to repay the loan.

Step-by-step explanation:

Answer:

angle B > angle C

Step-by-step explanation:

in the triangle ABC

the side opposite the largest angle is the longest

the side opposite the smallest angle is the shortest

the side opposite angle B is the longest

the side opposite angle A is the shortest

then

angle B > angle C ( since 6 > 4 )

As a supervisor, if some freshmen cadets in your squad are struggling with a particular skill like the "about face,"

A supervisor is a person who oversees the work of others and ensures that tasks are completed efficiently and effectively. They are typically responsible for managing a team of employees and providing guidance and direction to help them achieve their goals.

Supervisors are essential in most industries, including manufacturing, retail, healthcare, education, and many others. They are often responsible for hiring and training new employees, setting performance expectations, and monitoring progress to ensure that goals are met. They may also be responsible for developing work schedules, coordinating team meetings, and handling employee conflicts.

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Answer:

15.41

Step-by-step explanation:

If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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The largest value τ can have for a given value of a = 1/2\(\left| a \right|\). Where the said value is described as τmax.

To arrive at the above conclusion, let:

r(t) = (a cos t) i + (a sin t)j + btk, a, b ≥ 0

⇒ τ = b/(a² + b²)

Given the value of τ above, we have to find τmax for given values of a, so that a is constant.

Hence:

dτ/db = [(a² + b²) * 1 - b (2b)]/ (a² + b²)² = 0

a² + b² - 2b² = 0

a² + b² = 0

a² - b² = 0

a² = b²

Hence, τmax = b/a² + b² = \(\left| a \right|\)/2a²

= 1/ 2\(\left| a \right|\)

Thus, τmax = 1/2\(\left| a \right|\)

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Full Question:

Show That The Torsion Of The Helix

r(T) = (A Cos t)Ii + (A Sin T) J + Btk, A, B ≥ 0

Is τ = B/(A2 + B2).

What Is The Largest Value τ can have for a given value of a?

Answer:

553

Step-by-step explanation:

              5  5    3

     ---------------------

16  /  8   8   4    8

        8   0

      ---------------

              8   4

              8   0

             ----------------

                    4    8

                     4   8

                   -----------

                            0

The quotient is 553.

                     4   8

                    ----------

                           0

Answer: \(5n^2-48n-20=0\)

Step-by-step explanation:

Here are the steps:

\(\frac{n+2}{n-2}- \frac{n-2}{n+2} =\frac{5}{6} \\\frac{(n+2)^2-(n-2)^2}{(n+2)(n-2)} =\frac{5}{6} \\\frac{n^2+4n+4-(n^2-4n+4)}{n^2-4} =\frac{5}{6}\\ \frac{n^2+4n+4-n^2+4n-4}{n^2-4} =\frac{5}{6}\\\frac{8n}{n^2-4} =\frac{5}{6}\\48n=5(n^2-4)\\5n^2-20-48n=0\\5n^2-48n-20=0\)

Answer:

d=100

Step-by-step explanation:

If the triangles are similar, that means that if you were to expand the smaller one, it would be the same size as the bigger one.

18 x 5=90

20 x 5=100

Please let me know if this is correct.

Answer:

37

Step-by-step explanation:

Let's use the rule GEMDAS (Grouping, Exponents, Multiply, Divide, Add, Subtract) from left to right. Therefore, we will simplify the equation in the parentheses. \(2^{3} = 8. (1-8= -7)\). -(-7) creates a double negative, deeming the 7 positive, because when there is two negatives the number will turn into a positive. \(7^{2}\) = 49, -3 x 4= -12. Therefore the final form of the equation will be 49 - 12 = 37.

Let me know if there are mistakes.

Answer:

65

Step-by-step explanation:

It’s 65 because 65+35=100 then u add 80 to get 180

The measure of the third angle in the triangle is 65°. The correct option is B.

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that Triangle P Q R. Angle Q is 80 degrees and angle P is 35 degrees. Triangle W X Y. Angle W is 35 degrees and angle X is 80 degrees.

The third angle will be calculated as:-

Angle = 180 - 80 - 35

Angle = 65

Therefore, the measure of the third angle in the triangle is 65°. The correct option is B.

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Answer: 5

Step-by-step explanation

n*7=7*5

n*7=35

n=35/7

n=5

Answer will be 5 if I have written the question statement alright...it was bit confusing it's 7 point 5 or 7 multiplied By 5...Hope this will help you

transformations

hope it helps you

Answer:

A

Step-by-step explanation:

use slope formula hope this helps

By using linear inequation, it can be calculated that -

Option A and D is true when d is -13

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by

>, <, ≥, ≤

A one degree inequation is known as linear inequation.

Here, four sets of linear inequations are given

For option A

-d - 5 ≥ 5

-d ≥ 5 + 5

-d  ≥ 10

d  ≤ -10

-13 is satisfied here

For option B

d - 5 ≥ -5

d ≥ -5 + 5

d  ≥ 0

-13 is not satisfied here

For option C

-d - 5 ≤ 5

-d ≤ 5 + 5

-d  ≤ 10

d   ≥ -10

-13 is not satisfied here

For option D

d - 5 ≤ -5

d ≤ -5 + 5

d  ≤ 0

-13 is satisfied here

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