16 + 7h = 2 what does that equal too?

(a) The curve defined by the parametric equations x = t^2, y = -1/4t (t > 0) represents a parabolic trajectory, the point of intersection between the curve and the hyperbola is (4∛2, -1/(4∛2)).

To find the points on the curve where the tangent line is parallel to the line y = x, we need to determine when the slope of the tangent line is equal to 1.

The slope of the tangent line is given by dy/dx. Using the chain rule, we can calculate dy/dt and dx/dt as follows:

dy/dt = d/dt(-1/4t) = -1/4

dx/dt = d/dt(\(t^2\)) = 2t

To find when the slope is equal to 1, we equate dy/dt and dx/dt:

-1/4 = 2t

t = -1/8

However, since t > 0 in this case, there are no points on the curve where the tangent line is parallel to y = x.

(b) To determine the points on the curve where it intersects the hyperbola xy = 1, we can substitute the parametric equations into the equation of the hyperbola:

\((t^2)(-1/4t) = 1 \\-1/4t^3 = 1\\t^3 = -4\\\)

Taking the cube root of both sides, we find that t = -∛4. Substituting this value back into the parametric equations, we get:

x = (-∛4)^2 = 4∛2

y = -1/(4∛2)

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The distance north of Helicopter A from helicopter B is 1. 03 km.

The shortest distance between the polar bear and the conservationists is 9.36 km.

To find the distance from Helicopter A to Helicopter B in the north direction, we can use trigonometry. We can create a right triangle with the north direction as one side, the distance between the helicopters as the hypotenuse, and the angle of 122° between them.

Let N be the north distance between A and B. We can use the sine function:

sin(angle) = opposite side / hypotenuse

sin(122°) = N / 1.2 km

Now, solve for N:

N = 1.2 km x sin (122°) = 1.03 km

The polar bear's position is given as 3 km eastward and on a bearing of 104°. To find the shortest distance between the polar bear and the conservationists, we need to consider the right triangle formed by the eastward direction, the north direction, and the distance between the polar bear and the conservationists as the hypotenuse.

Let D be the shortest distance between the polar bear and the conservationists. We can use the cosine function:

cos(angle) = adjacent side / hypotenuse

cos(104°) = 3 km / D

Now, solve for D:

D = 3 km / cos(104°) = 9.36 km

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Answer:

Im pretty sure its 16.64

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C. 300

We need to find the temperature that most resembles with the model

We can easily see the graph if we plot it using a calculator

f(t) = 349.2(0.98)^t

Case a.  0

Zero is only achievable as the cooling time goes to infinity. This is not the case.

Case b.  100

for f = 100,

t ≈ 61.6,

which is out of the values of the table

Not the correct option

Case c.  300

for  f = 300,

t ≈ 7.5,

which is in range with the values of the table

Answer:

CCCCCC

Step-by-step explanation:

Stratified random sampling is a valuable sampling method that improves representativeness, precision, and efficiency in research studies. By accounting for the diversity within a population, it enables researchers to draw accurate conclusions and make valid inferences about different subgroups.

Stratified random sampling is a sampling method used in statistical research to ensure representation from different subgroups or strata within a population. The method involves dividing the population into distinct and homogeneous groups called strata, and then randomly selecting samples from each stratum. Here are the steps involved in stratified random sampling:

Define the Population: Clearly define the population of interest. This could be a large group or population that can be divided into subgroups based on certain characteristics or attributes.

Identify Relevant Strata: Identify and define the strata within the population. Strata should be mutually exclusive and collectively exhaustive, meaning every element in the population should fall into one and only one stratum.

Determine Sample Size: Determine the desired sample size for each stratum based on statistical considerations or prior knowledge.

Randomly Sample within Each Stratum: Randomly select samples from each stratum based on the predetermined sample size. This can be done using various random sampling techniques such as simple random sampling or systematic random sampling.

Collect Data: Collect data from the selected samples within each stratum. Ensure that the data collection process is consistent and accurate.

Analyze Data: Analyze the collected data using appropriate statistical techniques, taking into account the stratification of the sample.

Advantages of Stratified Random Sampling:

Enhanced Representativeness: Stratified random sampling ensures that the sample represents different subgroups or strata within the population. This leads to a more accurate and representative sample, as each stratum is proportionately represented in the sample.

Increased Precision: By dividing the population into strata and sampling from each stratum, stratified random sampling allows for greater precision in estimating population parameters. It ensures that each stratum contributes to the overall analysis, leading to more accurate results.

Efficient Resource Allocation: Stratified random sampling can be more efficient than simple random sampling when certain strata are of particular interest. By allocating resources (such as time, effort, and cost) more effectively within each stratum, the sampling process becomes more efficient.

Ability to Compare Subgroups: Stratified random sampling enables researchers to make valid comparisons between different subgroups within the population. By ensuring representation from each stratum, it becomes possible to assess differences or similarities between subgroups with greater confidence.

Increased Statistical Power: Stratified random sampling can enhance the statistical power of the analysis by providing a sufficient sample size within each stratum. This allows for more robust statistical inference and increases the likelihood of detecting significant relationships or differences.

Overall, stratified random sampling is a valuable sampling method that improves representativeness, precision, and efficiency in research studies. By accounting for the diversity within a population, it enables researchers to draw accurate conclusions and make valid inferences about different subgroups.

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(a) (A, B) = 0, (b) ||A|| = √2, (c) ||B|| = √2, (d) d(A, B) = -1. These values are calculated using the given inner product formula and the matrices A and B.

Let's calculate the required values step by step

To find (A, B), we need to substitute the elements of matrices A and B into the given inner product formula:

(A, B) = 2(a₁₁)(b₁₁) + (a₁₂)(b₁₂) + (a₂₁)(b₂₁) + 2(a₂₂)(b₂₂)

Substituting the values from matrices A and B:

(A, B) = 2(1)(0) + (0)(1) + (0)(1) + 2(1)(0)

= 0 + 0 + 0 + 0

= 0

Therefore, (A, B) = 0.

To find ||A|| (norm of A), we need to calculate the square root of the sum of squares of the elements of A:

||A|| = √((a₁₁)² + (a₁₂)² + (a₂₁)² + (a₂₂)²)

Substituting the values from matrix A:

||A|| = √((1)² + (0)² + (0)² + (1)²)

= √(1 + 0 + 0 + 1)

= √2

Therefore, ||A|| = √2.

To find ||B|| (norm of B), we can follow the same steps as in part (b):

||B|| = √((b₁₁)² + (b₁₂)² + (b₂₁)² + (b₂₂)²)

Substituting the values from matrix B:

||B|| = √((0)² + (1)² + (1)² + (0)²)

= √(0 + 1 + 1 + 0)

= √2

Therefore, ||B|| = √2.

To find d(A, B), we need to calculate the determinant of the product of matrices A and B:

d(A, B) = |AB|

Multiplying matrices A and B:

AB = [10 + 01 11 + 00;

00 + 11 01 + 10]

= \(\left[\begin{array}{cc}0&1&\\1&0\\\end{array}\right]\)

Taking the determinant of AB:

|AB| = (0)(0) - (1)(1)

= -1

Therefore, d(A, B) = -1.

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--The given question is incomplete, the complete question is given below " Use the inner product (A,B) = 2a₁₁b₁₁ + a₁₂b₁₂ + a₂₁b₂₁ + 2a₂₂b₂₂ to find (a) (A, B), (b) ll A ll, (c) ll B ll, and (d) d (A, B) for matrices in M₂,₂

A = [1 0; 0 1]

B = [0 1; 1 0]

Thank you, Please show work"--

The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

-23

Step-by-step explanation:

firstly u need to substitute a to 1/4 and b to 6

16(1/4) to the power of 2 - 4(6) equal to -23

Answer:

t = 20 + q in minutes

Step-by-step explanation:

Company meeting = president speech + questions + answers

President speech = 20 minutes

Questions and answers = q minutes

Total time spent = t minutes

Total time spent = President speech + Total time spent

t = 20 + q

The equation that represents the relationship between q and t is

t = 20 + q in minutes

Answer:

3/6+4/6=7/6 (or 1 1/6)

Step-by-step explanation:

Multiply 1/2 by 3, add the top and bottom numbers together

Then I simplified 7/6 to 1 1/6 because 7 goes into 6, 1 time and there is still 1 remaining

The possible amount of time is 90 seconds that it takes you to run around the baseball field

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The options are missing.

The options are:

We have a radius of the circle is:

r = 150 ft

The perimeter of the circle = 2πr = 2π(150) = 300π ft

The running path distance = 40% of the perimeter of the circle

= 40% of 300π

= 120π ft

Assume the tape length is 50 m

Total distance = 200 + 200 + 120π - 50 = 726.99

The rate is 8 feet per second.

Time = distance/rate = 726.99/8 = 90.87 ≈ 90 seconds

Thus, the possible amount of time is 90 seconds that it takes you to run around the baseball field

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

1 and 1/4 (1.25)

Step-by-step explanation:

So imagine you have 2 pizzas. Your friend wants to bring one home. Your pizzas are both in two pieces, and your friend wants to take one whole pizza and a half of the second one. In the first graph, that friend takes

1 and 1/2 (1/2 meaning one half) or 1.5 (.5 being half)

To get the fraction for one half you have to think:

- How many slices are there in each pizza?

- How can I make this a fraction?

- If it says “1” for a whole pizza how much is half going to be?

If there are 2 parts to one pizza, and only 1 of the 2 parts are taken, it is considered 1/2.

Another way you show “1/2” is by putting “.5 (0.5)” at the end of a number. You can find “.5” by doing “1 ÷ 2”

You divide one and two because there is 1 pizza and 2 parts of it.

Now that you know how to figure out the first one, the second one should be easy!

But.. for some reason, the “1/2 (.5)” that we got earlier of the second pizza is cut in half!

You can see that they took one full pizza, and half of “1/2” of a pizza!

There are two simple ways to find out what number “half of a half of a pizza” is!

For the first, you can count the blocks!

In this case, there are 4 blocks (4 slices), in a pizza. One pizza has all 4 blocks filled, meaning one whole pizza is taken by your friend, and only 1 block is filled in on the second pizza! You can say, for the second pizza, that your friend took “1/4” of a pizza.

You get this by seeing that out of 4 blocks that could be filled, only 1 is!

Which gives you the answer “1/4 (0.25)”

Or you could divide!

If you look you can see there are 2 parts where “1/2” was. If you want to find what half of “1/2” is, you could write the equation:

“1/2 ÷ 2”

The answer you get is also “1/4 (0.25)”

You divide “1/2” and “2” because you want to find what one of 2 parts of 1/2 is.

Now that you know that there is one full pizza and 1/4 of a pizza, your final answer comes out to be 1 and 1/4 (1.25) because you combine the two answers together.

The two companies will charge the same amount at $25802.99 when 141.86 tons of sugar are transported.

the second company charges $4092 to rent trucks plus an additional fee of $175.75 for each ton of sugar. for what amount of sugar do the two companies charge the same what is the cost when the two companies charge the same

Hence, we can form an equation using this information.

The total cost, C, of the first company can be expressed as:  

C=150.25x+4500

he total cost, C, of the second company can be expressed as:  

C=175.75x+4092

The two costs are equal at their intersection point.

Equating both expressions for C gives:  

150.25x+4500=175.75x+4092

Simplifying and solving for x gives:

x = 141.86 tons (rounded to 2 decimal places)

Substitute x = 141.86 into either expression for C to determine the cost of transporting 141.86 tons of sugar.  

C=175.75(141.86)+4092

= 4500 + 150.25(141.86)=  $25802.99

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The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Vacarro sliced a banana into 5 pieces.

Number of slices she gave to her toddler = 4/5

Number of slices left after her toddler had finished eating = 2/5

Thus number of slices toddler ate,

⇒ \(\frac{4}{5} -\frac{2}{5}\)

⇒ \(\frac{4-2}{5}\)

⇒ \(\frac{2}{5}\)

Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

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The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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To find the value of V*(s'), The Bellman equation relates the Q*(s, a) values to the state-value function V*(s) by taking the maximum Q-value over all possible actions. Given the Q*(s, a) values and the transition information:

V*(s') = max(Q*(s', a)) for all actions a

In this case, the Q* values for state s are:

Q*(s, \(a_{1}\)) = 10

Q*(s, \(a_{2}\)) = -1

Q*(s, \(a_3}\)) = 0

Q*(s, \(a_{4}\)) = 11

Since s' can be reached from s by taking action a1, we consider the Q* values for state s' and select the maximum value:

V*(s') = max(Q*(s', \(a_{1}\)), Q*(s', \(a_{2}\)), Q*(s', \(a_{3}\)), Q*(s',\(a_{4}\) )

Substituting the given Q* values for s', we have:

V*(s') = max(Q*(s', \(a_{1}\)), Q*(s', \(a_{2}\)), Q*(s', \(a_{3}\)), Q*(s', \(a_{4}\))

         = max(10, -1, 0, 11)

         = 11

Therefore, the value of V*(s') is 11.

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Answer: $2.50

Step-by-step explanation:

1.5$ per wing

I like chicken wings

The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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Answer:

Your answer is: 19k - 7

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

To simplify the expression (-6n-6) + (8n-6), we need to combine like terms. We can do this by adding the coefficients of the n terms and the constant terms separately. The simplified expression is 2n - 12.

For the n terms, we have -6n + 8n, which simplifies to 2n.

For the constant terms, we have -6 - 6, which simplifies to -12.

Therefore, the simplified expression is 2n - 12.

In summary, when simplifying the expression (-6n-6) + (8n-6), we combine the coefficients of the n terms and the constant terms separately. We end up with the simplified expression 2n - 12.

Here's a step-by-step explanation:

1. Start with the original expression: (-6n-6) + (8n-6)
2. Remove the parentheses: -6n - 6 + 8n - 6
3. Group like terms: (-6n + 8n) + (-6 - 6)
4. Simplify the expression by combining like terms: 2n - 12

So, the simplified expression is 2n - 12.

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The probability of the next president of the United States being born on Sunday or Tuesday can be determined by considering the total number of days in a week and the assumption that each day of the week is equally likely. The probability is 2/7.

In a week, there are seven days. Assuming that each day of the week is equally likely to be the day of birth for the next president, we need to determine the number of favorable outcomes (birthdays on Sunday or Tuesday) and divide it by the total number of possible outcomes (seven days).Out of the seven days of the week, Sunday and Tuesday are the two days that satisfy the condition. Therefore, the number of favorable outcomes is 2.
Hence, the probability of the next president being born on Sunday or Tuesday is given by 2/7, where 2 represents the number of favorable outcomes (birthdays on Sunday or Tuesday) and 7 represents the total number of possible outcomes (seven days of the week).
Therefore, the probability of the given event is 2/7.

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Answer:

x = -3

Step-by-step explanation:

1) Expand any brackets there are

To expand brackets we have to multiply everything outside the bracket by everything inside the bracket!

2) Get rid of the smallest value of x

To leave x only on one side we have to get rid of the smallest one!

3) Isolate the x

This means x = -3

Hope this helps, have a lovely day! :)

Answer:

80%

Step-by-step explanation:

We can generalize from a specific example.

Let's assume that the season is 100 games long.

We have played 75% of the season, which is 75 games

We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.

So, we must have lost 45 games.

To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.

To win 20 out of the last 25 games will be 20/25  =  0.80  =  80%

Answer:

mean: 10.2

median: 12

Step-by-step explanation:

Answer:

don't know bro

sry

don't mind

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