6u + 2u + 3
help meeee

Answers

Answer 1

Answer:

8u + 3

Step-by-step explanation:

the 6u and 2u are like terms, so they can be added. the 3 must stay on its own though, as it does not have a u in front of it:)


Related Questions

Perform the indicated operation.
-10 + 15
a) -25
b) 25
c) -5
d) 5

Answers

Answer: d)

-10 + 15 = 5

Answer:

D. 5

Step-by-step explanation:

-10 + 15 Can be rewritten as 15-10

15-10=5

The answer is 5.

Hope this helps!

Please mark as brainliest if correct!

Simplify -3x + 7y + 21y - 12x

Answers

Answer:

-15x + 28y

Step-by-step explanation:

-3x + 7y + 21y - 12x

= -15x + 28y

Answer:

-15x+28y

Step-by-step explanation:

Use Euclid's first book to prove what specific quadrilaterals are produced by perpendicular, unequal, bisecting diagonals.

Answers

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

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PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!

PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!

Answers

Answer: It is B)

Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7

Answer:

B. 8.7

Step-by-step explanation:

the closest one is but the actual number is 8.6 repeating so 8.7 is correct

Please help me, it's really needed.

Please help me, it's really needed.

Answers

the correct answer is ^

Which parameter is often associated with enzyme affinity for substrates? \( k_{1} \) \( k_{-1} \) \( k_{2} \) \( K_{m} \)

Answers

The parameter often associated with enzyme affinity for substrates is Km.

Km, also known as the Michaelis constant, is a parameter commonly used to quantify the affinity of an enzyme for its substrate. It is an important parameter in enzyme kinetics and plays a crucial role in determining the efficiency of an enzyme-substrate interaction.

Km represents the substrate concentration at which the rate of the enzymatic reaction is half of its maximum velocity (Vmax). In other words, enzymes with lower Km values have higher affinity for their substrates, as they can achieve half of their maximum velocity at lower substrate concentrations. Therefore, Km serves as an indicator of the enzyme's ability to bind and convert substrates into products efficiently.

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The mean is the measure of central tendency most likely to be affected by an outlier.

Answers

The measure of central tendency most likely to be affected by an outlier is the mean.

The mean is calculated by summing all the values in a dataset and dividing by the total number of values. Since the mean takes into account every value in the dataset, it is sensitive to extreme values or outliers. An outlier is a value that significantly deviates from the other values in the dataset.

When an outlier is present in the dataset, its extreme value can heavily influence the sum of all values and consequently impact the calculation of the mean. This is because the mean is directly affected by the magnitude of each value, and outliers can greatly skew the overall average. Even a single outlier can pull the mean towards its extreme value.

In contrast, other measures of central tendency, such as the median and mode, are less affected by outliers. The median represents the middle value when the dataset is ordered, so extreme values do not influence it as much. The mode represents the most frequently occurring value and is not influenced by outliers unless the outlier itself becomes the mode.

Therefore, when there is an outlier present in a dataset, the mean is the measure of central tendency that is most likely to be affected, while the median and mode provide more robust measures in such cases. It is important to consider the presence of outliers and choose the appropriate measure of central tendency accordingly.

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Joan bought 705 crayons that came in packs of 15. How many packs of crayons did Joan buy?

Answers

Answer:

47 packs

Step-by-step explanation:

705 divided by 15 is 47

5.6.AP-1
Solve the inequality.
3 + 4x> 27

Answers

Answer:

The answer is X>6

if you click the image it will show the steps to solving the inequality. hope this helps.

5.6.AP-1Solve the inequality.3 + 4x> 27

a utility company burns coal to generate electricity. they capture 85% of the pollutants coming out of their smoke stacks. the engineers developed a model for the cost of capturing the pollutants, c, as a function of the percentage of the pollutants captured, p: determine the additional cost of trying to capture 90% of the pollutants.

Answers

The additional cost of trying to capture 90% of the pollutants is simply 5% of the value of A.

To determine the additional cost of trying to capture 90% of the pollutants, we need to use the model for the cost of capturing pollutants, which is given as a function of the percentage of pollutants captured. Let's assume that the cost function is of the form:

c(p) = Ap + B

where A and B are constants that depend on the specifics of the capture technology and the company's operations.

We are told that the company currently captures 85% of the pollutants, so the cost of capturing pollutants at this level is:

c(0.85) = A(0.85) + B

To determine the additional cost of trying to capture 90% of the pollutants, we need to calculate the difference between the cost of capturing pollutants at 90% and the cost of capturing pollutants at 85%. This is given by:

c(0.90) - c(0.85) = [A(0.90) + B] - [A(0.85) + B]

= A(0.05)

Therefore, the additional cost of trying to capture 90% of the pollutants is simply 5% of the value of A. Note that we don't need to know the specific values of A and B to calculate this additional cost; we just need to know the percentage increase in the level of pollutants captured.

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Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)=x² Inx² +4 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function is decreasing on the open interval(s) The function is never increasing. (Simplify your answer. Use a comma to separate answers as needed. Type your answer in interval notation. Type an exact answer.) OB. The function is increasing on the open interval(s) The function is never decreasing. (Simplify your answer. Use a comma to separate answers as needed. Type your answer in interval notation. Type an exact answer.) OC. The function is decreasing on the open interval(s) and increasing on the open interval(s) (Simplify your answers. Use a comma to separate answers as needed. Type your answers in interval rotation. Type exact answers.) D. The function is never increasing or decreasing.

Answers

Given,  f(x) = x² In x² + 4To find, The intervals on which f is increasing and the intervals on which it is decreasing.

Let's find the derivative of f(x) using the product rule of differentiation.

Using the product rule, we have;dy/dx = d/dx (x² In x² + 4)dy/dx = d/dx (x²)In x² + x² (d/dx(In x²)) + d/dx (4)dy/dx = 2x In x² + x² * 2/x + 0dy/dx = 2x In x² + 2

Now we know that, if the derivative is positive, the function is increasing and if the derivative is negative, the function is decreasing. If the derivative is zero, then it is an extreme value. To find intervals of increase and decrease, we need to find when the derivative equals 0.dy/dx = 2x In x² + 2 = 0On solving for x, we get;x = e^(-1/2)

Now we can form a number line;On the interval, x < e^(-1/2), dy/dx < 0, which means the function is decreasing.On the interval, x > e^(-1/2), dy/dx > 0, which means the function is increasing.Therefore, The function is decreasing on the open interval(s) (0, e^(-1/2)) and increasing on the open interval(s) (e^(-1/2), ∞).

Hence the correct option is OC. The function is decreasing on the open interval(s) and increasing on the open interval(s) (0, e^(-1/2)), (e^(-1/2), ∞).

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Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a^3 and 4a^3.

An expression is __a^3.

Answers

The expression of the perimeter of the right triangle is 12a³

What is perimeter?

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore , if the three sides of a triangle is represented by a, b,c then the perimeter = a+b+c.

The hypotenuse of the triangle =

√(3a³)² + 4a³)²

= √ 9a⁶+16a⁶

= √ 25a⁶

= 5 a³

therefore the perimeter of the triangle =

5a³ + 3a³ + 4a³

= 12a³

therefore the perimeter of the triangle is 12a³

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choosing the pivot row by requiring that the ratio associated with that row be the smallest non-negative number ensures that the iteration will not take us from a feasible point to a non-feasible point.

Answers

Answer:

This statement is true.

In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.

By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.

Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.

Step-by-step explanation:

This statement is true when using the simplex method to solve a linear programming problem.


In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.

Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.

Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.

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Write 0.4444 as a fraction in lowest terms:

Answers

Answer:

1111/2500

Step-by-step explanation:

a representative of a car manufacturer in the united states made the following claim in a news report. ten years ago, only 53 percent of americans owned american-made cars, but that figure is significantly higher today. a research group conducted a study to investigate whether the claim was true. the group found that 56 percent of a randomly selected sample of car owners in the united states owned american-made cars. a test of the appropriate hypotheses resulted in a p-value of 0.283. assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a

Answers

There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.

A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.

However, today, the percentage is higher.

A research group conducted a study to find out whether the statement was true.

They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.

Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05

At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.

Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).

H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).

Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).

It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.

Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).

The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.

The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.

Since the p-value was greater than 0.05, we failed to reject the null hypothesis.

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Is y=(x/3) an inverse or direct variation

Answers

Answer: y=x3 is a direct variation.

Step-by-step explanation:

Please Help!

I don't understand how to work out this question.

Please Help!I don't understand how to work out this question.

Answers

∠XBC is 55 degrees because it is corresponding to ∠AXY..

The angle ∠BXC is 70 degrees

How to find angles in parallel lines?

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, same interior angles, vertically opposite angles etc.

Therefore, XY and BD are parallel lines.

XB = XC

ΔXBC is an isosceles triangle.

Therefore, ∠XBC is 55 degrees because it is a corresponding angle to ∠AXY.

Let's find ∠BXC.

Therefore, the base angles of an isosceles triangle are congruent.

Hence,

∠XBC = ∠BCX = 55 degrees

Therefore,

55 + 55 + ∠BXC = 180

110 + ∠BXC = 180

∠BXC = 180 - 110

∠BXC = 70 degrees

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Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random variable with a mean and a standard deviation of 33.8 and 3.5 mpg, respectively. Use Table 1.
a. What is the probability that a randomly selected passenger car gets more than 35 mpg?
b. What is the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg?
c. If four passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 35 mpg?

Answers

the probability that a randomly selected passenger car gets more than 35 mpg is approximately 0.3665.

the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg is approximately 0.087

the probability that all of the passenger cars get more than 35 mpg is approximately 0.015.

We need to find \(P(X > 35),\) where X is the mpg rating of a randomly selected passenger car.

The standard normal distribution and Table 1, we have:

\(z = (35 - 33.8) / 3.5 = 0.34\)

\(P(X > 35) = P(Z > 0.34) = 0.3665\)

\(P(\bar X > 35)\), were \(\bar X\) is the sample mean mpg rating of four randomly selected passenger cars.

The population standard deviation, we use the t-distribution with \(n-1\) degrees of freedom (were \(n = 4\)) and Table 1. We have:

\(t = (35 - 33.8) / (3.5 / \sqrt(4)) = 1.83\)

Using Table 1 with 3 degrees of freedom (\(n-1 = 4-1\)), we find:

\(P(T > 1.83) = 0.087\)

We need to find \(P(X1 > 35\) and \(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)), where X1, X2, X3, and X4 are the mpg ratings of four randomly selected passenger cars.

Since the mpg ratings of the four cars are independent and identically distributed, we have:

\(P(X1 > 35\)and\(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)) =\(P(X > 35)^4\)

From part (a), we know that\(P(X > 35) = 0.3665.\)

\(P(X1 > 35\)and \(X2 > 35\) and\(X3 > 35\) and \(X4 > 35) = 0.3665^4 \approx 0.015\)

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the area of the conference table in mr. Nathan's office must be no more than 175 ft^2. if the length of the table is 18ft more than the width,x, which interval can be possible widths?

Answers

Answer:

x is less than or equal to 7

Step-by-step explanation:

i need the answer to thisssssss im confused please help thank youuuuuu

i need the answer to thisssssss im confused please help thank youuuuuu

Answers

Answer:

light blue

Step-by-step explanation:

Kathy ell ome pie at a bakery he cut each pie into 6 piece to ell individually he ell 5/6 of a pie each hour How many whole pie did Kathy ell in 36 hour?

Answers

Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years

Answers

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Plzzzzzzzzz i need help

Plzzzzzzzzz i need help

Answers

Answer:

Area = base x height

Step-by-step explanation:

8X11=88sq

Answer:

88 units^2

Step-by-step explanation:

The area of a parallelogram can be found using he following formula:

a=b*h

where b is the base and h is the height.

We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).

b= 11 units

h= 8 units

Substitute these values into the formula.

a= 11 units * 8 units

Multiply

a= 88 units^2

The area of the parallelogram is 88 square units.

find all solutions of the given equation. (enter your answers as a comma-separated list. let k be any integer. round terms to two decimal places where appropriate.) 4 sin() − 1 = 0

Answers

4sinθ - 1 = 0`. We need to find all the solutions of the given equation. Now, let us solve the equation:

\(4sin\theta - 1 = 0 \\ 4sin\theta = 1 \\sin\theta = 1/4\)

We know that the general solution of the equation `sinθ = k` is given by \(`\theta = n\pi + (-1)n\alpha `\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`.

Therefore, \(sin^-1(1/4) = 0.2527\) (rounded to four decimal places)Putting k = 1/4, we get\(\theta = n\pi + (-1)n\ sin^_1 (1/4)\) for any integer `n`. \(\theta = n\pi + (-1)n\ sin^_1(1/4)\) for any integer `n`. To solve the given equation 4sinθ - 1 = 0, we first need to express the equation in the form of `sinθ = k`.

Then, we use the general solution of the equation `sinθ = k`, which is given by \(`\theta = n\pi + (-1)n\alpha\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`. For the given equation, we get \(sin\theta = 1/4\). The principal value of \(`sin^_1(1/4)\)` is 0.2527 (rounded to four decimal places).

Therefore, the general solution of the equation \(4sin\theta - 1 = 0\ is `\theta = n\pi + (-1)n\ sin^-1(1/4)\)` for any integer `n`. The solutions of the given equation \(4sin\theta - 1 = 0\ are `\theta = n\pi + (-1)n\ sin^-1 (1/4)`\)for any integer `n`.

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Moses volunteer at an animal shelter with 4 dogs. He has 14 dog treats. He gives each dog the same number of treats, and gives as many treats as he can. How mangy treats does Moses give each dog? How many treats are left?

Answers

He can give each dog 3 treats, which means he gives 4 dogs 3 treats each.

4x3=12

He will have 2 treats left over.

Which of the following describes the arrangement of network cabling between devices?

a. Logical topology
b. Networking technology
c. Physical topology
d. Media access method

Answers

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

What is the Physical topology?

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Complete the following statement: In two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent...

Answers

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

How can two-dimensional motion be analyzed?

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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A frequency distribution in which there are too many scores at the extremes of the distributionsaid to be:Select one:a. Leptokurticb. negatively skewedc. Platykurticd. positively skewed

Answers

A frequency distribution in which there are too many scores at the extremes of the distribution is said to be platykurtic distribution.

What is frequency distribution?

Frequency tables or charts are used to represent frequency distributions.

Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

We are given a frequency distribution in which there are too many scores at the extremes of the distribution

This distribution is said to be platykurtic distribution because a distribution with a negative excess kurtosis value is referred to as "platykurtic." Since there are fewer extremely positive or negative events, a platykurtic distribution will have thinner tails than a normal distribution.

Hence, this type of distribution is said to be platykurtic distribution.

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As a quality inspector for an automobile manufacturer, you record the gap between adjacent side panels on several cars as follows: 6.7, 6.1, 6.2, 6.7, 6.5, 6.4, 6.3, and 6.1 millimeters. The standard deviation of these data is 0.23, and the range is 0.6.

Which measure of center is most appropriate, and what is the value of the measure of center?

mean; 6.375
median; 6.375
mean; 6.4
median; 6.6
mode; 6.7

Answers

Note that the most appropriate measure of center in this case is the median, as it is less affected by extreme values. The value of the median is 6.4.

What is median?

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.

The median is the value in the center of a set of data. First, arrange and sort the data in ascending order from smallest to largest.

Divide the number of observations by two to obtain the midway value. If there are an odd number of observations, round that number up to the next whole number, and the value in that location is the median.

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21
a
f
h XUY
23
O
O 5 tan t
Ot cot t
Rewrite and simplify g(x) with the given subsititution* (5 Points)
5x
g (x)
2 sint (assume 0 < t < 7)
4-x²
10 sin t
2-2 sin 1
O None of these expressions
O I don't know.
O
24
Find all solutions for t (in radians) of the given equation on the interval [0,2n)* (5 Points)
8 sin 2t + sint = 0

21afh XUY23OO 5 tan tOt cot tRewrite and simplify g(x) with the given subsititution* (5 Points)5xg (x)2

Answers

Answer:

Step-by-step explanation:

Make the substitution first for x:

\(\frac{5(2sint)}{\sqrt{4-(2sint)^2} }\) and simplify a bit:

\(\frac{10sint}{\sqrt{4-4sin^2t} }\). Factor a 4 out of the expression under the radical:

\(\frac{10sint}{\sqrt{4(1-sin^2t)} }\) and pull out the perfect square in 4 as a 2:

\(\frac{10sint}{2\sqrt{1-sin^2t} }\) and divide 10 by 2 to get:

\(\frac{5sint}{\sqrt{1-sin^2t} }\)

Our Pythagorean trig identity tells us that

\(sin^2(t)+cos^2(t)=1\) so

\(1-sin^2(t)=cos^2(t)\). Make that substitution:

\(\frac{5sint}{\sqrt{cos^2t} }\)  The denominator can be simplified (the squaring of the square root each cancel out), leaving us with:

\(\frac{5sint}{cost}\).  Sin over cos is the same as tangent, so our final simplification is

5tan(t)

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Does the point (5, 24) lie on the line y = 5x - 1? WHO SAYS "I HAVE FOUND MY LIMIT A THOUSAND TIMES, AND STILL I PRESS FURTHER" IN LEAGUE OF LEGENDS? Which element is a metalloid? use cylindrical coordinates. evaluate e z dv, where e is enclosed by the paraboloid z = x2 y2 and the plane z = 16. Please help me with science fair projects ideas for high school with independent and dependent variables Merry Melon Fruit Company has a current stock price of $20.00. A call option on this stock has an exercise price of $20.00 and 0.36 year to maturity. The variance of the stock price is 0.04, and the risk-free rate is 5%. You calculate d_1 to be 0.21 and N(0.21) to be 0.5832. Therefore, d_2 will be 0.09 and N(0.09) will be 0.5359. Using the Black- Scholes option Pricing Model, what is the value of the option? $1.137 $1.251 $1.308 $0.966 A bank features a savings account that has an annual percentage rate of r=4.5r=4.5% with interest compounded semi-annually. Monique deposits $2,000 into the account.The account balance can be modeled by the exponential formula S(t)=P(1+rn)ntS(t)=P(1+rn)nt, where SS is the future value, PP is the present value, rr is the annual percentage rate, nn is the number of times each year that the interest is compounded, and tt is the time in years.(A) What values should be used for PP, r, and nn?P=, r=, n=(B) How much money will Monique have in the account in 9 years?Answer = $ .Round answer to the nearest penny.(C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year).APY= %.Round answer to 3 decimal places. should the united states have been better prepared for war? Line a passes through (-2,1) and (0,3) Line b passes through (4,1) and (6,4)Line c passes through (1,3) and (4,1) Which of the lines if any are perpendicular? Which of the following is not included in the BLS measure of the labor force?a) People who are taking time off of work due to an illness.b) People who do not look for a job because they are discouraged.c) People who have been looking for work for 6 months, but haven't found one.d)People who are on vacation from work. 36) The table below shows the growth rate of a vine over several weeks:Week136911Length (inches)5691114What is the average rate of change from weeks 3 to week 9?A) 0.83B) 0.9C) 1.2D) 1.1 Whom did journalists quickly accuse of destroying the USS Maine? a. Russia b. Cuba c. Spain d. Panama Anthropologists have realized that __________ their experiences and personal interactions is an important part ofunderstanding. What happened after the british troops leave boston and march to concord to seize gunpower and weapons Multiple choice 1. If the price of automobiles increases and all other factor remain unchanged it will be reasonable to expect an increase in the demand for automobiles sales b. a decrease in the demand for automobiles C. an increase in the quantity of automobiles demanded d. a decrease in the quantity of automobiles demanded 2. If the demand curve for Heavy Beer shifts to the left, this could be due to a. an increase in the price of Heavy Beer b. an increase in consumer income c. an increase in the price of other bears d. a shift in tastes and preferences to light beers 3. An increase in the price of apples is likely to cause a. a decrease in the demand for apples b. an increase in the quantity demanded of apples c. an increase in the demand for other types of fruit d. an increase in the quantity demanded of other types of fruit 4. If the price of black walnuts increases and other factors remain unchanged it is reasonable to expect a. an increase in the quantity supplied b. a decrease in the quantity supplied c. an increase in supply d. a decrease in supply 5. If a new labor settlement increases a fim's costs, this will probably a. cause a decrease in supply b. cause an increase in supply cause a reduction in the quantity supplied d. cause the supply curve to shift to the right 6. If grasshoppers destroy half of the wheat crop the result will be a decrease in the quantity supplied b. a rightward shift of the wheat supply curve c. a leftward shift of the wheat supply curve d. none of the above 7. If demand increases and supply declines a. the equilibrium price and quantity will both increase b. the equilibrium price will rise, but the quantity will fall c. the equilibrium price will fall, but the quantity will rise d. the equilibrium price and quantity will both fali e. the equilibrium price will rise; quantity will be indeterminate C. a. 12. Describe the impact that the Enlightenment had on the church in European countries in the 1600s and 1700s. Which sentence most clearly contains an idiom?a. the Manhattan Project involved thousands of people.b. she was mad, but she had bigger fish to fry that dayc. " I told you" Rhonda said "I just got here yesterday"d. Rain thumped against the tin roof of the small trailer. HELP PLEASE Knanajaj Jane is covered by a $90,000 group-term life insurance policy, her daughter is the sole beneficiary. Jane's employer pays the entire premium for the policy; the uniform annual premium is $0.60 per $1,000 per month of coverage. How much, if any, is W-2 taxable income to Jane resulting from the insurance which statement is true a.bones provide shape to the bodyb. bones are composed of a single layerc.bones are organ systemsd.bones help the heart pump blood