what is 6.31 converted to a percentage?

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \(\frac{opposite}{adjacent}\) = \(\frac{x}{3}\) , then

θ = arctan \(\frac{x}{3}\) → C

The required inverse function would be θ = arctan x/3. The correct answer would be an option (C).

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

Using the tangent ratio, we have:

tan θ = perpendicular/base

Here, perpendicular = x and base = 3

As per the figure, substitute the values in the above ratio:

tan θ = x/3

Using an inverse function to write θ as a function of x:

θ = tan⁻¹ x/3

This can be also written as:

θ = arctan x/3

Therefore, the required inverse function would be θ = arctan x/3.

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Answer:

A.

Step-by-step explanation:

Because they are both subtracting, both lines have to go to the left

Answer:

The answer is A

Step-by-step explanation:

I got a 100 on my test ;)

Answer:

4n+13.

Step-by-step explanation:

n is how many weeks, he plants 4 bushes each week you multiply 4 by how many weeks pass and then add how many he already has

The periodic function obtained by replicating f(x) = x² over intervals of length 10 is f(x) = (x - 10k)², for 10k ≤ x ≤ 10(k+1), where k is an integer.

The periodic function by replicating the function f(x) = x² over intervals of length 10, to find the values of f(x) for each interval and then repeat the pattern.

The given function f(x) = x² is defined for x ≥ 0, so we will consider the interval [0, 10] to replicate the function.

Let's divide the interval [0, 10] into smaller intervals of length 10. The function f(x) = x² for this interval is as follows:

For 0 ≤ x ≤ 10:

f(x) = x²

Repeat this pattern for every interval of length 10. For any integer k, the function for the k-th interval [10k, 10(k+1)] is given by:

f(x) = (x - 10k)²

This function represents the replicated pattern for each interval of length 10. It repeats the behavior of the original function f(x) = x².

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x1 = 5 and x2 = 0

The following LP problem in a spreadsheet MAX: 4x1 + 4x2 Subject to: 2x1 + 4x2 <= 20, 3x1 + 5x2 <= 15, and x1, x2 >= 0.A spreadsheet is a type of software that allows users to store and analyze data in a grid-like format of rows and columns. Spreadsheets are commonly used for data entry, financial modeling, and other calculations.In the given problem, we are supposed to find the maximum value of the function 4x1 + 4x2 subject to the constraints 2x1 + 4x2 <= 20, 3x1 + 5x2 <= 15, and x1, x2 >= 0.The first two constraints are represented by inequalities. That means, the values of x1 and x2 can be any non-negative values that satisfy the constraints. Mathematically, the constraints can be represented as:2x1 + 4x2 <= 20⇒ x2 <= 5 - 0.5x1--------(1)3x1 + 5x2 <= 15⇒ x2 <= 3 - 0.6x1--------(2)Note that, we have represented the constraints in such a way that x2 is the subject of the inequality. This is done to make it easier to graph and find the feasible region.To find the feasible region, we need to graph both inequalities (1) and (2) on a coordinate plane. The feasible region is the shaded area that is common to both regions. It is given below:The feasible region is the triangular-shaped region. Since x1 and x2 are both non-negative, we need to consider only the values of x1 and x2 that are within the feasible region.Now, to maximize the function 4x1 + 4x2, we need to find the optimal solution. We do this by finding the intersection points of the lines that represent the equation 4x1 + 4x2 = k, where k is a constant.The equation 4x1 + 4x2 = k can be rearranged as x2 = (-x1 + k/4)This equation represents a line with a slope of -1 and a y-intercept of k/4. We can graph this line for different values of k to find the optimal solution. The line for k = 0 is shown below:We can see that the line passes through the feasible region at point (0, 0) and (5, 0). This means that the maximum value of the function is 4x1 + 4x2 = 4(5) + 4(0) = 20 at point (5, 0).Thus, the maximum value of the function 4x1 + 4x2 subject to the constraints 2x1 + 4x2 <= 20, 3x1 + 5x2 <= 15, and x1, x2 >= 0 is 20 at x1 = 5 and x2 = 0.

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The approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°. None of the provided answer choices match the correct answer.

To calculate the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th, we can use the analemma.

The analemma is a figure-8 shaped curve that represents the position of the Sun in the sky at the same time each day over the course of a year. It accounts for the Earth's axial tilt and elliptical orbit around the Sun.

To find the approximate noon Sun angle, we need to consider the declination of the Sun on February 14th and the latitude of Long Island.

On February 14th, the Sun's declination is approximately -12°.

The Sun angle at noon can be calculated using the following formula:

Sun angle = 90° - (latitude - declination)

Substituting the values, we have:

Sun angle = 90° - (41° - (-12°))

Simplifying this equation, we get:

Sun angle = 90° - 41° + 12°

Sun angle = 61°

Therefore, the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°.

None of the provided answer choices match the correct answer.

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Answer:

The first graph is correct.

Step-by-step explanation:

Note that the equation states x ≥ 2.  It includes the "equals" sign, so the graph line should include 2.  This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line.  The dashed line is correct for x>2, but not for x ≥ 2.

Answer:

33.55°

Step-by-step explanation:

let alpha be X

sin x= √11/6

sin x= 0.5527

x= sin-1 0.5527

x= 33.55°

The volume of the cylinder is \(384\pi \sqrt{3cm }^{2}\).

Body of the diagonal=24cm.

Assume the length of the side= a.

\(a^{2} +(a^{2} +a^{2} )=24^{2}\)

                   \(a=\sqrt[8]{3} cm\)

The area of the cylinder base=\(\pi R^{2}\)

                                                =\(\pi (\frac{1}{2} \sqrt[8]{3} )^{2}\)

                                                =\(48cm^{2}\)

The high of the cylinder is\(\sqrt[8]{3}cm\)

The volume of the cylinder:

=s*h

=\(48\pi *\sqrt[8]{3}\)

=\(384\pi \sqrt{3} cm^{3}\)

The volume of the cylinder is \(384\pi \sqrt{3cm }^{2}\).

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The biggest possible volume of the cylinder will be \(2089.497\hspace{1mm}\text{cm}^3\).

Now, given that the diagonal of the cube is \(24\) cm. So, if the side length of the cube is \(x\) cm, then we must have

\(x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}\)

Thus, the side length of the cube is \(8\sqrt{3}\) cm.

So, the height of the cylinder with maximum volume will be \(h=8\sqrt{3}\) cm and the diameter will be \(d=8\sqrt{3}\)cm i.e. the radius will be \(r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3}\) cm.

So, using the above formula for the volume of a cylinder, we get

\(V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3\).

Therefore, the biggest possible volume of the cylinder will be \(2089.497\hspace{1mm}\text{cm}^3\).

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Where the above chords are given, note that  FE is 9 (Option 2)

BC = 12

DE = EB = 6

FE = DE + 5 = 6 + 5 = 9

The theory that supports the above answer is the bisector theorem.

The bisector theorem states that in a circle, if a chord is bisected by another chord, then the two segments of the first chord are congruent to the two segments of the second chord.

In this case, DE and EB are both equal to 6 because DF bisects BC at E. This means that FE is equal to 6 + 5 = 9.

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Answer:

C

Step-by-step explanation:

If 2,000$ is to be given equally to 8 employees, dividing the 2,000$ by 8, gives you 250$. To confirm this answer, you would do 250$ × 8, which would equal the 2,000$.

You can also cut out answers D & E, due to them being too high, and answer A for leaving too much money left over. This leaves B & C, from there, just figure out which rounds up closer, or do the math.

The probability that less than or equal to 5 of the 10 independent customers will take more than 3 minutes to check out their groceries is approximately 0.9245.

To calculate this probability, we can use the binomial probability formula. Let's denote X as the number of customers taking more than 3 minutes to check out. We want to find P(X ≤ 5) when n = 10 (number of trials) and p (probability of success) is not given explicitly.

Step 1: Determine the probability of success (p).

Since the probability of each customer taking more than 3 minutes is not provided, we need to make an assumption or use historical data. Let's assume that the probability of a customer taking more than 3 minutes is 0.2.

Step 2: Calculate the probability of X ≤ 5.

Using the binomial probability formula, we can calculate the cumulative probability:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = C(10, 0) * p^0 * (1 - p)^(10 - 0) + C(10, 1) * p^1 * (1 - p)^(10 - 1) + C(10, 2) * p^2 * (1 - p)^(10 - 2) + C(10, 3) * p^3 * (1 - p)^(10 - 3) + C(10, 4) * p^4 * (1 - p)^(10 - 4) + C(10, 5) * p^5 * (1 - p)^(10 - 5)

Substituting p = 0.2 into the formula and performing the calculations:

P(X ≤ 5) ≈ 0.1074 + 0.2686 + 0.3020 + 0.2013 + 0.0889 + 0.0246

P(X ≤ 5) ≈ 0.9928

Rounding this probability to the nearest hundredth/second decimal place, we get approximately 0.99. However, the question asks for the probability that less than or equal to 5 customers take more than 3 minutes, so we subtract the probability of all 10 customers taking more than 3 minutes from 1:

P(X ≤ 5) = 1 - P(X = 10)

P(X ≤ 5) ≈ 1 - 0.9928

P(X ≤ 5) ≈ 0.0072

Therefore, the probability that less than or equal to 5 customers out of 10 will take more than 3 minutes to check out their groceries is approximately 0.0072 or 0.72%.

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Answer:

T-statistic

Step-by-step explanation:

As the sample size is less than 30, the t-statistic is the more appropriate test statistic. If it were greater than 30, then the t-statistic distribution and normal distribution would be indistinguishable, making the z-statistic a more preferable choice.

hopefully it's correct!!

Answer:

x = 5

Step-by-step explanation:

-(5x + 3) --> -5x - 3

-4x - 8 = -5x - 3

-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)

-4x = -5x + 5

-4x + 5x = -5x + 5 + 5x (add 5 to both sides)

x = 5

f(-5) = 1
f((-7)(5/7)) = f(-5) = 1
When x = 5/7: f(-7(5/7)) - 4 = 1 - 4 = -3

(5/7, -3) is a point on the graph of y = f(-7x) -4

Step-by-step explanation:

a) x + 4 = 12

=> x + 4 - 4 = 12 - 4

=> x = 8

d) - 14 = 2x

=> -14/2 = 2x/2

=> -7 = x

x = -7

b) x + 5,1 = x + x

1 = x + x

1 = 2x

1/2 = 2x/2

x = 1/2 or 0.5

e) 5 = 4x

=> 5/4 = 4x/4

=> x = 5/4 or 0.8

c) 6x = x - 15

=> x - 15 = 6x

=> -15 = 6x - x

=> -15 = 5x

=> -15/5 = 5x/5

=> x = -3

f) x + 8 = 2x + 3

x+8=2x+3

x+8−2x=2x+3−2x

−x+8=3

−x+8−8=3−8

−x=−5

−x/−1 = −5/−1

x=5

J'espère que cela vous aidera, si vous avez d'autres problèmes, dites-le moi

The function f(x) = |x| + 5 undergoes horizontal shrinking by a factor of 3 to get; f(x) = |¹/₂x| + 5

There are different ways of transforming a function such as dilation, translation, reflection, stretching, shrinking e.t.c

Now, To stretch or shrink the graph in the y direction, what needs to be done is to multiply or divide the output by a constant. Now, f(2x) simply means that the function f(x) is stretched in the x direction by a factor of 2,. Meanwhile, f(¹/₂x) means that the function f(x) is shrunk in the x direction by a factor of 2 (or stretched by a factor of ¹/₂).

Now, we are told that the function f(x) = |x| + 5 undergoes horizontal shrinking by a factor of 3. Applying the above rule for shrinking gives us;

f(x) = |¹/₂x| + 5

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Answer:

There is no common difference between each sequence.

Step-by-step explanation:

The difference between each number increases by 1 each time.

2+3=5

4+4=9

9+5=14

Therefore the next number is 20.

14+6=20

Hii student!

_________________________________________________

\(\multimap\parallel\boldsymbol{Answer.}\parallel\gets\)

there's no common difference in the sequence!

\(\multimap\parallel\boldsymbol{Explanation.}\parallel\gets\)

The common difference is the amount we add or subtract to obtain the next term. It should always be the same amount.

Since in this given sequence we add 3, then 4, then 5, there's no common difference in this sequence.

\(\maltese\boldsymbol{\therefore,\,option\;a\;is\,correct.}\)

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\)

\(\boldsymbol{-Greetings!-}\)

_______________________________________

Alisha's total earnings for the week would be $650.

Why it is and what is selling?

Alisha's total earnings for the week can be calculated as follows:

Commission earned on sales = 15% of $2000 = 0.15 x $2000 = $300

Total earnings for the week = Base salary + Commission earned

= $350 + $300

= $650

Therefore, Alisha's total earnings for the week would be $650.

Selling refers to the exchange of goods or services for money or other valuable consideration. It is the process of convincing or persuading potential customers to purchase a product or service. Selling involves various activities, including advertising, marketing, negotiating, and closing a sale.

The goal of selling is to create a relationship with the customer that leads to repeat business and referrals. It is an essential aspect of commerce and business, as it generates revenue and helps companies grow and expand.

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Given:

An exponential equation passes through the points (0,4) and (2,9).

To find:

Exponential equation that passes through the given points.

Solution:

Let the required exponential function is:

\(y=ab^x\)           ...(i)

The function passes through the points (0,4) and (2,9). It means the above equation must be true for these points.

\(4=ab^0\)

\(4=a(1)\)

\(4=a\)

And,

\(9=ab^2\)

Substituting \(a=4\), we get

\(9=(4)b^2\)

\(\dfrac{9}{4}=b^2\)

\(\pm \sqrt{\dfrac{9}{4}}=b\)

\(\pm \dfrac{3}{2}=b\)

In an exponential function b>0. So, \(b=\dfrac{3}{2}\).

Putting \(a=4,b=\dfrac{3}{2}\) in (i), we get

\(y=4\left(\dfrac{3}{2}\right)^x\)

Therefore, the required exponential function is \(y=4\left(\dfrac{3}{2}\right)^x\).

Answer:

Let x be the daily fee

0.5(48) +x = 64  is the equation,

Multiply:

24 + x = 64

Subtract:

x=40

The daily fee is $40

The probability that a bridge hand will have exactly 2 queens is 0.45%.

To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:

P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)

Where:

n is the total number of trials

k is the number of successes in the trials

p is the probability of success in a single trial

In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).

Plugging these values into the formula, we get:

P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹

= (78) * (1/169) * (4/13)¹¹

= (4/169) * (4/13)¹¹

This simplifies to:

P(exactly 2 queens) = (4/169) * (4/13)¹¹

= (4/169) * (4/169)¹¹

= (4/169)¹²

The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.

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Answer:

 1728000

Step-by-step explanation:

You always work from the parenthesis first because of order of operation. You have 12( because 2 times 6) then mulitply 12 times 10. You get 120 then you multiply it but itself 3 times. 120 x 120 x 120= 1728000

Answer:

Step-by-step explanation

(2×6)×10^3

(12)10^3

(12)1000

=12,000

Answer:

1. \(-3x^{2} +6x+4\)

2. \(3x^{2} -19x-14\)

Step-by-step explanation:

1. Just subtract them. (To subtract easier, ignore the variables and subtract regularly. When you're done go back and put the variables back in)

2. Foil

\((3x +2)(x-7)\)

\(3x^{2} -21x+2x-14\\3x^{2} -19x-14\)

Answer:

D

Step-by-step explanation:

Answer:

It's the B

Step-by-step explanation:

The arithmetic sequence here is made by subtracting 3 every time

Hope this helps, have a good day

Using translation concepts, it is found that the ordered pair of the final point is given by:

D. (5,4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this situation, considering that we start at point (5,4), the translations are as follows:

It ends at the starting point, hence option D is correct.

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Answer:

The number could be \(-7.5\) or \(8\).

Step-by-step explanation:

I'm going to assume this means "The square of a number is 60 greater than half of the number." Let the number be \(x\). The square of \(x\) will be \(x^{2}\). "is" denotes that we use the "\(=\)" sign, so our equation so far is \(x^{2} =\) . Half of \(x\) is \(\frac{1}{2}x\), and "greater than" implies addition, so \(60\) greater than \(\frac{1}{2}x\) is \(\frac{1}{2}x+60\). Therefore, the equation is \(x^{2} =\frac{1}{2}x+60\).

Solving for \(x\), we get:

\(x^{2} =\frac{1}{2}x+60\)

\(2x^{2} =x+120\) (Multiply both sides of the equation by \(2\) to get rid of the fraction)

\(2x^{2} -x-120=0\) (Subtract \(x+120\) from both sides of the equation to make it easier to solve)

\(2x^{2} +15x-16x-120=0\) (Split \(-x\) into \(15x-16x\) to make the LHS easier to factor)

\(x(2x+15)-8(2x+15)=0\) (Take a common factor out of the first two terms and the last two terms)

\((2x+15)(x-8)=0\) (Take another common factor out)

\(2x+15=0,x-8=0\) (Zero Product Property)

\(x=-7.5,8\) (Solve)

Hope this helps!

Answer:

A protein is composed of chains of amino acids that are either in their primary, secondary, or tertiary forms.

Step-by-step explanation:

Answer:

A protein is composed of chains of amino acids and a DNA molecule that contains the information to code for one specific protein and a amino acid is molecules that combine to form proteins.

The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.

To calculate the mean and standard deviation in Excel, you can use the following functions:

Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.

Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.

Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.

The Confidence Interval can be determined using the formula: E = Z * (σ / √n)

In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.

Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.

Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.

Now, we can set up the confidence interval using the mean and E value:

Confidence Interval = (mean - E, mean + E)

Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)

Confidence Interval = ($4.015, $5.205)

Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.

In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.

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