What is the distance between (3,0) and (5,6)

Answer:

Step-by-step explanation:

Let the width is x, then the length is 2x.

Area of rectangle:

Dimensions are:

Perimeter is:

Let dimensions be x and 2x

Now

Now

Breadth=3

Length=2(3)=6

Perimeter

Answer:

Step-by-step explanation:

makes it easier.

Answer:

The denominator of a fraction tells you the relative size of the pieces. ... Therefore, the reason fractions need a common denominator before adding or subtracting is so that the numbers of pieces you are adding/subtracting are all the same size.

Step-by-step explanation:

Answer:

2

Step-by-step explanation

2j + 4 = 8

2j + (4-4) = (4-8)

2j=4

2j/2 = 4/2

j = 2

The work function of the photosensitive material is 0.82 eV.

The minimal energy needed to remove an electron from a photosensitive

material is represented by the work function (Φ)  of the substance. In the photoelectric effect, electrons can be released from a substance when light with a high enough energy (higher than or equal to the work function) strikes it.

We must deduct the energy of the released electrons from the energy of the incident light in order to get the material's work function.

Work function (Φ) = Energy of incident light - Energy of emitted electrons

Given:

Energy of incident light = 2.53 eV

Energy of emitted electrons = 1.71 eV

Work function (Φ) = 2.53 eV - 1.71 eV

Work function (Φ) = 0.82 eV

Therefore, the work function of the photosensitive material is 0.82 eV.

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Answer:

Molar Mass Molar mass is defined as the mass of one mole of representative particles of a substance. By looking at a periodic table, we can conclude that the molar mass of lithium is 6.94g, the molar mass of zinc is 65.38g, and the molar mass of gold is 196.97g. Each of these quantities contains 6.02 × 1023 atoms of that particular element.

Step-by-step explanation:

Hope this helps!!!

-BB

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Probability that at least one of them(from A, B or C)  will solve the problem is 0.496

The likelihood that A, B, and C each find a solution to the problem is 0.1, 0.2, and 0.3, respectively.

In general, the likelihood that none of them will be able to solve it is the complement of the probability that at least one of them will. Hence

P(at least one) = 1-P(none)

The probability that none of them will solve it is 0.9*0.8*0.7 (the probability that A does not solve the problem and B does not solve the problem and neither does C). Take the complement, and you've got your answer:

P(A or B or C solves the problem) = 1- (0.9*0.8*0.7)

     = 1- 0.504

     = 0.496

So, the probability that at least one of them will solve the problem is 0.496 or 49.6%

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The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

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The single natural logarithm expression is ln(2). Therefore, correct answer is (a)

The expression in the form \(e^a=b\) can also be written as In b = a  which is called as logarithmic expression.

Properties of Logarithms:

1. In (mn) = In m + In n

2. In \(a^m =\) m In a

3. In \(e^a\) = a.

The natural logarithm expression is:

4 + ln 2 - ln 4

Apply the product and quotient rule of natural logarithm:

4 + ln 2 - ln 4  = In (4 × 2/4)

Evaluate the quotient:

4 + ln 2 - ln 4  = In (2)

Hence, the single natural logarithm expression is ln(2).

The correct option is (a)

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Answer:

B: ln 4.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

every triangle adds up to 180 sort of, in this case, turn 4 into 40. 40+20=60 so add 80 to be 180!!!

Solution,

Let the price of car be X.

Rate(R)=5%

Here,

Commission % of price of car=32500

or,5% of X=32500

or,5/100*X=32500

or,X=32500*20

X=Rs 650000

Hope it helps

Good luck on your assignment........

The corresponding rectangular coordinates for point q are (-3√3, -3)

To find the corresponding rectangular coordinates for point q, we need to use the formula:
x = r cos(theta)
y = r sin(theta)

where r is the radial distance and theta is the angle measured counterclockwise from the positive x-axis in radians.

In this case, the given polar coordinates are (6, 7π/6). So, we have:
r = 6
theta = 7π/6

Substituting these values into the above formulas, we get:
x = 6 cos(7π/6) = 6 (-√3/2) = -3√3
y = 6 sin(7π/6) = 6 (-1/2) = -3

Therefore, the corresponding rectangular coordinates for point q are (-3√3, -3).

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Answer:

1)(45x 1.2) /2

2) $27 each

Step-by-step explanation:

Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)

45 x (20/100) = 45 x 0.2= $9

Now, we have to add the tip amount (9) to the initial bill amount  

45+9= $54 (total bill amount with tip)

(We could obtain the same result if we multiply the initial bill amount by 1.2)

Finally, we have to divide the final bill amount by 2:

54/2 = $27 each

1) (45x 1.2) /2

2) $27 each

Feel free to ask for more if needed or if you did not understand something.

Answer:

3 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

13x+20

Answer:

Let's assume that the distance between Chicago and Hoopertown is represented by 'x' miles.

According to the given information:

Raymond lives 23 miles from Chicago, so the distance between Amanda and Chicago is 23 - 15 = 8 miles.

Since Amanda lives halfway between Charlie and Chicago, the distance between Charlie and Chicago is also 8 miles.

Therefore, the distance between Charlie and Hoopertown is x - 8 miles.

Since Charlie lives halfway between Chicago and Hoopertown, the distance between Raymond and Charlie is (x - 8) / 2 miles.

Given that Raymond lives 15 miles from Amanda, we can set up the following equation:

(x - 8) / 2 = 15

To solve for x, we can multiply both sides of the equation by 2:

x - 8 = 30

Next, we can isolate x by adding 8 to both sides of the equation:

x = 38

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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If the largest number in the data set increases the standard deviation will increase.

Let us suppose that we are given a data set with 9 distinct observations.

It is given that the largest number in the data set increases.

We know that,

Standard deviation = \(\sqrt{ \frac{sum[(X-m)^{2}]}{N}}\)

Where,

X = Element of data set

m = mean of the data set

N = number of elements in the data set

Let us consider our data set to be:-

1,2,3,4,5,6,7,8,9

Here,

Mean, m = (1+2+3+4+5+6+7+8+9)/9 = 45/9 = 5

Hence,

\(sum(X-m)^{2}=(1-5)^{2}+(2-5)^{2}+(3-5)^{2}+(4-5)^{2}+(5-5)^{0}+(6-5)^{2}+(7-5)^{2}+(8-5)^{2}+(9-5)^{2} = 16+9+4+1+0+1+4+9+16=60\)

N = 9

Hence

Standard deviation = \(\sqrt{\frac{60}{9} }=\sqrt{\frac{20}{3} } =2.58 (approximately)\)

Now, let the largest element of the set that is 9 increases to 18.

Hence,

Mean , m = (1 +2+3+4+5+6+7+8+18)/9 = 54/9 = 6

N = 9

\(sum(X-m)^{2}=(1-6)^{2}+(2-6)^{2}+(3-6)^{2}+(4-6)^{2}+(5-6)^{0}+(6-6)^{2}+(7-6)^{2}+(8-6)^{2}+(18-6)^{2} = 25+16+9+4+1+0+1+4+144=206\)

Standard deviation = \(\sqrt{\frac{206}{9} }=4.78(approximately)\)

Hence, we can clearly see that the standard deviation increases.

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Answer:

(x-1)(x-2)(x-3)

Step-by-step explanation:

hy vọng nó giúp

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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Answer:

In nonlinear optimization, it is not true that the solution will always result in a global minimum, and therefore, running the model once might not be sufficient. Nonlinear optimization problems can have multiple local minima, and finding the global minimum can be challenging. So, The correct answer is false.

Step-by-step explanation:

In nonlinear optimization, it is not always guaranteed that the solution will result in a global minimum. The solution may converge to a local minimum instead. Therefore, it may be necessary to run the model multiple times with different starting points to ensure that the global minimum is reached.

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Answer:

1.3,-1, and -4

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

y=3x

Step-by-step explanation:

The equation of the line is y=3x

Answer:

56.4

Step-by-step explanation:

The area of the rectangular base is \((4.5)(3.5)=15.75\) square feet.

The combined area of the four triangular faces is \(4(1/2)(3.5)(5.8)=40.6\) square feet.

Taking the sum of these areas, the surface area is \(40.6+15.75 \approx 56.4\) ft².

Answer:

-1

Step-by-step explanation:

if -1 is to replace the x in the equation of f -1 then you fill it in and the equation would be 1 - (-1 * -1) + (-1 * -1 * -1) and if you put the equation together you'll just get -1

The frequency table shows that there is a relationship between buying a hot dog and buying a drink at a baseball game. The huge 70.2% is evidence of this.

The frequency table is meant to show the relationship between variables. Of all the values provided, the relationship with the highest percentage is 70.2%.

This shows that the number of people who purchased a hot dog while also purchasing a drink constituted the highest number. None of the figures come close to this one. So, there is a strong relationship between the variables.

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Answer:

x= 12

Step-by-step explanation:

The solution is, he bought 3 bags of carrots and 8 bags of tomatoes.

An equation can be stated as a  mathematical statement that is made up of two expressions connected by an equal sign.  In its normal form in algebra, it can be said as of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Mark spent a total of $16.35 to buy a total of 11 bags of carrots and bags of tomatoes.

Each bag of carrots costs $1.05, and each bag of tomatoes costs $1.65.

let, he bought x bags of carrots and y bags of tomatoes.

now, we get,

x+y = 11 ....(1)

1.05x + 1.65y = 16.35 ....(2)

solving this, we get,

x= 3

y= 8

Hence, The solution is, he bought 3 bags of carrots and 8 bags of tomatoes.

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The covariance matrix of Y is given by

Cov (Y) =  

      [[1, 1, 0],

       [1, 2, 1],

       [0, 1, 2]]

The joint PDF of Y can be obtained as

fY(y1,y2,y3) = (1/√(2π))^3  * exp ( -1/2 * [y1^2 + y2^2 + y3^2 - 2y1y2 - 4y2y3 - 2y1y3])

The joint PDFs of Yi and Y2, Yi and Y3 and Y2 and Y3 are given by:

fY1Y2(y1,y2) = (1/√(2π))^2 * exp(-1/2 * (y1^2 + y2^2 - 2y1y2))

fY1Y3(y1,y3) = (1/√(2π))^2 * exp(-1/2 * (y1^2 + y3^2 - 2y1y3 - 4y2y3))

fY2Y3(y2,y3) = (1/√(2π))^2 * exp(-1/2 * (y2^2 + y3^2 - 4y2y3))

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