An electrician charges a $40 call-out fee and $80 per hour. On a particular job, the electrician charged $360. How long did the electrician work for?

Answer:

What's the full question? I'm not sure how to help with just this information :(

Shor's Algorithm Efficiency of Shor’s algorithm in the general case, when r does not divide 2, is calculated as follows:

Shor's algorithm is an effective quantum computing algorithm for factoring large integers. The algorithm calculates the prime factors of a large number, using the modular exponentiation, and quantum Fourier transform in a quantum computer.In this algorithm, the calculation of the quantum Fourier transform takes O(N2) quantum gates, where N is the number of qubits required to represent the number whose factors are being determined.

To calculate the Fourier transform efficiently, the number of qubits should be set to log2 r. The general form of Shor's algorithm is given by the following pseudocode:

1. Choose a number at random from 1 to N-1.

2. Find the greatest common divisor (GCD) of a and N. If GCD is not 1, then it is a nontrivial factor of N.

3. Use quantum Fourier transform to determine the period r of f(x) = a^x mod N. If r is odd, repeat step 2 with a different value of a.

4. If r is even and a^(r/2) mod N is not -1, then the factors of N are given by GCD(a^(r/2) + 1, N) and GCD(a^(r/2) - 1, N).

The efficiency of the algorithm is determined by the number of gates needed to execute it. Shor's algorithm has an exponential speedup over classical factoring algorithms, but the number of qubits required to represent the number whose factors are being determined is also exponentially large in the number of digits in the number.

In the general case when r does not divide 2, the efficiency of Shor's algorithm is reduced. However, the overall performance of the algorithm is still better than classical factoring algorithms.

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The formula to determine xx is

Total Cost = (Parking Cost + Ticket Cost) × Number of People

3 or 4 people can go to the amusement park with available budget.

The equation which can be used to determine the number of people who can go to the amusement park is:

Total Cost = (Parking Cost + Ticket Cost) × Number of People

Therefore;

The total cost is limited to the available budget of $137.75

The parking cost is $15.25

The ticket cost is $24.50

Number of people is X

So, $137.75 = ( $15.25 + $24.50) × X

$137.75 = $39.75 × X

$137.77 = X

$39.75

X = 3.47

Based on the answer gotten, 3 or 4 people can go to the amusement park with available budget.

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Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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It's tempting to say that increasing the speed limit has led to higher accident rates, but you have to be careful because other variables (e.g. cheaper gas or time of year the change was introduced) can also affect accident rates. The option C is correct.

Given the impact of the speed limit increase from 55 to 65 mph, there are more crashes in the 6 months after the speed limit change than in the 6 months before the speed limit change. speed.

The dependent variable is the variable that is attempted and expected in a survey and is "dependent" on the free aspect. In a survey, the scientist tries to find the conceivable influence on the reliable variable, which can be approximated by changing the free thing. The free aspect is the variable that the experimenter adjusts or controls, and should directly affect the dependent variable. Therefore, increasing the speed limit from 55 to 65 mph resulted in higher accident rates, you have to be careful with other variables.

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Answer:

a) The probability of drawing a king of hearts is 1/52, because there is only 1 king of hearts out of 52 cards.

b) The probability of drawing a diamond is 13/52, since there are 13 diamonds in a standard deck of 52 cards.

c) The probability of drawing a jack or queen is 8/52, since there are 4 jacks and 4 queens in a standard deck of 52 cards.

d) The probability of drawing a black card is 26/52, since there are 26 black cards (clubs and spades) in a standard deck of 52 cards.

e) Because there are 4 aces and 13 spades in a regular 52-card deck, the chance of drawing an ace or a spade is 17/52, but we must deduct the probability of drawing the ace of spades (which is already treated as a spade) to avoid double-counting

4/52 + 13/52 - 1/52 = 16/52 = 4/13.

We fail to reject the null hypothesis that means there is no sufficient evidence to warrant rejection of the claim that the mean lifetime of its fluorescent bulbs is 1500 hours. Option (2) is correct.

It is given in the question that:

Population mean μ = 1500 hours

Population standard deviation σ = 80 hours

Sample size n = 40

Sample mean = 1480 hours

Level of significance α = 0.05

Null hypothesis : Population mean = 1500

H₀: μ = 1500

Alternative hypothesis : Population mean  ≠  1500

H₁: μ ≠ 1500

Since the population standard deviation is known and the sample size is large (40 >30).

The z-statistics will be the appropriate one to apply.

\(z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{1480-1500}{\frac{80}{\sqrt{40}}}\)

\(z = \frac{-20}{\frac{80}{2\sqrt{10}}}}\)

\(z = \frac{-20\times 2\sqrt{10}}{80}}\)

\(z = \frac{-40\sqrt{10}}{80}}\)

\(z = \frac{-\sqrt{10}}{2}}\)

z = -1.58113883

The critical value of z at 5% level of significance is 1.96.

Since, the calculated z- values is less than the critical value of z at 5% level of significance. Thus, we fail to reject the null hypothesis.

That means there is no sufficient evidence to warrant rejection of the claim that the mean lifetime of its fluorescent bulbs is 1500 hours. Which is given in the option (2).

Hence, the option (2) is correct.

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Answer:The correct answer is:

90 feet.

Explanation:

Each wire forms a right triangle with the tree and the ground. The height from the ground to the point on the tree the wire is attached to, 3 feet, is one leg. The length from the tree to where the wire is staked in the ground, 4 feet, is the other leg.

We use the Pythagorean theorem to find the hypotenuse: 3²+4²=c²; 9+16=c²; 25=c²; √25=√(c²); 5=c

This means each wire will be 5 feet long. There are 3 wires per tree, which gives us 5*3 = 15 feet. There are 6 tree, so this is 15*6 = 90 feet of wire.

Step-by-step explanation:

The solution is, Andy will need 102 ft of stones in total.

The trapezoid in question is an isosceles trapezoid with base lengths of 12 ft and 8 ft and both sides equal to 7 ft.

       ____8 ft___

      /                    \

7 ft /                      \ 7 ft

    /____________\

             12 ft

The perimeter of a single trapezoid is:

P = 8 ft + 7 ft + 7 ft + 12 ft = 34 ft

Andy will need 34 ft of stones per trapezoid.

So in total:

3 x 34 ft = 102 ft

Andy will need 102 ft of stones in total.

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complete question:

andy is making 3 trapezoidal garden boxes for his backyard. Each trapezoid will be the size of the trapezoid below. He will place stone blocks around the borders of the boxes. How many feet of stones will andy need.

The equation of the line that passes through (-5,3) and (1,1) is y = (-1/3)x + 3.

To find the equation of the line that passes through the given points, we need to use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line. The slope formula is:

m = (y₂ - y₁) / (x₂ - x₁)

Plugging in the given points, we get:

m = (1 - 3) / (1 - (-5))
m = (-2) / (6)
m = -1/3

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is:

y - y₁ = m(x - x₁)

Plugging in the slope and one of the given points, we get:

y - 3 = (-1/3)(x - (-5))
y - 3 = (-1/3)(x + 5)
y - 3 = (-1/3)x - (5/3)
y = (-1/3)x + (9/3)
y = (-1/3)x + 3

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The probability of obtaining a sum less than or equal to 4 is:  1/12

An experiment consists of tossing two ordinary dice and adding their numbers together. To determine the probability of obtaining a sum of 8, we need to first count the number of ways we can get a sum of 8. We can do this by listing all the possible combinations of dice rolls that add up to 8:

2+6, 3+5, 4+4, 5+3, 6+2

So there are 5 ways to get a sum of 8.

Next, we need to determine the total number of possible outcomes for this experiment. Each die has 6 sides, so there are 6 x 6 = 36 possible outcomes.

Therefore, the probability of obtaining a sum of 8 is:

Number of ways to get a sum of 8 / Total number of possible outcomes = 5/36

Now let's determine the probability of obtaining a sum less than or equal to 4. We can use the same method as before:

1+1, 1+2, 2+1

So there are 3 ways to get a sum less than or equal to 4.

The probability of obtaining a sum less than or equal to 4 is:

Number of ways to get a sum less than or equal to 4 / Total number of possible outcomes = 3/36 = 1/12

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(C)

Given data:

The given inequalities.

The graph of the given inequalities is shown below.

Answer:

The answer might be d.

Answer:(x,y)=(1/3 , 4/3)

Step-by-step explanation:

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

407.4

Step-by-step explanation:

Answer:

Partial product 1: 194

Partial product 2: 388

Answer: 407.4

Answer:

28 more pouds of dog food

Step-by-step explanation:

Answer:

28 or C

Step-by-step explanation:

Got it right on my test.

The surface area of balloon is growing at a pace of 160 square centimetres per minute is when radius is 10 centimetres.

We are aware that the formula

\(A=4r ^{2} \)

gives the area of a sphere, where A is the amount and r the radius of a circle.

We must take the gradient of the surface site in relation to time to determine how quickly the total area is changing.

\(dA/dt = d/dt(4r ^{2} ).\)

The following can be written using the chain rule:

\(dA/dt = 8r(dr/dt)\)

As we are aware that the radius changes at a rate of 2 centimetres per minute, dr/dt=2. This number can be used as a substitute in the equation above:

\(dA/dt = 8πr (2)\)

The balloon's surface area when the radius equals 10 centimetres equals:

\(A = 4π(10)^2 = 400π\)

The equation we calculated above can now be changed by substituting the radius as well as the changes in the rate of radius:

\(dA/dt = 8π(10)(2) = 160π\)

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The equation for break even is 8P = 48

An equation is an expression that states the equality of two things expressed in different form.

In the given question

Conard spent $48 for art supplies

Canvas costs $2

He plans to sell his painting for $10

∴ Without the canvas his paintings costs $(10 - 2)

= $8

So, no. of paintings (P) to break even he needs to sell

8P = 48

P = 6

∴ Conard needs to sell 6 paintings to break even.

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Answer:

Step-by-step explanation:

If the lengths of two sides of a triangle are given the third side must be less than the sum of those two sides, but more than the value of the difference between the given two sides.

So for #9, the answer is 4 (which is 12-8) <x<16 (which is 12+8)

#10. 10<x<16

#11. 19<x<61

#12. 6<x<16

Below are what would happen if the 3rd side was too big (left) or too small (right)

Answer:

64.632546 is the answer i got

There are 798 tiles on each side of the square courtyard.

For us to estimate the number of tiles on each side of the square courtyard, we have to find the square root of the total number of tiles.

Given

636,804 square tiles in the courtyard.

The square root of 636,804:

√636,804 ≈ 798.5

Since we can't have a fraction of a tile, we round down the decimal value to the nearest whole number:

Therefore, there are 798 tiles on each side of the square courtyard.

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The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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\(\frac{1187.25}{21.25}\) is equal to the maximum number of players the team can bring to the tournament, that is, \(x\).

In this context, we are to represent tape diagrams that could represent the situation where members of a baseball team raised $1187.25 to go to a tournament.

They rented a bus for $783.50 and budgeted $21.25 per player for meals. The tape diagram should be one that represents the context if x represents the number players the team can bring to the tournament.

Tape diagrams, also known as bar models, are pictorial representations that are helpful in solving word problems. They represent numerical relationships between quantities using bars or boxes.

Tape diagrams are used to solve a wide range of word problems, including problems related to ratios, fractions, and percents.

According to the context given, a tape diagram that could represent the situation where x represents the number of players the team can bring to the tournament can be illustrated as follows:
Hence, the tape diagram above represents the given situation if x represents the number of players the team can bring to the tournament.

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Answer:

x = 13

Step-by-step explanation:

Step 1: Define

f(x) = (x - 1)/2

f(x) = 6

Step 2: Substitute and solve for x

6 = (x - 1)/2

12 = x - 1

x = 13

Answer:

x=-55

Step-by-step explanation:

7+x/5=-4

x/5=-11

x=-55

Done!

Estimation involves using a convenient value, close to the actual value, for calculations; especially in the absence of a calculator. The estimated number of gallons she needs to get to the station is 3 gallons.

Given that:

\(Speed= 70mph\)

\(Time = 1.25hr\) ---- equivalent of 1hr 15mins

\(Rate = 30 m/gallon\)

First, she will need to estimate the distance she can cover using:

\(Distance= Speed \times Time\)

An estimate of the calculation is:

\(Distance= 70mph \times 1.5 = 105m\)

The number of gallons is then estimated as follows:

\(Gallons = D ista nce\div Rate\)

Because the estimated distance is 105 m; she can use 35 as an estimate the rate of miles per gallon; instead of 30

\(Gallons = 105m \div 35m/gallon\)

\(Gallons = 3gallon\)

So, the estimated number of gallons she needs is 3 gallons.

We can check if the estimate is true or close by calculating the actual values.

\(Distance= Speed \times Time\)

\(D i s t a n c e= 70mph \times 1.25hr=87.5m\)

\(Gallons = D ista nce\div Rate\)

\(Gallons = 87.5m \div 30m/gallon =2.92m\)

Hence, the estimated number of gallons she needs to get to the station is 3 gallons.

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