Which of these numbers rounds to 7.62

7.546
7.639
7.670
7.720


HELP mE

The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).

When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.

Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.

Therefοre, the cοrrect answer is c. O(lοgN).

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Given:

f(1) = 1 and f(-3) = 17

To find:

The lines function f.

Solution:

If f(a) = b, it means the function f passes through (a,b).

Here, f(1) = 1, it means the function f passes through (1,1).

f(-3) = 17, it means the function f passes through (-3,17).

If a linear function passes through two point \((x_1,y_1)\text{ and }(x_2,y_2)\), then the equation of line is

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is

\(y-1=\dfrac{17-1}{-3-1}(x-1)\)

\(y-1=\dfrac{16}{-4}(x-1)\)

\(y-1=-4(x-1)\)

\(y-1=-4x+4\)

Add 1 on both sides.

\(y-1+1=-4x+4+1\)

\(y=-4x+5\)

Put y=f(x), to write in function notation.

\(f(x)=-4x+5\)

Therefore, required lines function is \(f(x)=-4x+5\).

Total time = 2 hours

Time playing video games = 50 minutes

We have to write an equation:

Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes

Time must be in the same unit ( minutes)

since 60 minutes =1 hour

2 hours = 2 (60) =120 minutes

Back with the equation:

120 x = 50

Solving for x

x = 50/120

x = 0.42

In percentage form:

0.42 x 100 = 42%

The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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The value of expression is,

1) log₃ 2 = 0.64

2) log ₁₂ 24 = 1.29

3) log₄ 18.7 = 2.12

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

1) log₃ 2

2) log ₁₂ 24

3) log₄ 18.7

Now, We can simplify as;

1) log₃ 2

= log 2 / log 3

= 0.3 / 0.47

= 0.64

2) log ₁₂ 24

= log 24 / log 12

= 1.38 / 1.07

= 1.29

3) log₄ 18.7

= log 18.7 / log 4

= 1.27 / 0.60

= 2.12

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Check the picture below.

Answer:B. 3/14

Step-by-step explanation: so basically first you add all the numbers to get your total which is 56 then, you put 12 the number of orange trees over 56 and simplify it by dividing it by two which gives you 6/28 then you divide that by two again which gives you your answer 3/14 HOPE THIS HELPS!

The ratio of orange trees to the total number of trees is 5 : 1.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The table shows the number of trees at Citrus Orchards.

The total number of trees at Citrus Orchards is (30 + 14 + 12 + 14).

= 70.

Therefore, The ratio of orange trees to the total number of trees is,

orange trees : total number of tress = 70 : 14 = 10 : 2 = 5 : 1

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The compressed volume of the cylinder is approximately 5 cubic inches.

To find the compressed volume of the cylinder, we can use the compression ratio provided. The compression ratio is defined as the ratio of the volume of the cylinder before compression (expanded volume) to the volume of the cylinder after compression (compressed volume).

Let's denote the compressed volume as Vc and the expanded volume as Ve.

The compression ratio is given as 9.8 to 1, which means Ve is 9.8 times greater than Vc.

We are given that the expanded volume (Ve) is 49 cubic inches. Let's set up the equation:

Ve/Vc = 9.8/1

Substituting the values:

49/Vc = 9.8/1

Now, we can solve for Vc by cross-multiplication:

9.8 * Vc = 1 * 49

9.8 * Vc = 49

Dividing both sides by 9.8:

Vc = 49/9.8

Vc ≈ 5

Therefore, the compressed volume of the cylinder is approximately 5 cubic inches.

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Answer:

x= 7

Step-by-step explanation:

3x= 13+8

3x= 21

x= 21/3

x= 7

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Answer: y = (5)(2)x-10

Step-by-step explanation:

Answer:

hey I am not about what the question says but I think this is the answer:

3r=p+5

so the subject is 3r

The number of adult tickets sold is 55 and the number of student tickets sold is 2.

Let the number of student tickets be x and the number of adult tickets be y.

Step 1: Constructing the equations

Given,Student tickets cost $5 and adult tickets cost $7.The dance team sold 57 tickets and made $395. In order to find the number of student and adult tickets sold, we need to construct two equations.Using the given information, we can write the following equations:

x + y = 57  (Equation 1)

5x + 7y = 395  (Equation 2)

Step 2: Solving the equations We need to solve the equations we have constructed to find the values of x and y. We can do this using the elimination method by multiplying the first equation by 5 and subtracting the second equation from it.

5x + 5y = 285  (Multiplying Equation 1 by 5)

5x + 7y = 395  (Equation 2)2y = 110  

(Subtracting Equation 2 from Equation 1)

y = 55  (Dividing by 2)

Now we can substitute y = 55 in Equation 1 to find x:

x + 55 = 57  (Substituting y = 55) x = 2

Therefore, the number of adult tickets sold is y = 55 and the number of student tickets sold is x = 2.

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Answer:

13i, -13i

Step-by-step explanation:

x^2=-169

169=(13)^2

x^2=-(13)^2

the square root of -1 is i ( imaginary number )

(-13)^2=(13)^2 so x is 13i and -13i

Answer:

13i

Step-by-step explanation:

So I would solve for x

This is zero term factoring

This is a square root factor and 169's square root is 13.

However we need to factor -169

This is where imaginary numbers come in. i= Square root of -1

13i would be the answer

The number of students in the class = 20

"It is a number or ratio that can be expressed as a fraction of 100."

For given example,

30 percent of the students in your class like basketball.

We need to find the total number of students if 6 students like basketball.

Let there are 'x' students in the class.

⇒ x × 30% = 6

⇒ x × (30/100) = 6

⇒ x = 6/0.3

⇒ x = 20

Therefore, there are 20 students in the class.

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Answer:

Step-by-step explanation:

x= -b/2a = -64/2(-16) = 2

showing that the object will reach its highest point at 2 seconds

Answer:

Step-by-step explanation:

=5^-3 X 2^-1

= 1/5³ X 1/2

=1/(5³X 2)

=1/250 (Answer)

OR

=0•004 (Answer)

Answer:

1/250 or 0.004.

Step-by-step explanation:

5^-3 x 2^-1

= 1/5^3 * 1/2

= 1/125 * 1/2

= 1/250.

Answer:

Step-by-step explanation:

72.34 x .2

the tip would be $14.47

Answer:

Your restaurant bill is $72.34. You want to leave about a 20% tip. Which is the best estimate of a 20% tip?A. $14.00B. $14.40C. $14.60D. $14.70

Step-by-step explanation:B is the right answer. You have to multiply 72.34 by 0.2 and you get 14.468. So B is the closest.

Answer:

ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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Answer:

278, pls brainliest

Step-by-step explanation:

Answer:

278 seats per section

Step-by-step explanation:

Division

The division allows us to divide or 'share' numbers to find the answer to a problem.

For example, to evenly share 10 sweets between 5 kids, we use division to find 10/5 = 2 sweets per kid.

It's given a high school football stadium has 3,892 seats distributed in 14 sections and each section has the same number of seats.

To find the number of seats in each section we use division:

3,892 seats / 14 sections = 278 seats per section

Answer: 0.06 repeated, I'm sorry if it's wrong! I used a calculator.

Step-by-step explanation:

Calculating 2 divided by 5 / 6 should give you the answer 0.06666666666.

Therefore, the function y = 4x ln(x) has a relative minimum at x ≈ 0.368.

To find the relative maxima and relative minima of the function y = 4x ln(x), we can differentiate the function with respect to x and set the derivative equal to zero.

Taking the derivative of y with respect to x, we get:

dy/dx = 4 ln(x) + 4

Setting dy/dx equal to zero and solving for x:

4 ln(x) + 4 = 0

ln(x) = -1

x = e^(-1)

x ≈ 0.368

To determine whether this critical point corresponds to a relative maximum or minimum, we can analyze the second derivative.

Taking the second derivative of y with respect to x, we get:

d^2y/dx^2 = 4/x

Substituting x = e^(-1), we get:

d^2y/dx^2 = 4/(e^(-1)) = 4e

Since the second derivative is positive (4e > 0) at x = e^(-1), it confirms that x = e^(-1) is a relative minimum.

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After 5 training cycles, the weight lifter will be able to bench-press is, 170.93 pounds.

We have,

The function is,

W(x) = 145(1.05)ˣ represents the weight she is lifting after completing x training cycles.

In this case, x is 5,

so we substitute the value into the function.

W(5) = 145 (1.05)ˣ

       = 145(1.27628)

       = 170.93 pounds.    

The function W(x) = 145(1.05) is an exponential growth function, where the weight being lifted increases over time.

The base of the exponential function, 1.05, represents the rate of growth.

In this case, the rate of growth is,

1.05 - 1 = 0.05 or 5%

Each time the weight lifter completes a training cycle, the weight she is lifting is multiplied by 1.05.

Hence, After 5 training cycles, the weight lifter has multiplied the initial weight of 145 pounds by 1.05 five times,

= 145 x 1.05

= 170.93 pounds.

So, This demonstrates the compounding effect of exponential growth, where the weight being lifted gradually increases with each training cycle.

Therefore, after completing 5 training cycles, the weight lifter will be able to bench-press approximately 170.93 pounds.

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Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer: 1. Slope equals 3/4 or 0.75,  2. Slope equals -5/2 or -2.5

Step-by-step explanation:

1. Subtract y coordinates 4 and -2 to get 6. Then subtract x coordinates 4 and -4 to get 8, so that is equal to 6/8. Then simplify to get 3/4 or 0.75

2. Subtract y coordinates 10 and -5 to get -15. Then subtract x coordinates 0 and -6 to get 6, so that is equal to-15/6. Then simplify to get -5/2 or -2.5.

Answer:

Option C.

Step-by-step explanation:

Hey there!

The points are; (-4,-4) and (-4,-10).

Use distance formula.

\(d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)

~ Put all values.

\(d = \sqrt{ {( - 4 + 4)}^{2} + ( { - 10 + 4)}^{2} } \)

~ Simplify it.

\(d = \sqrt{ {0}^{2} + ( { - 6)}^{2} } \)

\(d = \sqrt{36} \)

Therefore, distance between the points is 6 units.

Hope it helps...

Answer:

Option: C (6)

Step-by-step explanation:

The solution is \(X = 122.0\), and the proportion in the equation is, \(X / 6 = 61x / 18\).

The notion of an equation in algebra is a theoretical statement that demonstrates the equality of two formalisms. For instance, the expression 3x + 5 = 14 consists of the two solutions 3x + 5 and 14, that are separated by the 'equal' sign.

Every utterance can be composed of a numerical value, a constants, or a mixture of numerals, constants, or operation signs. Two expressions joined by an equation form an equation.

We can cross-multiply,

18 * X = 61x * 6

Simplifying the right-hand side,

\(18 * X = 366x\)

Dividing both sides by \(18x\),

\(X / 6 = 366x / 18x\)

Simplifying:

\(X / 6 = 61 / 3\)

\(X / 6 = 20.3333\)

Multiplying both sides by \(6\):

\(X = 122.0\)

Therefore, the solution is \(X = 122.0\), and the proportion is:

\(X / 6 = 61x / 18\)

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The solution is x = 3.5633 of 18 / x = 61x / 6.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

To set up the proportion, we need to equate the ratios of the corresponding terms in the two fractions, which gives:

18 / x = 61x / 6

Simplifying the right-hand side by dividing both the numerator and denominator by 6 gives:

18 / x = 61x / 6

18 / x = 10.1667x

Now we can cross-multiply to get:

18 * 10.1667x = x * 6

Simplifying and dividing both sides by 6:

(18 * 10.1667) * x = 6 * x

x = 3.5633

Therefore, the solution is x = 3.5633.

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In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

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