With a full tank of gas you can drive 490 miles and your car gets 25 miles per gallon of gas

Using binary search to find the key 60 in the given list, the elements compared in order are: 38, 76, 60.

1. We start by comparing the key (60) to the middle element of the list, which is 38. Since 60 is greater than 38, we know that the key must be in the second half of the list.
2. Next, we compare the key to the middle element of the second half of the list, which is 76. Since 60 is less than 76, we know that the key must be in the first half of the second half of the list.
3. We then compare the key to the middle element of the first half of the second half of the list, which is 50. Since 60 is greater than 50, we know that the key must be in the second half of the first half of the second half of the list.
4. Next, we compare the key to the middle element of the second half of the first half of the second half of the list, which is 72. Since 60 is less than 72, we know that the key must be in the first half of the second half of the first half of the second half of the list.
5. Finally, we compare the key to the middle element of the first half of the second half of the first half of the second half of the list, which is 60. Since 60 is equal to 60, we have found the position of the key in the list.


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if im not wrong i think thats it

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

50

Step-by-step explanation:

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

x = 24

Step-by-step explanation:

10(x+12)=15x  (Given)

10x + 120 = 15x (Distributive property of equality)

-5x = -120 (Subtraction property of equality)

x = 24 (Division property of equality)

Answer:

a

Step-by-step explanation:

because- the numbers and then choose correct options

Answer:

$3.20

Step-by-step explanation:

Answer:

24 inches

Step-by-step explanation:

30 divided 5

that equals 6

then times 6 with 4

you get 24 inches

The standard deviation is the positive square root of the variance.

The variance is a measure of how spread out a set of data is. It is calculated as the average of the squared differences from the mean. The variance is always a non-negative number because the squared differences are always non-negative.

The standard deviation is the square root of the variance. It is also a measure of how spread out a set of data is, but it is expressed in the same units as the original data, whereas the variance is expressed in squared units. The standard deviation is always non-negative because it is the square root of the non-negative variance.

Therefore, the answer is (a) positive square root of the variance.

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The five equivalent fractions of 4/5 are:

4 × 2/5 × 2 = 8/10

4 × 3/5 × 3 = 12/15

4 × 4/5 × 4 = 16/20

4 × 5/5 × 5 = 20/25

4 × 6/5 × 6 = 24/30

8 : 10

12 : 15

16 : 20

20 : 25

24 : 30

Answer:

Ex1. SAS, ASA, SSS, SAS

Ex2. There are 2 heights and equal length

Dtu =uts and ut common side du=us

Rq=sd and sq common side rs=qd

The average number of cars in the system is approximately 0.68 cars (rounded to two decimal places).

To solve this problem, we can use the M/M/1 queueing model, where "M" stands for Markovian or memoryless arrivals and service, and "1" represents a single server.

Let's calculate the average time a car spends in the system:

The arrival rate, A, is given as 3 every 10 minutes, which means A = 3/10 per minute.

The service rate, μ, is the inverse of the average service time. Since the average service time is 1.5 minutes, we have μ = 1/1.5 = 2/3 per minute.

The utilization factor, ρ, can be calculated as p = A/u. In this case, ρ = (3/10) / (2/3) = (3/10)  (3/2) = 9/20.

The average time a car spends in the system, T, is given by T = 1 / (u - A). Substituting the values, we get T = 1 / (2/3 - 3/10) = 1 / (4/6 - 3/10) = 1 / (2/6) = 3/2 = 1.5 minutes.

Therefore, the average time a car is in the system is 1.5 minutes.

To calculate the average number of cars in the system, N, we can use Little's Law, which states that N = A T, where λ is the arrival rate and T is the average time in the system.

Substituting the values, we have N = (3/10) 1.5 = 9/20  3/2 = 27/40 = 0.675.

Therefore, the average number of cars in the system is approximately 0.68 cars (rounded to two decimal places).

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Answer:

where is the question?

Step-by-step explanation:

I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"

the value of the given iterated integral is 0.

To evaluate the iterated integral 3 2 4z 0 ln(x) 0 xe−y dy dx dz, we need to follow the order of integration dz, then dx, then dy.

Starting with dz:

∫ from 0 to 4 of ∫ from 0 to ln(2z) of ∫ from 0 to 3xe^(-y) dy dx dz

Simplifying the middle integral with respect to y:

∫ from 0 to 4 of ∫ from 0 to ln(2z) of -3x(e^(-ln(2z))-e^(-0)) dx dz

= ∫ from 0 to 4 of ∫ from 0 to ln(2z) of -3x(2z-1) dx dz

= ∫ from 0 to 4 of [-3/2 * x^2 * (2z-1)] evaluated from 0 to ln(2z) dz

= ∫ from 0 to 4 of [-3/2 * (ln(2z))^2 * (2z-1)] dz

= -3/2 * ∫ from 0 to 4 of (ln(2z))^2 * (2z-1) dz

Using integration by substitution with u = ln(2z), du/dz = 1/(z*ln(2)), and dz = du/(ln(2)), we get:

= -3/2 * ∫ from 0 to ln(8) of (u^2/ln^2(2)) * (2e^u - 1) du

= -3/2 * [(2u^2e^u)/ln^2(2) - (2u^2)/ln^4(2) - (2ue^u)/ln^2(2) + (2u)/ln^4(2) - (e^u)/ln^2(2)] evaluated from 0 to ln(8)

= -3/2 * [(64e^ln(8))/ln^2(2) - (64)/ln^4(2) - (8e^ln(8))/ln^2(2) + (8)/ln^4(2) - (e^ln(8))/ln^2(2)] + 3/2 * [0]

= -3/2 * [48 + 32/ln^2(2) - 8 - 8/ln^2(2) - 1/ln^2(2)]

= -3/2 * [40 + 24/ln^2(2)]

= -60 - 36/ln^2(2)

Therefore, the value of the iterated integral 3 2 4z 0 ln(x) 0 xe−y dy dx dz is -60 - 36/ln^2(2).
To evaluate the given iterated integral, which is ∫₀³∫₀²∫₀ˡⁿ(x) (4z * x * e^(-y) dy dx dz), we will solve it step by step, starting with the innermost integral.

1. First, we evaluate the integral with respect to y:

∫₀ˡⁿ(x) (4z * x * e^(-y) dy) = -4zx(e^(-y))|₀ˡⁿ(x) = 4zx(e^(-ln(x)) - e^0) = 4zx(1/x - 1)

2. Next, we evaluate the integral with respect to x:

∫₀² (4zx(1/x - 1) dx) = 4z ∫₀² (1 - x) dx = 4z [x - (1/2)x²]|₀² = 4z(2 - 2) = 0

3. Finally, we evaluate the integral with respect to z:

∫₀³ (0 dz) = 0

Thus, the value of the given iterated integral is 0.

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Answer:

AB=CD=10,AD=BC=29

Step-by-step explanation:

11111111111

Answer:

------------------------

AD and AB are adjacent sides hence their sum is half the perimeter:

And we are given that AD is 9 more than twice AB:

Substitute this into first equation:

Find AD by substituting the value of AB:

So the side lengths are:

Answer: 26

Step-by-step explanation:

Answer:

26 is the answer because we have to subtract when the signs of the number are diffrent and add when it is same . so +18 - (-8) = 26

Answer:

Option (D): f(x) = 2x^2 – 3

Step-by-step explanation:

Math.

The function that represents the data in the table is y=2x²-3

A relation is a function if it has only One y-value for each x-value.

Let us check the function of the given data by plugging any ordered pair in the given functions

Let us take a point (1, -1) to check each function

(a) y=x/2-3

-1= 1/2-3

-1=-5/2

So y=x/2-3 is not the function

(b) y=2ˣ-3

-1=2-3

-1=-1

Now let us check for other point

5=4-3

5=1

This function is not satisfied for all points

(c) y=2x-3

-1=-1

For point (2, 5)

5=-1

This function is not satisfied for all points

(d) y=2x²-3

-1=2-3

-1=-1

Now 5=8-3

5=5

Hence, the function that represents the data in the table is y=2x²-3

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Answer: This is not a function

======================================================

Explanation:

If x = 1, then,

x = |y|

1 = |y|

|y| = 1

y = plus/minus 1

y = 1 or y = -1

The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.

Similar situations occur with x = 2 and x = 3.

This means we do not have a function. A function can only be possible if each input leads to exactly one output.

Answer:

so your answer will be A!!!!!!!

Step-by-step explanation:

\(-11/8+(-11/4)\)

\(=-11/8-11/4\)

\(=-11/8-22/8\)

\(-33/8\)

so this is because \(x\) represents \((-11/8)+\) in the equation \(-11/8+(-11/4)\), and \(y\) represents \(+(-11/4)\) in the same equation.

hope this helps!!!!

x = # of days Maria worked

x + 5 = # of days Fred worded

$16(x + 5) + $18x = $1780

Let's distribute the $16

$16x + $80 + $18x = $1780

Combine like terms

$34x + $80 = $1780

Subtract $80 from both sides.

$34x = $1700

Divide both sides by $34

x = 50 days

Maria worked 50 days

The number of toffees Sharon got is 10.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Number of toffees Sharon has = (ratio of toffees Sharon got / sum of ratios) x total toffees shared.

Sum of ratios -= 2 + 5 = 7

(5/7) x 14 = 10

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We are told that c(16x + 14) = 32x + d

Now, if  16x + 4 is multiplied by 2 we will have:

2(16x+14)=32x+28

then 32x + 28 = 32x + d

Since C(16x+14) = 32x+d

and 2 (16x+14) = 32x + d

then c = 2, d = 28

Therefore, we have shown that \(3xy + 4 \)is odd when x and y are both odd integers.

To show that 3xy + 4 is odd, we will consider the fact that x and y are both odd integers since they are not even.

Let x = 2a + 1 and y = 2b + 1, where a and b are integers.

Now, we can substitute these expressions into the given equation:

\(3xy + 4 = 3(2a + 1)(2b + 1) + 4 \)

= \( 3(4ab + 2a + 2b + 1) + 4 \)

= \( 12ab + 6a + 6b + 3 + 4 \)

=  \(2(6ab + 3a + 3b) + 7 \)

The term (6ab + 3a + 3b) is an integer, let's call it c. Thus, our equation becomes:

2c + 7

Since 2c is even, and 7 is odd, the sum (2c + 7) is odd.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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By using the concepts of recurrence formula and sum, the sum of the first 26 terms of the sequence is equal to 299.

In this problem we have a recurrence formula of the following form: a₁ = C and aₙ = aₙ₋₁ + k. Then, the sum of first n terms of the sequence is:

s = a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ

First, determine the first 26 terms of the series:

a₁ = 49

a₂ = 46

a₃ = 43

a₄ = 40

a₅ = 37

a₆ = 34

a₇ = 31

a₈ = 28

a₉ = 25

a₁₀ = 22

a₁₁ = 19

a₁₂ = 16

a₁₃ = 13

a₁₄ = 10

a₁₅ = 7

a₁₆ = 4

a₁₇ = 1

a₁₈ = - 2

a₁₉ = - 5

a₂₀ = - 8

a₂₁ = - 11

a₂₂ = - 14

a₂₃ = - 17

a₂₄ = - 20

a₂₅ = - 23

a₂₆ = - 26

Second, sum all the terms found in the previous step:

s = 49 + 46 + 43 + 40 + 37 + 34 + 31 + 28 + 25 + 22 + 19 + 16 + 13 + 10 + 7 + 4 + 1 - 2 - 5 - 8 - 11 - 14 - 17 - 20 - 23 - 26

s = 299

The sum of the first 26 terms of the sequence is equal to 299.

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Answer:

93

Step-by-step explanation: The first term of AP is -5 and second term means -3.  

Common difference(d) = second term - first term

d = (-3)-(-5)

d= 2

Now using the formula of nth T  

n

​

=a  

1

​

+(n−1)d

Here a  

1

​

=−5,n=50,d=2

Puting these values in the formula of of nth term we get  

a  

n

​

=−5+(50−1)2

a  

n

​

=−5+98

a  

n

​

=93

The percent of change is an increase in altitude of the weather balloon.

Change in altitude = New altitude - Original altitude

= 103 ft - 100 ft

= 3 ft

Percentage change = Change in altitude / Original altitude × 100

= 3 / 100 × 100

= 3%

Therefore, the percentage change in the altitude of the weather balloon is 3%.

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the formula is simple interest = Price x rate x time

$2000 x 5 x 10% with is1000

To find the probability that more than half of the members of a random sample of 200 people favor the liquor ban, we can use the binomial distribution. Given that 45% of the population favors the ban, the probability of an individual favoring the ban is 0.45.

In this scenario, we can model the situation using the binomial distribution. Let's define a success as an individual favoring the liquor ban, and the probability of success as 0.45 (45%). We want to calculate the probability of having more than half of the sample favoring the ban.

To calculate this probability, we need to sum the probabilities of all sample sizes greater than 100. We start by calculating the probability of exactly 101, then 102, and so on, up to 200. The probability of exactly \(k\) successes out of a sample of size 200 can be calculated using the binomial probability formula:

\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1-p)^{n-k}\]

where \(n\) is the sample size (200), \(k\) is the number of successes, and \(p\) is the probability of success (0.45).

Once we calculate the probabilities for each sample size greater than 100, we sum them all together. The final probability is obtained by subtracting this sum from 1, since we are interested in the probability of more than half the sample favoring the ban.

By performing these calculations, we can find the probability that more than half the members of the sample favor the liquor ban based on the given parameters.

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Answer:

Step-by-step explanation:

24 : 30 = 4 : 5

44 : 99 = 4 : 9

108 : 36 = 3 : 1

33 : 9 = 11 : 3

49 : 14 = 7 : 2