-6*4/2^3-15 help please

Answer:

Let us solve this

We’ll do it by the elementary method

Suppose the original fraction be x/y

Given, x : y = 2:3 ……(i)

then y = 3/2x

Now , by condition,

(x-6)/y = 2/3 * x/y

=> (x-6)/y = 4/9 [ from (i) ]

=> x-6 = 4/9y = (4/9)(3/2)x = 2/3x

=> 3x-18 = 2x [cross multiplication]

=> x = 18

Your Answer: the numerator of the original fraction is = 18

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Answer:

C

Step-by-step explanation:

Answer: Distance(Miles)

140,420,560

Time(Hours)

5,10

The statement " Arrhenius equation can rearrange to give a linear relationship by taking the natural logarithm." is true.

The Arrhenius equation is an important tool in chemical kinetics that describes the temperature dependence of reaction rates. It relates the rate constant of a chemical reaction to the activation energy and temperature at which the reaction occurs. The equation is given by:

\($k = A\mathrm{e}^{-\frac{E_a}{RT}}$\)

where \($k$\) is the rate constant,\($A$\)is the pre-exponential factor, \($E_a$\) is the activation energy, \($R$\)is the gas constant, and \($T$\) is the temperature in Kelvin.

Although this equation is useful, it is not always easy to interpret experimentally. The natural logarithm of both sides of the equation can be taken, resulting in the following equation:

\($\ln k = \ln A - \frac{E_a}{RT}$\)

This equation can be rearranged into the form of a linear equation,

\($y = mx + b$\),

by defining:

\($y = \ln k$\)

\($m = -\frac{E_a}{R}$\)

\($x = \frac{1}{T}$\)

\($b = \ln A$\)

Therefore, we have:

\($y = mx + b$\)

which can be plotted as a straight line. By analyzing the slope and intercept of this line, we can determine the values of the activation energy and pre-exponential factor, which are important parameters in understanding the kinetics of a chemical reaction.

In summary, the Arrhenius equation can be rearranged to give a linear relationship by taking the natural logarithm of both sides of the equation. This linear form is often useful for analyzing experimental data and determining the activation energy and pre-exponential factor of a reaction, which are important parameters in understanding the kinetics of chemical reactions.

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The options that represent an amount and price of gas that Pedro purchased are 19 gallons of gas for $52.25, 16 gallons of gas for $44. So options C and D are correct.

To calculate the amount of gas and the total price that Pedro purchased, we need to use the formula:

Price = Cost per gallon * Number of gallons

Dividing the total price by the cost per gallon will give us the number of gallons purchased. We can then compare this with the given options to see which one(s) match.

Using the given cost per gallon of $2.75, we can check each option:

a) 13.75 gallons of gas for $41.25

Price = $2.75/gallon * 13.75 gallons = $37.81

This option does not match the total price of $41.25, so it is not correct.

b) 22 gallons of gas for $71.5

Price = $2.75/gallon * 22 gallons = $60.50

This option does not match the total price of $71.5, so it is not correct.

c) 19 gallons of gas for $52.25

Price = $2.75/gallon * 19 gallons = $52.25

This option matches the total price of $52.25, so it is correct.

d) 16 gallons of gas for $44

Price = $2.75/gallon * 16 gallons = $44

This option matches the total price of $44, so it is correct.

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Complete question is:

Pedro fills up his truck with gas he paid $2.75 a gallon which of these represents an amount and price of gas that Pedro purchased select all that apply.

a) 13.75 gallons of gas for $41.25

b) 22 gallons of gas for $71.5

c) 19 gallons of gas for $52.25

d) 16 gallons of gas for $44

Answer:

The interest is 1600

Step-by-step explanation:

Given f(x) = 4x and f(g(x)) = -1/2x + 1, we can determine the function g(x) by substituting f(x) into f(g(x)) and comparing the resulting expression with the given options. The correct answer is g(x) = 1/4(-x + 2) (option C).

To find g(x), we substitute f(x) = 4x into f(g(x)):

f(g(x)) = 4g(x) = -1/2x + 1.

Dividing both sides by 4:

g(x) = -1/8x + 1/4.

Comparing this expression with the provided options, we find that g(x) matches g(x) = 1/4(-x + 2) (option C). Therefore, option C is the correct answer for g(x). Thus, g(x) = 1/4(-x + 2).

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Answer:

Slope (m) =0

Slope (m) =  

ΔY

ΔX

= 0

θ =  

arctan( ΔY )

ΔX

= 0°

ΔX = 3 – 13 = -10

ΔY = -2 – -2 = 0

Distance (d) = √ΔX2 + ΔY2 = √100 = 10

The calculated number of goals scored by Isla is 30. From the set of options, the correct answer is Option d.

To find the number of goals scored by Isla in the sixth round, we need to rely on the concept involving the basic application of finding the average.

therefore,

we need to proceed by using the formula for finding the average to find the sum of goals scored in total.

Average = sum of goals / total number of rounds played

we need to restructure the given formula to find the sum of the goals

The sum of goals = average x total number of rounds played

then, staging the values in the given formula

Sum of goals = 25 x 6

Sum of goals = 150

now we need to find the number of goals scored in round 6 by Isla

Total number of goals - Total number of goals in 5 rounds

= 150 - 120

= 30

The calculated number of goals scored by Isla is 30. From the set of options, the correct answer is Option d.

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The complete question is

After 6 netball games Isla has scored an average of 25 goals. In the first five games she scored 19, 25, 27, 28 and 21 goals. How many goals did Isla score in the sixth game?

(a)20

(b)24

(c)25

(d)30

Answer: 41$

Step-by-step explanation:

This is because 5x6=30 (To find how much money is made)

then 11+30=41 (add both amounts)

A drug administered 50 mg every three hours and the drug decays 12% per hour, the limiting value is approximately 416.67 mg.

To find the limiting value, we need to determine the amount of the drug remaining after each administration and observe how it approaches a stable value over time.

First, let's calculate the decay factor per hour. The drug decays by 12% per hour, which means it retains 88% of its previous value after each hour.

Decay factor = 1 - 0.12 = 0.88

Now, let's calculate the amount of drug remaining after each administration:

After 1st administration: 50 mg

After 2nd administration: 50 mg * 0.88 = 44 mg

After 3rd administration: 44 mg * 0.88 = 38.72 mg

After 4th administration: 38.72 mg * 0.88 = 34.04 mg

After 5th administration: 34.04 mg * 0.88 = 29.92 mg

As we can see, the amount of drug remaining decreases with each administration, approaching a limiting value. To find this limiting value, we can continue the pattern or use a formula.

The formula for the limiting value of a drug administered every three hours is:

Limiting value = dosage / (1 - decay factor)

In this case, the dosage is 50 mg, and the decay factor is 0.88.

Limiting value = 50 mg / (1 - 0.88) = 50 mg / 0.12 ≈ 416.67 mg (rounded to two decimal places)

Therefore, the limiting value is approximately 416.67 mg.

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So, The correct match of these quadratic equations are
Equation A has a solution x = 3 and x = 0.

Equation B has a solution x = 2 and x = 4.

Equation C has a solution x = -3 and x = 0.

Equation D has a solution x = 4 and x = 0.

According to the equation

we have given that the some equation with there values of the x and we have to find and match the correct statement with the given values of x.

So, For this purpose, we know that the

The given quadratic equations are:

A. 24x – 6x^2 = 0 and 2x(3x) = 0 with solution x = 0, x = -3

B. 14x – 7x^2 = 0 and 6x(4 – x) = 0 with solution x = 0, x = 4

C. 2x^2+ 6x = 0 and x(4 – x) = 0 with solution x = 0, x = 4

D. 4x – x^2 = 0 and 7x(2 – x) = 0 with solution x = 0, x = 2

And now we solve it

So,

Take A.

24x – 6x^2 = 0 and 2x(3x) = 0

6x(3 -x) = 0 And 6x^2 = 0

here x = 3 and x = 0.

And

Take B.

14x – 7x^2 = 0 and 6x(4 – x) = 0

7x(2 -x) = 0 And 6x(4 – x)= 0

here x = 2 and x = 4.

And

Take C.

2x^2+ 6x = 0 and x(4 – x) = 0

2x(x +3) = 0 And x(4 – x)= 0

here x = -3 and x = 0.

And

Take D.

4x – x^2 = 0 and 7x(2 – x) = 0

x(4 -x) = 0 And 7x(2 – x)= 0

here x = 4 and x = 0.

So, The correct match of these quadratic equations are
Equation A has a solution x = 3 and x = 0.

Equation B has a solution x = 2 and x = 4.

Equation C has a solution x = -3 and x = 0.

Equation D has a solution x = 4 and x = 0.

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Answer:

I agree sir

Step-by-step explanation:

Answer:

\(3600\)

Step-by-step explanation:

One is asked to find the cost of a vacation when given the following information;

Travel: 150

Hotel: 50 per day

Spending money: 250

One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.

- Each cost is per person, therefore one will have to multiply the cost by the number of people.

- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.

- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people

- The spending money is for the entire vacation and not per day.

With these assumptions, one can form the following equaton;

x = number of people = 4

y = number of days = 7

\(travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)\)

Substitute,

\(total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)\)

\(total\ cost= 2(4(150))+(7(4(50))+(4(250))\)

Simplify,

\(total\ cost= 2(4(150))+(7(4(50))+(4(250))\)

\(total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600\)

The length and width of a rectangle are 36cm and 4.5cm

Finding the Width:

The formula to find the perimeter of the rectangle is:

P=2(l+w),

where P is the perimeter, l be the length, and w be the width.

Now substitute the given values to solve for w, since we need to find the width.

The given information is:

the length of a rectangle is six inches more than eight times the width so the equation becomes:

L=8w+6

P=120

w=8w

now plug the values in the above formula:

P=2(l+w),

120=2(8w+6)+8w

120=16w+12+8w

120=24w+12

24w=108

w=4.5

To find the length just substitute in the L.

L=8(4.5)+6

L=30+6

L=36

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Answer:

The speed of light in a vacuum is 186,282 miles per second

Step-by-step explanation:

The speed of light in a vacuum, commonly denoted c, is a universal physical constant that is important in many areas of physics.Its exact value is defined as 299 792 458 metres per second (approximately 300 000 km/s or 186 000 mi/s). It is exact because, by international agreement, a meter is defined as the length of the path traveled by light …

kilometers per hour: 1080000000

meters per second: 299792458

miles per hour: 671000000

Answer:

Robin’s median score is 107. Evelyn’s median score is 138. The medians are the same as the means, so the same conclusion would be reached that Robin is winning

Step-by-step explanation:

Answer:

Robin’s median score is 107. Evelyn’s median score is 138. The medians are the same as the means, so the same conclusion would be reached that Robin is winning.

The probability that no more than 5 cars will arrive in the next hour is approximately 0.744.

Let X be the number of cars that arrive at the drive-up window of the bank in an hour, and let λ be the average number of cars that arrive in an hour, which is 6.

       P(X ≤ 5) = ∑_{k=0}^{5} (e^(-λ) * λ^k) / k!

       where e is the mathematical constant approximately equal to 2.71828.

       P(X ≤ 5) = ∑_{k=0}^{5} (e^(-6) * 6^k) / k!

       P(X ≤ 5) = 0.744

Therefore, the probability that no more than 5 cars will arrive in the next hour is approximately 0.744.

The formula and method I used to solve this problem are specific to situations where we have a Poisson distribution, where the number of events occurring in a fixed interval of time, space or other units are independent, and the average rate of occurrence is known.

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Answer: A I think

Step-by-step explanation:1/3 ÷ 2/5=1/3×5/2

The lower limit of the 90% confidence interval is 0.429 when in a survey of 200 randomly chosen American adults, 104 responded in favor of the proposed proposal.

Given that

In a survey of 200 randomly chosen American adults, 104 responded in favor of the proposed proposal. Calculate a 90% confidence interval for the percentage of all U.S. adults who support the proposal based on the results of this poll (at the time of the poll). Complete the table below after that. Carry your calculations to a minimum of three decimal places.

We have to find the lower limit of 90%.

We know that

In a poll of 200 randomly selected U.S. Among adults, 104 expressed support for the novel idea.

p-hat = 104/200 = 0.52

ME = z×√[pq/n] = 2.5758×√[0.52*0.48/200] = 0.091

Now, the lower limit of the 90% confidence interval well be

p-hat-ME = 0.52-0.091 = 0.429

Therefore, The lower limit of the 90% confidence interval is 0.429 when in a survey of 200 randomly chosen American adults, 104 responded in favor of the proposed proposal.

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The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.

It is TRUE statement.

Now, According to the question:

Let's know:

What is meant by 95% confidence interval?

Strictly speaking a 95% confidence interval means that if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

                                                      OR

A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.

Hence, The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.

It is TRUE statement.

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The series' value is maximized if the sum only consists of positive terms. Notice that each term in the sum takes the form 4n + 1 for integer n. This means the smallest positive integer that the sum can involve is 1, so the maximum value is

S = 29 + 25 + 21 + … + 9 + 5 + 1

Reversing the order of terms gives the same sum,

S = 1 + 5 + 9 + … + 21 + 25 + 29

Adding terms in the same positions gives us twice this sum,

2S = (29 + 1) + (25 + 5) + (21 + 9) + … + (1 + 29)

Notice how each grouped sum adds to 30. There are 8 terms in the sum, since 4n + 1 = 29 when n = 8. So

2S = 8 × 30 = 240   ===>   S = 120

Good evening,

Answer: 8

Step-by-step explanation:

? = 13-5

? = 8

Using the z-distribution, as we are working with a proportion, it is found that the test statistic for their significance test is given by: z = 2.

As stated in the problem, they are:

\(H_0: p = 0.9\)

\(H_1 = p > 0.9\)

It is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

In this problem, we have that;

\(n = 100, \overline{p} = \frac{96}{100} = 0.96, p = 0.9\)

Hence:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.96 - 0.9}{\sqrt{\frac{0.9(0.1)}{100}}}\)

\(z = 2\)

The test statistic for their significance test is given by: z = 2.

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Answer:

it is in this order

Step-by-step explanation:

D E A B C your welcome! and good luck