please Solve

3(2x - 5) = 27

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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Answer: hmmm i think u should multiply

Step-by-step explanation:

Answer:

gfbngfjhbfgnbfhbnng

Step-by-step explanation:

A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

A central angle is an angle created in the center of a circle with 2 sides being the radius.

Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.

Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.

The correct answer is the central angle as it goes with the definition.

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The number of passcodes that can be formed from the letters {a, b, c, d} if each letter can only be used once is  24 according to permutations.

ni this problem we are not allowed to repeat the letters, so:  we will be referring to the permutations,  where Permutations are basically for the problems where the order or we can the arrangement matters

the formula for permutation is ⁿPr=n!/(n-r)! where n is the number of given letters and r is the number of letters to be used.here n and r are 4, substituting the values on the above  formula,  we get

⁴P₄=4!/(4-4)! = 4! = 4*3*2*1=  24

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The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447

There is not sufficient evidence to reject the company's claim.

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m =120

Level of Significance 0.05

Population Standard Deviation 12

Sample Size 49

Sample Mean 122.5

Intermediate Calculations

Standard Error of the Mean 1.7143

Z Test Statistic 1.4583

Two-Tail Test  

Lower Critical Value -1.9600

Upper Critical Value 1.9600

p-Value 0.1447

Do not reject the null hypothesis

Hence, the p value foe that particular interval is 0.1447

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Answer: Hewo, there! your answer is Below.

B.

linear Would be my answer because it's arranged in or extending along a straight or nearly straight line.

Step-by-step explanation:

Hope this helps!!

have a great day!!!]

-August-

Answer:

Step-by-step explanation:

To find the boundary of the critical region, given the type I error probability and sample size, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean.

The critical region is defined by the range of sample means that reject the null hypothesis, based on the given level of significance and the alternative hypothesis.

The critical region is the range of values of the test statistic that leads to rejection of the null hypothesis, based on a predetermined level of significance and the alternative hypothesis. To find the boundary of the critical region, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean. For a one-tailed test with alpha = 0.01 and n = 10, the critical value is 2.33, and the critical region is defined by the sample mean greater than 181.18. For a one-tailed test with alpha = 0.05 and n = 10, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.21. For a one-tailed test with alpha = 0.01 and n = 16, the critical value is 2.33, and the critical region is defined by the sample mean greater than 178.82. For a one-tailed test with alpha = 0.05 and n = 16, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.27. Therefore, the larger the sample size and the smaller the level of significance, the narrower the critical region and the higher the power of t

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Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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The integral ∫4 1 /√(3x-3) is improper because the integrand has a vertical asymptote at x = 1, resulting in an undefined value at that point. To determine if the integral converges or diverges, we need to evaluate its behavior as x approaches the endpoint of the interval.

The given integral is improper because the denominator, √(3x-3), becomes zero at x = 1, which leads to division by zero. This indicates a vertical asymptote at x = 1, and the function is undefined at that point.

To analyze the convergence or divergence of the integral, we examine the behavior of the integrand as x approaches the endpoint of the interval, in this case, x = 1. Since the integrand approaches infinity as x approaches 1 from the left, and as x approaches negative infinity as x approaches 1 from the right, the integral diverges.

Therefore, the integral ∫4 1 /√(3x-3) diverges.

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\(\displaystyle \lim_{x\to \infty} 1+\cfrac{ln(x)}{x}\implies \lim_{x\to \infty} \cfrac{x+ln(x)}{x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{using L'Hopital once} }{\cfrac{\frac{d}{dx}[x+ln(x)]}{\frac{d}{dx}(x)}}\implies \cfrac{ ~~ 1+ \frac{ 1 }{ x } ~~ }{1}\implies 1+\cfrac{1}{x}\implies \cfrac{x+1}{x}\)

\(\stackrel{ \textit{using L'Hopital twice} }{\cfrac{\frac{d}{dx}[x+1]}{\frac{d}{dx}(x)}}\implies \cfrac{1}{1}\implies 1 \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \lim_{x\to \infty} \cfrac{x+ln(x)}{x}\implies \lim_{x\to \infty} 1\implies \text{\LARGE 1}\)

Answer

70.000 в  10 раз больше 7.000

Step-by-step explanation:

12.

13.

38% of all the students watched the game.

Let's anticipate that there are 100 college students inside the school.

Given:

Now, we will calculate the number of boys and girls in the college:

25% of the girls watched the school production:

So, the whole number of college students who watched the school production = 12 + 26 = 38

Consequently, the percentage of all of the college students who watched the game = (38/100) * 100 = 38%.

Therefore, 38% of all the students watched the game.

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Answer:

8.025

Step-by-step explanation:

If you count the zeros in 1000, it's three. Count three starting from the back of 25. Add 0 in front of 25 to make it a three digit number. You then put the decimal point with the whole number.

Answer:

B. 8.025

Step-by-step explanation:

Hope it helped!

The equation of the perpendicular line will be y = -(2/3)x + c and y = -(4/6)x + c. Then the correct options are A and E.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation is given below.

y + 2 = (3/2)(x + 4)

The equation of the perpendicular line is given as,

y = -(2/3)x + c

y = -(4/6)x + c

The equation of the perpendicular line will be y = -(2/3)x + c and y = -(4/6)x + c. Then the correct options are A and E.

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The complete question is given below.

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Hence, the distance between Hawkes Meadow and Brunswick Street is roughly 11.1 kilometres (km).

Distance is a unit used to express the distances between two objects or positions. This is a scalar value that is typically stated in length units like feet, metres, kilometres, or miles. Distance between two things is a physical concept that specifies their separation; it is frequently used to estimate how much space there is between them. The shortest distance, also referred to as "as the crow flies," can be calculated either along a horizontal path or a curved path. Displacement, or the shift in an object's position from its original location to its end position, is a notion in physics that is closely connected to distance.

given

Using the data from the timetable and the calculation, we can determine how many kilometres the bus travels between Hawkes Meadow and Brunswick Street:

Distance is determined by multiplying time and speed.

According to the timetable, the bus travels from Hawkes Meadow to Othello Avenue in 15 minutes (from 14:25 to 14:32), and from Othello Avenue to Brunswick Street in 8 more minutes (i.e., from 14:32 to 14:40). Hence, it takes 15 + 8 = 23 minutes to get from Hawkes Meadow to Brunswick Street.

Also, we are informed that the bus travels at an average speed of 29 km/h between Hawkes Meadow and Brunswick Street.

To utilise the calculation, we must first divide the time in minutes by 60 to convert it to hours:

23, divided by 60 hours, or 0.3833 hours (rounded to 4 decimal places)

Hence, we can compute the distance using the following formula:

11.12 kilometres is equal to 29 km/h times 0.3833 hours (rounded to 2 decimal places)

Hence, the distance between Hawkes Meadow and Brunswick Street is roughly 11.1 kilometres (km).

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The number of game that ended in a tie are= 67

The number of points that makes up a win = 3

The number of points that makes up a tie = 1

The number of points that makes a loss = 0

Team A = 22 points

Team B = 19 points

Team C = 14 points

Team D = 12 points

The total of points gotten by the whole team is = the games that ended in a tie.

That is , 22+19+14+12 = 67

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The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.

False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.

For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.

In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.

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Answer:

14

Step-by-step explanation:

Ok, 60! is a really big number

\(x!=x(x-1)(x-2)...1\)

So we have 60*59*58...*1

2 times 5 is 10 which makes a terminal zero (ending zero)

We need to count how many fives and twos are in 60!

There are 60/5=12 5^1's

There are 60/25=2 5^2's

So 12+2=14

There are way more 2's than fives so we take the lesser number

So the answer is 14

*Note that 60/25 is not 2, we need an integer rounded down

Answer:

1/6

Step-by-step explanation:

There are 6 sides to a die, and 6 occupies one side, so the probability of rolling a 6 is 1/6.

Answer:

1/6 or 16.7%

Step-by-step explanation:

When you roll a standard die, the probability of getting 6 is 1/6 or 16.7%

Answer:

166

Step-by-step explanation:

Just Add 83+83=166

Answer:80100

Step-by-step explanation:

Since "per cent" means parts per hundred, if we can convert the fraction to have 100 as the denominator, we then know that the top number, the numerator, is the percentage. Our percent fraction is 80/100, which means that 80100 as a percentage is 80%.

Answer:

I'm pretty sure your answer would be B

Step-by-step explanation:

The teacher wants answers from all the students but it would take to long to ask every single person so it would only make sense to ask every boy in each grade

Answer:

\(-5\sqrt{7}\)

Step-by-step explanation:

2√28 - 3√63

4√7 - 9√7

- 5√7

Answer:

- 5√7

Step-by-step explanation:

Answer:

can you explane a bit better

Step-by-step explanation:

Answer: 21 cups of sugar, 7 cakes

Solve the following proportion:

3/5=x/35

Cross multiply:

5x=35(3)

5x=105

x=21 cups of sugar

3 cups of sugar= 1 cake

21 cups of sugar= x cakes

Cross multiply:

3x=21

21/3

7 cakes

Answer:

-9c-20

Step-by-step explanation:

Simplify the equation by adding/subtracting the like terms (c and numbers)

The expression 9c - 12- 15c - 8 - 3c is equivalent to -9c - 20.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

9c - 12- 15c - 8 - 3c.

Solve the expression for terms c,

9c - 12 - 18c - 8

-9c - 12 -8

Further, solve for constant terms,

-9c - 20

The simplified form of the expression is -9c - 20.

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Answer:

Options (B), (D) and (E)

Step-by-step explanation:

In the figure attached, a triangle has been given with interior angles x, y and z and exterior angle as w.

By the exterior angle theorem,

"Exterior angle formed by extending one side of a triangle is equal to the opposite two interior angles."

Therefore, x° + y° = w°

Since measure of angle w is equal to the sum of two angles x and y,

So, w° > x°

Similarly, w° > y°

Therefore, Options (B), (D) and (E) are the correct options.

The total quantity produced when p = 5 is 26 in the long run.

In the short run, each firm will produce where its marginal cost equals the market price, which we'll denote as p.

So, for Type A firms, the short-run supply curve is:

q4(p) = (p-2)/2

And for Type B firms, the short-run supply curve is:

qB(p) = (p-2)/6

The short-run market supply is simply the sum of the quantities supplied by each type of firm at a given price level. So, if there are 10 Type A firms and 6 Type B firms, the short-run market supply at a price level of p is:

Qs(p) = 10q4(p) + 6qB(p)

= 10(p-2)/2 + 6(p-2)/6

= 8p - 20

The total quantity produced when p=5, we can substitute p=5 into the market supply equation we just derived:

Qs(5) = 8(5) - 20

= 20

So, the total quantity produced when p=5 is 20.

The long run, firms can enter or exit the market, and as a result, the number of firms in each market may change.

In this case, we'll assume that the number of Type A and Type B firms can adjust freely in the long run, and that each firm earns zero economic profit in the long run.

If there are zero economic profits, each firm's total revenue (TR) must equal its total cost (TC), which means that price must equal average total cost (ATC).

For Type A firms, ATC4(q) = TC4(q)/q = 1/q + 2 + q, so:

5 = 1/q + 2 + q

Rearranging and solving for q, we get:

q4 = 2

So each Type A firm will produce 2 units of output in the long run.

For Type B firms, ATCB(q) = TCB(q)/q = 6/q + 2 + 3q, so:

5 = 6/q + 2 + 3q

Rearranging and solving for q, we get:

qB = 1

So each Type B firm will produce 1 unit of output in the long run.

If there are 10 Type A firms and 6 Type B firms, the total quantity produced in the long run when p=5 is:

Qlr = 10q4 + 6qB

= 10(2) + 6(1)

= 26

So, the total quantity produced when p = 5 is 26 in the long run.

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