hhow many integers between, but not includingm 20 and 30 have a prim efactorizatioin with exactlu 3 factors that are not necessarily unique

Answer:

12÷2=6

100÷1=100

Step-by-step explanation:

Answer: 6 and 1

Answer:

6

100

Step-by-step explanation:

in division:

12÷2=6

100÷1=100

\( \sf2x + 3y = - 6 \\ \sf2x + 3 \times 0 = - 6 \\ \sf2x = - 6 \\ \boxed{ \tt x = - 3}\)

The triangle third side may be 6 or 9 metres long, or it may be between 9 and 15 metres long.

Depending on the lengths of the other two sides, the triangle's third side can have a variety of lengths. The third side's length could range from 9 to 15 metres if the first two sides are 6 and 9 metres, respectively. The reason for this is that the length of any two sides of a triangle must always be greater than the length of the third side; in this instance, the sum of the two sides is 15 metres, or 6 and 9 metres. As a result, the triangle's third side must be either less than or equal to 15 metres. A triangle can also have two equal sides, so the third side could also be equal to 6 or 9 metres. In conclusion, the third side of the triangle may be anywhere between 9 and 15 metres long, or it could be 6 or 9 metres long.

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The effectiveness of conducting survey during the evening dinner hour depends on factors such as the target population

There are several reasons why conducting surveys during the evening dinner hour can be both effective and ineffective. Let's discuss two reasons for each:

Reasons why this approach may be effective:

Availability of respondents: Many people tend to be at home during the evening dinner hour. This makes it more likely that potential respondents will be available to take the survey. They are more likely to have finished work for the day and be in a relaxed environment, making them more willing to engage in a conversation and provide thoughtful responses.

Capturing diverse demographics: Conducting surveys during the evening dinner hour allows for a better representation of different demographic groups. For example, families with children are more likely to be home during this time, enabling the survey to capture the perspectives and opinions of a wider range of respondents. This approach helps ensure that the survey results are more comprehensive and representative of the target population.

Reasons why this approach may not be effective:

Disruption during dinner: Calling potential respondents during the evening dinner hour may be seen as an intrusion and disrupt their family time or personal activities. They may feel rushed, distracted, or unwilling to engage in a survey during this time. It could lead to biased responses or individuals rushing through the survey without giving thoughtful answers.

Limited response rate: While many people may be home during the evening dinner hour, they may not be willing to take part in a survey. They might prioritize personal or family time and be unwilling to spend time on a telephone survey. This can result in a low response rate and potentially biased results if those who do participate have different characteristics or opinions compared to those who opt out.

Overall, the effectiveness of conducting surveys during the evening dinner hour depends on factors such as the target population, cultural norms, and the willingness of individuals to participate. It is crucial to consider these factors and adapt survey methodologies to maximize response rates and ensure the validity and representativeness of the collected data.

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Answer:

An adult ticket costs £7.

A child ticket costs £2.

Step-by-step explanation:

Let a represent the cost for adults and let c represent the cost for children.

Family 1 has a total of 2 adults and 3 children. Together, it cost them £20.

In an equation, this is:

\(2a+3c=20\)

Family 2 has a total of 1 adult and 4 children. It cost them £15. In an equation, this is:

\(a+4c=15\)

We know have a system of equations. Solve it. We can use the substitution method.

First, subtract both sides by 4c in the second equation:

\(a+4c=15\\a=15-4c\)

Substitute this into the first equation:

\(2a+3c=20\\2(15-4c)+3c=20\)

Distribute:

\(30-8c+3c=20\)

Add:

\(30-5c=20\)

Subtract 30 from both sides. The left cancels:

\(-5c=-10\)

Divide both sides by -5:

\((-5c)/-5=(-10)/-5\\c=2\)

Thus, the cost of a child ticket is £2.

Substitute 2 for c into the equation we manipulated at the start:

\(a=15-4c\\a=15-4(2)\\a=15-8=7\)

Thus, the cost of an adult ticket is £7.

Answer:

Adult ticket= $7

Child Ticker=$2

Step-by-step explanation:

Family 1: 2x+3y=20

Family 2: x+4y=15

2x+3y=20

x+4y=15

Multiply by 2

2x+3y=20

-(2x+8y=30)

Change the signs

2x+3y=20

-2x-8y=-30

Eliminate x

-5y=-10

Divide both sides by -5

y=2<---- Price per children

Substitute the value of y

x+4(2)=15

x+8=15

x=15-8

x=7 <----Price per adult

Check:

Substitute the values of x and y to family 1

2(7)+3(2)=20

14+6=20

20=20

7+4(2)=15

7+8=15

15=15

Answer:

x = 18

Step-by-step explanation:

total money = money spent + money left

x = 7+11

x = 18

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

1/2x base x height

1/2x18x4.5

=40.5cm³

Therefore, the volume for the triangular prism is 40.5 cubic inches.

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270 people enter the line for the escalator during" the time interval 0 < / < 300 and  80 people are at Mn Line at time 300. 414.285714 sec. is the first time that there are no people in line for the escalator and 33. 0133 time is the number of people in line minimum.

X(t) = 44 ( t/100)³ * (1-t/300)⁷

for 0≤t≤300

for t≥ 300

a) Total number of people = ∫³⁰⁰₀ r(t)*dt

∫³⁰⁰₀ 44(t/100)³ * (1-t/300)⁷ * dt

∫³⁰⁰₀ (11 (1-t/300)⁷ / 250000 * t³) * dt

∫³⁰⁰₀ -11 / 250000 * (t-300)⁷ * t³ * (1/300)⁷ dt

= -11 (1/300)⁷ / 250000 ∫³⁰⁰₀ (t-300)⁷ * t³ * dt

Now Integrate with respect to 't'

using substitution

Let  u = t-300

du = dt

∫ u⁷ * (u + 300)³ * du

∫ (u¹⁰ + 900 u⁹ +270000 u⁸ + 27000000 u⁷) * du

= u¹¹/11 + 90 u¹⁰ + 30000 u⁹ + 3375000 u⁸

Undo the substitution

u= (t-300)

= [ (t-300)¹¹ / 11 + 90 (t-300)¹⁰ + 30000(t-300)⁹ + 337500(t-300)⁸]³⁰⁰₀

Substitutes the limits

= [0- ((-300)¹¹/ 11 + 90 * (-300)¹⁰ + 30000 * (-300)⁹ + 3375000 * (-300)⁸]

= 270 people

b) Constant rate of 0.7 people per second

This is the rate of exit

at t = 0.20 people in line

People in a line at t = 300 is = 20+ ∫³⁰⁰₀ ((r(t) - 0.7 ) * dt

= 20 + ∫³⁰⁰₀ 44(t/100)³ * (1-t/300)⁷- 0.7 dt

= 20 + 270 - 0.7 * 300

= 80 people

c) t = 300 sec

people = 80

when t>300 , r(t) = 0

rate of exit remains the same

= 80 + ∫ ( 0-0.7) * dx

= 80 + [-0.7x] = 0

= 80 - [0.7x] = 0

= 80 - 0.7 t + 0.7 * 300 = 0

= 80 - 0.7t + 210 = 0

= - 0.7 t = -290

t = 414.285714 sec.

d) f(t) = 20 + ∫⁶₀ (r(x) - 0.7) * dx

f(t) = r(t) - 0.7

f(t) = 0       (for critical point)

r(x) = 44 (t/100)³ * (1-t/300)⁷

r(t) = 0

we get t= 33.0133 sec.

t = 166.575 sec.

Now check for the value

when t=0

f(t) 20

when t= 33.0133

f(t) = 3.803 ≈ 4

when t = 166.575

f(t) = 158.07 ≈ 158

when t= 300

f(t) = 80

so the minimum number of people is 4 at the time t= 33. 0133

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Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

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The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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Answer:

\(p=48 ~units\)

Step-by-step explanation:

\(x^2=12^2+9^2\)

\(x^2=144+81\)

\(x^2=2225\)

\(x=15\)

\(p=15+15+18\)

\(p=48 ~units\)

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

hope it helps...

have a great day!!

Answer:

p=48 units

Step-by-step explanation:

hope it helps..

Answer:

161/500

Step-by-step explanation:

The amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

Let x represent the amount of water

Hence,

15% = .18(30)/(30+x)× 100          

Solve for x

.15 = 5.4/(30+x)

.15(30+x) = 5.4

30 + x = 5.4/.15= 36

x = 36 - 30

x = 6 ml

Therefore the amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

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Answer:

I = $31,250

Step-by-step explanation:

Your average waiting time will be approximately 1 minute.

As the first passenger, you will not have to wait for any other passengers to get in the taxi. However, the taxi will wait for 2 passengers to arrive or 3 minutes to pass since your boarding.

Since passengers arrive according to a Poisson process with an average of 60 passengers per hour, the arrival rate lambda can be calculated as:

lambda = average number of passengers per time unit = 60/60 = 1 passenger per minute

The time between two consecutive passenger arrivals follows an exponential distribution with parameter lambda. Thus, the probability of waiting less than t minutes for the second passenger to arrive can be calculated as:

P(wait < t) = 1 - e^(-lambda*t)

We need to find the average waiting time until the second passenger arrives. This can be calculated as the area under the probability distribution curve divided by the arrival rate lambda:

average waiting time = integral from 0 to infinity of t*(1 - e^(-lambda*t)) dt / lambda

Using integration by parts, we can solve this integral to get:

average waiting time = 1/lambda + (1 - e^(-lambda*t))/(lambda^2)

Plugging in the values, we get:

average waiting time = 1/1 + (1 - e^(-1*3))/(1^2) = 1 + (1 - 0.0498) = 1.9502 minutes

Therefore, as the first passenger, your average waiting time until the second passenger arrives is 1.9502 minutes.

To answer your question, let's consider the two possible scenarios:

1. Two passengers are collected: In this case, the first passenger (you) waits for the second passenger to arrive. Since the arrival rate is 60 passengers per hour, the average time between arrivals is 1 minute (60 minutes / 60 passengers).

2. Three minutes have expired: In this case, the taxi departs after 3 minutes even if only one passenger (you) is in the taxi.

On average, the waiting time for the first passenger (you) will be the minimum of these two scenarios. Thus, your average waiting time will be approximately 1 minute.

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Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

Answer:

2(2x+3)(6x-5)

Step-by-step explanation:

2(12x²+8x²-15)

2(12x²+18x-10x-15)

2(6x(2x+3)-5(2x+3))

2(2x+3)(6x-5)

Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

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Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

Based on the information provided, to prepare a total of 220 pancakes Kai needs 30 cups of pancake mix.

To prepare 22 pancakes Kai needs a total of 3 cups of pancake mix, which means the ratio is 22 to 3 or 22:3.

To find the total of pancake mix Kai need for this new number of pancakes different methods can be applied:

First method: Rule of three

3 cups of pancake mix = 22 pancakes

            x                        = 220 pancakes

x (number of cups) = 220 pancakes / 22 panckes x 3

x = 10 x 3

x= 30

This means Kai needs 30 cups

Second method: Find the number of cups for 1 pancake

3 cups  / 22 pancakes=  0.13636

220 x 0.13 = 29.9 which can be rounded as 30 cups

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The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.

This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.

However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.

Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

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Answer:

Poorly formated. Please fix the question so it is more understandable!

The system of equations can be used to find the roots of the considered  equation is y = 4+x^2 and y= x^3 + 2 + x

We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.

For the given case, we are given with the equation \(4+x^2 = x^3 + 2 + x\)

We can take two equations as:

\(y = 4+x^2 \\y= x^3 + 2 + x\)

And when we will try to solve this system of equation, we will end up substituting the value of y in terms of x, and therefore, ending up on the same equation \(4+x^2 = x^3 + 2 + x\)

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Answer:

D

y=4x^2

y=x^3+2x

Step-by-step explanation:

im trying to pass just like yall, Good luck to all

Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.

To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:

y = 50 / (1 + 6e^(-2t))

To find the derivative, we can use the quotient rule:

y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2

Simplifying this expression, we get:

y' = (72e^(-2t))/(1 + 6e^(-2t))^2

To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:

(72e^(-2t))/(1 + 6e^(-2t))^2 = 0

Since the numerator cannot be zero, we focus on the denominator:

(1 + 6e^(-2t))^2 = 0

Taking the square root of both sides, we get:

1 + 6e^(-2t) = 0

Solving for e^(-2t), we have:

e^(-2t) = -1/6

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Answer:

Answer= 17,121

Step-by-step explanation:

439

x39

3951

1317 then you add

Answer:

86 its the same thing on both sides if im wrong then 90?

Step-by-step explanation:

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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cos(pi) and cos(-pi) are both equal to -1 because cos is an even function.

For an even function, f(x) = f(-x). Even functions are symmetric about the y-axis.

Symmetricity about y-axis means that for same magnitude of x (like -2 and 2 have the same magnitude that is 2) the value of y will be the same.

Hence, in the case of cos(x), if we give any value as x and then give -x we will get the same result like cos(0.5pi) = cos(-0.5pi)

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