Bus A and Bus B leave the bus depot at 8 am.
Bus A takes 25 minutes to complete its route once and bus B takes 35 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

Answer:

C. 6

Step-by-step explanation:

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

(2+4) x 9

Step-by-step explanation:

Using the given recipe, he will need 6 cups of milk to make 18 servings.

We know that the recipe for 6 servings, calls for 2 cups of milk.

Miguel wants to do 18 servings, Then he needs to use the recipe:

18 = x*6

Solving the linear equation for x:

x = 18/6 = 3

So he needs to use his recipe 3 times.

And we know that for 6 servings he needs 2 cups of milk, then for 18 he needs:

3*(2 cups) = 6 cups of milk.

Using the given recipe, he will need 6 cups of milk to make 18 servings.

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Hi! I can help you with joy!

A negative integer + a positive integer:

-3+8=5

Here, we get a positive integer or a counting number.

Now, look here:

-100+60=-40

Here, we get a negative integer.

So the answer is:

Either a positive or a negative integer.

#\(RosalindCordeliaIsHereToHelpYou\)

The probability that a three-page letter contains no mistakes can be calculated using the concept of independent events. Given that the average rate of typing mistakes made by a typist is 2 per page and they are made independently, we can determine the probability of no mistakes on each page and then multiply those probabilities together for all three pages. The probability of no mistakes on a single page is calculated by using the Poisson distribution formula with an average rate of 2 mistakes per page. Finally, rounding the answer to four decimal places gives us the desired result.

To find the probability that a three-page letter contains no mistakes, we need to calculate the probability of no mistakes on each page and then multiply those probabilities together. Since the typing mistakes are made independently, we can treat each page as a separate event.

The average rate of typing mistakes per page is given as 2. This implies that the mistakes follow a Poisson distribution with a mean of λ = 2. The probability mass function (PMF) for a Poisson distribution is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable representing the number of mistakes on a page, k is the number of mistakes (in this case, 0), and e is the base of the natural logarithm.

For a single page, the probability of no mistakes (k = 0) can be calculated using the PMF formula:

P(X = 0) = (e^(-2) * 2^0) / 0! = e^(-2)

To find the probability of no mistakes on all three pages, we multiply the probabilities together:

P(no mistakes on three pages) = P(no mistakes on page 1) * P(no mistakes on page 2) * P(no mistakes on page 3) = e^(-2) * e^(-2) * e^(-2) = e^(-6)

Finally, rounding the result to four decimal places, we get:

P(no mistakes on three pages) ≈ 0.0025

Therefore, the probability that a three-page letter contains no mistakes is approximately 0.0025, rounded to four decimal places.

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There are 243 possible outcomes in the sample space when a softball player bats five times in a game.

In each at-bat, the player can either make an out, get on base, or hit a home run. These are three distinct outcomes for each at-bat.

Therefore, the total number of possible outcomes for the five at-bats is found by multiplying the number of possible outcomes for each at-bat together.

Using the multiplication principle of counting, we can find the total number of possible outcomes in the sample space by multiplying the number of outcomes for each at-bat:

3 × 3 × 3 × 3 × 3 = 3⁵ = 243

Therefore, there are 243 possible outcomes in the sample space when a softball player bats five times in a game.

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The complete question is as follows:

A softball player bats 5 times in a game. Each at-bat results in an out, getting on base, or hitting a home run. Find the number of possible outcomes in the sample space.

A) 291

B) 243

C) 212

D) 192

Answer: 6

Step-by-step explanation:

1. 3x - 6 = 12

2. add 6 to both sides

3. 3x = 18

4. x=6

I hope this is right

The correct option is a. bounded. According to the question The given sequence is \(\[ a_n = \frac{3}{2n + 1} \]\) is bounded and converges.

We need to determine whether the sequence converges, is bounded, geometric, arithmetic, or diverges.

a. Bounded: To check if the sequence is bounded, we can analyze the behavior of its terms. As n increases, the denominator \(\(2n + 1\)\) also increases. Consequently, the values of \(\(a_n\)\) will approach zero. Since \(\(a_n\)\) approaches zero but is never equal to zero, the sequence is bounded.

b. Geometric: A geometric sequence has a common ratio between consecutive terms. In this case, the sequence does not have a constant ratio between its terms, so it is not geometric.

c. Arithmetic: An arithmetic sequence has a constant difference between consecutive terms. Here, the sequence does not have a constant difference between its terms, so it is not arithmetic.

d. Diverges: Since we have already established that the sequence is bounded and not geometric or arithmetic, we can conclude that the sequence converges. Therefore, it does not diverge.

In summary, the given sequence is bounded and converges.

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Current standards indicate that a single subject research design should demonstrate a functional relation between independent and dependent variables with a minimum of three effects.

Single subject research designs, also known as single case experimental designs, are experimental designs commonly used in behavioral sciences to study the effects of interventions or treatments on individuals. These designs involve repeated measurement of the dependent variable under different conditions or phases.

To establish a functional relation between the independent and dependent variables, current standards suggest that a minimum of three effects should be demonstrated. These effects typically consist of a baseline phase, an intervention phase, and a return-to-baseline phase. The baseline phase serves as a control condition where the independent variable is absent or has no effect on the dependent variable. The intervention phase introduces the independent variable, and its effects on the dependent variable are observed.

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Answer:

Hey there!

Arithmetic sequences are made up of terms that are added or subtracted, and geometric sequences are made up of terms that are multiplied or divided.

Given this info, we can see that we go from 10 to -5. Because we know that this is geometric, we see that we must divide by -2 in our sequence.

We can see that this is true because -5/-2=5/2.

Now, we could simply continue dividing by negative two to get our answer, which is -5/16.

You could easily do that with a calculator, but if you had to find a term that was farther from the first term, that would take forever to do with a calculator, so there is an equation that you can use and plug in your numbers to find the answer quickly.

, where  is the number of term in the sequence (6 in this problem), a is the first term of the sequence (10), and r is the common ratio (-1/2).

I hope this helps!

Step-by-step explanation:

Answer: 300 sq. ft

Step-by-step explanation:

1/5x - 25 = 35

1/5 x = 35+25

x = 60 * 5 = 300 sq. ft.

Answer:

300

Step-by-step explanation:

I did it on edge

Answer:3

7

−

3

6

–6

Step-by-step explanation:

Step-by-step explanation:

(x + 2)( x – 2)

A. x2 − 8

B. 3x2 − 14x − y

C. x2 − 4

D. x2 − 2

2. Factor Completely: x2 − 36

A. (x + 6)(x – 6)

B. (x + 6)(x + 6)

C. (x – 6)(x − 6)

D. Prime

3. Factor Completely: 4x2 − 81

A. (4x – 9)(x + 9)

B. (2x + 9)(2x + 9)

C. (2x + 9)(2x – 9)

D. (2x – 9)(2x − 9)

4. Factor Completely: x2 + 16

A. (x + 4)(x + 4)

B. (x + 4)(x – 4)

C. Prime

D. (x – 4)(x − 4)

5. Factor Completely: 2x2 − 18

A. Prime

B. 2(x2 − 9)

C. 2(x + 3)(x – 3)

D. 2(x + 3)(x + 3)

6. Factor Completely: 3x2 − 21

Question:

Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip

Answer:

88 - 2.50x

Step-by-step explanation:

Given :

Initial charge = 12

Charge per kilometer = 2.50

Amount given to driver = 100

Let distance from home to airport = x

Total charge = (initial charge + (distance * charge per km)

Total charge = 12 + 2.50x

Change = (Amount given to driver - total charge)

Change = (100 - (12 + 2.50x))

100 - 12 - 2.50x

88 - 2.50x

The next step in the series will be a circle divided into five shapes.

option D.

A series is a sequence of numbers or events that are arranged or added in a particular pattern.

From the given diagrams, the next step in the series is calculated as follows;

the first diagram is a circle divided into two shapes,

the second diagram is a circle divided into three shapes

the third diagram is a circle divided into four shapes

the fourth diagram will be a circle divided into five shapes

So the next step in the series will be a circle divided into five shapes or pentagon.

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Answer:

C i think

Step-by-step explanation:

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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Step-by-step explanation:

C. (4,1)

When x=4 and y=1, the equations become,

4 = 3*1 +1

4=4

2*4+4*1 = 8+4 = 12

Answer:

option C

Step-by-step explanation:

x = 3y + 1      equation(i)

2x + 4y =12    equation(ii)

First working for equation (ii)

substituting the value of x in equation (ii)

2(3y + 1) + 4y = 12

6y + 2 + 4y = 12

10y = 12 - 2

y = 10/10

y =1

now substitute the value of y in equation (i)

x = 3*1 = 1

x=3 + 1

x = 4

therefore , answer is (4,1)

Answer:

Whats a you love

Step-by-step explanation:

no entiendo

Answer:

-4x + 12

Step-by-step explanation:

2(x+6)-6x

2x + 12 - 6x

combine llike terms

2x - 6x = -4x

-4x + 12

Answer:

2(x+6)-6x=-4x+12

Step-by-step explanation:

So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x

I simplified 2x+12-6x and I got -4x+12

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

RS = 17

Step-by-step explanation:

(23-2x) + (9x-5) = 39

23-2x+9x-5 = 39

7x + 18 = 39

7x = 21

x = 3

Given: RS = 23-2x

23 - 2(3)

23 - 6 = 17

Once we have identified these lines, we can add up their corresponding thickness values to find the thickness of the pile.

Therefore, the answer to the question is dependent on the specific thickness values of the four thinnest books on the line plot.

Maria has books of varying thicknesses, and a line plot has been provided to show the thickness of each book.

The question asks how thick the pile of the four thinnest books will be when they are stacked on top of each other.

To determine the thickness of the pile, we will need to find the total thickness of the four thinnest books on the line plot. We can do this by adding up the thicknesses of each of these four books.

Then, we will have the total thickness of the pile.

To make sure we have the correct four books, we will need to start from the left side of the line plot and select the four shortest lines.

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There are 45,697,600 different number of plates that can be issued using this configuration.

To determine the number of different license plates that can be issued using the given configuration, we need to consider the number of options for each component of the license plate.

1. Letters (first two letters): Each letter can be any uppercase letter of the alphabet.

There are 26 letters in the English alphabet, so there are 26 options for each letter.

Since we have two letters, the total number of options for the first two letters is 26 * 26 = 676.

2. Digits (two digits): Each digit can be any number from 0 to 9, so there are 10 options for each digit.

Since we have two digits, the total number of options for the digits is 10 * 10 = 100.

3. Letters (last two letters): Similar to the first two letters, there are 26 options for each letter.

Therefore, the total number of options for the last two letters is also 26 * 26 = 676.

To find the total number of possible license plates, we multiply the number of options for each component:

Total number of license plates = (Number of options for letters) * (Number of options for digits) * (Number of options for letters)

Total number of license plates = 676 * 100 * 676

Total number of license plates = 45,697,600

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A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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Answer:

a. \(g(0)=9\)

b. \(g(\frac{9}{8} )=0\)

c. \(g(s+1)=-8x+1\)

Step-by-step explanation:

The parent function is \(g(y)=9-8y\). You "plug in" the value inside the parentheses into the equation.

a. \(g(0)=9-8(0)\)

\(g(0)=9-0=9\)

b. \(g(\frac{9}{8} )=9-8(\frac{9}{8} )\)

\(g(\frac{9}{8} )=9-9=0\)

c. \(g(s+1)=9-8(s+1)\)

\(g(s+1)=9-8s-8=-8s+1\)

Answer:

um 1/4

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

it is not strait

Hope this works!