4 2/5 divided by 1 1/3

Answer:

The explicit equation that models the sequence is [tex]f(n)=25-4(n-1)[/tex].

Step-by-step explanation:

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference.

In general, this is the standard explicit formula of an arithmetic sequence whose first term is A and common difference is B:

                                                 [tex]f(n)=A+B(n-1)[/tex]

The sequence {25, 21, 17, 13, ...} is an example of an arithmetic sequence the same number, -4, is subtracted to each term to get to the next term.

We know the first term is 25 and common difference is -4.

Applying the standard explicit formula of an arithmetic sequence we get that

[tex]f(n)=25-4(n-1)[/tex].

The explicit equation is aₙ = 29 - 4n

25, 21, 17, 13...….

The sequence follows an arithmetic sequence. Therefore,

common difference (d) = 21 - 25 = -4

first term(a) = 25

Therefore, the explicit equation can be represented below:

aₙ = a + (n - 1)d

aₙ = 25 + (n - 1)-4

aₙ = 25 - 4n + 4

aₙ = 29 - 4n

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Answer: negative infinity to positive infinity.

Step-by-step explanation:

Answer:

The domain of the function is negative infinity

to positive infinity because an exponent can be any real number.

Next, The range of the function is zero

to positive infinity because 4x is always positive.

Step-by-step explanation:

Edge test

Answer:

540°

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Find the correct answer

The more plants tested, the better average that you will have.  Therefore, since Brenden tested 24 plants, which is the most, his data is the most representative of average plant growth.

Answer:  Option B, Brenden

Answer:

Brenden

Step-by-step explanation:

Larger the sample size, better representative it is of the population

Answer:

the last one is linear

the throwing a baseball in the air is quadratic

half life of a pesticide is exponential

thats all i know

Step-by-step explanation:

Answer:

  216

Step-by-step explanation:

Each of the 36 tiles has 3×2 = 6 triangles, so there are a total of ...

  36×6 = 216 . . . triangles

Answer:

0.00037037037 m3 / kg

Step-by-step explanation:

Answer:

A: 6

B: 9

Step-by-step explanation:

All you do is multiply 1.5 times 4. To get A

And for B you just multiply 1.5 times 6

hi

Seven Balls , one of each color.  Then 1/7 possibility to choose purple

The question pertains to cumulative probability in a binomial distribution, where the probability of Nicole renting no more than two comedies out of seven movies is calculated by adding the probabilities of renting 0, 1, or 2 comedy movies.

The question is about calculating a cumulative probability, specifically the probability that Nicole rents no more than two comedy movies out of seven. Here the events are not mutually exclusive, and we use the concept of binomial distribution to solve it.

The binomial distribution describes the probability of having exactly k successes (defined as the desired outcome, in our case renting a comedy) in n independent Bernoulli trials (independent events with two possible outcomes - here, renting a comedy or not).

To calculate the binomial distribution, we would use the formula P(k; n, p) = C(n, k) * (p^k) * (1-p)^(n-k), where P(k; n, p) is the probability of k successes in n trials, C(n, k) is the combinations of n items taken k at a time, and p is the probability of a success on a single trial.

In this case, we want to find the cumulative probability, i.e., the probability that Nicole rents 0, 1, or 2 comedy movies. This can be calculated as P(0;7,0.52) + P(1;7,0.52) + P(2;7,0.52).

C(n, k) can be calculated using the formula n! / [(n-k)!k!], where n is the total number of trials and k is the number of successes and '!' denotes factorial.

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To determine the probability that Nicole rents no more than two comedies out of seven movies, we apply the binomial probability formula to calculate the cumulative probability of renting 0, 1, or 2 comedies, and summing those probabilities gives the final answer.

The problem at hand requires calculating the probability of an event occurring a certain number of times given a fixed probability. In this case, we are interested in finding the probability that Nicole rents no more than two comedies out of the next seven movies from iTunes, with the probability of renting a comedy being 52%.

To solve this, we can use the binomial probability formula, which is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where 'n' is the number of trials, 'k' is the number of successes, and 'p' is the probability of success on any given trial. We are looking for P(X ≤ 2), which is the cumulative probability of renting 0, 1, or 2 comedies.

Summing these probabilities will give us the final probability that Nicole rents no more than two comedies.

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Answer:

P(S/A) = 0.6235

Step-by-step explanation:

Let's call S that you successfully bid, S' that you unsuccessfully bid, A that the agency asked for more information and A' that the agency didn't asked for more information.

So, the probability P(S/A) that the bid is successful given that the agency asks for more information is calculated as:

P(S/A) = P(S∩A)/P(A)

Where P(A) = P(S∩A) + P(S'∩A)

Then, the probability P(S∩A)  that you successfully bid and the agency asked for more information is:

P(S∩A) = 0.51 * 0.7 =  0.357

Because your firm has a 51% of successfully landing the contract and if you successfully bid, then the probability the agency asks for information is 70%.

At the same way, the the probability P(S'∩A)  that you unsuccessfully bid and the agency asked for more information is:

P(S'∩A) = (1-0.51) * 0.44 = 0.2156

So, P(A) and P(S/A) are equal to:

P(A) = 0.357 + 0.2156 = 0.5726

P(S/A) = 0.357/0.5726 = 0.6235

Answer:

The answer would be AEC because the angle all would add up to be 180 degrees

The straight angle is made by the line. the correct option is D.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Given

The two intersecting lines point to name a straight angle.

We know that the straight angle is made by the line.

Then

∠CED and ∠BEA are acute angles.

∠BEC and ∠ACD are obtuse angles.

∠AEC and ∠BED are straight angles.

Thus, the correct option is D.

More about the angle link is given below.

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To find the volume of air in a beach ball with a 12-inch diameter, one must calculate the volume of a sphere using the formula V = 4/3 π r^3, with the radius being half the diameter, resulting in approximately 904.78 cubic inches.

The question you're asking pertains to the calculation of the volume of a sphere, as the beach ball is essentially a spherical object. When you have a diameter, the radius (which is half of the diameter) is necessary for the volume calculation. The formula for the volume of a sphere is given by V = 4/3 π r^3, where V is the volume, π (pi) is approximately 3.14159, and r is the radius of the sphere.

First, we convert the diameter into the radius by dividing by 2: 12 inches / 2 = 6 inches. Then, we use the formula to calculate the volume: V = 4/3 π • (6 inches)^3.

Therefore, the volume is: V = 4/3 π • 216 inches^3. After calculating this, we find that the volume of air inside the beach ball is approximately 904.78 cubic inches, assuming no other factors are affecting the volume, such as the thickness of the ball's material.

Answer:

The answer is C

Hope it helps! (I literally just took it on edge)

16x² + 24xy + 9y² can be represented as a perfect trinomial.

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic and so on. A trinomial is a polynomial with three terms.

A perfect square trinomial is a trinomial that can be obtained from a binomial equation.

16x² + 24xy + 9y² = 16x² + 8xy + 18xy + 9y²

= 8x(2x + y) + 9y(2x + y)

= (8x + 9y)(2x + y)

16x² + 24xy + 9y² can be represented as a perfect trinomial.

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Answer:

ITS 16!!!!!!!

Step-by-step explanation:

I TOOK IT ON AN ASSIGNMENT!!!!!!!!!!

SOOOOOO ITS CCCCCCCCCC

Answer:

step 1

Step-by-step explanation:

Alanna divided one side of the equation by 4 but multiplied the other side by 444. Alanna should have divided both sides of the equation by 4 to isolate c.

Alanna's mistake was dividing the equation by 12.4 instead of dividing both sides by 4.

Alanna made a mistake in the second step of solving the equation. The correct step should be as follows:

Step 1: 4c = 12

Step 2: Divide both sides by 4, not 4.4: (4c) / 4 = 12 / 4

Step 3: c = 3

So, the correct solution is c = 3, not c = 48 as Alanna calculated.

Alanna's mistake in solving the equation 4c = 12 occurred during the second step of the process. When attempting to isolate the variable "c," she divided both sides of the equation by 4, but her error lies in the value she used for this division. Instead of correctly dividing by 4, she mistakenly divided by 4.4.

The correct approach in this situation is to perform the same mathematical operation on both sides of the equation to maintain its balance. Dividing both sides by 4 allows us to isolate "c" and find its value. When we divide 12 by 4, we get 3, which is the correct solution to the equation.

In contrast, Alanna's incorrect division by 4.4 led her to the erroneous result of c = 48. This error likely arose from a simple calculation mistake. It's crucial to pay attention to each step of solving equations to avoid such errors, as they can significantly affect the final solution and lead to incorrect conclusions.

In summary, Alanna's mistake was dividing both sides of the equation by 4.4 instead of 4, resulting in the incorrect solution c = 48, when the correct solution is c = 3.

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Answer:D.27

They already won 12 games (80% of 15%) and need or win 15 more.

Check: 15+12 =27 =90%

30 30

Answer:

C

Step-by-step explanation:

First, find out how many games they won:

x/15 = 80/100

Cross multiply

x × 100 = 15 × 80

100x = 1200

x = 12

They won 12 out of 15 games

Second, find out how many wins out of 30 games are needed to have a 90% winning percentage

x/30 = 90/100

Cross multiply

x × 100 = 30 × 90

100x = 2700

x = 27

27 game wins are needed to have a 90% winning percentage

Lastly, find the difference between 27 wins (total needed) and 12 wins (total number of wins they currently have)

27 - 12 = 15

They need to win 15 more games to have a 90% winning percentage

Answer:

3.1675

Step-by-step explanation:

"Your answer needs to be at least 20 characters long"

Answer:

3.1675

Step-by-step explanation:

Since the average is also referred to as the mean, you have to add them all together and divide it by the number of numbers in the data set: 3.29+2.59+4.29+2.50= 12.67 12.67 divided by 4= 3.1675

hope this helps!!

ps. could you please help me with my recent question??

Answer:

C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases

Step-by-step explanation:

Many people visit parks in the summer, which is when the flowers are supposed to bloom/blossom.

Answer:

D 18

Step-by-step explanation:

3z + 6

Let z=4

3*4 +6

Multiply first

12+6

Then add

18

Known :

z = 4

Asked :

3z + 6 = ...?

Answer :

3z + 6

= 3(4) + 6

= 12 + 6

= 18

So, the value of 3z + 6 is 18 (D)

Hope it helpful and useful :)

The value of 3n-(2+n) is 6 for n=4. This is obtained by applying simple algebraic operations such as adding like terms to the given expression.

An expression consists of coefficients, variables, and constants.

Given expression is 3n - (2+n) and it has a solution 6 for a value of n.

So, it can be written as 3n - (2+n) = 6

Expanding the obtained equation:

3n-2-n=6

Adding like terms

(3n - n) - 2 = 6

2n=6+2

2n=8

⇒ n=4

Therefore, for n=4 the value of the given expression is equal to 6.

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A sequence [tex]\{a_n\}[/tex] is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the [tex]n[/tex]th term, [tex]a_n[/tex], in terms of the previous, [tex](n-1)[/tex]th term, [tex]a_{n-1}[/tex]:

[tex]a_n=a_{n-1}+3[/tex]

By this definition, we can just as easily write the [tex](n-1)[/tex]th term in terms of the [tex](n-2)[/tex]th term:

[tex]a_{n-1}=a_{n-2}+3[/tex]

Then, substituting this into the previous equation, we have

[tex]a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3[/tex]

We can continue this process to write [tex]a_n[/tex] in terms of [tex]a_1[/tex]:

[tex]a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3[/tex]

[tex]a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3[/tex]

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to [tex]n[/tex].) The pattern continues down to

[tex]a_n=a_1+(n-1)\cdot3[/tex]

The first term in this sequence is [tex]a_1=45[/tex], so we have

a. [tex]a_n=45+3(n-1)=42+3n[/tex]

where [tex]n=1,2,3,\ldots[/tex].

b. You can fill in the blanks by just adding 3 to the previous term:

45, 48, 51, 54, 57, 60, 63, 66, 69, ...

Then, using the formula found in (a), the 15th term of the sequence is

[tex]a_{15}=42+3\cdot15=87[/tex]

Answer:

-1/6

Step-by-step explanation:

When dividing 2 by -12 you would use 2 as the numerator and -12 as the denominator and then simplify it by dividing both by two to end up with -1/6

Answer:

range: {4, 10, 16}

Step-by-step explanation:

Find the range of the function y = 3x - 2

for the domain (2, 4, 6).

There are only 3 domain values here.

so  3 range values.

y = 3*2 - 2 =  6 - 2 = 4

y = 3*4 - 2 = 12 - 2 = 10

y = 3*6 - 2 = 18 -2 = 16

range: 4, 10, 16

Answer: 4/3

Step-by-step explanation:

The method of SOH CAH TOA helps tremendously in this equation.

TOA is the one necessary for this problem as it means tangent = opposite side/adjacent side.

Opposite side = 4

Adjacent side = 3

Opposite side/adjacent side = 4/3

Answer:

(A)3,500 + 0.06x > 4,000 + 0.04x

Step-by-step explanation:

Jose's Earnings

Monthly Salary = $3,500

6% commission on his sales, x =0.06x

Total = 3500+0.06x

Maris' Earnings

Monthly Salary = $4,000

4% commission on her sales, x =0.04x

Total = 4000+0.04x

If Jose's earnings be greater than Maris' earnings, then:

3500+0.06x > 4000+0.04x

How did it get on the roof?

Answer:

The answer is A. 14.8 feet.

Explanation:

We can use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the ladder represents the hypotenuse, and the distance from the building and the height reached by the ladder represent the other two sides.

Let's denote:

- [tex]\( a \)[/tex] as the distance from the building to the base of the ladder (6 feet)

- [tex]\( b \)[/tex] as the height reached by the ladder up the building (what we need to find)

- [tex]\( c \)[/tex] as the length of the ladder (16 feet)

According to the Pythagorean theorem, we have:

[tex]\[ a^2 + b^2 = c^2 \][/tex]

Substituting the given values:

[tex]\[ 6^2 + b^2 = 16^2 \][/tex]

[tex]\[ 36 + b^2 = 256 \][/tex]

[tex]\[ b^2 = 256 - 36 \][/tex]

[tex]\[ b^2 = 220 \][/tex]

To find [tex]\( b \)[/tex], we take the square root of both sides:

[tex]\[ b = \sqrt{220} \][/tex]

Using a calculator, we find:

[tex]\[ b \approx 14.8 \][/tex]

So, the ladder can reach up to approximately 14.8 feet on the building to help save the cat.

Answer: there were 195,742 total views after 23 days

Step-by-step explanation: