hi guys can you guys answer this pls and explain plss​

A sequence is arithmetic sequence when the first differences are all the same non-zero number.

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a defined number. The common difference of the series, which is a constant value, is the same for all following pairs of terms.

As a result, a sequence can be said to be arithmetic if its first differences all contain the same non-zero value. For instance, the arithmetic sequence 3, 6, 9, 12, 15,... has a common difference of 3.

To know more about Arithmetic sequence, visit,

https://brainly.com/question/6561461

#SPJ4

The fraction of the counters that Lesleay gets is 5/9.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. An example is 1/2.

The fraction of the counters that Lesleay gets = number of counters she gets / total number of counters

10/18 = 5/9

To learn more about fractions, please check: https://brainly.com/question/915789

#SPJ1

Answer:

A

Step-by-step explanation:

They are corresponding angles because they are on the same side of the transversal, but one is an interior and one is an exterior angle.

The unit rate of the new soda is 8.2 cents per ounce, rounded to the nearest tenth of a cent. This is calculated by taking the total cost of the soda ($3.31) and dividing it by the number of ounces (39 ounces).

To calculate the unit rate, you must divide the total cost by the number of units. In this case, the total cost is $3.31 and the number of units is 39 ounces. The calculation looks like this:

$3.31/39 ounces = 0.084687

Since we are looking for the unit rate rounded to the nearest tenth of a cent, we can round the result to 0.085. Then, we can convert this to a more readable form by multiplying it by 100, which gives us 8.5 cents per ounce. Finally, we can round this to 8.2 cents per ounce to get our final answer.

In conclusion, the unit rate of the new soda is 8.2 cents per ounce, rounded to the nearest tenth of a cent.

For more questions like New Soda visit the link below:

https://brainly.com/question/28654772

#SPJ4

Answer:

50.27 mi

Step-by-step explanation:

lol

Answer:

rectangular pyramid

Step-by-step explanation:

Answer:

250, 4000, 20250

Step-by-step explanation:

\(\frac{2}{5}a^{4}\)

2/5 × 5^4 = 250

2/5 × 10^4 = 4000

2/5 × 15^4 = 20250

Hope this helps! :)

Answer:

32 miles

Step-by-step explanation:

9 + 9 + 7 + 7 = 32

Helping in the name of Jesus.

In the Oymple race with 7 competitors, the number of ways to award the gold, silver, and bronze medals without any ties is 210.

To determine the number of ways the medals can be awarded, we can use the concept of permutations. In this case, we have 7 competitors vying for the medals, and we need to select 3 of them to receive the gold, silver, and bronze medals. Since order matters, we use the permutation formula.

The number of ways to select the gold medalist is 7, as any of the 7 competitors can win gold. After selecting the gold medalist, we have 6 remaining competitors who are eligible for the silver medal. The number of ways to select the silver medalist from the remaining 6 is 6. Finally, after selecting both the gold and silver medalists, we have 5 remaining competitors eligible for the bronze medal. Thus, the number of ways to select the bronze medalist is 5.

To find the total number of ways to award the medals, we multiply the number of choices at each step. Therefore, the total number of ways to award the gold, silver, and bronze medals without any ties in a race with 7 competitors is 7 × 6 × 5 = 210.  

Learn more about ways here:  

https://brainly.com/question/850527

#SPJ11

Synthetic division is a yet another way to divide a polynomial by the factor, where k is a constant.

What is a synthetic division?

Synthetic division is usually used to find factors of polynomials of degree 3 that cannot be factored by grouping the polynomial.

Synthetic division is also used to find factor polynomials of degree 4 or higher.

We use synthetic division if and only if no other methods will work since there is a trial and error aspect to using it.

Taking an example:

We have to find the roots of the polynomial, \(f(x)= x^3+3x^2-4\)

Substituting x=1 in the above equation, we get,

f(1)= \(1^3+3-4\)=0

Thus, (x-1) is a root of the above polynomial.

Dividing the given function by (x-1)

\(x^3+3x^2-4/x-1\\=x^2+4x+4\\=(x+2)^2\)

Thus, the roots of the given polynomial are given as, (x-1) and \((x+2)^2\).

Hence, this is the synthetic division to find out the roots of the polynomial.

To know more about synthetic division:

https://brainly.com/question/10465785

#SPJ4

Answer:

6 square units

Step-by-step explanation:

area of a triangle = 1/2( base length x height )

The height of the triangle shown is 6 units

And the base length is 2 units

So the area would be 1/2 ( 6 * 2 )

6 * 2 = 12

12 * 1/2 = 6

The area is 6 square units

Answer:

\( \frac{1}{7}\)

Answer:

1/7

Step-by-step explanation:

there is seen prizes and he pulls seven times so the odds would be 1/7

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

......s.s.s..s.s.s.s.s.s.ss..s.s

In general, economists are critical of monopoly when there is a lack of competition in the market. Hence, option 1) is correct.

This includes situations where there are only a few firms operating in the market, as well as situations where there is a natural monopoly, which occurs when the most efficient market structure involves only one firm due to high fixed costs. However, even in cases of persistent economies of scale where it may seem like a monopoly is necessary for efficiency, economists still tend to be critical as monopolies can lead to higher prices, lower quality products, and reduced innovation.

A monopoly in economics is a scenario when one business or entity has complete control over the production and distribution of a specific good or service. Due to the monopolist's ability to set prices above what the market would otherwise bear, there would be less consumer surplus and associated inefficiencies. Monopolies can develop as a result of entry-level restrictions, such as expensive beginning fees or legal requirements, or through acquiring rival businesses. Monopolies may be regulated or dismantled by governments in an effort to boost competition and safeguard the interests of consumers. Monopolies are a fundamental idea in industrial organisation and have significant effects on the composition and operation of markets.

Learn more about monopoly here:

https://brainly.com/question/15188005

#SPJ11

Answer:

68

Step-by-step explanation:

because first u have to add it all up then take away

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

|

|

|

|

| x

|

|

|

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

|

|

|

|

|

|

|

|

|

B

|

|

|

|

|

|

|

|

|

|

|

A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer: He can play 6 games

Step-by-step explanation:

40-10 = 30

30- 12 = 18

18- 8.50 = 9.50

9.50 divided by 1.50 = 6.3

In this question, the gradual, long-term movement in time series data is referred to as temporal variation.

The correct answer is a. temporal variation. Temporal variation describes the systematic and long-term changes that occur in time series data over an extended period. It is characterized by a gradual shift or trend in the data points, indicating an underlying pattern or direction.

Temporal variation can be observed in various contexts, such as economic indicators, population growth, weather patterns, and stock market trends. It reflects the impact of factors that change over time, such as demographic shifts, technological advancements, economic cycles, or environmental conditions.

It is important to differentiate temporal variation from other types of movements in time series data. Cyclical movement refers to regular fluctuations that occur within a specific time frame, while exponential smoothing and linear regression are statistical techniques used to analyze and forecast time series data. Therefore, the correct term to describe the gradual, long-term movement in time series data is temporal variation.

Learn more about variation here:

brainly.com/question/14254277

#SPJ11

The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

Learn more about congruence rule here

brainly.com/question/29548914

#SPJ4

Answer:

D. The true answer is D. -2<x<2

We are required to find the LCM of

Factorize the first polynomial

We can see that the second polynomial (w+4) is a factor of the first polynomial 5(w+4)(w-4)

Hence,

;

Answer:

Maybe how many people are in the park

For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

"It is an expression that defines a relationship between one variable and another variable."

For given example,

the rate at which people enter amusement park is modeled by the function

\(e(x) = 0.03x^3 + 2\)

where the rate is measured in hundreds of people per hour since the gates opened.

The rate at which people leave the amusement park is modeled by the function

\(l(x) = 0.5x + 1\)

where the rate is measured in hundreds of people per hour since the gates opened.

First we find the subtraction of functions \((e-l)(x)\).

\(\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1\)

For x = 4,

\(\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}\)

As, the rate is measured in hundreds of people per hour

So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

Lean more about function here:

https://brainly.com/question/13461298

#SPJ2

Answer: 28.

Step-by-step explanation:

Let's define D = # of marbles in Damon's bag at the beginning.

First, he gave D/2 + 2 marbles to Artemio, so now he has:

(D - D/2 - 2) = (D/2 - 2) marbles left.

Now, he gives 1/4 plus of what he has left plus 5 to Banou, so he gives:

(D/2 - 2)/4 + 5 marbles to Banou.

Then Damon has now:

(D/2 - 2) - (D/2 - 2)/4 - 5 = 3*(D/2 - 2)/4 - 5.

Now Damon gives half of this to Alex, then the amount that he has left is:

(3*(D/2 - 2)/4 - 5)/2

And we know that this is equal to 2, then we can solve this equation as:

(3*(D/2 - 2)/4 - 5)/2 = 2

Let's solve this for D.

(3*(D/2 - 2)/4 - 5) = 2*2 = 4.

3*(D/2 - 2)/4 = 4 + 5 = 9

3*(D/2 - 2) = 9*4 = 36

(D/2 - 2) = 36/3 = 12

D/2 = 12 + 2 = 14

D = 2*14 = 28

Damon initially had 28 marbles.

The area of the water well is \(4\pi r^2\)

The radius is given as:

Radius, R = 2r

The area of the water well is calculated using:

\(A = \pi R^2\)

This gives

\(A = \pi (2r)^2\\\\\\\)

Evaluate the expression

\(A = 4\pi r^2\)

Hence, the area of the water well is \(4\pi r^2\)

Read more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

25 grays, 7 pink, 22 orange

total marbles- 54

marbles that are not grey- 29

P(not grey): 29/54

Answer:

B

Step-by-step explanation:

A and D are wrong because both x and y are going up.

For B and C, just look at the numbers. The x numbers are getting larger, while the y numbers are getting smaller. Or you can graph it. (that would take longer though)

Answer:B!

Step-by-step explanation:

Using it's concept, the relative frequency for people who can only see the sunset is: 12/38.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

From the two-way frequency table, we have that there are 38 people, out of which 12 can see the sunset but not the sunrise, hence the relative frequency for people who can only see the sunset is: 12/38.

More can be learned about relative frequencies at https://brainly.com/question/23359601

#SPJ1

Answer: c

Step-by-step explanation: