THAT IS NEXT IN PATTERN 3,5,12,55,648

Answers

Answer 1

Note that the next number in the progression or sequence or pattern is 35,585.

What is progression?

Note that a number pattern is a series of numbers that adheres to a set of criteria. The rule might be mathematical, such as adding a constant value to each item in the series, or it can be based on some other logical relationship.

The next term in the sequence or pattern is derived as follows:

3x5 -3 = 12

5x12 -5 = 55

12x55 -12 = 648

55x648 -12 = 35,585

Therefore, it is correct to state that 35,585 is the next term in the sequence

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Related Questions

An experiment subject only to random fluctuation within a normal distribution collects the following set of unitless numerical values: 15.8, 17.8, 19.5, 20.0, 14.7, 16.6, 16.8, 19.4, 18.3
A number of hypotheses are put forward for the theoretical value of what is measured here. Select all of the theoretical values given below that can be ruled out by our usual 1-sigma uncertainty criterion. A. 15.6 B. 15.9 C. 19.5 D. 19.7 E. None of these theoretical values is confirmed by this data.

Answers

A one-sigma uncertainty criterion means that if a theoretical value falls within one standard deviation of the measured data, it is considered consistent with the data.

Using this criterion, we can rule out theoretical value D. 19.7, since it is outside the range of measured values.

The other theoretical values A. 15.6, B. 15.9, and C. 19.5 fall within one standard deviation of the measured data, so they cannot be ruled out by this criterion.

Therefore, the only theoretical value that can be ruled out by our usual     1-sigma uncertainty criterion is D. 19.7

It's worth noting that this method just gives a rough idea of the consistency of a theoretical value with the data.

Other methods, such as the chi-squared test, or Bayesian analysis could be used to find the best-fit theoretical value and its uncertainty, and confirm or rule out other theoretical values.

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Question 2
An ecosystem has algae as the main producer.

What most likely is the location of this ecosystem?


airair

desertdesert

mountainsmountains

seasea


Question 2
Facts:
Meerkats are small carnivores. They live in Africa. Meerkats live in extended families called gangs.

Situation:
A gang of eight meerkats lives in a desert.

Based on the given facts, what ecological level describes this gang?

Responses

biomebiome

communitycommunity

habitathabitat

population

Question 3

Kaylee is studying abiotic factors in a sea ecosystem.

What factors could she include in her study?

Select all that apply.

Responses

pressurepressure

temperaturetemperature

number of fishnumber of fish

growth of algae

Question 4,
What is a common limiting factor for populations living in desert biomes?

Responses

lack of top predatorslack of top predators

lack of waterlack of water

presence of sunlightpresence of sunlight

lack of soil nutrients

question 5.
What is carrying capacity?

Responses

the highest population of a species an environment can support over a long periodthe highest population of a species an environment can support over a long period

the highest biodiversity an environment can support for a short whilethe highest biodiversity an environment can support for a short while

the highest population of a species an environment can support for a short whilethe highest population of a species an environment can support for a short while

the highest biodiversity an environment can support over a long periodthe highest biodiversity an environment can support over a long period

Answers

a) The ecosystem is in the sea. Option D

b) The ecological level is population. option D

c) The factors in the study are pressure, and temperature

d) The common limiting factor in biomes is lack of water

e) The carrying capacity is the highest population an environment can support over a long period. Option A

What is the ecosystem?

We have to note that the ecosystem has to do with the part of the habitat that is composed of the living and the non living parts. The non living parts of the ecosystem are called the abiotic factors while the living parts of the ecosystem are called the biotic factors.

In the ecosystem, we have the producers, the consumers and the decomposers and these are called the trophic or the feeding levels in the system.

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The size of a pentagon are given as x, x+1,x+3,x-2 and 6.If the perimeter is less than 78cm and x is an interger.Find the largest value of x

Answers

The largest value of x is 13.

What is perimeter?

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The size of a pentagon are given as x, x+1,x+3,x-2 and 6.

The perimeter is less than 78 cm and x is an integer.

The perimeter of the pentagon = the sum of all the sides.

x + x+1 + x+3 + x-2 + 6 < 78

4x + 10 - 2 < 78

4x < 70

x < 14

The largest value of x is 13.

Therefore, the largest value of x is 13.

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Your grandparents started putting money away for you when you were born. If they put $100
each month into an account earning 3% compounded monthly, how much will be in the
account when you turn 18?

Answers

now, the assumption being that your granpa's are depositing the money at the beginning of the month.

[tex]~~~~~~~~~~~~\stackrel{\textit{deposits at the beginning of the period}}{\textit{Future Value of an annuity due}} \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]

[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic deposits}\dotfill & 100\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &18 \end{cases}[/tex]

[tex]A=100\left[ \cfrac{\left( 1+\frac{0.03}{12} \right)^{12 \cdot 18}-1}{\frac{0.03}{12}} \right]\left(1+\frac{0.03}{12}\right) \\\\\\ A=100\left[ \cfrac{(1.0025)^{216}-1}{0.0025} \right](1.0025) \implies \boxed{A \approx 28665.52}[/tex]

Write the data in order from least to greatest and circle the median.

Of 3.50 7.99 3.25 4.00 3.50 7.50 3.65 3.50 4.00

Answers

Answer:

The answer to your questionis 3.65

Answer:

3.25, 3.50, 3.50, 3.50, 3.65, 4.00, 4.00, 7.50, 7.99

3.65 is the median.

Step-by-step explanation:

You're welcome.

in 2015, the national highway traffic safety administration reported the number of pedestrian fatalities in san francisco county was 24 and that the number in los angeles county was 209. can we conclude that pedestrians are safer in san francisco than in los angeles? why or why not? if you answered no, what additional data would allow us to make a conclusion about which county is safer for pedestrians?

Answers

No, we cannot conclude that pedestrians are safer in San Francisco than in Los Angeles based on the data provided. The number of pedestrian fatalities in a given county is only one factor in determining the safety of pedestrians in that county.

Other factors, such as the number of pedestrians in each county, the number of vehicles in each county, the number of traffic laws in each county, and the number of traffic enforcement officers in each county, all play a role in determining the safety of pedestrians in a given county.

We would also need to consider other factors such as the number of pedestrian-friendly infrastructure in each county, the number of pedestrian-friendly policies in each county, and the number of pedestrian-friendly initiatives in each county. With this additional data, we would be able to make a more informed conclusion about which county is safer for pedestrians.

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Barbara ran
after lunch.
3
of a mile before lunch and of a mile
8
12
How far did she run in all?

Answers

Answer:

Step-by-step explanation:

1/2 is your answer

Answer the questions in image!
(The answers are already there, just figure out which go where.)

50 points!

Answers

A: 4

B: 1/3

C: 1/2

D: -4

E: 1

F: -5

Explanation: Parallel slopes tend to have the same slope but different equations of lines.

Perpendicular slope is the inverse of the slope.

an ordinary annuity pays 1000 quarterly for two years. how many payments are there?

Answers

The number of payments for the ordinary annuity that pays $1,000 quarterly for two years is 8.

What is an ordinary annuity?

An ordinary annuity's cash flows or payments occur at the end of the period, unlike an annuity due.

For quarterly payments, in a year, payments are made 4 times, that is, every three months.

For two years, the payments will be made 8 times (4 x 2).

Thus, we expect the ordinary annuity to pay $8,000 ($1,000 x 2 x 4).

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a manufacturer buys a new machine costing $180000 dollars. it is estimated that the machine has a useful lifetime of ten years and a salvage value of 6000 dollars at that time. assume the value of the machine varies linearly during this time. do not include dollar signs in your answers.

Answers

A manufacturer buys a new machine costing $180000 dollars. The value of the machine at the end of 10 years is $6000.

Calculate the annual depreciation of the machine.

Depreciation = (Purchase Price - Salvage Value) / Useful Life

Depreciation = (180000 - 6000) / 10

Depreciation = 174000 / 10

Depreciation = $17400 per year

Calculate the value of the machine at the end of each year.

Year 1: 180000 - 17400 = $162600

Year 2: 162600 - 17400 = $1452000

Year 3: 1452000 - 17400 = $1277600

Year 4: 1277600 - 17400 = $1103200

Year 5: 1103200 - 17400 = $928800

Year 6: 928800 - 17400 = $754400

Year 7: 754400 - 17400 = $580000

Year 8: 580000 - 17400 = $405600

Year 9: 405600 - 17400 = $231200

Year 10: 231200 - 17400 = $6000

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You are standing 143 feet away from the base of a building and your clinometer measures 17° when it’s looking at the top of the building. (This angle is the one between the ground and the top of the building). Please calculate the height of the building.

Answers

Answer:

The height of the building is 43.7 feet.

Step-by-step explanation:

Attached is a sketch of the problem.

We can use SOH CAH TOA to find our answer.

In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.

We can calculate the height of the building by using the TAN function.

So we can say the tangent of angle x is the opposite side divided by the adjacent side.

[tex]tan(x)=\frac{O}{A}[/tex]

Lets solve for [tex]O[/tex].

Multiply both sides by [tex]A[/tex].

[tex]tan(x)*A=\frac{O}{A}*A[/tex]

Simplify the right side by cancelling the common factor of [tex]A[/tex].

[tex]tan(x)*A=O\\O=A*tan(x)[/tex]

Now lets evaluate the height of the building.

In this example we are given

[tex]x=17\\A=143[/tex]

[tex]O=143*tan(17)[/tex]

[tex]O=43.7195[/tex]

At a given point 67.7ft at ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees find the height of the roof worker and the distance of the ø if someone is observing below.

Answers

The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.

The base will be calculated as:-

tan(38.6) = P / B

tan(38.6) = 67.7 / B

B = 67.7 / tan(38.6)

B = 54.8 ft

The height will be calculated as:-

Cos(42.4) = B / H

H = 84.8 / Cos(42.4)

H = 114.83 ft

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Alyson deposits $500 in the bank for 12 years. The bank offers her a 4%
simple interest rate. How much money will be in her account at the end of
the 12 years? (Remember to round your answer to the nearest cent if
necessary.)

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &12 \end{cases} \\\\\\ A = 500[1+(0.04)(12)] \implies A = 740[/tex]

Use the formula F =9 over 5 C + 32 to answer the following

Maha checked the outside temperature at noon one day and found it was 26° C. At 10 PM when she checked, the outside temperature was 18° C. How much, in degrees Fahrenheit, did the temperature drop between noon and 10 PM? Round your answer to the nearest tenth.

Answers

The temperature drop between noon and 10 PM is 14.4° F.

What is the conversion of Celsius to Fahrenheit?

Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.

The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.

Given that, Maha checked the outside temperature at noon one day and found it was 26° C.

So, the temperature in Fahrenheit is °F =26° ×(9/5)+32

= 46.8+32

= 78.8° F

At 10 PM when she checked, the outside temperature was 18° C.

So, the temperature in Fahrenheit is °F =18° ×(9/5)+32

= 32.4+32

= 64.4° F

Difference in temperature =78.8-64.4

= 14.4° F

Therefore, the temperature drop between noon and 10 PM is 14.4° F.

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show me prymind with base length: 8 feet side length: 6.56 feet (calculated using the pythagorean theorem) height: 12 feet rmid

Answers

A diagram of a pyramid with the given measurements is not possible to generate.

But we can calculate he base length, side length and height of a pyramid using the Pythagorean theorem.

In a pyramid, the slant height (rmid) can be found using the Pythagorean theorem. If the base length (b) and the height (h) of the pyramid are known, the slant height (rmid) can be calculated using the formula:

rmid = sqrt(b^2 + h^2)

In this case,

rmid = sqrt(8^2 + 12^2) = sqrt(64 + 144) = sqrt(208) = 14.4

You can also use this information to find the side length of the pyramid, which is the length of one of the triangular faces. Using the Pythagorean theorem again:

side length = sqrt(rmid^2 - (b/2)^2)

In this case,

side length = sqrt(14.4^2 - (8/2)^2) = sqrt(207.36 - 16) = sqrt(191.36) = 6.56

So, based on the information provided, the base length of the pyramid is 8 feet, the side length is 6.56 feet and the height is 12 feet and the slant height is 14.4 feet.

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Factor out the greatest common factor from the given polynomial 28X -2

Answers

The factorised for. of the given Polynomial expression using the greatest common factor is; 2 (14x - 1).

What is the factorised form of the given Polynomial expression?

It follows from the task content that the factorised form of the given Polynomial expression is to be determined using the greatest common factor.

Since the given expression is; 28x - 2.

By careful observation of the two terms (28x and -2) in the polynomial expression; the greatest common factor is; 2.

Hence, the factorised form of the polynomial expression as required is; 2 (14x - 1).

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Let ABCD be a parallelogram. Let M be the midpoint of line AB and N be the midpoint of line AD. Diagonal BD intersects line CM and line CN at P and Q, respectively. Find PQ/BD.

Answers

The value of  PQ / BD of given parallelogram where Diagonal BD intersects line CM and line CN at P and Q, respectively  = 1/3

Let's consider the two triangles BMP and DCP.
Here,
∠DPC = ∠BPM (because they are vertically opposite angles)
∠DCP = ∠BMP (because they are alternate interior angles of transversal CM with DC // BM)
∴△BMP∼△DCP (By AA theorem)
Thus,
ABCD is a parallelogram. Therefore AB = DC and AD = BC.
It is given that M is the midpoint of AB
BD  = DQ  + BQ                BD = BP  + PD

BD = 2BQ  + BQ               BD = 2PD + PD

BD  = 3BQ                        BD = 3PD

therefore

BQ  = PD And

Since DQ  = 2BQ  then  DQ  = 2PD and

PD + PQ = 2PD   subtract PD from each side

PQ  = PD

so BQ = PD  = PQ

BD = PD + PQ + BQ

BD  = PQ  + PQ  + PQ

BD  = 3PQ

Therefore the value of  PQ / BD of given parallelogram is PQ / BD  = 1/3.

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If a laborer weighing 895N and carrying bricks weighing 575N to scaffold up a ladder 3.1 m above the ground how much work has he done?

Answers

The amount of work that the laborer has done, given the weight of the bricks and the laborer is 4, 577 Joules .

How to find the work done ?

To calculate the amount of work done by the laborer, we can use the formula:

work = force x distance x

where:

force is the force applied,

distance is the distance moved,

The force applied by the laborer is the combined weight of the laborer and the bricks:

= 895N + 575N

= 1, 470N

Therefore, the work done by the laborer is:

Work = 1, 470N x 3.1m

= 4577 Nm or Joules (J)

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A friend has a 81% average before the final exam for a course. That score includes everything but the final, which counts for 25%

Answers

The best grade that can be earned is given as 0.8575

How to solve for the grade

If he is able to get the sum of 100 percent in the final exam, trhis would count as 25 percent of the total grade that he has

100 - 25 = 75%

Then we would have

0.75 * 81 + 25 / 100

= 85.75 / 100

= 0.8575

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Question

A friend has a 81% average before the final exam for a course. That score includes everything but the final, which counts for 15% of the course grade.

What is the best course grade your friend can earn?

root24 solve the initial value problem with . to solve this, we should use the substitution help (formulas) help (formulas) enter derivatives using prime notation (e.g., you would enter for ). after the substitution from the previous part, we obtain the following linear differential equation in . help (equations) the solution to the original initial value problem is described by the following equation in . help (equations)

Answers

The solution equation gives us y = 5x/2 - 2, so when x = 0, we get y = -2, which matches the initial condition.

The solution to the initial value problem can be obtained by using the substitution method. We first substitute the given function into the differential equation, which gives us the linear differential equation in y:

y' + 2y = 5x

We can then solve this linear differential equation by integrating both sides and applying the initial condition. This gives us the solution in y:

y = 5x/2 + C

where C is an arbitrary constant. To calculate the value of C, we plug in the initial condition y(0) = 2 into the equation. This gives us C = -2, so the solution to the initial value problem is given by:

y = 5x/2 - 2.

To illustrate this, let's consider the initial condition y(0) = 2. Plugging this into the solution equation gives us y = 5x/2 - 2, so when x = 0, we get y = -2, which matches the initial condition.

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The figure below is dilated by a factor of centered at the origin. Plot the resulting image.

Answers

A graph of the resulting image after a dilation by a factor of 1/4 centered at the origin is shown in the image attached below.

What is dilation?

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of 1/4 centered at the origin as follows:

Ordered pair T (8, 8) → Ordered pair T' (8 × 1/4, 8 × 1/4) = Ordered pair T' (2, 2).

Ordered pair R (-8, -4) → Ordered pair R' (-8 × 1/4, -4 × 1/4) = Ordered pair R' (-2, -1).

Ordered pair S (4, -8) → Ordered pair S' (4 × 1/4, -8 × 1/4) = Ordered pair S' (1, -2).

Lastly, we would use an online graphing calculator to plot the resulting data points.

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In a​ company, 85​% of the workers are women. If 315 people work for the company who​ aren't women​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answers

There are 2100 workers in​ the company

How many workers are there in​ all?

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Since 85​% of the workers are women, we can say:

The percentage of worker that aren't women = 100% - 85​% = 15​%

Let N represent the number of all workers. If 315 people work for the company who​ aren't women. We can say:

15​% of N = 315

15/100 × N = 315

0.15N = 315

N = 315/0.15

N = 2100 workers

Method 2:

We can write:

N - 0.85N = 315

0.15N = 315

N = 315/0.15

N = 2100 workers

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Find the average rate of change of the function on the interval specified for real number h.
p(x) = 2x + 5 on [2, 2 + h]

Answers

The average rate of change on the interval [2, 2 + h] is r = 2.

How to find the average rate of change?

Wewant to find the average rate of change of p(x) = 2x + 5 on the interval [2, 2 + h]

Remember that the average rate of change on an interval [a, b] is:

r = ( p(b) - p(a))/(b - a)

So on this case, we have:

r = ( p(h + 2) - p(2))/(2 + h - 2)

r = ( 2*(x + h) + 5 - 2*x - 5)/h

r = (2h)/h

r = 2

The average rate of change is 2.

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8. Find a when 120 ÷ a = 12.
a =

Answers

Answer:

10

Step-by-step explanation:

120/a = 12

120=12a

120/12 = a

a = 10

Answer:

1,440

Step-by-step explanation:

120 x 12 = 1,440

120 / 1,440 = 12

Write an algebraic equation for the following.

Three times the sum of a number and seven is two less than five times the number.

Answers

Answer:

We dissect each statement from the problem above to fully understand it.

the sum of a number and 7 is (x + 7)

3 times this is 3(x + 7)

is means the equal sign here 3(x + 7) =

Two less then 5 times the number is 5x - 2.

Therefore, the answer is B, 3(x + 7) = 5x - 2

A construction company charges $15 per for hour for debris removal, plus a one time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. Write an equation of a line, in slope intercept form, to find the total fee y for any number of hours x

Answers

An equation of a line, in slope-intercept form, for the total fee y for any number of hours x is y = 15x + 60.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

x represents the number of hours.y represents the total fee.m represents the slope of a line.c represents the y-intercept of a line.

Since the total fee that is being charged by this construction company is denoted by y and it charges $15 per hour for debris removal, plus a one time fee, an equation that models this situation is given by;

y = 15x + c

Next, we would determine the y-intercept as follows;

195 = 15(9) + c

y-intercept, c = 195 − 135

y-intercept, c = 60.

Therefore, the required equation is y = 15x + 60.

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Angle

(Choice B)
B
Line

(Choice C)
C
Line segment

(Choice D)
D
Point

(Choice E)
E
Ray

(Choice F)
F
None of theseAngle

(Choice B)
B
Line

(Choice C)
C
Line segment

(Choice D)
D
Point

(Choice E)
E
Ray

(Choice F)
F
None of these

Answers

The correct answer is, the figure is a line segment.

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

from the given figure,

we get,

AB is a line segment.

Hence, The correct answer is, the figure is a line segment.

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if we take a sample of reee's pieces has 1000 pieces. the manufacturer says that exactyl 40% of the candies are organe. if we select a sample of 50 pieces, how many will be oragne. let x

Answers

If we take a sample of 50 Reece's Pieces candies, we would expect about 20 of them to be orange.

The manufacturer says that exactly 40% of the candies are orange. We can use this information to find the expected value of the number of orange candies in a sample of 50 candies.

Expected value is found by multiplying the number of trials (in this case, 50) by the probability of success (in this case, 40% or 0.40)

x = (50)(0.40) = 20 candies.

So, if we take a sample of 50 Reece's Pieces candies, we would expect about 20 of them to be orange.

It's worth noting that this is an expectation, the actual number of orange candies in the sample of 50 candies may be different from the expected value.

The correct question of the following problem is:

If a sample of 1000 Reese's Pieces contains 40% orange candies, and a random sample of 50 Reese's Pieces is selected, how many orange candies can be expected to be in the sample of 50 Reese's Pieces?  Let x be the number of orange candies in the sample of 50 Reese's Pieces.

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Figure 1 and figure 2 are right triangles.

two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 4 units long

What scale factor was used to produce Figure 2 from Figure 1?

A. 3
B. 4
C. 3 over 4
D. 4 over 3

Answers

Answer:

4

Step-by-step explanation:

because its the factor

The scale factor of the dilation of triangles is k = 4/3

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the scale factor of the dilation be represented as k

Now , the measure of leg of the first triangle is a = 3 units

The measure of leg of the second triangle is b = 4 units

So , the dilated triangle is given by

3 k = 4

Divide by 3 on both sides , we get

k = 4/3

Hence , the dilation factor is k = 4/3

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Homework 3x-5; x-5; an al 2x-14;.:. arithmetic sequence. Calculate the Value of x Find the Which term the First three are in Determine the general term of the Sequence Soth term the sequence is equal to -62 terms of​

Answers

The value of x is found to be 3 and the arithmetic sequence is found to be 4, -2, -8, ... .

What is arithmetic sequence?

The nth term of an arithmetic progression is determined using the arithmetic sequence formula. The series where the common difference between any two next words stays constant is known as an arithmetic sequence.

The arithmetic sequence is 3x - 5, x - 5, 2x - 14, ....

If the numbers are in an arithmetic sequence, then the difference between the first and second term must be the same as the difference between the second and third term.

(x - 5) - (3x - 5) = (2x - 14) - (x - 5)

x - 5 - 3x + 5 = 2x - 14 - x + 5

-2x = x - 9

-2x - x = -9

-3x = -9

x = 3

The first three terms can be obtained by substituting the value of x in the terms -

The first term - 3(3) - 5 = 4

The second term - 3 - 5 = -2

The third term = 2(3) - 14 = -8

Therefore, the arithmetic sequence is 4, -2, -8, .....

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