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Help Meeeeeeeeeeeeeeeeeeeeeeeeeee Pleaseeeeeeeeeeeeeeeeeeeeee!!!!!

Answers

Answer 1

Answer:

  a) 23.1 million

  b) year 2013

Step-by-step explanation:

Given a population in millions is modeled by A = 23.1e^(0.0152t) for t years after 2000, you want to know the population in year 2000, and the year in which the population is 28.3 million.

a) Initial population

When t=0, the exponential factor is 1. The population is given by the coefficient of that factor: 23.1

The population in 2000 was 23.1 millions.

b) Year of 28.3M

We can solve for t to find the year the population is 28.3 million:

  28.3 = 23.1e^(0.0152t)

  28.3/23.1 = e^(0.0152t) . . . . .divide by 23.1

  ln(28.3/23.1) = 0.0152t . . . . . take natural logs

  t ≈ 13.36

The population will reach 28.3 million in the year 2013.

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Related Questions

Scott has a bag containing plain chocolate pieces and another bag containing peanut chocolate pieces. The bag with plain chocolate pieces contains 6 blue, 1 yellow, 3 green, and 2 red candies. The bag with peanut chocolate pieces contains 3 blue, 1 yellow, and 4 green candies. Scott will randomly select 1 candy from each bag. What is the probability that Scott will select a green candy from each bag?​

Answers

Answer: 35%

Step-by-step explanation:

The total amount of candy is 20, and there is 7 green candy, so we got 7/20. Then we multiplied 20 and 7 by 5, so we got 100 and 35, so we got 35/100, which is 35%

Find the slope of the line that passes through (2, 14) and (10, 5).

Answers

Answer:

m=-12/5

Step-by-step explanation:

yes

our school's girls volleyball team has $14$ players, including a set of $3$ triplets: alicia, amanda, and anna. in how many ways can we choose $6$ starters with no restrictions? (the triplets are treated as distinguishable.)

Answers

There are 990 ways to select 6 starters from a possible 14 using precisely two of the three triplets.

= C(3,2) = 3! / ( 2! x 1! ) = 3

To select the final 4 starters out of the 11 players ,

= C(11,4) = 11! / (4!7!)

= 330

There are a total of 6 ways to select starters.

= 3*330 = 990

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method.

The number of combinations can be counted in simpler situations. Combination is the taking together of n items, k at a time, without repetition.

The terms k-selection or k-combination with repetition are frequently used to describe combinations where repetition is permitted.

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6 = a/4 + 2
Solve For Unknown variable

Answers

Answer:

a = 16

Step-by-step explanation:

6 = [tex]\frac{a}{4}[/tex] + 2 ( subtract 2 from both sides )

4 = [tex]\frac{a}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

4 × 4 = a , that is

a = 16

Consider the line y = 9x - 3.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Zero is the slope of a line parallel to this line.

-1/9 is the slope of a line perpendicular to this line.

What is slope?

According to linguists, the Middle English adverb aslope, which meaning "at an angle," is where the term slope is said to have originated. A steep hill or the ramp in a parking garage are examples of things that are at an angle or on a slope and may be described using the word's noun form.

The ratio of the vertical change between two places is referred to as the slope. A line's slope is another indicator of how steep it is. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

The line becomes: y = 9x - 3

line is in the Slope-Intercept form : y = mx + c

Now comparing this two and we get slope, (m) = 9

So, The line perpendicular will have slope (m') = -1/m

or, m' = -1/9

The line parallel to this line will have slope (m'') = 0

because here the two lines are parallel, so they have no slope.

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a)Find the value of 8^1/3
b)Find the value of 8^2/3
c)FInd the value of 16^3/4

Answers

a) The value of 8^1/3 is 2

b) The value of 8^2/3 is 4

c) The value of 16^3/4 is 8

How to determine the values of a, b, and c

Information given in the problem

a)   the value of 8^1/3

b)  the value of 8^2/3

c) the value of 16^3/4

This equation represents exponents in fraction form and the basics for the calculation is from

a^(b/c) =

[tex]\sqrt[c]{a}^{b}[/tex]

Rewriting the expression is done as below

8^1/3

=∛8

= 2

8^2/3

= ∛8²

= 2²

= 4

16^3/4

[tex]\sqrt[4]{16}^{3}[/tex]

= 2³

= 8

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What value for a in the system of equations below would yield no solutions for the system? Explain how you obtained your answer.

ax+12y=−6

2x−6y=4

a=

Answers

After solving the provided question, The value for a in the system of equations below would yield no solutions for the system is [tex]= > a = 18 - 20\frac{y}{x}[/tex]

A system of equations is what?

several equations at once, multiple equations In algebra, you must work together to solve two or more equations (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, there must be an equal number of equations and unknowns.

When there are two variables and you are given two pieces of information about how those variables are related, a system of equations is used. To address a number of typical problems, a system of equations can be employed.

[tex]3x-5y=15\\multiply with 6\\18x -30y = 90\\compare the equation with \\ax-10y=90\\then \\18x -30y = ax-10y\\ax = 18x + 10y -30y\\ax = 18x-20y\\a= (18x -20 y) / x\\[/tex]

[tex]= > a = 18 - 20\frac{y}{x}[/tex]

x≠o

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Daniela notices
a pattern in her scrapbook. The leaves on the first page
are green. The second page has yellow leaves. The third
page has green leaves. The next page has yellow
leaves. Is this a repeating or growing pattern

Answers

It is a Repeating pattern

Answer:

I think it's repeating pattern

A population of 50 foxes in a wildlife preserve doubles in size every 14 years. The function y = 50.2*, where x is the number of 14-year periods, models the population
growth. How many foxes will there be after 42 years?
After 42 years there will be foxes. (Type a whole number.)

Answers

Answer:

  400

Step-by-step explanation:

You want to know the number of foxes predicted after 42 years by y = 50·2^x, where x is measured in 14-year periods.

Periods

42 years is 42/14 = 3 14-year periods. Using x=3 in the equation, we predict ...

  y = 50·2^3 = 50·8 = 400

foxes.

After 42 years, there will be 400 foxes.

__

Additional comment

It is often convenient to use time measured in 1-year periods. In that case, the equation could be written ...

  y = 50·2^(t/14)

Then t/14 is the number of 14-year periods when t is in years.

Please answer this Question

Answers

Option (C) is the proper choice, both set A and B  

Describe a function.

It is described as a particular kind of relationship, and each value in the domain is associated to exactly one value in the range according to the function.

These are the ordered pairs:

Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) (3, 4)

Set B: (1, 4), (2, 3), (3, 2), (4, 1) (4, 1)

Set C: (2, 1), (3, 2), (2, 3), (1, 4) (1, 4)

Sets A and B are both functions since they both have sets of x values that are all distinct. Set C is not a function because it repeats the x value of 2, while also providing two distinct y values.

As a result, the function option (C) is the proper choice and the set C: (2, 1), (3, 2), (2, 3), and (1, 4) does not represent the function.

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An arithmetic sequence has a 2nd term of -2 and a 7th term of 18.
1. What is the 10th term in the sequence? 2. Write an explicit formula for the sequence.
3. Write a recursive formula for the sequence.
4. What is the sum of the first 10 terms?​

Answers

The arithmetic sequence has a 2nd term of -2 and a 7th term of 18 has the following answers.

What is arithmetic progression?

An progression or arithmetic sequence may be a sequence of numbers specified the difference between the consecutive terms is constant.

Main body:

General formula for arithmetic sequence

a + (n-1)d = aₙ

arithmetic sequence has a 2nd term of -2  , which means

a+d = -2    

a = -(d+2)      ---------(1)

7th term of 18 , which means

a+ 6d = 18

substituting value from equation 1,

-(d+2) +6d = 18

-d -2 +6d = 18

5d = 20

d = 5

using d= 5 in equation 1,

a = -(5+2)

a =-7

A) 10th term

=a +9d

= -7+9*5

= 38

B)  recursive formula for the sequence = aₙ+1=aₙ+d  .

Hence for the given sequence , it is

a₃ = a₂ +d

a₃ = -2+5

a₃ = 3

C) sum of first 10 terms

Sₙ =  n/2{2a+ (n-1)d}

S₁₀ = 5 {2*-7 + 9*5}

S₁₀ = 5[ -14 +45]

S₁₀ = 5*31

     = 105

Hence the sum of the first 10 terms is 105.\

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im not sure I'm very very bad at math ​

Answers

Answer:

Step-by-step explanation:

for the first car  374/17 = 22 m per second

for bus  414/23 = 18  m per second

so the car is moving faster

car is moving faster than (22-18)=4 m per second from the bus

Answer: Car: 22 meters per second, Bus: 18 meters per second. The bus travels faster at 4 meters per second.

Step-by-step explanation: First, you should write a proportional relationship for meters per second so the car would be 374/17 and the bus would be written as 414/23. This is so you can know that you divide 374 by 17 to get 18, and 374 by 17 to get 22. So, you had it backward, the bus is faster by 4 meters per second, I hope this helped, for me (a 7th grader) this was review math, so I hoped this helped you.

Rule: Start at ? Subtract 6 then multiply by 2 each time
? 22- 32- 52 ​

Answers

? = 17
17-6 is 11, and 11 multiplied by 2 is 22.
You can find this out by first dividing the number by 2 and adding 7

Step-by-step explanation:

let the number be x

So,

(x - 6) × 2 = 22

2x - 12 = 22

2x = 34

x = 17

Thus, the answer is 17

Hi pls help me and explain

Answers

The linear model representing the information is y = 600x + 1500.

To produce 12 solar heaters it cost $8,700.

The domain of the linear model is [1, 80].

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

10 solar heaters = $7500

20 solar heaters = $13,500

The linear model can be in the form of y = mx + c

m = (13,500 - 7500)/(20 - 10)

m = 6000/10

m = 600

Now,

(10, 7500) = (x, y)

7500 = 600 x 10 + c

c = 7500 - 6000

c = 1500

Now,

The linear model is y = 600x + 1500.

Where y is the cost of x solar heaters.

Now,

x = 12,

y = 600 x 12 + 1500

y = 7200 + 1500

y = 8700

Now,

y ≤ 50,000

We see that,

x = 81

y = 600 x 81 + 1500 = 48600 + 1500 = 50,100

x = 80

y = 600 x 80 + 1500 = 48000 + 1500 = 49,500

The domain is from x = 1 to x = 80.

Thus,

The linear model is y = 600x + 1500.

$8,700 is the cost to produce 12 solar heaters.

The domain is [1, 80].

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What is meant by the trend component of a time series? How is a linear trend different from a nonlinear trend? CO What is meant by the trend component of a time series? ary OA. The trend component represents changes in time-series data that are unpredictable and cannot be associated with a seasonal, cyclical, or random component. OB. The trend component is the long-term increase or decrease in a variable being measured over time. OC. The trend component is a wavelike pattern that is repeated throughout a time series and has a recurrence period of at most one year. D. The trend component is a wavelike pattern within the time series that repeats itself throughout the time series and has a recurrence period of more than one year.

Answers

Answer: A trend line is a line on a scatter plot, drawn near points, that approximates the association between the data sets.

Step-by-step explanation:

2. The linear trend in precipitation is the dominant trend type. The nonlinear trends occur much less frequently and more widely scattered over the globe. However, the nonlinear trends are credible patterns of change in precipitation.

3. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out. This component can be viewed as those variations with a period longer than a chosen threshold

4. The trend component represents changes in time-series data that are unpredictable and cannot be associated with a seasonal, cyclical, or random component. OB. The trend component is the long-term increase or decrease in a variable being measured over time.

5. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out.

6. The trend component is the long-term increase or decrease in a variable being measured over time.

9. What is slope of a line that is perpendicular to the line y = -3x + 2?

Answers

Answer: [tex]\displaystyle \frac{-1}{3}[/tex]

Step-by-step explanation:

       The slope of a perpendicular line will always be the reciprocal of the original line's slope. Here, the reciprocal of -3 is [tex]\frac{-1}{3}[/tex].

Judi Imhoff's previous balance was $717.52. She received $4.36 in interest and had $125.00 and $276.95 in deposits and $90.00 in withdrawals. What is her new balance?

Answers

After checking Judi Imhoff's account statement her new balance is $1003.83

What is an account statement?

A statement of accounts is a document that lists all the transactions you have with a certain client during a specific time period. In order to inform their clients of the amount they owe for purchases made during that time period on credit, company owners typically issue statements of accounts to their clients. The manual explains the statement of accounts' contents and demonstrates how to file it for clients.

Your bank may send you a monthly or annual statement if you have a savings account.

account statement for the quarter. All deposits are reflected on the account statement,

withdrawals, as well as interest that is added to your account.

The new balance = Previous Balance + Interest + Deposits - Withdrawals

The new balance =  $717.52  + $4.36 + ($125.00 + $276.95) - $90.00

So, the new balance of Judi Imhoff is  $1003.83

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What’s the value of x?

Answers

For the given similar triangle the value of x will be 9 inches.

What is the similarity law for triangles?

It is required by law to demonstrate that two triangles are identical in shape, although size is not a requirement. The comparable angles are congruent and the ratio of the respective sides is in the same proportions.

It is given that, the unknown side is x, from the observation it is obtained that the two triangles are similar

The derived formula is, because the sides of the similar triangles are all equal in ratio.

8/6=12/x

x=12×6 / 8

x=9 inches

Thus, for the given similar triangle the value of x will be 9 inches.

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Select the correct answer.
Solve the quadratic equation given below. (9x+13)^2=49

X= -2/3; -20/9
X= 2/3; 20/9
X= 2/3; -20/9
X= -2/3; 20/9

Answers

Answer:

x = -2/3; -20/9 so A

Step-by-step explanation:

im 100% percent sure:)

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.

3,12,48,...
This is __ sequence and the ____ is equal to.
| |
Arthmatic, geomatric commom ratio, commom difference

Answers

Answer:

3

12

12

48

48

192

192

768

768

I hope I helped you

i need help past due

Answers

Answer:

$3.45

Step-by-step explanation:

To find the unit price, there must be one gallon of gas

24.82 : 7.2

?  : 1

Cross multiply: 24.85 = 7.2(?)

divide: 3.45138889 = ?

Round: 3.45

For the function f(x) = -2x² + 12, determine f(4).
A) -20
B) 48
C) 76
D) -52

Answers

Answer: A.-20

Step-by-step explanation:

f(4)=-2(4)^2+12

f(4)=-2(16)+12

f(4)=-32+12

f(4)=-20

What is an equation of the line that passes through the point (-5,-3) and is parallel to the line 3x+5y=15

Answers

Answer: [tex]y+3=-\frac{3}{5}(x+5)[/tex]

Step-by-step explanation:

The equation of the given line can be rearranged as follows:

[tex]3x+5y=15\\\\5y=-3x+15\\\\y=-\frac{3}{5}x+3[/tex]

Parallel lines have the same slope, so the slope of the line we need to find is -3/5.

Substituting into point-slope form, the equation of the line is [tex]y+3=-\frac{3}{5}(x+5)[/tex].

what does side b equal?

Answers

Answer: 8.6

same side s C and B

Answer: 7.2

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem to solve for side b.

Pythagorean theorem: a²+b²=c²

Since the side length opposite the right angle is the hypotenuse we plug 11.2 in for C

(8.6)² + b²=(11.2)²

73.96 + b² = 125.44

b²=51.48

b = 7.17495644586

b=7.2

In four middle schools, the teacher to student ratio is equivalent. How many teachers and students are at each school? Enter the correct answers in the boxes in the table. ​

Answers

As the teacher-to-student ratio is equivalent in all schools, the number of students in school B is 506, the number of teachers in school C is 25 and  the number of students in school D is 792 respectively.

What are ratio and proportion?

An equation known as proportion shows that the two ratios presented are equal to one another. A ratio is the comparative or condensed form of two quantities of the same type. The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. 

Given, the teacher-to-student ratio is equivalent for all schools.

For school A, ratio of teacher-to-student = 15/330 = 1:22

Then, for school B, the number of students = 23*22 = 506

For school C, the number of teachers = 550/22 = 25

For school D, the number of students = 36*22 = 792

Hence, these are the required number of students and teachers for the respective schools.

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You are considering taking some courses at your local community college on a part-time basis for the upcoming school year. For a student who carries fewer than twelve credits (the full-time minimum), the tuition is $155 for each credit hour taken. All students, part-time or full-time, must pay a $20 parking fee for the semester. This fixed fee is added directly to your tuition and is included in your total bill. Write an equation to determine the total bill , t, for a student carrying fewer than twelve credit hours. Use n to represent the number of hours taken for the semester. Then, determine the total bill if you take nine credit hours. A. T + 20 = 155 n; $1395 b. T = 155 n + 20; $1395 c. T = 155 n + 20; $1415 d. T + 20 = 155 n; $1415.

Answers

The total bill if the student takes nine credit hours at the community college is T = $1415.

What are linear equations?

One or more variables can be present in a linear equation, but their maximal possible power is only one. The graph of a linear equation will thus always be a straight line. Y = mx + b, where m denotes the line's slope and b its y-intercept, or point of intersection with the y-axis, is how linear equations are expressed. Many real-world situations, such as the connection between two variables or the distance travelled at a constant pace, may be modelled using linear equations. In order to obtain the value of the variable(s) necessary to make the equation true, one must use algebraic methods.

How to solve?

The total bill, t, for a student carrying fewer than twelve credit hours is given by,

T = 155 n + 20, where n represents the hours taken for semester.

The total bill if the student takes nine credit hours is T = 155(9) + 20 = $1415.

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please help me i need it before tomorrow if possible. i need all 4 answered

Answers

The answer to this Question based on Thales Theorem is x = 8

What is Thales Theorem?

It says that when we join the mid points of two sides of a triangle the line is parallel to third side of triangle then the length of this joined line is half of length of third side

Here in Question given figure is like trapezium but we can extend it to make a triangle then by thales theorem we need to apply on other two sides hence joined line is parallel to third lines hence will be half of it

Solution:

1/2(x) = 2x - 12

x = 2(2x-12)

x = 4x - 24

24 = 3x

x = 8

Hence required value of x is 8

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What is the next term in the sequence −10,−17,−24,−31,

Answers

Answer:

-38

Step-by-step explanation:

The sequence is decreasing by 7 everytime

-10 to -17 decrease of 7

-17 to -24 decrease of 7

-24 to -31 decrease of 7

The next term in the sequence is -38. This sequence is formed by subtracting 7 from the previous term each time. The pattern of the sequence is:

-10, -17, -24, -31, -38, ...

Each term is obtained by subtracting 7 from the previous one.

Ann Dyslecki is buying a sports car. She financed $ 5590 at her
bank and agreed to repay it in four years. Her monthly payment
was $ 149,60. Find the total amount to be repaid and the finance
charge.

Answers

Answer:

5590-149,60

Step-by-step explanation:

sum completed

Solve the system below by the method of your choice. Show all work.

−4x+4y=−8

4x−6y=16

Answers

Isolate one of the two variables in one of the equations.

How  to solve the system?Substitute the expression that is equal to the isolated variable from Step 1 into the other equation.Determine which variable will be eliminated. ...Combine the equations using addition. ...Solve the new equation for the remaining variable.Substitute the value for that variable into one of the original equations and solve.Solve the linear equation for the remaining variable.The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

(- 2, - 4 )

- 4x + 4y = - 8 → (1)

4x - 6y = 16 → (2)

adding (1) and (2) term by term will eliminate x

0 - 2y = 8

- 2y = 8 ( divide both sides by - 2 )

y = - 4

substitute y = - 4 into either of the 2 equations and solve for x

substituting into (2)

4x - 6(- 4) = 16

4x + 24 = 16 ( subtract 24 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

solution is (- 2, - 4 )

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