Find the 13th term in the following
arithmetic sequence :
2, 10, 18, 26, ...

Answer:

1.a 519.615

1.b 173.21

2. It would take approximately 2.1 minutes

Step-by-step explanation:

If the population triples every hour then after one hour the population must be:

population(0) = 100

population(1) = 100*3 = population(0)*3

After two hours:

population(2) = population(1)*3 = population(0)*3*3 = population(0)*3²

After three hours:

population(3) = population(2)*3 = population(0)*3²*3 = population(0)*3³

Therefore the equation that will model the growth of the population is:

population(n) = 100*3^n

1. a.

We first need to convert the time from minutes to hours, to do that we must divide by 60. We have:

time = 90/60 = 1.5

We then apply this value in the "n" from the equation above:

population(1.5) = 100*3^(1.5) = 519.615

1.b.

We have to follow the same steps as before:

time = 30/60 = 0.5

population(0.5) = 100*3^(0.5) = 173.21

2.

We now use the same equation as before, but we want to solve for n isntead of "population". We have:

1000 = 100*(3^n)

100*(3^n) = 1000

3^n = 1000/100

3^n = 10

ln(3^n) = ln(10)

n*ln(3) = ln(10)

n = ln(10)/ln(3) = 2.095

It would take approximately 2.1 minutes

Answer:

22/50?

Step-by-step explanation:

Answer:

22/50

Step-by-step explanation:

This is an experimental probability. This means that it is based on the experiment given to us. We know that out of the 50 times that she has pulled a tile out of the bag, she has gotten orange 22 of those times. Based on those results we can say that the probability of her choosing an orange again is 22/50. Or 44%.

Answer: Q = 124 and P = 29

Step-by-step explanation:

Triangles always = 180 degrees so do straight lines.

Answer:

P=29

Step-by-step explanation:

I took the diagnostic

If this helps please rate and give a thanks:)

Add me as a friend!

Good Luck!!

Answer:

-3<3

Step-by-step explanation:

youre welcome

Answer:

45

Step-by-step explanation:

x² + 2x + y² + 4y = 20

We complete the square in both x and y.  For each we  add half the linear coefficient, squared.  So (2/2)²=1 for x and (4/2)²=4 for y.  We add them to both sides to keep the equation the same.

x² + 2x  + 1   + y² + 4y + 4  = 20 + 1 + 4

Now the left side is the sum of squares and the right side is the squared radius.

(x + 1)² + (y + 2)² = 5²

Standard form is (x-p)² + (y-q)² = r² for center (p,q) and radius r.  Note the minus signs.

We read off the answer:

Answer: Center (-1, -2), radius 5.

Answer:

[tex]30cm^3[/tex]

Step-by-step explanation:

the volume of a cylinder is given by:

[tex]v_{cylinder}=\pi r^2 h[/tex]

and the volume of a cone is given by:

[tex]v_{cone}=\frac{\pi r^2 h}{3}[/tex]

since both have the same height and radius, we can solve each equation for [tex]r^2h[/tex] (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

[tex]r^2h=\frac{v_{cylinder}}{\pi}[/tex]

and from the cone's volume formula:

[tex]r^2h=\frac{3 v_{cone}}{\pi}[/tex]

matching the two previous expressions:

[tex]\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}[/tex]

we solve for the volume of a cone [tex]v_{cone}[/tex]:

[tex]v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}[/tex]

substituting the value of the cylinder's volume [tex]v_{cylinder}=90cm^3[/tex]

[tex]v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3[/tex]

Answer:

volume of the cone = 30 cm³

Step-by-step explanation:

first write both the formula for  finding the volume a cone and a cylinder

volume of a cone = [tex]\frac{1}{3}[/tex] πr² h

where r is the radius of the cone and h is the height of the cone

volume of a cylinder = πr²h

where r is the radius of the cylinder  and h is the height of a cylinder

since the cone and the cylinder has the same height and they are congruent which implies they have the same radius, then

volume of  a cone =   [tex]\frac{1}{3}[/tex] πr² h

                               = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

   from the question given, volume of the cylinder = 90 cm³

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

                              =[tex]\frac{1}{3}[/tex] × 90

                               = 30 cm³

Therefore, volume of the cone = 30 cm³

It will take about 3.75 hours to complete.

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

Answer:

45

Step-by-step explanation:

y

Answer:

[tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Step-by-step explanation:

The given expression is

[tex]y^{-4}\cdot y^3[/tex]

We have to simplify the above expression. in form of [tex]y^n[/tex].

Using property of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

After addition of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-1}[/tex]

Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].

The function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.

"Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same".

For the given situation,

Principle, P = $200

Rate of interest, R = 7% = 0.07

Number of years from 1980 to 2016, N = 36

The total amount in 2016 can be modeled as the equation,

[tex]A=P(NR+1)[/tex]

⇒ [tex]A = 200[(36)(0.07)+1][/tex]

⇒ [tex]A=704[/tex]

Hence we can conclude that the function to represent this situation is     A = P( NR+1 ) and the amount in 2016 is $704.

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Answer:

77

Step-by-step explanation:

the formula is base times height. 7 is the height, add 8 + 3 to get 11 so there's only 1 base. multiplying the 7 and 11 to get 77

Answer:

Step-by-step explanation:

No.  y = - (x + 2) + 4 is not even a quadratic.

If you want a quadratic you must indicate squaring:  y = - (x + 2)^2 + 4.

This IS in vertex form; the vertex is at (-2, 4).

Joe's Painting: 20x + 100 = y

Steve's Painting: 15x + 120 = y

x = hours worked

y = total income

We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:

20x + 100 = 15x + 120

First, we have to move the 100 by subtracting it from both sides.

20x = 15x + 120 - (100)

20x = 15x + 20

Then, we need to move the 15x by subtracting it from both sides.

20 - (15x) = 20

5x = 20

Lastly, we need to divide 5 from both sides.

5x = 20/5

x = 4

Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.

Answer:10x^2+11xy-6y^2

Step-by-step explanation:

( 2 x + 3 y ) ( 5 x − 2 y )  = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )

= 10 x 2 − 4 x y + 15 x y − 6y 2

= 10 x 2 + 11 x y -6 y 2 .

Answer:

Step-by-step explanation:

∠A + ∠B = 180    {supplementary angles}

8x - 25 + 7x - 5 = 180    {bring the like terms together}

8x + 7x - 25 - 5 = 180   {add the like terms}

15x - 30 = 180    {add 30 to both the side}

15x = 180 +30

15x = 210          {divide both sides by 15}

15x/15 = 210/15

x = 14

∠B = 7x - 5 = 7*14 - 5

      = 98 - 5

 ∠B = 93°

Answer:

Step-by-step explanation:

27

Answer:

A) y= 1/2 sin(x) -2

Step-by-step explanation:

edge 2020 this is the answer, i just took the quiz

The function shown by the graph is a sine function give. as: y = one-half sine (x) minus 2.

The graph of a sine function has and up-down curve that repeats every 2π radians, or 360°.

The graph starts at 0, heads up to 1 by π/2 radians or 90° and then heads down to −1.

The given graph of the function crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.

Therefore, the function shown by the graph is the sine function; y = one-half sine (x) minus 2.

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Answer:

(6000)(0.03)(5)=$900

(1500)(0.0425)(4)=$255

(580)(0.02)(6)=$69.60

(1200)(0.039)(2.5)=$117

The answer is [tex]\boxed{7},[/tex] where [tex]a=5[/tex] and [tex]b=2.[/tex]

Solution sketch:

Apply the Pythagorean theorem to find [tex]EC[/tex] and [tex]AE,[/tex] which you then use to find [tex]AD[/tex] and [tex]BC.[/tex] Apply Heron's formula to [tex]\triangle ABC[/tex] to find that its area is 10, and then use [tex][ABC]=\frac{(AB)(CF)}{2}[/tex] (base times height over 2) to finish by solving for [tex]CF.[/tex].

Answer:

$5.65

Step-by-step explanation:

1.29 x 3 + 0.89 x 2= $5.65

:3

Answer:

145/5

Step-by-step explanation:

5 to a student and 145 to everyone

145/5=29

29 is your answer

Hope this Helps

There are 29 students in the class.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Tasha hands out 5 note cards to each student in the class.

And, She hands out all of the 145 note cards contained in the package.

Here, 145 note cards contained in the package.

And, Tasha hands out 5 note cards to each student in the class.

Hence, Number of students = 145 / 5

                                            = 29

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Answer:

Look at the attachment

Answer:

I might be wrong feel free to correct

A:

x+6

B:

5-y

C:

8+N

D:

7*X

Answer:

It's the first one

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

x=y

they are the same numbers

Answer:

4 hours.

Step-by-step explanation:

If the first guy is driving at 60 km, in 2 hours he is 120 km away. The second guy, leave two hours after. He will drive and in 2 hours he is 180 km. now if the second car keeps going then

120+ 60 + 60 +60 + 60 = 360

180 + 90 + 90 = 360.

So, the two hours for the guy going at 90 km and another 2 hours is 4 hours, so it will take 4 hours for the second driver to catch up.

Answer:

-write down all the expenses that the family incurs for the month

- categorize the expenses into those that could be avoided and those that are not avoidable (like mortgage payments)

- cut down on the expenses that have been identified as avoidable

- invest a small part of the money saved in something that could help the money increase in value

- translate the monthly budget into a yearly budget to achieve long term goals

Step-by-step explanation:

Budgeting is the process by which revenues and expenses are estimated over a period of time.

Budgets are are usually reviewed occasionally to meet current needs.

The aim of budgeting is to allocate sufficient funds to meet set goals and to reduce waste.

The process of budgeting will involve enumerating expenses, identifying avoidable expense, cutting down avoidable expense, investing funds saved, and translate monthly to yearly budget in order to achieve long term goals.

Answer:

1) write down all the expenses that the family incurs for the month

2) categorize the expenses into those that could be avoided and those that are not avoidable (like mortgage payments)

3) cut down on the expenses that have been identified as avoidable

4) invest a small part of the money saved in something that could help the money increase in value

5) translate the monthly budget into a yearly budget to achieve long term goals

Step-by-step explanation:

Just took the test, good luck everyone!

Answer:

1/3

Step-by-step explanation:

To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.

That means, dividing the numerator and denominator by the same integer.

For example, in this case, we divided both the numerator and denominator by 6.

6/6=1

18/6=3

So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.

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

Step-by-step explanation:

This is simple, just simplify the fraction.

[tex]\frac{6}{18}[/tex]

You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.

When you divide 6 by 6, you get 1.

When you divide 18 by 6, you get 3.

Therefore, your answer is [tex]\frac{1}{3}[/tex].

Hope this helps! :)

Answer:

P(6) = 5

Step-by-step explanation:

The dice is cast 30 times (k = 30)

So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning

5 x 1

5 x 2

5 x 3

5 x 4

5 x 5

5 x 6

____ +

30 casts in total (evenly distributed over all numbers of the dice)

P(6) = 1/6 * 30

P(6) = 5

Answer:

x=14 7/10 mix number form

x=14.7 decimal

x==147/10 exact

Step-by-step explanation: