Find the 9th term of the geometric sequence whose common ratio is 23 and whose first term is 3

Answers

Answer 1

Answer:

2.35 x 10^11

Step-by-step explanation:

The formula for finding the nth term in a geometric sequence is ar^n-1.

a = 3, r = 23, and n = 9:

3(23)^9-1 = 3(23)^8 = 2.35 x 10^11.


Related Questions

For which of the following compound inequalities is there no solution?
A. 3m - 12 > 30 and -6m >= 24
B. -6m >= 12 and m + 5 -18
C. -5m < 20 and 6m > -18
D. -4m - 10 <= -22 and 6m - 8 >= 22
>= is greater than or equal to
<= is less than or equal to

Answers

Answer:

A

Step-by-step explanation:

[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]

[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]

[tex]m>14 \wedge m\leq -4[/tex]

There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.

Note: the signal change because we divided by negative number.

Answer:

3m - 12 > 30 and -6m >= 24

Step-by-step explanation:

A. 3m - 12 > 30 and -6m >= 24

3m > 42  and m < = -4

m > 14 and m < = -4

This has no solution

B. -6m >= 12 and m + 5 -18

cannot solve since missing inequality

C. -5m < 20 and 6m > -18

m > -4   and m > -3

solution m > -3

D. -4m - 10 <= -22 and 6m - 8 >= 22

-4m < = -12  and 6m > = 30

m > = 3   and m > =5

m > = 5

1. Classify the following numbers as rational or irrational.
a) √45 b) √55 c) √196 d) √576 e) √27

Can u guys answer this question pls

Answers

Answer:

a) irrational

b) irrational

c) rational

d) rational

e) irrational

Note:

rational numbers are numbers that can be expressed in fractions.

irrational numbers are numbers that cannot be expressed in fractions i.e. they are never-ending-non-repeating decimals. examples √2, pi etc.

72.3 + (-39.1)


Rewrite the expression by breaking up each of the place values. In this case, the place values are tens, ones, and tenths.

Answers

Answer:

72.3 - 39.1 = 4tens - 7ones + 2tenth

Step-by-step explanation:

Give the expression 72.3 + (-39.1)

opening the parenthesis:

= 72.3 + (-39.1)

= 72.3 - 39.1

Breaking the decimal values into place values

72.3 = 7tens + 2units + 3tenth

72.3 = 7(10)+2(1)+3(1/10)

72.3 =70+2+0.3

Similarly for 39.1

39.1 = 3tens + 9units + 1tenth

39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)

72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1  = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

72.3 - 39.1 = 4tens - 7ones + 2tenth

Answer:

72.3 - 39.1 = 70 + 2 + 0.3 + (-30) +(-9) + (0.1)

Step-by-step explanation:

got it from edmentum

Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.

What was his mistake?
He had a different number of points to the left of the vertical line than to the right of the vertical line.

He had a different number of points above the line of best fit than below the line of best fit.

He didn’t approximate the center of the cluster located on the left side of the vertical line and of the cluster located on the right side of the vertical line.

He didn’t connect the centers of the clusters on the left side and right side of the vertical line to produce the line of best fit.

Answers

Answer:

He had a different number of points to the left of the vertical line than to the right of the vertical line.

Step-by-step explanation:

Divide-center method is the method which involves dividing the data on the graph into two equal parts and then fin the line of best fit. The center of each group is approximated and then a line is constructed between two centers which is estimated as line of best fit.

pls help will give you good rating

Answers

Answer:

-1

Step-by-step explanation:

Geraldo recently saw a newspaper ad for a new version of his laptop. The projected price is $400.00, and the laptop will be out on the market in about one year. Geraldo wants to purchase a new laptop but is wondering if he should wait a year. With 2.5% inflation, what amount would he pay to purchase a laptop today that is the same value as the one he saw in the ad?

Answers

Answer:

The answer would be $410.00.

Cheers,

Got an question worth 25 points, pls guys go and answer it. Find the question on my profile.

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The price he will have to pay now for laptop will be $390.

What is cost prize ?

The prize at which the good and services have been bought is known as cost prize.

here, the given information is :

The projected price is $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.

Now, if he pay to purchase a laptop today that is the same value as the one he saw in the ad then the cost price he will have to pay will be 2.5% of $400 less that is:

cost price of laptop = $400 - 2.5& x 400

cost price of laptop = 97.5% x $400

cost price of laptop = $390

Therefore, the price he will have to pay now for laptop will be $390.

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https://brainly.com/question/11027396

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i need help please asap 10 points!

Answers

Answer:

1) Real Number

2)Whole Number

3)Irrational Number

4)Rational Number

5)Integers

6)Natural Numbers

The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.

Answers

Answer: [tex]v = \sqrt{ar}[/tex]

This is the same as writing  v = sqrt(ar)

===========================================

Work Shown:

[tex]a = \frac{v^2}{r}\\\\ar = v^2\\\\v^2 = ar\\\\v = \sqrt{ar}\\\\[/tex]

I multiplied both sides by r to isolate the v^2 term, then I applied the square root to fully isolate v.

Question 1 of 18
The Waves and the Wolves are evenly matched baseball teams. When they
play, there is a 0.5 probability that the Waves will win. If they play 15 times,
what is the probability that the Waves will win 8 of the games? Round your
answer to the nearest tenth of a percent.
A. 9.2%
B. 4.2%
C. 15.3%
O D. 19.6%

Answers

I believe the answer is D 19.6 percent

Now considering the real world situation are there any restrictions or changes you need to make for your domain or range to fit the situation described above? If so adjust your graph to represent these changes. Considering the real situations above (Question D.)

Answers

Answer:

Ok, we have the function:

y = 2gb*x + 3gb

Where x is the number of streams that you did.

You know that for this function, in a math view, the domain and the range are the set of all real numbers.

(Actually the domain should be integers, but i guess that if you only stream a 0.3534 of a movie and then you quit it, here only consumed 0.3534*2gb, so we can allow x to be a real number)

But in a "real situation", there are some other restrictions:

Restrictions for x:

You can never have a negative value for x (because this has no sense)

So the first restriction is x ≥ 0.

Then, there should be a maximum value of x (you can not stream 4 million things in one month). Or A may be the number of streams that you can watch until you reach the monthly limit of Gbs.

Then the domain is:

0 ≤ x ≤ A.

Now, the minimum of the range is defined by the minimum in the domain:

When x = 0, we have:

y = 2*0 + 3gb

So the minimum value in the range is 3gb.

y ≥ 3gb

And then the maximum value of the range will be when x = A

y = 2Gb*A + 3Gb

3Gb ≤ y ≤ 2Gb*A + 3Gb

find the product of the first 3 positive integers and then the first 5 negative integers.

Answers

Answer:

6 and -120

Step-by-step explanation:

The first 3 positive integers are 1, 2 and 3 and their product is 6, the first 5 negative integers are -1, -2, -3, -4 and -5 and their product is -120.

1. Find the area of a triangle (PLEASE ONLY in CM²) 2. Seven squared equals seven times .........

Answers

Answer:

30 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 6 and h = 10 , thus

A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²

and 7² = 7 × 7 = 49

Answer:

1)        30 cm²

2) Seven squared equals seven times 7

Step-by-step explanation:

Base = 6 cm

Height = 10 cm

Area of triangle = [tex]\frac{1}{2}[/tex]*base * height

                          = [tex]\frac{1}{2} * 6 * 10[/tex]

                         = 3 * 10

                          = 30 cm²

2) 7² = 7 * 7

Write your answer in scientific notation.
(6.4 x 10^3 ) + (5.2 x 10^4 )

Answers

Answer:

5.84 x10.^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point) [tex]y=\frac{7}{x^{2} } +10[/tex]

Answers

Answer:

The functions are [tex]f(x) = 7\cdot x+10[/tex] and [tex]g(x) = \frac{1}{x^{2}}[/tex], respectively.

Step-by-step explanation:

Let suppose that [tex]g(x) = \frac{1}{x^{2}}[/tex], then [tex]f(g(x))[/tex] is:

[tex]f(g(x)) = 7\cdot \left(\frac{1}{x^{2}} \right) + 10[/tex]

[tex]f(g(x)) = 7\cdot g(x) + 10[/tex]

Thus,

[tex]f(x) = 7\cdot x + 10[/tex]

The functions are [tex]f(x) = 7\cdot x+10[/tex] and [tex]g(x) = \frac{1}{x^{2}}[/tex], respectively.

THIS IS THE HARDEST WORK ON EART SOMEONE HELP ME

Answers

Answer:

a) 2 h 45 min

b) 2 h 50 min

c) 2 h 20 min

d) 3 h 20 min

Step-by-step explanation:

Answer:

a) hours: 9 hours 15 minutes

minutes: 555

b) hours: 9hours 10 minutes

minutes: 550

c) hours: 2hours 20 minutes

minutes: 140

d) hours: 3 hours 20 minutes

minutes: 200

Step-by-step explanation:

zero of the zero polynomial is​

Answers

Answer: zero of the zero polynomial is additive identity where all the coefficients including constant are zero.

hope you understand. Pls make me in brainliest

Step-by-step explanation:

Answer:

A zero polynomial is a a constant polynomial, whose coefficients all equal 0. There are an infinite number of 0's in a zero polynomial. Any value of x can be a zero of a zero polynomial, which is why there are an infinite number of 0's in a zero polynomial.

Step-by-step explanation:

Translate this into an equation 4 times a number divided by eight is three

Answers

Answer:

Here is the equation 4x6/8=3

Answer:

4 x q ÷ 8 = 3

4 x 6 ÷ 8 = 3

(24) ÷ 8 = 3

A rectangular solid and a cube are of equal volume. If the rectangular solid is 20 centimeters long, 5 centimeters wide, and 10 centimeters high, what is the length, in centimeters, of an edge of the cube?

Answers

Answer:

10 centimeters.

Step-by-step explanation:

First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.

The volume of the first equals:

Volume = Length x Width x Height

While the volume of the cube is:

[tex]Volume = a^{3}[/tex] where a is the edge.

We are given the measures of the rectangular solid so we can calculate its volume:

[tex]Volume= (20)(5)(10)=1000[/tex] cubic cms.

Now, we know that  both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.

[tex]1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a[/tex]

Thus the length of an edge of the cube is 10 centimeters

If p(x)=5(x+1), what is the value of p(11)?​

Answers

Answer:

60

Step-by-step explanation:

Hello!

Since p(x) turns into p(11) we put 11 in for x

p(11) = 5(11 + 1)

Follow PEMDAS

p(11) = 5(12) = 60

The answer is 60

Hope this helps!

Answer:

5(11^2+1)+16

5(121+1)+16

5(122)+16

610+16

p(11)=626

The answer is 626

hoped i helped

Please rate me or leave a like

Determine the standard deviation of the data below. (1, 2, 3, 4, 5)

Answers

Answer:

[tex]\sqrt{2}[/tex] or 1.414

Step-by-step explanation:

1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3

2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)

3) Sum the values from Step 2. 10

4) Divide by the number of data points. 10/5= 2

5) Take the square root. [tex]\sqrt{2}[/tex]

Answer:

the answer square root of 2! just did the test and got it right :)

Step-by-step explanation:

Write an inequality to describe the relationship between −1 2/3 and −1/4.

Answers

Answer:

- 1/ 4 > -1 2/3

Step-by-step explanation:

-1 /4 is closer to zero than - 1 2/3.

Answer:

-14>-1 2/3

Step-by-step explanation:

Helppp please!! Thank you

Answers

Answer:

The answer is 4

The answer is 1.

Imagine you have a line that goes on infinitely called line n. Then there is a point outside of line n called point w.

The definition of a perpendicular line is a line that forms a 90° angle .

There is only one way you can have a line go through point w while also creating a 90° angle with line n

Show that the rational numbers -15/35 and 4/(-6) are not equal?

Answers

Answer:

-15÷35 is different from 4÷-6

Step-by-step explanation:

-15÷35=-3/7

4÷-6=-2/3

-3/7 is different from -2/3

Find the value of z. A. 141 B. 110 C. 80 D. 100

Answers

Answer:

B. 110

Step-by-step explanation:

z is supplemental to 70°, so the add up to 180°

z+70°=180°

z=180°-70°

z=110°

Option B is correct. The required value of z is 110 degrees

Supplementary angles are angles summing up to 180 degrees. According to the circle geometry, we can see that z and 70 degrees lie on the same line, this shows that both angles are supplementary.

Since supplementary angles sum up to 180degrees, hence;

[tex]z + 70 = 180\\[/tex]

Subtract 70 from both sides

[tex]z+70-70=180-70\\z=110^0[/tex]

Hence the value of z is 70 degrees

Learn more here: https://brainly.com/question/22261921

Find the next three terms in the geometric sequence.

Answers

Answer: D

Step-by-step explanation:

The common difference is  -2/3  so using the last term which is -8/27 multiply it by -2/3 to find the next terms.

[tex]-\frac{8}{27} * -\frac{2}{3}[/tex] = [tex]\frac{16}{81}[/tex]    

[tex]\frac{16}{81} * -\frac{2}{3} = -\frac{31}{243}[/tex]  

[tex]-\frac{32}{243} * -\frac{2}{3} = \frac{64}{729}[/tex]  

Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill?

Answers

Answer:600

Step-by-step explanation:

300,000/ 500 =600

Why Norway and Switzerland have high HDI value?

Answers

Step-by-step explanation:

because of the revenue it recieves from North sea oil and gas

Write each of the following in the simplest exponential form please help

Answers

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\2^{3}*2^{5} = 2^{3+5} =2^{8}\\\\\\3^{2}*3^{4}=3^{2+4} = 3^{6}\\\\\\a^{2}*a^{5}=a^{2+5}=a^{7}[/tex]

The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the other trinomial? 2x2 − x − 2 2x2 + x + 6 4x2 + 21x + 6 4x2 − 21x – 2

Answers

Answer:

[tex]4x^2-21x-2[/tex]

Step-by-step explanation:

Given that:

Difference of two trinomials is [tex]x^2 - 10x + 2[/tex]

One of the two trinomials is  [tex]3x^2 - 11x - 4[/tex]

To find:

The other trinomial = ?

Four options are:

[tex]2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2[/tex]

Solution:

Let the two trinomials be A and B.

Given A - B = [tex]x^2 - 10x + 2[/tex]

B = [tex]3x^2 - 11x - 4[/tex]

We have to find the other trinomial A.

A - B = [tex]x^2 - 10x + 2[/tex]

A - ([tex]3x^2 - 11x - 4[/tex]) = [tex]x^2 - 10x + 2[/tex]

[tex]\Rightarrow[/tex] A = [tex]x^2 - 10x + 2[/tex] + ([tex]3x^2 - 11x - 4[/tex])

[tex]\Rightarrow[/tex] A = [tex]4x^2-21x-2[/tex]

So, the correct answer is [tex]4x^2-21x-2[/tex].

Maggie drew lines of best fit for two scatter plots, as shown. Which statement best describes the placement of the lines Maggie drew?

Answers

Answer:

B. Only line B is a well-placed line of best fit.

Step-by-step explanation:

A good line of best fit is a line drawn to represent, as much as possible, all data points. As long as the data points are clustered along the line, and are not farther from each other, the line is a best fit for such data points.

Therefore, from the two lines drawn by Maggie, Line B seems to be the only well-placed line of best fit, as virtually all the data points are clustered along the line, compared to Line A. Line A only runs across 2 data points. The rest data points are scattered far apart from the line.

Therefore, the statement that best describes the placement of the line of best fit drawn by Maggie is: "B. Only line B is a well-placed line of best fit."

Answer:

Only line B

Step-by-step explanation:

Line A is too low on the graph to be best fit for the plot

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