The first term of a geometric sequence is 6 and the common ratio is -8. Find the 6th term.

Answers

Answer 1

9514 1404 393

Answer:

  a6 = -196,608

Step-by-step explanation:

The general term of a geometric sequence with first term a1 and common ratio r is given by ...

  an = a1·r^(n-1)

For a1 = 6, r = -8, and n = 6, we find the 6th term to be ...

  a6 = 6·(-8)^(6-1)

  a6 = -196,608


Related Questions

The double number line shows that 5 kilograms of avocados cost $9 dollar .



Based on the ratio shown in the double number line, what is the cost for 1 kilogram of avocados?

Answers

Answer:

hii hope it helps

Step-by-step explanation:

sorry for these pics

Slope of a line that passes through 19,3 and 4,3

Answers

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

3-3/4-19

0/-15

So its 0

How to put 1/25 as fraction simplified

Answers

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

Learn more about fractions here:

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An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?

Answers

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct? *

Answers

Answer:

Kayla is correct

Step-by-step explanation:

For a vertical line, the x-value is the same

This means there is no change in the x value

A slope is calculated by dividing by the change in x value

since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined

This means that Kayla is correct

A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?


1/9

1/3

2/21

2/3

Answers

2/21 is the answer to the question

The probability of picking a chocolate chip cookie is 1/3.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.

N represents no. of.

So, N(S) = 5 + 4 + 6 = 15.

N(CC) = 5, N(SR) = 4 and N(OR) = 6.

∴  The probability of picking a chocolate chip cookie is = N(CC)/N(S).

= 5/15.

= 1/3.

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A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet. What is the volume of the pool?

Answers

Answer:

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

Answer:

1,000

Step-by-step explanation:

The number of pages in an Algebra 1 book is 99 less than the number of pages in a gemomerty book. Write and solve an equation to find the number n of pages in the geomerty book

Answers

Answer:

n = a + 99

Step-by-step explanation:

Given that :

a = number of pages in algebra book 1

n = number of pages in geometry book

a = n - 99

The number, n of pages in a geometry book is ;

Pages in algebra book = (pages in geometry book - 99)

a = n - 99

a + 99 = n - 99 + 99

a + 99 = n

write a quadratic polynomial, sum of whose zeroes is 2 and product is -8​

Answers

Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8

What is the solution to this equation?
-0.20% – 20) = 44-x
A x= -90
B. X=-50
C. x = 50
D. X=90

Answers

Answer:

C. x = 50

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The answer to that is x=-50

How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1

Answers

Answer:

Steps below

Step-by-step explanation:

(3/x²)+ 2/x =1   (x ≠ 0)

(3/x²) + 2x/x² = 1

(3 + 2x) / x² = 1

3 + 2x = x²

x² - 2x - 3 = 0

(x + 1) (x - 3) =0

x = -1 or x = 3

kristen is building a pattern using triangles, the table shows the number of triangles in the first 4 terms of that pattern. which formula describes the number of triangles in the nth term of the pattern.

A. n=t+2
B.n=t+3
C. n=2t-1
D. n=2t + 3​

Answers

Answer:

its C. im doing test to i saw different page

Step-by-step explanation:

diff pge

QUESTION 23
Tamara has $50 to spend on craft supplies. She spends $30
plus a 5% tax at the store. How much change should she
receive?

Answers

Answer:

the answer is $18.5

Step-by-step explanation:

30 + tax is $31.50

Answer:

$18.50

Step-by-step explanation:

Before Tax Price: $30

Sales Tax Rate: 5%

After Tax Price: $18.50

How can you find how much the sales tax is? Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply:

[cost of the item] x [percentage as a decimal] = [sales tax]

Step 1 : $30 x .05 (5%) = $1.50 Step 2 : $30 + $1.50 = $31.50Step 3 : $50 - $31.50 = $18.50  

find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units

Answers

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]

   = [tex]\sqrt{8^2+(y+3)^2}[/tex]

Given distance between points is 10, then

[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

John works for a company that cuts down dead trees for the city. He needs to determine the height of the tree to ensure safety. He chooses a point 10 m from the base of the tree. From this point, the angle of elevation to the top of the tree is 46°. Determine the height of the tree to the nearest tenth of a meter.

Answers

Answer:

10.4m

Step-by-step explanation:

We solve the above question using the Trigonometric function of Tangent.

The formula is given as:

tan θ = Opposite/Adjacent

θ = Angle of Elevation = 46°

Opposite = Height of the tree = x

Adjacent = Distance from the base of the tree = 10m

Hence:

tan 46 = x/10

Cross Multiply

x = tan 46 × 10

x = 10.355303138m

Approximately to the nearest tenth = 10.4m

if 12% = £54
what does 100% =

Brainliest to first correct answer :)

Answers

Answer:

£450

Step-by-step explanation:

12%=£54

100%=?

we will criss cross it then 12%×?=100%×£54÷12

=£450

Pls help me It would help alot

Answers

Answer: A=4πr2

I really hope this helped!!

the surface area is approximately 1017.88 cm^2

There are 54 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 2/3 of the remaining houses were sold. How many houses are left to be sold?

Answers

Answer:

Step-by-step explanation:

QUESTION 8
Some seventh-, and eighth-grade students.spend time at
the elementary school tutoring students. Of the students
who tutor, 21 are seventh-graders and 18 are
eighth-graders. What percent of the tutors are
seventh-graders?
A) 54%
B) 46%
C) 52%
D) 21%

Answers

54 percent

You add the two together to get 39, then divide 21 by 39. This gives you 0.538, which turns into 54%

ASAP! Please do 1-5 and show work if possible!

Answers

Answer :

(1) The radius of a circle is 1.5 m.

(2) The diameter of a circle is 28 ft.

(3) The radius of a circle is 10 in.

(4) The circumference of circle is 47.14 m.

(5) The circumference of circle is 44 yd.

Step-by-step explanation :

Part 1:

Given: d = 3 m

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]

The radius of a circle is 1.5 m.

Part 2:

Given: r = 14 ft

Now we have to determine the diameter of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Diameter of a circle = [tex]Radius\times 2[/tex]

Diameter of a circle = [tex]14ft\times 2=28ft[/tex]

The diameter of a circle is 28 ft.

Part 3:

Given: d = 20 in

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]

The radius of a circle is 10 in.

Part 4:

Given: d = 15 m

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

where,

C = circumference

d = diameter

So,

[tex]C=\frac{22}{7}\times 15m[/tex]

[tex]C=47.14m[/tex]

The circumference of circle is 47.14 m.

Part 5:

Given: r = 7 yd

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

or we can write,

[tex]C=\pi (2\times r)[/tex]

where,

C = circumference

d = diameter

r = radius

So,

[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]

[tex]C=44yd[/tex]

The circumference of circle is 44 yd.

target sells sweaters and sneakers in the ratio 1:3.The store sold 9 sweaters yesterday.How many sneakers were sold?

Answers

Answer: 27

Step-by-step explanation: since the ratio is 1:3 u mutiply

1 by 9 which equals nine and then u multiply 3 by 9 and u get 27. This should be right I am sorry if it isn't.

I need help with my math!

The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 50 students in the chorus, how many are girls, and how many are boys? ??50 The ratio of girls to boys is too. The number of girls in the chorus is. The number of boys in the chorus is.

Answers

Answer:

there are a total of 20 boys and 30 girls in the choir of 50 students

Step-by-step explanation:

Scale the ratio 2:3. so that the numbers on either side sum to 50 . 2+3=5 , and 50÷5=10 , so we scale our ratio by a factor of 10 . So there are a total of 20 boys and 30 girls in the choir of 50 students

On Tuesday at lunch time, it was 29°C. By sunset , the temperature had dropped to 16°C

Answers

Answer:

whats the question?

Step-by-step explanation:

Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he
babysits for 7 hours. You may solve with any method but you must show your work.

Answers

First you do $33.00/4 to get $8.25. Take the 8.25 and multiply it by 7 to get $57.75

Step-by-step explanation:

First, you want to find the unit rate, or how much Han earns per hour

You can do this by setting up an equation

x= amount earned per hour

4x= 33          Initial equation

4x/4 = 33/4   Isolating the variable

x = 33/4 = 8 1/4 = 8.25    The unit rate

Now you want to set up a new equation to find out how much he makes for 7 hours

x= amount earned per hour

y = total amount earned

y = 7x    Initial equation

y = 7 ( 8.25)   Substitution

y = 57.75  The answer

Han earns $57.75 for every 7 hours

Checking the answer....

y = 7x

57.75 = 7x    Substitute y instead

57.75/7 = 7x/7

8.25 = x

Your answer should be correct

Hope this helps!!!

Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.

Answers

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

98 = 3y - 4 whats tha answer

Answers

Answer:

y = 34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

you would add 4 to both sides and get

102=3y

then you would divide by three and get

34=y

SIMPLE INTEREST
Interest = ?
Principal = $1450
Interest rate = 9%
Time = 5 years

Answers

652.50

Step-by-step explanation:

1450 x .09 x 5 = 652.50

Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.

Answers

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

n = q + dn = 10q +d = 10

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

n = q + d

Since, Gabby has 20 coins in her pocket.

n + q + d = 20

Therefore 2n = 20 from n = q + d

n = 10

Read more on system of equations:

https://brainly.com/question/20978003

help plz I really need to finish​

Answers

Answer:

[tex]26x^6y^4[/tex]

Step-by-step explanation:

the volume is like

[tex]V = length\cdot width\cdot depth[/tex]

so we have

[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]

If you can explain and show me the answers that would be great!​

Answers

Answer:

1) B=-12

2) 189.69

Step-by-step explanation:

Explanation 1: To find B, we have to replace the given points in the equation, that is , x=2 and y=1

[tex]3x+By+6=0\\3.2+B.1+6=0[/tex]

Then we solve for B.

[tex]6+B+6=0\\B+12=0\\B=-12\\[/tex]

Hence , B=-12

explanation 2: you have the following equation for the number of liters 3% milk:

[tex]0.03+0.1(200)-x=0.05(200)[/tex]

Solve the previous equation for x:

[tex]0.03x+20-x=10[/tex]

[tex]0.03-x=10-20\\-0.97x=-10\\x=10.31[/tex]

Hence , there are 10.31 liters of 3% milk  

Add the numbers of liters 10% butterfat is :

[tex]200-10.31=189.69 liters[/tex]

PLEASE MARK ME AS BRAINLIEST

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