13, 39, 117, ...
Find the 6th term.

Answers

Answer 1

The sixth term of the sequence 13, 39, 117, ... is 243

How to determine the value of tthe 6th term?

The definition of the function is given as

13, 39, 117, ...

The above definitions imply that we simply multiply 3 to the previous term to get the current term

using the above as a guide,

So, we have the following representation

an = 13(3)^(n - 1)

For the 6th term, we have

a(6) = 13(3)^(6 - 1)

Evaluate

a(6) = 243

a₃ = 9 + 3

Hence, the value of the 6th term is 243

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Related Questions

Can someone help me please

Answers

Answer:

[tex]6x^2+8x[/tex]

Step-by-step explanation:

Hey there!

In order to find the answer to this question, what you need to do is first find the area of the whole grey box as a whole (including the white box to)

The dimensions for this is 3x+2 and 4x

Now we know that to find area, we need to multiply length by height

So (3x+2)(4x) is what we have to solve to get the area

Now we simplify:

1. Distribute

2. [tex]12x^2+8x[/tex]

So now we know that the total area is [tex]12x^2+8x[/tex]

Now what we do is take out the area of the white box from the area of the grey box

Lets find the area of the white box:

l=3x   (l - length)

h=2x (h - height)

[tex]3x*2x=6x^2[/tex]

Now we have the area of both shapes

Since we have all the information we need to find the final answer, the following steps below will be using the information we found to find the final answer:

In order to find the final answer which is the area of the shaded region, we take out the area of the white region from the total area of the grey region (including the white region)

So now we can formulate this new equation:

[tex]12x^2+8x-6x^2= ta[/tex]

(ta= total area)

Now we simplify:

[tex]6x^2+8x\\[/tex] is going to be our final answer

So our final answer is [tex]6x^2+8x[/tex]

FLVS
Use the map to answer the question that follows.
Uranium
Silver
Oil
Lead & Zinc
Iron
World Mineral Resources
Diamond
Bauxite
Coal
Copper
Gold
How do the mineral resources in North America compare with the rest of the world?
Previous Question

Answers

Answer:

They have more resources and yeah they just do

Step-by-step explanation:

I have no clue why im just guessing

A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her
campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500
likely voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in
proportions of likely voters who would vote for this candidate was (-0.014, 0.064). What was the difference (pre-
debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate?
0.064 +-0.014)
= 0.025
0.064-(-0.014)
= 0.039
0 0.064 + (-0.014) = 0.050
0.064 - (-0.014) = 0.078
N

Answers

Considering the confidence interval given, the likely difference is given by:

[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]

What is the point estimate of a confidence interval?

Given an interval (a,b), the point estimate is the mean of the bounds, that is:

p = (a + b)/2.

In this problem, the interval is (-0.014, 0.064), hence the expression for the likely difference is given by:

[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]

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P(x) = x^2-4x+4 tại x =2

Answers

If [tex]P(x) = x^2-4x+4[/tex]  and x =2

 

   --> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]

Hope that helps!

Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).

b(n)=

Answers

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

How to determine the explicit formula?

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

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what is the value of the expression (-2) to the third power (-2) to the second power

Answers

Answer:

-2 to the third power is -8

-2 to the second power is -4

Step-by-step explanation:

-2 to the 3 power = -2× -2×-2

-2 to the second power is -2×-2

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 1/2

Step-by-step explanation:

14 inch - 5 1/2 inches = 8 1/2 inches

Aba's dog grew 8 1/2 inches.

Answer:

8.5 Inches, 2.78 pounds approximately

Step-by-step explanation:

14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78

I will mark brainliest for the first person to answer my question

Answers

Answer:

A. Line
<------------->

B. Angle


C. Line Segment
.___________.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

A 2-column table with 4 rows. the first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. the second column labeled temperature of air (degrees celsius) has entries 11.8, 8.5, 5.3, 2.0. as elevation increases, temperature decreases. at which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters

Answers

The sound will travel fastest at an elevation of 500m,

Elevation      Temperature

500m              11.8°C (MAXIMUM)

1000m               8.5°C

1500m               5.3°C

2000m               2.0°C

Why do sounds travel at a faster rate at high temperatures?

Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.

So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.

So, Sound will travel fastest at 500m elevation.

Therefore, At an elevation of 500m, the sound will travel fastest.

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Answer:

500 meters

Step-by-step explanation:

Find the cosine ratio for ∠K
a. 4/5
b. 5/3
c. 3/5
d. 4/3

Answers

Answer:

As Per Given Information

we have been asked to determine the consine ratio of ∠K .

[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]

with respect to ∠K .

substitute the given value & let's solve it for k .

[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]

Therefore,

Cosine ratio for ∠k is 3/5

Your answer is (c) 3/5

PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?

Answers

Answer:

17

Step-by-step explanation:

replace x with 5

3*5+2

next you use pemdas

you multiply before you add

3*5=15

15+2=17

She/he is right^up top.

Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. N^2 = 81

Answers

Answer:

N = 9

Step-by-step explanation:

N^2 = 81

NxN = 81

N = 9 because 81/9 = 9 and if you don't trust me use a calculator

What is the value of y in the solution to the system of equations?
1 x + 2 y = 1
2x – 3y = -30
0-8
0-3
03
O 8

Answers

Answer: y = 32/7

Step-by-step explanation:

Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.

Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →

-7y = -32 → y = 32/7. Hope this helps!

In 2009, the population of the US was approximately 306,370,370. The number of US live births in 2009 was 4,136,000. The birth rate in 2009, which takes into account changes in the population, fell to _____ births for every 1,000 people. (Fill in the blank. Round answer to one decimal place. Enter your answer in the form xx. X)

Answers

Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:

306,370,370 people - 4,136,000 births

1,000 people - x births

Applying cross multiplication:

306370370x = 1000 x 4136000

x = 1000 x 4136000/306370370

x = 13.5

The birth rate fell to 13.5 births for every 1000 people.

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In​ 2005, 12.2 out of every 50 employees at a company were women. If there are 48,744 total company​ employees, estimate the number of women.

Answers

Answer:

12000

Step-by-step explanation:

Using this information, you can make a ratio: 12.2/50 = x/48744

By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000

Answer:

11,894 women

Step-by-step explanation:

ratio of women to employees = 12.2 : 50

Let x = number of women employees to 48744 employees

12.2 : 50 = x : 48744

⇒ 12.2 / 50 = x / 48744

⇒ 0.244 = x / 48744

⇒ x = 0.244 · 48744

⇒ x = 11893.536

⇒ x = 11894 (nearest whole number)

Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees

What are the solution(s) for the quadratic equation?

Y=5x^2-9x+4

Show work

Answers

Let's see

[tex]\\ \rm\rightarrowtail 5x^2-9x+4=0[/tex]

[tex]\\ \rm\rightarrowtail 5x^2-5x-4x+4=0[/tex]

[tex]\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (5x-4)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=4/5,1[/tex]

in a mixed school, the ratio of boys to girls was 15:11. if there were 435 boys. What is the number of girls

Answers

Answer:

15:11 ,where 15 = 435

So, 11 = 435×11//15 = 29×11 = 319

Hence, No. of girls = 319

Answer:

319 girls

Step-by-step explanation:

Given

Ratio of boys : girls = 15 : 11No. of boys = 435

Solving

Let g be the number of girls15/11 = 435/gg = 435 x 11 / 15g = 29 x 11g = 319 girls

What is c in this ixl

Answers

Answer:

11

Step-by-step explanation:

the area of a triangle is bc/2

b = 8.8

c = ?

area = 48.4

48.4 = 8.8c/2

96.8 = 8.8c

c = 11

Please mark as brainliest!

11

Step-by-step explanation:

[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please

Which one is it? Im stumped.

Answers

Answer:

rational

Step-by-step explanation:

Hope this helps!

If not I am sorry

let's keep in mind that that same/same = 1 always, so then we can say

[tex]\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}[/tex]

well, "1" is a whole number

"1" is also an integer oddly enough

"1" can be written as a ration like 1/1, so is also rational.

Solve the System of Equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1

2x+y=5




b) x+2y = 4

x +y = 1



c) x-y=-5

x+y= 11


Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

b no. is the correct answer

What is the simplified form of the following expression? Assume x>0.
3
2X
/
4/bx
2X
4/24 x²
2X
4/244²
1bx4
412x2

Answers

Answer:

I think it's the fourth one.

Write the expression as a product.
25-(a + 7)^2

pls help

Answers

Answer:

-(12+a)(a+2)

Step-by-step explanation:

this is to ez

The expression as a product is (a+12)(-a-2)

What is an expression?

An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.

Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²

= 25 - (a²+49+14a)

= 25-a²-49-14a

= -a²-14a-24

Factorizing,

= -a²-12a-2a-24

= -a(a+12)-2(a+12)

= (a+12)(-a-2)

Hence, the expression as a product is (a+12)(-a-2)

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: Customers arrive at a shopping mart randomly at a rate of 7 per hour.

a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8

b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before

11. 45 am

Answers

Using the Poisson distribution, it is found that the probabilities are given by:

a) 0.1009 = 10.09%.

b) 0.8262 = 82.62%.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

Item a:

The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:

[tex]\mu = 1.5 \times 7 = 10.5[/tex]

The probability of exactly 8 customers is of P(X = 8), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]

Item b:

Probability of at least one patient in 15 minutes, hence:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

For 15 minutes, the mean is given by:

[tex]\mu = 0.25 \times 7 = 1.75[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]

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The large rectangle below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

40%

Step-by-step explanation:

2/5 is shaded

100 divided by 5 is 20

2x20=40

Large Rectangle is divided into 5 equal parts.
So, each part = 1/5
Part that is shaded = 2/5
Percentage = (2/5)*100
= 2* 20
= 40%

A certain bacterium measures 2. 7 × 10–2 mm. A colony contains 5. 3 × 103 of the bacteria. What is the total length of this colony if it forms a straight line?

Answers

The length of the colony is the product of 5. 3 × 10^3 and the length of the bacteria

The total length of the colony is 143.1 mm

How to determine the length of the colony?

The given parameters are:

Bacteria = 2.7 × 10^–2 mm.

Colony = 5. 3 × 10^3 of the bacteria

So, the length (L) of the colony is:

[tex]L = 5.3 * 10^3 * 2.7 * 10^{-2[/tex]

Rewrite as:

[tex]L = 5.3 * 2.7* 10^3 * 10^{-2[/tex]

Evaluate the products

[tex]L = 14.31* 10[/tex]

Evaluate the product

[tex]L = 143.1[/tex]

Hence, the total length of the colony is 143.1 mm

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When plotting an ordered pair, X comes before Y

Answers

Answer:

True

Step-by-step explanation:

I always remember it, over then up

BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

the answer is 253 square feet

Answer:

A = 253 sq ft

Step-by-step explanation:

see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.

The area and the perimeter of a square are equal. Find the side
length of the square.

please help me

Answers

Answer:

side length = 4

Step-by-step explanation:

Let x = the side length

Area is x•x, which is x^2.

Perimeter is x+x+x+x, which is 4x.

x^2 = 4x

x^2 - 4x = 0

Factor.

x(x-4) = 0

x = 0 or x = 4

Discard 0 as an answer as it is not useful.

x = 4.

Area = 4^2 = 16

Perimeter = 4(4)= 16

The side length is 4.

When buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____

Answers

Answer:

Price/Cost

Step-by-step explanation:

They may reduce the cost due to the lack of people buying that product, or vice versa.

Solve the initial value problem d y d x = 2 x 1 , y ( 0 ) = 2

Answers

Using separation of variables, it is found that the solution to the initial value problem is of y(x) = x² + 2.

What is separation of variables?

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is given by:

[tex]\frac{dy}{dx} = 2x[/tex]

Then, applying separation of variables:

[tex]dy = 2x dx[/tex]

[tex]\int dy = \int 2x dx[/tex]

[tex]y = x^2 + K[/tex]

Since y(0) = 2, we have that the constant of integration is K = 2, and the solution is:

y(x) = x² + 2.

More can be learned about separation of variables at https://brainly.com/question/14318343

The differential equation is y(x) = x² + 2.

What is the differential equation?

Differential Equations In Mathematics, a differential equation is an equation that contains one or more functions with their derivatives.

The given equation is;

[tex]\rm \dfrac{dy}{dx}=2x[/tex]

Applying the variable separation method;

[tex]\rm \dfrac{dy}{dx}=2x\\\\\int\limits \, dy=\int\limits\, 2x. dx\\\\y = 2 \times \dfrac{x^{1+1}}{1+1} +c\\\\y = 2 \times \dfrac{x^{2}}{2} +c\\\\y = x^2+c[/tex]

The value of c when y( 0 ) = 2 is c =2.

Hence, the required differential equation is y(x) = x² + 2.

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