The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.

Answers

Answer 1

Answer:

Step-by-step explanation:

t2 = a*r

t2 = 6

t5 = a*r^4

t5 = 162

162/6 = ar^4 / ar

r^3 = 27

r = 3

6 = a*3

2 = a

Sum = a(r^n - 1)

           =======

             r - 1

n = 5

a = 2

r = 3

Sum = 2(3^5 - 1)

           =======

               2

Sum = 242


Related Questions

27.81 + (-13.97) please help

Answers

Answer:

13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

 im always here to help...

heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour heather works on their hair style.as back to school special she offers to lower her price per hour by $5 what equation represents the total amount paid to heather,y,after x hours of hair styling​

Answers

Answer:

y = 5 + 7x

Step-by-step explanation:

So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.

So the total cost Y equal the constant 5 and 7x

Y = 5 + 7x

which graph best describes the slope of the line in the graph? a) positive b) negative c) zero d) undefined
pleassseeeee

Answers

Ok, so you didn't put any picture to go along with the question but hey, thats ok because I can still help you.

In order for a graph to be positive, it has to be leaning to the right.

In order for a graph to be negative, it has to be leaning to the left.

In order for a graph to be zero, it has to be horizontal.

In order for a graph to be undefined, it has to be completely vertical.

You can look at the picture below if you still need help.

P.S. The picture with the yellow lines is the ones that are zero and undefined. The yellow line on the left is undefined, the yellow line on the right is zero.

What is the slope of the proportional relationship, and how can I graph it?

Answers

Answer:

I would say 5.2 .

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?

Answers

Answer:

none of the above

Step-by-step explanation:

it should be: 9.70/5 = 11/x

Answer:

e

Step-by-step explanation:

HELP ASAP PLEASE?!

The graph at the right shows Jeremy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?

A) 350 miles
B) 400 miles
C) 500 miles
D) 550 miles

Answers

Answer: your anwser would be 500 c

Step-by-step explanation:

this is becuase for 1 hour it is 50 miles so you would multply 10 times 50 and get 500 please mark brainliest

the correct answer is 500 miles C

How do you work out the problem x+3=4+x

Answers

Answer:

No solution

Step-by-step explanation:

Since both x's are positive, there's no way to put to x on either side, because when you transfer sides, you add/subtract the opposite, so there can't be a value for x


Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is
needed?
Show work !

Answers

Answer:

7 7/8 cups of flour

Step-by-step explanation:

2.25 times 3.5 equals 7.875

This recipe makes 6 pancakes. Sanjay follows the recipe but wants to make 30 pancakes. How much of each ingredient does he need? Recipe: Makes 6 135 g flour 1 teaspoon (tsp) baking powder 2 tablespoons (tbsps) sugar 130 ml milk 1 egg 2 tablespoons (tbsps) oil

Answers

Answer:

30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)

flour: 135g*5=675g

baking powder: 1 tsp*5=5 teaspoons

sugar: 2 tbsps*5=10 tablespoons

milk: 130ml*5=650ml

eggs: 1 egg*5=5 eggs

oil: 2 tbsps*5=10 tablespoons

this is an area in which objects will interact with a magnet

Answers

answer: magnetic field

I need help with this please

Answers

Answer:

False

Step-by-step explanation:

Angle S is 6.75

Angle R is 6.8

Angle Q is 10.54

As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
WILT
5
y = -2 +2
{
y = 32 - 4
ng
Choose 1 answer:
f
xt
1
3
2Y =
f
aple
©
5
=
27=
1
2
3
1
2
tems
293
1
5
D
Do 4 problems

Answers

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?

Answers

Answer: 40 is the answer

Explanation: He is driving 65 miles an hour so 65+65=130 and you subtract that from 179, so 179-130 and it equals 40

Answer:

you should take notes

Step-by-step explanation:

why you should know this your teacher probally already taught you this already you should go back and take notes = )

2. Approximate e?. Round your answer to the nearest tenth

Answers

Answer:

1096.6

Step-by-step explanation:

The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.

Answer:

1096.6.

Step-by-step explanation:

e = about 2.7

2.7^7is about 1046

Pls help I'm falling behind

Answers

this would be 2.7•10^5

If IK and LN are parallel lines and M

Answers

Answer:

40°

Step-by-step explanation:

Both angles are opposites so together they equal 180.

180 - 140 = 40

I hope this helps!!

The measure of angle IJM is 40°.

What are Angles?

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given are two parallel lines IK and LN.

From the figure, OH is a transversal line that intersects the given parallel lines.

We have m ∠IJH = 140°

We have to calculate the measure of ∠IJM.

Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.

m ∠IJH + m ∠IJM = 180°

140° + m ∠IJM = 180°

m ∠IJM = 180° - 140°

m ∠IJM = 40°

Hence 40° is the measure of angle IJM.

To learn more about Angles, click :

https://brainly.com/question/28451077

#SPJ2

B1
F
Ayesha plays hockey.
Last year Ayesha scored 8 goals.
This year Ayesha scored 13 goals.
Calculate the percentage increase
in for the number of goals
scored.

Answers

Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

ABCD is a parallelogram. What is the measure of ∠ACD?

Answers

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

1 Which of these expressions is equivalent to 32 + 48? A 8(4 + 8) B 16 (2 + 3) C 4(8 + 16) D 16 (16 + 32)​

Answers

Answer:

B)16(2+3) is equivalent to 32+48

A farmer plants wheat in a rectangular plot of land having a length of 7260 feet and a width of
1200 feet. If the farmer makes a profit of $30 per acre, how much profit should he expect to
make from the wheat planted, in dollars?

Answers

Answer:

  $6000

Step-by-step explanation:

There are 43560 square feet in an acre. The profit is expected to be ...

  (7260 ft)(1200 ft) × ($30)/(43560 ft²) = $6000

_____

The area of the plot is 200 acres.

Identify the equation of the line graphed below. Prove by converting!

A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8

Answers

The answer is c. x+2y=8

PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12

Answers

Answer:

I believe the equation would be: y=3/2x-20

Step-by-step explanation:

This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)

Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)

After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"

y-y1=m(x-x1)

y+11=3/2(x-6)

-distribute the 3/2-

y+11=3/2x-18/2

y+11=3/2x-9

-subtract 11 on both sides-

y=3/2x-20

Im not sure if all calculations are correct, but I hope this helps! :)

12 circles to 8 squares simplified is what

Answers

The ratio of circles to squares is 3:2 that means for every 3 circles there will be 2 squares all you have to do to find this answer is divide 12 and 8 by 4.

What is the equation of the line that passes through the point (-4,6) and has an undefined slope?

Answers

answer: x=-4

Explanation: it is undefined so it will be x=…

Can the distributive property be used to rewrite
4x (6 - 3)?

Answers

Answer:

12x

Step-by-step explanation:

cuz i said so

Question 10 Multiple Choice Worth 1 points)
(4.04 MC)
Which of the following is a linear function?
A) y=3x^2
B) y=1 /3x
C) y=x^3 +5
D) 2/3x = y-1
Please helppp

Answers

It’s Gonna be D bc 2/3x =y-1
D) 2/3x=y-1 is the linear function

Given the curve [tex]\displaystyle \large{y=e^{-x}\sin x \ \ (x\geq 0)[/tex] let the area enclosed by the curve and the x-axis (above the x-axis) be S0, S1, S2, ... , Sn, ... in order from y-axis. Find [tex]\displaystyle \large{ \lim_{n \to \infty} \sum_{k=0}^{n} S_k}[/tex]

Answers

The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets

[tex]R_0 = \left\{(x, y) : 0 \le x \le \pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

[tex]R_1 = \left\{(x, y) : 2\pi \le x \le 3\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

[tex]R_2 = \left\{(x, y) : 4\pi \le x \le 5\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

and so on, with

[tex]R_k = \left\{(x, y) : 2k\pi \le x \le (2k+1)\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

for natural number k.

The areas themselves are then given by the integral

[tex]S_k = \displaystyle \int_{2k\pi}^{(2k+1)\pi} \int_0^{e^{-x}\sin(x)} dy \, dx = \int_{2k\pi}^{(2k+1)\pi} e^{-x}\sin(x) \, dx[/tex]

Integrate by parts twice. Take

[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]

[tex]dv = \sin(x) \, dx \implies v = -\cos(x)[/tex]

so that

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - \int e^{-x}\cos(x) \, dx[/tex]

then

[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]

[tex]dv = \cos(x) \, dx \implies v = \sin(x)[/tex]

so that

[tex]\displaystyle \int e^{-x}\cos(x) \, dx = e^{-x}\sin(x) + \int e^{-x}\sin(x) \, dx[/tex]

Overall, we find

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - e^{-x}\sin(x) - \int e^{-x}\sin(x) \, dx[/tex]

or

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -\frac12 e^{-x} (\cos(x)+\sin(x)) + C[/tex]

Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be

[tex]\displaystyle S_k = -\frac12 e^{-(2k+1)\pi} (\cos((2k+1)\pi)+\sin((2k+1)\pi)) + \frac12 e^{-2k\pi} (\cos(2k\pi)+\sin(2k\pi))[/tex]

[tex]\displaystyle S_k = \frac12 e^{-2k\pi} \cos(2k\pi) \left(e^{-\pi} + 1\right)[/tex]

[tex]\displaystyle S_k = \frac{e^{-\pi}+1}2 e^{-2k\pi}[/tex]

Since [tex]\left|e^{-2\pi}\right|<1[/tex], the sum we want is a convergent geometric sum. As n goes to ∞, we have

[tex]\displaystyle \lim_{n\to\infty} \sum_{k=0}^n S_k = \frac{e^{-\pi}+1}2 \cdot \frac1{1 - e^{-2\pi}} = \boxed{\frac{e^\pi+1}{4\sinh(\pi)}}[/tex]

#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?

Answers

Answer:  50

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

Explanation:

We're given f(1) = 3.2 which says the first term of the sequence is 3.2

To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...

f(x+1) = 2.5*f(x)

f(1+1) = 2.5*f(1)

f(2) = 2.5*f(1)

f(2) = 2.5*3.2

f(2) = 8

The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.

The third term is handled pretty much in a similar fashion

third term = 2.5*(second term)

third term = 2.5*8

third term = 20

Lastly, the fourth term f(4) is...

f(x+1) = 2.5*f(x)

f(3+1) = 2.5*f(3)

f(4) = 2.5*f(3)

f(4) = 2.5*20

f(4) = 50

The fourth term is 50.

The first four terms are: 3.2, 8, 20, 50

A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height is of the building is approximately

Answers

Answer:

10.07 meters

Step-by-step explanation:

We are given that the angle of elevation is 40° and the boy is 12 meters from the building.

This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].

The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.

Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(40^\circ)=\frac{x}{12}[/tex]

[tex]12tan(40^\circ)=x[/tex]

[tex]x=12tan(40^\circ)[/tex]

[tex]x\approx10.07[/tex]

Therefore, the height of the building is approximately 10.07 meters.

Felicia is a long-distance runner. She is able to run the first 2 hours of a training run at a certain rate. The rate at which she runs after her first 2 hours decreases for the remainder of her training run. On Monday, Felicia runs x hours, where x≥2. The average rate at which Felicia runs for the entire training run is represented by 13+6(x−2)x. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete each statement.

Answers

Answer:

 total distance of Felicia's training run

 first two hours  x  = 2....so we have

[ 13 + 6(2 - 2)  ]  / 2  =  13 / 2  =  distance / rate  =  = 6.5  mph ⇒  "c"

 distance covered in 4 hrs  =

 [13 + 6( 4 - 2) ]  =  13 + 6(2)  =  13 + 12  =  25 miles

 But  she ran  13 miles the first two hours

 So....she must run 12 miles the last two hours   ⇒   "c"

 

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