Answers
Answer:
The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)
So, the required 8th term is 49152.
Geometric Series:The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.
The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]
And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]
The given series is,
3, 12, 48, ....
First term=3
The common ratio is,
[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]
So, the given series is geometric series so the 8th term by the above formula is,
[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]
Learn more about the topic Geometric Series:
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Related Questions
3. What is slope of the line above?
4. What is slope of the line above?
help!
Answers
3.) -1/2
4.) 4/3
Factor completely 4x^2 + 3x - 10.
A) (4x - 2)(x + 5)
B) (4x + 2)(x - 5)
C) (4x - 5)(x + 2)
D) (4x + 5)(x - 2)
Answers
= 4x² + 8x -5x - 10
= 4x (x+2) -5(x+2)
= (4x-5) (x+2)
Option C
Answer:
(4x-5)(x+2)
Step-by-step explanation:
Hi please help me as soon as possible:
Rimo spends £588 on a plane ticket and $130 on airport tax. Using £1 = $1.34, what percentage of the total cost does Rimo spend on airport tax?
Give your answer rounded to 1 dp.
PLEASE HURRY I'VE POSTED THREE TIMES THIS QUESTION BUT NO ANSWERS ONLY WATCHERS
Answers
Answer:
Percentage = 14.2%
Step-by-step explanation:
Given the following data;
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92
[tex] Percentage \; cost = \frac {130}{917.92} * 100 [/tex]
[tex] Percentage = 0.1416 * 100 [/tex]
Percentage cost = 14.16 to 1 d.p = 14.2%
Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent.
find the product (a + 3)(a - 2)
Answers
Answer:
a2 + a − 6
Step-by-step explanation:
the a with the 2 beside of it is to the power of
factor -4x+24-4x^2completely
Answers
Answer: 4(−x+2)(x+3)
Step-by-step explanation:
−4x+24−4x^2
−4x^2−4x+24
4(−x+2)(x+3)
William receives a weekly allowance according to the following formula: For each day that he remembers to do his chores, he eams 51.50, and for each day that he doesn't remember to do his chores, he loses
50.25. What amount of allowance would William receive for a week in which he remembers to do his chores on five days and forgets to do them on two days?
Answers
50.25 * 5 = 251.25
50.25 * 2= 100.5
251.25-100.5= 150.75
help, I need help really bad
Answers
Answer:
135
Step-by-step explanation:
you need to explain the actual question and not put an image without context
Answer:
angle a = 70
angle b = 45
angle c = 65
Step-by-step explanation:
Now we will try to find the measure of the unknown angle together. Starting with angle b.
Angle b and 135 make a 180 angle together therefore the following expression.
angle b + 135 = 180
b = 45
Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.
a = 70
Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180
70 + 45 + c + 180
c = 65
The area of the cirle is: | I
10 in
Answers
Answer:
Step-by-step explanation:
diameter = 10 in
radius = 5 in
area = π5² = 25π ≅ 78.5 in²
There were 70 wings at the Super Bowl party. I ate 14. What percent of the wings did I devour?
Answers
Answer: omg yes I ate like 10 wings last night. Your answer should be 20
Step-by-step explanation:
x - 6
———
x + 8
=
9
—
3
Step 1 of 2: State any restriction(s) on the variable, if they exist.
need help asap!!
yes those are fractions ^^
Answers
Answer:
dont know....mmm sorry
To ride a horse at the state fair costs two dollars per minute. Paula buys a 16 minute ride. Next time he plans to write 25% longer. How much will he pay
Answers
Answer:
$40
because it is lol ya know smart
can someone please help because if I don't get my work don then I'm gonna get in trouble :(
Answers
2.) Thermostat 3
3.) Thermostat 2
4.) It is colder because the coldest is -3°C
Simplify. 2√6−4√24+√96What is the greatest common factor of 12xy^5+60x^4y^2−24x^3y^3?
Answers
Answer:
greatest common factor is 12xy² .
Step-by-step explanation:
Dara:240g
Brüt kütle:760g
Net Kütle:.....g
işlem:
Answers
Answer:
Net Mass = 520 g
Step-by-step explanation:
Given:
Waste = 240 g
Gross mass = 760 g
Find:
Net Mass
Computation:
Net Mass = Gross mass - Waste
Net Mass = 760 g - 240 g
Net Mass = 520 g
Carpenters earn an average of $1120 less
per month than designers at a furniture
factory in Smithville. The factory employs
3 designers and 15 carpenters. Let x
represent the average monthly pay of a
designer
Which of the following functions correctly
shows the relationship between the
monthly payroll (P) and the wages of these
employees?
(1) P= 3x + 15(x - 1120)
(2) P= 3(x - 1120) + 15x
(3) P = 3(x - 1120) + 15(x -
1120)
(4) P= 3 + x + 15 + (x - 1120)
(5) P = 3(x)(15)(x - 1120)
Answers
Subtract the 1120 from the carpenters wage
Triangle ABC is shown below.
What is the cosine of angle B?
Answers
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.
cos θ = base / hypotenuse
Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.
Then the cosine of the angle ∠B will be given as,
cos θ = base / hypotenuse
cos B = 3 / 5
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Pls help I’ll brainlest
Answers
Answer:
8
Step-by-step explanation:
Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?
To find our answer, we can solve the equation:
20x + 60 = 220
-60 -60
20x = 160
/20 /20
x = 8
Jeremiah bought 8 toy sets!
I hope this helps :)
Pls help 20 points this question is for my friend
Answers
Answer:
750 cubic feet
Step-by-step explanation:
pls help :(
more than one answer btw
Answers
Answer:
A, C, E
Step-by-step explanation:
hope this helps!
Answer:
I think it is A, C, E
Step-by-step explanation:
can someone help me on this ??
Answers
Simply the expression by combining like terms 6x+9+2x+4
Answers
(282-14*3*6)/(6) -(21-18)
Answers
Answer:
2
Step-by-step explanation:
( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )
= 30/( 6 ) - ( 21 - 18 )
= 30/( 6 ) - 3
[tex]=\frac{30}{6} -3[/tex]
= 2
Answer:
[tex]27[/tex]
Step-by-step explanation:
1) Simplify 14 × 3 to 42.
[tex]282 - 42 \times 6 - (21 - 18)[/tex]
2) Simplify 21 - 18 to 3.
[tex]282 - 42 \times 6 - 3[/tex]
3)Simplify 42 × 6 to 252.
[tex]282 - 252 - 3[/tex]
4) Simplify 282 - 252 to 30.
[tex]30 - 3[/tex]
5) Simplify.
[tex]27[/tex]
Therefor, the answer is 27.
Help person right gets brainlist
Answers
brainliest?
If its mixed number
P=3.60714285
If its need to be decimal
Just copy the answer from the pic
What is the missing constant term in the perfect square that starts with x^2 + 10z
Answers
Answer:
25
Step-by-step explanation:
i think you mean +10x
but (x+a)^2 = x^2 + 2ax + a^2
2ax = 10x
ax = 5x
a = 5
so (x+5)^2 = x^2+10x+25
Use the drop down menus to complete the statement to match the information shown by the graph
Answers
Answer:
yes ikow
Step-by-step explanation:
you can do that if you want to buy
Answer:
where the graph?
Step-by-step explanation:
Which figures can be precisely defined by using only undefined terms? Select three options.
angle
arc
circle
line segment
parallel lines
Answers
Answer:
Circle, angle, and line segment.
Kevin is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?
Answers
Answer:
He would have 2.75 gallons left after 5 hours.
Step-by-step explanation:
A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB = 6, BD = 23, and AB = CD, find the length of segment AD.
Answers
Answer:
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Step-by-step explanation: pls brain list
Radon is a naturally occurring gas and is the second leading cause of lung cancer in the United States. It comes from the natural breakdown of uranium in the soil and enters buildings through cracks and other holes in the foundations. Found throughout the United States, levels vary considerably from state to state. Several methods can reduce the levels of radon in your home, and the Environmental Protection Agency ecommends using one of these if the measured level in your home is above 4 picocuries per liter. Four readings from Franklin County, Ohio, where the county average is 9.32 picocuries per liter, were 5.2, 13.8, 8.6, and 16.8.
Required:
a. Find the mean step-by-step.
b. Find the standard deviation step-by-step.
Answers
Answer:
a) mean = 11.1
b) Standard Deviation = 5.191
Step-by-step explanation:
Given the data in the question;
x = 5.2, 13.8, 8.6, and 16.8
sample n = 4
so;
x ( x - mean)²
5.2 34.81
13.8 7.29
8.6 6.25
16.8 32.49
∑ 44.4 80.84
a) Mean
Mean = total sum of the sample divided by the sample size
mean = ∑x / n
we substitute
mean = 44.4 / 4
mean = 11.1
b)
Standard Deviation is the Square root of variance;
Variance = ∑(x-mean)² / n - 1
we substitute from the above table
Variance = 80.81 / 4 - 1
Variance = 80.81 / 3
Variance = 26.94667
now since Standard Deviation is the Square root of variance;
Standard Deviation = √Variance
Standard Deviation = √26.94667
Standard Deviation = 5.191
my father bought a robot for 670 2.50 and a toy car for 300 19.25 how much change did he get for his 1000.00
A.7.25 B.15.75cm C.27.75cm D.10.25
Answers
Answer:
Step-by-step explanation:
If it is supposed to be 672.50 and 319.25 then you can just go 1000 minus 672.50 which is 327.50 and then subtract 319.25 to get 8.25. But your answers show cm and none show the right answer. So, if it's rounding then choose A.