Please help! 25 points! Find the sum of the first 6 terms of the following series, to the nearest integer.
28, 112, 448,....
Answers
Answer:
595
Step-by-step explanation:
First term:
7
7 ⋅ 4 = 28
Second term:
28
28 ⋅ 4 = 112
Third term:
112
112 ⋅ 4 = 448
Fourth term:
448
This geometric sequence can be further described by the equation:
aₙ = 7 ⋅ 4 ⁿ⁻¹
So if you want to find the 4th term, n = 4
a ₄ = 7 ⋅ 4 ⁴⁻¹ = 7 ⋅ 4 ³ = 7 ⋅ 64 = 448
Note:
aₙ = a₁ rⁿ ⁻¹
Related Questions
Convert the measurement indicated.
96 in to feet
96 in = 11 ft
Answers
foot ×12 =inch
here,
inch=96
foot=?
now
foot = inch /12
foot = 96/12
foot= 8 ft
Question 13 I don’t know how to do it
Answers
Answer:
y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)
Step-by-step explanation:
The roots from the graph are
x = - 6 , then factor is (x + 6)
x = - 2 , then factor is (x + 2)
x = 1 ( multiplicity 2 ) , then factor is (x - 1)² then
y = a(x - 1)²(x + 2)(x + 6) ← a is a multiplier
To find a substitute any point on the graph into the equation
Using (0, - 3 ), then
- 3 = a(- 1)²(2)(6) = 12a ( divide both sides by 12 )
- [tex]\frac{1}{4}[/tex] = a
Then
y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at math.
Graph the equation below using the slope and y-intercept form.
Answers
Answer:
Answer below
Step-by-step explanation:
The y-intercept is 2, so you know that one point will be (0,2). The slope is 2/3 so you go 2 units up and 3 units to the right from (0,2).
Suppose you have a bag containing 5 white marbles, 8 black marbles, 4 red marbles, and 9 green marbles. You draw a
single marble, record the color, and then place the marble back into the bag. You do this 10 times in total. After the final
time, you count your observations and see that you drew a black marble 3 times. Using what you know about theoretical
probabilities, was this likely to occur? Explain.
Answers
Answer:Yes
Step-by-step explanation:Because if u use the antropy system you'll know i hope i helped
At the city Museum child admission is $6.20 an adult admission is $9.90 on Sunday 142 tickets were sold for a total sales of $1183.80 how much adult tickets were sold that day
Answers
Answer:
82
Step-by-step explanation:
Set the number of adult tickets sold as x. Then, the number of tickets for children would be 142-x
The total cost of all the tickets would be:
6.2(142 - x) + 9.9(x) = 1183.80
Simplify and solve
3.7x + 880.4 = 1183.8
3.7x = 303.4
x = 82
So, the answer is 82 tickets.
Tiffany quiz grades on 1st 4 quizzes are 72,87,83,90
Answers
Answer:
90
Step-by-step explanation:
72 is the least and 90 is the greatest
87 is the second most greatest and 83 is the third most.
Therefore the answer is 90
HELP HELP 6th grade help
Answers
Answer:
A: numerical
B:catergorical
C:catergorical
Step-by-step explanation:
What is the decimal equivalent of 2/3?
Answers
Answer:
0.66
Step-by-step explanation:
Answer:
i think 0.6
Step-by-step explanation:
i thank hope it helps
-4(y - 2) = 12
y = ?
Answers
Answer:
Hello! answer: -1
Hope that helps!
-4, 1, 8, 4, 8, 7, 10, -5, -2, 7
Work out the mean temperature
Please help me the homework is due tomorrow
Answers
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x^2+ 181x + 59
Answers
Answer:
The rocket will hit the ground after about 11.63 seconds.
Step-by-step explanation:
A rocket is launched from a tower. Its height y in feet after x seconds is modeled by the equation:
[tex]y=-16x^2+181x+59[/tex]
We want to determine the time at which the rocket will hit the ground.
If it hits the ground, its height y above the ground will be 0. So, we can set y = 0 and solve for x:
[tex]0=-16x^2+181x+59[/tex]
Solve the quadratic. Factoring is too tedious or impossible, and completing the square is also very tedious. So, we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = -16, b = 181, and c = 59. Substitute:
[tex]\displaystyle x=\frac{-(181)\pm\sqrt{(181)^2-4(-16)(59)}}{2(-16)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{-181\pm\sqrt{36537}}{-32}[/tex]
Simplify:
[tex]\displaystyle x=\frac{181\pm\sqrt{36537}}{32}[/tex]
Hence, our solutions are:
[tex]\displaystyle x=\frac{181+\sqrt{36537}}{32}\approx 11.63\text{ or } x=\frac{181-\sqrt{36537}}{32}\approx-0.32[/tex]
Since time cannot be negative, we can ignore the second solution.
So, the rocket will hit the ground after about 11.63 seconds.
help please and thank you
Answers
Answer:
B
Step-by-step explanation:
its 60°
thank me later
Answer:
B
Step-by-step explanation:
Triangles have angle totals adding to 180. You already have 120 so the other must be 60.
In the triangle below, what is the length of the side opposite the 60° angle?
A. /3
B. 3/3
C. 6
D. 2/3
Answers
Step-by-step explanation:
[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]
ieadfjhnvlkadfsjnglkjvhndkjlfnvba;jdkfnvkl;jn help please
Answers
Answer:
A.
Step-by-step explanation:
It's the closest one to the answer, The answer I got is - 4;2
10 • (0.15 +q) for q= 2.6
Answers
Answer:
27.5
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this answer). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
how much normally is retaking a high school class?
Answers
Answer:
What do you mean?
Step-by-step explanation:
How much bigger is 9 3/4 than 9 5/8
Answers
Answer: (9 3/4)= 78/8 is greater than 77/8 = (9 5/8)
Step-by-step explanation:
there for 9 3/4 is 1/8th greater than 9 5/8
You get this by doing 3/4 times 2 because the denominator will equal 8 .What ever you do to the bottom you do to the top
Last exam question for the day And im finally off!
No LINKS
Answers
Answer:
A1: a=4
A2: a=12
A3: p=18
Step-by-step explanation:
a= 1/2 4 * 2
= 4
a = 1/2 6 * 4
= 12
to find p add all sides
P= 6 + 6 + 6 = 18
the question is in the picture lol
Answers
Help pls 15 points!!
Answers
Answer:
i think its num 4
Step-by-step explanation:
Find lim f(x) as x->2- and lim f(x) as x->2+
Answers
Answer:
2x the correct answer okay
what are the slope and y-intercept of the line described by y = 2x +6?
Slope is m= ________
Y-interept is (0, ________)
Answers
Answer:
Slope is m= 2
Y-interept is (0, 6)
Step-by-step explanation:
y = 2x +6
Equating it with
y = mx + b
We find
m = 2
b = 6
Therefore,
Slope is m= 2
Y-interept is (0, 6)
Answer:
slope is m=2
y intercept is (0,6)
Step-by-step explanation:
whats 2 plus 7 plus 3
Answers
Answer:
Hi, there your answer will 12
2+7+3=12
Have a nice day
Step-by-step explanation:
Answer:
12Step-by-step explanation:
I added it up XD Thanks for the points.
An elementary bake sale is selling brownies and cookies. Their goal is to make $500
dollars. Each brownies is sold for $2 and each cookie is sold for $1.50. Write an
equation to represent the number of brownies, b, and cookies, c, that must be sold to
make $500.
Answer:
Submit Answer
Answers
Answer:
2b + 1.5c = 500
Step-by-step explanation:
Cost per brownie = $2
Cost per cookie = $1.50
Number of brownie = b
Number of cookie = c
you have money for the amusement park you spent $6 on bumper cars and have $12 left and solve an equation that gives the amount of money you started with.
Answers
Answer:
The expression ( Unsolved equation ) would be 12 + 6 = X .
The answer would be X = 18 .
Please give me Brainliest ! :)
Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.
Answers
Answer:
B. neither of them are solutions
answer 4 some free pointz
Answers
Answer:
Step-by-step explanation:
According to the multiplication table, what is
the product of the polynomials?
Answers
A
Step by step explanation:
Mr. Litterski creates a ball from rubber bands.
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!
Answers
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
[tex]A = 4\pi r[/tex]
In which r is the radius.
Volume:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The circumference of the ball is 9.4 inches.
So the radius is:
[tex]6.2832r = 9.4[/tex]
[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]
Surface area
[tex]A = 4\pi(1.53)^2 = 29.3[/tex]
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
What are the answers?
Answers
Answer:
20.5 , 30.4 , 5.3
Step-by-step explanation:
SOHCAHTOA
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
tanθ = opposite / adjacent
10. tan64° = 42 / x ; x = 42 / tan64° ; x = 20.48476872
12. sin54° = BD / 20 ; BD = 20 * sin54° ; BD = 16.18033989 ;
tan28° = BD / DC ; DC = BD / tan28° ; DC = 30.43079344
13. tan51° = JL / 14 ; JL = 14 * tan51° ; JL = 17.28856019 ;
cos72° = KL / JL ; KL = JL * cos72° ; KL = 5.342458907