Answers
The formula [tex]3(4^{n-1})[/tex] represents the geometric sequence.
Step-by-step explanation:
Step 1:
The value of [tex]a_{n}[/tex] is dependent on the value of n.
So n is independent while [tex]a_{n}[/tex] is dependent on n i.e. the value of [tex]a_{n}[/tex]depends on the value of n.
Step 2:
We substitute the values of n in the functions to check which function satisfies the values of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} = -4(3)^{n-1} = -4 (3^{3}) = -108.[/tex] This does not equal the value of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} = 4(3)^{n-1} =-4 (3^{3}) = 108.[/tex] This does not equal the value of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} =3(-4)^{n-1} = 3 (-4^{3}) = -192.[/tex] This does not equal the value of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} =3(4)^{n-1} = 3 (4^{3}) = 192.[/tex] This equals the value of [tex]a_{n}[/tex].
So the fourth formula represents the geometric sequence.
Related Questions
How many minutes will it take the school bus to complete the 52-km trip back to the school at an average speed of 1.0 km/min?
Answers
If the school bus travels at an average speed of 1.0 km/min, it will take 52 minutes to complete the 52 km trip back to the school.
It is given in the question that the school bus is traveling at an average speed = 1.0 km/min
The total distance the school bus will cover on the trip back to the school is = 52 km
According to the formula of speed,
Speed = Distance/Time
So, Time = Distance/Speed
Substituting the given values of distance and speed, we get
Time = 52 km/1.0 km/min
= 52 minutes
Therefore, the time being taken by the school bus to complete the 52 km trip back to the school (average speed = 1.0 km/min) = 52 minutes
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24 decreased by the quotient of a number and 6 is -5
Answers
Answer: X/6 -24 = -5
Step-by-step explanation:
Kelly is reading a 1056-page book. During the past 8 days she has read 384 pages. At this rate, how many more days will it take her to complete the book?
Answers
Answer:
14.75 days
Step-by-step explanation:
number of pages she reads a day :
384/8 = 48
remaining of the book
1056-348= 708
708/48= 14.75 days
Which expression is equivalent to Negative 12 (3 x minus three-fourths)?
Answers
Answer:
[tex]-36x+9[/tex]
Step-by-step explanation:
In the given problem options are missing.
The given expression is
[tex]-12\left(3x-\dfrac{3}{4}\right)[/tex]
We need to find the equivalent expression.
Using distributive property we get
[tex]-12(3x)-12(-\dfrac{3}{4})[/tex]
[tex]-36x+9[/tex]
Hence, the expression [tex]-36x+9[/tex] is equivalent to given expression.
Answer:
-36x + 9
Step-by-step explanation:
To find the answer, simplify by multiplying within the parentheses. -12×3x= -36x. -12×-¾=9. The expression then becomes -36x + 9, which is the answer.
Hope this helps. I got it right on Edgen.
Jenna is filling containers of beans. Each container holds
1
3
of a kilogram of beans. If Jenna has 8 kilograms of beans, how many containers can she fill?
A) 21
B) 23
C) 24
D) 28
Answers
Answer:
C)24
Step-by-step explanation:
Answer:
24 or c
Step-by-step explanation:
its on usatestprep
A school recorded the weights of enrolled males and females.
Which statement BEST compares the distributions?
A) Females weighed more than males on average, but males had more variability than females.
B) Females weighed more than males on average, and males had more variability than males.
C) Males weighed more than females on average, but females had more variability than males.
D) Males weighed more than females on average, and males had more variability than females.
Answers
Answer:
D
Step-by-step explanation:
By the graph, males had the highest weight, females stopped around 90 kg, males went well over that. Males did weigh more on average, being around 70, with the females around 50-60
Answer:
d
Step-by-step explanation:
Find the surface area of number 4, last one!
Answers
Answer:
3,060 ft^2
Step-by-step explanation:
Shape 1:
Base: 36 × 10 = 360 (×2 = 720)
Large faces: 36 × 20 = 720 (×2 = 1,440)
Smaller face: 20 × 10 = 200
Add: 720 + 1,440 + 200 = 2,360
Shape 2:
Base: 15 × 10 = 150
Top face: 25 × 10 = 250
Triangular faces: 20 × 15 = 300
Add: 150 + 250 + 300 = 700
Add both shapes:
2,360 + 700 = 3,060
An antique store is getting ready for their annual show in mark up all the prices by 25% if their most expensive item they have to markup is originally $840 what will be the show price be
Answers
Answer:
$1050
Step-by-step explanation:
The show price will be 25% of $840 and the result added to $840.
Therefore
25% of $840
25% /100% x $840
0.25 x $840
$210
Show price = $840 + $210
= $1050
The show price will be $1050
Final answer:
The show price of the most expensive item after the 25% markup will be $1050.
Explanation:
To determine the show price, we need to calculate a 25% markup on the original price of $840. This markup represents the additional amount added to the original price to determine the final selling price.
To calculate the markup amount, we multiply $840 by 0.25. This gives us $210, which represents the 25% of the original price.
Next, we add the markup amount to the original price. $840 plus $210 equals $1050. This means that the final show price of the most expensive item, after applying a 25% markup, will be $1050.
Therefore, the show price of the most expensive item after the 25% markup will be $1050.
2 Points
The value 4 is an upper bound for the zeros of the function shown below.
f(x) = 4x2 - 12x2 – x+15
O A. True
O. B. False
SUBMIT
Answers
Answer:
Step-by-step explanation:
A true true
Answer:
T
Step-by-step explanation:
PLEASE HELP ME I NEED HELP YOU WILL BE BRAINIEST
Answers
Answer:
533 sq in
Step-by-step explanation:
13x29=377. that is the area of the rectangle.
then, the side of the triangle will be 13+11= 24in
area of a triangle is bxh/2 so 13x24 is 312 then divided by 2 is 156.
Add the two areas together 377+156 to get 533.
Answer:
533 sq inch
Step-by-step explanation:
Area for rectangle is Length time with
29x13 = 377
area of triangle is base time hieght / 2
24 x 13 = 312 / 2 =156
add them
it took Simon 33 minutes to run 5.5 miles. did he run faster or slower than 1 mile every 5 minutes how can you tell
Answers
Because 33 / 5.5 = 6. So he ran 1 mile every 6 minutes, not 5.
A quiz consists of two true-false questions and four multiple-choice question with three choices each. How many different sets of answers are there?
Answers
In this high school-level mathematics combinatorics question, the total number of different sets of answers for a quiz comprised of two true-false questions and four multiple-choice questions (each with three options) is 324.
Explanation:The subject of this question is combinatorics, a branch of mathematics concerning the study of counting, both as a means and an end in obtaining results, and certain properties of finite structures. Considering first the true-false questions, for each question there are 2 possible answers - true or false. So, for two questions, it would be 2x2 which equals 4 possibilities. Now, moving onto the multiple-choice questions, each with three choices (let's say A, B or C), for four such questions it would be 3x3x3x3 which equals 81 possibilities. To find the total possible answer combinations, multiply the results together: 4 (from true/false) x 81 (from multiple choice) = 324. Therefore, there are 324 different sets of answers for this quiz.
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To calculate the number of different sets of answers for a quiz with two true-false questions and four multiple-choice questions, you multiply the possibilities for each question type together, resulting in 324 different sets of answers.
Explanation:To find the number of different sets of answers for a quiz with two true-false questions and four multiple-choice questions with three choices each, we need to consider the principle of counting. For each true-false question, there are 2 possible answers (True or False). For each multiple-choice question, there are 3 possible answers. To find the total number of different sets of answers, we multiply the number of possible answers for each question together.
For the true-false questions: 2 × 2 = 4 possible combinations.
For the multiple-choice questions: 3 × 3 × 3 × 3 = 81 possible combinations.
Therefore, the total number of different sets of answers is:
4 (from the true-false questions) × 81 (from the multiple-choice questions) = 324 different sets of answers.
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Evaluate f(2) for f(x) = 3^x
Answers
Answer:
9
Step-by-step explanation:
3^2 = 9
Answer:
f(2) = 9
Step-by-step explanation:
Step 1: Substitute 2 for x in the function
f(x) = 3^x
f(2) = 3^2
f(2) = 3*3
f(2) = 9
Answer: f(2) = 9
the area is 28 square cm, and 4 width
Answers
Answer:
High is 7
Step-by-step explanation:
If the area is 28 square cm, and 4 width Then the High is 7
Because 28/4=7
And 7*4=28
What is the solution to log Subscript 5 Baseline (10 x minus 1) = log Subscript 5 Baseline (9 x + 7) x = six-nineteenths x = eight-nineteenths x = 7 x = 8
Answers
Answer:
x=8
Step-by-step explanation:
on edge
Answer:
8
Step-by-step explanation:
on edge
HELP!!!! WILL MARK BRAINLEST IF CORRECT!
How is the distributive property used when finding the product of two polynomials? How are polynomials closed under multiplication?
Answers
Answer:
When you multiply the first number of each polynomial by the second. Then you add the products together and combine like terms to simplify.
Step-by-step explanation:
I don't really know how to explain this, lol.
A truck driver is paid by the number of miles driven. If a truck driver earns $0.48 per mile, how many miles must the trucker drive in 1 hour to earn $17.00 per hour? Round to the nearest mile.
Answers
To earn $17.00 per hour at a rate of $0.48 per mile, the truck driver needs to drive approximately 35 miles per hour.
Explanation:To calculate the number of miles the truck driver must travel to earn $17.00 per hour at a rate of $0.48 per mile, one would set up a math problem to solve for the unknown variable, which in this case is the number of miles. We can accomplish this by dividing the desired total wage by the wage earned per mile.
Therefore: 17 ÷ 0.48 = 35.42. Since we cannot have fraction of miles and we must round up or down, we round to the nearest whole number as per the question's instructions, the truck driver must drive approximately 35 miles in one hour to earn $17.00.
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Logan and Claudia want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Logan values at $4, $1, and $2 respectively. (This means Logan values the 100 Snickers together at $4, or $0.04 for 1 Snickers)
If Claudia is the divider, and in one half puts: 35 Snickers 30 Milky Ways 55 Reese's What is the value of this half in Logan's eyes?
Answers
Answer:
$2.80
Step-by-step explanation:
35 Snickers = $1.40
30 Milky Ways = $0.30
55 Reese's = $1.10
Value of bag:
$2.80
Bill made some purchases that totalled $18.75 and paid for them with a twenty-dollar bill. The cash register has only quarters, dimes and nickels.
In how many different ways can the cashier make change
Answers
Answer:
42
Step-by-step explanation:
The $1.25 in change can be made ...
5 quarters (1 way)4 quarters and any of 2, 1, 0 dimes (3 ways)3 quarters and any of 5, 4, 3, 2, 1, 0 dimes (6 ways)2 quarters and any of 7--0 dimes (8 ways)1 quarter and any of 10--0 dimes (11 ways)0 quarters and any of 12--0 dimes (13 ways)Change can be made a total of 1+3+6+8+11+13 = 42 ways.
1/9 + x = 1/2
What fraction is X?
Answers
Final answer:
The equation 1/9 + x = 1/2 is solved by finding a common denominator and subtracting the fractions, which results in x = 7/18.
Explanation:
To solve the equation 1/9 + x = 1/2, we need to find the value of x.
First, we'll align the equation to isolate x:
1/9 + x = 1/2x = 1/2 - 1/9Next, we must have a common denominator to subtract the fractions. The least common denominator (LCD) for 9 and 2 is 18. We convert both fractions to have this common denominator:
x = (9/18) - (2/18)Now we subtract the numerators:
x = 9/18 - 2/18x = (9 - 2)/18x = 7/18Thus, the value of x is 7/18.
What is the degree measure of v?.
A) 31°
B) 34°
C) 58°
D) 74°
Answers
Answer:
B) 34°
Step-by-step explanation:
149 - 115 = 34°
Exterior angle = sum of other interior angles
Answer:
B) 34°
Step-by-step explanation:
The sum of the two opposite interior angles is equal to the exterior angle in a triangle
v+115 = 149
Subtract 115 from each side
v+115-115 =149-115
v =34
The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the annual percent growth?
Answers
Solution:
The increasing function is given as:
[tex]y = a(1+r)^t[/tex]
Where,
y is future value
a is initial value
r is growth rate
t is number of years
From given,
a = 5000
y = 9500
t = 1997 to 2012 = 15 years
r = ?
Substituting the values we get,
[tex]9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%[/tex]
Thus annual percent growth is 4.37 %
PLEASE HELP QUICKLY!!!! What is the equation of the line with a slope of -3/4 that goes through the point (−6, 3)?
Answers
Answer:
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
or
[tex]y=-0.75x-1.5[/tex]
Step-by-step explanation:
step 1
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{3}{4} \\point\ (-6,3)[/tex]
substitute
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
step 2
Convert to slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
Isolate the variable y
[tex]y-3=-\frac{3}{4}x-\frac{9}{2}[/tex]
[tex]y=-\frac{3}{4}x-\frac{9}{2}+3[/tex]
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
Which figure is similar to the parallelogram? (Figures may not be drawn to scale.) A parallelogram has side lengths of 8 and 5.8. Angles are 68 degrees and 112 degrees. A parallelogram has side lengths of 4 and 4.8. Angles are 68 degrees and 112 degrees. A rectangle has a length of 6 and width of 4.8. All angles are 90 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 48 degrees and 132 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 68 degrees and 112 degrees.
Answers
Answer:
d
Step-by-step explanation:
Calculate the circumference of the inscribed circle. [Use π = 3.14]
A) 18.84 ft
B) 37.68 ft
C) 48 ft
D) 75.36 ft
Answers
Answer:
B) 37.68 ft
Step-by-step explanation:
The diameter is 12 because the square's side is 12. The circumference is diameter * pi. 12 * 3.14 = 37.68.
Hope I Helped
Write the point-slope form of the equation of the line that passes through the point (1, 3) and has a slope of 2. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answers
Answer:
y - 3 = 2(x - 1).
Step-by-step explanation:
Point-slope form is
y - y1 =m(x - x1)
Here m (slope) = 2 , x1 = 1 and y1 = 3:
y - 3 = 2(x - 1).
Ellen Fowler stars in the new TV series Stone Simons: Kid Astronaut. The day after the first episode airs, Ellen receives a bunch of fan mail. She splits all the letters into 3 equal stacks to open with her mom and her sister. Each stack contains 21 letters.
Which equation can you use to find the number of letters n Ellen receives?
Answers
Answer:
Ellen receives a bunch of fan mail. She splits them all into 3 equal stacks to open up with her mom and sister and each stack contains 21 letters.
To find the total number of letters that Ellen has recieved we have to add up all the letters in the 3 piles.
Your equation would be 21*3=n
You would times 21 by 3 because there are 21 letters in each stack.
Where n would represent the number of letter that Ellen has recieved.
To solve for n you would simply go 21*3=63.
Ellen has revieved a total of 63 letters.
Hope this helps ;)
Answer:
7 letters
Step-by-step explanation:
What is the slope of the line.
Answers
Step-by-step explanation:
Two points on the line are (1,4) and(-4,-4)
slope of the line =
[tex] \frac{ y2 - y1}{x2 - x1} [/tex]
[tex] \frac{ - 4 - 4}{ - 4 - 1} [/tex]
[tex] \frac{ - 8}{ - 5} [/tex]
[tex] \frac{8}{5} [/tex]
Help pls I dunno how to do it ): explanation would be nice
Answers
find the volume for the image
Answers
Answer:
[tex] \frac{2}{5} = \frac{30}{x} \\ 2x = 30 \times 5 \\ \frac{2x}{2} = \frac{150}{2} \\ x = 75 {m}^{2} [/tex]