HELP HELP HELP!!!!!!!
A piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
Find both the explicit and recursive rule for this geometric sequence.
Answers
Answer:
sorry i am struggling the same
Step-by-step explanation:
2+2=4
The answers to each part are mentioned below.
What is geometric sequence? What is an exponential function? Differentiate between equation and expression? geometric sequence : A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
We can write the geometric sequence as -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula for a geometric sequence is of the form -a{n} = arⁿ ⁻ ¹
where [r] is the common ratio.
The recursive formula for a geometric sequence is of the form -a{n} = a{n - 1}rFor the geometric sequence -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula will be : a{n} = (0.1)(2)ⁿ ⁻ ¹ The recursive formula will be : a{n} = 2a{n - 1}If the paper is folded 7 times, we can write the thickness as -
y{7} = (0.1)(2)⁶ = (0.1) x (64) = 6.4
To surpass the Mount Everest, we can write -
8850 < (0.1)(2)ⁿ ⁻ ¹
(2)ⁿ ⁻ ¹ > 88500
(2)ⁿ/2 > 88500
(2)ⁿ > 177000
n log(2) > log(177000)
n > {5.25/log(2)}
n > 17.44
n > 18
Therefore, the answers to each part are mentioned above.
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Related Questions
Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.
Answers
Step-by-step explanation:
its too blurry I can't see the numbers
Lucy uses a code to open a lock.
The code is a letter followed by a 2-digit number.
The letter is L or U.
The number is a prime number between 20 and 30
Write down all the possibilities for Lucy's code.
Answers
Answer:
L23
L29
U23
U29
Step-by-step explanation:
We have two elements for the code:
Letter: The options are L and U.
Number: A prime number between 20 and 30, the options here are:
23, 29 (These are the only two prime numbers between 20 and 30)
Then the possible combinations are:
L23
L29
U23
U29
The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?
Answers
Answer:
21 and 34.
Step-by-step explanation:
21 is 13 less than 34 and the sum of them is 55.
Sally is 4 years older than Brody. Evelyn is 3 times older than Brody. If Brody's age is represented by x, create an expression that represents the total age of all three people.
A.4x+4
B. 5x
C.5x+4
D.7x
Answers
Answer:
Its C. 5x +4
Step-by-step explanation:
The expression that represents the total age of all three people is f(x) = 5x + 4.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Sally who is 4 years older than Brody. Evelyn is 3 times older than Brody.
Assume that Brody's age is represented by [x]. Then, the age of Evelyn will be (3x) and the age of Sally would be (x + 4). The expression that represents the total age of all three people is -
f(x) = x + (x + 4) + 3x = 5x + 4
f(x) = 5x + 4
Therefore, the expression that represents the total age of all three people is f(x) = 5x + 4.
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In the zoo, there are 12 elephants, 8 giraffes, 9 lions, 10 seals, and 16 otters.
What is the ratio of elephants to all the animals at the zoo?
Answers
Answer:
12:55
Step-by-step explanation:
12 + 8+ 9 + 10 + 16 = 55
hope this helps :)
Answer:
16/55
Step-by-step explanation:
If you add all the animals together then put it in fraction form you have 16/55
Need a little with this math Question
Answers
Answer:
it would be the third one ( 0,3)
GOOD AT MATH!! PLEASE HELPPP
Answers
Answer:
B. 5
Step-by-step explanation:
Use the pythagorean theorem to solve: [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex].
[tex]a^{2}[/tex]+[tex]12^{2}[/tex]=[tex]13^{2}[/tex]
[tex]a^{2}[/tex]+144=169
Subtract 144 from 169.
[tex]a^{2}[/tex]-144=169-144
[tex]a^{2}[/tex]=25
Square root to get a.
[tex]\sqrt{a}[/tex]=[tex]\sqrt{25}[/tex]
a= 5
Simplify:
3 (2x - 4)
Answers
Answer:
Step-by-step explanation:
Solve for x
5/6 = x/4
Answers
Answer:
hi
Step-by-step explanation:
hi
Answer:
it would be x= 10/3
Step-by-step explanation: If this answer is incorrect my apologies.
A penny is about 5×10−3 feet thick. The One World Trade Center building is about 2,000 feet tall. How many pennies would be in a stack of pennies as tall as the One World Trade Center building?
Answers
Answer:
400000 pennies
Step-by-step explanation:
A penny is about 5×10^-3 feet thick. The One World Trade Center building is about 2,000 feet tall.
The number of pennies that would be in a stack of pennies as tall as the One World Trade Center building is calculated as:
Height of the building ÷ Thickness of a penny
Height of the building = 2000 feet
Thickness of a penny = 5 × 10^-3 feet
Hence:
= 2000feet/ 5 × 10^-3 feet
= 400000 pennies
You have purchased a 30-pound case of lemons that has a count size of 96. About how many ounces would each lemon weigh?
Answers
Answer:
I think it would be 3.2 ounces because 96 divided by 30 is 3.2
Step-by-step explanation:
Level 1
Question
1
T is inversely proportional to N.
When T = 30, N = 5.
(a) Find an equation connecting T and N.
(b) Work out the value of T when N = 10
(C) Work out the value of N when T = 25
*
Answers
T=k/N
30=k/5
K=150
T=150/N thats a
T=150/10 T is 15 for b
25=150/N N is 6 for c
Answer:
a)T=k/N
b)T=15
c)N=6
Step-by-step explanation:
kindly see attached
Help ASAP please Ahhhhh
Answers
Answer:its A
Step-by-step explanation:
Answer:
Your answer would be A. Your welcome
in a search engine, 40,000 searches are done every minute.
How many searches are done in an hour?
write your answer in standard index form
Answers
Answer:
2400000 in a hour
Step-by-step explanation:
40,000 × 60 = 2400000 you need to multiple 40,000 with 60 because there is 60 minutes in a hour
i need help
4x+2=2(x+6)
Answers
Answer:
x = 5
Step-by-step explanation:
Answer:
X=5
Step-by-step explanation:
every day of the week sam's swim shop offers a different deal to its loyal customers. if the total price neil paid was $92.30 and it would normally cost $142.00, what percent off was the daily deal?
Answers
Answer:
$48.60
it would cost up to that much because
Which exponential function is represented by the graph ?
Answers
Answer:
amogusStep-by-step explanation:
On average, a car will depreciate by about 21% of its value each year. If a
new car costs $20,000, which equation can be used to find the
approximate number of years, n, the car takes to reach a value of $7,790?
Answers
Answer: D
Step-by-step explanation:
What expressions are equivalent to X+2y+X+2
A. 2(x+y+1)
B. 2x+4y+4
C. None of the above
Plz help
Answers
Nine friends share 8 bags of trail mix equally.what fraction of a bag of trail mix does each friend get?
Answers
Answer:
By doing 3 divided by 5, you will get 3/5 of trail mix per person.
Step-by-step explanation:
The fraction of a bag of trail mix each friend gets will be 8/9.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Nine friends share 8 bags of trail mix equally.
Then the fraction of a bag of trail mix each friend gets will be given by the division of the number 8 by 9. Then the fraction is given as,
⇒ 8 / 9
The fraction of a bag of trail mix each friend gets will be 8/9.
More about the Algebra link is given below.
https://brainly.com/question/953809
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PLease HELLLPPPPP I NEED HELP
Answers
Answer: I don’t know...... sorry
Step-by-step explanation:
Solve w^2+13w+42=0 by factoring.
Answers
Answer: {-7, -6}
Explanation: When an equation has a squared term in it,
it's called a polynomial equation.
The rule for solving a polynomial equation
is to first set it equal to 0, then factor.
Since this equation is already set equal to 0, we can factor the left side.
The left side is a trinomial that can be
factored as the product of two binomials.
The first term in each binomial will be a factor of the w².
Since w² factors a w · w, we use a w as our first term.
For the last terms, we use factors of 42 that add
to 13 and these factors are +7 and +6.
So we have (w + 7)(w + 6) = 0.
So either w + 7 = 0 or w + 6 = 0.
Solving for w in each equation, we find that our solution set is {-7, -6}.
Help needed ASAP!
Write a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4.
Answers
Answer:
[tex] {x}^{4} - {x}^{3} - {9x}^{2} - {11x}^{2} - 4 [/tex]
Step-by-step explanation:
Since the roots are -1,-1,-1 and 4 we can that as.
[tex](x + 1)(x + 1)(x + 1)(x - 4)[/tex]
x+1=0, x equal -1, and x-4=0 and x equal 4. Then apply the foil method to one at a time and you equal the answer above.
Move values to the lines to complete the sentence about triangle p’ q’ r’
Answers
Subtract 4x2 – 7x +6 from 2x2 – 5x – 4. Express as a trinomial
Answers
Answer: -2x²+2x-10
Step-by-step explanation:
Rephrase the expression
Subtract 4x²-7x+6 from 2x²-5x-4
(2x²-5x-4)-(4x²-7x+6)
Expand parenthesis
2x²-5x-4-4x²+7x-6
Put like terms together
(2x²-4x²)+(7x-5x)-(4+6)
Combine like terms
-2x²+2x-10
Hope this helps!! :)
Please let me know if you have any questions
pls help i will give brainliest
Answers
Answer:
A
Step-by-step explanation:
96/38n X 25/45 (multiplying rational expressions .simplify.)
Answers
[tex] \frac{96}{38} \frac{25}{45} [/tex]
That's my answer I hope it helps #brainliestbunch - _ - ;)[tex] \frac{96}{38} \frac{25}{45} [/tex]
That's my answer I hope it helps #brainliestbunch - _ - ;)In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?
Answers
Answer:
Step-by-step explanation:
sinS = 9/41 ≅ 0.22°
Write an algebraic expression for each situation for 22 divided by s
Answers
Answer:
s/22? i think thats one way
Step-by-step explanation:
Two gears have a ratio of 8:3.
If the smaller gear has 24 teeth
how many teeth does the larger
gear have?
Answers
Step-by-step explanation:
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