Answers
Answer:
To calculate [tex]r[/tex], calculate the quotient of two consecutive terms.
[tex]r = \frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}= \frac{n+1}{4}[/tex]
For all [tex]n \ge 4[/tex], [tex]r>1[/tex], so the series converges, as the series grows (even more than) exponentially.
Related Questions
Amber has determined that the experimental probability of making a free throw in basketball is 12/15. What it the probability of missing a basket?
Answers
Answer:
3/15, 1/5, or 0.2 probability. Highly unlikely
Explanation:
12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.
~Hope this helps~
If the measures of two angles of a triangle are 96 and 17°, what is the measure of the third angle
Answers
96+17=113
180-113=67
Help ASAP I’ll mark brainliest
Answers
Answer:
C. 254
Step-by-step explanation:
There are 3 different types of engineers listed in the chart, Electrical, Chemical, and Mechanical. Under the first column of math, add together the numbers for all three engineers.
85+80+89= 254
Therefore, 254 engineers chose math as their favorite subject.
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answers
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5
Answers
Answer: 5(1-x) over x
Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).
Which of the following statements are not true about parallelograms?
Select all that apply.
1. The area of a parallelogram is half of the product of its length and width.
2. The angles formed by the diagonals of a parallelogram are complementary to each
other.
3. The diagonals of a parallelogram bisect each other.
4. A diagonal divides a parallelogram into two congruent triangles.
5. Two consecutive angles of a parallelogram are supplementary.
Answers
9514 1404 393
Answer:
1, 2
Step-by-step explanation:
1. The area of a parallelogram is the product of length and width. The given statement is FALSE.
2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.
3. TRUE
4. TRUE
5. TRUE
__
Statements 1 and 2 are not true.
Pleaaaaaase help this is due today
What does the statement “ The shortest distance between two points is the straight line between them” have to do with the Triangle Inequality Conjecture?
Do not answer this with one, none, or a ridiculous response please... this is serious
Answers
Answer:
https://geometryhelp.net/triangle-inequality-theorem/
Step-by-step explanation:
This is from that site. Visit it and you may find what you're looking for.
If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.
Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.
X=y-3
2x-2y=-6
No solution, one solution, or infinite solution?
Answers
Answer:
No solution
Step-by-step explanation:
2y - 3 - 2y = -6
2y - 2y - 3 = -6
-3 = -6
No solution
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y = [tex]\frac{3}{2}[/tex]x
y = -x + 5
WILL PICK BRAINLIEST ANSWER, THANK YOU, AND 5 STAR FOR FULL EXPLANATION. :)
Answers
Answer:
1 1/2
Step-by-step explanation:
Plz guys help I need help
Answers
Gechina Galvez shopped at a department store during the end-of-summer sale All luggage was marked down 35 percent. She purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8000, and a tote bag that regularly sells for $39.99. What is the total sale price?
Answers
Answer:
The total sale price that Gechina paid was $5,274.71.
Step-by-step explanation:
Given that Gechina Galvez shopped at a department store during the end-of-summer sale in which all luggage was marked down 35 percent, and she purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8,000, and a tote bag that regularly sells for $39.99, in order to know the total sale price, the following calculation has to be made:
100 - 35 = 65
(8,000 + 74.95 + 39.99) x 0.65 = X
8,114.94 x 0.65 = X
5,274.71 = X
Therefore, the total sale price that Gechina paid was $5,274.71.
Someone help pleaseee :)) thanks guyss
Answers
2 7/10
Explanation:
First you multiply 5 by 2/5 which is 2.
Next you multiply 2 by 2 which is 4.
Then you multiply -3 by 1.1 or you can turn it into a fraction then multiply
-3x11/10 which is - 33/10 .
Finally you put them all together and add or subtract.
2+4-33/10=?
6 - 33/10=?
60/10-33/10=27/10=2 7/10
A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?
Answers
Answer:
Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].
Step-by-step explanation:
When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].
However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.
Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.
[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].
Integrate with respect to [tex]x[/tex]:
[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].
In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].
Write the equation of the line of reflection in the following picture
Answers
Answer:
it is reflected in the x-axis so y=0
Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet
Answers
3.5 feet = 1 1/15 meters
7 more than a number ?
A)n+7
B)7+n
C)7-n
Answers
Answer:
B)7+n
Step-by-step explanation:
Answer:
A but see below.
Step-by-step explanation:
A is likely the best answer, although B is also correct. However you should write things in the other they are given.
n + 7 is the very best way to answer.
7 + n is not wrong but maybe not wanted.
Solve the formula A=2πrh+2πr2 for h.
Answers
Answer:
h = (A - 2πr²)/(2πr)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
A = 2πrh + 2πr²
Step 2: Solve for h
[Subtraction Property of Equality] Subtract 2πr² on both sides: A - 2πr² = 2πrh[Division Property of Equality] Divide 2πr on both sides: (A - 2πr²)/(2πr) = hRewrite/Rearrange: h = (A - 2πr²)/(2πr)Tony invests $3,000 dollars in an account earning 12% interest per year. How long will it take
him to make $3960 dollars in simple interest?
3 years
5 years
8 years
11 years
Answers
Answer: 11 years
Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11
Answer: it will take 11 years
Express 13/3 as mixed fraction
Answers
Answer:
4*1/3
Step-by-step explanation:
easy we know for each 3/3 == 1
so:
3*4 == 12
1/3 is left over so,
4*1/3
Answer:
the answer is 4 1/3, i recommend using the app mathaway
PLEASE HELP I ATTACHED A PICTURE
Answers
Answer:
option 2
Step-by-step explanation:
x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.
Answer:
Option 2
Step-by-step explanation:
If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement while option 4 would represent inequality "x ≥ 7".
15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answers
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlistFind mZBAC
A
20°
B
11
11
Answers
Answer:
numbers dont do into math please move this to englash
Step-by-step explanation:
it posted worng
4.5=2c I need help plz
Answers
Answer:
[tex]c=2.25[/tex]
Step-by-step explanation:
[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]
Fred went to an arcade to play video games. He paid $2 for every 11 tokens he bought. He spent a total of $16 on tokens. Which equation can be used to determine t, the number of tokens Fred bought?
Answers
Answer:
D
Step-by-step explanation:
Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.
Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.
Travis's income is $7200a month, and he plans to budget 1/2 of his income for rent and 1/6 of his income for electricity.What fraction of his income does he plan to spend each month on these two items together? Express your answer in lowest terms.
Answers
Answer:
Travis plans on spending 2/3 of his income which is $4800
Step-by-step explanation:
1/2 = 3/6 and 3/6 + 1/6 = 4/6 and 4/6 = 2/3
Answer:
2/3
Step-by-step explanation:
7200 / 2 = 3600 rent
7200/ 1/6 = 1200 electricity
3600 +1200 = 4800
4800/7200 = the same as simplified 48/72
We know our 12x table = 4/6
We can simplify 4/6 as 2/3
92 divided by the sum of 49 and 36?
Answers
Answer:
92/85
Step-by-step explanation:
Please help I need due rn
Answers
Answer:
4 3/12
Step-by-step explanation:
= 4.25 = 4 1/4 = 4 3/12
How many full 5/8 ft pieces of wood can you cut from a board that is 458 feet long?
Answers
Answer:
732 pieces
Step-by-step explanation:
458/5/8
= 458* 8/5= 732 pieces
if my answer helps please mark as brainliest
4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent
Answers
Answer:
It is 16.4 %
Step-by-step explanation:
Subtract 1581 and 1321 to get how much it decreased.
It decreased by 260 so find what percent of 1581 is 260.
260/1581 = 0.164 which is 16.4 %
Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.
Answers
Answer:
two sides have the length of 7m
third side is 11m
Step-by-step explanation:
perimeter is the sum of all sides
let 'n' = length of congruent sides
let '2n - 3' = length of third side
25 = n + n + 2n - 3
25 = 4n - 3
28 = 4n
n = 7m
2(7) - 3 = 11m