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
Daniel walked 2/5 mile in 1/4 hour. How fast did he walk, in miles per hour?
Answers
Answer:
Step-by-step explanation:
[tex]v=\frac{d}{t}\\ \\ v=\frac{\frac{2}{5}}{\frac{1}{4}}\\ \\ v=\frac{2}{5}\left(\frac{4}{1}\right)\\ \\ v=\frac{8}{5}\\ \\ v=1.6\ \frac{mi}{hr}[/tex]
1. Use the Pythagorean
Theorem to determine if a
triangle with side lengths 6ft.,
6ft., 8ft. is a right triangle.
Answers
Answer:
Not a right triangle
Step-by-step explanation:
[tex] {6}^{2} + {6}^{2} = 36 + 36 = 72...(1) \\ \\ {8}^{2} = 64....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ {6}^{2} + {6}^{2} \neq {8}^{2} \\ \\ [/tex]
Hence, triangle with side lengths 6ft.,
6ft., 8ft. is not a right triangle.
Oliva buys a 5-piece living room set from a furniture store offering 0% interest for 9 months. Calculate the average monthly payment she should make to avoid paying deferred interest charges for the $4,999 set.
A.
$277.72
B.
$416.58
C.
$555.44
D.
$833.17
Answers
The graph of function g has x-intercepts at x = -1 and x = 3 and a y-intercept at y = -3. Select the graph that could model function g.
Answers
Answer: D
Step-by-step explanation:
Pls solve this
A) 16
B) 8
C) 4
D) 2
Answers
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
1) Which property is used in the following ? 4 * (3 + 6) - 4* 3 - 4 x 6
A. Commutative Property
B. Associative Property
C. None of the above
D. Distributive Property
16 ) Which of the following does not show the Commutative Property ?
Answers
i will be back to help you guys
Answers
Answer:
thx u xox ur so sweet
Step-by-step explanation:
Find the sum of (3 – 4i) and (6 + 7i)
Answers
Answer:-(3-4i) and -(6+7i)
Step-by-step explanation: To find the complex conjugate, negate the term with i.
I’m having trouble trying to answer this question what is 68×70 this app it helps you work it gives you answers it’s not a cheating thing I should have said that
Answers
Answer:
4760.
Step-by-step explanation:
68 x 10: 680
680 x 7: 4760
Answer:
4760
Step-by-step explanation:
What is the slope of the line below?
(2, 2)
(1,-1)
A. negative
B. positive
C. Zero
D. undefined
Answers
Step-by-step explanation:
Use the slope formula:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(1-2)
m=(-3)/(-1)
m=3
6. ¿Cuál de los siguientes polígonos tiene el mayor área? A. Un rectángulo que mide 3.25 pulgadas de ancho y 6.1 pulgadas de largo.
B. Un cuadrado con lado de longitud 4.6 pulgadas.
C. Un paralelogramo con una base de 5.875 pulgadas y una altura de 3.5 pulgadas.
D. Un triángulo con una base de 7.18 pulgadas y una altura de 5.4 pulgadas.
Answers
Answer:
1.A
Step-by-step explanation:
yan po ang Tama po ang sagot..ko
Jace measured a line to be 14 inches long. If the actual length of the line is
13.1 inches, then what was the percent error of the measurement, to the
nearest tenth of a percent?
Answers
Answer:
6.87022901%
Step-by-step explanation:
He measured 14 out of 13.1 inches. There is a difference of 0.9 inches when u subtract. He miscalculated by 0.9 out of 13.1. In a calculator you divide .9 by 13.1 you get 0.0687022901. Multiply by 100 to get the percent and round it to your desired decimal place.
Please answer
(Will give brainlst)!!
Answers
Answer:
D
Step-by-step explanation:
Should work i got and 80 on that one
3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look
up at a 50 degree angle to see the top of the arch. How far away from the base of the
arch is she standing?
Answers
x = 630/tan(50°) = 528 ft
Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
What is trigonometry?In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given parameters:
Height of the Gateway Arch in St. Missouri = 630 feet.
Priya have to look up at a 50° angle to see the top of the arch.
Now from definition of tanθ in trigonometry:
tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri
hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷ tan50°
= 630 feet ÷ tan50°
= 528.63 feet.
Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
Learn more about trigonometry here:
https://brainly.com/question/29002217
#SPJ5
V=1/3pir2h h = what ?
Answers
Answer:
(3/1)V=(3/1)(1/3pir^2h) 3V=pir^2h (1/pi)(3V)=(1/pi)(pir^2h) 3V/pi=r^2h (1/r^2)(3V/pi)=(1/r^2)(r^2h) 3V/pir^2=h . Check by plugging (h=3V/pir^2)
Step-by-step explanation:
Estimate. −49100+1021= ________
Answers
Answer:
-48079
Step-by-step explanation:
-(49100-1021)
-48079
1021−49100
Then we use the rule a - b = - (b - a)
-(49100 - 1021)
Then we use the algorithm method (that’s what I prefer)
After a simplification we have,
−(49100−1021) = -48079
Therefore , -49100 + 1021 = - 48079
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
$56.10
Step-by-step explanation:
Answer:
$8.50
Step-by-step explanation:
f(n)=f(n-1)+3; f(1) = 7
Answers
1. To earn some extra money, Ben mows lawns for people in his neighborhood.
He earns $18 per lawn and has saved $200 for the season.
Write an algebraic equation to represent this situation.
Use your equation to determine how much Ben will earn for 21 lawns.
2.Bubba is trying to gain weight. He eats a 400 calorie breakfast each day then eats snacks all day. Each snack is 120 calories.
Write and solve an equation for the number of snacks eaten.
Solve for if bubba consumes 3,160 calories today.
Answers
Answer:
1. 18x+200
If x=21, answer: 578$
2. (3160-400)/ 120=x
x=23
Step-by-step explanation:
Solve the following rational equation for x.
2x-3/5 = x-2/4
Answers
Answer:
x=0.1
Step-by-step explanation:
A scale drawing for a plot of land is shown below.
In the drawing, 3 cm represents 5 m.
Assuming the backyard is rectangular, find the area of the real backyard.
Answers
Answer:
area=150cm square
Step-by-step explanation:
l=3 cm ,b=5m=50cm
area of rectangle=3×50
area=150cm square
Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP.
Answers
Answer:
New amount (decrease) = £17253.53
Step-by-step explanation:
Given the following data;
Amount = £19064.67
Percentage = 9.5%
To find the percentage decrease;
[tex] Percentage \; cost = \frac {9.5}{100} * 19064.67 [/tex]
[tex] Percentage \; cost = 0.095 * 19064.67 [/tex]
Percentage cost = £1811.14
New amount (decrease) = Original amount - percentage cost
Substituting into the equation, we have;
New amount (decrease) = £19064.67 - £1811.14
New amount (decrease) = £17253.53
three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?
Answers
Answer:
i think the answer is 8
Step-by-step explanation:
Answer:(13, 3)
maybe
Hope it helps
4/5x 2 1/3
Simplify and write the steps thanks:)
Answers
PLEASE ANSWER ILL MARK BRAINLIEST ONLY IF YOUR RIGHT
Answers
Answer:
C. (-1,2)
Count where the intersection is.
Go backwards one (-1) on the x-axis, and go up two on the y-axis (2).
Answer:
(-1,2)
Step-by-step explanation:
They intersect on the 1st dash on the x axis
and 2nd dash on the y axis
PLEASE HELP ME 20 POINTS + BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
2 points
4. In 2016, a school started its own aquarium with x fish. In 2019, there
were x^2 fish in the same aquarium. There were 144 fish in 2019. How
many fish were there in 2016? Show your work *
Answers
Answer:
171 fish
Step-by-step explanation:
512/3=170.667 (keeps going on but I just rounded it to add 1 to the total of 170) so that is why 171 is the answer.
A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them.
Required:
Conduct a hypothesis test at the 5% level.
Answers
Answer:
We fail to reject H0
Step-by-step explanation:
Null hypothesis : H0 : Plocal ≤ Pnational
Alternative hypothesis : H1 : Plocal > Pnational
Plocal = P1 = 65/100 = 0.65
Pnational = P2 = 61/100 = 0.61
n1 = 100 ; n2 = 100
Mean, m = P1 - P2 = 0.65 - 0.61 = 0.04
The standard deviation : = sqrt(Variance)
Variance = P1(1 - P1) /n1 + P2(1 - P2) /n2
Variance = 0.65(0.35)/100 + 0.61(0.39)/100
Variance = 0.002275 + 0.002379 = 0.004654
Standard deviation (s) = √(0.004654) = 0.06822
Z = m/s = 0.04 / 0.06822 = 0.586
Using the p-value from Z score calculator :
Hence, Pvalue for a Zscore 0.586 at 5% = 0.278938
Since ;
P-value is > α ; 0.278938 > 0.05
Then we fail to reject H0
Can you please help me understand this question please?
Answers
Answer:
B
u just subsitute in each inequality form and so u will find the only one that is right is letter b
-4 is x
-2 is y