Answer:
We can see that:
a₀ = 4
a₁ = 4/3
a₂ = 4/9.
We easily can see that the n-th therm of this will be:
aₙ = 4/3^n.
Now, the denominator increases as n increases, then for a really large n, aₙ will tend asymptotically to zero. This means that this summation converges.
We can write this summation as:
4*∑(1/3)^n.
The sum for the first N-th therms is:
We know that for a summation:
1 + r + r^2 + r^3 + ... + r^N = (1 - r^(N + 1))/(1 - r)
4 + 4*(1/3) + 4*(1/3)^2 + ... + 4*(1/3)^N = 4*( 1 - (1/3)^(N + 1))/(1 - (1/3))
Now, for the complete sum we have that:
n = {0, 1, 2, ...}
We know that for a summation:
∑a*r^n
with n = {0, 1, ...}
the sum is = a/(1 + r).
in this case we have:
a = 4, r = 1/3.
Then the sum is:
S = 4/(1 - 1/3) = 4/(2/3) = 3*2 = 6
If 5/9 of a tank can be filled in 2minutes , how many minutes will it take to fill the whole tank?
Answer:
4 1/2 minutes
Step-by-step explanation:
.
3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.
Answer:
4,963.85
Step-by-step explanation:
Write 82/1000 as a decimal
Answer: 0.082
Step-by-step explanation: Two Ways: Divide 82.000 by 1000 which equals to 0.082. OR Write 82 and then move the decimal 2 spots to the left, so that it turns into 0.082.
How many proportional relationships are shown in the coordinate plane below? Please answer quick i will give 35 points
Answer:
its not zero i check and got in incorrect the correct answer is 1
Step-by-step explanation:
Answer:
The answer is B) There is one proportional relationship
Step-by-step explanation:
The green line (the one at the top) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.
Reason: It goes through 0,0
----------------------------------------------------------------------------------------------------------------
The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
answer this for 40 points :D
Answer:
I wish I knew . I have a question for you. wait nah... Thanks for the points my mate ... sorry about it . I need points .
Step-by-step explanation:
friend me if you want :)
Answer:
this is not 40 points its 20 ?
Step-by-step explanation:
While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hot dogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hot dogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hot dogs.
Answer:
2.35 hamburgers
Step-by-step explanation:
H6.25 + H18.75 = 58.75
The length of a table is 110 cm to the nearest cm
Write down the error interval using inequalities.
10 points for right answer
Answer: they didn’t give the exact answer.
Step-by-step explanation: they rounded to the nearest.
A regular hexagon is rotated about its center. By which angle could the hexagon be rotated so that it is mapped onto itself?
30°
45°
600
90°
Previous
Answer: 60
Step-by-step explanation:
Sammie bought just enough fencing to border either a rectangular plot or a square plot,
shown. The perimeters of the plots are the same. How many feet of fencing did she buy?
(3x + 6) feet.
———————
| |
| | (x - 1) feet
|__________|
(x + 6) feet
___________
| |
| |
| | (x + 6) feet
| |
|__________ |
Sammie bought____feet of fencing.
Answer:
3.5 feet
Step-by-step explanation:
The question isn't formatted properly.
We have:
(x + 6) feet on each side of the square
(3x + 6) feet horizontally on the rectangle
(x - 1) feet vertically on the rectangular
First, we need to determine the perimeter of the square:
[tex]Perimeter = 4 * Length[/tex]
[tex]Perimeter = 4 * (x + 6)[/tex]
[tex]Perimeter = 4x + 24[/tex]
Next, we determine the perimeter of the rectangle
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(3x + 6 + x - 1)[/tex]
[tex]Perimeter = 2(3x + x+ 6 - 1)[/tex]
[tex]Perimeter = 2(4x+ 5)[/tex]
[tex]Perimeter = 8x+ 10[/tex]
Equate both perimeters:
[tex]8x + 10 = 4x + 24[/tex]
Collect Like Terms
[tex]8x - 4x = 24 - 10[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour.
Who runs faster? Use the drop-down menu to show your answer.
Answer:
Ava
Step-by-step explanation:
because we multiply by 3 miles, 50 minutes, 0.83
and you get 124.5
its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25
sorry if wrong! hope this helps!
what is similar to the word antonym
A. a like
B.diffrent
C.slimmy
D.get ride of
Answer:B.
Step-by-step explanation: cuz antonym is technically the same thing as different, except different can be used for much more items and thoughts.
PLEASE HELP
What is (-i)^5
Answer:
-i
Step-by-step explanation:
hope this helps my fellow friend.
Answer:
D) i
Step-by-step explanation:
Marking Braniest!!! What is 100÷4÷4÷4
Answer:
1.5625
Step-by-step explanation:
100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625
Answer:
1.5625
This is what I think is the answer
Find A and C,Laws of sines and cosines
Answer:
[tex]AC=15.9976[/tex]
Step-by-step explanation:
Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
Step 1: Define
a = 8 ft
A = 30°
b = ?
B = 89°
Step 2: Substitute and Evaluate
[tex]\frac{sin(30)}{8} =\frac{sin(89)}{b}[/tex]
[tex]bsin(30)=8sin(89)[/tex]
[tex]b=\frac{8sin(89)}{sin(30)}[/tex]
[tex]b=16cos(1)[/tex]
[tex]b=15.9976[/tex]
[tex]AC=15.9976[/tex]
SOMEONE HELP WITH MY LAST TWO PROBLEMS
Answer:
What are your last 2 problems m8
Step-by-step explanation:
I need help with this and can you explain how to do it?
3(2y + 3) + y
Answer:
7y + 9
Step-by-step explanation:
Given expression:
3(2y + 3) + y;
To solve this problem, apply PEMDAS;
P = parentheses
E = exponent
M = multiplication
D = division
A = addition
S = subtraction
3(2y + 3) + y;
Start solving from the parentheses by applying the distributive property;
6y + 9 + y
= 7y + 9
14. Three years ago, Kyaw Kyaw was thrice as old as his
sister Zin Zin. After three years
Kyaw Kyaw will be twice as old as Zin Zin. What is the present age of Zin Zin?
Answer: Just a question what was the present age of Zin Zin three years ago will really help?? Thank You
Step-by-step explanation:
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
Find the equation of the line in slope-intercept form. f Slope is 2/3 through (3, 4)
Answer:
y=2/3x+2
Step-by-step explanation:
Island Water Sports provides rental equipment and instruction for a variety of water sports in a resort town. On one morning, a decision must be made on how many Wildlife Raft Trips and how many Group Sailing Lessons should be scheduled. Each Wildlife Raft Trip requires one captain and one crew person and can accommodate six passengers. The revenue per raft trip is $120. Ten rafts are available, and at least 30 people are on the list for reservations this morning. Each Group Sailing Lesson requires one captain and two crew people for instruction. Two boats are needed for each group. Four students form each group. There are 12 sailboats available, and at least 20 people are on the list for sailing instruction this morning. The revenue per group sailing lesson is $160. The company has 12 captains and 18 crew available this morning. The company would like to maximize the number of customers served while generating at least $1800 in revenue and honoring all reservations. Define the decision variables as follows and formulate the problem as a linear program. Let x be the number of Wildlife raft Trips to be scheduled. Let y be the number of Group Sailing Lessons to be scheduled.
The following constraints complete the problem:
120x + 160y ≥ 1800 (1)
x ≤ 10 (2)
2y ≤ 12 (3)
6x ≥ 30 (4)
4y ≥ 20 (5)
x + y ≤ 12 (6)
x + 2y ≤ 18 (7)
1) What does constraint (1) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
2) What does constraint (4) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
3) What does constraint (6) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
Answer:
1) C
2) F
3) A
Step-by-step explanation:
Given that : X = number of Wildlife raft Trips to be scheduled.
while Y = number of Group Sailing Lessons to be scheduled.
1) Constraint (1) : 120x + 160y ≥ 1800
Represents the Minimum revenue requirement
2) Constraint (4) : 6x ≥ 30
Represents The demand of raft trips that must be satisfied.
3) Constraint (6) : x + y ≤ 12
Represents The maximum number of captions who can be deployed.
the set
of whole number less than 20
Answer:
maybe 3, 6, 9, 12, 15, 18?
Step-by-step explanation:
sorry if this doesn't help but I hope someone else can help you! good luck
Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28
Answer:
espera y termino y te ayudo vale que me falta poco vale
Determine whether y^2=−3x−2 is a function.
Answer:
y=3x-2 is a function because it passes the vertical line test.
Step-by-step explanation:
The given equation y² = - 3x - 2 represents a function.
What is a function?A function is the relation between two sets. The first one is called domain and the second one is called range.
Given, y² = - 3x - 2
For x = 0, y = √(- 3 × 0 - 2) = √(-2)
For x = 1, y = √(- 3 × 1 - 2) = √(-5)
For x = -1, y = √[- 3 × (- 1) - 2) = ± 1
For any value of 'x' in the domain, 'y' has at least a value in the range.
Hence, the given equation represents a function.
Learn more about a function here: brainly.com/question/3951330
#SPJ3
Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard
Answer:
$90 left after 20 days
Step-by-step explanation:
She starts out with 150, right?
She spends $3 each day x 20 days = 60
150 - 60 = 90
Hope this helps! :')
Answer:
multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars
-5(2x+9)? simplify the expressions by disturbing the negatives and combining like terms
Answer:
-10x-45
Step-by-step explanation:
If two lines meet and form right angles, then
Answer:
Perpendicular
Step-by-step explanation:
If two lines meet and form right angles, then they are perpendicular.
A total of 443 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer
386
Step-by-step explanation:
Do the math 443-57
What is the answer to this problem
Answer:
All of the above
Step-by-step explanation:
The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).
Answer:
this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong
Step-by-step explanation:
what is the value of x in the figure Pls help
Answer: x=18
im assuming that this is a right angle
so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.
so x=18