Answer:
Below in bold.
Step-by-step explanation:
1/t + 3/t + 5/t + ...+ t-1/t
This is an arithmetic series in which the common difference is 2/t.
a) The number of terms = [ (last term - first term) / common difference] + 1
= [(t-1)/t - 1/t) / 2/t] + 1
= (t - 2)/t * t/2 + 1
= (t -2)/2 + 1
= (t-2) / 2 + 2/2
= t/2.
b). Sum of the series (n/2)(a + l) where a = first term , n = number of terms and l = last term, so
Sum = (t/2)/2 ( 1/t + (t-1)/t)
= t/4 * 1
= t/4.
c). (1/4+3/4 )+ (1/6+3/6+5/6 )+( 1/8+3/8+5/8+7/8) +...+(1/50+3/50+5/50+49/50)
Using the results from a) and b):
The sum = 4/4 + 6/4 + 8/4 + ......+ 50/4.
= 1 + 1.5 + 2 +...... + 12.5
This is an AS with common difference = 0.5,
Number of terms = [(12.5 -1) / 0.5] + 1
= 23 + 1
= 24, so
Sum = (24/2)(1 + 12.5)
= 12 * 13.5
= 162.
The number of terms is t/2, and the sum of the series is 1/2 - (t - 2)/4
What is an arithmetic sequence?
In an arithmetic sequence, the common difference is the difference between successive terms.
a) From the sequence:
a = 1/t; d = (3/t) - (1/t) = 2/t
The number of terms is:
(t - 1)/t = 1/t + (n - 1)(2/t)
t - 1 = 1 + 2(n - 1)
t = 2n
n = t/2
b) The sum of the series is:
S = (n/2)[2a + (n - 1)d]
S = (t/2/2)[2(1/t) + (t/2 - 1)(2/t)]
S = (t/4)[2/t - (t - 2)/t]
S = 1/2 - (t - 2)/4
The number of terms is t/2, and the sum of the series is 1/2 - (t - 2)/4
Find out more on arithmetic sequence at: https://brainly.com/question/6561461
BRAINLIEST
Plot the following co-ordinates and find the fourth point D to make a square A (-1,3) B (1,-1) C(5,1).
Once you have found the missing coordinate use pythagoras to calculate the length of the sides.
Answer:
Next coordinate is (-1,-3)
Step-by-step explanation:
draw a graph in graph paper and mark all coordinates
In order to solve an equation like `1.77x=52` I would.....
(Include steps plz)
Answer:
Divide each term by 1.77 and simplify.
52/1.77
Move the seven underneath the 52 and leave the x on one side.
x = 29.37853107
Step-by-step explanation:
x3 - 3x^2- 54x + 112
Answer:
(x -2) (x- 8) (x+7)
Step-by-step explanation:
Alison has a goal of saving $50. She has saved $31 so far. What percentage of her goal has she saved?
Answer:
62%
Step-by-step explanation:
Identify each graph as being a non-linear function, linear function, or not a function.
Explain your choices.
Graph A
Graph B
Graph C
3
3
2
4 +
2
I
1
3
1+
2+
++
2 3 x
-3 -2
-2
-1
1
1
2 3 3
1+
TS
-1
-1
1
Graph B is the answer
nd carefully click on the appropriate answer choice. It will mark the answer with a blue dot. (It will look like a target)
1. A rectangle made of square tiles measures 8 tiles long and 5 tiles wide.
What is the length of a similar rectangle whose width is 10 tiles?
A 18 tiles
B 16 tiles
C 14 tiles
D 10 tiles
what is 0.71+0.9 equal too
Answer:
0.71+0.9=1.61 is your answer
0.71 + 0.9
0.9 = 0.90
0.17
+ 0.90
----------
1.61
Someone ppl ease help meeeee. Match them
Answer:
Step-by-step explanation:
2/5 is 0.4
0.75 is 3/4
5/8 is 0.625
0.875 is 7/8
2/5=0.4
0.75=3/4
5/8=0.625
0.875=7/8
how do I do this question
Answer:
(2,11)
Step-by-step explanation:
May someone help, please?
Answer:
A, C, and E are true
how can I solve this problem ?
(x³-2x²-2x+1)(x-1)
x^2(x-2)(-2x+1)(x-1)
how:
(x³-2x²-2x+1)(x-1)
(x^3-2x^2) (-2x+1) (x-1)
x^2(x-2)(-2x+1)(x-1)
YALL PLS HELP which of these choices are equivalent to the quotient below check all that apply square root of 100 over the square root of 20
Answer:
√5, √15/√3, √25/√5
A.
C.
D.
Step-by-step explanation:
A P E X
COUNTING RISE OVER RUN
COUNT THE RISE OVER RUN AND SIMPLIFY IF POSSIBLE TO DETERMINE THE
SLOPE OF CACH LIME. THEN, ORDER YOUR ANSWERS (AND THE LETTER OF THE
GRAPH) FRON GREATEST TO LEAST TO CREATE YOUR CODE WORD.
Answer:
P) slope of 3, L) slope of 1, U) slope of 1/4, and S) slope of -1
Step-by-step explanation: Start at (0,0) and go to your next point
P) its rise 3 and runs 1 slope = 3
S) t rise 1 and runs back 1, slope = -1
U) it rise 1 and runs 4 slope = 1/4
L) its rise 1 and runs 1 slope = 1
Now in order of greatest to least
I NEED HELP ASAP!!!!!
Answer:
3/10
Step-by-step explanation:
28 + 12 = 40 tokens
28 are black 28/40 = 7/10 = 70%
12 are white 12/40 = 3/10 = 30%
Therefore,the most logical answer I see is 3/10.
What is the approximate volume of the cone that is 9 cm in height and 15 cm as a radius use 3.14 for pi
Answer:
2120.58
Step-by-step explanation:
Answer:
The volume of a cone is pi multiplied by the radius squared times the height divided by three.
Step-by-step explanation:
If 3.14 is used for pi:
V = 3.14 * 15^2 (9/3)
= 3.14 * 15^2 (3)
= 3.14 * 225 * 3
= 706.5 * 3
= 2,119.5 cm cubed
If 3.14 is not used for pi:
V = pi * 15^2 (9/3)
= pi * 15^2 (3)
= pi * 225 * 3
= 706.8583470577035 * 3
= 2,120.57504117311 cm cubed
If helpful, please mark as brainliest! =)
HELP I NEED THIS BY TONIGHTTT
Giancarlo wants to buy a new laptop.
• Last week Best Buy had a laptop on sale for $425.00.
• This week the laptops were marked up to $500.00.
Find the percent of increase in the price of the laptops. Round your answer to the tenths place.
HELP ME PLEAS EILL GIVE BRAINLY!!!!!!
Answer:
4
Step-by-step explanation:
point is -2,4
goldennnjoyyy avatar
goldennnjoyyy
Yesterday
Mathematics
High School
(PLEASE HELP GIVING BRAINILEST)
In training for a swim meet, Logan swam 750 meters in 1/3 of an hour. His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4 of an hour.
Fill in the blanks to compare Mila's and Logan’s swimming speeds.
1. What is Logan's average swimming speed? Show your work.
Write your answer in the space below.
2. What is Mila's average swimming speed? Show your work.
Write your answer in the space below.
3. Compare Mila's and Logan’s swimming speeds. You must do something more than just state the speeds. Show your work.
Write your answer in the space below.
Answer:
1. Logan's Average speed is 2.25 kilometers per hour.2. Mila's average swimming speed is 34.44 m/min.3. His average speed was 3 times 750 meters per hour, which is 2250 meter per hour, or 750 OVER 20 = 37.5 meters per minute.Step-by-step explanation:
i hope it helps :)Answer:
See belowStep-by-step explanation:
Speed = distance/time
1. Logan swam 750 meters in 1/3 of an hour
Logan's speed is:
s = 750 : 1/3 = 750*3 = 2250 meters /hour2. Mila swam 2/3 of Logan's distance:
2/3*750 = 500 metersTime is 1/4 of an hourMila's speed is:
s = 500 : 1/4 = 500 * 4 = 2000 meters/hour3. The difference is:
Logan is faster by: 2250 - 2000 = 250 meters/hour
I do not understand this LOL someone help
Answer:
a reflection over the y axis
Step-by-step explanation:
A garden has four sides that are all the same length. Each side measures x+ 4 units. The gardeners perimeter is 112 units. WHat is the value of x
Will mark brainliest for the fastest answer
Answer:
24
Step-by-step explanation:
So basically just do 112 divided by 4 to find the length of each side. Then from there minus that one side by 4 to get what you need x to be to be the length of the one side. One side is 28. Also...
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2-3x=-x-8
^'fusgwowjisbsjwbw
b
Answer:
2-3x=-x-8
+3x+8 both sides
2+8=3x-x
10=2x
/5 both sides
x=5
4 (10-x) = 8x + 4
What is x?
Answer:
3 = x
Step-by-step explanation:
4 (10-x) = 8x + 4
Distribute
40 -4x = 8x+4
Add 4x to each side
40 -4x+4x = 8x+4 +4x
40 = 12x+4
Subtract 4
40 -4 = 12x+4-4
36 = 12x
Divide each side by 12
36/12 = 12x/12
3 = x
19. A cylinder with a radius of 0.28 m and
a length of 7 m is to be replaced with a
cylinder of radius 0.25 m. The volume
must remain the same. How long must
the new cylinder be? Give your answer
to the nearest hundredth of a metre.
Answer:
0.26
Step-by-step explanation:
Answer: Mark me brainliest..
Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D
Please help me with the questions please ASAP please please ASAP ASAP please please help please ASAP please please help please please
I’ll mark you as a brnlist please
Answer:
x=24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
3x+10=x+58
2x=48
x=24
help me ASAP!!!!!! Please
HELP PLS I NEED AN ANSWER FAST
Step-by-step explanation:
[tex]y = a {b}^{x} \\ b = \frac{0.0006}{0.006} = 0.1 \\ a = 6 \\ y =6 \times {0.1}^{x} [/tex]
1. Mr. Gunny deposits $4,900 in a savings account that pays 1.5% interest compounded
quarterly.
A1. Find the first quarter's interest.
A2. Find the first quarter's balance.
C. Find the second quarter's interest
D. Find the second quarter's balance.
E. Find the third quarter's interest.
F. Find the third quarter's balance.
Answer:
a) 18.38
b) 4918.38
c) 18.44
d) 4936.82
e) 18.51
f) 4955.33
Step-by-step explanation:
Given
A [tex]= 4900[/tex]
r [tex]= \frac{1.5}{100} =0.015[/tex]
m [tex]= 4[/tex]
a)
I1
[tex]= 4900 *( 1 +\frac{0.015}{4})^{4 *\frac{3}{12}} -4900\\= 4918.38-4900\\= 18.38[/tex]
b) [tex]4918.38[/tex]
c)
[tex]= 4918.38 *( 1 +\frac{0.015}{4})^{4 *\frac{3}{12}} -4918.38\\= 4936.82-4918.38\\= 18.44[/tex]
d) [tex]4936.82[/tex]
e)
[tex]= 4936.82 *( 1 +\frac{0.015}{4})^{4 *\frac{3}{12}} -4936.82\\= 4955.33-4936.82\\= 18.51[/tex]
f) [tex]4955.33[/tex]
Im such an idiot for not paying attention in class but someone help PLEASE the assignment is due at 3:05 and its 2:50
Answer:
Help with what?
Enrique bought a packing tube to ship a poster to his cousin. If the packing tube had a volume of 1761 cubic centimeters and
an altitude of 11 centimeters, what was the radius of the packing tube?
a.) 16 cm
b.) 12 cm
c.) 7 cm
d.) 4cm
Answer:
r = 7 cm
Step-by-step explanation:
Given that,
Volume of the packing tube, V = 1761 cm²
The altitude of the tube, h = 11 cm
We need to find the radius of the packing tube. The volume of the the cylindrical shaped object is given by :
[tex]V=\pi r^2 h\\\\r^2=\dfrac{V}{\pi h}\\\\r^2=\dfrac{1761}{\pi \times 11}\\\\r=7.13\ cm[/tex]
or
r = 7 cm
So, the radius of the packing tube is 7 cm.
An object is traveling at a steady speed of 8 2/3 miles per hour. How long will it take the object to travel to 5 1/5 miles If the object reduces its speed by `\frac{1}{2}`, what is its speed? If the object reduces its speed by 30%, what is its speed after the reduction?
Answer:
3/5 hour
4 1/3 miles per hour
6 1/15 miles per hour
Step-by-step explanation:
Given that the object is travelling at a steady speed of 8 2/3 miles per hour and covers 5 1/5 miles
Recall that distance = speed * time
hence
5 1/5 miles = 8 2/3 miles per hour * time t
26/5 = 26/3 * t
Multiply both sides by 3/26
26/5 * 3/26 = t
t = 3/5 hour
If the object reduces its speed by 1/2, the new speed
= 1/2 * 8 2/3 miles per hour
= 1/2 * 26/3
= 13/3 miles per hour
= 4 1/3 miles per hour
If the object reduces its speed by 30%, the new speed
= 8 2/3 miles per hour - 30% * 8 2/3 miles per hour
= 0.7 * 8 2/3 miles per hour
= 7/10 * 26/3
= 91/15
= 6 1/15 miles per hour