Answers
[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \frac{1}{n}}} [/tex]
Step-by-step explanation:A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,
[tex]\boxed{\boxed{\blue{\qquad\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}}}}[/tex]
When we flip the numbers , we can clearly see that the number are in Harmonic Progression.
That is when we flip the numbers they are found to be in Arithmetic Progression .
And nth term of an Harmonic Progression is :-
[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}} [/tex]
Hence here
Common difference = 1First term = 1 .Substituting the respective values,
[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]
Hence the nth term of the given sequence is given by ¹/n .Related Questions
Evaluate the expression if p = 1,1=-7, and s= -2.
-3p-21
6+4s
Plzz hurry!!
Answers
To solve this all you have to do is use substitution.
6x-8y-x+3y please this is hard
Answers
6x-8y-x+3y
= (6x-x)+(-8y+3y)
= 5x+(-5y)
=5x-5y
Answer:
5x-5y
Step-by-step explanation:
Equation;
6x-8y-x+3y(Group like terms)
Which is going to be;
6x-x-8y+3y
Then you proceed to simplify;
5x-5y
This is the final answer
At a fundraiser, a school group charges $6 for tickets for a "grab bag." You choose one bill at random from a bag that contains 39 $1 bills, 19 $5 bills, 3 $10 bills, 7 $20 bills, and 3 $100 bills. Is it likely that you will win enough to pay for your ticket?
Answers
Answer:
no, the probability is only about 18%
Step-by-step explanation:
there are total of 71 bills of varying denominations in the bag
you need to select a bill that is $10 or more to cover your $6 expense; therefore, P($ ≥ 10) = 3 + 7 + 3 / 71 or 13 /71, about 18%
PLEASE HELP!! WILL MARK BRAINLIEST!!!!
Answers
Answer:
Choice A (-18.75 or -75/4)
Identifying the Rate of Change
Warm-Up
Which statements are correct? Check all that apply.
The graph shows the linear relationship between the
height of a plant (in centimeters) and the time in
weeks) that the plant has been growing.
The rate of change is 4.
The rate of change is 1.
24
y
20
The rate of change is 4.
16
Height (cm)
The plant grows 4 cm in 1 week.
o me plant grows 1 cm in 4 weeks.
12
Time (weeks)
Answers
Answer:
Data collected shows that the more you water, the larger your plant will grow. If you use the following Equation, y = 1/2x + 2 How tall will a plant be at 25 weeks if x is the number of weeks watered and y represents the height of the plant? Show your work.
Step-by-step explanation:
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 10 ÷ 5 and 5 ÷ 10
Answers
Answer:
no, its not equivalent
Step-by-step explanation:
10/5= 2
5/10=0.5
what information is necessary to prove two triangles are similar by SAS similarity thereom?
Answers
Answer:
two sides and an angle of the triangle should be equal
1.8 to 1 decimal place
Answers
Step-by-step explanation:
1.8
8 is 1 decimal place
1./8
8 > 5
1 change to 2
2.0
What is the measure of XYZ?
Answers
Which statements are true? Select all that apply.
A. m∠WZX = 34°
B. m∠WXY = 123°
C. m∠XYZ = 46°
D. m∠WPZ = 90°
Answers
Answer:
C. and D.
Step-by-step explanation:
C.) Angle sum property, as XY = ZY
Convert 40.64 centimeters to inches.
1 Inch = 2.54 centimeters
PLS HELP!!!
Answers
Which is the coefficient in the expression 7pie+ 142
Answers
Answer:
7pie
Step-by-step explanation:
Solve. y −3 = 1 6 y =
Answers
Step-by-step explanation:
y - 3 = 16y original problem
y - 3 - y = 16y - y grouping variables
-3 = 15y Simplification
-3÷15 = 15y÷15 Isolating the variable
-1/5 = y the answer
I hope this helps!!!!!!
Mariah drank 2/3 cup of orange juice. A serving size of is 5/6 cup. What part of a serving did she drink?
Answers
Answer:
80% of a serving
Step-by-step explanation:
First, convert 2/3 into 6ths
2/3 = 4/6
She drank 4 of 5 6ths
This is 80% of a serving
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The length of A B is 8, the length of B C is 5, and the length of B D is 15.
What is the value of s
Answers
Answer:
17 units
Step-by-step explanation:
just took the quiz
Answer:
17 units.
Step-by-step explanation:
Hope it helps!!!
A total of 559 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student tickets than adult tickets. How many adult tickets were sold?
Answers
Answer: The answer is 500 hope this helps!
Step-by-step explanation:
A method for solving 5(x - 2) = 10 is shown below. Which step shows
distributive property?
A. 5x+2=10
B.5x-2=10
C.5x+10=10
D.5x-10=10
Answers
Answer:
D
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
Answers
Answer:
12% increase
Step-by-step explanation:
Divide the difference between the two prices by the original price:
1.05/8.95
= 0.12
So, the percent change is 12%
can yall help me with this one
Answers
Answer:
The answer for the dropdown section in x section is 5 and the answer for the dropdown section in the y section is 75
Step-by-step explanation:
Answer:
2 Pumpkins / 15 Dollars
5 Pumpkins / 37.5 Dollars
10 Pumpkins / 75 Dollars
Step-by-step explanation:
2 pumpkins for 15 dollars
that is what we have to work with here
the first step would probably be to figure out how much one pumpkin is, so we should divide the amount that we spent by the amount of pumkins that we got, which would look like
15 / 2 = 7.5
so 1 pumpkin = 7.5 dollars
now, to figure out how many pumpkins you can buy with 37.5 dollars, you would divide the amount of money spent by the amount that each pumpkin costs, which turns out to be
37.5 / 7.5 = 5
Now, to figure out how much money you would need for 10 pumpkins, you would multiply the number of pumpkins by the cost of a single pumpkin, which ends up being
10 x 7.5 = 75
8 x 6 = (4 x 6) (__x 6)
= 24 + __
=
Answers
Answer:
8x6= (4x6) + (4x6)
= 24+24
= 48
Step-by-step explanation:
Hope this helps :)
Answer:
8×6=48
4×6=24 and 24×2=48
So I'm guessing 4,24,48
Which expression doe
11/15-1/6
Answers
Answer:
Exact Form:
17/30
Decimal Form:
0.56
Step-by-step explanation:
Answer:
0.56 i think
Step-by-step explanation:
pls help i’m not good at this lol
Answers
Answer:
You selected the right one, 12^5 :)
A customer bought 8.5 pounds of apples from a local produce market. If 1 pound = 16 ounces, how many ounces of apples did
the customer buy?
112 ounces
112 ounces
128 ounces
128 ounces
120 ounces
120 ounces
136 ounces
136 ounces
Answers
Answer:
136 ounces
Step-by-step explanation:
8.5*16=136
So 136 ounces
Please help me solve this and please also show work so I can understand it BETTER PLEASEEE ITS DUE
Answers
Answer:
6. 8b²-5b-4
7. -3x²+9x-4
8. 3
9. 6a+15
Step-by-step explanation:
you will subtract/add the numbers with the same variables and exponent.
ex. (number 6) 7b²+ b²= 8b²
5b= 5b 8b²+5b-4
1-5= -4
(plus 5b because it didnt come out to a negative) if you have any questions, say in the comments and ill try my best to help
The function V(x)=650(0.77)^x models the change in yearly value for Anya's cellphone. What was the original value of the cellphone? Does the function represent exponential growth or exponential decay?
Answers
Answer: ↓↓
Step-by-step explanation:
The original value of the cellphone is $650. The function represents an exponential decay because if it was exponential growth, the function would look like this:
[tex]V (x) = 650 (1.77)^{x}[/tex]
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.
Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready?
Let x represent the maximum and minimum time.
|x−15|=25
|x+15|=25
|x+25|=15
|x−25|=15
Answers
Answer:
x-25=15 or D
Step-by-step explanation:
I promise that is the answer
please help me on this.
Answers
Answer:
here
Step-by-step explanation:
so most of the time it would land on brown only 5% of the time would it land on red and the other there is a 0% chance
State the equation of the line which has the y-intercept :
a) 2 and slope 7 .
b) -1 and is parallel to y= 5x - 7.
c) 2 and is inclined at 45 degree to the x- axis.
Answers
Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
3.
%.
Paul says that the grids show 150%.
Rebecca says that they show 75%
How could each be correct?
Answers
9514 1404 393
Answer:
Paul is using 1 grid = 100%; Rebecca is using 2 grids = 100%
Step-by-step explanation:
We assume that a full grid and half of another are shaded.
If 1 grid is taken to be 100%, then the total amount shaded is 100% +50% = 150%, as Paul says.
__
If the two full grids are taken to be 100%, then the full shaded grid is 50% of the total, and the additional half-shaded grid is 25% of the total. That makes a total of 50% +25% = 75% of the total being shaded, as Rebecca says.
Line 1: 4x-6y= -6 Line 2: -3y=2x+5 Line 3: y= -3/2x-5 Are line 1 and 2: parallel, perpendicular, or neither? Are line 1 and 3: parallel, perpendicular, or neither? Are line 2 and 3: parallel, perpendicular, or neither?
Answers
Answer:
Line 1 and line 2 are neither parallel nor perpendicular
Line 1 and 3 are perpendicular to each other
Line 2 and line 3 are neither parallel nor perpendicular
Step-by-step explanation
Given the equations of the line
Line 1: 4x-6y= -6
Line 2: -3y=2x+5
Line 3: y= -3/2x-5
Before we can know which line is parallel or perpendicular to each other, we need to find their slope first
For line 1:
4x-6y= -6
Write in standard form y = mx+c
-6y = -4x - 6
Divide through by -6
-6y/-6 = -4x/-6 - 6/-6
y = 2/3 x + 1
The slope of line 1 is 2/3
For line 2:
-3y=2x+5
Divide through by -3
-3y/-3 =2x/-3 + 5/-3
y = -2/3 x - 5/3
The slope of this line is -2/3
For line 3:
y= -3/2x-5
this is already written in standard format. The slope of this line is -3/2
Note that for two lines to be parallel, they must have the same slope
For two lines to be perpendicular, the product of their slope must be -1
For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.
For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular