Answer:
The 2020th term is 3
Step-by-step explanation:
Recursive Sequence
We are given a recursive and conditional sequence where each term depends on two previous terms and a rule.
Each term is the sum of the two previous terms. But if that sum exceeds 8, then 8 is subtracted.
The first terms are, therefore:
1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, 1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, ....
Note the sequence repeats itself at term 13, that is:
a13=a1, a14=a2, a15=a3 and so on.
To find any given term, it's just a matter of calculating the remainder of that number of the term divided by 12.
For example, the term number 100 is calculated by dividing 100/12=8 (only the integer part).
Since 8*12=96, the remainder is 100-96=4
Thus, a100=a4=3
The term 2020 is calculated now:
2020/12 = 168 (integer only)
168*12=2016
The remainder is 2020-2016=4, thus
a2020 = a4 = 3
The 2020th term is 3
Find the missing slant height
Answer:
[tex]\ell=\frac{77}{4}[/tex]
Step-by-step explanation:
Because these two cones are similar, we can set up the following proportion:
[tex]\frac{11}{4}=\frac{\ell}{7}[/tex]
Solving, we get:
[tex]\ell=\frac{7\cdot11}{4},\\\ell=\fbox{$\frac{77}{4}$}[/tex].
????????????????????
Answer:
180 - y
Step-by-step explanation:
The exterior angle is equal to 180 minus the interior angle.
Answer:
The total angle a triangle have is 180
so now subtract it by 50
180-50 = 130
and the other angle we get is by subtracting 180-92 which is 88
y=88 degree
now x=180-(88+50)
=42
so x=42
HELP I HAVE TILL 12 AND IRS IN 20 MINUTES
find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2)
Answer:
2x^2yz + 3xy^3z - 3xyz^3
Step-by-step explanation:
First you must distribute:
xyz(2x) + xyz(3y^2) + xyz(-3z^2)
Then simplify:
2xyxx + 3xyzy^2 - 3xyz * z^2
And finally simplify each term:
2x^2yz + 3xy^3z - 3xyz^3
What is the probability of the complement of spinning an even number by using the spinner below?
A spinner is split into 8 equal parts labeled 1, 2, 3, 4, 1, 2, 3, 5.
StartFraction 3 over 8 EndFraction
One-half
StartFraction 5 over 8 EndFraction
StartFraction 7 over 8 EndFraction
Answer:
C
Step-by-step explanation:
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf
Answer:
2x + 7= 4x + 17
7=2x+17
-10=2x
-10/2=2x/2
x=−5
f(x)=3x-5 please help :>
Answer:
x= 5/3?????
Step-by-step explanation:
try using math
way
Solve the following inequality:
2. 4x + 6 < 38
Answer- x<8
Solutions
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
4*x+6-(38)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x - 32 = 4 • (x - 8)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 4
Solve Basic Inequality :
2.2 Add 8 to both sides
x < 8
wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month?
Answer:
59
Step-by-step explanation:
1) so you start with the mean being 72x5=360
2)100+42+87+66=295
3) 360-295=65
(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help
pression
Evaluate the expression -0.4(3x - 2) + 2 + 4 for x=4
Answer:
2
Step-by-step explanation:
In this question, we will have to solve the expression with our given variable.
Plug in 4 to x and solve:
-0.4(3(4) - 2) + 2 + 4
-0.4(12 - 2) + 2 + 4
-0.4(10) + 2 + 4
Evaluate -0.4(10):
-4 + 2 + 4
-2 + 4
2
Your final answer would be 2.
plzzz guys help I'm so confused
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 4.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answer:
y = 320,000 ( 1.048 ) ^x
x = number of years
(the ^ before the x symbolizes "to the power of," but I can't do that on my keyboard)
Step-by-step explanation:
formula i used:
A = amount that you start with
t = amount of years / time
%increase: you must convert your percent (4.8%) to a decimal (0.048)
A ( 1 + %increase ) ^t
Answer:
y = 320,000(1.048)^t
Step-by-step explanation:
4.8% = 0.048.
The population grows by 1.048 per year.
The required equation is:
y = 320,000(1.048)^t
The following points are dilated at a center at point C by each of the following scale factors.
Plot and label the image points.
(a) A is dilated by a scale factor of 3.
(b) B is dilated by a scale factor of 2.
(b)D is dilated by a scale factor of 1 1/3
(d) E is dilated by a scale factor of 0.5.
Answer:
(a) A is dilated by a scale factor of 3.
Step-by-step explanation:
where the imagine
can you find the coordinates for K’
pls thank you
Answer: (3, 7)
Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)
Have a nice day! :)
What is the sum of an even number plus an odd number? please explain in detail only please, everyone is saying its always odd, others are saying its always even, shouldn't it be both I mean jesus
Answer:
The sum of an even number plus an odd number is odd.
Step-by-step explanation:
The sum of an even number and an odd number is odd.
For example:
2+3=5
11+10=21
51+32=83
The end digit of an even number is always 0, 2, 4, 6, or 8
The end digit of an odd number is 1, 3, 5, 7, or 9.
So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).
Hence, the sum of an even number plus an odd number is odd.
help me or dont lol but please help me
What is the sum or difference of 10 + (-11) + 5 + (-5)?
Answer:
-1 is the answer
Step-by-step explanation:
Answer: -1
Step-by-step explanation:
10 + (-11) + 5 + (-5)
=10 - 11 + 5 - 5
=10 - 11
= -1
hope this help, if this don't forget to click the " thanks" button! :)
i need help with this !!!!
How can i get an equation that shows the relationship below Plz its for a test for tomorrow X. Y. -2. -6 -1. -3 0. 0 1. 3 2. 6
Answer:
x = 3y
Step-by-step explanation:
In tabular form, the variables are given as;
x y
-2 -6
-1 -3
0 0
1 3
2 6
To determine relationships between variables, you observe the numbers and note how they change
In the first instance, the number; -2 changed to -6. This means it was multiplied by 3.
To confirm it, we check the next set of numbers, -1 and -3. This means it is correct.
The equation showing the relationship between both variables is given as;
x = 3y
Six rolls of fabric are used for making five dresses equally.
How much fabric is used for each dress?
Answer:
1.2 rolls
Step-by-step explanation:
6 rolls=5 dresses
1.2 rolls =1 dress
hope i helped:)
Evan ran for 28 minutes. Seth ran for 'y' minutes. Evan ran twice as long as Seth. How long did Seth run?
A 28 minutes
B 56 minutes
C 14 minutes
D 30 minutes
Answer:
14 just divide 28 ÷ 2.....
Find the value of 42 + 6 ÷ 2
Answer:
The answer isn't 24 the actual answer is 54.
Step-by-step explanation:
PEMDAS!
Please please help me!!!!
9514 1404 393
Answer:
yy+8y-2Step-by-step explanation:
We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...
volume = y(y² +6y -16)
Now, we're looking for factors of -16 that have a sum of +6.
-16 = (-1)(16 = (-2)(8) = (-4)(4)
The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...
volume = y(y -2)(y +8)
The possible dimensions are y-2, y, and y+8.
Graph y = 3/4x + 2
Im cray-zee for not knowing this lol
Answer:
*give credit to Desmos
Step-by-step explanation:
What is the equation of the line that passes through the points 1/2/3 and (-1,-1
a.y=-6x+5
b.Y=5/6X-1/6
C.Y=2/3X+1/5
D.y=6/5x+1/5
Answer:
(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1
(-1 - 2/3) / (-1 -1) (answer both sides of the division side)
-5/3 / -2 (divide)
slope = 5/6 (the slope)
plug in values you know into point-slope form (y -y1) = m(x-x1)
y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )
y +1 = 5/6 (x +1) (use the distributive property)
y +1 = 5/6x+5/6 (subtract 1 from both sides)
y = 5/6x - 1/6 or B (this is the equation)
Step-by-step explanation:
I hope this helped :))
A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days
9514 1404 393
Answer:
60 inches
Step-by-step explanation:
The total amount of rain received was ...
(2 in/day)(3 day) = 6 in
The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...
(6 in rain) × (10 in snow)/(1 in rain) = 60 in snow
The city would have received 60 inches of snow.
2/7 (14 h + 7/2) - 3h = 9
PLEASE HELP ME.. I HAVE THIS DUE TODAY
Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.
Answer:
She can order 4 computer games.
Step-by-step explanation:
110-10=100
100÷25=4
please help im so lost lol
Answer:
B, C, and E
Step-by-step explanation:
6(x+4)+35
B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)
C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)
E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)
Answer:
I Honestly Dont Know Sorry haahahhahaha Go F ur self
Step-by-step explanation:
Find the value of w°
Answer:
w = 59
Step-by-step explanation:
90 + 31 +w = 180
121 +w = 180
w = 180 - 121
w = 59
2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson's weight after
m months.
b. After how many months will Mr. Thompson reach his goal
weight of 220 pounds?
a. w = -4m + 260
b. 10 months