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
Allen is 5 years older than Cassandra. In 4 years, he will be twice as old as Cassandra was 2 years ago. Find their ages.
Answer:
C = 13, A = 18
Step-by-step explanation:
A = 5 + C
A + 4 = 2(c-2)
5+c+4 = 2c - 4
9 + c = 2c - 4
c = 2c - 13
-1c = -13
c = 13
A = 5 + 13
A = 18
Help me please djdjdd
Answer:
-1 < x ≤ 3
Step-by-step explanation:
First, we need to simplify this inequality.
9 > -5x + 4 ≥ -11 (Given)
5 > -5x ≥ -15 (Subtract 4 on both sides)
-1 < x ≤ 3 (Divide -5 on both sides)
Note that the signs flip due to dividing by a negative number.
Answer:
[tex]-1<x\leq3[/tex]
Step-by-step explanation:
Let's take two equations from this and them put them back together! So:
9>-5x+4
and
[tex]-5x+4\geq -11[/tex]
For the first one:
9>-5x+4
Subtract 4 from both sides
5>-5x
Then divide by -5 (Remember to change the direction of the sign!):
-1<x
Now onto the second one:
[tex]-5x+4\geq -11[/tex]
Subtract 4 from both sides:a
[tex]-5x\geq -15[/tex]
Then divide by -5 (Remember to change the direction of the sign!):
[tex]x\leq 3[/tex]
Now add the equations back together:
[tex]-1<x\leq3[/tex]
ASAP
{(-6, 4), (5,-1), (0, 3), (-2,4)}
a. Domain=
b. Range =
c. Function=
Answer:
domain=-6,5,0,-2
range=4,-1,3,4
Step-by-step explanation:
u gotta ask function to someone else sry
at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm
Answer:
18 feet
Step-by-step explanation:
60 mins an hour
5 mins + 6 inches
60/5=12
12*6 = 72
12 feet +72 inches
72 inches = 6 feet
18 feet
Mr Paul bought 2 bags of fertilizer at $75 a bag,a wheelbarrow for $350 and 3 spades at $130 a spade.he paid $1000 to the cashier how much change did he receive plz explain
Answer:
$110
Step-by-step explanation:
1000-75-75-350-130-130-130=$110 in change
When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.
Answer:
force of gravity on the ball
Step-by-step explanation:
when you throw something up it will come down
– 2y – 10 = x
- 10x - y = -14
Answer:
hey there guys ^^
Step-by-step explanation:
If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?
hope it will help you..........
Mrs. Russell bought a computer for $250. The tax was 7%. What was the total cost of the computer with tax?
Answer:
$267.5
Step-by-step explanation:
7% of 250=17.5. 250+17.5=267.5
Answer:
267.5
Step-by-step explanation:
250+7%=267.5
Hope this helps :)
-. The ratio of boys to girls at a birthday party is
4:5. If there are 35 girls, how many boys are
there?
Answer:
28
Step-by-step explanation:
The 5 part of the ratio represents 35 girls , then
35 ÷ 5 = 7 ← value of 1 part of the ratio, then
4 parts = 4 × 7 = 28 ← number of boys
Answer:
28 boys
Step-by-step explanation:
4*35=140
140/5=28
so 28 boys
Find the surface area of the prism (no unit)
Answer:
1464
Step-by-step explanation:
16*22*2=704
10*16*2=320
10*22*2=440
704+320+440 = 1464
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
*lilybaker49's work was used - credit goes to her
What’s the answer for this?
Answer:
[tex] {y}^{3} [/tex]Step-by-step explanation:
[tex]2 {y}^{3} - {y}^{3} [/tex]
[tex] {y}^{3} \: (collect \: like \: terms)[/tex]
i don't understand. May you help?
Answer:
Step-by-step explanation:
Function rule:
y = 10(0.95)ˣ
If a function is given as,
y = a(b)ˣ
a represents 'Initial value'
b represents the growth factor
If 0 < b < 1, function is a decay function.
If b > 1, function is a growth function.
For 2 = 10(0.95)ˣ,
Here, b = 0.95 which is in the interval of 0 < 0.95 < 1
So it's a decay function.
[tex]\frac{2}{10}=(0.95)^x[/tex]
log(0.2) = log[(0.95)ˣ]
log(0.2) = x[log(0.95)]
-0.6989 = -x(0.0223)
x = 31.44
x ≈ 31
Meaning → For 'x' = 31, value of the function is 2.
For 8 = 10(0.95)ˣ,
0.8 = (0.95)ˣ
log(0.8) = log(0.95ˣ)
log(0.8) = xlog(0.95)
x = 4.35 ≈ 4.4
Means, at x = 4.4, value of the function was 8.
Question 13 (2 points)
There are a total of 56 students in the art club and the math club. The art club has 12 more students
than the math club. Write and solve a system of equations to find the number of students in each club.
Let x = students in the art club and y = students in the math club
Solution:
students in the art club and
students in the math club
Blank 1:
Blank 2:
Answer:
The math club has 22 students, and the art club has 34 students.
Step-by-step explanation:
Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:
X + X + 12 = 56
2X + 12 = 56
2X = 56 - 12
X = 44/2
X = 22
Thus, the math club has 22 students, and the art club has 34 students.
Which number is a factor of 84?
Answer:
3
Step-by-step explanation:
Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
FAST ILL MARK U BRAINLIEST Write an equation of the line that passes through (2, −1) and is parallel to the line 2y + 3x = 8 . Write your answer in slope intercept form.
Answer:
y=[tex]-\frac{3}{2}[/tex]+2
Step-by-step explanation:
for an equation to be parallel with another both should have the same rate of change(m).
the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)
Isolate for y:
2y+3x=8
2y=-3x+8
y=-3/2x+8/2
y=-3/2x+4
thus the slope of the line we are trying to find must also equal -3/2
use point slope form to find the equation (substitute (2, -1) into equation)
y-y1=m(x-x1)
y-(-1)=(-3/2)(x-2)
y+1=[tex]-\frac{3}{2}[/tex]x+3
y=[tex]-\frac{3}{2}[/tex]+2
Marla bought 1250 pounds of pecans at $1.29 per pound and another 1500 pounds of pecans at $1.59 per pound. She sold all the pecans for \$6.75 per kilogram. After paying her suppliers, how much money did she make?
Answer:
After paying her suppliers, she made $4,575.
Step-by-step explanation:
First, you have to multiply the number of pounds purchased for the price:
$1.29*1250=$1,612.5
$1.50*1500=$2,250
Now, you can add both amounts to find the total cost:
$1,612.5+$2,250=$3,862.5
Now, you have to find the total amount of lb purchased and determine the kg they represent given that 1 kg is equal to 2.20 lb:
1250+1500=2750
2.20 lb → 1 kg
2750 lb → x
x=(2750*1)/2.20= 1250 kg
Now, you can find the total amount sold by multiplying the price per kilogram for the amount of kg:
$6.75*1250=$8,437.5
Finally, you have to subtract the total cost from the total amount sold:
$8,437.5-$3,862.5=$4,575
According to this, the answer is that after paying her suppliers, she made $4,575.
The graph of h(x)= |x-10| +6 is shown. On which interval is this graph increasing?
Answer:
Step-by-step explanation:
we have we know that see the graph
Let
Find the slope B The slope is positive
so
The graph is increasing in the interval----------> (10, ∞)
Find the slope AB
The slope is negative
so
The graph is decreasing in the interval----------> (-∞,10)
therefore
PLEASEEE HELP MEEE WITH THISS
Answer: The answer is D
Step-by-step explanation:
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
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.
...
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. :-)))
Non linear??????????
Answer:
Yes. That is correct
Step-by-step explanation:
m + 7 ≥ 20, if m = 11
Answer:
False;18 ≥ 20
Step-by-step explanation:
Add 11 and 7
The left side 18 is less than the right side 20 , which means that the given statement is false.
Martin is laying out a design for the tiles on a section of his bathroom floor. He will use 1 black tile for every 4 white tiles to have total of 20 tiles in the design. How many of each type of tile will Martin use?
Answer:
[tex]Black = 4[/tex]
[tex]White = 16[/tex]
Step-by-step explanation:
Given
[tex]Black : White = 1 : 4[/tex]
[tex]Total = 20[/tex]
Required
Determine the number of each type used
Convert each ratio to fraction.
For Black, we have:
[tex]Black = \frac{1}{1 + 4} = \frac{1}{5}[/tex]
For White, we have:
[tex]White = \frac{4}{1 + 4} = \frac{4}{5}[/tex]
The number of tiles for each is then calculated as:
[tex]Black = \frac{1}{5} * Total[/tex]
[tex]Black = \frac{1}{5} * 20[/tex]
[tex]Black = \frac{20}{5}[/tex]
[tex]Black = 4[/tex]
[tex]White = \frac{4}{5} * Total[/tex]
[tex]White = \frac{4}{5} * 20[/tex]
[tex]White = \frac{4 * 20}{5}[/tex]
[tex]White = \frac{80}{5}[/tex]
[tex]White = 16[/tex]
PLEASE HELP ME I WILL MARK BRAINLIEST FOR THE CORRECT ANSWER
Answer:
base 48 X 48 = 2304
triangles 0.5 X 48 X 25=600
600 X 4 = 2400
2400 + 2304 = 4704 squared inches
Solve for x:
9x - 3-8x = 7 - X
O A. x=-7
B. X = -2
o
C. x = 4
o
D. X = 5
I need help ASAP
12. Which of these is an algebraic
expression?
A 3 - 1.4
B 1.4 - 3
C 1.4 - n
D 1.4 + 3
Answer:
C.
Step-by-step explanation:
Hi there!
for an expression to be algebraic, there needs to be a variable.
The only option with a variable is c, with a variable of n.
I hope this helped!
What is the measure of angle RST?
a. 87
b. 131
c. 93
d. 90
Option c. 93°.
Alright, so in this one um the angle um so uh this angle right here, let's see right here, right which these two angles these angles are going to be equal because those are vertical angles. So these this angle is equal to um So angle P. S. T. Is equal to one half the sum of those two arcs added together, so 43 plus 1 31 So one half of Uh was that 1 74, So 1 74, divide by two 87. So this is 87 and then you take 18687 And you get 93.
What is the measure of ∠ RST?Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case, the sum of the angles will be more than 180 degrees) than the other two angles, R and S, are equal: R=(180-100)/2=40.
Learn more about the angle at
https://brainly.com/question/25716982
#SPJ2
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
What’s the value of x ?
Answer:
x = 13
Step-by-step explanation:
5x + 12x - 41 = 180
17x = 221
x = 13
Find the unit rate.
$11.40 for 6 gallons
Answer:
$ 1.90 for 1 Gallon
Step-by-step explanation:
11.40/6 = 1.90
another way you can show the answer is: $1.90/1 Gal.