A sequence is defined recursively as follows: a(1) = 1, and a(n)= a(n-1)+n
(a) How do you interpret this recursive rule?
b) Write down the rule for a(2),a(3), and a(4)
it down in your own words.
and determine their values.
Answer:
Step-by-step explanation:
a) The current term number is added to the previous term to get the current term.
__
b) Using n = 2, 3, 4 in the given formula, we have ...
a2 = a1 +2 = 1 +2 = 3
a3 = a2 +3 = 3 +3 = 6
a4 = a3 +4 = 6 +4 = 10
The value of the current term is the sum of all positive integers up to the term number, that is, term n is the n-th "triangle number."
What is the answer to the question?? Is the answer even on there?
Answer:
D. $105,750
Step-by-step explanation:
Use the formula I=prt,which stands for "Interest equals principal × rate × time" The clue to use that formula was the phrase "simple interest" The principal is the original amount of the loan, $150,000.
The interest rate is the 3.7% or 4.2% but you MUST change these to a decimal to use them. So we'll be using .037 and .042 for these calculations. The time part of the equation is the 15 years or the 30 years. See image.
What are the coordinates of A? someone help
Answer:
(7,10)
Step-by-step explanation:
The x coordinate is the first coordinate, it is how far you go across
X = 7
The next coordinate is the y coordinate, it is how for you go up or down
y = 10
(7,10)
If a < b then ka < kb
Alicia sold 59 fewer tickets than Jenna and Matt sold together. How many tickets did Alicia sell ? Explain
Answer:
I'm guessing 401 tickets. lol
Number of tickets Alicia sold is equals to 401 .
What is linear equation?" Linear equation is defined as the algebraic expression with one or more variables with highest power of the variable equals to one."
According to the question,
x represents the number of tickets Alicia sold
As per the data given,
Number of tickets Jenna and Matt sold together = 282 + 178
= 460 tickets
Substitute the given values in the condition we get linear equation,
x + 59 = 460
⇒ x = 460 - 59
⇒ x = 401 tickets
Hence, number of tickets Alicia sold is equals to 401 .
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The probability of the test showing negative given the person does not have the disease?
A construction company needs to remove 2 5/6 tons of dirt from a construction site. They can remove 3/10 tons of dirt each hour. What is the total amount of hours it will take to remove the dirt?
Answer:
Here is a generic way to set up this type of algebra problem.
d = total amount of dirt at the site (tons)
r = rate or removal (tons/hr)
t = time it takes to remove all of the dirt (hr)
d = rt
The total amount of dirt equals the removal rate times hours spent removing all the dirt.
Since you want to solve for t, divide both sides by r
t = d/r
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Which of the following fractions can be represented by a terminating decimal?
OA) 8/9
OB)13/8
OC)4/3
OD)6/11
Answer:
B) 13/8
Step-by-step explanation:
First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point
Let's go through our possible answers with trial and error:
A) 8/9
8/9 = 0.888888888888...9 (Incorrect)
B) 13/8
13/8 = 1.625 (Correct)
C) 4/3
4/3 = 1.3333333333...4 (Incorrect)
D) 6/11
6/11 = 0.545454545454...54 (Incorrect
13/8 is our answer because in decimal form it is a terminating decimal.
Help me, please? I dont understand these
Identify which line the error is in (1 point)
• Describe the error that was made (1 point)
State what the correct answer should be
Answer:
Step-by-step explanation:
Identify the two statements that contradict each other.
1. AABC is an acute triangle.
II. A, B, and C are coplanar.
III. B is the midpoint of AC.
PLz HELP ME NOW AND I WILL MARK U BRAINLIEST
Answer:
56
Step-by-step explanation:
cross multiply
0.06z - 0.36 = 3
0.06z = 3.36
z = 56
3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,
howmany possible outcomes are there?
The number of possible outcomes for both Billy and Karen = 32 possible outcomes.
A coin has head and tail and thus;
Number of possible outcomes of a coin toss = 2
Now, for the for the spinner, since there are 8 equal regions;
The number of possible outcomes of the spinner = 8
Now, since they are playing a game;
Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16
Similarly;
Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16
Therefore;
Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.
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Find the area of the shape shown below:
Answer:
80
Step-by-step explanation:
3.5*2*2*2*2*5=280
Which statement is true regarding the functions on the
graph?
Answer:
f(3) = g(6)
Step-by-step explanation:
What is 196.7 16 in simplest form?
Can someone pls help really quick
Given the following data points, determine the Mean, Median, Range, and Mode. Then split the data up into Quartiles and Quintiles.
65 57 72 76
98 65 55 69 67
80 64 5 37 8
92 31 54 51 36
Mean:
Median:
Mode:
Range:
The cost of producing a vanity license plate is c = $1000 +$8p where p is the number of plates you produce. Complete the table below:
Number of Plates Total Cost Cost per Plate
15
75
150
What is the minimum number of plates you need to produce in order to make a profit assuming you sell the plates for $20? What about if you sell the plates for $15?
Answer:
Step-by-step explanation:
Mean: 56.95
Median: 64
Mode: 65
Range: 93
15 plates = $1000 + 8(15) = $1120
75 plates = $1000 + 8(75) = $1600
150 plates = $1000 + 8(150) = $2200
What is the value of x if the side length of Terrarium A is four times the side length of Terrarium B?
The value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6
Since we are both given the required length, we can assume the side length of Terrarium A and B and solve it in a general way.
Let;
Side length of Terrarium A = x - 6Side length of Terrarium B = x + 3If the side length of Terrarium A is four times the side length of Terrarium B, then;
x - 6 = 4(x + 3)
x - 6 = 4x + 12
x + 4x = 12 + 6
5x = 18
x = 3.6
Hence the value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6
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what is the answer this math problem?
Answer:
HLO Mate here is ur answer
If the measure of angle 1 is 45°, what is the measure of angle 11 in degrees.
I need a lot of help
Answer:
lol wat r u doing .........
Complete the point-slope equation of the line through -8,1 and -6,5
Answer:
y+1=3(x+8)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(-6-(-8))
m=(5+1)/(-6+8)
m=6/2
m=3
y-y1=m(x-x1)
y-(-1)=3(x-(-8))
y+1=3(x+8)
ean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.
Using the number lines shown, what is the equivalent fraction to 3/3
Answer:
3/3 is a whole so I believe it would be the whole number line
If 108 is added to a number, it will be 5 times as large as it was originally. Find the number.
Answer:
27
Step-by-step explanation:
let th original number=x
x+108=5x
5x-x=108
4x=108
x=108/4=27
g(-2) mathematics what’s the answer I’m on a time limit this is due tomorrow omggggg
Answer:
-2g
Step-by-step explanation:
Distribute G to -2
In simple words multiply G and -2
What is the multiplicative inverse for dividing 5\6 by 7\11
Answer: The value of 5/6 is 5 and the value 7/11 is 7.
Step-by-step explanation:
What is 18x4=9xn? Just tell me the answer.
Answer:
Step-by-step explanation:
x=0
Answer:
8
Step-by-step explanation:
18×4 = 72
And 72 ÷ 9 = 8
So 9×8 would be 72
[tex]\sf 3x+6y=12[/tex]
Answer:
[tex]3x + 6y = 12[/tex]
[tex]3x + 6y - 6y = 12 - 6y[/tex]
[tex]3x = 12 - 6y[/tex]
[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] \frac{3x}{3} = 1 = x[/tex]
[tex] \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] = \frac{12 - 6y}{3} [/tex]
[tex] = \frac{6(2 - y)}{3} [/tex]
[tex] \frac{6}{3} = 2[/tex]
[tex] = 2( - y + 2)[/tex]
[tex]x = 2( - y + 2)[/tex]
Answer:
x=2(3-y)
Step-by-step explanation:
3x+6y=12
x+2y=4
x=4-2y
=2(2-y)