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."
HELP PLEASE 20 POINTS
Answer:
a b and j?
Step-by-step explanation:
Find an expression with represents the sum of 5X -8 and 2X +2 in simplest terms
6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?
Answer:
54mile equal to 81km
8mile equal to 12km
Sara has $65 and wants to buy the following items from a store. Board game: $14.95 Building blocks: $25.49 Art kit: $35.79 At the store, all items are one-fourth off of the original price and there is a 5% sales tax. Sara wants to know if she can buy all of these items. Which statement is TRUE?
The correct statement is Sara can afford to purchase the items because the final price of the items is $60.
The first step is to determine the total cost of the items Sara wants to buy. The total cost can be determined by adding the cost of the items together.
Total cost = $14.95 + $25.49 + $35.79 = $76.23
The second step is to determine the cost of the items after the discount.
Price of the items = total cost x (1 - discount)
= total cost x (1 - 1/4)
total cost x 3/4
$76.23 x 3/4 = $57.17
The third step is to determine the cost of the items after tax.
Cost = (1.05) x $57.17 =$60.03
Please find attached the complete question. To learn more about taxes, please check: https://brainly.com/question/25311567
HELLLP ME I GIVE BRAINLIESST
The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
each pass costs $26
Step-by-step explanation:
12 + 2x = 64
-12 -12
-------------------
2x = 52
x=26
hope this helps! :D
have a miraculous day everybody!!
brainliest is immensely appreciated!!! <3
please help ill mark brainliesta
Answer: Neither
Step-by-step explanation:
y = -5/4 x + 3/4
y = 5/4 x + 3/4
Because -5/4 is not a negative reciprocal of 5/4 and because they are not the same, they are neither in parallel or perpendicular
three hundred two times one hundred fifty three
302×153
Answer:
46,206
Step-by-step explanation:
simple math
Answer:
the answer is 46,206
Step-by-step explanation:
Good luck!!!!
Answer this by 4:20 EST and I will mark brainliest
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = [tex]\frac{-4-a}{9-6}[/tex] = [tex]\frac{-4-a}{3}[/tex]
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
[tex]\frac{-4-a}{3}[/tex] = [tex]\frac{2}{3}[/tex] , so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
Step-by-step explanation:
what is the problem ?
as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.
g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...
g(0) = 3 - 1/3 × 0 = 3
g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...
Answer:
g(-1) = 3/2
g(0) = 3
g(4) = 1
A nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts. Over the
entire day, 131 pounds of the nut mixture were sold for $248.52. If p is the number peanuts and n is the number of macadamia nuts, then the
system of equations that models this scenario is:
p+n=131
P+3.26n = 248.52
ANSWER CHOICES:
(Please help it would mean everything to me. I’d give brainliest <3)
Answer:
D
Step-by-step explanation:
You can infer to the solution of this problem by looking at the choices. Hope this helped :)
Find the domain and range of f... please help
The range is [tex]\boxed{-4 \leq y < 0}[/tex].
If the exchange rate is 1.5 U.S. dollars / 1 euro, how many U.S. dollars would be equivalent to 20 euros?
A. $1.50
B. $18.50
C. $30.00
D. $13.30
The answer is C because 1 times 20 is 20 and .5 times 20 is 10 then you get 30
Answer: C.) $30.00
Step-by-step explanation: If 1.5 U.S. dollars equals 1 euro, then 1*20 would be 20 euros. So then, you could multiply 0.5*20 to get 10. Finally, you add $10 + $20 to get $30 U.S. dollars.
0.5*20= $10
20+10= $30
Hailey collected 215 cans and 475 newspapers for recycling. Each can weighs 15 grams. What is the total weight of the cans that Hailey collected?
? x 15 =?
Answer:
3225 grams
Step-by-step explanation:
215 x 15
Which any quality represents the statement the sum of -3 and a number is at least 5
Answer: -3 + n >= 5
Step-by-step explanation: I got it wrong on the test but got the correct answer from test review on K12
Find the slope. Use point-slope formula to write the equation of the line described. Simplify your equation to slope-intercept form.
Through (5,2), Perpendicular to y=-5/7x
Expand and simplify
(7-3x) (6x + 1)
Answer:
-18x^2+39x+7
Step-by-step explanation:
how do i solve for this?
Step-by-step explanation:
1. KOL = 90
2.KLO = 25
3.NL= 30
4.KL = 17
workings
1.for angle
KOL =90 : the diagonals of rhombus are perpendicular to each other
2. angle LKO + angle KLO + angle KOL =180 : angles of triangle are supplementary(add to 180)
65+ KLO + 90 =180
KLO +155
KLO = 180 - 155
KLO = 25
3. NL = NO + LO: diagonals of the rhombus bisect each other
NL = 15 +15
NL = 30
4. Cos 25 = 15/KL
multiply by KL on both sides
KL × Cos 25 =15
divide by cos 25 on both sides
KL = 17
Logan has an automatic hummingbird feeder in his backyard. He fills it to its capacity, 10 fluid ounces. Each day, it releases 1 fluid ounce of nectar.
Write an equation that shows how the number of fluid ounces of nectar remaining, y, depends on the number of days since Logan filled it, x.
Answer:
-1x+10
Step-by-step explanation:
The equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:
y = 10 - x.
The relationship between the number of fluid ounces of nectar remaining (y) and the number of days since Logan filled the hummingbird feeder (x) can be represented using a linear equation.
Initially, when Logan fills the hummingbird feeder to its capacity of 10 fluid ounces, the nectar remaining is 10 fluid ounces.
As each day passes, 1 fluid ounce of nectar is released.
Therefore, the equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is: y = 10 - x.
Here's an explanation of each component of the equation:
y: This represents the number of fluid ounces of nectar remaining.
As the days pass, this value will decrease as nectar is released.
10: This is the initial amount of nectar in the feeder when Logan fills it to its capacity of 10 fluid ounces.
x: This represents the number of days that have passed since Logan filled the feeder.
Each day, the amount of nectar decreases by 1 fluid ounce, hence the subtraction of "x."
This equation forms a linear relationship where the nectar remaining decreases by 1 fluid ounce for each day that passes.
To learn more on equation click:
https://brainly.com/question/14468218
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Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in the simplest form
3/4 divided by 3
Step-by-step explanation:
3/4 ÷ 3
recall that the inverse of division is multiplication
=3/4 x 1/3
=1/4
A function is shown below.
f (x) = 83 - 11
What value of x makes f (20) = 21?
Enter your answer in the grid below.
please help!
Answer:
the answer is 4
Step-by-step explanation:
if y=21 the we substitute in the main equation
21=8x-11
8x=32
x=4
[tex] \frac{1.3}{7.8} \: \frac{3}{18} [/tex]
Is this equivalent?
Answer:
Yes
Explanation:
1.3/7.8 = 0.167
3/18 = 0.167
An equivalent fraction is a fraction that is the same as another fraction with a different denominator.
I hope it helps.
The bar chart shows the number of students with each letter grade in a certain professor's math classes. Since students need at least a C for the grade to transfer, the professor groups all grades that are less than C into one category instead of grouping D's and F's separately.
How many fewer students have less than C's than have C's?
A 212
B 612
C 123
D 89
Answer:
Since students need at least a C for the grade to transferdes that are less than C into one category instead of grouping D's and F's separately. How many ...
A unique source of water pollution contributing to water quality problems in the Ganges River is: A. raw sewage. B. disease-causing organisms. C. zebra mussels. D. PCBs. E. ash from human cremations.
What three fractions are greater then 1/2 but less then 1
Answer:
5/8
6/7
2/3
Step-by-step explanation:
What is the slope of the line?
Answer:
1/4
Step-by-step explanation:
Answer:
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
If Y = 13 inches, Z = 19 inches, H = 7 inches, and W = 3 inches, what is the area of the object?
A.
304 square inches
B.
123.5 square inches
C.
147 square inches
D.
190 square inches
Answer:
Step-by-step explanation:
Ask Siri
Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230 miles so far, write an equation and solve for the number of miles she has left to run to reach her goal.
Answer:
600-230=L
Step-by-step explanation:
L means Left or What's left
Ryan needs to buy some pencils. Brand A has a pack of pencils for 7.49$ . Brand B has a pack of pencils for 9.97$ .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
Unit Price for Brand A: $0.31 per Pencil.
Unit Price for Brand B: $0.35 per Pencil.
Brand A is the better buy.
Step-by-step explanation:
Divide 7.49 by 24 to get 0.312 and round down to 0.31.
Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)
Compare 0.31 and 0.35. (0.31 < 0.35)
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 14,941 ÷ 98?
Answer:
0.152
Step-by-step explanation:
