Given:
The given sequence is:
[tex]5,-2,-9,...[/tex]
To find:
The recursive formula for [tex]a_n[/tex], the nth term of the sequence.
Solution:
We have,
[tex]5,-2,-9,...[/tex]
Here, the first term is 5.
[tex]-2-5=-7[/tex]
[tex]-9-(-2)=-9+2[/tex]
[tex]-9-(-2)=-7[/tex]
The common difference is -7.
The recursive formula for the nth term of the sequence is
[tex]a_n=a_{n-1}+d[/tex]
Where, [tex]d[/tex] is the common difference.
Putting [tex]d=-7[/tex] in the above formula, we get
[tex]a_n=a_{n-1}+(-7)[/tex]
[tex]a_n=a_{n-1}-7[/tex]
Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].
For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.
Answer: tThe total dinner bill with tip = $177.90
Step-by-step explanation:
Given: Dinner bill = $148.25
Tip percent = 20%= 0.20
Total dinner bill = Dinner bill + Tip percent × (Dinner bill)
Total dinner bill = $ (148.25+0.20×148.25)
Total dinner bill = $ (148.25(1.20))
Total dinner bill = $177.90
Hence, the total dinner bill with tip = $177.90
A cylinder with a radius of 2 yd and a height of
3 yd.
Answer:
20 π
Step-by-step explanation:
The surface area of a cylinder is made up of 2 circles and its side.
To find the circles' areas, use the area formula for a circle: A = π.
Since our radius is 2 yd, we can substitute r = 2 into this formula.
A = π = 4π
Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.
Now we need to find the surface area of the side.
If we flatten it out, we can see that the side is actually a curled up rectangle.
The length is the circumference of the circle and the width is the height of the cylinder.
To find the circumference, use the circumference formula for a circle: C = 2πr.
Substitute r = 2 into the formula.
C = 2π2 = 4π
Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.
l = 4π
w = 3
A = lw = 4π * 3 = 12π
Finally, we can add the areas of the circles and the side to get the total surface area.
8π + 12π = 20π
And that is your answer!
Please mark as Brainliest! :)
coefficent of 6x is what
x
6
1
Answer:
X
Step-by-step explanation:
common sense
What is the missing angle? Please only if you know!
Please fill in the blanks on the math problems.
Answer:
13) a and b, b and c
14) a = 59°, b = 121°, c = 59°
15) a = 45°, b = 135°, c = 135°
16) a = 72°, b = 108°, c = 108°
Somebody please help
Answer:
5
Step-by-step explanation:
when finding a y intercept thevalue of x must be0,,,,,,when xis changed to 0the answer left is 5
Steve sold 36fruit baskets for a school fundraiser. Edie sold 25% of the number of baskets that Steve sold
Answer:
Edie sold 9 fruit baskets
Step-by-step explanation:
In the diagram below, BD is parallel to XY What is the value of y?
.
B
**
O A. 20
O B. 130
O C. 110
D. 70
Answer:
[tex]y =110^\circ[/tex]
Step-by-step explanation:
Given
See attachment for diagram
Required
Find y
From the attachment, 70 and y are interior angles.
So:
[tex]70 + y = 180[/tex]
Solve for y
[tex]y = 180 - 70[/tex]
[tex]y =110^\circ[/tex]
Which of the following equations could be solved to determine the length of QR?
Answer: D
Step-by-step explanation:
PLZ HELP DUE IN 5 MIN PLZ
Answer:
39
To find the mean you must add up all of the numbers and divide by h9w many numbers there are. So in this case you would add up all of the numbers and divide by 10.
If you add up all of the numbers without including the last one you get 201. You need that number to be 240 because 240÷10=24. So the missing number is 39.
plz, help. I need it...
Answer: (6, 3)
Step-by-step explanation:
solve for 5 points, will give brainlist
Answer:
i know that the first one is not equivlent but i dont know about the others
Step-by-step explanation:
Help me pleaseeee!!!! PLEASEEE
Answer:multiply each side to each other
Step-by-step explanation:yea
What distinguishes a market economy from a free-enterprise economy?
A market economy is based on set prices that businesses use to produce goods that consumers need.
A free-enterprise economy allows the government to freely regulate the quantity of items produced as supply decreases in a market economy.
A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money.
In a market economy, the supply and demand of goods is determined by consumers who are free to set their own prices in a free enterprise
Answer:
Well that question could have multiple answers... one of them being set prices, and money balances. Another being product demand on goods and services. It's really your choice on what you think distinguishes these factors. There's to many opinions on this to just give one answer.
Step-by-step explanation:
Answer: It's C. "A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money." Good Luck!
Step-by-step explanation:
Just took it on edge and have a screenshot
If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?
Answer:
15.36mm
Step-by-step explanation:
The area of a triangle can be defined as B x H or L x H,
In your case, I'm assuming you meant base as length, so just plug into the equation:
L x H = 420.92mm2
27.4 x H = 420.92
H = 15.36
If you want to be exact, it is 15.3620438
The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.
The area of a rectangle is a product of is two adjacent sides i.e. length * width
Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36
Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
3a^2+6b^3 a=3 and b=2
1
6
Drew uses container of
carpet freshener to
vacuum of his house.
If his entire house is
carpeted, at this rate,
what fraction of the
container of carpet
freshener will Drew use
to vacuum his entire
house?
pls answer a b and c
Answer:
Given
r = 1.6 cmh = 6.2 cma.
Volume of the half-sphere:
V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)b.
Volume of the cylinder:
V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³c.
Volume of the figure:
V = 8.6 + 49.8 = 58.4 cm³NEEDEDASAP PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
16. 150ft
17. 120ft
18. 14sq in
19. 12ft
20. 100miles
21. 87ft
22. 24in 23. 31in
Step-by-step explanation:
brainliest?
PLEASE HELP QUICK I NEED IT TO PASS
Find a formula for a geometric sequence that begins 100, 110, 121, ....
9514 1404 393
Answer:
the marked choice is correct
Step-by-step explanation:
The initial term is a1 = 100. The common ratio is r = 110/100 = 1.1. The generic term is ...
an = a1·r^(n-1)
Filling in the known parameters, we find the sequence terms sn to be ...
[tex]\boxed{s_n=100(1.1)^{n-1}}[/tex]
NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
Answer:
the answer is the same as D 124 degrees
Step-by-step explanation:
Answer: The answer is 90°
Step-by-step explanation:
Mina has 1/2 of a bag of popcorn. She eats half of her popcorn. How much popcorn does Mina have left?
b.1/8 of a bag
c.1 bag
c.1/4 of a bag
d.1/2 of a bag
no links k
Answer:
c.1/4 of a bag
cuz half of 1/2 is 1/4
There are 13 students in the class if every student in the class recycled one piece of paper each school day for the whole school year how many pieces of paper would get recycled versus go in the trash? (There are 172 school days per school year)
Answer:
dont know the answer but as i see, 13 student in class and each have 1 peice so 13 per day. you said 172 days so, 172 multiply 13 is 2236. its your answer
A random sample of house sizes in major city has a sample mean of
Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
What is the volume of the composite figure?
Answer
180 inch² bottom / 192 inch²( top)
Step-by-step explanation:
5x3=15
15x12=180
4x4= 16
16x12=192
PLEASE HELP. I REALLY NEED THIS.
Answer:
sry sry sry sry sry can't answer
Pekekeekekkekemmemememsmsmsmwmwmwmwmwmwmwwmwmmwmwwmmwm
Answer:
Answer C
Step-by-step explanation:
C.
Help me solve this on time limit
Answer:
B
Step-by-step explanation:
254,817- 13?,125=118,692
Answer:
118,692
Step-by-step explanation: