Describe the relationship between the terms in each arithmetic sequence. Then
write the next three terms in each sequence. (Examples 1 and 2)
Answers
Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression
[tex]0,9,18,27[/tex]
Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:
[tex]d = T_n - T_{n-1}[/tex]
Take n as 2
[tex]d = T_2 - T_{2-1}[/tex]
[tex]d = T_2 - T_{1}[/tex]
Where
[tex]T_2 = 9\ and\ T_1 = 0[/tex]
[tex]d =9-0[/tex]
[tex]d =9[/tex]
The relationship is: The sum of the previous term and 9
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:
[tex]Next\ Term = 27 + 9 = 36[/tex]
[tex]Next = 36 + 9 = 45[/tex]
[tex]Next = 45 + 9 = 54[/tex]
Hence, the next three terms are: 36, 45 and 54
Related Questions
-7(8) =
Spam:$:$:$:!:!;!;!,!,!,,!!,,!,!,!,!,!,!
Answers
Answer:
-56
Step-by-step explanation:
-7 x 8= -56
Which expressions are in their simplest form? Check all that apply.
Answers
Answer:
The first one is the only one in simplest form.
Answer: this is answerrrr
A C Dpeace
Helppppp this is really hard
Answers
Answer:
0 is the right answer.Step-by-step explanation:
[tex]y = {(x + 7)}^{3} + 4 \\ [/tex]
There are no real zero in the equation.
Round to the nearest tenth. 1.598 *
Answers
Answer:
1.6
Explanation:
1.598
Round from the nearest tenth
1.59
If the number in the hundredths place is higher then 5 then add one to the tenths place.
1.6
A video store charges $15 for a rental card plus $1.50 per rental. Write a linear equation in
slope-intercept form to model the situation.
Answers
Answer:
15 + 1.50x
Step-by-step explanation:
s + 2.5s + 2.5s - 3.3 =
Answers
Answer: 6s-3.3
Step-by-step explanation:
Answer:
[tex]s=0.55[/tex]
Step-by-step explanation:
[tex]6s=3.3\\s=\frac{3.3}{6}\\s=0.55[/tex]
What is (64x^2y^3)-1/2 as radical expression?
Answers
Answer:
[tex] \frac{1}{8xy \sqrt{y} } [/tex]
Step-by-step explanation:
[tex](64 {x}^{2} {y}^{3} )^{ - \frac{ 1 }{2} } \\ \\ = \frac{1}{(64 {x}^{2} {y}^{3} )^{\frac{ 1 }{2} } } \\ \\ = \frac{1}{ \sqrt{64 {x}^{2} {y}^{3}} } \\ \\ = \frac{1}{ \sqrt{ {(8xy)}^{2} y} } \\ \\ = \frac{1}{8xy \sqrt{y} } [/tex]
If x = 2, y = -1, Simplify and find the value of x(2) - 3 (x(2) + y(2) - 4).
Answers
Answer:
I think it would be -4x-6y+12
Answer:
10
Step-by-step explanation:
Plug in the values to "x" and "y" and solve.
Solve:
2(2) - 3(2(2) - 1(2) - 4)
2(2) - 3(4 - 1(2) - 4)
2(2) - 3(4 - 2 - 4)
2(2) - 3(-2)
4 - 3(-2)
4 + 6
10
Your answer would be 10.
Given a triangle ABC has angles of A = 30 and B = 70, what is the smallest side?
Answers
Answer:
A=30 is the smallest side
Step-by-step explanation:
A+B+C= 180
30+70+C=180
100+C=180
C=180-100
C=80
Therefore, A=30 is the smallest side of the triangle...
hi people here hi hi oya
Answers
Answer:
Hi How are you doing today???
Answer:
Hello there, how are you doing?
Step-by-step explanation:
Solve 3(5x-4) < 15x
O. X < 4
O no solution
O x > -4
O all real numbers
Answers
Answer:
All real numbers
Step-by-step explanation:
3(5x - 4) < 15x
~Distribute left side
15x - 12 < 15x
~Subtract 15x to both sides
-12 < 0
Best of Luck!
If there is 1 person who needs to talk and there are hundreds of others out there, how many will the person probably talk to?
Answers
Answer:
10
Step-by-step explanation:
Answer:
...........1 person...........
n-17 = 24
Step to step
Answers
Answer: 41
Step-by-step explanation: Add 24 plus 17
what is computer answer
Answers
Step-by-step explanation:
A programmable electronic device that performs mathematical calculations and logical operations, especially one that can process, store and retrieve large amounts of data very quickly; now especially, a small one for personal or home use employed for manipulating text or graphics, accessing the Internet, or playing games or media is computer.
Hope it helps :)❤
jenny goes to the shop she buys
. three cups for £1.24 each
.three saucers for 95p each
. a teapot for £6.18
jenny has £20 to spend she also wants to but some plates, which are £1.57 each.
what is the greatest number of plates jenny she can buy
Answers
Answer:
5
Step-by-step explanation:
1.24 times 3 = 3.72
.95 (the value of pence to a pound in decimal form) = 2.85
6.18 for the teapot
2.72+2.85+6.18=11.75
She now has £8.25 left (20-11.75).
8.25/1.57=the amount of plates she can buy: 5.25477707006, so 5 with some money left
Find the missing angles.
10°
55°
LO
x=
y =
Z=
o
X=
0
y=
o
Z=
Answers
Step-by-step explanation:
x = 90- 55 = 35
y = 180- x
y= 180 - 35 = 145
z =180- (y +10)
z = 180 - (145 +10)
z = 180-155
z = 25
Please gimme brainliest
Diameter = 18 cm
What is the area of the given circle? Use 3.14 for it.
A)
56.52 cm2
B)
254.34 cm2
C)
324.09 cm2
D)
1017.36 cm2
Answers
Answer: B. 254.34 cm^2
Step-by-step explanation:
The area of a circle is pi times the radius squared.
Using the diameter we have to find the radius.
The diameter is two times the radius meaning that the radius is half the diameter.
18/ 2 = 9
The radius will be 9 cm
Now using the formula v= pi * r^2 , input the value for pie and the radius and solve for v the volume
v = 3.14 * 9^2
v= 3.14 * 81
v = 254.34 cm^2
Answer:
The answer would be B) 254.34 cm2
Step-by-step explanation:
12-(x-3)=8
what is the value of x
Answers
Answer: 7
Step-by-step explanation: First distribute the subtraction sign (negative one) to x and -3. Now we have 12 -1x + 3 = 8. Now combine 12 and 3 then subtract 15 from both sides to get -1x = -7. Now divide both sides by -1 to get x = 7.
Hope this helps!
Answer:
Step-by-step explanation:
12-(x-3) =8
12 -x +3 = 8
15 - x = 8
- 15. -15
-x = -7
x = 7
Please help me I need help number three 17 points for all work shown.
Answers
Answer:
15%Step-by-step explanation:
Actual number = 172Estimated number = 198Error:
198 - 172 = 26Percent error:
26/172*100% = 15% rounded to the whole numberStep-by-step explanation:
[tex]\% \: error = \frac{198 - 172}{172} \times 100 \\ = \frac{26}{172} \times 100 \\ = 15\%[/tex]
15%(approx) is the right answer.Solve |x+4|=6 need help for a quiz
Answers
Answer:
down below
Step-by-step explanation:
set up two equations:
x + 4 = 6 x + 4 = -6
solve both:
x = 2 x = -10
plug it back in to the original equation:
|2 + 4| = 6. |-10 + 4| = -6
|6| = 6. |-6| = -6
6 = 6. since absolute value is always positive:
correct. |6| = -6
6 does not = -6
write both of these down if you need to show your work
What is the area of the bulletin board?
PLEASE HELP!!
Answers
Answer:
B: 8^3 in squared
Step-by-step explanation:
2^3 = 2*2*2= 8
4^3 =4*4*4=64
Area of rectangle equals length times width.
So, 8 * 64 equals 512 and 8^3= 512
Use calculator. Also, you can just treat it as normal multiplication and choose the one with the same units. so it would be 8, but then the next thing you would need to look at is the exponent. Since 8^6 is not the same exponent as the two in the problem, it has to be the 8^3, which are the same
Ryan works at a cell phone store Monday to Friday. He earns $80
per day plus $8
per phone sold. On Tuesday, Ryan makes at least $176.
Hurry up pls
Answers
Answer:
If you are asking how many phones he sold Tuesday he sold 12
Step-by-step explanation:
you subtract 80 from 176 then you get 96 and divide that by 8 to get 12 phones
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?
The older sibling will catch the younger sibling after ? second(s) and running ? feet.
Answers
Answer:
it would take approximately 8 seconds
Step-by-step explanation:
7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88
While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?
Answers
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = $25
HELP THIS IS DUE TODAY
A teacher surveys a sample of students from lake middle school. He asks the students where they’d like to go for a field trip. He records the results:
80 choose the aquarium
60 choose the science center
30 choose the planetarium
40 choose the farm
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth.
Answers
Answer:
210 students
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
Solve for the values of x and y. Round the answers to the nearest hundredth.
Answers
Answer:
x = 26, y = 19
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ST}{NP}[/tex] = [tex]\frac{RS}{MN}[/tex] , substitute values
[tex]\frac{x}{13}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 13 )
x = 26
and
[tex]\frac{MP}{RT}[/tex] = [tex]\frac{MN}{RS}[/tex] , substitute values
[tex]\frac{y}{38}[/tex] = [tex]\frac{16}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 38 ( divide both sides by 2 )
y = 19
Estimate the product/quotation of the problem below
724÷87
Answers
the answer to this problem is 8.321839080459770114942528735632183908
rounded answer =8
Use the figure below to answer the following questions.
What is mZ2?
Answers
Answer:
angle2 = 50º
Step-by-step explanation:
Angle 1 is 60º because of the vertical opposite angle rule
There are 180º in a Triangle. So...
70º + 60º + angle2 = 180º
130º + angle2 = 180º
angle2 = 50º
11
Which correctly explains how to use place value and the distributive property to find the product of 742 and
Answers
Answer:
6678
Step-by-step explanation:
742 = 700+40+2
(700+40+2)*9 = 700*9+40*9+2*9 = 6300+360+18 = 6678
Answer:
D Write 742 as 700 + 40 + 2. Multiply each addend by 9. Then add the three products to get 6,678.
Step-by-step explanation:
I did the math >:3
sorry if it's wrong
Convert the following repeating decimal to a fraction in simplest form.
.3
Answers
Answer:
1/3
Step-by-step explanation:
When you divide 1 by 3, you get .3 repeating.
