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
Answer the question in the picture please
Answers
Answer: 1.23
Step-by-step explanation:
0.3*4.1=
Answer:
It is 1.23
Step-by-step explanation:
When multiplying decimals, multiply it as a whole number, and move the decimal to the left the amount of times it was in the problem.
i.e. .3 times 4.1
.3 has 1 number behind the decimal and 4.1 also has one number behind the answer. This means that you will move the decimal to the left twice in 123.0 to 1.23
Please help.... which ordered pair is NOT a solution to the inequality in the graph
Answers
Answer:
(5, 1) is the answer.
Step-by-step explanation:
This is because the point (5, 1) is NOT in the shaded area of the inequality. All the other points are either in the shaded area of the inequality, or on the line of the inequality equation.
Hope this helps!! :)
#teamtrees #WAP (Water And Plant)
Answer:
(5,1)
Step-by-step explanation:
Simplify the expression 7b + 7 + 5b – 5b + 2a – 12.
Show your work!
Answers
Answer:
2a+7b-5
Step-by-step explanation:
7b + 7 + 5b – 5b + 2a – 12
2a+7b+5b-5b+7-12
2a+7b-5
Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,
Answers
Answer:
B and C are correct Hope this helps <3
Step-by-step explanation:
Answer:
B and C?
Step-by-step explanation:
Im a little unsure about C but im about99% sure that is correct
Enter a value to balance the hanger
Answers
Answer:
Try 2.75 it should work
Step-by-step explanation:
prove me wrong
Find the area of the shape.
Answers
Answer:
39.5 [tex]ft^{2}[/tex]
Step-by-step explanation:
We need to take this shape by shape
Top triangle
a = b*h/2
a = 3*2/2
a = 6/2
a = 3
__________________________________________________________
Bottom triangle:
a = b*h/2
a = 3*3/2
a = 9/2
a = 4.5
__________________________________________________________
Rectangle:
a = b*h
a = 8*4
a = 32
__________________________________________________________
Now add them all up
3 + 4.5 + 32 = 39.5
The area of the shape is 39.5 [tex]ft^{2}[/tex]
Hope this helped!
What is the answer to
1. b+4=2b-5
2. -6-29=5x-7
3. 10h+12=8h+4
4. 7a-17=4a+1
Answers
Answer:
b=9
(assuming you meant -6x) x = -2
h = -4
a = 6
Step-by-step explanation:
Subtract.
15 8/12−8 5/12
Answers
Answer:
158/12-85/12 equals this in a decimal 6.083333333
and in a factor it is 73/12
Step-by-step explanation:
HOPE I HELPED
Which ratio does NOT represent this situation?
1 point
o
3:12
9:3
8:2
1:3
Answers
Answer:
1:3
Step-by-step explanation:
3:12 is the amount of shaded circles to all circles, 8:2 is basically the same thing as 3:12 and 9:3 is the amount of shaded circles to the amount of non-shaded circles. 1:3 wouldn't work because it is not the right ratio.
What expression is equivalent to -2x + 7
Answers
please help asap I'll mark brainliest
Answers
Answer: G
7/9 yd= 28 in
2.5ft = 30 in
2 2/3 ft= 32 in
33in = 33in
I hope this helps:
What is the area of a square with a side length of 7 feet ?
HELP
Answers
Answer:
49 square feet
Step-by-step explanation:
Area of square
[tex] = {7}^{2} \\ \\ = 49 \: {ft}^{2} \\ [/tex]
Lisa is on a trip of 1,515 miles. She has already traveled 225 miles. She has 3 days left in her trip. How many miles does she need to travel each day to complete the trip?
A.
655
B.
430
C.
1,290
D.
860
Answers
Answer:
b.430
Step-by-step explanation:
Which letter is in the solution set for graph #1
Answers
Answer:
Its 50/50 with T or B I say the answer is B
Step-by-step explanation:
A baseball is hit along the third base line with a speed of 100 ft/s. At what rate is the balls distance from first base changing when it crosses third base?
Answers
Solution :
From the triangle,
[tex]$x^2 = s^2 + 90^2$[/tex]
[tex]$x = \sqrt{s^2 + 90^2}$[/tex]
Now differentiating w.r.t "t", we get
[tex]$\frac{dx}{dt}=\frac{d}{dt}\left(s^2 +90^2 \right)^{1/2}$[/tex]
[tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{\frac{1}{2}-1} \cdot 2s \cdot \frac{ds}{dt}$[/tex] [chain rule]
[tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{-\frac{1}{2}} \cdot 2s \cdot \frac{ds}{dt}$[/tex]
[tex]$=\frac{s}{\left(s^2 + 90^2\right)^{\frac{1}{2}}} . \frac{ds}{dt}$[/tex]
But given that [tex]$\frac{ds}{dt}$[/tex] = 100 ft/s
When all the ball crosses the third base, this means that s = 90. So substituting the value of s and [tex]$\frac{ds}{dt}$[/tex] in [tex]$\frac{dx}{dt}$[/tex] , we get
[tex]$\frac{dx}{dt} = \frac{90}{\left(90^2 +90^2\right)^{1/2}} \times 100$[/tex]
[tex]$\frac{dx}{dt} = \frac{90}{\sqrt{8100+8100}} \times 100$[/tex]
[tex]$\frac{dx}{dt} = 50\sqrt2$[/tex]
= 70.710 ft/s
Andre types 208 words in 4 minutes. Noah typed 342 words in 6 minutes
A) Who typed faster
B) How many words can andre type in 10 minutes
C)Would you find the unit rate of words per minute or the unit rate of minutes per word to
figure out how long it would take Noah to write 1710 words? Why? (You do not need to
solve, just choose and explain why).
Answers
Answer:
Noah types faster because he can type more words per minute.
Step-by-step explanation:
For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.
Solving Inequalities, HELP PLEASE.!!
hjukhvfd816
11/03/2017
Mathematics
Middle School
answered
The Latino Rams at Englewood High school are seeking to raise at least $750 in a fundraiser to pay for their end-of-the year field trip to Islands of adventures.
Answers
Answer:
x ≥ $750
Step-by-step explanation:
I need the answer please help me
Answers
Answer:
-29.988 or if you round up -30
Step-by-step explanation:
1) Convert fractions to decimals
3.6 x (-8.33) = -29.988
Answer:
I think its this but not sure
I will be marking you brainiest and give you 5 stars if you can answer this math question.
Christy is packing for her family’s vacation. She has 5 tops, 3 bottoms, and 2 pairs of shoes. Assuming she wears a top, a bottomless and a pair of shoes with each outfit, how many possible combinations can she make?
Answers
Answer:
8
Step-by-step explanation:
My wife baked cookies this year. 40% of the cookies she baked were chocolate chip. If she baked 36 chocolate chip cookies, how many total cookies did she bake
Answers
Answer:
She baked 90 cookies.
Step-by-step explanation:
From the information given you know that 36 cookies represent 40% of the cookies that were baked. With this information, you can use a rule of three to find the total mount of cookies that she baked:
36 cookies → 40%
x ← 100%
x=(36*100)/40=90
According to this, the answer is that she baked 90 cookies.
Can someone help me do this it’s an emergency
Answers
Tammy's home cost her S184,000. She lives in an area with a lively real estate market, and her hormincreases in value by 3.5%
every year. If Tammy sels her home after thirteen years, how much profit wil she have made, to the nearest hundred dollars?
a s8,500
b.
C.
d
7,800
S83,700
S103,800
Please select the best answer from the choices provided
O
A
B
C
D
O
Save and Exit
Next
Submit
Answer D 103,800
Answers
Answer:
D. $103800Step-by-step explanation:
Initial value of house:
$184000Yearly increase rate of value:
3.5%Time
13 yearsSince the increase is concerning the current price it would be exponential growth.
The function would be:
V(t) = 184000*(1 + 3.5/100)^t, where V is the value after t yearsFor t= 13 we get:
V(13) = 184000*(1.035)^13 = 287800Profit made would be:
287800 - 184000 = 103800Correct option is D.
Answer:
Cost of Tammy's house =$184000
Rate of interest = 3.5% per annum
After 13years price will be
[tex]P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768[/tex]
Total profit= $(287767-184000)= $103768
D. $103800 is the right answer.
a) Rotation, then reflection
b) Translation, then rotation
c) Rotation, then translation
d) Translation, then reflection
Answers
Which model represents the product 3/4 x 1/3
Answers
Answer:
The first one
Step-by-step explanation:
Raul sells fancy new TVs. They cost $600. He sells the TV for $900. What is his percent markup? show your work
Answers
Answer:
His percent markup is 150%
Step-by-step explanation:
Simplify the expression in e^5
Answers
Answer:
Step-by-step explanation:
ok im not sure if this is it but 148.41315910
Answer:
148.4
Step-by-step explanation:
pls answer each correctly
and show the workings
Answers
Answer:
24)
[tex] \frac{4}{5} [/tex]
[tex]25) - \frac{4}{5} [/tex]
[tex]14)1[/tex]
15)19
16)5
17)3
18)5√5
19)8n²√2
Dave and Sue share a pizza in the ratio 2:3.They eat it all.
a. What fraction of the pizza did Dave eat?
b. What fraction of the pizza did Sue eat?
Answers
Answer:
a.5/2
b.5/3
because dave eat 2 of the pizza pices from 5 pices
and sue eats 3 of the pizza pices of 5
Zee wants to make 2 liters of a special drink for a party. She squeezed the eight lemons she had and got 0.375 liters of lemon juice. She had 0.35 liters of cranberry juice, and 1.2 liters of water.How much of the special drink can she make? How much more or less than 2 liter will she have
Answers
Answer:
1. 1.925 Liters
2. 0.075 Liters less than the 2 Liter of special drink
Step-by-step explanation:
Step 1
Quantity of lemon juice = 0.375 Liters
Quantity of cranberry juice = 0.35 liters
Quantityof water = 1.2liters
Total Quantity of Special drink = 0.375 L+ 0.35L + 1.2 L= 1.925 Liters
Step 2
But since she wanted to make 2 Liters of the special drink she will have
2 Lter - 1.925L= 0.075Liters less than the initial 2 Liter of special drink planned.
Answer:
a. 1.925 litres
b. 0.075 litres less
Step-by-step explanation:
a. How much of the special drink can she make?
To find out the quantity of juice produced, add the component juice quantities and the water:
= 0.375 + 0.35 + 1.2
= 1.925 litres
b. How much more or less than 2 litres will she have?
= 2 - 1.925
= 0.075 litres less
3a^4b^-2c^3 simplifed