Answer:
The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The terms of the sequence are 1, -3, 9, -27
∵ -3 ÷ 1 = -3
∵ 9 ÷ -3 = -3
∵ -27 ÷ 9 = -3
∴ There is a common ratio between each two consecutive terms
∴ The sequence is geometric
∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where
a is the first term r is the common ratio∵ The first term is 1
∴ a = 1
∵ The common ratio is -3
∴ r = -3
→ Substitute them in the formula above
∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]
∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
∴ The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
Diana is going camping with her family. Their campsite is 7/8 miles away. They walk at a steady speed of 2 1/2 mi/h. How many minutes will it take them to get to the campsite
Answer:
21 minutes
Step-by-step explanation:
Using the formula to calculate the time expressed as;
Speed = Distance/Time
Given:
Distance = 7/8 miles
Speed = 2 1/2 mi/hr
Required
Time in minutes
Substitute the given values into the formula;
Recall that:
S = D/T
T = D/S
Time = 7/8 ÷ 2 1/2
Time = 7/8 ÷ 5/2
Time = 7/8 * 2/5
Time = 7/4 * 1/5
Time = 7/20 hour
Since 1 hour = 60 minutes
7/20 hour = (7/20 * 60)minutes
7/20 hour = 7 * 3
7/20 hour = 21 minutes
Therefore it will take them 21 minutes to get to the campsite
Solve for EG. A) 18 B) 12 9 D) 6
Answer:
It's be 9. The opposing line is 8, and because it's slightly offset, I'd wager it's 9.
Let me know if you need more help! :)
Giving brainlest to the first person who answers correctly
Answer:
1/2
Step-by-step explanation:
slope is
m= y2-y1/ x2-x1= 6-5/2-0=1/2
Miguel wants to have at least $500 in his account to spend over the summer. He already has $150. If he deposits $25 each week, write and solve an inequality to determine how many weeks it will take him to reach at least $500.
Answer:
listen to the other guy
or girl
Step-by-step explanation:
It will take at least 14 weeks to have at least $500.
What is inequality?The relation between two unequal expressions is defined as inequality.
Given that, the person has $150 in his account and he deposits $25 each week into this account.
The amount in the account after w weeks is:
150 + 25w
Let the amount in the account after w weeks is at least $500, then it follows:
150 + 25w ≥ 500
25w ≥ 500 - 150
25w ≥ 350
w ≥ 14
Hence, it will take at least 14 weeks to have at least $500.
To learn more about inequalities, click here:
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On a piece of paper, graph yz-2x-2. Then determine which answer choice
matches the graph you drew.
A
B
с
5
(-2,2)
(-2,2)
(-2,2)
(-2,2)
-5
0.-23
0.-27
(0.25
0.-235
-5
A. Graph D
B. Graph B
O C. Graph A
D. Graph C
Answer:B
Step-by-step explanation:
Option B is correct, the inequality y≥-2x-2 is represented in the second graph or graph B.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given inequality is y≥-2x-2
y greater than or equal to minus two times of x minus two.
y≥-2x-2
The line passes through the points (-2, 2) and (0, -2).
As there is given greater than or equal to the line should be solid not dotted.
Greater than or equal to means we have to shade away from the origin.
The second graph satisfy all these properties.
y≥-2x-2 is represented in the second graph.
Hence, the inequality y≥-2x-2 is represented in the second graph.
To learn more on Graph click:
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Mai earns $7 an hour mowing lawns. Her friend Priya earns $8.50 an hour. If Mai started with $15, how many hours will it take both friends to make the same amount of money?
7x+15=8.5x
x=10
Standard form:
−3
2
x + 15 = 0
Factorization:
−3
2
(x − 10) = 0
Solutions:
x = 30
3
= 10
Please help me with this question I’ll give brainliest for whoever is right
Answer:
5,-4, 2,-4
Step-by-step explanation:
this is the correct answer luv
Quick I need the answer
Answer:
x = 25!
Hope This Helps!
when is it best to use the graphing method to solve a system of equations????
Answer:
graphing by hand it probably can help or you could do it your way if u want
Find the product (у- 2)(5у2 + 3y - 1)
Answer:
5y^3 - 7y^2 - 97y + 2 <<<< Answer
Step-by-step explanation:
(у- 2)(5у2 + 3y - 1)
Multiply the three terms by y
5y^2 * y + 3y * y - 1*y = 5y^3 + 3y^2 - y
Multiply the three terms by - 2
-2*5y^2 -2*3y - 2*-1
-10y^2 - 6y + 2
Now combine the like terms
5y^3 + 3y^2 - 10y^2 - y - 6y + 2
5y^3 - 7y^2 - 97y + 2
n + 1 < −8
the solution of the inequality is ____?
Answer:
n < -9
Step-by-step explanation:
Subtract 1 from both sides: n < -8 -1
Simplify -8 -1 to -9
n < -9
Brainliest Please!!?!!!
- Hermionia
Shayla is going to paint a wall. The wall is 23 feet long by 8 feet high. A gallon of paint costs $11 and covers 320 square feet of area.
If the wall requires two coats of paint, what is the minimum cost of painting Shayla's wall?
Answer:
$12.65
Step-by-step explanation:
Given that the wall is 23 feet long and 8 feet high.
As the wall is rectangular, so the area of the wall,
A=23x8=184 square feet.
As a gallon of paint costs $11 and covers 320 square feet of area, so
Cost of paint for 1 square foot area = $ 11/320 per square foot.
Cost for 1 coat of paint = $ (11/320)x184
Cost for 2 coat of paint = $ (11/320)x184x2= $ 12.65
Hence, cost requires for 2 coats of paint is $ 12.65.
What is 2792 + 9383790202
Answer:
9383792994
Step-by-step explanation:
I the answer is 9383792994
Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?
Answer:
there are 120 apples in each basket and 5 are left over
Step-by-step explanation:
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship?
Answer:
There's no options
Step-by-step explanation:
Answer:
Options please
Step-by-step explanation:
HELP MEEE PLEASEEEEE!!!!! I NEED HELPPP!!
Which the ordered pair that is a solution of the system for linear equations?
Answer:
(2,2)
Step-by-step explanation:
Lets check:
(2,2)
2(2)-2=2 Correct !
2=-2+4 correct !
Hope this helps plz hit the crown :D
Answer:
i believe the answers (2,2)
Step-by-step explanation:
if you add it in for y and x you will see it right
Solve for a!!!!!!!!!!
Answer:
4
Step-by-step explanation:
the fraction has to equal to 2
-2+4=2
so a/2=4
or 4/2=2
Put the following numbers in order from least to greatest.
0.52
0.6
14/25
57%
Answer:
57% 0.52 14/25 0.6
Step-by-step explanation:
all you have to do is change all of the numbers into decimals
hope this helps :)
First, convert each to the same (#/#, 0.#, or #%). I'll use decimals (usually the easiest). 0.52 and 0.6 remain the same. 14/25 may seem hard at first, but you can change it to 56/100 (14*4/25*4=56/100), then you can use that to convert to 56%. Multiply by 0.01, or divide by 100, remove the %, and you will get 0.56. For 57%, you just need to do repeat the last step again, which will give you 0.57. From least to greatest, the list would be 0.52, 0.56, 0.57, and 0.6, or 0.52, 14/25, 57%, and 0.6.
The graph shows the cost of buying tickets to a concert.
What is the cost of buying 10 tickets?
Sara says, "If you subtract 14 from my number and multiply the difference by - 3, the result is – 42."
What is Sara's number?
Sara's number is |
Answer:
Sara's number is 28
Step-by-step explanation:
Let's assign Sara's number the variable x and solve this equation using the information provided.
"If you subtract 14 from my number"
x - 14
"and multiply the difference by - 3"
-3(x - 14)
"the result is – 42."
-3(x - 14) = -42
Now we can solve from here for x.
-3(x - 14) = -42
x - 14 = 14
x = 28
Olivia got a 72% on her quiz, there are 25 questions how many did she get right and how many did she get right
Answer:
18
Step-by-step explanation:
72% of 25 is 18.
Hope this helped! :)
Aida applied the distributive property to write the equivalent expressions below.
15 + 21 = 3 (4 + 8)
What is Aida’s error?
Aida used 3 as the factor, which is not common to 15 and 21.
Aida did not correctly divide by the common factor to get (4 + 8).
Aida did not apply the correct operations to the expressions.
Aida wrote two expressions that are not equivalent.
Answer:
The answer is b
Step-by-step explanation:
Answer:
Aida's error was B
Step-by-step explanation:
(3x2 - 2x + 5) - (3x2 - 8x + 2) =
What is the solution to the system graphed below?
Answer:
I'm pretty sure it is (2,0)
What are the names of three collinear points?
What is the truth value of "If yesterday was Tuesday then today is Wednesday"
Answer:
the required truth value of the statement will be:
p q p → q
T T T
Step-by-step explanation:
A conditional statement contains two parts:
hypothesis (if) conclusion (then)We know that the truth table for the conditional statement is:
p q p → q
T T T
T F F
F T T
F F T
Given the statement that "If yesterday was Tuesday then today is Wednesday" indicates that the hypothesis is true and the conclusion is also true. Meaning that we only get Wednesday if the previous day was Tuesday.
Thus the required truth value of the statement will be:
p q p → q
T T T
what is 574 ÷ 82 my math say use compatible numbers to round first then awnser the actual queston
Answer: 7 explanation:574[tex]%[/tex]%82=7 7x82=574
Answer:
compatible answer= 7.5
Real answer: 7
Step-by-step explanation:
In November mr.Lee’s students read 50 books. In December they read 40 books what is the percent increase or decrease in the number of books they read?
Answer:
percentage decrease,20%
Step-by-step explanation:
50_40 books=,10 bus
10|50 ×100%=20%
Answer:
decrease 20% trust me i got it right
Step-by-step explanation:
HELP PLEASE!
a car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft
a. 44 ft/s
b. 95 ft/s
c. 5720 ft/s
d. 0.0181 ft/s
I'm pretty sure its c
because 5280x65=343200
and 343200/60 is 5720
Answer: It’s 95 ft/s
Step-by-step explanation:
quiz
if hector ran 35.5 kilometers last week and 22.5 kilometers this week how many meters did he run over the last two weeks
Answer:
58000m
Step-by-step explanation:
he ran 35.5km+22.5km=58km
58km(1000m/km)=58000m