Answers
Answer:
[tex]a_n=-8+(n-1)-7[/tex]
Step-by-step explanation:
General arithmetic sequence formula: [tex]a_n=a_1+(n-1)d[/tex]
where [tex]a_1[/tex] = first term, and d = common difference.
The first term is -8
And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.
To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula
General formula: [tex]a_n=a_1+(n-1)d[/tex]
We have [tex]a_1=-8[/tex] and d = -7
So the formula to find the nth term would be
[tex]a_n=-8+(n-1)-7[/tex]
Related Questions
A tire from Karens car is shown below Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi= 22/7
Answers
Answer:
264 inches
Step-by-step explanation:
Circumference = pi x diameter
28 x 22/7 = 88 (in)
88 x 3 = 264 (in)
The closest distance traveled by Karen's car is, 18.86 feet.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We know that;
One rotation of the tire is equal to the circumference of the tire.
And, The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd
where, π = 22/7
d = diameter
Here, The size of one revolution = 2 x 22/7
= 44/7 feet
Hence, The distance covered in one rotation of the tire is 44/7 feet
So, The distance covered in 3 rotations = (44/7) x 3
= 18.86 feet
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ2
The complete question is this,
A tire from Karen's car is shown below. Which is the closest to the distance traveled, in feet, after 3 full rotations of the tire? The diameter is 2 feet, by the way.
Does the equation y = x represent a function?
Answers
I really need help if u want to help me I will be ur best friend lol help me pls girls and boys! also, i neeeeeed you to not just use this for points, i actually need help ya'll
Answers
Answer:
denise:39
Denise:19.5
David:19.5
Step-by-step explanation:
They split the pears between the two. it shows that n is 39 and the both had pears
denise:19.5
David:19.5
Answer:
denise:39
Denise:19.5
David:19.5
Step-by-step explanation:
look at the other person srry
What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??
Answers
Step-by-step explanation:
50/50 chance of choosing one or the other because there is only two options
Natalia is moving into a new house. All together, her furniture weighs 2,896 pounds. If it takes 2 trucks to carry all of Natalia's furniture, what is the average weight load on each truck?
Answers
Answer:
1448 Pounds per truck
Step-by-step explanation:
Divide 2896 by 2
If you haven't learned long division yet, try breaking up the number and dividing it by 2 like this:
2000/2=1000
800/2=400
90/2=45
6/2=3
Then, add them up and solve from there: 1000+400+45+3=1400+48=1448
Answer:
1448
Step-by-step explanation:
2,896/2 = 1448
Hope this helps!
Giovanni can read 210 words per minute. If there are approximately 540 words on a page, about how many pages can he read in 3 hours? Round your answer to the nearest whole number.
462 pages
122 pages
233 pages
70 pages
Answers
She can read 70 pages in 3 hours.
What is proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are Given:
Giovanni can read 210 words per minute and, books contain 540 pages
So, she can read the portion of book
=210/540
= 21/54 per minutes
= 21/54 x 60
= 23.3 pages in one hour
and in 3 hours she can read
= 23.3 x 3
= 70 pages in 3 hours
Learn more about unitary method here:
brainly.com/question/22056199
#SPJ2
Which point on the number line represents Negative three-fourths?
A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D
Answers
Answer:
A
Step-by-step explanation
i am biggest brain
Does the following relationship represent a function?
Answers
Answer:
yes
Step-by-step explanation:
the output can have more than one input
the input cannot have more than one output
I hope this helps!!
Answer:
No. it does not represent a function.
Step-by-step explanation:
hope this helps.
If each unit on the grid represents 2.5 inches, find the height of the triangle.
Answers
Answer:
15
Step-by-step explanation:
on edge
I NEED HELP ASAP PLEASE
Drag each graph to the correct location on the table. Identify the scatter plots that show a positive association, a negative association, or no association.
Answers
Graph 2 negative
Graph 3 no correlation
Graph 4 positive
Graph 5 no correlation
Graph 6 positive
(Arranged from first to last)
Im doing this till 3:30
Answers
Answer: C
Step-by-step explanation:
First set greater than 300 since Zack has to make more than 300 to make a profit. The equation is the amount he makes (n) - cost of supplies ($32.50). He is completing 4 rooms so multiply (n - 32.5) with 4.
The equation would be 4 (n - 32.5)>300
Now to solve for n, divide 4 on other sides, then add 32.5 to both sides.
10 points ... for anyone
Answers
Answer:
gimmethat
Step-by-step explanation:
Your friend finds the value of 8⁴. 8⁴ = 8x4 = 32 Is your friend correct? Explain
Answers
I would say my friend is correct. I think this because when doing function tables, i would often say x2, x5, etc. This would mean that it would be X x 2, and X x 5. If you replace the "x" and turn it into 8, than I would think it would mean the same thing. So, yes. My friend is correct.
I'm not sure if this was what you were looking for, but I hope this helps somehow!
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
Answers
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
What is the solution to this equation?
−6(x+7)=−30
Enter your answer in the box.
Answers
Answer:
x = -2
Step-by-step explanation:
-6(x + 7) = -30
distribute the -6
-6 * x = -6x and -6 * 7 = -42
-6x - 42 = -30
add 42 to both sides
-6x = 12
divide both sides by -6
-6x/-6 = x and 12/-6 = -2
we're left with x = -2
The following table shows the number of visitors to Yellowstone National Park from 2000 to 2006.
What was the percent of change in the number of tourists between 2000 and 2001?
Answers
Answer:
79,707
Step-by-step explanation:
2,838,233 - 2,758,526= 79,707
-2,758,526
——————
79,707
HELPPPPP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLS
Max is scuba diving at an elevation of −64.5 feet when his friend signals to come higher. Max makes two ascents, each an equal distance, to reach an elevation of −21.4 feet, where his friend is located. What was Max's elevation after his first ascent? Enter your answer as a decimal in the box.
Answers
Answer:
-42.95ft
Step-by-step explanation:
First, find the change in elevation between where Max starts and where his friends are:
-21.4ft-(-64.5ft)=43.1ft
Since we're told that he makes two equidistant ascents, we know that each ascent would be equal to:
43.1ft/2=21.55ft
Now we take the height that he started at and add the height that he would gain in his first ascent
-64.5ft+21.55ft=42.95ft
Which expression use the associative property and make it easier to evaluate 6 (3/2 x 1/5)
Answers
Answer:
D
Step-by-step explanation:
Associative property moves the parentheses, but the numbers stay in the same order.
Meghan made [tex]$458[/tex] in her last paycheck. If she would like to
save at least [tex]$175[/tex]of it, how much can she spend?
X - How Much She Can Spend
Answers
Answer:
She would be able to spend 283
Step-by-step explanation:
458-175=283
Hope this helps!
Meghan can spend 283
1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know
2. Convert this length to inches
Answers
Answer:
4 feet I think
Step-by-step explanation:
Question: 5/12 − 2/5= 1/60
A. The answer 1/60 is not reasonable because 5/12 is closer to 1 than to 1/2, and 2/5 is closer to 0 than to 1/2, making the difference close to 1/2.
B. The answer 1/60 is not reasonable because 5/12 is closer to 1/2 than to 1, and 2/5 is closer to 0 than to 1/2, making the difference close to 1/2.
C. The answer 1/60 is reasonable because both fractions are closer to 1/2 than they are to 0, making the difference close to 0.
D. The answer 1/60 is reasonable because both fractions are closer to 1 than they are to 1/2, making the difference close to 0.
Answers
Answer:
C
Step-by-step explanation:
It is reasonable: the answer is both reasonable and correct because 5/12 - 2/5 = 1/60. This is because using cross multiply, 5 x 5/12 = 25/60, 12 x 2/5 = 24/60. 25/60 - 24/60 = 1/60.
Both are closer to half: half out of 12 would be 6/12 and 0 would be 0/12, so 5/12 is closer to half because 5/12 is closer to 6/12 than 0/12. Half out of 5 would be 2.5/5 and 0 would be 0/5, so 2/5 is closer to half because 2/5 is closer to 2.5/5 than 0/5.
The difference is close to 0: 1/60 is very close to 0. It's only worth 0.016.
find -3(-1.25) (I cant screenshot it sorry!) HELP PLEASE
-----------------------------------------------
-4 -3 -2 -1 0 1 2 3 4
Answers
Answer: 1.25
Step-by-step explanation:
Help plz:
10. Remove the parentheses by multiplication:
a. 6(2a - 4) =
b. x(2x + 10) =
c. 5(9x - 9) =
d. 3x(2x - x) =
Answers
Answer:
A = 12a - 24
B = 2x² + 10x
C = 45x - 45
D = 6x² - 3x²
Step-by-step explanation:
You can solve all of these by distributing the first number/variable into the parenthesis. Just multiply the number outside the parenthesis by each of the terms inside the parenthesis.
Ramiro is 3/10 as tall as the flagpole. The flagpole is 5/9 as tall as the nearby tree. The tree is 32 2/5 feet tall. How tall is Ramiro?
Answers
Answer:
5.4 feet
Step-by-step explanation:
Start with the flagpole. It is 5/9 of 32 2/5.
32 2/5 = 162/5.
5/9 * 162/5 = 162/9.
Ramiro is 3/10 as tall as 162/9.
3/10 * 162/9 = 27/5, or 5.4 feet tall
His height is 5.4 f
Thank you...
12*500 i dont feel like doing this rn
Answers
Answer: 6000
Step-by-step explanation:
12*100= 1200*5= 6000
Please help please and thank you
Answers
Answer:
The answer is 1.5
Step-by-step explanation:
The answer is 1.5
I promise I will give you a crown if you do it right.
Q. Arrange the following integers in ascending order.
a. 3902, -3923, -3454, -3345, 3623, -3212.
b. 1005, -1090, -1420, -1230, 1302.
c. -100, -110, -99, 99, 101, 110.
d. 9990, 9011, 9909, -9099, -9990, 9099.
Answers
Answer:
A) -3923, -3454, -3345, -3212, 3623 and 3902.
B) -1420, -1230, -1090, 1005 and 1302.
C) -110, -100, -99, 99, 101 and 110
D) -9990, -9099, 9011, 9099, 9909, 9990
Step-by-step explanation:
Sarah wanted to buy a TV. She had $390 in her pocket. The TV she wanted was $415; however she had a 10% off coupon. The sales tax is 6%. Does she have enough money to purchase the TV?
Answers
Answer: Sarah does not have enough money to purchase the TV.
Explanation: The total price is $395.91.
Answer:
No
Step-by-step explanation:
10% of 415
= 1/10 of 415
= 1/10 * 415
= $41.5
415 - 41.5 = $ 373.5
6% of 415
= 6% * 415
= $24.9
∴ $373.5 + $24.9 = $398.4
∴ Sarah cannot buy the TV as she is $ 8.4 short.
Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle..
8 cm along the left side of the triangle and 45 degrees in the lower left of the triangle....
more than one triangle
a unique triangle
no triangle
Answers
Answer:
(a) more than one triangle
Step-by-step explanation:
Specifying one side and one angle is not sufficient to define a particular triangle. More than one triangle can meet those requirements.
what is X-3+4*765 if X= 90
Answers
Answer: 3147
Step-by-step explanation: because ur my bestayy