Step-by-step explanation:
arithmetic sequence means every new term is the previous term plus a certain constant.
as we can see, this constant is +4 in our case.
15 + 4 = 19
19 + 4 = 23
23 + 4 = 27
...
so, we have
a1 = 15
a2 = a1 + 4 = 15 + 4 = 19
a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23
...
an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4
what is the equation of the line that passes through the point (4, 8) and has a slope of 0?
Answer:
y=8.
Step-by-step explanation:
1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;
2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8
Solve 3(x - 4) = 11x
Answer:
[tex]x = \frac{-3}{2}[/tex]
Step-by-step explanation:
3(x - 4) = 11x
Expand the brackets:
3x - 12 = 11x
Subtract 3x from both sides to isolate the -12:
3x - 12 = 11x
3x - 3x - 12 = 11x - 3x
-12 = 8x
8x = -12
Divide both sides by 8:
[tex]\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\[/tex]
Simplify fraction:
[tex]x = \frac{-12}{8}[/tex]
[tex]x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}[/tex]
Hope this helps!
34.16 divided by 2 step by step ?
Answer:
17.08
Step-by-step explanation:
Basically, this is half of 34.16, which is 17.08.
Hoped this helped.
Answer:
427/25
Step-by-step explanation:
Change to percentage: 3416/100
Simplify: 854/25
854/25 dived by 2/1 (same thing as 2)
KEEP, CHANGE, FLIP
854/25 x 1/2= 427/25
X + 3 - 3=-6 show all work
Answer:
x = -6
Step-by-step explanation:
[tex]x+3-3=-6~(Given)\\x=-6~(Combine~like~terms)[/tex]
∠A and ∠B are complementary. m∠A=29°. find m∠B.
Answer:
55 degrees
Step-by-step explanation:
Add the expressions up and set up an equation.
( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.
3 x − 6 = 90 3 x = 96 x = 32 Find angle B.
x + 23 = 32 + 23 = 55
Hope this helps, have a nice day/night! :D
Answer:
m∠B = 61°
Step-by-step explanation:
Complementary means two angles that add up to the sum of 90°.
Since we are given m∠A = 29°, subtract 29° from 90°.
90 - 29 = 61
m∠B = 61°
BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
I need help on 16 17 and 18
Answer:
Step-by-step explanation:
16. 6.9, or 69/10
17. D, 12 feet
18. 6 11/12
What is p squared in math?
HELP ASAP PLS ….. THIS IS SO CONFUSING
Answer:
-1/5
Step-by-step explanation:
-0.2
-2/10
-1/5
So just move -1/5 back from 0 .
1-3. Name the radii.
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!
help me please and thank you !
Answer:
I hope this helps.
When we round 7.80576 to 3s f, it is equal to:
solving linear systems graphically .
Answer:
D- points on one side of one of the lines
Step-by-step explanation:
I may be wrong but I believe I am correct
How would you best describe the angle pair <6 and <7
Answer:
Consecutive interior angles
Step-by-step explanation:
How would I graph this equation: 3x + 9y = −18
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
360 degrees
a.
6.28 units clockwise
c.
3.14 units clockwise
b.
6.28 units
d.
3.14 units
9514 1404 393
Answer:
b. 6.28 units
Step-by-step explanation:
The travel through 360° takes you around the full circumference of the circle. That circumference is ...
C = 2πr
Since this is a unit circle, the radius is 1, so the circumference is ...
C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)
Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.
..................................
cho tâp m của 120 số tự nhiên mà mỗi số thì chia hết cho 5 hoặc chia hết cho 7 hoặc chia hết cho 5 và 7 . Biết rằng số ấy có 71 số chia hết cho 5 và 63 chia hết cho 7. Hỏi tập M có bao nhiêu số chia hết cho 35?
Answer:
I don't understand you
Step-by-step explanation:
plss translate to English
Identify two opposite rays.
Answer:
B and D
Step-by-step explanation:
opposite rays 180° to each other
here B and D are opposite rays
Answer:
B and D
Step-by-step explanation:
Each opposite ray need 180 degree.
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°
Answer:
115
Step-by-step explanation:
[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]
how is the answer 4??
Answer:
see below
Step-by-step explanation:
log sqrt5 (25) = y
we know that loga (b) = c can be rewritten as a^c = b
sqrt(5) ^ y = 25
Rewriting sqrt(5) as 5^1/2 and 25 as 5^2
5^1/2 ^ y = 5^2
we know a^b^c = a^ (b*c)
5 ^ 1/2y = 5^2
1/2y = 2
y = 4
this graph shows how much lisa earns babysitting compared with thge number of hours she works
Answer:
For every hour she earns 12$
Step-by-step explanation:
If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!
Can-25 be expressed as a ratio in the form?
Yes
No
Answer:
-25 can be expressed as a ratio of -50/2, -75/3, etc
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Write the equation of the graphed line that has a slope of 2 and passes through the point (2,-2)
Answer:
y = 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (2, - 2 ) into the partial equation
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = 2x - 6 ← equation of line
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.
Answer:
k = 7
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle value then the median is the average of the 2 values either side of the middle.
5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31
↑ middle
Then
[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )
5k - 1 = 34 ( add 1 to both sides )
5k = 35 ( divide both sides by 5 )
k = 7
The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order
The median of the data set is 17.
The mid-terms are 2k+1 ,3k-2
(2k + 1 + 3k - 2)/2 = 17
5k -1 = 34
5k = 34 + 1
5k = 35
k = 35/5
k = 7
Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
Learn more about the median here:
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299 divided by 21 step by step
I need some help! 50 POINTS WILL MARK BRAINIEST!
Question A, Part 1,
A media company wants to track the results of it's new marketing plan, so the video production manager recorded the number of views for one of the company's online videos. Thw results of the first 5 weeks arw shown in the table.
Weeks x, 0, 1, 2, 3, 4, 5
Views F(x), 5,120, 6,400, 8,000, 10,000, 12,500, 15, 625
Write an equation to model the relationship between the number of weeks, x, and the number of views F(x). Enter the correct answer in the box by replacing the values or a and b
f(x) = a(b)^x
Part B
During the same time, the digital print manager tracked the number of visits to the websites homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.
Write an equation to model the relationship between the number of weeks, x, and the number of site visits f(x).
Enter of the correct answer in the box by replacing the values or a and b.
f(x) = a(b)^x
Part C
During their team meeting, both managers shared their findings. Complete each statement describing their combined results.
Select the correct answer from each drop down menu.
The initial number of video views was ___(A:More than, B:The same as, C:Fewer than). the initial number if site visits, and the number if video views grew by___(A:A smaller factor than, B:The same factor as, C:A larger factor than), the number of site visits.
The difference between the total number of site visits and the video views after 5 weeks is___(A:20,825, B:36,450, C:52,075, D:15,625)
Please help it'd be really helpful! I'm having a lot of issues and it's due really soon thank you!! <3
Answer:
A) [tex]f(x)=5120(1.25)^x[/tex]
B) [tex]f(x)=4800(1.5)^x[/tex]
C) see below
Step-by-step explanation:
Part A
Hopefully this formatting looks ok:
| Weeks x | Views f(x) |
| ------------ | -------------- |
| 0 | 5120 |
| 1 | 6400 |
| 2 | 8000 |
| 3 | 10000 |
| 4 | 12500 |
| 5 | 15625 |
| ------------ | -------------- |
That's my attempt at a table.
We need an equation in the form of:
[tex]f(x)=a(b)^x[/tex]
where a is the starting value and b is the growth factor.
First, check the difference between each week:
[tex]6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125\\[/tex]
Then, check the scale factor for each of the differences:
[tex]16000\div 12080 = 1.25\\2000\div 1600=1.25[/tex]
etc..
The difference grows by 1.25x each week. That is, a grow factor of 1.25.
Now that we have both the starting value and the grow factor, we can write the equation:
[tex]f(x)=5120(1.25)^x[/tex]
If you want to test it, for example, calculate for the 3rd week:
[tex]f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000[/tex]
Part B
This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.
[tex]f(x)=4800(1.5)^x[/tex]
Part C
The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).
The difference between the total number of site visits and the video views after 5 weeks is 20,825.
[tex]f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825[/tex]
The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x
How to depict the equation?From the information given, the difference in the views will be:
6400 - 5120 = 1280
8000 - 6400 = 1600
10000 - 8000 = 2000
The scale factor will be:
= 1600/1280 = 2000/1600
= 1.25
Therefore, the growth factor is 1.25.
The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.
Lastly, the difference between the total number of visits and the video views will be:
= 4800(1.5)^5 - 5120(1.25)^5
= 36450 - 15625
= 20825
Learn more about equations on:
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steve has been lifting 225 pounds during a deadlift for several weeks. during his warmup he wants to lift 60% of this weight. how much weight should he lift?
Answer:
135 lb
Step-by-step explanation:
Turn 60% into a decimal (0.60)
Then multiply 225 by 0.60
225 * 0.60 = 135 lb
Can someone double-check this to see if it's right?
Answer:
yea it is
Step-by-step explanation: