Answer:
f(n) = 2.8n + 0.7
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
x is the inputf(x) is the outputLet us solve the question
∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where
a[tex]_{n}[/tex] is the nth term ⇒ outputn is the number of the term ⇒ input→ To write it as a function replace a[tex]_{n}[/tex] by f(n)
∵ a[tex]_{n}[/tex] = f(n)
∴ f(n) = 3.5 + 2.8(n - 1)
→ Simplify the right side to make it in the form of the function above
∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)
→ Remember (+)(-) = (-)
∴ f(n) = 3.5 + 2.8n - 2.8
→ Add the like terms in the right side
∵ f(n) = 2.8n + (3.5 - 2.8)
∴ f(n) = 2.8n + 0.7
Find the area of the shaded region. Round your answer to the nearest hundredth.
6 m
IT T
24 m
The area is about
square meters
The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.
Area of a circle
area = πr²
where
r = radius of the circleThe area of the shaded portion is the difference of the area of the large and small circle.
Therefore,
area of the large circle = πr²
area of the large circle = 3.14 × 24²
area of the large circle = 3.14 × 576
area of the large circle = 1808.64 m²
Therefore,
area of the small circle = 3.14 × 6²
area of the small circle = 3.14 × 36
area of the small circle = 113.04 m²
The area of the shaded region = 1808.64 - 113.04 = 1695.6 m²
learn more on area here: https://brainly.com/question/16761235
The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
Express the vector:
a) BA
b) BC
Answer:(a) BA = (-3,2) (b) BC = (-9,6)
Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2). (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).
Find the x- and y-intercepts of 4x-9y=-12
Here is a Floor plan of a house. What is the approximate area of the home, including the balcony? Explain/show your thinking.
Answer:
it is easy figure it out
Step-by-step explanation:
confused with preimeter
To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)
what is the anser to the equation 2^{2x+2} = 2^{3x}
A) x = 2.5
B) x = 1
C) x = 2
D) x = -2
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Ana swam -21ft below sea level. Tisha swam -28ft below sea lev who swam the farthest from sea level? I choose Ana but I don’t know I might be wrong..
Answer:
You're correct
Step-by-step explanation:
-21 > -28
-21 is bigger than -28 so ana did swim further
what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)
Answer:
64m2+2m+255
Step-by-step explanation:
Solve k−7≤0. Graph the solution
Answer:
k ≤ 7
Step-by-step explanation:
solve for x and y and explain
Answer: x=9 and y=9
Step-by-step explanation: Y is in the same spot as x! Good luck! :D
Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!
Answer: (16/25)
Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.
Kaitlyn loves to read. She reads 90 pages in half an hour. How many pages does she read per minute?
Answer:
3 pages/minute
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
a hour is 60 minutes so half of that is 30 30÷90=3
How many 3 or 8 are in 5 over 4
Please help
Answer:
[tex]3 \frac{1}{3}[/tex]
Hope this helps.
Step-by-step explanation:
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
CAN SOMEONE PLEASE HELP ME???!!!
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
Can someone please help me get this answer correct?
Answer:
I'm pretty sure that would be a rectangle
Step-by-step explanation:
I just graphed it
ASAP like now I need help!!!!
Answer:
(5x + 40), (7x + 8), (10x)
Step-by-step explanation:
Ok, I'm not completely sure, I'm taking a bullet here. But lemme know what you get
Find the slope and the y-intercept of the line.
5x - 4y= -8
Write your answers in simplest form.
Answer: The slope is 5/4 and the y intercept will be 2
Step-by-step explanation:
First convert the equation to slope intercept form ( y = mx+b) where m will be the slope and b will be the y intercept.
5x - 4y = -8 Subtract 5x from both sides
-5x -5x
-4y = -5x - 8 Divide both sides by -5
y = 5/4x + 2
Calculate the volume of the following shape.
8cm
20cm

Answer:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
So :
Step-by-step explanation:
[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]
Answer:
Volume = 4021.24 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
What is the answer of this q ❓
Answer:
68Step-by-step explanation:
lets mijdkdefbdhnrr
1,100÷22. I know the answer but I am kinda struggling on how that is possible I checked it on paper but I got the wrong answer every time so could you please explain it to me.
Answer:
50 is the answer to this question
Answer:
50
Step-by-step explanation:
Well, you're having trouble with how it's supposed to be 50 right? So I suggest breaking it down a little bit.
As you see:
1100 ÷ 22
1100 and 22 are both divisible by 2 so if we divide both numbers by 2 you get:
550 ÷ 11
now try solving from there!!
If you still don't get it here:
firstly 11 goes into 5 zero times so put nothing
next does 11 go into 55? Yes! it does so how many times does it go into 55?
well let's see: 11 + 11 + 11 + 11 + 11 = 55
now if we count how many 11s there are there is 5! so then you put:
5_
now lets see the next number is 0 and does 11 go into 0? Nope! so we just put:
50 and that is your answer!!
Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?
Answer:
60 minutes
Step-by-step explanation:
Time taken to rake 12ft² = 10 minutes
Area of Mindy's rectangular path :
Area of rectangle = Length * Width
Dimension of Mindy's rectangular path = 9ft by 8ft
Area = 9ft * 8ft
Area = 72ft²
Hence, it will take Mindy;
(Area of Mindy's path / 12 ft) * time taken
(72ft² / 12ft²) * 10 minutes
6 * 10 = 60 minutes
Please help 30 points
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Step-by-step explanation:
According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.
Note that the two values of Shop B (10 and 11) are alot lower than the other values.
Thus the correct option is Mean for shop A and Median for shop B.
Austin Moore has been working in a factory for 28 years. He is preparing to retire. His pension is calculated on the average of his last 3 years’ salaries where he earned $48,592, $47,590, and $47,710. His employer will give him 1.8% of that average for each year he worked. Calculate his pension.
Answer:24,173.856
Step-by-step explanation: you calculate the average of the last 3 years then find 1.8% of that number and then multiple by 28 years to find his total pension
Answer:
★ The answer is 24,173.856
Step-by-step explanation:
Hope you have a great day
What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3
Answer:
The answer is A) x equals 3
you answered 6 out of 11 questions on your test. what is your score?
Answer:
54
Step-by-step explanation:
.......................
Answer:
54
Step-by-step explanation:
What is the probability that a number selected from the numbers (1, 2, 3,........,15) is a
multiple of 4?
yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it
Answer:
The average rate of change is 4.
Step-by-step explanation:
Average rate of change is simply a fancy way of saying "find the slope".
So for slope, we use (y2-y1)/(x2-x1).
(3-(-13))/(2-(-2))
16/4
4
ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC
Answer:
BEC°
Step-by-step explanation:
complementary means "to add up to 90°"
90° - 34° = 56°
the Z confused me for a bit, then figured out you tried to type in the angle sign.
Solve the following inequalities and sketch a
graph of each solution.
a 7 - 2x 54
b 4r + 16x - 8
c-3x + 5 > 0
Answer:
Step-by-step explanation:
A= - 101
B = 4( r + 4x - 2 )
C = x < 5/3
I hope this helps. Best of luck.
