Answers
Answer:
4) a₁₅ = 128
5) B. [tex]a_n=a_{n-1}+6[/tex]
Step-by-step explanation:
4)
This is an arithmetic sequence, where all terms have a common difference:
[tex]a_n=a_1+(n-1)d[/tex]
Here, the common difference is 9.
[tex]11-2=9\\20-11=9[/tex]
Use that to write the equation and solve for a₁₅:
[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]
5)
This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:
[tex]a_n=a_{n-1}+d[/tex]
This simply states that each term is d more than the term before it.
Here, the common difference is 6:
[tex]2--4=6\\8-2=6\\14-8=6[/tex]
And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]
Related Questions
The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch 88 and tag them. A month later, they capture 600 wallabies and notice that 44 have tags. To the nearest viole number, what is the best estimate for the TOTAL wallaby population using ratios?
Answers
The best estimate for the total wallaby population is 1200.
Since to monitor the wallaby population, scientists catched 88 and tag them, already a month later, they captured 600 wallabies and noticed that 44 had tags, to determine what is the best estimate for the total wallaby population using ratios, the following calculation must be done:
44 = 600 88 = X 88 x 600/44 = X 1200 = X
Therefore, the best estimate for the total wallaby population is 1200.
Learn more about maths in https://brainly.com/question/18629331
What is the value of (-a) to the 4th power / (-a) to the 3rd power
Answers
Step-by-step explanation:
(-a)⁴ / (-a)³ = -a
since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)
4 - 3 = 1
so, the exponent 1 remains.
it works also, if we process the exponents first
(-a)⁴ = a⁴
(-a)³ = -(a³)
a⁴/-(a³) = a/-1 = -a
If $7.80 if for 6 pairs of socks then how much is 1 pair of socks
Answers
Answer:
One pair of socks would be 1 dollar and 30 cents
Step-by-step explanation:
you divide the price of the socks by how many socks there are to get the answer.
#1
Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197
Please help will mark as brainliest
Will report if any links
Answers
Answer:
= 188, x = 7.89, s = 2.23
Step-by-step explanation:
= 188, x = 7.89, s = 2.23
NEED HELP ASAP PLS ^^
Rearrange this equation
y+x=2
Answers
Answer:
y=-x+2
Step-by-step explanation:
y+x-x=2+x
y=-x+2
Between 11 P.M. and 8:10 A.M., the water level in a swimming pool decreased by 5/24 in. Assuming that the water decreased at a constant rate, how much did the water drop each hour?
Answers
Answer:
1/44 inches per hour
Step-by-step explanation:
there are 9 hours and 10 minutes during which water decreased by 5/24"
9 hrs, 10 min can be converted to 9 1/6 hours (10 min is 1/6 of 60 min)
5/24 ÷ 9 1/6 = 5/24 x 55/6
5/24 x 6/55 = 1/44
Which is the most accurate way to estimate 66% of 14?
Answers
Answer:
9.1
Step-by-step explanation:
Typically when a question starts with which that means there are several options to choose from. Or multiple choice. Since you haven't provided that here, I'll tell you how I would estimate it.
50% of 14 is 7
10% of 14 is 1.4
5% of 14 is 1/2 of 10% of 14 which is 0.7
50% + 10% + 5% = 65%
Add them together: 7+1.4+0.7 = 9.1
Find the area of ΔABC.
A)21.93
B) 37.20
C) 29.77
D) 18.6
Answers
Answer:
Option D is correct
Step-by-step explanation:
First, let's find side BC by using Pythagoras theorem.
Given:
Hypotenuse = 9 unitsSide 1: 7.8 unitsSide 2: BC=> 9² = 7.8² + x²
=> 81 = 60.84 + BC²
=> BC² = 20.16
=> √BC² = √20.16
=> BC = √20.16
=> BC = 4.48998886413 (Using calculator)
=> BC ≈ 4.49 (Estimated)
Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.
=> 1/2(Perimeter) = S
=> Perimeter: Hypotenuse + Side 1 + Side 2
=> 7.8 + 9 + 4.49
=> 21.29 = Perimeter
=> 1/2(21.29) = S
=> 10.645 = S
=> √s(s - a)(s - b)(s - c) = Area of triangle
=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)
=> √10.645(1.645)(6.155)(2.845)
=> √10.645 x 1.645 x 6.155 x 2.845
=> √306.635120999 (Using calculator)
=> √306.64 (Estimated)
=> 17.5111393119 (Using Calculator)
=> 17.51 units² (Estimated)
We can see that option D is the closest option. Therefore, Option D is correct.
If Option D was incorrect, then my second opinion is A.
If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.
Answer:
answer is d) 18.6
Step-by-step explanation:
area = 1/2ab sin ∅
a= 9
b = 7.8
so it's
1/2 ×7.8 × 9 sin 32
use your calculator to get 18.600 unit squared
*we can also use the heroes formula*...
Please helppppp I neeed to pass this class
Answers
Answer:
(x+8, y+ -2)
Step-by-step explanation:
Actually, it would be (x+8,y-2) but the written part already has a + soo...
However, if you wish to complete problems like this in the future, pick one corner of the polygon and count how many places you mover right or left (x-axis. Right is going to be addition and left is going to be subtraction) and how many you move down or up (y-axis. up being addition and down being subtraction).
Solve the proportion as a whole number. x =
7/3=x/27
Answers
The information is on the image
Answers
-16
hope this helps
A grocery store can purchase Sugar Specks cereal for $2.00 per box. If the store marks the cereal up by 5%, what will it sell each box of Sugar specks for?
Answers
Answer:
$2.10
Step-by-step explanation:
Answer:
$2.1
Step-by-step explanation:
2 x 0.05 = 0.1
5+0.1 = $2.1
what is the slope of the line through (0, 1) and (-1, -3)
Answers
Answer:
A. 4
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-4}{-1}[/tex]Simplify: [tex]\displaystyle m = 4[/tex]Answer:
The answer is A. 4
Step-by-step explanation:
Step 1: DefineIdentify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope mSimply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]:[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]
[Order of Operations] Evaluate:[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]
Simplify: [tex]\displaystyle m = 4m=4[/tex]what is x????
please help!!!!
Answers
Answer:
x = 9
Step-by-step explanation:
4x + 38 = 10x - 16
The sum of two opposite interior angles is equal to the opposite exterior angle.
4x + 38 = 10x - 16
38 = 10x -16 - 4x
38 = 6x - 16
38 + 16 = 6x
54 = 6x
Divide both sides by 6
x = 9
While flying against the wind, the plane covered 1800 km in 2 hours and 40 minutes. On the return flight it spent 16 minutes less because the plane was moving on the direction of the wind. What was the speed of the wind and the speed of the plane?
Answers
Answer:
PLANE SPEED --
While flying against the wind - 675 km/h
While flying along with the wind - 750 km/h
WIND SPEED --
Speed of the wind - EXPLANATORY LOOK AT ABOVE DATA
Step-by-step explanation:
If you need the explanation, just comment yes :)
It's a bit long, so I'm not sure if you just wanted the answer or the whole step-by-step explanation.
2.48 rounded to the nearest hundredth pl
Answers
Answer:
2.50
Step-by-step explanation:
2.50 might be the answer
Solve for a, round your answer to the nearest hundredth:-3(a + 9) - 5(a - 5) = 8
Answers
Answer:
22
Step-by-step explanation:
3(a+9)-5(a-5)=8
3a+27-5a+25=8
3a-5a+27+25=8
-2a+52=8
-2a=8-52
-2a=-44
a=-44/-2
a=+22
A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is
Answers
Answer:
A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...
Step-by-step explanation:
..right ya ???
Mang Andres is going to put eggs in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andres can put using the trays?
correct answer=brainliest and likes (the second person will only get likes and rate)
nonsense=report
Answers
Answer:
1
Step-by-step explanation:
The LCF of 6 and 12 is 1
Hope it helps
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
1.68 divided by what equals 0.28
Answers
Answer:
Step-by-step explanation:
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y = (x - 5)(5x + 4)-5x^2
Answers
Answer:
the constant term is: -20
quadratic term is: -5x^2
Step-by-step explanation:
A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is
Answers
Answer:
11
Step-by-step explanation:
The formula for area is l * w = a (length * width = area)
4 is our length, and 44 is the area, so the equation turns to this:
4 * x = 44
To solve for x, just divide 44 by 4.
44 / 4 = 11.
Now we enter that into our equation so it looks like this:
4 mm * 11 mm = 44 mm^2.
Hope this helped :)
HELP PLEASE!!! NEED NOW
Answers
Answer:
12
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x = 83°Step-by-step explanation:
[tex] {x}^{o} + {75}^{o} + {97}^{o} + {105}^{o} = {360}^{o} \\ {x}^{o} + {277}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {277}^{o} \\ {x}^{o} = {83}^{o} \\ [/tex]
Translate point C(-1,-2) using (y,x) -> (x+3,y-5) and then reflect over the x-axis
Answers
Step-by-step explanation:
Plot the point.
-1+3=2 and -2-5=-7
this is your new plot, (2,-7)
move the dot an equal distance across the x-axis, which is up and down.
1. Ram has 50 apples. He distributed them
to his four siblings in the ratio 5:2:2:2. Find
how many apples will each get?
I
Answers
121/2
Step-by-step explanation:
50/4
it goes 12because of 48.
and then it will remain 2
Choose the correct answer to 1,889 ÷ 36.
52 R17
51 R53
52 R15
42 R17
Answers
It is the right answer
What is the value of the expression 18-2 times ( 4 +3)
Answers
Answer:
1 2/7
Step-by-step explanation:
18 - 2x(4+3) =
combine like terms in the parentheses
18 - 2x(7) =
Multiply
18 - 14x (This is the value of the expression)
We can solve for x by setting it equal to zero
18 - 14x = 0
-14x = -18
x = -18/-14
x = 1 2/7
Sixty-seven percent of 237 people own
their homes. About how many people
own their homes?
Answers
Answer:
about 159 people own their homes
(158.79)
Step-by-step explanation:
When you want to find the percentage of a number, multiply that number by the percentage's decimal
example: 20% of 300
20%=20/100=0.20
300×0.20=60
Your welcome!
if you can, please mark brainliest :)
please help!!! ILL GIVE U BRAINLIEST.
Answers
Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !