Answer:
option D
[tex]a_{1}=6561 and a_{n}=\frac{1}{3}a_{n-1}[/tex]
Step-by-step explanation:
[tex]a_{3} = 729\\\\a_{4} = 243\\\\r = \frac{a_{4}}{a_{3}}\\\\r=\frac{243}{729}\\\\r=\frac{1}{3}[/tex]
Recursive rule: Next term is obtained by multiplying (1/3) wiht the previous term
[tex]a_{n}=\frac{1}{3}*a_{n-1}[/tex]
[tex]a_{3} = \frac{1}{3}*a_{2}\\\\\\729 = \frac{1}{3}*a_{2}\\\\\\729*3=a_{2}\\\\a_{2} = 2187\\\\\\[/tex]
[tex]a_{2}=\frac{1}{3}*a_{1}\\\\\\2187=\frac{1}{3}*a_{1}\\\\\\2187*3=a_{1}\\\\a_{1}=6561[/tex]
what is this word π?
Answer:
π (Pi) is a mathematical constant.
Step-by-step explanation:
The digit π is a mathematical constant. It is interpreted as the ratio of a circle's perimeter to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is roughly identical to 3.14159.
this is the graph to my last question
Answer:
Use a graphing calc.
Step-by-step explanation:
On the graph, use (0, 0) and (2, 5) to graph the function.
Solve the equation:
2x + B= C
X=
Answer:
-3, 1
4, -2
Step-by-step explanation:
I do not understand.
Which expression is equivalent to a to the power of m divided by a to the n power
Answer:
[tex]a^{m-n}[/tex]
Step-by-step explanation:
If we have the expression [tex]m^a \div m^n[/tex], we can use exponent rules to simplify this.
Exponent rules say that [tex]x^a \div x^b = x^{a-b}[/tex]. In this case, x is a, a is m and b is n, so the same rule applied here.
So [tex]a^m \div a^n[/tex] will be equal to [tex]a^{m-n}[/tex].
Hope this helped!
472 + 278 + 694 + 73 + 217 =
O 1,734
1,824
O 1,714
O 1,634
Answer:
1734
Step-by-step explanation:
add them
Answer:
the answer to this question is 1734
The results of an experiment that Lacey is doing are recorded in the table below.
Day Number of Amoeba
1 2*1
2 2*2
3 2*3
How many amoebas will be present on the fourth day?
4
6
2
16
Answer:
16
Step-by-step explanation:
As per table we can conclude the function:
y = 2ˣSo for x = 4 we get:
y = 2⁴ = 16Correct answer choice is the last one
Answer:
16
Step-by-step explanation:
was correct.
someone solve this ?
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{9+x}{3x} = \frac{5}{6}[/tex]
6(9+x) = 5(3x)
6*9 + 6*x = 5*3x
54 + 6x = 15x
54 = 15x - 6x
54 = 9x
x = 54/9
x = 6
check:
(9+6)/(3*6) = 5/6
15/18 = 5/6
Please help :)
The answer to the problem is
provided.
Explain why the answer is correct.
Easha has 3 less than 5 times the number of quarters (1)
that Isabelle has. Which expression shows the number of quarters Easha has?
a. 31 – 5
b. 51 - 3
c. 5 - 31
d. 3 – 51
The correct answer is B.
Explain WHY this the correct
answer, make sure to show your work PLEASE :)
Answer: b. 51 - 3
Step-by-step explanation:
Given, Easha has 3 less than 5 times the number of quarters (I) that Isabelle has.
Here I is the number of quarters that Isabelle has.
Then, as per given,
Number of quarters Easha has = 5 ( number of quarters that Isabelle has) -3
= 5I-3
Hence, the expression shows the number of quarters Easha has is "5I-3"
So the correct option is b.
Plz help ASAP Will mark brainliest
Answer: 1/5
Step-by-step explanation: 2/5 - 1/5 = 1/5. So 1/5 more visitors saw the panda this month.
simplify the expression
5-2(9)|+9^2÷3
Answer:
14
Step-by-step explanation:
Simplify the following:
5 - 2×9 + 9^2/3
Hint: | Evaluate 9^2.
9^2 = 81:
5 - 2×9 + 81/3
Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.
The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:
5 - 2×9 + 27
Hint: | Multiply -2 and 9 together.
-2×9 = -18:
5 + -18 + 27
Hint: | Evaluate 5 + 27 using long addition.
| 1 |
| 2 | 7
+ | | 5
| 3 | 2:
32 - 18
Hint: | Subtract 18 from 32.
| 2 | 12
| 3 | 2
- | 1 | 8
| 1 | 4:
Answer: 14
This is pretty easy and I'll give brainliest Index fossils are useful to geologists if the fossils ____. Multiple choice question. A) have lived over a short period of time cross out B) are not easily recognized C) are not widely distributed geographically D) are scarce
Answer: B)
Step-by-step explanation:
THEY TELL THE RELATIVE AGE OF THE ROCK IN WHICH THEY OCCUR.
Find the length of AB to the nearest hundredth
Answer:
7.28
Step-by-step explanation:
It’s the hypotenuse of a right triangle, so we can use Pythagorean’s Theorem.
2²+7²=C²
4+49=c²
53=c²
c=7.28
Answer:
7.28 to the nearest hundredth.
Step-by-step explanation:
A is (-5, -4) and B is (-3,3)
The distance AB = √ [(-5 - (-3)^2 + (3 - (-4)^2]
= √(4 + 49)
=√53
= 7.2801
PLEASE HELP ME IM REALLY CONFUSED :(
Answer:
∠abc=34°
∠dbc= 44°
Step-by-step explanation:
(5x+4)+(5x-6)=78
10x-2=78
10x=78+2
10x=80
x=8
put x in each equation
∠abc= 5x8-6
40-6
34°
78-34= ∠dbc
∠dbc= 44°
Tegan needs to make 686868 more snow blocks to finish building an igloo. Write an equation for the number of blocks Tegan still needs to make, mmm, when she has completed ccc blocks. Tegan completes 333333 blocks. How many blocks does Tegan still need to make to finish the igloo?
Answer:
m = 68 - c ; 35
Step-by-step explanation:
Given the following :
Number of blocks Tegan needs to make = 68
Number of blocks completed = c
Number of blocks left to make = m
Therefore, the number of blocks 'm' left to make is given by the equation :
(Total number of blocks needed - number of blocks completed) = number of blocks left to make
(68 - c) = m
Equation : m = 68 - c
If completed blocks 'c' = 33 ; number of blocks needed to complete the igloo :
From m = 68 - c
m = 68 - 33
m = 35
Answer:
Equation: m = 68 - c Answer: 35
Step-by-step explanation:
Tegan needs 68 more blocks for her igloo. The number of blocks she still needs to make depends on c, the number of blocks she completes.
To find the number of blocks she still needs to make, m, we can use the equation m = 68 - c
To find the number of blocks Tegan still needs to make if she completes 33 blocks we can substitute 33 into the equation for c.
m = 68 - c
m = 68 - 33
m = 35
The equation is m = 68 - c
Tegan still needs to make 35 blocks to finish the igloo.
Personal Communication Fees An Internet ,telephone, and cable TV package plan costs month 90$ each month .The Internet part the bill is 35$. The telephone bill is $14 Write the ratio of the Internet bill to the cable TV bill in three different ways
Answer:
internet : cable = 35 : (90 -35 -14)internet / cable = 35 / (55 -14)internet / cable = 35 ÷ 41Step-by-step explanation:
A proportion can be written a number of ways. Here, we're asked for a specific ratio. Ratios are generally written using a colon (:) or a division symbol (/ or ÷). Here, the cable bill must be computed from the amounts of the other portions of the bill. That computation lends itself to being written in different ways. The point of the exercise is unclear, so the desired 'three different ways' are also unclear.
__
If we assume that the cable TV portion of the bill is separable from the package, it can be written as ...
cable bill = $90 -35 -14 = $55 -14 = $41
So, the ratio of internet to cable bills can be written as any of ...
internet : cable = 35 : (90 -35 -14)
internet : cable = 35 : (55 -14)
internet : cable = 35 : 41
internet / cable = 35 / (90 -35 -14)
internet / cable = 35 / (55 -14)
internet / cable = 35 / 41
__
Of course, the computation of the cable bill can be accomplished other ways, so that expression could be any of
cable bill = 90 -49 = 76 -35
Then you could have ...
internet : cable = 35 : (90 -49)
internet / cable = 35 / (76 -35)
What is the distance between the two points (5, -2) and (-3, 8)?
Answer:
2√41 ≈ 12.81 units
Step-by-step explanation:
The distance between two points is conveniently found using the distance formula:
d = √((x2 -x2)^2 +(y2 -y1)^2)
d = √((-3-5)^2 +(8-(-2))^2) = √(64 +100) = 2√41 ≈ 12.81 . . . units
Find the slope of the line.
Answer:
Brainleist!
Step-by-step explanation:
first obvious thing is the line is positive
it goes up 3 over 2
so its 3/2
positive = 3/2
Solve the equation
(If possible please show work)
Answer:
x=1
Step-by-step explanation:
-2x+4=1-4x-3
↦-2x+4x=1-3+4
↦2x=2
↦x=2/2
↦x=1
.°. x = 1
Answer:
[tex] - 2x + 4 = 1 - 4x - 3[/tex]
Firstly take all numbers with variable to L.H.S
and Take all numbers to R.H.S
[tex] - 2x - 4x = 1 - 3 - 4[/tex]
Now solve the equation we get our answer
[tex]-6x = -6[/tex]
Take -6 to the R.H.S and divide -6 by -6
[tex]x = 1[/tex]
1 is ur answer mate
Hope it helps
A lift in mine moves down 24m in 87 mins. If it moves in uniforme rate ,find at what distance below the surface ,it will be after 6 mins . If the lift starts from a hileight 10 m above the ground ,find how deep the lift will go from the surface after 70 mins
Answer:
Ok, first we have the relation:
Speed = Distance/Time.
Here we have:
Distance = 24m
Time = 87 mins
Speed = 24m/87mins = 0.279 m/min.
Now, in 6 minutes, the distance moved will be (remember that the movement is downwards)
D(6min) = (0.279m/min)*6min = 1.66 m.
So in 6 minutes, it moves 1.66 meters down, if the initial position is 10m above the ground, then the position after 6 minutes is:
10m - 1.66m = 8.34m above the ground.
And after 70 minutes, the distance moved is:
D(70min) = (0.279m/min)*70min = 19.53m
Again, the initial position is 10m above the ground, so after 70 minutes the position is:
10m - 19.53m = -9.53m
So after 70 minutes, the position is 9.53 meters under the ground.
The lift will go 2.76m deep from the surface after 70 mins.
The lift moves down 24m in 87 minutes.
What is the speed of an object that covers 'd' distance in 't' time?The speed of an object that covers 'd' distance in 't' time is d/t.
So, speed of the lift = 24/87 = 3/29m/min
Distance covered in 6 minutes = 6 * 3/29 = 18/29 m
So, if initially lift is at the surface of the earth, it will go 18/29m below the surface.
Distance covered in 70 minutes = 70* 3/29 =210/29m
So, if the initially lift is at 10 m height, it will go (10-210/29) = -80/29 or 2.76m below the surface of the earth.
Therefore, the lift will go 2.76m deep from the surface after 70 mins.
To get more about time, speed and distance visit:
https://brainly.com/question/26046491
Which is the answer of the expression (x + 4)(x - 9)=0 in standard form?
Answer:
x=-4 or x=9
Step-by-step explanation:
Either factor can be 0 for the result to be 0.
Hence you can solve x+4=0 or x-9=0 with above answers.
Answer:
x(square) - 5x -36 = 0
sorry if its wrong
Evaluate the expression below for s = 4 and t = 6.
3st^2-s^2
Answer:
Hey there!
We have: [tex]3(4)(6)^2-4^2[/tex]
This simplifies to: 432-16, or 416
Let me know if this helps :)
Answer:
The answer is 416Step-by-step explanation:
3st² - s²
s = 4 , t = 6
Substitute these values into the above expression
That's
3(4)(6)² - 4²
12(36) - 16
= 432 - 16
= 416Hope this helps you
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the transfer, and the transfer happened at a rate of 4.44 megabytes per second. After 32 seconds, there were 384 megabytes on the drive. The drive had a maximum capacity of 1000 megabytes.
x/5 + 1 = 7
x = 40
x = 5
x = 30
x = 35
Answer:
x = 30
Step-by-step explanation:
x/5 + 1 = 7
subtract 1 from each side
x/5 + 1-1 = 7-1
x/5 = 6
Multiply each side by 5
x/5 *5 = 6*5
x = 30
i need help on this..
I hope this helps you
for cosine in a right triangle
cos Angle =adiacent/hypotenuse
cosQ=4/5
PLEASE HELP MEEEEEE :(((
Answer:
tbh i would say 1/8 in exact form
Can you combine 3x + 13y + 10? Why or Why not?
Answer: Nope.
Explanation: In order to combine like-terms, they must all have the same variable. In 3x + 13y + 10, none of them have the same variable, so therefore cannot be combined.
A piece wide function f(x) is defined as shown f(x) = { -5/4x + 90, 0 < x < 40 { -3/8x + 75, 40 < x < 200 which table could be used to graph a piece of the function?
HELP
Answer:
The last table with x and y values:
x y
40 60
160 15
200 0
is the correct table
Step-by-step explanation:
Notice that the x-value 40 appears in all four tables, so let's use it according to the piece-wise function definition to decide which table can be the true one.
Notice that from the function's description, when x = 40 the function that should be used is (its domain includes 40 according to: [tex]40\leq x\leq 200[/tex] ) : [tex]f(x)=-\frac{3}{8} x+75[/tex],
which therefore gives : [tex]f(40)=-\frac{3}{8} (40)+75= -15+75=60[/tex]
therefore, we know that the only table that shows a y-value of 60 associated with x=40 is the last table. We should check that the other two pairs are also correct before deciding for it:
Is f(160) = 15 , and is f(200) = 0 according to the function's definition?
Let;s calculate f(160) (for which we need to use again the second function given which is valid for x values such that: [tex]40\leq x\leq 200[/tex]
[tex]f(160)=-\frac{3}{8} (160)+75= -60+75=15[/tex]
so, this pair is also correct.
Now the last check (for x = 200):
[tex]f(200)=-\frac{3}{8} (200)+75= -75+75=0[/tex]
which also checks with the values in the given table.
Bottle G and bottle H have the same length.
find the value of X.
please show your working...
THANKS for your helping✨✨
Answer:
x = 2
Step-by-step explanation:
The length of bottle G in cm is 5x + 12
The length of bottle H in cm is 3x + 16
The bottles are of equal length, so set them equal to each other to solve for x:
5x + 12 = 3x + 16
2x = 4
x = 2
The radius of a circle is 3.9 cm. What is the area of the circle? Use pi = 3.14
Answer:
A ≈ 47.759 cm²
Step-by-step explanation:
A = πr²
A = (3.14)(3.9)²
A = (3.14)(15.21)
A ≈ 47.759 cm²