what is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?
Answer:
this looks complicated
Step-by-step explanation:
I can’t figure out which formula goes with which sequence. Help……. Please???
1st sequence:
1,3,9,27,….
What is the formula?
2nd sequence:
400,200,100,50,…
What is the formula?
3rd sequence:
4,8,16,32,…
What is the formula?
4th sequence:
400,100,25,6.25,…
What is the formula?
5th sequence:
1,5,25,125,…
What is the formula?
6th sequence:
1000,500,250,125,…
What is the formula?
7th sequence:
2,10,50,250
What is the formula?
I need to know the correct geometric sequence formula for each of these sequences. Thanks!!!
For a geometric sequence
a, ar, ar ², ar ³, …
the n-th term in the sequence is ar ⁿ ⁻ ¹.
The first sequence is
1, 3, 9, 27, …
so it's clear that a = 1 and r = 3, and so the n-th term is 3ⁿ ⁻ ¹.
The second sequence is
400, 200, 100, 50, …
so of course a = 400, and you can easily solve for r :
200 = 400r ==> r = 200/400 = 1/2
Then the n-th term is 400 (1/2)ⁿ ⁻ ¹.
Similarly, the other sequences are given by
3rd: … 4 × 2ⁿ ⁻ ¹
4th: … 400 (1/4)ⁿ ⁻ ¹
5th: … 5ⁿ ⁻ ¹
6th: … 1000 (1/2)ⁿ ⁻ ¹
7th: … 2 × 5ⁿ ⁻ ¹
HELP RIGHT AWAY!!!PLEASE EXPLAIN HOW TO SOLVE THE PROBLEM
Answer:
264
Step-by-step explanation:
Volume = Area of cross section x height
Area of cross section = 1/2 bh
1/2 (8x6) = 24
24 x 11 = 264 yd^3
If tanA=1/7 and tanB=1/3 prove that cos2A=sin4B
Answer:
{4 |8}. 96. 24
sin4B{3. |9}= ___. = ___ = cos2A
{10|10} 100. 25
{9 |9}
Answer quick plsssssssssss
Answer:
$64
Step-by-step explanation:
Let the pay of Bella be x and Glen be y.
ATQ, 7x-5y=46 and 6x+5y=188, x=18, y=16.
Glen earned 4*16=64 bucks on Friday.
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
A. 11.7
B. 11.9
C. 11.4
D. 14.4
Answer:
Option A, 11.7
Step-by-step explanation:
To find height,
tan 68 = 26/h
h = 26/tan(68)
to find x
tan(42) = h/x
x = h/tan(42)
x = 11.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
Find the distance between the two points.
(-5,1)
(0,0)
[?]
Enter the number that
goes beneath the
radical symbol.
Answer:
[tex]{26}[/tex]
Step-by-step explanation:
[tex] \sqrt{(0 - ( - 5) ){}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] = \sqrt{ {(5)}^{2} + {( - 1)}^{2} } [/tex]
[tex] = \sqrt{25 + 1} [/tex]
[tex] = \sqrt{26} [/tex]
Answered by GAUTHMATH
Answer:
26
Step-by-step explanation:
(-5, 1) (0, 0)
sqrt(5^2 + (-1^2))
sqrt(25 + 1)
sqrt(26)
So, 26 goes under the radical.
The graph showing here is the graph of which of the following rational functions?
Answer: A
Step-by-step explanation:
The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.
A would be correct because when x = -2,
[tex]F(-2)=\frac{1}{-2+2}=\frac{1}{0}[/tex], which is undefined.
The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?
Answer:
13 and 39
Step-by-step explanation:
The sum of two numbers = 52
One number is 3 times as large as the other
Equation:
x + 3x = 52
4x = 52
52 / 4 = x
x = 13
13 * 3 = 39
The numbers are 13 and 39
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?
Perimeter:-4a
[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]
Height=10in[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]
[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]
[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]
A plane flies from London to Dubai and to Colombo. it leaves London at 01:50 and the total journey takes 13 hours and 45 minutes. The local time in Colombo is 7 hours ahead of London. Find the arrival time in Colombo
Answer:
11:35
Step-by-step explanation:
add 13 hour and 45 minutes to 1:50 giving you 4:35 and since the time is 7 hours ahead add another 7 hours and tada
The arrival time in Colombo is 10:35 pm.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now, First, we need to convert 13 hours and 45 minutes to just hours.
We can do this by dividing the minutes by 60:
45 minutes ÷ 60 = 0.75 hours
So the total flight time is,
13 + 0.75 = 13.75 hours.
Next, we need to add the time difference between London and Colombo. Since Colombo is 7 hours ahead of London, we need to add 7 hours to the total flight time:
13.75 hours + 7 hours = 20.75 hours
Now we need to convert this to a time.
Since the flight left at 01:50, we can add 20 hours and 45 minutes to find the arrival time in Colombo:
01:50 + 20:45 = 22:35
So, the arrival time in Colombo is 10:35 pm.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ2
Please help explanation if possible
Answer:
y= -2x +8
Step-by-step explanation:
perpendicular lines have a negative reciprocal gradient so
1/2 becomes -2/1 which is the gradient
sub in the values of x and y
2= -2 (3) +C
2= -6 + C
8=C
y=-2x +8
Answer:
y = -2x + 8
Step-by-step explanation:
for me the easiest way is simply to transform the slope and then just determine the y-intersect.
the slope of the original line is 1/2.
it is always the factor of x and represents the y/x ratio of the function (how many units is y changing when x changes a certain number of units).
a perpendicular line (90 degree angle) simply reverses x and y and the sign of the original slope.
so, the slope of the perpendicular line is -2, and the equation is
y = -2x + c
and c we get by using the point coordinates :
2 = -2×3 + c
2 = -6 + c
c = 8
so, we have
y = -2x + 8
Height is 2ft. More than its width. If the total area is 99ft squared , determine the dimensions of the painting.
Answer: [tex]9\times 11\ ft^2[/tex]
Step-by-step explanation:
Given
Height is [tex]2\ ft[/tex] more than its width
Suppose the width is [tex]x[/tex]. So, height becomes [tex]x+2[/tex]
Area of the painting is [tex]99\ ft^2[/tex]
Area is the product of width and height
[tex]\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9[/tex]
Neglect the negative values
[tex]\text{Width =}9\ ft\\\text{height =}9+2=11\ ft[/tex]
2×+16=12(..........+...........)
Answer:
The answer is 2x+16=12(1/6x +1/192 )
Step-by-step explanation:
10. A recipe for punch calls for 2 cups of fruit concentrate
and 6 cups of water.
How many cups of punch will the recipe make?
Math nation section 2
Send the question?
Must click thanks and mark brainliest
HELPP!!
What is the approximate sum of this series?
Answer:
The answer of this question is 134.83
11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E
=======================================================
Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
--------------------
Extra info (optional section)
Use this x value to find each angle shown below
angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degreesThen notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
9514 1404 393
Answer:
11) x = 9°
13) x = -12°
Step-by-step explanation:
11) ∠HGE +∠EGF = ∠HGF
(3x +11) +(110°) = (16x +4)
117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms
9° = x . . . . . . . . . . . . divide by 13
__
13) ∠BCF +∠FCD = ∠BCD
(x +78) +(x +41) = 95°
2x = -24°
x = -12°
for all of the questions
with method
thankyou
Answer:
(i) 7/10
(ii) 3/10
(iii) 1/5
(iv) Rs 40,000
Step-by-step explanation:
The fraction of the salary spent on food = 1/2
The fraction of the salary spent on rented house fee = 1/5
(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10
(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10
The fraction of the remainder spent for children's education = 1/3
The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10
(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5
(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000
Let x represent his whole salary, we have;
(1/5) × x = Rs 8,000
x = 5 × Rs 8,000 = Rs 40,000
His whole salary is Rs 40,000.
The diagonals of a rhombus are perpendicular
Answer:
true
Step-by-step explanation:
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have
Answer:
Step-by-step explanation:
(N)0.05 + (17-N)0.1 = M; M = amount of money I have.
Or 1.7-0.05N = M.
An expression two different ways to the amount of money is equals to
1. 5N + 10 (17 -N) = Y cents
2. N + 2(17 - N) = Y nickels
What is amount?
" Amount is defined as the total of any given quantity."
According to the question,
Total number of coins = 17
Number of nickels coins = N
Number of dimes coin = 17 - N
'Y' express the amount of money
Represent amount of money in cents
1 dime = 10 cents
1 nickel = 5 cents
Expression to represents amount of money in cents,
5N + 10 (17 -N) = Y cents
Expression to represents amount of money in nickels,
1 dime = 2 nickel
N + 2(17 - N) = Y nickels
Hence, an expression two different ways to the amount of money is equals to
1. 5N + 10 (17 -N) = Y cents
2. N + 2(17 - N) = Y nickels
Learn more about amount here
https://brainly.com/question/27337635
#SPJ3
A washing machine was marked 60% above its cost price . the shopkeeper allows a discount of 25% . calculate his gain%.
Answer:
20%
Step-by-step explanation:
I looked it up and that's what I got
Describe the test of divisibility for:
a) 6 b) 4
6 It is divisible by 2 and by 3.
4 it is divisible by 4...
The divisibility rules of 4 and 6 are completely different. In the divisibility rule of 4, if the last two digits are zeros or the number formed by the last two digits is exactly divisible by 4, then we can say that a number is divisible by 4.
HOPE ITS HELPFUL FOR U MATE
given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee
Answer:
Hello,
We don't need vw(x) !
[tex]w^{-1}(x)=\dfrac{x-1}{2}[/tex]
Step-by-step explanation:
[tex]w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}[/tex]
Pls answer all questions
5:-c
The 3multiples are 25,50,75
6:-c
[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]
[tex]\\ \sf\longmapsto 6(11-5)[/tex]
[tex]\\ \sf\longmapsto 6(6)[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
7:-a
12,17
8:-c
22=2×1188=2×2×2×11HCF=2×2×11=44
9:-c
LCM of 9 and 5 is 45 hence its true
10:-c
HCF of two consecutive numbers is 1
Evaluate the expression when a=3.
a^2 - 6a -5
Answer:
- 14
Step-by-step explanation:
a = 3
a^2 - 6a - 5
= 3^2 - 6 ( 3 ) - 5
= 9 - 18 - 5
= 9 - 23
= - 14
I need help ASAP please
Answer:
it's the third one.
Step-by-step explanation:
It should be a bold/filled circle on the line instead of an empty one.
a trader is given 15% discount on goods bought from a factory. If the original price of an item in the factory is 45000. Calculate the amount the trader paid for them
Answer:
38,250
Step-by-step explanation:
Its a 15% discount so youre only paying 85% of the original 45,000. You then multiply 45,000 by .85 to find what youre paying because the decimal version of 85% is .85. You can find the decimal version of a percentage by dividing the percentage by 100; 85/100=.85. Once you multiply 45,000 by .85 you get 38,250.
Find m<1
A. 76°
B. 63°
C. 69°
D. 83°
Answer:
83°
Step-by-step explanation:
A triangle adds up to 180°
180-(53+44)
A consumer report counted 72 low-quality, 112 medium-quality, and 711 high-quality computers based on a random sample. The report went on to say that all computers, regardless of quality, are packaged identically and sold at the same price.
Use the observed frequencies to create a probability model for the quality of the next computer purchased.
Input your answers as fractions or as decimals rounded to the nearest hundredth.
Quality Estimated Probability (in %)
___________________________________
-Low- :
-Med- :
-High- :
Answer:
Low = 72/895
Medium = 112/895
High = 711/895
Step-by-step explanation:
Low = number of low quality products over the total number of products
72 / 72 + 112 + 711
Medium = number of medium quality products over the total number of products
112 / 72 + 112 + 711
High = number of high quality products over the total number of products
711 / 72 + 112 + 711
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Low
72/895
Medium
112/895
High
711/895
Step-by-step explanation:
