The value of A4 for the given condition if a1=6 and an=2an-1 is 48.
A1 = 6 means a(1) == 6
This is the first term of the sequence. Then you have the “rule” or the “closed form” of the sequence,
which is: an = 2an - 1 for n>1,
Should be written like this: a(n) == 2 × (an - 1) for n>1.
Now, It says that for any n>1, you should do this:
a(2) - that is the 2nd term is:
a(2) == 2 * (an - 1).
But (an -1) means “the term before this one”, which is the first term.
So, a(2) ==2 × 6 == 12, which is the 2nd term.
The 3rd term will be: a(3) == 2 × 12 = 24.
And the 4th term will be:
a(4) == 2 × 24 = 48.
So,the sequence will be:
6 , 12, 24, 48.
Thus, If a1=6 and an=2an-1, then the value of A4 under the indicated circumstance is 48.
To learn more about sequence
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What is the measure of line segment BE in the diagram below?
Answer:
15
Step-by-step explanation:
∆ABC ~ ∆AED, therefore,
[tex] \frac{AB}{AE} = \frac{BC}{ED} [/tex]
Let BE = x
AB = x + 9
AE = 9
BC = 16
ED = 6
Plug in the values into the equation
[tex] \frac{x + 9}{9} = \frac{16}{6} [/tex]
[tex] \frac{x + 9}{9} = \frac{8}{3} [/tex]
Cross multiply
[tex] (x + 9)(3) = (8)(9) [/tex]
[tex] 3x + 27 = 72 [/tex]
Subtract 27 from each side
[tex] 3x = 72 - 27 [/tex]
[tex] 3x = 45 [/tex]
Divide both sides by 3
[tex] x = \frac{45}{3} [/tex]
[tex] x = 15 [/tex]
Segment BE = x = 15
The weights in a weighted mean can be relative frequencies
Answer:
WHAT IS THIS QUESTION ABOUT?
Step-by-step explanation:
Find the general solution for the differential equation (dy)/(dx) + 3y = 18
Y=
Answer:
[tex]y=-e^{-3x-c_1}+6[/tex]
Step-by-step explanation:
[tex]\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6[/tex]
Where does warm water accumulate in the Pacific Ocean during El Niño?
the east
the south
the north
the west
answer:
a. east coast! :)
hope this helps.
Answer:
I put A and got it right on edge Step-by-step explanation:
How many inches combined 1/2 1/3 1/6 1/2 1/8 1:4
Answer:
Imperial Units
155/8 Inches (fraction)
15.625 Inches
1.302083 Feet
Metric Units
396.875 Millimeters
39.6875 Centimeters
0.396875 Meters
Pls help with this problem
Answer:
A.
Step-by-step explanation:
set a proportion
75 x
--- = ----
1.5 2.25
2.25 times 75
168.75
divide it by 1.5
337.5
337 one half
If you are god of math you can try this
Answer:
BRO, u dont need to be a god :D, This is simple math and you just need to use your brains
Step-by-step explanation:
Given is a polynomial, and the values of the variables in it are given by showing what set are they an element of, right? It just gets easier from here
They tell us that 'z' is an element of set C, which stands for Complex Numbers.
And they also tell us that 'a' is an element of set Z, which stands for Integers, which are just numbers with a sign :).
They have also given us a root (solution) to the polynomial, which is also a complex number.
The two statements given are just there for us to verify that we are on the right track to the solution.
We can see that (z = 3 + i) which of course is a complex number, due to the presence of 'i', and 'a' is an integer for when we find its value.
Put it all together and we will get the answer.
Like this,
take the given value of 'z' and place it into the polynomial given, now keep your eyes open here. They said the value of z is as such when the polynomial is an equation which equals 0, so hence we get this:
P(z) = a(3+i)³ - 37(3+i)² + 66(3+i) - 10 = 0,
now just go on simplifying,
=> a(3³+i³+3×3²i+3×3i²) - 37(3²+2×3×i+i²) + 66×3 + 66×i - 10 = 0
=> a(27-i+27i-9i) - 37(9+6i-1) + 198 + 66i - 10 = 0
=> a(27+17i) - 37(8+6i) + 188 + 66i = 0
=> a(27+17i) = 296 + 222i - 188 - 66i
=> a(27+17i) = 108 + 156i
=> a = (108+156i) / (27+17i)
=> a = (108+156i)(27-17i) / (27)² - (17i)²
=> a = (5568 + 2376i) / (699 + 289)
=> a = 5568 + 2376i / 1488
DONNEEE....yayyyy....lol
A book costs $4.75 plus sales tax. After sales tax, the book is $5.13. What is the approximate sales tax rate?
Answer:
Step-by-step explanation:
5.13 - 4.75 = 0.38
4.75 / 0.38 = 12.5
Which decimal number is equal to 3/18 ?
A. 0.167
B. 0.16¯
C. 0.16¯¯¯¯
D. 0.167¯¯¯¯¯
Answer:
Second option
Step-by-step explanation:
In order to find the answer to this question you have to divide the numerator into the denominator remembering that whole numbers have a secret decimal point to the right of itself.
[tex]\frac{3}{18}[/tex]
[tex]\frac{3}{18} =3\div18[/tex]
[tex]3\div18=0.16666666666[/tex]
= 0.16666666666 or 0.16 repeating
Hope this helps.
Find the value of angle G, C and F
Answer:
G is 37
C is 143
F is 37
Step-by-step explanation:
G is 37 because of a rule called complementary angles. They are two angles that equal to 90 degrees! As shown in the angle right next to it, there is a small square that represents 90 degrees, so that means 53 + g would = 90 degrees as well, making g 37.
C is 143 because of a rule called supplementary angles. Supplementary angles are angles on a line that equal to 180 degrees. No matter how many angles are on a straight line, they will all equal to 180. So since I found out g is 37, I just used one of the lines and did 180-37 = 143.
F is 37, and you could find it in two ways. You can use supplementary angles with the angle of c you just found, or you can just use a rule called vertical angles. It is a rule that says any opposite angles from each other are equal. The opposite angle of F would be G. Since G is 37, F would be 37 as well. Definitely look up these terms if I am confusing them for you!! I hope I helped!!
Q.3)
Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29, $58, $15, $129,
A. 19
B. 54.7
114
D. 32.67
What is the unit rate of 36 flowers in 3 bouquets
Answer:
12 flowers per bouquet
Step-by-step explanation:
Answer:
12 / 1
Step-by-step explanation:
12 times 3 is 36 so 12 flowers in each bouquets.
47
Simplify
52
4 10
55
RE
5
421
56
127
153
Please help me! The question is in the screenshot below.
For a party, you buy 4 3/8 lbs of salt water taffy. If 150 people are attending, how much salt water taffy does each person get?
Answer:
Step-by-step explanation
150 divided by 4 3/8 = 34.2
$7.80(1 + 0.055)=
Your answer
Answer:
$8.229
Step-by-step explanation:
do whats in the paranthese first: 1 + 0.055 = 1.055
when a number is next to another number you multiply: 7.80(1.055) which is 7.80 x 1.055 = 8.229
need some help please
Answer:
Ariel ate the most .
Step-by-step explanation:
hope this helps you.
Answer:
dan
Step-by-step explanation:
find the common denomanator= 28
dan 6/7 to the common denomanator is 24/28
ariel 3/4 is 21/28
Five hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
18–24 25–34 35–55 55 and over Total
Liked Crunchicles 39 66 10 86 201
Disliked Crunchicles 27 19 38 95 179
No Preference 24 37 35 24 120
Total 90 122 83 205 500
One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.
What is the probability that the consumer is 18–24 years of age, given that they dislike Crunchicles?
Answer:
The probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.
Step-by-step explanation:
The age groups and preferences are given as follows:
18 - 24 25 - 34 35 - 55 55 and over Total
Liked Crunchicles 39 66 10 86 201
Disliked Crunchicles 27 19 38 95 179
No Preference 24 37 35 24 120
Total 90 122 83 205 500
One consumer from the survey is selected at random.
Compute the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles as follows:
[tex]P(18-24|DC)=\frac{P(18-24\cap DC)}{P(DC)}[/tex]
[tex]=\frac{n(18-24\cap DC)}{n(DC)}\\\\=\frac{27}{179}\\\\=0.15084\\\\\approx 0.151[/tex]
Thus, the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.
A ball rolling down the hill is an example of what type of energy
Answer:
When a ball rolls downhill, the gravitational potential energy of the ball is transformed into motion energy. A ball is rolling up and over a hill. The ball slows down as it moves from Position 1 to Position 3, and it speeds up as it moves from Position 3 to Position 5.
Step-by-step explanation:
Use long division to change 11/30 to a decimal
Answer: 0.3666667
Step-by-step explanation:
Pls help I don’t understand what the problem is asking
Solve the inequality for x:
4x - 28 > 16
We have:
4x - 28 > 16
Add 28 to both sides:[tex]4x-28+28>16+28[/tex]
Simplify:4x > 44
Divide both sides by 4:[tex]\dfrac{4x}{4}>\dfrac{44}{4}[/tex]
Simplify:[tex]\boxed{x>11}[/tex]
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x>11\:\\ \:\mathrm{Interval\:Notation:}&\:\left(11,\:\infty \:\right)\end{bmatrix}[/tex]
12.6 + 4m = 9.6 + 8m
Answer:
3 = 4m or 0.75 = m
Step-by-step explanation:
12.6 + 4m = 9.6 + 8m
Subtract 4m from both sides of the equation
12.6 = 9.6 + 4m
Subtract 9.6 from both sides of the equation
3 = 4m
Divide by four on both sides of the equation
0.75 = m
I Hope That This Helps! :)
Just answering so the other guy can have brainiest! Hope this helps!
Jessica counted 26 heartbeats in 20 seconds. How many times will her heart beat in 1 minute? WILL GIVE BRAINLIEST!!!!!!!
Answer:
78
Step-by-step explanation:
multiply 26 by 3 because 60÷20=3
Answer: 78
Step-by-step explanation: 20x3=60 and there is 60 secs in a minute
and 26x3=78
So the answer is 78 heartbeats in a min
ill gives brainiest The average height of an ostrich is 255 cm.
Suppose that you want to make a scale
drawing of an ostrich. The scale is 30 :1.
What height will you make the ostrich in
your drawing? Explain your thinking.
Step-by-step explanation:
8.5
_____
30) 255.0
240
0150
150
000
If Luke can now mow 10 yards in 5 hours, how many lawns can he mow in 8 hours?
Answer:
Step-by-step explanation:
10 yards in 5 hours is 2 yards an hour
8*2=16 yards in 8 hours
Answer:
16 yards
Step-by-step explanation:
he would mow 2 yards an hour in 5 hours because 2 x 5 = 10 so if you use 2 it would be 16
A rope 160m in length is cut into 5 equal lengths. How long is each length of rope?
Answer:32m
Step-by-step explanation:
So you would have to divide 160 and 5 and it would equal 32
Solve 3x + 8 = x + 16
Answer:
x = 4
Step-by-step explanation:
Move all "x"s to one side of the equation:
(3x + 8) - x = (x + 16) - x
2x + 8 = 16
Subtract 8 from both sides so that all the numbers are on one side of the equation:
(2x + 8) - 8 = (16) - 8
2x = 8
Divide both sides of the equation by 2:
x = 4
on (43 - 4) + 12 = 3
Answer:
No im afraid it equals Fish
Step-by-step explanation:
If you subtract 43-4 equals 39 which how many nemo fish r in the ocean
and if u add 12 to it it equals 51 which how many fish r in the ocean
so the answer is Fish
There are 2 value's in a game. one of them is Pancake, the other is waffle. Pancakes are worth 1.5x a waffle. I have 10 waffles, how much Pancake value do I have?
Answer:
Approximately 6.67 pancakes.
Step-by-step explanation:
We can write an equation that relates the two items.
Let P represent Pancake and let W represent Waffle.
Pancakes are worth 1.5 times a Waffle. Therefore:
[tex]W=1.5P[/tex]
To find the Pancake value for 10 Waffles, we can substitute 10 for W and solve for P. Therefore:
[tex]\begin{aligned} W&=1.5P \\ 10&=1.5P \\ 6.\overline{6}&=P \end{aligned}[/tex]
Hence, 10 Waffles equates to approximately 6.67 pancakes.