CAN SOMEONE PLS HELP I NEED ANSWERS TO PASS THIS CLASS
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.
However, if we knew that the zoo only has monkeys and elephants, then:
E = number of elephants
M = number of monkeys
M=9E
M + E = 60
9E+E= 60
10E = 60
E = 6
There are 6 elephants (and 54 monkeys).
Suppose you want to start saving for retirement. You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously. If y| is the value of the investment, and t| is in years. dy/dt =| Your answer should be interms of y|. You start investing at t = 0| so y(0) = 0. y(t) =| What is the size of your investment after 40 years. y(40) =|
Answer:
The size of the investment after 40 years is of $74,872.
Step-by-step explanation:
Continuous compounding:
The amount of money, in continuous compounding, after t years, is given by:
[tex]y(t) = y(0)(1+r)^t[/tex]
In which y(0) is the initial investment and r is the interest rate, as a decimal.
You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously.
This means that [tex]y(0) = 5000, r = 0.07[/tex]. So
[tex]y(t) = y(0)(1+r)^t[/tex]
[tex]y(t) = 5000(1+0.07)^t[/tex]
[tex]y(t) = 5000(1.07)^t[/tex]
What is the size of your investment after 40 years?
This is y(40), that is, y when t = 40. So
[tex]y(t) = 5000(1.07)^t[/tex]
[tex]y(40) = 5000(1.07)^{40}[/tex]
[tex]y(40) = 74872[/tex]
The size of the investment after 40 years is of $74,872.
What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7
Convert 40% as a fraction and multiply the results by 25
40% = 40/100 = 2/5
Multiply the results by 25 :–2/5×25 = 10....
(✯ᴗ✯)Hence , the answer is 10...(◍•ᴗ•◍)15 Points NEED IT RIGTH NOWWW!!??!
Answer: Im not sure about a, but maybe d
Step-by-step explanation:
henry earns 42 $ for babysitting for 7 hours . If henry charges at the same rate, how many hours will it take him to earn 66$?
Answer:
11 hours
Step-by-step explanation:
Rewrite each fraction with a denominator of 24 2/3 and 5/8
Answer:
2/3 = 16/24
5/8 = 15/24
Step-by-step explanation:
2/3= 16/24
5/8= 15/24
because if you multiply across [tex]\frac{2}{3}[/tex] by [tex]\frac{8}{8}[/tex] equal [tex]\frac{16}{24}[/tex]
and if you multiply across [tex]\frac{5}{8}[/tex] by [tex]\frac{3}{3}[/tex] equal [tex]\frac{14}{24}[/tex]
A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey is randomly selected , what is the probability that they lived in 2 or more states and that they have a college degree? P( 2 state or more U Degree )
0.655
0.111
0.310
0.500
Solution :
P(2 states or more | college degree)
[tex]$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$[/tex]
Total number of people = 58
The number of people who lived in two states or more than two states and also have a college degree = 18
Therefore,
[tex]$\text{P(2 states or more states and college degree)} = \frac{18}{58}$[/tex]
The number of people who have a college degree = 20
So, [tex]$\text{P(college degree)} = \frac{20}{58}$[/tex]
Thus,
[tex]$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$[/tex]
[tex]$=\frac{18}{20}$[/tex]
= 0.900
Anything for this one?
Answer:
A. -2
Step-by-step explanation:
Hope this helps
Answer:
A)
Step-by-step explanation:
[tex]x+62=60[/tex]
[tex]-2+62=60[/tex]
I don’t understand this so can anyone help with this!?
A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each
green marble was labeled with a different number, 1 through 4.
Which set represents the event, A, that Karen took a marble that was either green or had an even number?
A triangle has sides of lengths 8, 15, and 17. Is it a right triangle? Explain.
Answer:
Step-by-step explanation:
8^2 + 15^2 = ?
64 + 225 = 17^2
289 = 289
[tex]\sqrt{289} = \sqrt{289\\} \\ 17 = 17[/tex]
Help please
DONT SEND ANY LINK
Answer:
This picture represents soldiers raising the flag after the battle of Iwo Jima.
Step-by-step explanation:
This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.
Which point lies on the graph of y = -x-5?
O A (-5,0)
OB. (4.-9)
OC (-2,-3)
OD. (3,-2)
Answer:
A, B and C are on the graph
Step-by-step explanation:
Just plug the values into y = -x - 5 and see if the y are equal
A ( -5, 0)
0 = 5 - 5
0 = 0
B (4, -9)
-9 = -4 - 5
-9 = -9
C (-2, -3)
-3 = 2 - 5
-3 = -3
D (3. -2)
-2 = -3 - 5
-2 = -8
A- x=-2
B- y=4
C- y=1
D- x=1
Answer:
Your correct answer is C. y = 1
Hoped this helped!
briniliest, pls?
A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:
A)
Can't be determined
B)
Obtuse
C)
Right
D)
Acute
9514 1404 393
Answer:
B) obtuse
Step-by-step explanation:
I like to answer these questions using a "form factor" (f) computed as ...
f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest
Then ...
f = 9² +12² -17² = 81 +144 -289 = -64
The negative value indicates an obtuse triangle (largest angle more than 90°).
__
f = 0 indicates a right triangle; f > 0 indicates an acute triangle.
_____
Additional comments
You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.
This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...
C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°
Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.
jill calculates it would take 95 minutes to run 7 miles but it actually take 80 minutes what is percent of error
Answer:
15.8% = 16%
Step-by-step explanation:
The change (expected result - actual result):
95-80 = 15
Now we divide it by the expected 95 minutes and multiply by 100 to get a percentage.
15/95*100 = 15.8% = 16%
Based on these boxplots, which of the following is true ? (5 points) The median rating for website B is greater than for website A. The interquartile range for website A is greater than for website B. The ranges for the two websites are the same, The median ratings for the two websites are the same .
Answer:
A
Step-by-step explanation:
because it's right and you'll get it right so it is a
Is 3.24538 rational
Answer:
yes
Step-by-step explanation:
3.24538 is rational
What is the surface area of the rectangular prism?
Answer: the answer is 2/8/2
Step-by-step explanation:
Use angle addition formula to find the expression for cos(a+b). Use the same formula to
find cos(a+a).
Answer:
we have
Cos (a+b)=Cos aCosb-SinaSinb
for
Cos (a+a)=Cos aCosa-SinaSina=Cos²a-Sin²a
is a required answer.
Mr. Jones bought a used car. He paid $2,400 plus sales tax. The sales
tax was 8%. How much did he pay in sales tax?
Answer:
Mr. Jones paid $192 in sales tax.
Step-by-step explanation:
8 x 2400 = 19200
19200/100 = 192
Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15
i think there is a trick so the 3 nbs are 9+11+13=33
How's that we need 30
if we flip 9 we get 6
so the answer would be 6+11+13=30
What is 17 % of 3,000?
Answer:
510
Step-by-step explanation:
17% of 3000 would be 17 in 30 hundreds, think about it that way
Find the Surface Area of this Prism?
Answer:
114ft
Step-by-step explanation:
3 times 3=9
9times 2=18
8 times 3=24
24 times 2=48
8 times 3 = 24
24 times 2 =48
48+48+18=114
Helpp plzz will mark brainleast
Answer:
-2.6, -2.16, 0.58, 0.8, 5.1
Step-by-step explanation:
Answer:
D) -2.6, -2.15,0.58,0.8, 5.1
Step-by-step explanation:
1/2(n+4)=6 wat is n ?
Answer:
the correct answer is 8.
Answer:
n = 8
Step-by-step explanation:
1/2(n + 4) = 6
1/2n + 2 = 6
1/2n (+ 2 - 2) = 6 - 2
1/2n = 4
(2/1)1/2n = 4(2)
n = 8
CHECK WORK:
1/2(8 + 4) = 6
1/2(12) = 6
6 = 6
SOMEONE PLEASE HELP!!!!
Answer:
D. 9
Step-by-step explanation:
When you add 1 + 4 + 5 + 5 + 5 + 6 + 9 + 10 + 10 + 11 + 12 + 12 + 15 + 15 + 15 = 135. Which is all of the numbers given to you, and since mean is when you add all of the numbers together, and than divide it by the amount of numbers there, you will take that 135 and divide it by 15. 135 / 15 = 9. Which gets you to finally getting an answer of 9. so D. 9 is correct.
Answer:
C. 8.5
Step-by-step explanation: