Hello!
[tex]\large\boxed{c_{5} = 136}[/tex]
We can begin by solving for c₃ given the equations:
c₃ = 3c₂ + 2c₁ - 2
c₃ = 3(2) + 2(4) - 2
Simplify:
c₃ = 6 + 8 - 2 = 12
We can now find the subsequent terms:
c₄ = 3(12) + 2(2) - 2 = 38
c₅ = 3(38) + 2(12) - 2 = 136
Now we have to,
find the required value of c₅.
Given that,
→ c₁ = 4
→ c₂ = 2
→ [tex] \sf {c_n = 3c_{n-1}+2c_{n-2}-2}[/tex]
Let's solve c₃ first,
→ 3c₂ + 2c₁ - 2
→ 3(2) + 2(4) - 2
→ 6 + 8 - 2 = 12
Then the value of c₃ is
→ [c₃ = 12]
Then find the value of c₄,
→ c₄ = 3(12) + 2(2) - 2
→ c₄ = {36 + 4} - 2
→ c₄ = 40 - 2
→ [c₄ = 38]
Next we can solve for c₅,
→ c₅ = 3(38) + 2(12) - 2
→ c₅ = {114 + 24} - 2
→ c₅ = 138 - 2
→ [c₅ = 136]
Hence, the value of c₅ is 136.
what is the equation of the following direct variation y=2x, y=1/2x, y=-1/2x, y=-2x
Answer:
The answer would be y=-2x
Answer:
Equation y =2x represent the direct variation .
Step-by-step explanation:
Given : Equations y = 2x , y = x + 4 , y = 1/2x , y = 3/x .
To find : Which equation represents a direct variation.
Solution : We have given that equations
Direct variation : The statement "y varies directly as x," mean y and x always have the same ratio: k = .
Where k is constant of variation ,
We can write it as y = kx .
We can see that in equation y = 2x is the same as the above equation
On comparing k = 2.
Therefore, Equation y =2x represent the direct variation .
Hope it helps pls give me brainliest if it is. Thanks xx Happy Easter!
QUESTIONS
Americans consume on average 32.3 lbs of cheese per year with a standard deviation of 8.7 lbs. Assume that the amount of cheese
consumed each year by an American is normally distributed. Find the probability that a randomly selected American consumes at
least 40 lbs of cheese in one year.
0.4856
0.8106
0.1867
0.1894
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
ig its box B if it was wrong sorry! but yes ig its B
If the half life of a substance is 4 weeks, how long will it take for 400 mg of this substance to decay to 25 mg?
Answer:
I believe the answer is 16 weeks.
Step-by-step explanation:
Sorry for the wait
Help with these questions
it is the answer of matrix AB
Find the slope and the y-intercept of the graph of y=11+1.5x.
Answer:
Step-by-step explanation:
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
The
of a plane is 2.
Answer:
The seat no of a plane is 2
if you select one card at random from a standard deck of 52 cards , what is the probability of that card being a 3,4,or 5?
A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior restaurant experience. The pop-up restaurant has only one window where customers order and receive their food. It takes an average of 5 minutes to serve a customer. There is no seating available so the customer exits the system after receiving their order.
Due to the creative marketing strategy of "hiding" the restaurant location, only 10 customers arrive per hour. There is no specific pattern to the distribution of time between arrivals or service times, but from historical data from prior pop-ups, the coefficient of variation for time between arrivals is 2.58 and service time is 0.75.
1. What type of queuing model is this process?
a. single-channel, multi-phase.
b. multi-channel, multi-phase.
c. single-channel, single-phase.
d. multi-channel, single-phase.
2. How many customers would you expect to find waiting in line?
a. 3.
b. 18.
c. 10.
d. 0.
e. 7.
f. 15.
g. 12.
3. For new customers, how long do they have to wait in total before they leave with their food?
a. 45 minutes.
b. 20 minutes.
c. 50 minutes.
d. 95 minutes.
e. 15 minutes.
f. 100 minutes.
g. 40 minutes.
h. 10 minutes.
i. 0 minutes.
j. 90 minutes.
Answer:
1. c
2. f
3. d
Step-by-step explanation:
This type of queuing model is an example of "single-channel, single-phase" process.
However, from the information given:
The inter-arrival rate = 10 customers per hour
Arrival time = 6 minutes
Service time = 5 minutes
∴
utilization = service time/arrival time
= 5/6
Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]
[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]
[tex]T_q = 25 \times 3.60945[/tex]
[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]
Thus, customer waiting in the queue line is;
[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]
Thus, new customers will have to wait in a total time of;
= waiting time + service time
= 90 + 5
= 95 minutes.
what is the answer to 1200 x 4500 = ?
Answer:
5400000
Step-by-step explanation:
To make it easier.
12 x 45, then add your four zeros on your answer!
Hope this helps!
Yours Truely, TheAnimeCatUwU
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
please help im stuck on this
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
hi please help me with this im learning how to play gutiar rn
Answer:
1. 1/3
2. 19/8
Step-by-step explanation:
Please help me !!!!!!!!!!!!!!!!!!!
Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
5)
For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).
In this case,
cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17
6)
For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.
In this case,
sin(A) = opposite / hypotenuse = 32 / 40 = 4/5
A way to remember sine, cosine, and tangent is SOHCAHTOA, where
SOH is Sine = Opposite / Hypotenuse
CAH is Cosine = Adjacent / Hypotenuse
TOA is Tangent = Opposite / Adjacent
Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is a right rectangular prism, and the base of the box is 7 in. by 2 1/2 in. She pours in red sand until the volume of the sand is 26 1/4 in.3. Then she pours in blue sand. Now the volume of the sand is 43 3/4 in.3. How much does the level of the sand rise when Neelam adds the blue sand?
The level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
It is given that:
Neelam is pouring sand into a clear box to make sand art.
The volume of the sand = 43 3/4 - 26 1/4
After simplification:
The volume of the sand = 17 1/2
The height of the sand = 17 1/2 ÷ (7x 2 1/2)
After solving:
The height of the sand = 1 inch
Thus, the level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
Learn more about the volume here:
https://brainly.com/question/16788902
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URGENT PLZ HELP
find the diameter of circle Q if angle PQR measures 31° and the arc length of PR is 9 cm
Answer:
33.4 cm
Step-by-step explanation:
Given:
θ = 31°
Arc length of PR = 9 cm
Required:
Diameter
Solution:
Diameter of the circle = 2*radiius = 2*PQl
Arc length = θ/360 × 2πr
Plug in the values into the equation
9 = 31/360 × 2πr
9 = 0.54r
9/0.54 = r
16.6666667 = r
r = 16.7 cm
Radius = 16.7 cm
Therefore,
Diameter = 2*radius = 2*16.7 = 33.4 cm
What is the slope of y = 4 - 2x?
Answer:
The slope is -2
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m
is the slope and b is the y-intercept.
[tex]y = mx + b[/tex]
Reorder 4 and -2x.
[tex]y = - 2x + 4[/tex]
Using the slope-intercept form, the slope is −2.
[tex]m = - 2[/tex]
Hence, the slope is -2.
The equation y = 4- 2x has a slope of -2.
The pitch of a direct equation is the measure of the term containing the independent variable( in this case," x").
In the equation y = 4- 2x, the measure of "x" is-2. thus, the pitch of the equation is-2.
We know equation is in slope-intercept form (y = mx + b), where "m" represents the slope.
The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).
In this case, for every unit increase in x, the value of y diminishments by 2 units. This indicates a downcast pitch.
In summary, the equation y = 4- 2x has a slope of -2.
Learn more about Slope here:
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In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answer:
7/20
Step-by-step explanation:
You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.
PLS HELP 20 PONTS! which expression is equivalent to -2.5(1-2n) - 1.5n. select all that apply
Answer:
B
Step-by-step explanation:
Answer:
-2.5 + 3.5 n
Pls help me!!!!!! I’m failing and I need to pass ): pls
Answer:
y≥1 is the answer :)
A personal identification number (PIN)
consists of four digits. Consider the
PIN 0005 equal to the number 5, etc. Find
the probability that a PIN number is:
a equal to 0000
b less than 8000 and more than 7900
c divisible by 10
d at least 13.
Using the probability concept, it is found that there is a:
a) 0.0001 = 0.01% probability that a PIN number is equal to 0000.b) 0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.c) 0.1 = 10% probability that a PIN number is divisible by 10.d) 0.9988 = 99.88% probability that a PIN number is at least 13.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A personal identification number (PIN) consists of four digits, and considering they can repeat, the total number of PINs is:
[tex]T = 10^4 = 10000[/tex]
Item a:
A PIN equals to 0000 is one outcome, hence:
[tex]p = \frac{1}{10000} = 0.0001[/tex]
0.0001 = 0.01% probability that a PIN number is equal to 0000.
Item b:
In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:
[tex]p = \frac{99}{10000} = 0.0099[/tex]
0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.
Item c:
One in ten numbers are divisible by 10, hence:
[tex]p = \frac{1}{10} = 0.1[/tex]
0.1 = 10% probability that a PIN number is divisible by 10.
Item d:
12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:
[tex]p = \frac{9988}{10000} = 0.9988[/tex]
0.9988 = 99.88% probability that a PIN number is at least 13.
You can learn more about the probability concept at https://brainly.com/question/15536019
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
A professor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. Based upon previous research, the population standard deviation is estimated to be $17.32. The professor surveys 35 students and finds that the mean spending is $72.43. How would you calculate the p-value for this test
Answer it is 456y5445t6y5432
Step-by-step explanation:
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q-6 when q=4 bidmas solution
Answer:
-2
Step-by-step explanation:
substitute q with 4 to get
4-6=-2
find the surface area of this cylinder. geometry hw help
Answer:
301.59 units or 301.6 after rounding
Pls help :( I’m so stuck in this
Answer:
99.6 ft²Step-by-step explanation:
Three faces are equal triangles with:
base = 8 units, height = 6 ftThe base is a triangle with:
base = 8 ft, height = 6.9 ftSurface area is sum of areas of 4 faces:
S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²it takes 43 pounds of seed to completely plant a 6 acre field How many acres can be planted per pound of seed?
Answer:
0.138 acres per pound of seed
Step-by-step explanation: