Answer: Q(n) = Q(n - 1) + 2.5
Step-by-step explanation:
We have 3 values of the sequence Q(n)
These values are:
Q(1) = 3
Q(3) = 8
Q(7) = 18
I would think that this is a geometric sequence.
Remember that the equation for the n-th term of a geometric sequence is:
A(n) = A(1)*r^(n-1)
where r is a constant, and A(1) is the first term of the sequence.
If we rewrite the terms that we know of Q(n) in this way we get:
Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8
Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18
Then we have two equations:
3*r^2 = 8
3*r^6 = 18
We should see if r is the same for both equations:
in the first one we get:
r^2 = 8/3
r = (8/3)^(1/2) = 1.63
and in the other equation we get:
r^6 = 18/3
r = (18/3)^(1/6) = 1.34
Then this is not a geometric sequence.
Now let's see if this is an arithmetic sequence.
The n-th term of an arithmetic sequence is written as:
A(n) = A(1) + (n - 1)*d
where d is a constant.
If we write the terms of Q(n) that we know in this way we get:
Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8
Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18
We need to see if d is the same value for both equations.
in the first one we get:
3 + 2*d = 8
2*d = 8 - 3 = 5
d = 5/2 = 2.5
In the second equation we get:
3 + 6*d = 18
6*d = 18 - 3 = 15
d = 15/6 = 2.5
d is the same for both terms, then this is an arithmetic sequence.
An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)
Then the recursive relation is written as:
A(n) = A(n - 1) + d
Then the recursive relation for Q is:
Q(n) = Q(n - 1) + 2.5
Right answer gets brainlist
Answer:
2057
Step-by-step explanation:
A system of equations is shown below. y = -5x - 2 y=3x - 4 What is the solution to the system of equations?
Answer:
the answer is (x,y) (1/4 -13/4)
How do you write 927,000 in scientific form
Two trains leave stations 432 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?
Answer:
The trains will meet in 2.4 hours.
Step-by-step explanation:
To cover 432 miles at 180mph: 432mi/180mph=2.4 hours
Which three side lengths best describe the triangle in the diagram?
Answer:
D
Step-by-step explanation:
the hypotenuse is 10 cm one leg is 8 cm and the other leg is 6 cm
Which point is the outlier on this scatter plot?
Shark Size
y
3
300
Length (cm)
200
100
X
0
0
30
60
90
Mass (kg)
OA (0.07, 18)
O D. (105, 320)
O C. (85220)
O B. (68, 165)
Answer: A (0.07, 18)
Step-by-step explanation: An outlier is a value that is far from the central tendencies around what would be the mean and the median values.
In a scatter plot, it's the dots (coordinates) that are far away from the main cluster.
if dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3
Answer:
The equation of the tangent line passing through the point (-2,3) is
4 x + y +5 =0
Step-by-step explanation:
Step(i):-
Given that the slope of the tangent
[tex]m = \frac{dy}{dx} = x(y-1)[/tex]
m = -2( 3-1) = -4
Given point x = -2
y = f(-2) =3
∴The given point ( x₁ , y₁) = ( -2 ,3)
Step(ii):-
The equation of the tangent line passing through the point (-2,3)
[tex]y - y_{1} = m(x-x_{1} )[/tex]
[tex]y -3 = -4(x-(-2))[/tex]
y -3 = -4( x+2)
y-3 = -4x -8
4x + y -3+8=0
4x +y +5=0
Step(iii):-
The equation of the tangent line passing through the point (-2,3) is
4 x + y +5 =0
The perimeter of a square is 48 cm.
What is the length of the diagonal?
Answer:
The answers is the following d≈16.97cm
Step-by-step explanation:
This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
What will the town's budget be next year?
A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000
Answer:
A
Step-by-step explanation:
1000000·2.5=2500000
2500000÷100=25000
1000000+25000=1025000
please help! Giving points!
Answer:
Bee
Step-by-step explanation:
Ya like jazz?
OMg plzzz help due 5 minutes answer whatever u can and real answers plz
Simply -17 - 4x + 10 + X
Answer:
-7-3x
Step-by-step explanation:
-17-4x+10+x
(-17+10)+(-4x+x)
-7-3x
Answer:
-3x - 7
I hope this helps!
Find the Inverse Function f(x)=x-5
Can someone help me out please
Solve for x. 3x−4≤5 Drag and drop a symbol and number into the boxes to correctly complete the inequality.
Answer:
x≤3
Step-by-step explanation:
3x≤5+4
3x≤9
x≤3
x≤3 is the solution of the inequality 3x−4≤5
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 3x−4≤5
Three times of x minus four lesser than or equal to five.
We have to solve for x
Add 4 on both sides of the inequality
3x≤5+4
3x≤9
Divide both sides by 3
x≤3
Hence, x≤3 is the solution of the inequality 3x−4≤5
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ2
Tony buys 6 packages of cookies. Each package of cookies
cost $2.50. How much will he spend?
I
Answer:
15 dollars
Step-by-step explanation:
Answer:
15$
Step-by-step explanation:
2.50 * 6
15
3х - y>2
2х + y>23
solve the system of inequalities
Answer: x is greater than 5
Step-by-step explanation: pls mark brainliest
Fill in the blanks! Help please this is due at 11:59
Answer:
1) intensive
2) squemish
3) selfish
4) injection
5) combatiive
6) reject
7) interjection
8) eject
9) impressive
10) projected
Not sure about some of these but hope this can help!!
Step-by-step explanation:
Answer:
1. intensive
2. squmish
3. selfish
4. injection
5. combative
6. reject
7. interjection
8. eject
9. impressive
10. projected
Step-by-step explanation:
The price of a 9-minute phone call is $2.25. What is the price of a 19-minute phone call?
Answer:
$4.75
Step-by-step explanation:
9/2.25=19/x
cross product
2.25*19=9*x
42.75=9x
x=42.75/9
x=4.75
Which line below is parallel to y = 5x - 6
Answer:
-30
Step-by-step explanation:
Match each equation with the diagram it represents.....pls help
Answer:
Oh this is actually pretty easy I think, I hope I get this right! So, Im pretty sure the first one goes to diagram C. The second one goes to diagram D. And I think the third one goes to diagram B. And the last one goes to diagram A. Please dont hate me if I am wrong! Sorry if I am though!
"Talk all day.........................................."
Answer:
What? Oh well free points tyy
Step-by-step explanation:
A new car is purchased for $40,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?
Answer:
Value of the car after depreciation = $800.
Step-by-step explanation:
Formula to get the final value of the car after depreciation of the car price,
Final value = [tex]\text{Initial value}(1-\frac{r}{100})^{\frac{t}{n} }[/tex]
Here, t = Number of years after the purchase
n = Number of years for the depreciation of price by half
By substituting values in the formula,
Final value = [tex]40000(1-\frac{50}{100})^{\frac{17}{3}}[/tex]
= [tex]40000(0.5)^{\frac{17}{3}}[/tex]
= $787.451
≈ $800 [Nearest hundred dollars]
Therefore, after 17 years value of the new car will be $800.
Help Help Help .!
repeated multiplication using a negative fraction .
[tex] {4}^{3} = 63[/tex]
Which of the follow is true about it
______________________________
1.) Solve [tex]\bold{\sqrt{73}}[/tex]:[tex]\sqrt{73}[/tex] ≈ [tex]8.544003745[/tex]
So your answer is [tex]\bold{On~the~left~of~9}[/tex].
______________________________
Simplify: Write your answer in scientific notation.
(3.3 x 10^7) + (7.7 x 10^8)
x+3y=10 what is the slope of the line
Answer:
-1/3 is the slope of the line
Step-by-step explanation:
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept.
Subtract x from both sides of the equation.
x - x + 3y = 10 - x
3y = 10 - x
Divide each term by 3.
[tex]\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}[/tex]
[tex]y = \frac{-x}{3} + \frac{10}{3}[/tex]
Rewrite in slope intercept form.
[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]
The afternoon high temperature was 88°F. By midnight, the temperature 1 point
dropped down to 73°F. What is the percent decrease?
Answer:
17.04545
Step-by-step explanation:
try this
Answer:
17%
Step-by-step explanation:
88 - 73 = 15
15 divided by 88 = 0.170
round to the nearest percent, 17%.
Hope this helps
14x + 5y = -6
Slope intercept form
Answer:
y=-2.8x-1.2
Step-by-step explanation:
5y=-14x-6
y=-14/5x-6/5
y=-2.8x-1.2
i have this due in like 10 minutes please help!!
Answer:
1- a
2- b
3- c
4- d
Step-by-step explanation:
For any operation you have to separate the numbers from the unknown quantities (x, y) and then simplify them by solving them with quantities you are familiar with.
Example:
7x + 8 - 6 + 3x
7x + 3x + 8 - 6
you can only solve operations if they are both natural or algebraic numbers
10x + 2
Hope it was helpful ;)
