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
What’s the purchase price??
Answer:
$18,000
Step-by-step explanation:
Trust me it's right
write 8,000,000 in scientific notation ?
Answer:
A: 8 x 10^6
Step-by-step explanation:
Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?
Answer:
Age of Mark [tex]=10[/tex] years
Age of Mark's dad [tex]=30[/tex] years
Age of Mark's sister [tex]=8[/tex] years
Step-by-step explanation:
Let age of Mark be [tex]x[/tex] years.
Mark's dad is three times older than Mark
Age of her Mark's dad [tex]=3x[/tex]
Mark's sister is 2 years younger than Mark
Age of Mark's sister [tex]=(x-2)[/tex] years
The sum of their ages is 48.
[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]
Age of Mark [tex]=x=10[/tex] years
Age of Mark's dad [tex]=3x=3(10)=30[/tex] years
Age of Mark's sister [tex]=x-2=10-2=8[/tex] years
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answer:
The question is unclear. Please provide the table.
Please help!
The box plots below show attendance at a local movie theater and high school basketball games.
Which of the following best describes how to measure the spread of the data?
Answer:
The standard deviation is the best measurement of spread for games and movies.
help, please!!!its urgent
Answer:
Step-by-step explanation:
its f because its pretty easy
In a school, there are 880 students in
total. If there is 20% more boys than
girls, find the number of boys and girls in the school
Answer:
400 girls.
480 boys.
Step-by-step explanation:
If the number of girls is x then the number of boys is 1.2x, so we have:
x + 1.2x = 880
2.2x = 880
x = 880/2.2
= 400.
Girls = 400, boys = 1.2*400 = 480.
how could you write 4/8 as a percent without dividing? I am really stuck I need help!!! thank you
Answer:
it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)
Hope this helped!
Step-by-step explanation:
Help me please!
If you get it right, I’ll will brainliest u!!
Answer:
A :)
Step-by-step explanation:
Law of Syllogism: q=r r=q
If complementary angles = 90-degree angles, then 90-degree angles = complementary angles
Please help me !!
Will give brainliest
Answer:
D) SC+DB=SB
Step-by-step explanation:
D) SC+DB=SB is NOT true
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?
Answer:
A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2
Step-by-step explanation:
The linear equations above match the lines in terms of slope and y-intercept.
I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!
Have a great day!
The system of linear inequalities of the given points is required.
The system of inequality is
[tex]x-3y\leq -9[/tex]
[tex]3x-y>2[/tex]
Points of the first line
[tex](0,3)[/tex]
[tex](3,4)[/tex]
The equation of the line is
[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]
Let us take a point above this line [tex](2,4)[/tex]
It is also a solid line.
[tex]2-3\times 4=-10<-9[/tex]
So, the inequality is [tex]x-3y\leq -9[/tex]
Points of the second line
[tex](0,-2)[/tex]
[tex](1,1)[/tex]
The equation of the second line is
[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]
Let us take a point towards the right of the line [tex](2,2)[/tex]
[tex]3\times 2-2=4>2[/tex]
Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]
Learn more:
https://brainly.com/question/13447558?referrer=searchResults
what is 9+p when p=20?
Answer:
your answer should be. 9+20=29
Will mark brainliest! help asap! Don’t scam
4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
The area of a circle is 169π
What is the value of r?
Answer:
radius is 7.33...
Step-by-step explanation:
I think that is the answer but i am not very sure
Convert:
a) 3.65kg to g b) 568cm to m
c) 82L to cL
d) 0.825 m to dam e) 67.89 hg to dg f) 69g69mgtomg
Only need the answer and pls give fast pls
4. What does a purchasing power calculator compare?
A. The relative value of a past amount of dollars to a present amount.
B. Nickels and dimes.
C. How many stores you can buy goods from.
D. Checking and savings accounts.
Answer: A
Step-by-step explanation: A power calculator helps show how much the currency has changed therefore showing the past amount to the present amount
yooo help me with #6
Answer:
c
Step-by-step explanation:
What is the value of 53?
Answer:
Value of 53 is 53
Step-by-step explanation:
Will give brainliest if correct!
Determine the slope of the following
Answer:
m = 2
Step-by-step explanation:
Plug 2 coordinates into the slope formula
(y2-y1)/(x2-x1)
For this I will choose the first and third coordinates:
15-7/5-1 = 2
The slope is 2
Cook´s bakery is making 15 cakes . Each contains 2 cups of flour . How many cups of flour {f} are needed to make all the cakes
Answer:
A
Step-by-step explanation:
i got from USATestprep
Which pair of measurements is not equivalent?
9.6 cm, 96 mm
1256 m, 12.56 km
340 mm, 0.34 m
720 cm, 7.2 m
Answer:
1256m→12.56km
Step-by-step explanation:
1.256km
-3 is a zero for the polynomial:
x^3 + 7x^2 + 16 x + 12
True or False
Answer:
true
Step-by-step explanation:
If x = - 3 is a zero of the polynomial then f(- 3) = 0
f(x) = x³ + 7x² + 16x + 12
= (- 3)³ + 7(- 3)² + 16(- 3) + 12
= - 27 + 63 - 48 + 12
= 0
Since f(- 3) = 0 then x = - 3 is a zero of the polynomial
PLEASE HELP IM GIVING ALL MY POINTS
when ms mason bought a new computer she borrowed 1200 at the rate of 18% for 9 months how much interest did she pay
Answer:
$216 or $162 (see below)
Step-by-step explanation:
If it's 18% for 9 months (and not per year)
then
1200x0.18=$216
If it's 18% per year then
1200x0.18x0.75=$162
Tina likes to go on distance-learning steam she travels 60 K in 12 seconds what is the constant of proportionality
Answer:
5
Step-by-step explanation:
Given that:
60km in 12 seconds
Distance α time
Distance = k * time
K = constant of proportionality
Distance = 60 ; time = 12 seconds
60 = 12k
60/12 = 12k/12
5 = k
Constant of proportionality is 5
The number of inches in c feet is.
Answer:
this didn't make sense
Step-by-step explanation:
can u explain it again sorry
9 sec x + 9 tan x = 9
Answer:
Lowest root is 0 degrees.
Step-by-step explanation:
divide through by 9:
sec x + tan x = 1
sec^2x = 1 + tan^2 x so
√(1 + tan^2x) + tanx = 1
√(1 + tan^2x) = 1 - tanx
Squaring both sides:
1 + tan^2 x = 1 - 2 tanx + tan^2 x
1 = 1 - 2 tan x
2tanx = 0
x = 0 degree.
What is the perimeter of this triangle?
PLEASE HELP
Answer:
Step-by-step explanation:
perimeter=16+12+20
= 48
Answer:
48
Step-by-step explanation:
Perimeter is all of the sides added together, so add each of the outside values together. The inside value doesn't matter in this problem.
16+12+20=48
10. *
10. If Talia's old bedroom measured 10
feet by 10 feet, how much larger or
smaller will her new bedroom be?
Answer:
A
Step-by-step explanation:
PLSSSSS
• Demand equation: 0.7x + y = 340
Supply equation: -1.5x + y = 320
1. Solve the system algebraically to determine the balance point between
supply and demand.
Answer:
Step-by-step explanation:
Subtract equation 2 from equation 1
.7x+y-(-1.5x+y)=340-320
.7x+y+1.5x-y=20
2.2x=20
x=100/11, then use this in either original equation to find y.
.7(100/11)+y=340
y=3670/11, so the balance point is
(100/11, 3670/11)