Answer:
[tex] a_{n} = (6){3}^{n - 1} [/tex]
Step-by-step explanation:
6, 18, 54
First, recognize that this is a geometric sequence. To find the common ratio, divide the f
second term by the first term.
18/6 = 3
Check this with the second and third term.
54/18 = 3
Your common ratio is 3.
An explicit formula for a geometric equation is:
[tex] a_{n} = a_{1} {r}^{n - 1} [/tex]
We know the first term is 6 and the common ratio is 3. Plug in these values.
[tex] a_{n} = (6) {3}^{n - 1} [/tex]
This is your formula.
Hope this helps!
Answer:
54( 1/3)n-1
Step-by-step explanation:
Can someone help me with this question?
Answer:
One of the angles in the triangle might be 50.
AND
The length of the third side must be 11cm or smaller.
Step-by-step explanation:
-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.
-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)
-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)
-One of the angles in the triangle might be 50 (possibly, so very much true)
I really need help pls someone question is linked
Answer:
The monthly fee is $25, plus the installation fee
Step-by-step explanation:
685 - 85 = 600
1 yr = 12 months
so 24 months
600 / 24 = 25
Please solve this for me.
Answer:
x = 14
Step-by-step explanation:
Figure A to Figure B = 1:3.5 = 1/3.5
Therefore:
Side length of figure A to side length of figure B = 1/3.5
Thus:
4/x = 1/3.5
Cross multiply
x*1 = 3.5*4
x = 14
1.) What are the x- and y-intercepts of this equation: 4x-y=12
2.) Using the x- and y- intercepts, sketch a graph of this equation: -4x+8y=16
Answer:
Step-by-step explanation:The graph of 4x – 3y = 12 is the line that crosses the x-axis at the point (3, 0) and the y-axis at the point (0, –4). x = 3 The x-intercept is 3.
the slope-intercept form, the slope is 0 .
what is the are of the trapezoid(look at the picture) You have to Find the are of the shaded portion/part
Answer:
The Answer Would Be 88
Step-by-step explanation:
26*2+18*2=88.
Hope This Helps, If you could please mark this brainliest to help me out for helping you
If log2 5 = a, log2 3 = b and log2 7 = c, determine an expression for log2 (25/21) in terms of a, b, and c
Answer:
[tex]2a - b -c[/tex]
Step-by-step explanation: We know that:
[tex]log_{2} 5 = a\\log_{2} 3 = b\\log_2 7 = c\\[/tex]
and we want:
[tex]log_2 \frac{25}{21}[/tex].
We can form the numerator using just the first fact (since 5^2 is 25) and the denominator using the latter two (since 3*7 = 21).
[tex]log_2 \frac{25}{21} = log_2 \frac{5^2}{3*7}.[/tex]
The logarithm of a division can be expanded by subtracting the numerator and denominator (while still keeping the log). The logarithm of a product can be expanded by adding the terms while keeping the log. If the logarithm is raised to a power, we can bring it down as a factor:
[tex]log_2 \frac{5^2}{3*7} = log_2(5)^2 - log_2 (3*7) = 2 log_2(5) - (log_2 3 + log_2 7)[/tex]
[tex]= 2 log_2(5) - log_2 3 - log_2 7[/tex] .
Substituting the variables:
[tex]2 log_2(5) - log_2 3 - log_2 7 = 2a - b - c[/tex]
What is the value of x in the equation 2x - 3/5 = -1/10
Answer:
1/4
Step-by-step explanation:
you add 3/5 to the other side and find the lcm making it 6/10--1/10=5/10. Then 5/10 divided by 2 = 2.5/10 which you can simplify to 1/4.
Answer: x=1/4
Step-by-step explanation:
1. Isolate x: if you move -3/5 to the other side, your equation would become
=> 2x=-1/10+3/5
2. Find the common denominator: since you can't add -1/10 with 3/5 without simplifying, you're equation would change to this:
=> 2x=-1/10+6/10
3. Simplify:
=> 2x=5/10 => 2x=1/2
4. Divide:
=> 2x=1/2 => x=1/2*1/2 => x=1/4
Have a nice day! :D
A number t divided by 3 is 7. An equation that represents this word sentence is
Answer:
t ➗(division sign) 3 = 7
Hope this helped <3
Which statement about the properties of Function A and Function B are true?
Select each correct statement.
A The Y-intercept of Function A is equal to the Y-intercept of Function B.
B The Y-intercept of Function A is less than the Y-intercept of Function B.
The Y-intercept of Function A is greater than the Y-intercept of Function B.
D The rate of change of Function A is equal to the rate of change of Function B.
E The rate of change of Function A is less than the rate of change of Function B.
Answer:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B
Step-by-step explanation:
Function A rate of change and y-intercept:
✔️Rate of change using two pairs of values from the given table, (1, 2) and (3, 10):
Rate of change = ∆y/∆x = (10 - 2) / (3 - 1) = 8/2 = 4
Rate of change (m) of Function A = 4
✔️ To find the y-intercept (b) of function A, substitute (x, y) = (1, 2) and m = 4 into y = mx + b (slope-intercept form):
2 = 4(1) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Y-intercept (b) of function A = -2
Function B rate of change (m) and y-intercept (b):
The function, y = 3x + 4 is given in the slope-intercept form, y = mx + b.
Therefore,
Rate of change/slope (m) = 3
Y-intercept (b) = 4
The following staments about the properties of both functions are therefore true:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B
Find the value of x.
[p. 153]
A. x = 5
B. x = 10
C. x = 20
D. x = 40
Answer:
your answer will be C.x=20
Step-by-step explanation:
bye have a wonderful day/night ^_^
57°
41
Use the Law of Sines to determine the length of
side c.
44°
B
29
49
34
21
Answer:
c = 29
Step-by-step explanation:
Law of sines is given as: [tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
B = 180 - (57 + 44) = 79°
b = 41
C = 44°
c = ?
Thus:
[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
Substitute
[tex] \frac{41}{sin(79)} = \frac{c}{sin(44)} [/tex]
Multiply both sides by sin 44
[tex] \frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44) [/tex]
[tex] \frac{41*sin(44)}{sin(79)}*sin(44) = c [/tex]
c = 29.0140633 ≈ 29
Megan buys shorts and a tee shirt.
The tee shirt costs half as much as the shorts.
The total cost is $36.
How much do the shorts cost?
Answer:
18
Step-by-step explanation:
The answer is 18.
As half of 36 is 18
Answer:
The shorts cost is $18.
Hope it helps
Solve the equation.
65 + r = 130
65+r-
= 130 -
r =
65+r = 130
65+r-
= 130-0
r =
(Type whole numbers.)
Answer:
65 + r = 130
65 + r - 65 = 130 - 65
r = 65
Step-by-step explanation:
I am a four-sided shape I have four right angles and my sides are not all equal to each other what shape am I
Answer:
You are a Quadrilateral.
Step-by-step explanation:
The four sided shape that has four right angles and the whole sides are not equal to each other is a rectangle.
What is a rectangle?
A rectangle is a quadrilateral. This simply means it has four sides.
The sides of a rectangle are not equal.
Properties of a rectangleOpposite sides are equal.Opposite side are parallel.The angles are all right angles.The diagonal bisect each other.The sum of angles in a rectangle is 360 degrees.Therefore, the four sided shape that has four right angles and the whole sides are not equal to each other is a rectangle.
learn more on rectangle here: https://brainly.com/question/15019502
#SPJ2
A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions.
Session A: $50
Session B: $50
Session C: $100
Session D: $150
Session E: $200
A participant plans to attend 3 sessions. Here is a list of all possible samples of size 3 sessions from this population of 5 sessions: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, and CDE. If sessions A, B, and C are selected, what is the sample minimum session cost?
$50
$66.67
$100
$200
When the list of all possible samples of size 3 sessions from this population of 5 sessions are given. The sample minimum session cost should be considered as the $200.
Calculation of the sample minimum session cost:Since
Session A: $50
Session B: $50
Session C: $100
Session D: $150
Session E: $200
So here the minimum cost be
= $50 + $50 + $100
= $200
hence, The sample minimum session cost should be considered as the $200.
Learn more about the cost here: https://brainly.com/question/24760080
A line i oining
the
center of
a circle
to
a point on
circler
called
Answer:
Radius.
Step-by-step explanation:
A line joining the center of a circle to a point on the circle is called a radius.
This ultimately implies that, it is the straight line from the center of a circle to any point on the edge of the circle. Also, radius is half of a diameter i.e diameter divided by the 2.
Generally, the radius is used for calculating the area and circumference of a circle.
Area of a circle = πr²
Circumference of a circle = 2πr
The S.I units for measuring radius is meters.
Please help meee ASAP
Answer:
The perimeter is 63 units (B).
Step-by-step explanation:
To find the perimeter, you must add up all the sides.
So...
13 + 9 + 8 + 5 + 4 + 13 + 5 + 6 = 63 units
The answer would then be B -> 63 units
Sam cut a flat wooden board into fourths. He used three of the pieces as backgrounds for posters. He used equal pieces of the leftover board as backgrounds for 5 photos.
What fraction of the original board did he use for each photo background?
Answer:
-7.75
Step-by-step explanation:
1/4
-2.75 On the posters
-7.75 On photos
A poker game requires players to draw a card and roll a die. The combination of card and die will determine if a player wins. There are:
13 different types of cards: Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King
6 different numbers, one on each face of a die: 1,2,3,4,5,6
How many different combinations are there of one card and one die roll?
Answer:
78
Step-by-step explanation:
13*6=78
Answer:
that is not real, the game of poker does not need and does not use dice, they are only cards
explanation:
give me crown please ;-;
y=230 + 3x help will give brainleyest
x = -230/3
have a good year :)
A monkey ate 4 1/2 lbs of bananas a week. If it was fed the same amount daily, how much did it eat each day?
A team won 8 games and lost 5.
What’s the Fraction of the games lost?
Answer:
5/13
Step-by-step explantion:
You already know that they lost 5 games witch is the numerator. Then you add all the games to get the denominator. 8 + 5 = 13
So the answer is 5/13
Find all x that satisfy the given equation for 0<_x<2pi. Select all that apply. 2 cos^2x+cos x=0
Answer:
x=0 or 2pi/3
Step-by-step explanation:
2 cos^2x+cos x=0
cos x(2cos x+1)=0
cos x=0 or 2cos x+1=0
x=0 or cosx=-1/2
x=0 or 2pi/3
F(x)=2x+1 then find f(k)
Answer:
f(k) = 2*k + 1
Step-by-step explanation:
The 'f' function takes the variable, doubles it, and then adds 1.
So f(k) = 2*k + 1
f(g) = 2*g + 1
f(m) = 2*m + 1, and so on
It doesn't really matter which variable you use, the function still does the same thing to it.
help pls
solve the systems of equations x-y=9 and -9x- 3y = 39
Helppppppppppppppp plssssssssssssss
Answer:
110º
Step-by-step explanation:
Because the angle starts at 10º, and ends at 120º, so if we moved the angle down to start at 0º we would have to subtract 10º, so we must subtract 10º from 120º. You end up with 110º.
Hope this helps! Have a great day!
An initial amount of 900 grows at a rate of 7% every month. Write an
exponential equation for the
amount y after x months,
Answer:
$75 because 900 divided by 12 is 75
Step-by-step explanation:
For the function f(x) = 7x1 + 10, find f-1(x).
15 points halp me plz
Answer:
C. f^-1(x) = (x/7 - 10)^4
I WILL GIVE BRAINLEIST PLS HELP
Answer:
the answer is $65
Step-by-step explanation:
Answer:
$70Step-by-step explanation:
ExplanationIf we reverse it we can break it down easier: We start at $935
15 dollars on every purchase, he sold 11 TVs. So we find the total amount of money, 15*11=165
935-165=770
770 is the amount left without the money he has earned so the total base.
770/11=70
Checking answerLet's rebuild it to test if it is correct...
$70 for each tv * 11 tv's = $770 or the base price of the tv's
$15 for all the warranties
$15*11=165
165+770=935
So the answer is 70$
Hopefully, this helped.
Have a great day.
Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
-9x² – 3x-2=0 please help !
Answer:-9 :)
Step-by-step explanation: