What is a formula for the nth term of the given sequence? 48, 72, 108
Answer:
[tex]a_n=48*1.5^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequence
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:
[tex]r=\frac{72}{48}=1.5[/tex]
To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:
[tex]a_n=a_1*r^{n-1}[/tex]
Where a1=48 and r=1.5
[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]
For example, to find the 5th term:
[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]
Find the measure of the missing angle.
Answer:
23º = x
Step-by-step explanation:
One straight line is ALWAYS 180º
(called a linear pair)
So your equation is
157º + x = 180
subtract x on both sides
and you get
23º
That is a question about angles.
The first thing that we should to note is that a line do a straight angle. A straight angle is an 180° angle.
So, we can say that the sum of the angle a and the angle of 157° is equal to a straight angle. Let's make and solve a equation:
[tex]a + 157 = 180\\a = 180 - 57\\a = 23[/tex]
Therefore, the missing angle is 23°.
I hope I've helped. :D
Enjoy your studies. \o/
What is the measure of angle F in degrees?
Please help WHAT IS THE PERCENT OF 39.8 out of 200 QUICK PLEASE
Answer:
19.9%
Step-by-step explanation:
39.8/200 = 0.199 (move decimal two times)
19.9%
or you can just see what number get 200 to 100, which is by dividing by 2. What you do to the bottom you do to the top so 39.8/200 (divide both sides by 2) = 19.9/100
which is 19.9%.
Ace Carlos
Help pleaseeeeeeeeee
Answer:
The value for X is 25
Step-by-step explanation:
I hope this helps you out!
2 + 2 = ______________________________________________
Answer:4
Step-by-step
X +2 = 8
What is X in this problem/situation ?????????????
HELP ME!!!!!!!!!!!!! Plzzz
X = 6
because 8 - 2 = 6
Someone please do this!
Answer:
£518.42
Step-by-step explanation:
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
?
A.it is a function
B.it is not a function
just please help help help help
Answer:
C.{(-3,10),(-2,5),(1,2),(-2,-4)}
Whats values x= 2+/- i are the the roots of the quadratic equation?
Answer:
x^2 - 4x + 5 = 0
Step-by-step explanation:
:)
x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.
What are roots of a quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
Given (2 + i) and (2 - i) are roots of the quadratic equation.
Let the quadratic equation be f(x).
(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).
Since, f(x) is a quadratic equation, it has only two roots.
f(x) = (x - (2 + i))(x - (2 - i))
f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)
f(x) = x² - 2x + ix - 2x - ix + 4 - i²
f(x) = x² - 4x + 4 + 1
f(x) = x² - 4x + 5
Learn more about roots of quadratic equation here
https://brainly.com/question/26926523
#SPJ2
Help me help me help me help me help me help me help me
Answer:
C. and A.
Step-by-step explanation:
1/6 is a positive number so that is automatically greater than -0.33 and 0.3 is It's like, the bigger the number next to the negative sign, the MORE NEGATIVE it is, making it SMALLER.
Reward for answering question correctly:
So am I gonna get brainliest?
Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)
You burn 5 calories each minute you bike. What integer represents the change in your calories
after you bike for 30 minutes?Immersive Reader
Answer:
150
Step-by-step explanation:
Temperature freezes at 0°C. Which of the following temperatures is below freezing?
Write an integer (positive or negative whole number) to represent each description.
Integer Vocabulary
The football player had a 5-
yard loss on the play.
17 units to the left of -6 on a number
line.
Answer:
Football player= -5
Number line= -23
Step-by-step explanation:
Loss means negative
Left on a number line is subtraction
The volume of a cube 512 cubic inches. What is the length of the cube?
Answer:
I believe it is 8in
Step-by-step explanation:
someone correct me if I'm wrong
34. HOME What's the Error? Nathan says
that Madison Square Garden is located
at (0,3) on the map. Is his ordered pair
correct? Explain.
10 yd
5 yd
What’s the surface area of the cylinder
Answer:
471.24 yd²
Step-by-step explanation:
The formula for the surface area of the cylinder
= 2πr(r + h)
Height = 10 yd
Radius = 5 yd
Surface area =
2 × π × 5(5 + 10)
= 471.24 yd²
The surface area of the cylinder = 471.24 yd²
2x - 3y = 3 solve y
Answer:
Y=-1+2x/3
Step-by-step explanation:
Move all the terms that don't contain y to the right side and solve. Hope this helps!
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
A) Angle 1 and angle 4
B) Angle 5 and angle 4
C) Angle 6 and angle 4
D) Angle 8 and angle 4
Answer:
b.angle 5 and angle 4
Step-by-step explanation:
b.angle 5 and angle 4
Answer:
Step-by-step explanation:
solve: logx 64 = 3. Which is an equivalent equation?
By applying the definition of logarithm, you have
\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64
So, if you consider the cubic root of both sides, you have
x = \sqrt[3]{64} = 4x=364=4
Answer:
x
=
4
,
−
2
+
2
i
√
3
,
−
2
−
2
i
√
3
Step-by-step explanation:
Please help me with this ;(
wich multiple of 7 is greater than 45 and less than 50
Answer:
49
Step-by-step explanation:
7*7=49
A bowl contains 61 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of
yellow Skittles. How many of each color are in the bowl?
Define your variables and write a system of equations that could be used to determine the number of red
Skittles and yellow Skittles in the bowl. (DO NOT SOLVE THE SYSTEM)
Let
Equation 1:
Let
Equation 2:
Answer:
the red skittles be 44 and yellow skittles be 17
Step-by-step explanation:
The computation of the number of each color are in the bowl is as follows;
Let us assume the red skittles be y
And, the yellow skittles be x
The first equation is
x + y = 61
And, the second equation is
y = 2x + 10
Now put the second equation in the first equation
x + 2x + 10 = 61
3x = 51
x = 51 ÷ 3
= 17
And, y = 2 (17) + 10
= 34 + 10
= 44
Hence, the red skittles be 44 and yellow skittles be 17
Violet saw a scarf online for $24. If she has an 18% discount coupon what would be the discount amount?
Which of the following represents a non-linear equation?
A. y = 3x + 3
B. y = -3x
C. y = 1/3x + 3
D. y = 3/x
TIMED PLEASE HELP!!!!
Answer:
D
Step-by-step explanation:
Which expression is not equivalent to 3x-2
Answer: Let's simplify step-by-step.
3x−2
There are no like terms.
So it going to be the same, =3x-2
Step-by-step explanation: hope you understand
Answer:
2x + 2 + x
Step-by-step explanation:
Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 =2d− 2 13 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=
Answer:
[tex]d = -\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]
Required
Solve for d
[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]
Collect Like Terms
[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]
[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]
Take LCM
[tex]4d=\dfrac{-13+11}{2}[/tex]
[tex]4d=\dfrac{-2}{2}[/tex]
[tex]4d = -1[/tex]
Make d the subject
[tex]d = -\dfrac{1}{4}[/tex]
HELP PLZ
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answer:
the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C
Step-by-step explanation: