Given the geometric sequence tn with t1=96 and r=−1/4, find t4.
Give your answer as a fraction, if necessary. Do not include "t4=" in your answer. For example, if you found t4=9, you would enter 9.
Answer:
3/2
Step-by-step explanation:
Given
[tex]t_1 = 96[/tex]
[tex]r = \frac{1}{4}[/tex]
Required
Find t4
The nth term of a geometric sequence is calculated as:
[tex]t_n = t_1 * r^{n-1[/tex]
So:
[tex]t_4 = t_1 * r^{4-1[/tex]
[tex]t_4 = t_1 * r^3[/tex]
This gives:
[tex]t_4 = 96 * \frac{1}{4}^3[/tex]
[tex]t_4 = 96 * \frac{1}{64}[/tex]
Express as a single fraction
[tex]t_4 = \frac{96}{64}[/tex]
[tex]t_4 = \frac{3}{2}[/tex]
Hence, the 4th term is 3/2
5th grade math. correct answer will be marked brainliest
Answer: 1 1/4
5/4
Step-by-step explanation:
[tex]\frac{1}{2} + \frac{3}{4}[/tex] (im assuming its 3/4)
make 1/2 into 2/4 so its easier to add
2/4 + 3/4 = 5/4 or 1 1/4
is 1.3 million bigger than 65 million
Answer:
no
Step-by-step explanation:
because 1.3m is small
and 65M is very big I need 65m
What is the slope of a line perpendicular to the line whose equation is x+3y=-12
Answer: 3
Step-by-step explanation:
Find slope of that line which is -1/3x-4
then flip its sign and the equation to get 3
This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)
Answer:
i would say $148.80
Step-by-step explanation:
tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.
divide 4 questions
Answer:
huh
Step-by-step explanation:
How many solutions does the equation 6a − 3a − 6 = −2 + 3 have?
Two
None
One
Infinitely many
Answer: There is only one solution
6a - 3a - 6 = -2 + 3
3a - 6 = 1
3a = 7
A system of equation is shown below.
2x + 3y = 34
y = 5x
What is the value of x + y ?
Answer: 29
Step-by-step explanation:
2 + 3 = 5
34 = 5 = 29
The Hiking Club is taking another trip. The hike leader's watch shows that they gained 296 feet in altitude from their starting position.
Their altitude is now 285 feet, but there is no record of their starting altitude.
Write and solve an equation to represent this situation and find their starting altitude.
Answer:
Step-by-step explanation:
The required equation is x+295=285 , where x= starting altitude( in feet).
The starting altitude is -11 feet.
Let x be the starting altitude( in feet) .
Given: The Hiking Club is taking another trip. The hike leader's watch shows that they gained 296 feet in altitude from their starting position.
Then, the altitude is now = x+ 296
Since their altitude is now 285 feet.
So the required equation is x+296=285
Subtract 296 from both sides, we get
x= -11
Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
A. y = 1/4x²
B. x = 1/4y²
C. y = -1/4x²
D. x= -1/4y²
Answer:
B. x = 1/4y²
Step-by-step explanation:
The equation of a parabola is x = 1/4y². Therefore, option B is the correct answer.
What is the parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
From the graph,
x-intercept(s): (0,0)
y-intercept(s): (0,0)
Vertex is (0, 0)
Directrix, x=-1
Here, the axis of symmetry is y=0
So, the equation is x = 1/4y²
Therefore, option B is the correct answer.
To learn more about the parabola visit:
https://brainly.com/question/21685473.
#SPJ7
Maths question is very hard
Answer:
I cant quite see the question or understand what your asking.
Help
Find x. Round to the nearest tenth.
I
64
8
Answer:
x= 3.5 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
Find angle 1 pleasee :)
Answer:
its the one on the right side
Answer:the one on the right side
Step-by-step explanation:
Use the Distributive Property to
REWRITE 2/3(x - 9)
Answer:
2/3x-6
Step-by-step explanation:
Please help me! I need help finding this slope.
Answer:
4/-9
Step-by-step explanation:
you have decided to give your best friend a bag of
red and green marbles for his birthday. your friend
likes green marbles better than red ones, so the
bag has twice as many green marbles as red. The
label on the bag says it lcontains a total of 84 marbles.
How many green marbles are in the bag? Write a
System of equations for this problem. Then solve the
problem using any method you like. Be sure to check
your solutions
Answer:
There are 28 red marbles and 56 green marbles in the bag.
Step-by-step explanation:
Let's define:
R = number of red marbles in the bag.
G = number of green marbles in the bag.
We know that:
"There is a total of 84 marbles in the bag"
Then we can write this as:
R + G = 84
"The bag has twice as many green marbles as red marbles"
Then:
G = 2*R
So we have two equations:
R + G = 84
G = 2*R
This is the system of equations we need to solve.
To solve this, we usually start by isolating one of the variables in one of the equations, here we can see that G is already isolated in the second equation, then we can ignore the first step.
Now that we have an isolated variable, we can replace it in the other equation, then we can replace the second equation in the first one to get:
R + G = 84
R + (2*R) = 84
3*R = 84
R = 84/3 = 28
This means that there are 28 red marbles in the bag.
Now we can use the equation:
G = 2*R
To find the number of green marbles, where we need to replace R y 28, then we get:
G = 2*28 = 56
Which means that there are 56 green marbles.
Which equation describes the line with the slope 2/3 that passes through the given point on the graph?
Answer: y=2/3x-2
Step-by-step explanation:
Slope intercept form is: y=mx+b
m=slope
b= y-intercept
slope is 2/3
kaylee Bryant purchased taz software that regularly sells for 74.95 but is on sale for 59.95
Answer:
well that is 15$$ off
Step-by-step explanation:
Simplified 1100/2500
Answer:
11/25
Step-by-step explanation:
we can divide both top/bottom by 100, to get 11/25
:)
The same honey is sold in two different size jars.
Small Jar
Large Jar
510g for £4.39
380g for £3.12
By considering the amount of honey per penny, work out
which jar is the best value for money.
Working must be shown.
Answer:
Large Jar:
510/439= 1.16p per 1g of honey
Small Jar:
380/312= 1.21p per 1g of honey
Therefore the Small Jar is best value for amount of honey per penny
Please Mark as Brainliest!
Todd has $56.24 in his bank account. After his paycheck was deposited, he had $224.96 in his account. How much was his paycheck?
I’ll give 35 points and brainliest answer asap please it’s due tomorrow
Answer:
try 72.2
Step-by-step explanation:
surface area is 3.8x3.8x6
but minus one side is 3.8x3.8x5 = 72.2
Answer:
72.2 square metersStep-by-step explanation:
multiply the length by the width
3.8 x 3.8 = 14.44
in a cube there are 6 sides; however, it says Sarah is painting all the sides except for one so she is only painting 5 sides
14.44 x 5 = 72.2
which is is the principal value of sin -1 ( 1 )
Answer:
-0.01745240644 according to my calculator
There are 20 pieces of fruit in a basket and 12 of them are oranges. What percentage of the pieces of fruit in the basket are oranges? Show your work in the box and circle your answer
Answer:60 percent
Step-by-step explanation: You have fraction the two numbers which will be 12/20 them you times it by 100 which equals 60 oranges.
Please help due soon.
A video game system and several games are sold for $616. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
Cost of the video game system s
If your right I’ll mark brainiest
Step-by-step explanation:
π is an irrational numberAnswer:
c) [tex]\sqrt{35}[/tex]
d) [tex]\pi[/tex]
e) 0.[tex]\frac{}{54}[/tex]
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers. In this case, the answers above cannot.
help? :’) on math:
Which equation would you use to solve the following situation?
If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team?
1. 6 p = 42
2. 7 p = 42
3. 6 + p = 42
or 4. 42 - p = 6
what number ??
Answer:
yeppy the answer should be 1. 6p=42 :)
Can someone help me? I’ll reward points + brainalist
Step-by-step explanation:
2) 85° = (3x - 5)° [Vertically Opposite Angles]
=> 3x - 5 = 85
=> 3x = 85 + 5
=> 3x = 90
[tex] = > x = \frac{90}{3} [/tex]
=> x = 30
Hence,
Required value of x is 30
3) B. a triangle with measurements of 2, 3 and 5 inches
AS,
Here,
2 + 3 = 5.
And according to Triangle Inequality Property measurement of any two sides of the triangle should be greater than the third side.
So a triangle can't be made.
Please help me with my hw thank you so much
Answer: d
Step-by-step explanation: