Two terms between the 1st and the 4th in the given geometric sequence is 21 and 147.
The formula for the nth term in a geometric sequence is given by:
a(n) = a(1) . rⁿ⁻¹
Where:
a(1) = first term
r = common ratio
Parameters given:
a(1) = 3
a(4) = 1029
Substitute n = 4 into the formula:
a(n) = a(1) . rⁿ⁻¹
a(4) = 3 . r³
1029 = 3 . r³
r³ = 1029/3 = 343
r = 7
Two terms between the 1st and the 4th term is a(2) and a(3).
In a geometric sequence, the following applies:
a(n) = a(n-1) . r
Hence,
a(2) = 3 . r
= 3 . 7 = 21
a(3) = a(2) . r
= 21 . 7 = 147
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whats the answer giving brainliest answer
Answer:
C because its the only one that fits the question its asking. 12-6 8-4 4-2
Step-by-step explanation:
Question 10(Multiple Choice Worth 1 poi
(01.04 LC)
Solve for x: 2x - 2> 4x + 6.
Answer:
Step-by-step explanation:
(2x - 2) - 2x > (4x + 6) - 2x
-2 > 2x + 6
(-2) - 6 > (2x + 6) - 6
-8 > 2x
-8/2 > (2x)/2
-4 > x
Answer:
x < - 4
Step-by-step explanation:
2x - 2 > 4x + 6 ( subtract 4x from both sides )
- 2x - 2 > 6 ( add 2 to both sides )
- 2x > 8
divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
x < - 4
If he drank 80% of his water on his entire hike. How much did he drink? (Remember he brought 3 liters of water.)
p.s i have class
Answer:
2.4 Litres of waterStep-by-step explanation:
80% of (3 litres)
You can take 3 litres to be 3000 ml which is how I solved it.
OPTION 1_________80/100 x 3000
=2400 or 2.4 litres
The same can go with not taking ml which you can just use litres
OPTION 2_________80/100 x 3
=2.4 litres
I used the ml since I do not need the calculator for that one and it is faster to calculate.
Julio, Mandy, Angie, and Tyrone each set a goal to run 5 miles a week. This table shows how much of each runner's goal has been met.
Which list shows the numbers in the table in order from least to greatest?
0.27, 27, 35%, 35
27, 0.27, 35, 35%
0.27, 27, 35, 35%
27, 0.27, 35%, 35
Answer:
The sorted inputs in order from least to greatest is:
0.27 < 35% < 27 < 35
Step-by-step explanation:
Given the data
0.27, 27, 35%, 35
as
35% = 35/100=0.35so Rewriting these inputs as decimals:
0.27, 27, 0.35, 35
Sorting this table by decimal values in order from least to greatest:
0.27 35% 27 35
0.27 < 0.35 < 27 < 35
Thus, the sorted inputs in order from least to greatest is:
0.27 < 35% < 27 < 35
Answer:
A
Step-by-step explanation:
0.27
2/7 = .28
35% = 0.35
3/5 = 0.6
Is the equation linear or non-linear?
2x-2y=18
Find the missing side, round to the nearest hundredth.
Answer:
1)10.57
2)5.91
Step-by-step explanation:
1)According to Pythagoras theorem
c=√a²+b²
=√5.2²+9.2²
=√27.04+84.64
=√111.68
=10.57
2) according to Pythagoras theorem
c²=a²+b²
6.5²=2.7²+b²
b²=6.5²-2.7²
b=√6.5²-2.7²
=√42.25-7.29
=√34.96
=5.91
Brad went to the mall and bought two sweaters and a pair of pants for $120. The next week he went to the mall and bought one sweater and two pairs of pants, at the same price as last week, for $120. The cost of one sweater is Response area .
Answer:
the cost of one sweater is $40
Step-by-step explanation:
The computation of the cost of the one sweater is shown below;
Let us assume the sweater be x
And, the pant be y
Now the equations are
2x + y = $120 ..............(1)
x + 2y = $120................(2)
Now multiply by 2 in equation 1
4x + 2y = $240
x + 2y = $120
3x = $120
x = $40
Hence, the cost of one sweater is $40
The price of a TV rose from $350 to $371 in one
month. By what percent did the TV price rise?
If a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes
The given statement is false because the total number of toes and fingers are 30 and not 35.
How to identify true or false mathematical statements?
We are told that If a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.
Now, we know that a glove has space for 5 fingers. This means that three gloves would have a total of; 5 * 3 = 15 fingers
Now, a shoe has space for 5 toes. Thus;
Three shoes would have a total of; 5 * 3 = 15 toes
Thus;
Total fingers and toes = 15 + 15 = 30
Thus, we conclude that the given statement is false because the total number of toes and fingers are 30 and not 35.
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What is the standard fom of the equation of a circle whose diameter is 8 units and whose center is (2, -4)
25 points plus brainliest
Answer: 3x+4y=5
Step-by-step explanation:
[tex]\displaystyle\\y=-\frac{3}{4}x+\frac{5}{4} \\\\Multiply \ both\ parts\ of \ the\ equation\ by\ 4:\\\\(4)(y)=(-\frac{3}{4}x )(4)+(\frac{5}{4})(4)\\\\4y=-3x+5\\\\4y+3x=-3x+5+3x\\\\ 3x+4y=5[/tex]
Write a linear function to describe the sequence. Explain your function. The first 5 terms of an arithmetic sequence are shown. 5, 2, –1, –4, –7 Write a linear function to describe the sequence. Explain your function.
Answer:
The linear function is;
Tn-1 = Tn + 3
What this mean is that to get the term before the present term, we add 3 to the present term
Step-by-step explanation:
Here, we want to write a liner function to describe the function
As we can see from the numbers listed,
the next term is simply obtained by deducting 3 from the previous term
We can write this as:
Tn-1 = Tn + 3
Where Tn is the next term and Tn-1 is the previous term
What the function is saying is that to get the term before the present term, we add 3 to the present term
Solve the following inequality 18x<-25
Answer:
X = - 25/18 the answer is that
Answer:
x < -1[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
18x < -25
Divide both sides by 18.
x < -25 ÷ 18
Evaluate.
x < -1[tex]\frac{7}{18}[/tex]
express this number in scientific notation 2,000,000
Answer:
In scientific notation the number would be 2×10^6.
Hope it helps!
Please help
Thanks In advance!
the answer will be 4
x=4.
the angle ABC is parallel to angle AEF
Leeza deposited $1,600 in a savings account with a simple interest rate of 4.5%.
How much interest will Leeza earn after 6 years if she makes no additional deposits
or withdrawals?
A bicycle with 28-inch diameter wheels is traveling at 25 mi/h. find the angular speed of the wheels in rad/min.
The angular speed of the bicycle's wheels that are traveling at 25 mi/h is 1885.7 rad/min
To solve this angular speed problem the formula and the procedure we will use is:
v = w * r
Where:
v = tangential velocityw = angular velocityr = radiusInformation about the problem:
v = 25 mi/hd = 28 inchw = ?Calculating the radius of the wheel, we have:
r = d/2
r = 28 inch/2
r = 14 inch
Converting the velocity unit from mi/h to inch/min, we get:
25 mi/h * (63360 inch / 1 mi) * (1h / 60 min) = 26400 inch/min
Applying the tangential velocity formula and isolating the angular velocity, we get:
v = w * r
w = v / r
w = 26400 inch/min / 14 inch
w = 1885.7 rad/min
What is angular speed?When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular speed. It is measured in units of (rad/s) (revolutions/s).
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$2.40 for 3 watermelons
Answer:
0.80
Step-by-step explanation:
4(1-x)+2x=-3(x+1)
-) 7/5
-) -7/5
-) -3/4
-) -7
Answer:
the last one -) -7
Step-by-step explanation:
if this help you please give me a crown please
Find a quadratic function that includes the set of values below.
(0,6) (2,12) (3,9)
The equation of the parabola is y= ____
The quadratic function that includes the set of values is y = -2x^2 + 7x + 6
How to find a quadratic function that includes the set of values?The set of values is given as
(0,6) (2,12) (3,9)
A parabola is represented as
y = ax^2 + bx + c
At (0, 6), we have
6 = a(0)^2 + b(0) + c
This gives
c = 6
So, we have
y = ax^2 + bx + 6
At (2, 12), we have
12 = a(2)^2 + b(2) + 6
This gives
4a + 2b = 6
At (3, 9), we have
9 = a(3)^2 + b(3) + 6
This gives
9a + 3b = 3
Using a graphing tools, we have
a = -2 and b = 7
So, we have
y = -2x^2 + 7x + 6
Hence, the quadratic function that includes the set of values is y = -2x^2 + 7x + 6
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how can a cosmetologist make his or her clients feel more secure about the image that they present?
Answer:
They focus on the positive, by focusing on the positive the client feels better about himself and it builds more confidence.
WILL GIVE BRAINLEST HELPPPP
help asap!! really do not understand pleas explain!
describe how a spaceship sent back on earth
Center middle school open the boys basketball team has had the same record every season the team has won a total of 84 games while losing only six games find the constant of a personality of winds to loses
The constant of Proportionality of wins to loses is 12.
Given, The total no. of games won by team is 84 and the team loses 6 games in the season.
When two or more parameters are directly or indirectly proportional to one another, their relationship is expressed as a = kb or a = k/b, where k indicates how the two variables are related. This k is known as the proportionality constant.
So, let a = Total no. of games won by team
and b = no. of games lost by team
So, proportionality constant (k) = Total no. of games won by team(a) / no. of games lost by team(b)
k = 84/6
k = 12.
Hence, the proportionality constant is 12.
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Please please help me!!
solve the system of equations by using the substitution method.
{ 4x - 5y = 19
{ y = x - 4
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __. (simplify your answer. Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=1,\:y=-3[/tex]
As the system of equations has only one solution, thus the solution consistent.
Step-by-step explanation:
Given the system of equations
4x - 5y = 19
y = x - 4
Solving the system of equations by using the substitution method.
[tex]\begin{bmatrix}4x-5y=19\\ y=x-4\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=x-4[/tex]
[tex]\begin{bmatrix}4x-5\left(x-4\right)=19\end{bmatrix}[/tex]
[tex]4x-5\left(x-4\right)=19[/tex]
[tex]-x+20=19[/tex]
isolate x for [tex]-x+20=19[/tex]
[tex]-x+20=19[/tex]
[tex]-x=-1[/tex]
Divide both sides by -1
[tex]\frac{-x}{-1}=\frac{-1}{-1}[/tex]
[tex]x=1[/tex]
[tex]\mathrm{For\:}y=x-4[/tex]
[tex]\mathrm{Subsititute\:}x=1[/tex]
[tex]y=1-4[/tex]
[tex]y=-3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=1,\:y=-3[/tex]
As the system of equations has only one solution, thus the solution consistent.
Please remember that if the system of equations has only one solution, then it is an independent system of equations.
Subtract 5¢ from $4.10. Include the dollar sign and no spaces in your answer.
Answer:
4.05 c
Step-by-step explanation:
Answer:
$4.05
Step-by-step explanation:
$4.10 - $0.05 = $4.05
how do you do this with decimals
Tommy went to Taco World and bought 3 tacos and 4 burritos and spent $14.30. Burritos cost twice as
much as tacos. What was the cost of each taco and each burrito?
If Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
Given that Tommy spent $14.30 and the cost of burritos is twice as much as tacos .
We are required to find the cost of each tacos and burrito.
Suppose the cost of a taco be x and the cost of burrito be y.
Because the cost of burrito is twice as the cost of taco so y=2x.
Total expenditure by Tommy=3x+4*2x
14.30=3x+8x
11x=14.30
x=1.30
y=2*1.3
y=$2.60
Hence if Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
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PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
5 hours
Step-by-step explanation:
Let x represent the amount of hours that ralph can do.
Let y represent the money he earned.
Let m represent how much he earns per hour.
Let b represent the initial fee
y=mx+b
y=33x + 24
189=33x+24
Solve for x:
189=33x+24
165 = 33x
x=5
a wall is covered with 6 wood panels. each panel is a square with a side length of x feet. write an expression to represent the total area, in square feet, covered by the wood panels.
6x² is the total area, in square feet, covered by the wood panels.
What is area?
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.
So based on this, we can say that The expression to represent the total area, in square feet,
So, the wood panels is to be considered as the 6 × x² = 6x²
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