Answer:
The 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
Step-by-step explanation:
Given
a₁ = 6common ratio r = 3/2To determine
a₆ = ?
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
substituting a₁ = 6, r = 3/2
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
Determining 6th term
substituting n = 6 in the given equation
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
[tex]a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}[/tex]
[tex]=6\cdot \frac{3^5}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:6}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:2\cdot \:3}{2^5}[/tex]
Cancel the common term
[tex]=\frac{3^6}{2^4}[/tex]
[tex]=\frac{729}{16}[/tex]
Therefore, the 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
can you. pls. solve for X?
Answer:
x = 173
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
90+30=120
180-120=60
x+67=60
x=-7
A car travels 72 miles on 6 gallons of gas. At that rate, how much gas will it need to travel 204 miles?
Answer:
17 gallons
Step-by-step explanation:
First find how many miles it can travel with 1 gallon which would be 72÷6 = 12 So 1 gallon can takes it to 12 miles
Do 204÷ 12 = 17
Answer:
17 galloons
Step-by-step explanation:
72 Miles= 6 galloons
144 miles = 12 galloons
204 miles = 17 galloons
in every 12 miles is equivalent to 1 galloon of gas so basically when you divide 204 into 12 you will get 17. you need 17 galloons of gas
5
Select the correct answer
Which system of equations is represented by this graph?
x/-3 is less than -10
solve the inequality
Answer:
-7 or just 7
Step-by-step explanation:
What’s the solution for x/3 = 3
Answer:
x=9
Step-by-step explanation:
x/3=3
1. Multiply both sides by 3
x/3 * 3 = 3*3
2. 3 and 3 cancel out
x=9
Answer:
What's the question?
Step-by-step explanation:
A square has an area of 72 square inches. What is the side length?
Answer:
8.5
Step-by-step explanation:
:)
A pet shop offers an iguana for $\color[rgb]{0.35,0.35,0.35}\$80$ and a parakeet for $\color[rgb]{0.35,0.35,0.35}\$40$. During a sale, Chris bought the iguana at a $\color[rgb]{0.35,0.35,0.35}40\%$ discount and the parakeet at a $\color[rgb]{0.35,0.35,0.35}55\%$ discount. The total amount saved on Chris’s new pets was what percent of the total of their original prices?
Answer:
Ok me la p3l4swkekbdjwkkagdy2hk
Can SOMONE help ASAP I don’t understand the diameter of a circle plz show me how y’all got the awswer plz!!!! It’s the top one
Answer:
Step-by-step explanation:
the top one... which is I am assuming asking for the diameter?
Formula = d=2r
so 2x4 which is 8
But if you were wanting number 6
the formula is A=πr2
which would be 3.14 x 1^1 = 3.14
you take the diameter and square it and then multiply it by pi
Darren has just unplugged his fridge so it can defrost. Thefreezer is at 17 degrees and warms up at 11 degrees an hour.The fridge part is at 23 degrees and rises 8 degrees per hour.How many hours will it take for both the fridge and thefreezer to be the same temperature? What is thetemperature change in that time span?
Answer:
im not sure
Step-by-step explanation:
wish i could help!! :((
bUT THANKS for the pointssssssss
Answer:
they intercept at (2,39)
Step-by-step explanation:
so, the starting point is the y int, and the rate it warms up is the slope so you need to create an equation that follows y=mx+b, then you can use a graphing calculator like desmos, to graph the equation.
the equations would be y=11x+17 and 8x+23, x represents hours.
Please help me thanks please
Answer:
um all you do is multiply 21 as the length by 14 was the width (LxW)
Step-by-step explanation:
=294 is your answer I think ...
help me plz its algebra 1
Answer:
C. x > -7 and x <= 3
Step-by-step explanation:
-3 < x + 4 <= 7
Subtract 4 from the three expressions.
-7 < x <= 3
-7 < x means x > -7.
Then you have x <= 3.
Answer: C. x > -7 and x <= 3
Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left
What number should go in the space?
Multiplying by 1.15 is the same as increasing by _____%.
Answer:
115%
Because to get a percent from a decimal you multiply by 100 so you move the decimal twice to the right
Madison has only dimes in her pocket . Which amount of money could she have ?
A.) 46 cents
B.) 67 cents
C.) 50 cents
D.) 28 cents
Answer:
c
Step-by-step explanation:
Need the answer in 20 min !! Ty
Answer:
15
19
14
Step-by-step explanation:
Arrange the 9 digits in three arithmetic sums. Using three of the four operations of addition, subtraction, multiplication, or division. Use no signs except the signs using those operations. Here is an example
You must use digits 1 - 9 and only ONCE
3 + 4 = 7
9 - 8 = 1
30 / 6 = 5
The above example is not correct, because it does not contain 2, and three is repeated.
Answer:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
Step-by-step explanation:
Given: The basic arithmetic operations: addition, subtraction, multiplication or division.
Digits from 1 - 9
Using three arithmetic operations - addition, subtraction, multiplication, and the given digits, the following three expressions can be formed:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
It can be observed that there is no repetition of digits in the above expressions as required.
solve for n -4.2n-1.7=2.08
Answer:
n= -0.9
Step-by-step explanation:
-4.2n-1.7=2.08 ( move the constant to the right)
-4.2n = 2.08 + 1.7( calculate)
n = -0.9
1. Find the Surface Area
10 km
3 km
8 km
6 km
It’s a 3D object
Answer:
120 km²
Step-by-step explanation:
make it braintliest please
PLEASE HELP ASAP!!
Which is the best approximation for the value of 102?
Answers:
A.) 10
B.) 11
C.) 50
D.) 51
Answer:
D
Step-by-step explanation:
What is 5y-15x-20=0 in y=Mx+b form
Answer:
y=3x+4
Step-by-step explanation:
First, you want to get the 'y' by itself.
5y=15x+20
Now, you want to divide everything by 5.
y=3x+4
Write the equation for this function rule. The output is 5 more than the input.
Answer:
y= x+5
Step-by-step explanation:
You said "output" means
y
and "input" means
x
, so the only other thing you need to know is "is" means
=
(equals
The cost to rent a truck is $75 flat fee, plus $0.55 per mile driven. The table below shows the total cost of the renting the truck for the first four miles.
Answer:
75+ 0.55x = total amount
75 + (0.55 X 60) = $108
Step-by-step explanation:
x is a variable and represents the number of miles you drive, since you drive 60 miles you should figure out how much is 60 miles then add the flat fee of 75
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 12 ft?
Answer:
24 pi
Step-by-step explanation:
you basically need to work out the circumeference
circumference=pi times diameter
if the radius is 12, the diameter is 24
so it would be 24 pi
pls mark as brainliest!!!<3
Joanna is driving 185 miles to visit her family. She drives 68 miles in the morning, stops for lunch, and then drives the rest of the distance. How many miles did she drive after lunch?
Use the variable m to represent the number of miles she drove after lunch.
Which equation represents this situation and its solution?
m + 68 = 185; m = 117
68m = 185; m = 17
m + 185 = 68; m = 117
185m = 68; m = 17
Answer:
The equation represents this situation and its solution are m + 68 = 185; m = 117 ⇒ A
Step-by-step explanation:
Let us solve the question
∵ Joanna is driving 185 miles to visit her family
∴ The total distance she is driving = 185 miles
∵ She drives 68 miles in the morning
∴ d[tex]_{M}[/tex] = 68 miles
∵ She stops for lunch and then drives the rest of the distance
∵ m represents the number of miles she drove after lunch
∴ d[tex]_{L}[/tex] = m miles
∵ d[tex]_{L}[/tex] + d[tex]_{M}[/tex] = the total distance she is driving
∴ m + 68 = the total distance she is driving
∵ The total distance she is driving = 185 miles
∴ m + 68 = 185
∴ The equation represents this situation is m + 68 = 185
→ To solve the equation subtract 68 from both sides
∵ 68 - 68 + m = 185 - 68
∴ m = 117 miles
∴ The solution is m = 117
directions "rewrite the standard form equations into slope intercept form" 2x+6y=-24
Answer:
-2x-24/6
pass the x susbtrating divided it by 6
Wwhich expression uses the associative property to make it easier to evaluate 8(1/2x1/3)?
A.8/3(2x33)
B.(8x1/2)1/3.
C.8(1/3x1/2)
D.(8x1/3)1/2
The correct answer would be B. (8×1/2)1/3.
Step-by-step explanation:
8 * [(1/2) * (1/3)]
= [8 * (1/2)] * (1/3)
= 4 * (1/3)
= 4/3.
The answer is B because it is easier to calculate 8 * (1/2), which is dividing 8 by 2 to get 4.
The function f(x)= -x is shown on the graph.
Which statement is correct?
SI
4
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less
than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
→
-5 4 -3 -2 -11
2
3
4
5
х
-2-
134
-4
Answer:
answer would be:
The range of the graph is all real number.
AND
The domain and range of the graph are the same.
Step-by-step explanation:
Can somebody help me. Will mark brainliest
Answer:
the first two reason are given then the last one is cpctc
list the integers that satisfy both these inequalities, 2x+9 -12
Answer:
x < -10.5
Step-by-step explanation:
list the integers that satisfy both these inequalities, 2x+9 <-12
Subtract 9 from both sides;
2x +9 - 9 < -12-9
2x < -21
x < -21/2
x < -10.5
Hence all the integers are values of x less than 10.5
what is the simplified expression for this ?
Answer:
I think it is 14.1421356237. I needed you can round it down to 14.14.