Answers
Answer:
a₆ = 972
Step-by-step explanation:
Is it correct?
a₄ = 3a₃ = 3 × 36 = 108
a₅ = 3a₄ = 3 × 108 = 324
a₆ = 3a₅ = 3 × 324 = 972
Answer:
Step-by-step explanation:
Remark
You could do this two ways: one with a formula and one without. I'll do it both ways.
With Formula
a_n = 4 * 3^(n - 1)
a_6 = 4 * 3^(5)
a_6 = 4 * 243
a_6 = 972
Without
a1 = 4
a2 = 4 * 3^(2 - 1)
a2 = 4 * 3
a2 = 12
a3 = 3* a_n-1
a3 = 3 * 12
a3 = 36
a4 = 3*a_3
a4 = 3*36
a4 = 108
a5 = 3 * a_(n - 4)
a5 = 3 * 108
a5 = 324
a6 = 3 * 324
a6 = 972 which is the same answer you got by using a formula
Related Questions
Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST
Answers
9514 1404 393
Answer:
(x -4)^2 +(y -7)^2 = 36
Step-by-step explanation:
The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours
Answers
Answer:
1,344,000
Step-by-step explanation:
since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)
You're Answer: 1,344,000
Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents this ratio? A 3/5 C 2/3 B 3/2 D 2/5
Answers
Answer:
C
Step-by-step explanation:
since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6
does anyone know how to solve for the range?
Answers
Answer:
{-3,0,2,5}
Step-by-step explanation:
range consists of all y-values from each ordered pair in the relation shown
Which equation for a line with a slope of -3 and a y intercept of 4? Multiple Choice Answer: y=-4+3, y= - 3/4x+4, y=-3x+4, y= - 4\3x-3. HElP QUICKLY
Answers
y=-3x+4
dedont be suspicoes
A MOP TO CLEAN CULO
c
c
c
c
c
Find the volume of a pyramid with a square base, where the perimeter of the base is
17 cm and the height of the pyramid is 15 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Answers
Answer:
90.3125 cm³
Step-by-step explanation:
Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.
17/4=4.25 cm
We know the height of pyramid is 15 cm
The formula for the volume of a square pyramid is
V=a²(h/3)
V=a2(h/3)=4.252·15/3=90.3125 cm³
50 points
Help if you know.
Thanks.
Answers
Answer:
RhombusStep-by-step explanation:
Refer to attached
You can easily calculate that each of the sides have the length:
AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]Parallel sides have equal slopes:
m = - 4 for AB and CDm = - 1/4 for AD and BCDiagonals are perpendicular as their slopes are negative reciprocal:
m = 1 for ACm = -1 for BDSo we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.
This is the definition of the rhombus.
Ted has the following triangle dimensions.
side length of 8
side length of 14
side length of 23
How many triangles can he construct?
He can construct only one triangle.
He can construct two triangles.
He can construct three triangles.
He cannot construct a triangle.
Answers
Answer:
He cannot construct a triangle
Step-by-step explanation:
In order to construct a triangle the two shorter sides added together have to be greater than the longest side if that makes sense
So basically 8+14 has to be greater than 23 in order for it to be side lengths of a triangle
8+14=22
22 is not greater than 23 therefore he cannot create a triangle
AnsweFREE 50 POINTS FOR MEEE
Step-by-step explanation:
its D :)
Kim was sitting in row 5, seat 8 at a soccer game when she discovered her ticket was for row 2, seat 3. Write a rule to describe the translation needed to put her in the proper seat.
Answers
Answer:
Step-by-step explanation:
We can assume we are seeing these seats as points on a graph with her current position being (8, 5) and her destination being (3, 2). Using these values Kim would need to follow the following rules...
Move 3 positions down to point/seat (8, 2)
Move 5 positions to the left to point/seat (3,2)
Following these instructions, she would correctly transition to the correct seat.
Wayne is hanging a string of lights 45 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.
Answers
Answer:
The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Step-by-step explanation:
Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.
Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.
Substituting L into P, we have
P = 2(L + W)
= 2(2W + 5 + W)
= 2(3W + 5)
= 6W + 5
Since P = 45 feet,
6W + 5 = 45
6W = 45 - 5
6W = 40
W = 40/6
W = 20/3 feet
W = 6²/₃ feet
Since L = 2W + 5, substituting W = 20/3 into L, we have
L = 2W + 5
= 2(20/3) + 5
= 40/3 + 5
taking the L.C.M, we have
= (40 + 15)/3
= 55/3 feet
= 18¹/₃ feet
So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
4 points
4.) How could we determine who has the greater total change in the
amount of juice in their carton?
Felicia pours juice from a carton into a glass. Every time she fills the glass, the
amount of juice in the carton changes by -0.44 L. She fills her glass 2 times in
all. Bernadette has a different carton of juice that is the same size. Every time she
fills her glass, the amount of juice in her carton changes by -0.42 L. She fills her
glass 2 times in all. Who has
the greater total change in the amount of juice in
their carton?
A. 2 3/4 multiplied by (-0.44) and 2 2/3 multiplied by (-0.42)
B. 2 3/4 divided by -0.44 and 2 2/3 divided by -0.42
Answers
Answer:
A is the answer you sent on the question on carton
ITS A ANGLE QUESTON PLS HELP
Answers
This is a right angles triangle
(6x6)/2
18
Hope this helps :>From CambridgePlease give brainliestAnswer:
18 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 6 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 6 = 3 × 6 = 18 cm²
Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.
First, isolate all of the x-terms on the left side. This leaves a constant on the right that isn't equal to 0.
Factor the GCF out of the terms on the left side.
If there's a whole-number factor on the left side, divide both sides by that number. Notice that after you do this, one factor on the left is just x.
Apply Mel's steps to your equation in question 1. (5 points)
The original equation is 2x^2 +6x+4=24 ft.^2
Answers
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
-5 + -1x = 0
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
x = -5
Step-by-step explanation:
Which table represents a linear function? PLSS HELP Giving brainliest.
Answers
Answer:
The first one I'm pretty sure.
Step-by-step explanation:
The graph of f(x) = 1/x has been transformed to create the graph of g(x) = a/x
What is the value of a?
2
-3
3
-2
Answers
Answer:
2/x
Step-by-step explanation:
The easy way:
take point (2,1) on graph g
subst the values into g(x)=a/x
1=a/2
a=2
thus -> 2/x
The value of a is 2 for the transformed function g(x) = a/x.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The value of a is calculated as,
Take point (2,1) on graph g and substitute the values into g(x)=a/x
1=a/2
a=2
Therefore, the value of a is 2 for the transformed function g(x) = a/x.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ2
complete the square to solve 3x^2+12x=9
A. x=3+√6
B. x=2+√7
C. x=-2+√7
D. x=-2+√13
Answers
(
b
2
)
2
(
b
2
)
2
in order to create a new term. Solve for
x
x
by using this term to complete the square.
Exact Form:
x
=
±
√
7
−
2
x
=
±
7
-
2
Decimal Form:
x
=
0.64575131
…
,
−
4.64575131
…
Step-by-step explanation:
3 {x}^{2} + 12x - 9 = 0
[tex] \frac{ - (12) \binom{ + }{ - } \sqrt{ {12}^{2} - 4(3)( - 9)} }{2(3)} [/tex]
Solving Logarithmic Equations
不
Identify the solution set of 3 In 4 = 2 In x.
o {6}
O {-8, 8}
o {8}
DONE
(8)
Answers
Answer:
Step-by-step explanation:
3ln(4) = 2ln(x)
ln(4³) = ln(x²)
4³ = x²
(2²)³ = x²
2⁶ = x²
x = ±√2⁶ = ±2³ = ±8
However, the argument of a logarithm must be positive, so x=8.
The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.
To solve the equation, we can use the logarithmic identity that states:
n * log(a) = log(aⁿ)
Using this identity, we can rewrite the equation as:
In(4³) = In(x²)
Simplifying both sides using the natural logarithm properties, we get:
In(64) = In(x²)
Taking the exponential of both sides, we have:
[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]
Taking the square root of both sides, we get:
x = ±8
However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.
Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.
Learn more about logarithmic function here:
https://brainly.com/question/3181916
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hi what’s the answer to this question
Answers
Answer:
yes, x and y are in a proportional relationship
Step-by-step explanation:
The relationship is proportional if the graph is a straight line through the origin. This graph is, so the relationship is proportional.
Ted and Carlos are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Ted sold 13 packages of sugar
cookie dough and 7 packages of gingerbread cookie dough for a total of $135. Carlos sold 13 packages of sugar cookie dough and 11 packages of gingerbread cookie dough for a total of $175. Find the cost each of one package of sugar cookie dough and one package of gingerbread cookie
dough.
Answers
Answer:
the sugar cookie dough is $5 each and the gingerbread is $10 each.
Answer:
1 sugar cookie pack=$ 5
1ginger cookie pack=$10
Step-by-step explanation:
13x+ 7y=135
13x+ 11y= 175
by subtraction
4y=40
y=10
substituting the value of y in any of the above equation
13x+7×10= 135
13x+70=135
13x=135-70
13x=65
x=65/13
x=5
What is x equal to in this problem?
Answers
Answer: x = 6
Step-by-step explanation:
All angles in a triangle = 180*
9x - 11 + 80 + 57 = 180
9x + 137 = 180
9x = 54
x = 6
Plug in to see if its correct
9 (6) - 11 + 80 + 57 = 180
54 + 126 = 180
180 = 180
−2x+y=0, −7x+3y=2 adding
Answers
Answer:
X= -2, y=-4
Step-by-step explanation:
hard to explain it
need help again... asap
Answers
Answer:
9/41
Step-by-step explanation:
cos=adjacent/hypotenuse
adjacent=9
hypotenuse=41
In ABCD, BC = DB and m B = 62°. Find m D.
Answers
Answer:
59 degrees
Step-by-step explanation:
180-62=118
118/2=59
12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x.
Answers
Answer:
x = 8
Step-by-step explanation:
Base angles of isoceles triangle are equal
5x + 10 = 50
5x = 40
x = 8
What is the area of rectangle CDEF?ILL GIVE BRAINLIEST
Answers
Answer:
180 is the answer
Step-by-step explanation:
To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)
Then multiply 12 times 15 to find out the area
15 x 12= 180
what do you mean CDEF
and can I get brainliest?
The table summarizes data about the median debt for
graduating students from a sample of universities in two
states, California and New York
median debt less than
$9.000
median debt at least
$9.000
total
California
universities
130
445
575
shoe preference
New York
universities
271
343
total
202
716
918
concludes that
so possible
ation between
d shoe
ence is Jada's
sion reasonable?
n your reasoning
Is there an association between the state and the amount
of median debt for graduates? Explain your reasoning.
Answers
Answer:
No
Step-by-step explanation:
There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.
Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?
Answers
Answer:
YeS, it is a solution
Step-by-step explanation:
Here, we want to check if -6 is a solution to the question
What we have to do is to replace x by -6
If what we have on the left equals that on the right, then -6 is a solution
Thus, we have it that;
3(2(-6) -8)
= 3(-12-8)
= 3(-20) = -60
for the right hand side
-4 (15) = -60
This means both sides are equal and that -6 is a solution
Evaluate x-(-11) for x = 14.
Answers
Step-by-step explanation:
x-(-11)
= x+11
= 14+11
= 25
evaluate 5 using logarithms
Answers
Answer:
log(5)= 0.699
Answer:
Step-by-step explanation:
0.7925
!Help Please!
Find the volume of this cylinder
Answers
Answer:
V~1911
Step-by-step explanation:
7^2=49
3*49=147
147=1911
V~1911