Answer:
[tex]a_7=40960x^{33}[/tex]
Step-by-step explanation:
Geometric sequence has explicit form:
[tex]a_n=a \cdot r^{n-1}[/tex] where [tex]a[/tex] is first term and [tex]r[/tex] is the common ratio.
First term here is [tex]a=10x^3[/tex] and [tex]r[/tex] could be found by doing second term divided by first term, [tex]\frac{40x^8}{10x^3}=4x^5[/tex].
Therefore the [tex]n[/tex]th term is given by
[tex]a_n=10x^3 \cdot (4x^5)^{n-1}[/tex].
So the [tex]7[/tex]th term is given by
[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex].
Let's simplify:
[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex]
[tex]a_7=10x^3 \cdot (4x^5)^{6}[/tex]
[tex]a_7=10x^3 \cdot (4^6(x^5)^6)[/tex]
[tex]a_7=10x^3 \cdot (4096x^30)[/tex]
[tex]a_7=40960x^{33}[/tex]
3 points
Below are dot plots for three different data sets. The standard deviation for
these three data sets are given in the following table.
Standard deviation
Data Set
59
Looking at the dot plots and without calculating the
standard deviations, match the data sets to the
standard deviations.
Standard deviation of 5.9
Da Sot
Data Set
Standard deviation of 3.3
Data Set
10
15
20
Standard deviation of 23
Answer:
I don't understand this
Solve for x Round your answer to the newer hundredth.
11.22x - 200 < 347.96
(9th grade Algebra 1)
5(x + 1) - 8 = 5x(2-4)
what is the value of x?
a. -5
b. -1/5
c. 5
d. 1/5
Answer:
d) 1/5
Step-by-step explanation:
5(x + 1) - 8 = 5x(2-4)
5x+5-8 = 5x(-2)
5x-3=-10x
15x = 3
x = 1/5
Answer:
d. 1/5Step-by-step explanation:
5(x + 1) - 8 = 5x(2-4)
=> 5x + 5 - 8 = 10x - 20x
=> 5x + 20x - 10x = 8 - 5
=> 15x = 3
[tex] = > x = \frac{3}{15} [/tex]
=> x = 1/5 (option d) (Ans)
Can someone help plz?
Use the diagram to the right.
If AD = 13 and AC = 5y - 64, find the value of y. Then find
AC and DC.
I don't want the answer I just want to know how to do it
Answer:
1st- thorn forest - forest which have many thorns it is in rajasthan
2nd- evergreen forest - a forest whose trees are rest green in any season
3rd- Amazon forest - in Amazon forests there are many poisonous snake, frogs etc. like anacondas and wild animals.
Step-by-step explanation:
\sqrt{3^{2} - 4^{2} } CAN YOU SOLVE THIS.
Answer:
√-7
Step-by-step explanation:
√(3² - 4²)
=> √(9 - 16)
=> √-7
How is the fear of power reflected
in the Articles of Confederation?
(Posted in math bc nobody answers me in history)
Answer: It mentions how they fear the authority government, also I believe u meant "Power of fear"
Step-by-step explanation:
Estimate 26 to the nearest tenth. Then locate 26 on a number line.
Answer:
30 is the nearest tenth of 26
The volume for a cylinder is ________, for a cone is _______, and for a sphere is_______
Here are the formulas
[tex]\boxed{\sf Volume_{(Cylinder)}=\pi r^2h}[/tex]
[tex]\boxed{\sf Volume_{(Cone)}=\dfrac{1}{3}\pi r^2h}[/tex]
[tex]\boxed{\sf Volume_{(Sphere)}=\dfrac{4}{3}\pi r^3}[/tex]
Answer:
The volume for a cylinder is πr2h, for a cone 1/3hπr², and for a sphere is 4/3πr³
Step-by-step explanation:
I hope this will help you
What is the sum of 9.8 and 12.05 please i need help
If the original ordered pair in a shape was ( 3, 4), what would the new ordered pair be after a Dilation with a scale factor of 2 ?
Answer:
(6, 8 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates by the scale factor 2, that is
(3, 4 ) → (2(3) , 2(4) ) → (6, 8 )
Please help by September 7th.
Answer:
The first of the 3 numbers is 11.
Step-by-step explanation:
Well all three would be 11,12,13 because 11+12+13=36. First number is 11
What is equivalent to -23?
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answer:
1400m^2
Step-by-step explanation:
Let the breadth of the garden be a, therefore the length of the garden is (a+5).
The perimeter of the garden is the sum of all its sides, therefore:
Perimeter = a + a + (a+5) + (a+5) = 150
Simplifying the LHS of the equation:
4a +10 = 150
Subtracting 10 from both sides of the equation:
4a = 140
Dividing both sides by 4:
a = 35 = breadth
Therefore the length of the garden = (a + 5) = 40
Recall that the area of the garden is its length multiplied by its breadth, therefore:
Area = 35*40 = 1400
Answer:
area=1400
Step-by-step explanation:
length(l)=x+5
breadth(b)=x
Perimeter=2(l+b)
150 =2(x+5+x)
150 =2x+10+2x
150-10=4x
140=4x
x=35
therefore breadth=35
length=40
area=l*b
=35*40
=1400
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
x = 4
Step-by-step explanation:
[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]
Answer:
x = 4
Step-by-step explanation:
-5 ( x - 1 ) -x +1 = -18
solve the brackets first
-5x + 5 - x + 1 = -18
-5x -x +5 +1 = -18
-6x + 6 = -18
-6x = -18 - 6
-6x = -24
x = -24 / -6
x = 4
5 added to a certain number gives a result of -6 . Find that number
Answer:
- 11
Step-by-step explanation:
let the number be n , then
n + 5 = - 6 ( subtract 5 from both sides )
n = - 11
The number is - 11
Answer: -11
Step-by-step explanation:
Let x be the number
Set equation
x + 5 = -6
Subtract 5 on both sides
x + 5 = -6 - 5
[tex]\boxed{x=-11}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Which problem has a sum of 16.52 ?
1.42 + 3.1 + 12 = 16.52
Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).
Answer:
24units.
Step-by-step explanation:
steps are in picture.
If you have any question about it please ask.
Findi the value of x
Answer:
By Pythagoras theorem ,
H^2 = P^2 + B^2
H^2 = 4^2 + 3^2
H^2 = 16 + 9
H^2 = 25
H = 5
therefore , value of x = 5
hope that helps uh..☺
Answer:
x = 5
Step-by-step explanation:
Since it's a right triangle, you can use Pythagorean Theorem.
[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]
Reduce the Fractions 15/9to its Lowest Terms
[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]
[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]
Decimal Form - 1.6667
The difference of F and 5 times G is the same as 25 minus f
Step-by-step explanation:
(5×G)-F=25-F
I hope it helped U
stay safe stay happy
show me step by step : 22.04 x 9 =
Answer:
the answer is 198.36
Step-by-step explanation:
i dont know lol sorry
If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.
Answer:
Here,
A=-7
B=12
Length of AB=?
Now, We know that,
Length of AB=-7-12
=-19
Thus, the length of AB is -19
can anyone help me please
Answer:
fig.1 No, fig.2
Step-by-step explanation:
fig.1 is no because "a" has more than one output therefore it's not a function.
fig. 2 is yes because "a,b,c,d" have different outputs but not more than one
try the rest by yourself. have a good day and remember don't get stressed over the little things
4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20
Answer:
15x+55y+20
Step-by-step explanation:
mark me brainlest
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be
⇒ 15x + 55y + 20
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-
Answer:
10 points away
Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?
pls hurrryyyyyyy #42 only and show work
Answer:
x = 70
Step-by-step explanation:
50 + x + 2x + 100 = 360
Combine like terms
3x + 150 = 360
Subtract 150 from both sides
3x = 210
Divide both sides by 3 to isolate x
x = 70
2,8,18,32,50,72 which term is the sequence is 512?
Answer:
16
Step-by-step explanation:
2+6=8
8+10=18
18+14=32
6+4=10 10+4=14
an+1=an+(2+4n)
a7=a6+26=72+26=98
a8= a7+30= 98+30=128
a9=a8+34=128+34= 162
a10=a9+38= 162+38=200
a11=a10+42= 242
a12=242+46=288
a13=288+50= 338
a14=338+54= 392
a15=392+58= 450
a16= 450+62=512
a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
