Find the 12th term of the geometric sequence 2, 10,50,...
The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Geometric sequence:Important information:
Given geometric sequence is 2, 10,50,...We need to find the 12 th term.
In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].
The nth term is:
[tex]a_n=ar^{n-1}[/tex]
Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.
The 12th term is:
[tex]a_{12}=2(5)^{12-1}[/tex]
[tex]a_{12}=2(5)^{11}[/tex]
[tex]a_{12}=97656250[/tex]
Therefore, the 12th term of the geometric sequence is 97656250.
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Answer: 97656250.
Step-by-step explanation:
dm
Given
mAOC is a straight angle.
mBOC = 6x + 29°
mAOB = 3x + 124°
Find mBOC:
how to write this numbers in word 23.13
Answer:
twenty three and 13 hundredths
Answer:
Twenty three point thirteen
round 8.923 to the nearest half
Answer:
The answer is 8.9
PLEASE MARK BRAINLIEST
Answer:
8.9
Step-by-step explanation:
How do functions work? Could someone explain how to know which questions are functions or not
Answer:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Step-by-step explanation:
here is a step by step equation:
f(x) = x + 7
if:
x=2
then:
f(2) = 2 + 7 = 9
A function is linear if it can be defined by
f(x) = mx + b
Makes sense? Hope I helped
plus I'm in middle school learning this also.
1
Robert climbed 775 steps in 12 minutes.
2
How many steps did he average per minute?
Answer:
64 and 1/3 steps
Step-by-step explanation:
Answer:
775 / 12 = 64.5833...
Step-by-step explanation:
What do static electricity and current electricity have in common.
Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.
HAVE A BLESSED DAY!!!!
Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10.0 + 20 = 80
B. 200 + 10 = 80
C. 80.0 - 200 = 10
D. 102 + 20= 80
Answer:
what none of these make sense
Write an expression equivalent 6x+3y-4x+2
Rewrite
barrel
as a unit rate.
hour
Answer:
B. 2/5 barrel/hour
Step-by-step explanation:
cross multiply 1/5 and 2/1
=2/5
Manuel has already sold $20 worth of tickets to the school play. He has 4 tickets left to sell at $2.50 per ticket. Write a function for the total amount collected from ticket sales
Answer:
The function is C(t)=20 + $2.50X
Total amount is $30
Step-by-step explanation:
Manuel has already sold $20 worth of tickets to the school play, He has 4 tickets left to sell at $2.50 per ticket
It means he sell 1 ticket for $2.50
Then he sold the $20 worth of tickets to the school play at $2.50 per ticket i.e $20/2.50= 8 tickets which means he sold 8 tickets for $20.
If He has 4 tickets left to sell at $2.50 per ticket
Then he will sell at ($2.50×4)=$10
Then total tickets sold= $10+$20= $30
LET US WRITE THE FUNCTION NOW
The function for the total amount collected from ticket sales can be written as
C(t)=20 + $2.50X
Where X is the number of tickets to be sold
C(t) = total amount
$20= initial sold
If He has 4 tickets left to sell then
C(t)=20 + $2.50(4)
C(t)= 20+10= $30
Dustin says the product of 4.5 x 0.8 is equal to 3.6. Which explains whether or not his answer is correct
does anyone know the answer to this? will give brainliest
Answer: a
Step-by-step explanation:
Answer:
the answer is d. it is written in scientific notation.
Step-by-step explanation:
have a nice day!
Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.
Answer:
Translate K to N and rotate about K until HK lies on the line containing LN.
Step-by-step explanation:
Hope this helps bb's!!
Lots of love and peace your way!! <3
For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.
What are translation and rotation?When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.
In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.
The image of the triangle translation is attached with the answer below.
Read more about translation
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#SPJ5
To replace the trees destroyed by typhoon Yolanda, the forestry department of Tagaytay has developed a ten-year plan. During the first year they will plant 100 trees. Each succeeding year, they will plant 50 more trees than they planted the year before.
Answer:
a. 1,000 trees
b. 3,250 trees
Step-by-step explanation:
a. How many trees will they plant during the fifth year?
b. How many trees will they have planted by the end of the tenth year?
Using the sum of an arithmetic progression formula
Sn = n/2 {2a+(n-1)d}
Where,
Sn = Sum of an n terms
n = number of terms
a = first term
d = common difference
a.
n = 5
a = 100
d = 50
S5 = n/2 {2a+(n-1)d}
= 5/2 {2*100 + (5-1)50}
= 5/2 {200+(4)50}
= 5/2{200 + 200}
= 5/2(400)
= 2,000 / 2
= 1,000
S5 = 1,000 trees
b. Sn = n/2 {2a+(n-1)d}
n = 10
a = 100
d =50
S10 = 10/2{2*100 + (10-1)50}
= 5{200 + (9)50}
= 5{200 + 450}
= 5(650)
= 3,250
S10 = 3,250 trees
Can anyone please help me with #30? :(
Answer:
See below.
Step-by-step explanation:
30.
E(1, 2), F(5, 6), G(3, -2)
a)
H, midpoint of segment EG
H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)
J, midpoint of segment FG
J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)
b)
Show that segment HJ is parallel to segment EF.
Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.
slope of segment HJ:
slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1
slope of segment EF:
slope EF = (6 - 2)/(5 - 1) = 4/4 = 1
slope HJ = slope EF = 1
Segments HJ and EF are parallel since their slopes are equal.
c)
Show HJ = (1/2)EF
We use the distance formula to find the lengths of segments HJ and EF.
length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)
length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
HJ = (1/2)EF
Substitute the lengths we found just above for HJ and EF:
2sqrt(2) = (1/2)[4sqrt(2)]
2sqrt(2) = 2sqrt(2)
The two sides are equal, so we have proved that HJ = (1/2)EF.
Which is the definition of a ray
all of the lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.
Step-by-step explanation:
Answer:
Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.
(I'm so sorry if this is wrong)
Hope this Helps!
Regions of earth experience seasons at different times at which position in the orbit of earth would City X have summer?
A) 2
B) 1
C) 3
D) 4
Answer:
it is C
Step-by-step explanation:
hope it helps
City X would have summer at position 4.
The image shows the rotation of the earth around the sun and a city in the northern hemisphere is marked with a letter X.
In the positions shown on the earth the stations are:
position 1 would be autumn in the northern hemisphere and spring in the southern hemisphereposition 2 would be winter in the northern hemisphere and summer in the southern hemisphere.position 3 would be spring in the northern hemisphere and autumn in the southern hemisphere.Position 4 would be summer in the northern hemisphere and winter in the southern hemisphere.The distribution of the seasons originates from the position of the earth concerning the sun and the areas most exposed to solar rays, as can be seen in position 4, the northern hemisphere is more exposed to solar rays, while the south is less exposed.
According to the above, the correct answer is 4. In this position, the north is in summer and the south in winter.
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Choose the statistic that is considered a measure of spread.
Mean
Standard deviation
Mode
Median
Answer:
The standard deviation is considered a measure of spread.
Step-by-step explanation:
Standard deviation is basically considered a measure of spread, measuring how far data values are from their mean.
Standard deviation helps in determining the nature of the variation of the data about the mean.For instance, in certain data sets, we may observe the same mean, but their range could be different, and data values in one data set may have been closely concentrated near the mean than the other data set values.
For example,
considering the data set
[tex]15, 15, 15, 14, 16[/tex]
The given data set has a mean: 15
considering the second data set
[tex]2, 7, 14, 22, 30[/tex]
The given data set has also a mean: 15
But, the values in the second data set are clearly more spread out. When the values of a data set are not spread out largely, then the set will have a low standard deviation.
Therefore, the standard deviation is considered a measure of spread.
if it takes 16 yards of material to make costumes, how much material will be needed to make costumes of that same size?
A.
60.8 yards
B.
50.7 yards
C.
40 yards
D.
34 yards
Answer:
Need more information, will get back to you.
Step-by-step explanation:
How many costumes does she want to make?
what is 2² of 36
you can use google or a calculator
it's tooo easy
answer -1296
The equations of four lines are given. Identify which lines are parallel. Line 1: y = -7x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/7)(x + 4) please help me
Answer:
Line 2 ║ Line 3
Step-by-step explanation:
y = mx + b
~~~~~~~~~~
Line 1: y = - 7x + 6
Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18
Line 3: y = - 3x - 8
Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]
[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex] ⇒ Line 2 ║ Line 3
write an equation that is parallel to 3x — 2y = 14 and passes through the point (-6,-11)
solve for the indicated information solve for n
Answer:
n = 81
Step-by-step explanation:
The left angle in the upper triangle and 44° are Alternate angles and congruent.
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
n is an exterior angle of the upper triangle, thus
n = 44 + 37 = 81
7h+h²
PLEASE HELP
.
.
.
.
.
Answer:
what grade are you in
Step-by-step explanation:
Answer:
h(7+h)
Step-by-step explanation:
You would need to factor the h out of ([tex]7h+h^{2}[/tex])
please help me out....
Can somebody please help me with this algebra assignment thank youu
Answer: you answer is -$150
Step-by-step explanation:
450 minus 200 minus 200 minus 200 and you get -$150
A figure has an area of 64 unit square which describes the area of the figure after a dilation with a scale factor of 3/2
Answer:
It's 144 units^2
Step-by-step explanation:
You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.
HELP PLS
Which expressions shows a correct way to set up the slope formula for the line that passes through the points (5, 0) and (6, -6)?
Answer:
-6-0
____
6-5
Step-by-step explanation:
its suppose to be a fraction hope it helps please mark brainliest
3. If f(x) = 12x + 14, what is the range value for the domain value 3?
Answer:50
Step-by-step explanation:
You are given the domain value which is your "x".
So to solve the problem you fill x as 3
Making the equation f(x)=12(3)+14
12 * 3 = 36
36+14=50
There is your answer!