Answer: k
Step-by-step explanation:
Is this from Adam test?
4. Does the following Infinite geometric series diverge or converge? Explain.
3 + 9 + 27 +81 +
It diverges; it does not have a sum.
It converges; It has a sum.
It diverges; it has a sum.
It converges; it does not have a sum.
Answer:
It diverges; it does not have a sum.
Step-by-step explanation:
3, 9, 27, 81, ..
ratio = r = 9/3 = 3
since |r| ≥ 1, it diverges and doesn't have a sum
The solution is, the given series is divergent and it has a sum infinity.
Option (A) is CORRECT. i.e. It diverges; it does not have a sum.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
We are given to check whether the following infinite geometric series diverge or converge :
given that,
3 + 9 + 27 +81 +....
We know that
an infinite geometric series diverges if the modulus of the common ratio is greater than 1.
For the given geometric series, the common ratio r is given by
r = 9/3
= 3
So, we get
r = 3 > 1
Therefore, the given infinite geometric series diverges.
Also, we know that the sum of a divergent infinite geometric series with first term a and common ratio r is given by,
the sum will be infinity.
For the given series,
it does not have a sum.
Therefore, the required sum will be infinity.
Thus, the given series is divergent and it has a sum infinity.
Option (A) is CORRECT. i.e. It diverges; it does not have a sum.
For more about geometric series
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pleaseeeee helppppp!!!!! I have to turn this in...!!!
need help in this question
Answer:
B) 9
Step-by-step explanation:
110 + 75 + 11x - 9 + 8x + 13 = 360
19x + 189 = 360
19x (+ 189 - 189) = 360 - 189
19x = 171
19x/19 = 171/19
x = 9
Mr Sharma packed 42 kg of tea into one big bag and 6 small ones each of the same size the big bag contained 3/7 of the tea how many kg of tea did each small bag contain
Answer:
4kg
Step-by-step explanation:
Mr Sharma packed 42 kg of tea into one big bag and sox small bags each of the same size
The first step is to calculate the quantity in the big bag
= 3/7 × 42
= 3×6
= 18
The amount left in the remaining bags is
= 42-18
= 24
Therefore the kg of tea in the small bags can be calculated as follows
= 24/6
= 4
Hence there are 4kg of tea in the small bags
I have a question what is 3/4 × 4/5?
Answer:
3/5
Step-by-step explanation:
Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5
For an important test, Juan studied for 2 h 20 min, while Ken studied for two thirds of an hour. What percent of Ken's study time was Juan's?
Will give brainliest stars and thx if the answer is right
=========================================================
Explanation:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
2 hrs + 20 min = 120 min + 20 min (add 20 min to both sides)
2 hrs, 20 min = 140 min
Juan studied for 140 min
---------------------
Ken studied for 2/3 of an hour, so he studied for (2/3)*60 = 120/3 = 40 min
We see that Juan studied more than Ken, so that must mean Juan's study time as a percentage of Ken's study time is over 100%
This is because
100% of 40 min = 1.00*40 = 40 min200% of 40 min = 2.00*40 = 80 min300% of 40 min = 3.00*40 = 120 minand so on
We divide Juan's time by Ken's time to get: 140/40 = 3.5 = 350%
350% of Ken's study time was Juan's study time.
In other words, if we take 350% of the 40 min figure, then we get 3.5*40 = 140 which represents Juan's study time.
If your teacher asked the reverse of this, and instead asked "what percent of Juan's study time was Ken's?", then the answer would be 40/140 = 0.2857 = 28.57% approximately.
help want to pass this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3.14 yd²
Step-by-step explanation:
Area = πr² = π(1)² = 3.14 yd²
Answer:
3.14
Step-by-step explanation:
because the area of a circle is pi × r^2, we can just plug in the value of r which is 1 yard
A = pi × (1)^2
A = pi × 1
A = pi or 3.14
Simplify −5(2x−6)+25x . Write your answer in factored form.
Answer:
-5(2x-6)+25x
-10x+30+25x
25x-10x+30
15x+30
15(x+2)
Step-by-step explanation:
The factored form of the given expression is 15(x + 2).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
−5(2x − 6) + 25x
It can be simplified as follows,
−5(2x − 6) + 25x
= -10x + 30 + 25x
= 15x + 30
= 15(x + 2)
Hence, the given expression can be simplified in factored form as 15(x + 2).
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Which expression is equivalent to 83 x 52?
A 5(80 x 3)
B. 5x (80+3)
C. 80 (3x5)
D. 80 x (3+5)
Are you sure about the numbers ( 83 x 52) ? I think there is a mistake
Which statement about human activity and the environment is NOT true?
1 point
Humans knowingly create environmental disasters.
Humans affect ecosystems in many ways.
Humans can create solutions to disasters.
Humans have altered ecosystems for a long time. WHICH ONE IS IT
Humans knowingly create environmental disasters.
Step-by-step explanation:
Find the volume of this sphere.
Use 3 for 7T
V [?]ft3
V = Tr3
1
3ft
PLEASE HELP
Answer:
eyjssghafhfa
th
at
hatt
hatthwwtu
twh
wth
tw
h
wth
th
wy
wty
wth
wth
wy
had to be 20 characters long...
A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin?
The exact area of either face of the coin is mm2.
(Simplify your answer. Type an exact answer in terms of st.)
============================================================
Explanation:
If the diameter is d = 18, then the radius is half that at r = d/2 = 18/2 = 9
Then that radius is plugged into the circle area formula below
A = pi*r^2
A = pi*9^2
A = pi*81
A = 81pi
If you were to use an approximation like pi = 3.14, then the approximate area would be 81*pi = 81*3.14 = 254.34 mm^2; however, your teacher wants you to write the exact area.
A 70-year-old male pays 79.79 per month for his term life policy 180-year-old pays 349.30 per month. What is the percent of increase in premium costs from age 70 to 80?
Answer: [tex]337.77\%[/tex]
Step-by-step explanation:
Given
For 70 year old, premium is 79.79 per month
For 80 year old it is 349.30 per month
Percentage increase in premium costs from age 70 to 80 is
[tex]\Rightarrow \%\ \text{increase}=\dfrac{349.30-79.79}{9.79}\times 100\\\\\Rightarrow \%\ \text{increase}=\dfrac{269.51}{79.79}\times 100\\\\\Rightarrow \%\ \text{increase}=337.77\%[/tex]
please help i need it asapppppp
Answer:
c
Step-by-step explanation:
Which transformation will always map a parallelogram onto itself?
OA
a 90° rotation about its center
B.
a reflection across one of its diagonals
Ос.
a 180° rotation about its center
OD.
a reflection across a line jolning the midpoints of opposite sides
Explanation:
Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.
Side note: any rectangle is a parallelogram, but not the other way around.
(2,5) (0,-1)
whats the slope?
Answer:
Step-by-step explanation:
An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)
In this case you have two points (2,5) and (0,-1)
2 = x1 (cause it’s the first x)
5 = y1 (cause it’s the first y)
0 = x2 (second x)
-1 = y2 (second y)
So the slope would be
(5-(-1))/2-0= 6/2 = 3
I really need help !!!
Answer:
heyy sorry i dont really know what is the 'standard deviation' but as for the mean you go to add all the numebers together and divide them by the amount of numbers there are (7 in this scenario)
Step-by-step explanation:
21 + 29.5 + 38 + 46.5 + 55 + 63.5 + 72 = 325.5
then you divide 325.5 by the number of numbers present in the question
325.5 / 7 = 46.5
hope it helped :)
Answer For Correctly Brainiest!
Answer:
48 [tex]in^{3}[/tex]
Step-by-step explanation:
Surface Area (SA) of a pyramid = [tex]\frac{bh}{3}[/tex]
Surface Area = 36 · 4/3
Surface Area = 144/3
Surface Area = 48
The length of the prism is m.
The width of the prism is m.
The height of the prism is m.
The prism holds a total of cubes.
The volume is m3.
Answer:
Solution given.
The length of the prism is 5m.
The width of the prism is 4 m.
The height of the prism is 3m.
The prism holds a total of5*4= 20 cubes.
The volume is l*w*h=5*4*3= 60m3.
Answer:
A prism with a length of 4 meters, height of 3 meters, and width of 5 meters.
The length of the prism is
4 m.
The width of the prism is
5 m.
The height of the prism is
3 m.
The prism holds a total of
60 cubes.
The volume is
60 m3.
Step-by-step explanation:
aka: B, B, A, D, D
Find the equation of a line with m = 3 that passes though the point (-12,
4).
Answer:
y = 3x + 40
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (- 12, 4 ) into the partial equation
4 = - 36 + c ⇒ c = 4 + 36 = 40
y = 3x + 40 ← equation of line
John is 27 years old. His brother James is 15
years old. What is the ratio of John's age to
his brother's? A. 5:9 B.9:4 0.9:5
D.3:5 E. 5:3
Answer:
C. 9:5
Step-by-step explanation:
I got a 100 on my test
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
The graph on the right. y= 5, 6, 7, 8
Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.
Answer:
$9.05
Step-by-step explanation:
x = $adult
y = $kid
2x + 3y = 72.85 (Heather)
2x + 5y = 94.75 (Carl)
subtract the equations to get:
-2y = -21.90
y = 10.95
solve for 'x':
2x + 3(10.95) = 72.85
2x + 32.85 = 72.85
2x = 40
x = 20
Difference between 20 and 10.95 is $9.05
PLS HELP ASAP ITS DUE IN 2HR PLS
Answer:
From 10 a.m. to 2 p.m., the temperature at Sam's house increased by 8 degrees Fahrenheit.
Step-by-step explanation:
Write as a number equation ----> 2 - (-6) = 8
A comic costs $3 and a mystery series costs $5 each.If Ken spend all his money on the comics, he has $6 left. If he wants to buy the mystery series, he needs another $8. How many comics or mystery books is Ken buying? How much money does he have?
Whoever posts this on jiskha gets 50 points
Answer:
7 books
$27
Step-by-step explanation:
3x + 6= 5x - 8
3x - 5x = -14
-2x= -14
x= 7 books
he has (3×7)+6= $27
Let comics be c and mystery be m
Cost be y
c=m
The equations are
y=3m+6y=5m-8Solve for m
3m+6=5m-82m=18m=7booksHe has
7(3)+621+6$27A florist used 14 flowers to make a bouquet including 6 daisies what is the probability that a randomly selected flower will be a daisy
Answer:
3/7(when simplified)
Step-by-step explanation:
there are 6 daisies out of 14 flowers and so the probability would be 6/14. When simplified, the answer would be 3/7
find the value of x help ASAP
3x - 6 = 90
3x - 6 + 6 90 + 6
3x = 96
3x ÷ 3 = 96 ÷ 3
x = 32
a 6m long ladder leans against a building.the ladder makes an 59° with the ground
give the right answer and the explanation plss
Answer:
5.143m
Step-by-step explanation:
Since we are not asked what to find, we can find the height of the building
Given
Length of ladder (hypotenuse) = 6m
angle of elevation = 59°
Required
Height of building H (opposite)
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 59 = H/6
H = 6sin59
H = 6(0.85716)
H =5.143
Hence the height of the building is 5.143m
A sum is invested in a building society at 4% interest per annum and after 3 years
the value of the investment is £562.43. How much was originally invested?
Answer:
Original value of investment = £500 (Approx.)
Step-by-step explanation:
Given:
Rate per year = 4%
Number of year = 3 years
Value of investment after 3 year = £562.43
Find:
Original value of investment
Computation:
A = P[1+r]ⁿ
562.43 = P[1+4%]³
562.43 = P[1+0.04]³
562.43 = P[1.04]³
562.43 = P[1.1248]
Original value of investment = 562.43 / 1.1248
Original value of investment = 500.026
Original value of investment = £500 (Approx.)
2/3+1/4=
Pls help meeeeeeee
Answer:
11/12 should be the correct answer!
Step-by-step explanation:
Let's make the denominator the same!
Lcm of 3 and 4 is 12
sooo... multiply
2/3 x 4/4 = 8/12
1/4 x 3/3 = 3/12
8/12 + 3/12 = 11/12