Answers
Answer:
2/3
Step-by-step explanation:
2nd term = 2/5
5th term = 16/135
Nth term for any series is given by [tex]a r^n-1[/tex]
where a is the forst term
r is the common ratio
for 2nd term
[tex]2nd \ term = ar^n-1 = 2/5\\2nd \ term = ar^2-1 = 2/5\\2nd \ term = ar= 2/5\\[/tex]
for 5th term
[tex]5th \ term = ar^5-1 = 16/135\\\\5th \ term = ar^4 = 16/135\\[/tex]
Since we have to eliminate a and find r .
we can divide 5th term by second term
then we get the following equation
[tex]2nd term/ 5th \ term = ar/ar^4 = (2/5) / (16/135)\\=>1/r^3 = 2*135/5*16 \\=>1/r^3 = 27/8\\=>1/r = \sqrt[3]{27/8} \\=> 1/r = 3/2\\=> r = 2/3[/tex]
\
Thus, common ratio is 2/3.
Related Questions
A number is chosen at random from 1 to 50. Find the probability of selecting multiples of 12.
Answers
Answer:
P(multiples of 12)=1/25
Step-by-step explanation:
Multiples of 12: 12, 24, 36, 48
That is 4/50=1/25
What is the volume of the cylinder? Use 3.14 for piπ.
hight = 11 cm
Radius = 4 cm
Answers
Answer:
552.64 cubic centimeters
Step-by-step explanation:
The volume of a cylinder is:
[tex]\pi r^2 h=\\\\3.14 \cdot 4^2 \cdot 11=\\\\3.14 \cdot 176=\\\\552.64[/tex]
Hope this helps!
So the right answer is 552.64cm^3
look at the attached picture
Hope it will help you
Good luck on your assignment
Will Mark Brainliest.
Answers
Answer: The correct answer is B]
Mark me as a brainliest.
Step-by-step explanation:
Which expression is equivalent to 2 × 2 × 2?
Answers
Answer:
2 to the power of 3
Step-by-step explanation:
WILL MARK BRAINLIEST.
Answers
Answer:
option d
Step-by-step explanation:
The cross section of the rectangular prism is parallel to the base.
So, the length and width is congruent to the base. So, same length and width
How much wood does it take to make a storage box that is
4 feet square on the bottom and 3 feet high, with a lid? Do
not count overlap.
A.80 ft
B.80 ft2
C.48 ft3
D.48 ft2
Answers
Explanation: I guessed and it was right
Mark can make 42 birthday cakes in 7 days.
How many birthday cakes can Mark make in 5 days?
Answers
Answer:
30
Step-by-step explanation:
42 cakes = 7 days
? cakes = 1 day
= 6 cakes in one day
then just multiply by 5 days
answer: 30 cakes
Answer:
30
Step-by-step explanation:
a light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control officer predicts that 700 bulbs will be defective out of 15,500 bulbs made. Do you agree? Explain.
Answers
Answer:
No, 4% is 620 light bulbs
Step-by-step explanation:
No, because 700 out of 15,500 is 4.5% not 4 %. 4% of 15,500 would be 620 light bulbs
the sum of four consecutive integers is 34. find the least of the numbers
Answers
Answer:
7
Step-by-step
n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer
n+(n+1)+(n+2)+(n+3)=34
4n+6=34
4n=28
n=7 ANSWER: The smallest integer is 7
CHECK:
7+8+9+10=34
34=34
the least of the four consecutive integers is 7.
Let's denote the four consecutive integers as x, x + 1, x + 2, and x + 3.
According to the given information, the sum of these four consecutive integers is 34:
x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 34
Simplifying the equation:
4 x + 6 = 34
Subtracting 6 from both sides:
4 x = 28
Dividing both sides by 4:
x = 7
The four numbers are 7, 8, 9, 10
Therefore, the least of the four consecutive integers is 7.
Learn more about consecutive integers here
https://brainly.com/question/29123756
#SPJ2
which of the following changes represents a percent decrease?
a) 10 gallons to 24 gallons
b) 24 songs to 78 songs
c) 72 paper clips to 63 paper clips
d) 12 inches to 36 inches
Answers
Answer:
C
Step-by-step explanation:
Considering that C is the only decrease it would leave me to believe it is the correct answer.
Which expression finds the measure of an angle that is coterminal with a 126° angle?
Answers
Answer:
Therefore the expression that finds the coterminal angles is:
[tex]coterminal = 126\º \pm 360[/tex]
Step-by-step explanation:
Coterminal angles are angles that finish at the same line. Therefore in order to find the coterminal angles with 126º we need to add or subtract a angle of 360º. So the expressions are:
coterminal angle = 126º + 360º = 486º
coterminal angle = 126º - 360º = -234º
Therefore the expression that finds the coterminal angles is:
[tex]coterminal = 126\º \pm 360[/tex]
Answer:
126° + (720n)°, for any integer n or D on edge :)
Step-by-step explanation:
Because me big brain
Find the area of each parallelogram.
Answers
Answer:
30 and 21
Step-by-step explanation:
Choose all the numbers that are common multiples of 4 and 5.
25
40
50
60
75
80
Answers
Answer:
40
Step-by-step explanation:
it would be 20 too but there is no opition for this i hope i helped
i hope this helps
Hi :) I need help with the question in the screenshot if anybody knows it can you plz help I will giver brainliest, thanks and points!!!!
Drag each equation to the correct location on the table.
Classify the quadratic equations based on how many solutions they have.
Answers
Answer:
See below
Step-by-step explanation:
Quadratic equations with one solution are:
[tex] (x+2)^2 = 0, \:\: (2x-8)^2 = 0[/tex]
Quadratic equations with two solutions are:
[tex] (2x-11)^2 = 1 [/tex]
Quadratic equations with no solution are:
[tex] (x+2)^2 = - 4, \:\: x^2 + 6 = - 3[/tex]
Answer: EDMENTUM + PLATO
Step-by-step explanation:
Jakob was asked to write an equation and solve this problem. Max saved enough money to buy three tickets to a baseball game. If each ticket costs $18.75, how much money did Max save? Jakob’s work is shown below.
Answers
Answer:
$56.25
Step-by-step explanation:
We know that Max has just enough money to buy 3 tickets that each cost $18.75, so let's write the expression:
18.75 * 3
We just solve this by multiplication:
18.75 * 3 = $56.25
Max saved $56.25.
Answer:
$56.25
Step-by-step explanation:
His savings were equal to the cost of 3 tickets, therefore
Savings = 3 × 18.75
Savings = 56.25
f(x) = 4^x-1; find f(3)
Answers
Answer:
f(3) = 63
Step-by-step explanation:
f(x) = 4^x-1;
Let x =3
f(3) = 4^3 -1
= 64-1
=63
Answer:
f(3)=16
Step-by-step explanation:
This question asks us to find f(3). We have to find what f(x), or y is, when x is equal to 3.
f(x)=4^x-1
Substitute 3 in for x.
f(3)=4^3-1
First, subtract what is in the exponents.
f(3)=4^2
4^2 is the same as multiplying 4, 2 times.
4^2=4*4=16
f(3)=16
Each interior angle of a regular polygon is 140°.Find the number of sides of the polygon.
Answers
Answer :
9 sides
Explanation:
Step 1
Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Step 2
Method 2: Since the exterior angle is 140°
The sum of the interior angles = (2n - 4) × right angles.
So 140n =(2n - 4) ×right angles, or we can also say
140n =(2n - 4) × 90
140n = 180n - 360
40n = 360
Divide both sides of the equation by 40
n = 9 sides.
n = 9 sides.Hence the number of sides is 9 sides.
-5(x+2)=-20
Help me find X
Answers
Answer:
x=2 :D
Step-by-step explanation:
first divide by -5 on both sides to get x+2=4 then subtract 2, and get x=2
Answer:
I'm pretty sure its 2
Step-by-step explanation:
I did the math
Please help!
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a 4?
Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
The probability of first landing on a 4: P = 1/4
The probability of second landing on a 4: P = 1/4
Applying the multiplication rule:
=> The probability of landing on a 4 and then landing on a 4:
P = (1/4) x (1/4) = 1/16
Hope this helps!
:)
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?
Answers
Answer:
Step-by-step explanation:
if m is the slope of given line.
Then eq. of parallel line through (-4,-6) is
y+6=m(x+4)
Answer:
y=-6
Step-by-step explanation:
The line shown is a horizontal line through the y-axis and has the equation y=4. A parallel line to it is a line that does not cross it. It will also have the form y=a where a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.
If 30% of the students taking a module failed the practical test. The class has 130 students. How many students passed the test?
Answers
Answer:
91 students passed the test.
Step-by-step explanation:
130 / 10 = 13
13 x 3 = 39
130 - 39 = 91
Answer:
91 students passed the test.
Step-by-step explanation:
We need to find 10% of 130.
130÷10=13
Then we need to make it 30% in order to see the amount of students that failed the test.
13×3=39
Then we need to do 130 - 39 (The whole class- 30%)
130-39=91
How does subtracting the same amount from each value in a data set affect the mean,median,mode, and range? Explain.
Answers
Answer:
The mean, the median, the mode and the upper and lower limits of
the range would each be reduced by the amount subtracted.
Step-by-step explanation:
By selling a book for $16.50, a bookseller loses 12%. What is the cost price of the book?
Answers
Answer: 18. 75
Step-by-step explanation:
plz follow my table format here i will be delighted to share
cp percent fraction sp
-12 88/100 16. 50
100*16.50 /88= 18.75
jogging burns 375 calories in 45 minutes. determine how many calories are burned per hour
Answers
Answer:
500 calories are burned per hour
Step-by-step explanation:
First Step:
Find out how many calories they burn per minute
375/45 which equals 8.333
8.333 calories are burned per minute
Second Step:
Multiply 8.333 by 60 (representing an hour) to get your calories burnt per hour
Final Answer: 500 calories are burnt per minute
not good with angles PLEASE HELP due very soon
Answers
Answer:
180 - 62 - 57 = 61
∠BAD = 180 - 61
∠BAD = 119°
Step-by-step explanation:
I need some help with these
A fruit merchant earns a profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. If he sells 200 bags of oranges and 350 bags of grapes, find the total profit/loss.
In a test (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. Neha gets 4 correct and 3 incorrect out of 7 questions she attempted. What is her score?
The weight of an object on Moon is 1/6 its weight on Earth. Find the weight of the object on Moon which weighs 28/5 Kg on Earth.
Find 3/4 of 5/7
It'd really help me out if anyone answers this!!
Answers
Answer:
1) A profit of Rs 250 is made.
3) 11 marks
3) 14/15 kg
4) 15/28
Step-by-step explanation:
1) A profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. The total profit/loss from selling 200 bags of oranges and 350 bags of grapes is:
total profit/loss = 200 (10) - 5(350) = 2000 - 1750 = Rs 250
A profit of Rs 250 is made.
2) (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. If he answer 4 correct and 3 incorrect out of 7 questions. His score is:
Score = 5(4) - 3(3) = 20 - 9 = 11 marks
His score is 11 marks
3) An object weighs 28/5 kg on earth. Since its weight on moon is 1/6 its weight on Earth.
The weight on moon = 1/6 × 28/5 = 14/15 kg
4) 3/4 of 5/7 = 15/28
the cost of fun for kids magazine for x number of months is shown below
If the cost (C) of another magazine, Family Fun, for x number of months is
given by C=1.99x, which magazine costs more?
Answers
Answer:
5 is the answer mate
Step-by-step explanation:
Find the value of c (x-2) is a factor of the polynomial p(x). P(x)=x^3-4x^2+3x+c
Answers
Answer:
c = 2
Step-by-step explanation:
P(x)=x^3-4x^2+3x+c
The polynomial has x - 2 as a factor
Rewriting the polynomial as:
x^3-4x^2+3x+c = x^3 - 2x^2 - 2x^2 + 4x - x + c =x^2(x - 2) - 2x(x - 2) - (x - c)As we see the first 2 terms have (x -2) as a factor, so the third term:
(x - c) = (x - 2) c=2Answer is c= 2
The base 10 log table shows that the value of log10^50 is about 1.69897. explain or show why it makes sence that the value is between 1 and 2
Answers
Answer:
Step-by-step explanation:
Given
[tex]\log _{10}\ 50=1.69897[/tex]
and we know that
[tex]\log _a\ a=1[/tex]
therefore
[tex]\Rightarrow \log _{10}\ 10=1[/tex]
and [tex]\Rightarrow \log _{10}\ 100=\log _{10}\ 10^2=2[/tex]
and [tex]50[/tex] lies between [tex]10[/tex] and [tex]100[/tex] . So, its value must lie between [tex]1[/tex] and [tex]2[/tex]
Pleaseeeeeeeeeee helppppppp i will mark brainlest
Answers
Answer:
b) 40
Step-by-step explanation:
By angle sum property of a triangle:
[tex] x°+20°+120°=180°\\
x°+140°=180°\\
x°=180°-140°\\
x° = 40°\\
\huge \red {\boxed {\therefore x = 40}} [/tex]
Answer:
B)40°
Step-by-step explanation:
Sum of angles in a triangle =180°
120°+20°+x°=180°
140°+×°=180
Collect like terms
x°=180°-140°
x°=40°