The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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Jen bought 5 CDs for $57.50. What was the unit rate?
Jen bought 5 CDs for $57.50. What was the unit rate?
The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.
To find the unit rate of an item, you need to divide the price by the quantity.
[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]
The first step is to substitute the given amounts into the above formula.
[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]
Now, all you need to do is divide.
[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]
The unit rate is $11.50 per CD.
Answer:
The unit rate is $11.50 per CD.
Step-by-step explanation:
The number 4 is an upper bound for the set of roots of this polynomial function. f(x)=3x^4-5x^3-5x^2+5x+2
A.true
B.false
True the no. 4 is an upper bound for the set of roots for the given polynomial.The roots can be real, imaginary or complex.
How to determine degree of a polynomial ?To determine the degree of a polynomial just observe the highest power of the given variable.
According to the given question
A polynomial is given
f(x) = 3x⁴ - 5x³ - 5x² + 5x +2
Here we can observe that it is a polynomial in of degree 4.
We know that a polynomial of degree 'n' has n no. of roots so obviously a polynomial of degree 4 has 4 roots.
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Can you please answer ASAP I need the answer
Answer:
I think x=8
Step-by-step explanation:
5(x+7)+15=90
90 because it's a 90 degree angle
5x+35+15=90
5x+50=90
5x=40
x=8
A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.
A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?
Answer:
Answer 26.35 rounded to 30
Step-by-step explanation:
Can you explain pls
Answer:
d
Step-by-step explanation:
If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.
i will mark you as brainliest please help!!
Answer:
y=x
Step-by-step explanation:
y1 is -4 and x1 is -4 so I think that's the amswer
Helpppppppppppppppppppppp
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled? 29 32 3212 234916
Answer: 30 small bags
Step-by-step explanation:
From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.
When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:
= 6514/214
= 30.43
= 30 small bags
The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?
Hi there
I think I maybe able to help.
Here is my answer:
996
Hope this helps
(Random question)
Guys I have 2 doubts
1.If anything is possible, is it possible for anything to be impossible?
2. If you enjoy wasting time, is that time really wasted?
Can you answer it??
Only answer if you can answer it
(well it says tht these two are unanswerable questions)
Step-by-step explanation:
to be honest in my opinion
1.)the impossible makes things possible nothing is possible untill it goes through impossible (simply implying the impossible makes things possible)e.g when you undergo anything hard you learn to not give up making that thing possible in the end
2.)one should not enjoy wasting but should enjoy making and building up time for fun and important things in life like hanging out with your family and friends that's a result of making time for enjoyment instead of wasting it lol
Yuuki kun hopes he was helpful^^
Answer:
if anything was possible that it WOULD be possible for the unpossible to be possible just confused myself
Step-by-step explanation:
Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV
3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths
9 cm, x cm, and 12 cm joining to form right triangle at the centre
12 inches
15 inches
108 inches
144 inches
Answer:
where is the figure? upload the fig too
Answer:
15
Step-by-step explanation:
9*9+12*12=225
12*12=144
15*15=225
108*108=11664
144*144=20736
What is the value of x?
Answer:
x=30
Step-by-step explanation:
A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a
video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly
selected. Let M be the event that the participant brought a microwave and let C be the event that the participant
brought a video game console. Organize these events in a two-way table. What is the probability that the participant
brought both a microwave and a console, P(M and C)?
0.65
0.71
0.76
0.90
Answer:
The answer is B. 0.71
Step-by-step explanation:
The probability that the participant brought both a microwave and a console is 0.65.
Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:
500 = 425 1 = X 425/500 = X 0.85 = X 380/500 = X 0.76 = X 0.85 x 0.76 = X 0.646 = X
Therefore, the probability that the participant brought both a microwave and a console is 0.65.
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will 20,40,30 form a right triangle
Answer:
Yes
Step-by-step explanation:
Because it is equal to 90
Answer:
accutally the answer is no i had the same thing
Step-by-step explanation:
Write the ratio 12 dollars for 3 tickets as a unit rate
Answer:
12:3
Step-by-step explanation:
Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
Answer:
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
Step-by-step explanation:
The model equation is given as:
52(18) + x = 1200
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
52($18) + x = $1200
52(18) + x = $1200
Option a is correct
b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.
x = weekly bonus, hence, we have the equation:
$18 + (x)52 = $1200
Option b is wrong
c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.
This is represented as:
$52 + $18(x) = $1200
Option c is wrong
d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
This is represented as :
$52+ $x + $18 = $1200
Option d is wrong.
Therefore, the correct statement that modelled the equation is option a
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00
Answer:
1200
Step-by-step explanation:
15/18 * 1000/x
x = 1200
Answer:
1200 minute / 20 hour
Step-by-step explanation:
[tex]1000 \times 18 = 18000[/tex]
[tex]18000 \div 15 = 1200[/tex]
1+2x6+7= -13
where do i have to put the parenthesis so its correct
Answer:
you have to but it back 2 times
Step-by-step explanation:
ir is because it should be back 2 rimes
Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?
A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.
Answer:
Let 2n + 1 be an odd number...... B/2nd option
Step-by-step explanation:
The best choice is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.
Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
What is Conjecture?A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.
First, Only three examples are given which is not appropriate at all.
Second, This is the best proof is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
Fourth, State the meaning of Title without proof.
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Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
-4( -3 )+ (6-2)/64 = ?
Answer:
12.0625
Step-by-step explanation:
Im not sure but im pretty sure it's correct
12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.
Whitch of the following best represents a graph with a range that is less than -3?
which sutuation could be represented by -11
Answer:
You have no apples then loose 11 more
Step-by-step explanation:
Trust
Plz help I’ll give brainliest
Answer:
b
Step-by-step explanation:
Find the product.
(t - ys)(8t - ys)
Is this a geometric sequence? 100,50,10,5, 1,...
Answer:
No
Step-by-step explanation:
Class 6 are going on a trip to a windmill.
The trip costs £3.70 each and there are 26 students in 8A. How much money should be collected?