1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
finlep [7]
3 years ago
12

Show work and explain with formulas.

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
6 0

20 Answer: a₁ = 4

<u>Step-by-step explanation:</u>

a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1

21 Answer: n = 13

<u>Step-by-step explanation:</u>

a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n

22 Answer: n = 5

<u>Step-by-step explanation:</u>

a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n

soldier1979 [14.2K]3 years ago
3 0

20 Answer: a₁ = 4

Step-by-step explanation:

\begin{lgathered}a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1\end{lgathered}

a

n

=324, r=3, n=5

a

n

=a

1

⋅r

n−1

324=a

1

⋅3

5−1

3

4

324

=a

1

81

324

=a

1

4

=a

1

21 Answer: n = 13

Step-by-step explanation:

\begin{lgathered}a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n\end{lgathered}

a

n

=

64

1

, a

1

=64, r=

2

1

a

n

=a

1

⋅r

n−1

64

1

=64⋅(

2

1

)

n−1

64⋅64

1

=(

2

1

)

n−1

2

6

⋅2

6

1

=

2

n−1

1

6+6=n−1

13

=n

22 Answer: n = 5

Step-by-step explanation:

You might be interested in
The answer is 355 houses, but can someone tell me how please?
Ymorist [56]
So you do 20%*426 to get 85.2 then you would subtract 85.2 from 426 because they sold 20% more than last year.  On top of that the answer isn't 355 it is 340.8.
5 0
3 years ago
Bob's Gift Shop sold 600 cards for Mother's Day. One salesman, Victoria, sold 10% of the cards sold for Mother's Day. How many c
Aleonysh [2.5K]

Answer:

60

Step-by-step explanation:

600*10%

8 0
3 years ago
To equation solve 8 = h/-3 +19
Naya [18.7K]
8h/3+19
Move all terms to the left
8-(h/3+19)=0
Get rid of parentheses
-h/3-19+8=0
Multiply all terms by denominator
-h-19*3+8*3=0
Add all numbers and variables together
-1h-33=0
Move all terms containing h to the left all other terms to the right
-h=33
h=33/-1
h=-33
6 0
3 years ago
Simplify. Your answer should only contain only positive exponents.
Xelga [282]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A hypothesis is ________. a prediction about something that has not yet been observed a statement that explains an observed phen
AlexFokin [52]

Answer:

a testable proposition that explains an observed phenomenon or answers a question

Step-by-step explanation:

Basically an hypothesis is a theory given as a solution to a question proposed by a problem in from of you, but that it needs testing before it can be taken as truth or not

8 0
3 years ago
Other questions:
  • Describe the better buy if you plan to buy lots of milk. Support your answer with tables,
    6·1 answer
  • Please answer this question! brainliest and 25 points to the CORRECT answer!
    15·1 answer
  • how to find the area of two-dimensional and three-dimensional shapes? Please put small words so I will understand it ty :]
    9·1 answer
  • Please help! Correct answer only!
    13·1 answer
  • Can someone pls help me out
    7·2 answers
  • 3. Hank makes $416.83 in 5 days. How much does he make in 3 days?​
    8·1 answer
  • What is this line called on a ruler and what is it used for?
    15·1 answer
  • The conference will begin at 8:30 a.m. and will last 5 hours 45 minutes. What time will the conference be over?
    10·1 answer
  • 20) The volume of a cone is 1871 cubic feet. If the height of the cone is 6 ft, what is the radius of the cone? (V =
    7·1 answer
  • What is 166.44 dived by 4. PLEASE USE LONG DIVISION. The person who USES LONG DIVISION TO GET THE ANSWER GETS 10 points and brai
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!