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
kondor19780726 [428]
2 years ago
9

An n-digit number is a positive number with exactly n digits. Nine hundred distinct n digit numbers are to be formed using only

three digit 5, 7, 9. The smallest value of n for which this is possible is :
(A) 6
(B)7
(C)8
(D)9
Mathematics
1 answer:
kolbaska11 [484]2 years ago
5 0

\underbrace{3\cdot3\cdot3\cdot\ldots}_{n}\geq900\\\\
3^n\geq900\\\\
\log_3 3^n\geq \log_3900\\\\
n\geq \log_3900\\\\
n\geq\dfrac{\ln 900}{\ln 3}(\approx6.2)

So, the least n is 7.

You might be interested in
How do I solve 6=1/2z
ahrayia [7]

Answer:

z=12

Step-by-step explanation:

divide by 1/2 to get the variable z by itself

3 0
3 years ago
What is the perimeter of this tile 4in. 1in.? is it 10 in. or 10 in2power
coldgirl [10]

 

P = 2 × 4in + 2 × 1in = 8in + 2in = 10in

<h2><u>P = 10 in</u></h2>

 

 

3 0
3 years ago
What is the median of 6, 7, 9, 12, 15?
miv72 [106K]
The median is nine. All you need to do is cross one off from each side until you get to the midde. In this case, the answer is 9
Also, make sure you always put them in order
6 0
2 years ago
Read 2 more answers
6+754+537+633+632+11+98+2
Mariana [72]

Answer:

2673

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Bruh I’m so confused on how to do this
Dmitrij [34]

Rotation doesn't matter for this question... <em>The dilation is key... you made each side of the triangle 4 times bigger</em>

<h3>Answer:</h3>

A. False:

Area= \frac12 \times base \times height .... if the base is 4 times bigger and the height is 4 times bigger .... <em>the area will be </em><em>16</em><em> times bigger</em>

B. True  .... you just add all sides, each is 4 times bigger

C. False ... by definition of dilation, the sides grew

D. True... Size changed, but the shape stayed the same (so, did the angles)

3 0
2 years ago
Other questions:
  • HELP ASAP NOW NOW NOW NOW!!! Suppose three riders rode a total of 182 miles.
    12·1 answer
  • Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount
    10·2 answers
  • 256 equals j subtracted from 199
    5·2 answers
  • The value of n for the equation 5n = 5 11 × 5 3
    5·1 answer
  • Please help me struggling
    10·1 answer
  • Please answer the question with words
    6·1 answer
  • I need help with this question please and thank you
    11·1 answer
  • in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y
    10·1 answer
  • The diagonals of a rhombus are
    15·1 answer
  • Nadine had 20 minutes to do a three-problem quiz. She spent 10 7/10 minutes on question A and 6 2/5 minutes on question B. How m
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!