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Goshia [24]
2 years ago
4

Are there numbers whose squares are smaller than the number themselves rewrite it

Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

Numbers greater than zero but less than one have squares that are smaller.

Consider the number one-half (1/2); half of a half is a quarter (1/4 < 1/2)!

Of course, the square of a negative number is greater (since a negative squared is positive).

Only the numbers zero and one are equal to their squares.

another explanation:

Yes .

In fact there is an infinite number of numbers that have that condition. For example (1/2)² = 1/4.

In fact any positive number ’n’ such that 0<n<1 is a number which has a smaller number when squared.

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Three students solve a challenge math problem. Every day, the number of students who solve the problem doubles. There are 384 st
attashe74 [19]

OK, so this is assuming we are considering that the first three kids to solve ARE NOT in the first day.


So we have 3 kids and it doubles

Day 1 : 6

Day 2 : 12

Day 3 : 24

Day 4 : 48

Day 5 : 96

Day 6 : 192

Day 7: 384


So it should take 7 days or a week to solve all the problems.

The equation:

(3 * 2)^x = 384


8 0
2 years ago
Read 2 more answers
Find the 17th term of the of the arithmetic sequence-5,0,5,10
Lilit [14]
An=a1+d(n-1)
first term is -5 (only way for it to make sense)
common difference is proabtly 5

an=-5+5(n-1)
17th term
an=-5+5(17-1)
an=-5+5(16)
an=-5+80
an=75
17th term is 75
8 0
2 years ago
Read 2 more answers
After 8 years a loan grows to $75 210. If the interest was compounded annually at a rate of 8.5%, find the size of the initial l
stealth61 [152]
Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
Initial loan = ?

In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.

PV = FV / (1 + i)^n

PV = 75,210 / (1 + 0.085)⁸

PV = 75,210 / (1.085)⁸

PV = 75,210 / 1.9206

PV = 39,159.64

Initial loan is $39,159.64
total interest is $75,210 - 39,159.64 = $36,050.36

3 0
2 years ago
A basketball player has made 70​% of his foul shots during the season. Assuming the shots are​ independent, find the probability
bija089 [108]

Answer:

a) 0.07203

b) 0.0189

c) 0.973

Step-by-step explanation:

Probability of making one shot, for the player = 70% = 0.70

Probability of NOT making a shot = 1 - 0.70 = 0.30

Assuming that the shots are​ independent

a) Misses for the first time on his fifth attempt ​

For him to miss on his for the first time on his fifth attempt, he has to make the first four shots

The required probability = (0.7)⁴(0.3) = 0.07203

b) Makes his first basket on his fourth shot

For him to make his first basket on the fourth shot, he has to miss the first three shots.

Required probability = (0.3)³(0.7) = 0.0189

​c) Makes his first basket on one of his first 3 shots

This is a sum of probabilities; that is, he could make the first basket on the first shot, or miss on the first shot and make the second shot or miss on the first two shots and make the basket on the third shot.

Required probability

= (0.70) + (0.3×0.7) + (0.3×0.3×0.7)

= 0.70 + 0.21 + 0.063 = 0.973

Hope this Helps!!!

3 0
2 years ago
Isa and Jack have part-time jobs.
enot [183]
By process of elimination and plugging in the math we can say that Jack earns 8.25 an hour by multiplying 2*8.25=16.50. Isa must then earn 9.50, therefore she earns a greater hourly pay then Jack as a result 
3 0
2 years ago
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