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zubka84 [21]
4 years ago
13

why is there no need to go further than the multiples of 7 when checking if a number less than 100 is prime​

Mathematics
1 answer:
andrezito [222]4 years ago
5 0

Step-by-step explanation:

because 7 is the highest prime number that when squared is less than 100, 11 yhe next prime number when squared is 121. As such all non-prime numbers less than 100 will be a would have prime factors of either 2, 3, 5 & 7

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Starting at sea level, a submarine descends at a rate of 65 meters per minute. Relative to sea level, where is the submarine 10
Stolb23 [73]

Answer:

Step-by-step explanation:

It's awfully deep.

1 minute = 65 meters

10 minutes = 10 * 65 = 650 meters below sea level.

7 0
3 years ago
Dylan and Beatrice are working with the same function. Dylan input −8 into the function and got an output of 8.
kolbaska11 [484]

Answer:

Part A: If Beatrice inputs −8 into the function, she must get an output of 8.

Part B: (−4,8) , (4,−8) , (8,−4)

Step-by-step explanation:

Part A:

We know that a function is a relation that maps elements from one set (The domain, the set of the inputs) into elements from another set (the range, the set of the outputs)

Such that each input can be mapped into only one output.

Then if we know that our function maps the input -8 into the output 8.

Always that we use this function with the input -8. we will have the same output, 8.

Then we can conclude that the correct option to the first part is:

"If Beatrice inputs −8 into the function, she must get an output of 8. "

Part B:

Remember, -8 is mapped into 8, then the point (−8,4) (this says "-8 is mapped into 4) can never be on the graph of the function.

But the points:

(−4,8) , (4,−8) , (8,−4)

Could be on the graph of the function.

4 0
3 years ago
The sum of nine times a number, and 4, is equal to eight times the number.
pishuonlain [190]

Answer:

-4

Step-by-step explanation:

Let's put this in math notation. We can call the number x:

9x+4=8x

Subtract 8x from both sides:

x+4=0

Subtract 4 from both sides:

x=-4

4 0
2 years ago
Read 2 more answers
A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal parts of dark chocolate and carame
Sphinxa [80]
If we let x as candy A
y as candy B
a as dark chocolate in candy a
b as dark chocolate in candy b
c as caramel
d as walnut
P as profit
we have the equations:
a + c = x
2b + d = y
a + 2b ≤ 360
c ≤ 430
d ≤ 210
P = 285x + 260y

This is an optimization problem which involves linear programming. It can be solved by graphical method or by algebraic solution.
P = 285(a + c) + 260(2b +d)
If we assume a = b
Then a = 120, 2b = 240
P = 285(120 + 120) + 260(240 + 120)
P = 162000
candy A should be = 240
candy B should be = 360
6 0
4 years ago
K-2k=15+1+6k-2 help me
sveticcg [70]
K - 2k = 15 + 1 + 6k - 2

-k = (15 + 1 - 2) + 6k

-k = 14 + 6k      |subtract 6k from both sides

-7k = 14    |divide both sides by (-7)

k = -2
6 0
3 years ago
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