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oksano4ka [1.4K]
3 years ago
8

67. The Goldbach Conjecture. Recall that a prime number is a

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

<u>Test the conjecture for 10 even numbers</u>

10 = 3 + 7

12 = 5 + 7

14 = 7 + 7

16 = 5 + 11

18 = 5 + 13

20 = 7 + 13

22 = 11 + 11

24 = 11 + 13

26 = 13 + 13

28 = 11 + 17

<u>Do you think the conjecture is true? Why or why not?</u>

I believe the conjecture is true because the sum of two odd numbers is an even number and you can find two prime odd numbers for every even number whose sum is that even number.

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Explain the following composite numbers into product of prime factors.<br>5929​
Alexxx [7]
Since, the prime factors of 5929 are 7, 11. Therefore, the product of prime factors = 7 × 11 = 77.
7 0
3 years ago
after 1 second the ball is 76 feet in the air: after 2 seconds it is 144 feet in the air. Find the height of the function. h(x)=
MArishka [77]
General equation for height, h
h = ut + 0.5gt^2

at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a

at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a

Subtract 2 equations
0.5a = -4
a = -8
u = 80

So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
4 0
4 years ago
Triangle ABC has vertices at A(2, 2), B(4,7), and C(6,2). Classify the triangle according to the side lengths.
zmey [24]

Answer:

Isosceles triangle

Step-by-step explanation:

Length AB

√(4 - 2)² + (7 - 2)²

√2² + 5²

√4 + 25

√29

Length AC

6 - 2 = 4

Length BC

√(6 - 4)² + (2 - 7)²

√2² + (-5)²

√4 + 25

√29

Length AB and BC is the same.

Length AC is the longest side.

Therefore, it is an isosceles triangle.

4 0
4 years ago
Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B?
Harlamova29_29 [7]

A\cap B=\{x:x\in A \wedge x\in B\}

A\cap B=\{2,4\}

3 0
3 years ago
Read 2 more answers
Find the equation of a line with each of the following characteristics. a) parallel to the line y = 3x + 5 and has a y-intercept
Vedmedyk [2.9K]

Answer:

y = 1/2x - 1

Step-by-step explanation:

When you put all three equations from the question into a graph and then input the equation i just gave you it will be perpendicular to line B & C, also it will be parallel to line A. Finally you can check yourself that it also has a y-intercept of (0,-1) & an x-intercept of (2,0). Hopefully this helps out & gets brainliest. xD

4 0
3 years ago
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