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2 years ago

11

Can every even number be written as a sum of two primes?

1 answer:

astraxan [27]2 years ago

5 0

The Goldbach Conjecture is a yet unproven conjecture stating that every even integer greater than two is thesum of two prime numbers. The conjecture has been tested up to 400,000,000,000,000. Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics.

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What is the equation of the line through (4,5) and (0,-3)

Allisa [31]

Answer:

y = 2x - 3

Step-by-step explanation:

Slope intercept equation of a line:

y = mx + b

(0, -3) is the y-intercept, so b = -3

We have

y = mx - 3

Now we use the two points to find the slope.

slope = m = (-3 - 5)/(0 - 4) = -8/(-4) = 2

y = 2x - 3

8 0

2 years ago

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Mike has a stack of 10 cards numbered 1 to 10 if he randomly chooses two cards without replacing the first one drawn what is the

Gekata [30.6K]

4 out of 10 because the amount of prime numbers from 1- 10 is

2, 3, 5, and 7.

Hope this helps!

7 0

2 years ago

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A recipe calls for 3 cups of milk to make 30 biscuits. How many cups of milk will you need to make 45 biscuits?

anastassius [24]

The answer is: 4.5 cups.

The explanation is shown below:

1. You need 3 cups of milk to make 30 biscuits.

2. Therefore, to solve the exercise you only need to multiply 45 biscuits by 3 cups and divide this by 30 biscuits.

3. Let's call the cups you will need to make 45 biscuits $x$ . Then, you have:

$x=\frac{(45)(3)}{30}\\x=4.5$

4. Therefore, you will need 4.5 cups to make 45 biscuits.

4 0

2 years ago

Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70

kumpel [21]

Answer:

His acceleration is $\frac{1}{15}$ meters per seconds²

Step-by-step explanation:

Acceleration is the rate of change of the speed

The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$ , where

$v_{f}$ is the final speed
$v_{i}$ is the initial speed
The unit of the acceleration is meters/second²

∵ Jim goes from 70 meters/minute (beginning speed) to

106 meters/minute (final speed) in 9 seconds

∴ His initial speed $v_{i}$ = 70 meters/minute

- Change it the meter per second

∵ 1 minute = 60 seconds

∴ $\frac{70}{(1)(60)}=\frac{70}{60}=\frac{7}{6}$ meters/second

∴ $v_{i}$ = $\frac{7}{6}$ meters/second

∵ His final speed $v_{f}$ = 106 meters/minute

- Change it the meter per second

∴ $\frac{106}{(1)(60)}=\frac{106}{60}=\frac{53}{30}$ meters/second

∴ $v_{f}$ = $\frac{53}{30}$ meters/second

∵ The time of the change of his speed is 9 seconds

∴ t = 9

∵ The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$

- Substitute the values of t, $v_{i}$ and $v_{f}$ in the formula above

∴ $a=\frac{\frac{53}{30}-\frac{7}{6}}{9}=\frac{1}{15}$

∴ His acceleration is $\frac{1}{15}$ meters per seconds²

3 0

2 years ago

300 yards / 1 minute find unit rate feet per wonds

Serhud [2]

132 ft / sec. I believe this is the answer.

5 0

2 years ago