Answer:
2.69 x 
Step-by-step explanation:
We are given the heart's speed - 70 bpm
We count the number of minutes in 73 years :
- 1 year = 365 days
- 1 day = 24 hours
- 1 hour = 60 minutes
- 73 x 365 x 24 x 60 = 38,368,800 minutes
We multiply the heart's bpm with 73 years worth of minutes
38,368,800 x 70 = 2,685,816,000
Write the number in scientific notation = 2.68581 x ≈ 2.69 x
Use the interior angles theorem for the triangles I hope my answer helped if you have any questions don't be afraid to ask <span>(o^▽^o) <3</span>
y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.
<h3>
What is Kinetic Energy?</h3>
Kinetic energy is simply a form of energy a particle or object possesses due to its motion.
It is expressed as;
K = (1/2)mv²
Where m is mass of the object and v is its velocity.
Given that;
- Mass of the bowling ball m = 3kg
- Velocity of the bowling ball v = 2.6m/s
We substitute the given values into the above equation.
K = (1/2)mv²
K = 0.5 × 3kg × (2.6m/s)²
K = 0.5 × 3kg × 6.76m²/s²
K = 10.14kgm²/s²
K = 10.14J
Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.
Learn more about kinetic energy here: brainly.com/question/12669551
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Answer:
(6,0)
Step-by-step explanation:
The given system has equations:
Multiply the top equation by 2 to get:
Subtract the top equation form the bottom equation to get:
Put y=0 into
Therefore the solution is (6,0)
