Answer:
The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).
Step-by-step explanation:
We have to solve the given quadratic equation of single variable t.
The equation is 16 = 2t + 0.25t²
⇒ 0.25t² + 2t - 16 = 0
⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}
⇒ 25t² + 200t + 400 - 400 - 1600 = 0
⇒ (5t + 20)² - 2000 = 0
⇒ (5t + 20)² - (20√5)² = 0
⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0
So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0
⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0
⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)
9514 1404 393
Answer:
106
Step-by-step explanation:
Each of the whole numbers could be 4 greater than the value it is rounded down to. Then the maximum original sum is ...
90 +4 +4 +4 +4 = 106
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<em>Example</em>
The numbers could be 14, 24, 34, 34. Their rounded values are 10, 20, 30, 30, for a total of 90. The total of the original numbers is 106.
Answer:
Constant, Rate of Change is 9.
Step-by-step explanation:
Divide each and the answer is 9.
Answer:
13.8
Step-by-step explanation:
His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.
Dive = platform + under the surface
Dive = 10 + 3.8
Dive = 13.8
