What is 40.15% of 23?

Mathematics

2 answers:

Lilit [14]3 years ago

8 0

$1\%=\frac{1}{100}\\\\ 40.15\%\cdot 23=40.15 \cdot \frac{1}{100}\cdot 23=\frac{923.45}{100}=9.2345$

klemol [59]3 years ago

6 0

Hey!

Hope this helps...

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This is actually a pretty easy question... all we have to do is 23 * 0.4015

We know that %40.15 = 0.4015, because 40.15/100 = 0.4015...

So 23 * 0.4015 = 9.2345

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The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).

Alex17521 [72]

Answer:

Step-by-step explanation:

[using calculus] When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have $h'(t) = -32t + 48$ , which equals zero when $t = 3/2 = 1.5$ . The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

[without calculus] This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.