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Travka [436]
3 years ago
5

a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) =

-16x^2 + 10x + 100, where x is time in seconds. during which interval is the diver at least half way down
Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

Answer:

2.1 < x < 2.5 seconds

Step-by-step explanation:

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What is the square root of 144
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Find the measure of the reference angle for an 11 radian<br> radian angle.
Vesnalui [34]

Answer:

  about 1.56637 radians ≈ 89.746°

Step-by-step explanation:

The reference angle in radians can be found by the formula ...

  ref angle = min(mod(θ, π), π -mod(θ, π))

Equivalently, it is ...

  ref angle = min(ceiling(θ/π) -θ/π, θ/π -floor(θ/π))×π

<h3>Application</h3>

When we divide 11 radians by π, the result is about 3.501409. The fractional part of this quotient is more than 1/2, so the reference angle will be ...

  ref angle = (1 -0.501409)π radians ≈ 1.56637 radians ≈ 89.746°

__

<em>Additional comment</em>

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

4 0
2 years ago
May someone please help me out with this problem? May you also explain it?
gavmur [86]

Answer:

Step-by-step explanation:

Given function is,

f(x) = \sqrt{x}

If the given function is vertically stretched by a scale factor of \frac{3}{2} Or 1.5,

Transformed function will be,

h(x) = \frac{3}{2}[f(x)]

h(x) = \frac{3}{2}(\sqrt{x})

Further function 'h' is shifted 1 units upwards,

g(x) = h(x) + 1

g(x) = \frac{3}{2}(\sqrt{x} )+1

Domain of the function → x ≥ 0 Or [0, ∞)

Range of the function → y ≥ 1 Or [1, ∞)

Transformations done → Parent function f(x) is vertically stretched by a scale factor of \frac{3}{2} then shifted 1 unit upward.

3 0
3 years ago
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