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mojhsa [17]
1 year ago
10

A stone is thrown vertically upward from a platform that is 20 feet height at a rate of 160 ft/sec. Use the quadratic function h

(t) = −16t^2 + 160t + 20 to find how long it will take the stone to reach its maximum height, and then find the maximum height.
Mathematics
1 answer:
Nutka1998 [239]1 year ago
6 0

Check the picture below.

\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+20} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\left(-\cfrac{ 160}{2(-16)}~~~~ ,~~~~ 20-\cfrac{ (160)^2}{4(-16)}\right) \implies \left( - \cfrac{ 160 }{ -32 }~~,~~20 - \cfrac{ 25600 }{ -64 } \right) \\\\\\ \left( 5 ~~~~ ,~~~~ 20 +400 \right)\implies (\stackrel{seconds}{5}~~,~~\stackrel{feet}{420})

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This is a true or false answer please help me**
Nitella [24]

Answer:

5False

6  true

7 true

Step-by-step explanation:

5 Complementary angles add to 90 degrees not 180 degrees

6  40+50 = 90 so they are complementary

7 Supplementary angles add to 180

   145+x = 180

Subtract 145 from each side

145-145 +x = 180-145

   x = 35

3 0
3 years ago
Use the discriminant to determine the type and number of solutions.
Nata [24]

The type and number of solutions is (b) two imaginary solutions.

<h3>How to determine the type and number of solutions?</h3>

The equation is given as:

3x² + 5x + 5 = 0

A quadratic equation can be represented as:

ax^2 + bx + c = 0

Where, the discriminant (d) is

d = b^2 - 4ac

So, we have

d = 5^2 - 4 * 3 * 5

Evaluate

d = -35

The value of d is negative

This means that the equation has only imaginary solutions

Hence, the type and number of solutions is (b) two imaginary solutions.

Read more about number of solutions at

brainly.com/question/25275758

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5 0
1 year ago
Sample of 3 items is selected at random from a box containing 20 items of which 4 aredefective. find the expected number of defe
azamat
That's 54 I think. 20x3=60-4=54
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3 years ago
Under certain conditions, the number of bacteria present in a colony is approximated by f(t) = Age 0.023t, where t is in minutes
AleksandrR [38]

Answer:

  • 5 min: 3,029,058
  • 10 min: 3,398,220
  • 60 min: 10,732,234

Step-by-step explanation:

The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).

__

<h3>5 minutes</h3>

The number of bacteria present after 5 minutes is about ...

  f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058

<h3>10 minutes</h3>

The number of bacteria present after 10 minutes is about ...

  f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220

<h3>60 minutes</h3>

The number of bacteria present after 60 minutes is about ...

  f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234

8 0
2 years ago
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15x over 2 dont know how to do it on computer

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