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Vanyuwa [196]
2 years ago
7

Does the following scenario represent independent or dependent events?

Mathematics
1 answer:
ra1l [238]2 years ago
5 0
Independent
Hope this helps :)
Can I have brainliest
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A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time
FinnZ [79.3K]

If the ball was thrown straight up at 24 ft/sec when it was 5 ft above the ground, the ball reached a maximum height of 7.25 m

\texttt{ }

<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

\texttt{ }

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = \frac{-b}{2a} } }

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

p(t) = 3gt^2 + v_ot + p_o

p(t) = 3(-32)t^2 + 24t + 5

p(t) = -64t^2 + 24t + 5

<u>Asked:</u>

p_{max} = ?

<u>Solution:</u>

<em>At the maximum height , velocity is 0 m/s:</em>

v = \frac{dp(t)}{dt}

v = \frac{d}{dt} ( -64t^2 + 24t + 5 )

v = (-64)(2)t^{2-1} + 24

v = -128t + 24

0 = -128t + 24

128t = 24

t = 24 \div 128

t = 3 \div 16

t = 0.1875 \texttt{ s}

\texttt{ }

p(t) = -64t^2 + 24t + 5

p(0.1875) = -64(0.1875)^2 + 24(0.1875) + 5

p(0.1875) = 7.25 \texttt{ m}

\texttt{ }

<h3>Learn more</h3>
  • Solving Quadratic Equations by Factoring : brainly.com/question/12182022
  • Determine the Discriminant : brainly.com/question/4600943
  • Formula of Quadratic Equations : brainly.com/question/3776858

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

\texttt{ }

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

3 0
3 years ago
Read 2 more answers
Which of these represents one of the factors of the function r(x) = x² – 5x+6?
zavuch27 [327]

Answer:

B. (x-3)

Step-by-step explanation:

Factorise the equation with suitable values.

In order to get 6 from x²-5x+6,

as an example, use the numbers 3 and 2.

We will get to factorise it to become (x-3)(x-2)

Based on the choice answers given, the answer is B. (x-3)

4 0
3 years ago
Square root -100=___+___i
loris [4]

Answer:

10i

Step-by-step explanation:

it is square root of 100, which is 10, times i, which is square root of -1

PLZ BRAINLIEST

7 0
2 years ago
Why do whole numbers raised to an exponent get bigger while fractions raised to an exponent get smaller
Brilliant_brown [7]

Answer:

when you multiply a whole number by itself it will obviously get bigger.

4 to the 2nd power equals 16 because 4x4 = 16

if you were to multiply a smaller number though, it wouldn't get as big.

Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.

ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.

Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.

1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.

Step-by-step explanation:

5 0
3 years ago
The radio of boys to girls in Miss ronilo's math class is 3 to 1 what percent of the classes is girls
9966 [12]

Imagine that the class only had 4 students (unrealistic most likely, but small numbers help much better I think)

If we had 4 students and 3 were boys, then 4-3 = 1 girl is in the class. This makes the ratio of boys to girls be 3 to 1. In other words, there are 3 times as many boys compared to girls.

Divide the number of girls (1) over the number of students total (4) to get 1/4 = 0.25 = 25%

<h3>Answer: 25%</h3>
5 0
3 years ago
Read 2 more answers
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