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3 years ago

Convert the fractions to decimals.

1 answer:

5 0

<span>3/20: 0.15
7/50: 0.14
9/25: 0.36
4/15: 0.266667
1/9: 0.111111
9/40: 0.225
5/16: 0.3125
7/9: 0.777778
13/20: 0.65
37/50: 0.74
11/30: 0.366667
19/40: </span>0.475

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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

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<h3>Further explanation</h3>

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

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

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

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

Let us now tackle the problem!

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<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>

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

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

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

$v = -128t + 24$

$0 = -128t + 24$

$128t = 24$

$t = 24 \div 128$

$t = 3 \div 16$

$t = 0.1875 \texttt{ s}$

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

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

$p(0.1875) = 7.25 \texttt{ m}$

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<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

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<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

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Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

3 0

3 years ago

Read 2 more answers

Which number is not equivalent to others? 0.5 1/5 5/25 20%

CaHeK987 [17]

Answer: .5

Step-by-step explanation:

1/5 = 20%

5/25=20%

.5= 50%

Hope this helps!

6 0

3 years ago

F is a polynomial of degree 6. f has a root of multiplicity

frutty [35]

Answer:

f(x) = 0.43 * $(x - 3)^{2}$ * $(x-1)^{3}$ *(x + 10)

Step-by-step explanation:

We have a 6th degree polynomial f(x)

r = 3 is a root of f with multiplicity 2

r = 1 is a root of f with multiplicity 3

f(-5) = -29721.6

f(-10) = 0

Then: f(x) = a*((x -3)^2 ) * ((x - 1)^3)*(x + 10)

f(-5) = a * (-8)^2 * (-6)^3 * (5) = -29,721.6

a* (64) * (-216)* 5 = -29,721.6

-a*69,120 = -29,721.6

a = -29,721.6/-69,120

a = 0.43

f(x) = 0.43 * $(x - 3)^{2}$ * $(x-1)^{3}$ *(x + 10)

4 0

3 years ago

Simplify this algebraic equation: 3y - 7(5x + 2y)

Taya2010 [7]

Answer: -11y - 35x

Step-by-step explanation:

This problem utilizes the Distributive Property of Multiplication. It states that: a(x + y) = ax + ay.

Thus, utilizing this property (distributing -7), change the equation into:

3y - 35x - 14y

Then, simply combine like terms to get:

-11y - 35x

Hope it helps :) and let me know if you want me to elaborate.

8 0

3 years ago

One month, a homeowner used 150 units of gas and 520 units of electric for a total cost of $84.20. The next month, 210 units of

Tom [10]

Answer:

gas = $0.23, electricity = $0.10

Step-by-step explanation:

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3 years ago