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3 years ago

6

one hose can fill a goldfish pond in 14 minutes, and the two hoses can fill the same pond in 10 minutes, find how long it takes

the second hose to fill the pond alone

1 answer:

likoan [24]3 years ago

4 0

Answer:

35

Step-by-step explanation:

$\frac{1}{14} +\frac{1}{t} =\frac{1}{10}$

Solving this ^^ would equal t=35.

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Step-by-step explanation:

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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

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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>

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

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

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

$v = -128t + 24$

$0 = -128t + 24$

$128t = 24$

$t = 24 \div 128$

$t = 3 \div 16$

$t = 0.1875 \texttt{ s}$

$\texttt{ }$

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

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

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

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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

$\texttt{ }$

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

$\texttt{ }$

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

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3 years ago

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9/11 = c/55<br><br><br> c=???<br> answwedbhksjbdew<br> \

Scorpion4ik [409]

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

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Diet cola was on sale last week; it cost $10 for every 4 packs of cola. How much do 2 packs of cola cost?

TiliK225 [7]

Answer:

2 pack of cola would cost $5.

Step-by-step explanation:

the reason for this being is that

4 packs of cola = $10

2 is half of 4

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2. Mourette is a member of her high school golf team. She hits a golf ball

Llana [10]

Answer:

a. h = 60t − 4.9t²

b. 12.2 seconds

c. 183.7 meters

Step-by-step explanation:

a. Given:

y₀ = 0 m

v₀ = 60 m/s

a = -9.8 m/s²

y = y₀ + v₀ t + ½ at²

h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²

h = 60t − 4.9t²

b. When the ball lands, h = 0.

0 = 60t − 4.9t²

0 = t (60 − 4.9t)

t = 0 or 12.2

The ball lands after 12.2 seconds.

c. The maximum height is at the vertex of the parabola.

t = -b / (2a)

t = -60 / (2 × -4.9)

t = 6.1 seconds

Alternatively, the maximum height is reached at half the time it takes to land.

t = 12.2 / 2

t = 6.1 seconds

After 6.1 seconds, the height reached is:

h = 60 (6.1) − 4.9 (6.1)²

h = 183.7 meters

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3 years ago