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Ostrovityanka [42]

3 years ago

5

Sean drank 2 liters of water today which was 280 milliliters more than he drank yesterday. How much water did he drink yesterday

?

1 answer:

BigorU [14]3 years ago

7 0

2000mL - 280mL = 1720mL or 1.72L

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The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

so

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

3 years ago

Factor the following polynomial by grouping it in pairs.<br><br>4xy + 6 - x - 24

yKpoI14uk [10]

Combine Like Terms:

=4xy+6+−x+−24

=(4xy)+(−x)+(6+−24)

=4xy+−x+−18

Answer:

=4xy−x−18

3 0

3 years ago

Someone please help, i don't understand

Mars2501 [29]

Y=-2x+0 haahahaha hope i helped i think

4 0

3 years ago

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The school district has 294 basketball players to distribute to 36 different teams in the intramural basketball league. If the b

mojhsa [17]

Each team will recieve 8 players

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3 years ago

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Find the value of x in the triangle listed here. If you could show me the steps, I would appreciate it.

-Dominant- [34]

Answer:

71°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Isosceles triangles have two equal sides and two equal angles. When all 3 angles are added, it should have a sum of 180°. The tip of the triangle is the part of the triangle with the smallest degree/angle. So the two remaining angles are the same amount.

180°=38°+x+?

180°=38°+71°+71°

Both missing angles are the same degree, and when both are added to 38, it has a sum of 180. x is equal to 71°.

7 0

2 years ago

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