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allsm [11]
3 years ago
12

A football is punted so that its path is described by the function h(t) = -4.9(t - 3.5)2 + 15 where h(t) is the height of the fo

otball, in meters at time t, in seconds.
What time in seconds does it take for the football to reach its maximum height? Round your answer to the nearest tenth.
Mathematics
1 answer:
Mariana [72]3 years ago
6 0

Answer:

Step-by-step explanation:

You already have this set up to answer your question. This quadratic is in work form, aka vertex form, where the vertex is (3.5, 15). The first coordinate of the vertex is the time it takes to reach its max height, which is the second coordinate of the vertex. So it takes 3.5 seconds to reach a max height of 15 meters.

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Can you help with this?<br><br> Length x width x height
Gemiola [76]

Answer:

75/256 in³    <    64/125 in³

Step-by-step explanation:

First, find the volumes of the two 3-D figures:

For Figure 1:

Using the volume formula:

V = l × w × h

   = 6/8 × 5/8 × 5/8

   = (6/8 × 5/8) × 5/8

   = 30/64 × 5/8

V = 150/512

Simplify:

V = 75/256

So Figure 1's volume is 75/256 in³.

For Figure 2:

V = l × w × h

   = 4/5 × 4/5 × 4/5

   = (4/5 × 4/5) × 4/5

   = 16/25 × 4/5

   = 64/125

So Figure 2's volume is 64/125 in³.

Now, comparing the two volumes:

You can cross multiply the fractions to figure out which fraction is greater:

Figure 1                       Figure 2

<u> 75 </u>                =                <u> 64 </u>

256                                  125

75 (125)          =             256 (64)

9375               =             16384

So Figure 2 has the greater volume.

Your final result should be:

75/256 in³    <    64/125 in³

5 0
3 years ago
Read 2 more answers
Assist with this please​
nikitadnepr [17]

Answer:

iisbshdhdhhdhdhdhdhhdhdhhhdhhehehehhe

3 0
3 years ago
Read 2 more answers
Si un submarino esta a - 83 metros a nivel del mar, sube a -15 cuantos metros subio?<br> ​
WITCHER [35]

Answer:

<em>El submarino subió 68 metros</em>

Step-by-step explanation:

<em>Desplazamiento</em>

Si un cuerpo cambia de posición desde X1 hasta X2, su cambio de posición se calcula como:

X=X2-X1

En el caso de nuestro submarino, su posición original era a X1=-83 m, luego sube a la posición X2=-15 m, así que su cambio de posición o desplazamiento es:

X=-15-(-83)=-15+83=68 m

El submarino subió 68 metros

8 0
3 years ago
What is the solution to the equation g(x)=3
Murrr4er [49]

 

g(x) = 3

3 ≤ x < 5

See attached image.

3 0
3 years ago
6 = -5 -x solve for x
makkiz [27]

Answer:

<h2>x = -11</h2>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

<h3>Step 1: Add x</h3>

6 + x = -5

<h3>Step 2: Subtract 6</h3>

x = -11

<h3>Step 3: Check</h3>

6 = -5 - -11

6 = -5 + 11

6 = 6 ✔

<h3>Step 4: Answer</h3>

x = -11

I'm always happy to help :)

7 0
3 years ago
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