Ming throws a stone off a bridge into a river below.

Mathematics

2 answers:

AURORKA [14]3 years ago

6 0

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

$h(x)=-5(x-1)^2+45$

Lets expand this in the form $ax^2+bx+c$ , so we have:

$h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40$

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

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

We know a and b, let's find the seconds, x,

$x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1$

Hence,

1 seconds after being thrown, the stone reach its max height

kifflom [539]3 years ago

3 0

Answer:

1 second

Step-by-step explanation:

You might be interested in

A stem-and-leaf plot for the number of homeruns hit by 30 high school teams is shown. find the probability that a team chosen at

pantera1 [17]

To answer this you need to read the stem and leaf lot and determine how many values were over 28., Or how many were less than or at 28 and subtract it from 30.

There are 10 teams at 28 or less, so 20 teams are above 28.

The number to the left of the | tells us the tens place of the set of number that come after it.

For example 2|4 7 8 stands for 24, 27, and 28.

If 20 out of 30 were above 28 homeruns, then your probability is 20/30 or 2/3 or 0.667.

4 0

3 years ago

What is 2.16 repeated as a decimal

Zarrin [17]

Ok, so what we want to do here is first remove the repeating decimal.

x=2.16 repeating
10x=21.6 repeating
100x=216.6 repeating

Subtract 10x=21.6 repeating from 100x=216.6 repeating. This will get rid of the repeating numbers.

100x=216.6 repeating
-10x=21.6 repeating
__________________
90x=195

Divide both sides by 90.

x=195/90

Now you can simplify that into 13/6.

5 0

3 years ago

A spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 49

Akimi4 [234]

If the stretch is proportional to the weight, it will satisfy
weight/(49 cm) = (135 N)/(21 cm)
weight = (49/21)×135 N
weight = 315 N

The weight of the fish would be 315 N.

8 0

3 years ago

The probability that an event will occur is fraction 25 over 25. Which of these best describes the likelihood of the event occur

Zielflug [23.3K]

Answer:

The probability would be certain. This is because $\frac{25}{25}$ simplifies to 1, which would be 100%. If something has a 100% chance of happening, there would be no way it would not occur.