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erma4kov [3.2K]
3 years ago
8

What is the maximum height attained by the ball?

Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0

Answer: y=25

Step-by-step explanation:

The keyword in the question is "maximum", this tells you that you are looking for the vertex,(turning point of the graph, the highest point of the of the parabola). Since they are asking for the maximum height, and "t" represents seconds, you must find the "y" value.

Standard quadratic form is:

ax^2+bx+c

Use the vertex formula:

x=-b/2a

to find the "x" value of the vertex, then plug that value into the original equation as a substitute for "x".

Given y= 40t-16t^2

a=16, b=40

x=-40/2(-16)

x= 5/4 (or 1.25)

So,

y= 40(1.25) - 16(1.25)^2

y = 25

EleoNora [17]3 years ago
8 0

Answer:

36 ft

Step-by-step explanation:

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A roulette wheel has 38 pockets numbered 0,00,and 1 to 36. Of all 38 pockets 18 are red, 18 are black and 2 are green. Each time
Fiesta28 [93]

Answer:

P(R) = (18/38)

P(G) = (2/38)

P(B) = (18/38)

Step-by-step explanation:

Each spin is independent of the others, so the probabilities of the three possible outcomes (R,G,B) for each spin are:

P(R) = (18/38)

P(G) = (2/38)

P(B) = (18/38)

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3 years ago
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The graph of f(x) = 13* - 6 is shown below.g(x) is a transformation of f(x).
sergejj [24]

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Step-by-step explanation:

8 0
3 years ago
If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
snow_tiger [21]

The Probability that the total showing is either even or less than five = 5/6

<h3>What is Probability?</h3>

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

<h3>According to the given data:</h3>

The example space for rolling two dice is:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

36 events total.

Events that have a sum that is even or less than Five .

Total instances when the aggregate is even or less than Five equals 30.

P(sum is even or less than 5)

= (Total no of favorable event)/(Total no of event)

= 30/36

=5/6

probability that the total showing is either even or less than five = 5/6

To know more about probability visit :

brainly.com/question/13066369

#SPJ4

6 0
1 year ago
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = &lt;6, -2&gt;, v = &lt;8, 24&gt;
ratelena [41]
We'll check if they're orthogonal:
u*v=0
(6,-2)*(8,24)=0
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48-48=0
0=0
they are orthogonal vectors
4 0
3 years ago
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