I need some help with these two questions

Answers

Answer 1

Answer:

1. 108.8 ft per second

Step-by-step explanation:

1. If a bowling ball is dropped out of an airplane, its speed after 3.4 seconds, assuming no air resistance, can be calculated using the equation v = 32t, where v is the velocity in feet per second and t is the time in seconds. Plugging in t = 3.4 seconds, we get:

v = 32 x 3.4

v = 108.8 feet per second

Therefore, the velocity of the bowling ball after 3.4 seconds, assuming no air resistance, is 108.8 feet per second.

Answer 2

Answer nice question.

Related Questions

Please elaborate
[tex]Simplify (2x-7)(x+3)-(-3x^{2} -4)[/tex]

Answers

Answer:

[tex]5x^2 - x - 17[/tex]

Step-by-step explanation:

Distribute the terms inside the first set of parentheses:

[tex](2x - 7)(x + 3) = 2x^2 + 6x - 7x - 21[/tex]

Combine like terms:

[tex]= 2x^2 - x - 21[/tex]

Simplify by adding the second part:

[tex]2x^2 - x - 21 - (-3x^2 - 4)[/tex]

Subtracting a negative is the same as adding the positive equivalent:

[tex]= 2x^2 - x - 21 + 3x^2 + 4[/tex]

Combine like terms:

[tex]= 5x^2 - x - 17[/tex]

(2x-7)(x+3)-(-3x^[2] - 4)

====

5x^[2] -x -17

To begin simplifying this expression, we will foil the first half of it:

(2x-7)(x+3)

2x*x + 2x*3 - 7*x - 7*3

2x^[2] + 6x - 7x - 21

With this, we combine like terms:

2x^[2]-x-21

We now have

2x^[2]-x-21-(-3x^[2]-4)

We can now do the binomial distribution in the second half of the expression. Remember, the - sign in front of the parentheses means we are negating everything inside. In other words, we are multiplying -1 by everything inside the parentheses. Following this:

-(-3x^[2]-4) becomes

-1*-3x^[2] + -1*-4 = 3x^[2]+4

We have now simplified the first and second half of our expression, so we have:

2x^[2]-x-21+3x^[2]+4

And combining like terms we get

2x^[2]+3x^[2]-x-21+4 =

5x^[2] -x -17

We can use the quadratic expression to determine if the trinomial can be factored evenly, but it cannot so we have our final simplifed expression!

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