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jonny [76]
3 years ago
9

A ball is thrown from a height of 110 feet with an initial downward velocity of 6/fts. The ball's height h (in feet) after t sec

onds is given by the following:
h=110-6t-16t^2
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0
Rearrange equation.h=-16t^2-6t+110 h = 0 at the ground. divide both sides of the equation by (-2) to yield: 0 = 8t^2+3t - 55 and use quadratic equation h=<span>-b±√(b2 - 4ac)</span>                                                    2awhere a = 8, b= 3, c=-55 Substitute:  [-3 ± √(9 - 4*8*(-55))] / (16) = [6 ± √(36 + 1760)] / (16) = [6 ± √(1796)] /16 = (6 ± 42.3792)/16.  Time can only be positive for this problem...so discard negative answer. = 48.3792/16 = 3.02 seconds
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Proving parallel lines with alternate exterior angles. given: &lt;1 = &lt;2 prove: p || q
horrorfan [7]

Answer:

1. <1 = <2  -   given

2. <1 and <3 are vertical <s  -   def of vertical <s

3. <1 = <3  -     vertical angles theorem

4. <3 = <2   - transitive property

5. p II  q      - converse of corresponding angles theorem

Step-by-step explanation:

edg 2020

7 0
3 years ago
Write the equation of the function f(x) = a·b^x when f(1) = 12 and f(3) = 27.
zloy xaker [14]

Answer:

8*(3/2)^x =f(x)

7 0
3 years ago
A gallon of gas costs $4.34.Greg puts 12 gallons of gas in his car,He has a 50-dollar bill.Tell how much Greg will have left,or
Lerok [7]

Greg will need $2.08 more money to buy 12 gallons of gas.

<h3>Further explanation</h3>

A gallon of gas costs $4.34

Greg puts 12 gallon of gas

Greg has $50

First, we are going to calculate how much money does Greg needs for 12 gallon of gas:

= 12 gallon of gas x cost/gallon

= 12 x 4.34

= 52.08

To multiply the decimal it's just the same way as the whole number multiplication, except for the placement of the decimal point in the answer. For the example

4.34      ⇒ 2 decimal place

<u>     12 x</u>   ⇒ 0 decimal place

 868

<u>434  +</u>

52.08   ⇒ 2 decimal place

By doing the same process as the whole number multiplication we got the answer is 52.08, but don't forget to add the decimal point/decimal place. The first factor has 2 decimal place, the second factor has 0 decimal place, so the answer will have two decimal place (2+0 = 2), by adding the decimal place.

The next step , 12 gallon of gas cost $52.08, if he has $50 so it cost more than the money he has, We are going to do a subtraction:

$52.08

<u>$50.00 </u>-   ⇒ <em>we put zero so we can the borrowing (regrouping)</em>

$  2.08

To subtract a decimal number, we need to line up the decimal point, add trailing zero as a placeholder and then do the subtraction

<h3>Learn more</h3>

Total spend brainly.com/question/12203917

Decimal multiplication brainly.com/question/2124592

Decimal multiplication brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, subtraction decimal, regrouping

3 0
3 years ago
Read 2 more answers
Mike put 304 baseballs into 8 trash bins. He put the same number of baseballs in each bin. He took 5 trash bins of baseballs to
Solnce55 [7]

Answer:

190 Baseballs

Step-by-step explanation:

Since he put 304 baseballs into 8 trash cans with an equal amt. in each,

--> we do 304/8 to find how much baseballs we put in each

=> 304/8 = 38

Now, we takes 5 of these 38 trash cans filled with balls to the field

--> we would do <em>5 x 38 => 5 x 38 = 190</em>

and Thus, we have our answer of <u>190 baseballs</u>

Hope this helps!

3 0
2 years ago
210 students were asked whether they want to go to a water park or a roller skating rink for a class party.
inessss [21]
55 boys want to go skating. For the template it is across it is 60,55, 115 for boys. For girls it’s 50,45,95. And for total it’s 110,100, 210
8 0
2 years ago
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