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viktelen [127]
3 years ago
14

A flare is launched from a life raft with an initial upward velocity of 192 feet per second. How many seconds will it take for t

he flare to return to the sea? Use the formula
h = 192 - {16t}^{2}
, where (h) is the height of the flare in feet and (t) is the time in seconds.
Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0
So you want height to be 0 so you plug zero into the height and solve from there. You subtract 192 from both sides to get -192=-16tsquared. Then you would divide by -16 and end up with 12 = t^2. Then you find the square root of 12 and get t = 3.464 seconds.
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Mr. Sanchez’s class sold fruit pies for $1.32 each and Mr. Kelly’s class sold bottles of fruit juice for $1.77 each. Together, t
aleksklad [387]

Answer:

Part a)

The quantity of fruit pies sold was 42

The quantity of juice bottles sold was 48

Part b) Mr. Kelly’s class earned more money

part c) \$29.52

Step-by-step explanation:

Part a)

Let

x-----> quantity of fruit pies sold

y----> quantity of juice bottles sold

we know that

x+y=90

x=90-y -----> equation A

1.32x+1.77y=140.40 ----> equation B

substitute equation A in equation B

1.32(90-y)+1.77y=140.40

118.8-1.32y+1.77y=140.40

0.45y=140.40-118.8

0.45y=21.6

y=48 bottles of fruit juice

Find the value of x

x=90-y ------> x=90-48=42 fruit pies

Part b) Which class earned more money?

Mr. Sanchez’s class

\$1.32x=1.32*42=\$55.44

Mr. Kelly’s class

\$1.77y=1.77*48=\$84.96

therefore

Mr. Kelly’s class earned more money

Part c) How much more money did that class earn?

Find the difference

\$84.96-\$55.44=\$29.52

6 0
3 years ago
consider the word unusual. how many unique subsets of 5 letters (of the 7) exist? how many different strings could be made from
lesantik [10]

The total number of unique subset of 5 letter words possible are 840 and the total number of different strings that could be made 5040.

The word 'unusual' contains a total of 7 letters.

A subset of 5 letters from the seven letters of the word unusual can be found out by making the combinations of all the five letter words possible from the seven letters.

As we can see that there are total of 7 letters among which u is repeated three times. Number of the possible combinations for the subset of 5 letter word are,

= 7×6×5×4

= 840.

So, there are 840 subset possible.

The total number of Strings that are possible is,

= 7×6×5×4×3×2×1

= 5040.

So, the total number of Strings possible are 5040.

To know more about combinations, visit,

brainly.com/question/28065038

#SPJ4

8 0
1 year ago
Berta, Maya, and Zach are in different checkout lanes at a store. Berta has 3 more people in front of her than are in front of M
erica [24]
Maya=2
Berta=5
Zach=4
Total=11
4 0
3 years ago
9. A triangle is dilated using a scale factor of 4. The image is then dilated
dimulka [17.4K]

Answer:

4-3=1

Step-by-step explanation:

it was dilated by 1

dunno what this was really  askin tho

8 0
2 years ago
Theresa Morgan a chemist has a 10% hydrochloric acid solution and a 65% hydrochloric acid solution. How many liters of each shou
prisoha [69]

<u>ANSWER: </u>

170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.

<u>SOLUTION: </u>

First, set up a table. Fill in the unknowns with variables x and y. The table is attached below

From this, we can easily set up the two equations.  

Sum of values of two acids = Value of mixture  

0.1x + 0.65y = 1122  

For convenience, we'll multiply the entire equation by 100,

10x + 65y = 112200   ------ (1)  

Now, Sum of amounts of each acid = Amount of mixture  

x + y = 1870  ---------(2)

multiply (2) with 10 for easy calculation and derive the equation into one variable.

10x + 10y = 18700  

Subtracting equation (2) from (1),  

( + ) 10x + 65y = 112200

( − ) 10x + 10y = 18700

we get the solution as,

0 + 55y = 93500

Thus, 55y = 93500

y = 1700

Substituting y = 1700 in (2),

x + 1700 = 1870  

x  = 1870 - 1700  

x  = 170  

So, we have x = 170 and y = 1700

We can conclude that 170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution  to obtain 1870 liters of 60% solution.

4 0
3 years ago
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