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otez555 [7]
3 years ago
15

Question 2 of 4

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

Answer:

The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

Step-by-step explanation:

The function for the height of the bottle rocket (in feet), <em>t</em> seconds after  it is launched is:

h(t)=1157-16\ t

Compute the value of <em>t</em> as follows:

h(t)=1157-16\ t

200=1157-16t

 16t=1157-200\\16t=957\\

     t=59.8125\\t\approx60

Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

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The Lions did not score fewer points than the Bears. The Lions scored fewer points than the Tigers but more points than the Dolp
vivado [14]
The answer is the Dolphins
5 0
3 years ago
A bank wishes to invest a $100, 000 trust fund in three sources: bonds paying 8%; certificates of deposit paying 7%; and first m
Nuetrik [128]

Answer:

It is not possible to make the investment under the given conditions.

Step-by-step explanation:

Let x, y and z be the amounts invested in bonds, certificates of deposit and mortgages respectively.

<u>1st equation </u>

<em>“A bank wishes to invest a $100, 000 trust fund in three sources” </em>

x + y + z = 100,000

<u>2nd equation </u>

<em>“The bank wishes to realize an $8, 000, annual income from the investment and bonds paying 8%; certificates of deposit paying 7%; and first mortgages paying 10%” </em>

<em> </em>

0.8x + 0.7y + 0.1z = 8,000

3rd equation

<em>“the total amount invested in bonds and certificates of deposit must be triple the amount invested in mortgages” </em>

<em> </em>

x+y = 3z

and we have a <em>linear system of 3 equations with 3 unknowns </em>

    x +      y +      z = 100,000

0.8x + 0.7y + 0.1z = 8,000

    x +      y      -3z = 0

This system has a unique solution given by

x = -470,000  

y = 545,000

z = 25,000

Since x is negative, we deduct there is no way to do such an investment.

7 0
4 years ago
(6+√-64)(3-√-16) Multiply. This is urgent, please explain this to me!
romanna [79]

Answer:

50

Step-by-step explanation:

\sqrt{-64} and \sqrt{-16} can be expressed in complex form, with \sqrt{-1} = i

\sqrt{-64} = \sqrt{64(-1)} = \sqrt{64} × \sqrt{-1} = 8i

\sqrt{-16} = \sqrt{16(-1)} = \sqrt{16} × \sqrt{-1} = 4i

the factors can then be expressed as

(6 + 8i)(3 - 4i) ← expand using FOIL

= 18 - 24i + 24i - 32i² [ i² = (\sqrt{-1} )² = - 1 ]

= 18 - 24i + 24i + 32 ← collect like terms

= 18 + 32 + 0

= 50

6 0
2 years ago
When the whole is the same, why does it take 4 copies of 1 tenth to equal 2 copies of 1 fifth?
vaieri [72.5K]
Because you can split the same whole into different parts. You can split a cake into 10 peices and eat 4 peices of the cake. That would be eating 4/10 of a cake. That would equal eating the same amount of cake if you split the cake into 5 peices and ate 2 of them.
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4 years ago
Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1). An algebra tile configuration. 4 tiles are
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Answer:

Step-by-step explanation:

c

8 0
4 years ago
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