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Verdich [7]
3 years ago
10

Simplify:

xFormula1" title=" \sqrt{ - 9} \times \sqrt{ - 16} " alt=" \sqrt{ - 9} \times \sqrt{ - 16} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
Answer:
-12

Explanation:
Because negative numbers are impossible to simplify, we must use imaginary numbers. i=root -1. So, for example to simplify root -9, separate this into root 9 times root -1 which becomes root 9 times i, simplifying to 3i. Repeat this for root -16 to have 3i times 4i. Multiply and get 12i^2. Then, simplify to 12 times -1 because i^2 is root -1 times root -1 making -1. Finally, the answer is -12.
I apologize for this sloppy explanation as I am currently short on time. If you have any questions feel free to ask in the comments and I will try to answer them later!
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A popular beach erodes 4 inches per year on average.
Arisa [49]

Answer:

3 years

Step-by-step explanation:

4 inches per year on average

1 foot = 12 inches

12 divided by 4 equals 3

therefore it is 3 years

3 0
3 years ago
In 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increa
sammy [17]

9514 1404 393

Answer:

  1a. E = 5×1.59^t

  1b. 32 GWh

  1c. 1986

Step-by-step explanation:

1a. An exponential model looks like

  f(t) = a·b^t

where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.

Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...

  E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.

__

1b. For t=4, we have ...

  E = 5·1.59^4 ≈ 31.96 ≈ 32

About 32 GWh was generated in 1984.

__

1c. The value of t for a given value of E is ...

  E/5 = 1.59^t . . . . divide by 5

  log(E/5) = t·log(1.59) . . . . take logarithms

  t = log(E/5)/log(1.59) . . . . divide by the coefficient of t

For E = 80, the years after 1980 are ...

  t = log(80/5)/log(1.59) ≈ 5.98

About 80 GWh were generated in 1986.

4 0
3 years ago
A punch recipe that serves 24 people calls for 4 Liters of lemon lime soda 2 pints of sherbet and 6 cups of ice how much of each
NARA [144]
If we take the amount of people we want to serve and put it over the amount the recipe serves we get this
\frac{18}{24}  =  \frac{3}{4}
We then multiply this times the portion of ingredients the original recipe calls for and get our amount needed to serve only 18 people
lemon \: lime \: soda \:  \\  \frac{3}{4} \times 4 \: liters \:  =  \frac{12}{4}   \: liters = 3 \: liters
sherbet \\  \frac{3}{4}  \times 2 \: pints \:  =  \frac{6}{4} \: pints  =  \frac{3}{2}  \: pints
ice \\  \frac{3}{4}  \times 6 \: cups =  \frac{18}{4}  \: cups  =  \frac{9}{2}  \: cups
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