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timofeeve [1]
3 years ago
5

A weather reporter in your area said that the speed of sound in air today is about one thousand one hundred feet per second. Wha

t is that speed in scientific notation?
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

The speed in scientific notation is (1.1)(10^{3}) feet per second.

Step-by-step explanation:

1. You have the following speed: One thousand one houndred feet per second.

2. You must convert from words to number. This is:

1,100 feet per second

3. To express this quantity in scientific notation, you can move the decimal point three places to the left, and write it as: 1.1 by 10^{3} (or 1,000) as following:

1,100=(1.1)(10^{3})


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A trader bought m apples for $12.
Aleks [24]

Answer:

a) total cost of m apples= $12 = 1200 cents

($1= 100cents, so $12= 12×100 cents)

cost of each apple= 1200/m

b) Number of apples sold= m-3

selling price of each apple= (1200/m) +2

Total sum received from sales:

(\frac{1200}{m}  + 2)(m - 3) \\  =  \frac{1200}{m} (m) - 3( \frac{1200}{m}) + 2m   -  3(2)  \\  = 1200 -  \frac{3600}{m}  + 2m - 6 \\  = (2m + 1194 -  \frac{3600}{m} ) \: cents

c) profit= amount received- amount spent on buying apples

96= 2m +1194 -3600/m -1200

2m -6 -96 -3600/m =0 (simplify, bring 96 over)

2m- 102 -3600/m =0

2m^2 -102m -3600 =0 (multiply by m on both sides)

m^2 -51m -1800 =0 (divide by 2 on both sides)

(shown)

d) m^2 -51m -1800=0

x =   \frac{ -b± \sqrt{{b}^{2} - 4ac }   }{2a}

Hence, using the above formula,

m =  \frac{ - ( -51)± \sqrt{( - 51) {}^{2} - 4(1)( - 1800) } }{2(1) }  \\ m =  \frac{51± \sqrt{9801} }{2}  \\ m = 75 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: m =  - 24

e) Thus, selling price of each apple

= 1200/75 +2

= 18 cents

This is found by substituting the value of m, which is 75, into the equation of the selling price of each apple which we found earlier in part b.

note: do not reject m= -24 in part d because you are simply solving the equation not finding out the number of apples the trader bought, m.

We ignore m= -24 in part e as it is not possible for the number of apples bought be a negative number

6 0
3 years ago
Match each trig function to a ratio. cos (A) =
soldi70 [24.7K]

Answer:

Cos A = x/z

Step-by-step explanation:

You need to memorize the definitions of all the trig functions and then these types of problems become easy!   OK?

Cos = adjacent side/hypotenuse

Cos A = x/z

7 0
3 years ago
Convert 18.2 yards/min to ft/sec
zimovet [89]

Answer; 0.91 feet per second

Step-by-step explanation:

5 0
3 years ago
What is “- 7(x+8)” ?
dsp73

Answer:

-7x-56

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
(I WILL GIVE YOU BRAINLIEST AND ANSWER ALL YOU CAN IDC) a market researcher tracks the number of people who visits a company's w
lawyer [7]

Part A: The exponential function is the best model for the given data. The data shows that every month the number of visitor approximately doubles from previous month. In other words the number is some base value (2, in this case) with the number of month (t) being in the exponent. This the a key characteristic of an exponential growth.  

Part B: (also explained above). Every month the number of visitors approximately doubles. Starting with 5.74 at month 8, the numbers goes up by about the same amount to 12.0 at month 9. At month 10, a similar increase occurs (doubling would be 24, and the data shows 25, so this is all "aproximate"). This trend continues throughout the table.

Part C:

Month 7 will be estimated as half of month 8 (going backward):

Month 7: 5.74/2=2.87

Estimate for month 7 = 2.87 thousand visitors.

5 0
2 years ago
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