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siniylev [52]
2 years ago
12

Sound travels about 340 m/s. The function d(t)= 340t gives the distance d(t), in meters, that sound travels in t seconds. How fa

r does sound travel in 36 s?
Mathematics
1 answer:
DENIUS [597]2 years ago
7 0

Answer:

The distance traveled in 36s is 12440 m

Step-by-step explanation:

Given;

speed of sound, v = 340 m/s

distance traveled by the sound, d(t) = 340t

time of travel, t = 36 s

Distance is given as;

distance = speed x time

d(t) = 340t

d(36) = 340(36)

d = 12440 m

Therefore, the distance traveled in 36s is 12440 m

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Factorise 9w² - 100<br><br><br>​
ohaa [14]

Answer:

9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10).

Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
  • On the other hand, 10^{2} = 100.

Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

8 0
2 years ago
And animals weight change from 12 pounds to 16 pounds what was the percent increase to the nearest whole number
amm1812
That's a 33% increase.

I calculated this using the formula:

\frac{|n-o|}{o} * 100

Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase.  You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.  

Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.


5 0
3 years ago
PLEASE HELP!! I beg of yall
Delicious77 [7]

Answer:oop

Step-by-step explanation:

5 0
2 years ago
Using the picture below, which angle is alternate interior to angle 5?
oee [108]

Answer:

angle 4

Step-by-step explanation:

Angle 4 is the opposite of angle 5, if you flip the paper upside down, you'll see that it is the same

7 0
2 years ago
Read 2 more answers
Write the numbers in the blanks that make this equation true.<br><br> ( 2 + 1 ) + 3 = 2 + ( _ + _ )
Marta_Voda [28]
(2+1)+3=2+(2+2)

Any two numbers that add to 4.
7 0
1 year ago
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