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LenKa [72]
3 years ago
15

15. A mosquito flaps its wings 800 vibrations per second. What is the frequency of the buzz?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Answer:

0.57 meters

Step-by-step explanation:

peed = wavelength x frequency

wavelength = speed/frequency

= (340 m/s)/(600 Hz)

= 0.57 meters

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Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).
musickatia [10]

\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0

5 0
4 years ago
Read 2 more answers
Solve for x, if a solution is extraneous identify in the final answer. thx :)
Fantom [35]

Answer:

x = 6 and x = 11.

Step-by-step explanation:

sqrt(x - 2) + 8 = x

sqrt(x - 2) = x - 8

(sqrt(x - 2))^2 = (x - 8)^2

x - 2 = x^2 - 16x + 64

x^2 - 16x + 64 = x - 2

x^2 - 17x + 66 = 0

We can use the discriminant to find whether there are solutions to the equation.

b^2 - 4ac; where a = 1, b = -17, and c = 66.

(-17)^2 - 4 * 1 * 66

= 289 - 264

= 25

Since the discriminant is positive, we know there are two valid solutions to the equation.

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

The solutions are when x - 6 = 0 and x - 11 = 0.

x - 6 = 0

x = 6

x - 11 = 0

x = 11

Hope this helps!

8 0
3 years ago
Read 2 more answers
What is the missing length?<br> 10.2 cm<br> a<br> area=51 cm2
AleksAgata [21]

Answer:

a = 10 cm

Step-by-step explanation:

Area of triangle, A = 51 cm²

base, b = 10.2 cm

Let height of triangle be a cm

<em><u>Formula:-</u></em>

A=\dfrac{1}{2}\times a\times b

51=\dfrac{1}{2}\times a\times 10.2

a=\dfrac{51\times 2}{10.2}

a=10

hence, the missing length is 10 cm

4 0
3 years ago
Last year, the school library had a total of x books. Over the summer, the library acquired another 46 books and now has a total
skelet666 [1.2K]

Answer:

1196-46=x

Step-by-step explanation:

this Is the equation if you need the answer comment

3 0
3 years ago
Read 2 more answers
A dinner bill of 13.37 had 6% added to that total. What was the amount of the tax
yanalaym [24]
All you need to do is multiply 13.37 by the 6% and then Again by 7%.

It would be 13.37 • 1.06 ( The One makes an Increasing Function) Which Equals 14.17. Now Multiply the 14.17 by 1.07 and you'd get 15.16.

If you are just looking for the 6% it would equal 14.17 - 13.37 = 0.80.

That makes the Tax .80 Cents
7 0
4 years ago
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