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Evgesh-ka [11]
3 years ago
12

What fraction is equivilent to 0.997

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:  997/1000

Step-by-step explanation: on removing the decimal the number of digits after decimal points comes in the numerator

hence 0.997=997/1000

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Find the area of this figure
barxatty [35]

Answer:

165

Step-by-step explanation:

Put the extra half rectangle in the empty space. It will end up being a perfect rectangle, then you did the area like you usually do..:

22 x 7.5.    

=165

Good luck, hope i helped

6 0
2 years ago
Read 2 more answers
How do you know if a graph you are looking at shows a periodic function? How do you determine the period of the graph?
mylen [45]

Answer:

A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).

You can also just say: A periodic function is one that repeats itself in regular intervals.

Step-by-step explanation:

The smallest value of T is called the period of the function.

Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.

For example, here's the graph of sin x.  [REFER TO PICTURE BELOW]

Sin x is a periodic function with period  2π  because  sin(x+2π)=sinx  

Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.

In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Hopefully this helped a bit.

6 0
3 years ago
A science teacher ordered $1848 worth of microscopes and dissection kits for the new science lab. A total of 30 microscopes and
andrezito [222]

Answer:

Microscopes cost $44 and Dissection Kits cost $11

Step-by-step explanation:

Using the information given, we can make the system of equations:

30x+48y=1848

x represents the price of microscopes and y represents the price of dissection kits.

We also know that microscopes will be 4x the price of dissection kits. Therefor:

x=4y

We can plug these two equations together to find the answer.

30(4y)+48y=1848

120y+48y=1848

168y=1848

y=11

Using the y-value, can find the x-value.

x=4(11)

x=44

4 0
3 years ago
The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound. Write an equatio
charle [14.2K]

Answer:The  equation relating I, r, and k is I =K/r²

Step-by-step explanation:

The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound can be written as

I ∝ 1/r²

Introducing the constant of proportionality, K we have that

I =K x 1/r²

Therefore , the  equation relating I, r, and k is I =K/r²

7 0
3 years ago
PLEASE ANSWER
oksano4ka [1.4K]

Answer:

x² + 9x + 8 = (x + 1)(x + 8)

x² + 9x + 8 = (x + 8)(x + 1)

Step-by-step explanation:

* Lets explain how to factorize the polynomial using the pattern

- The form of the quadratic polynomial is x² + px + q, where p is the

  coefficient of x and q is the numerical term

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

- From the formula above the coefficient of x is the sum of the two

 factors a and b

∴ p = a + b and q = ab

- That means p is the sum of two numbers and q is the product of

  the same numbers

* Lets solve the problem

∵ x² + 9x + 8 is a quadratic polynomial

∵ x² + px + q is the form of quadratic polynomial

∴ p = 9 and q = 8

∵ p = a + b and q = ab

∴ a + b = 9 ⇒ (1)

∴ ab = 8 ⇒ (2)

- We must to find two numbers their product is 8 and their sum is 9

∵ The possibility of 8 as a product of two numbers is:

   2 × 4 OR 1 × 8

∵ The sum of 1 + 8 = 9

∴ The value of a and b are 1 and 8

- It does't matter which of them = 1 or which of them = 8

∴ x² + (a + b)x + ab = x² + (1 + 8)x + (1)(9)

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

∴ x² + (1 + 8)x + (1)(9) = (x + 1)(x + 8)

∴ x² + 9x + 8 = (x + 1)(x + 8)

- OR

∴ x² + 9x + 8 = (x + 8)(x + 1)

3 0
3 years ago
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