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Svetlanka [38]
2 years ago
6

Which of the following statements is no True?

Mathematics
1 answer:
bezimeni [28]2 years ago
4 0

Answer:

correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11

Step-by-step explanation:

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
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HELP?!?
spin [16.1K]

Step-by-step explanation:

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2 years ago
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The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an a
satela [25.4K]

Answer:

7 feet is the length of the blade of the windmill.

Step-by-step explanation:

We have the equation

h = 7 sin(pi/21t) + 28 ------ eq1

At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)

So, by calculating the maximum height of this end at  Ф = 90°. we can calculate the length of the blade.

Now, we know that a general model equation of a circular simple harmonic motion is represented as :     y = A sinωt + k ----- eq2

Where A is the amplitude that is, maximum displacement from mean to maximum position.

ω is the angular frequency.

Comparing eq1 and eq2:

A = 7

so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.

Hence, the length of the blade is 7 feet.

4 0
3 years ago
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a country's population in 1991 was 48 million in 2002 it was 51 million estimate the population in 2008 using the expotential gr
Dvinal [7]
<span>one approach first write the formula substitute what you are given to find the rate you have the initial amount and the amount after a specified time do you see that it changed by (51 -48) millions in a period of (1997-1990) years using this rate with the new time (2017-1997) years and the new initial amount 51 million plug into the formula to find the new amount. Round your answer to the nearest million. the amount is calculated in millions. use the nearest whole number.</span>
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3 years ago
Consider this three digit sequence 943. Is the first digit the largest or the second digit the smallest, and, is the third digit
maw [93]
Well, 9 is the largest, but 4 is the smallest and 3 is the second odd number. So it would go yes, no, no or if it's just one question, it would be no.
3 0
3 years ago
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