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yawa3891 [41]
2 years ago
6

Which of the following is the value of a when the function f(x) = 3xl is written in the standard form of an absolute value

Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

  D.  3

Step-by-step explanation:

For g(x) = |x|, we seem to have ...

  f(x) = 3|x| = 3g(x) = a·g(x)

The value of 'a' is 3.

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A number y is rounded to 2 decimal places
Yakvenalex [24]
Y can be rounded up to 1.51 from a minimum value of 1.505
This is the lower bound.

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this is the upper bound.

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This is shown as 1.595<=y<1.515

<= is the typed out version of (greater than/equal to) which is < with a line under it.
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Zigmanuir [339]
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3 years ago
Which of the following is a true polynomial identity​
zhuklara [117]

Answer:

It's a.

Step-by-step explanation:

(a - 2b)^2 + 8ab

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= a^2 + 4ab + 4b^2.

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6 0
3 years ago
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What is the volume of this cone?
olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius.  That gives us  1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length.  We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length.  You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

a^2 = b^2 + c^2

So we can find the height of the cone with that:

10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx  7.9

Now that we have the cone's height, we can solve for its volume:

v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2  \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3

5 0
3 years ago
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A bottle holds 5/12 gallon of water. How many bottles can be filled with 2 1/4<br> gallons of water?
tekilochka [14]

Answer: 0.185 gallons

Step-by-step explanation:

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First convert the improper fraction to a proper fraction, 2 1/4 = 9/4

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= 5/27 = 0.185

6 0
3 years ago
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