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astraxan [27]
2 years ago
10

67 of the 645 parcels are damaged on the journey.

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
5 0
67 / 645 x 100% = 10.39% (4sf)
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The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height
garik1379 [7]

9514 1404 393

Answer:

  6.2 ft

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

  3000 ft³ = π(2h)²h

  (3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

  h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.

3 0
3 years ago
A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
stepladder [879]

Answer:  1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀          where

  • a is the acceleration (in this case it is gravity)
  • v₀ is the initial velocity
  • h₀ is the initial height

Given:  

  • a = -9.81 (if it wasn't given in your textbook, you can look it up)
  • v₀ = 12
  • h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION:   0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

                        a=-9.81, b=12, c=3

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\

Note: Negative time (-0.2) is not valid

4 0
3 years ago
Be sure to show your work and solve for g:<br> g<br> +<br> 6<br> −<br> 3<br> =<br> 31
Iteru [2.4K]

28 + 6 = 34 and 34 - 3 = 31!!!!!!!

4 0
3 years ago
Select the correct inequality for the graph below:
Lesechka [4]
 the answer is D. y≤ -2x + 2

take x=2
then (-2 x 2) + 2
⇒ -4 + 2 = -2
4 0
3 years ago
Read 2 more answers
Show that f(x)=πx-2 and f-1(x)=(x+2/π) are inverse functions of one another
iVinArrow [24]
They are not inverse functions of one another. For f(x) and g(x) to be inverses of each other, f(g(x)) = x. In this case, pi(x+2/pi)-2 = pi* x, which is not x.
5 0
3 years ago
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