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Ksivusya [100]
3 years ago
7

Assume f(x) = ax^2+ bx + c Which one is true? f is a parabola that opens sideways to the right. f is a parabola that opens sidew

ays to the left. f is a parabola that opens downward. f is a parabola that opens upward.​
Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Step-by-step explanation:

f is a parabola that opens upward.

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a) find center of mass of a solid of constant density bounded below by the paraboloid z=x^2+y^2 and above by the plane z=4.(b) F
slava [35]

Answer: x-bar = y-bar = 0 whereas z-bar = 8/3

               M= (c^2)/8 which is intern equal to 2\sqrt{2}

Step-by-step explanation:

           Find the area, by setting the limits as

               = 4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta

                =4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta

                =4\cdot \int _0^{\frac{\pi }{2}}4d\theta

                 =8\pi

Therefore;

Mxy=  \int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta

       z-bar = 8/3

M= 8\pi dividing it into two volume gives us = 4\pi

means  4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta

             4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)

              c=2\sqrt{2}

       

                 

                 

5 0
3 years ago
In his garden Tim plants the seed
NemiM [27]

Answer:

2 1/2 in.

Step-by-step explanation:

6 - 3 1/2 this is the answers

3 0
3 years ago
Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups
natulia [17]

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

<u>  find the amount of lemonade that's left expressed in cups</u>

5 glasses * 2 cups = 10 cups  

16 cups - 10 cups = 6 cups.  

There are 6 cups of lemonade left.  

Step 2

<u>  find the amount of lemonade that's left expressed in  quarts:  </u>

4 cups = 1 quart.  

(6 cups divided by 4 cups will equal the quarts.)  

6/4=1.5

6 cups = 1.5 quarts.  

There are 1.5 quarts of lemonade left.  

Step 3

<u>  find the amount of lemonade that's left expressed in gallons  </u>

4 quarts = 1 gallon.  

(1.5 quarts divided by 4 quarts will equal the gallon)  

1.5/4=0.375

1.5 quarts = 0.375 gallon.  

There is 0.375 gallon left of lemonade.

6 0
3 years ago
What is the total after a 10% discount of 346.10
AVprozaik [17]
It is 311.49. You would multiply 0.10 and 349.10, which is 34.61. Then subtract 34.61 from 349.10, which is 311.49. So, after a 10% discount of 346.10, the answer would be 311.49
5 0
3 years ago
System of equations needs to be answered in substitution I’ll give five stars
attashe74 [19]
The answer is (-3,-6)
3 0
2 years ago
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