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777dan777 [17]
3 years ago
11

Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.

Mathematics
1 answer:
Scilla [17]3 years ago
5 0
The graph of the region is attached.  The coordinates of the centroid are (5/3, 1).

The coordinates of the centroid are found by averaging the coordinates of the region;

Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3
O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1

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A ball rolled from Point A to Point B in 18 second at a speed of 14 m/s. IT took another 18 seconds to roll form Pint B to Pint
vaieri [72.5K]

Answer:

d=252m, u dint put the speed it was rolling at from point B to C so I could only solve for A to B. However if you use the formula below you can find the distance from B to C and add that to A to B giving the total distance rolled.

Step-by-step explanation:

d=vt

v=14m/s

t=18s

d= vt, (14m/s)(18s)

d=252m

8 0
3 years ago
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An ostrich run 6 mile in12 minut how far he could come in 40 minutes
bogdanovich [222]

The ostrich can run 20 miles in 40 minutes.

<u>Solution:</u>

Given that, An ostrich run 6 mile in 12 minutes

We have to find how far he could come in 40 minutes

Now, according to the given information  

Ostrich runs 6 miles ⇒ 12 minutes

Then, “n” miles ⇒ 40 minutes

Now, by criss cross multiplication we get,

\begin{array}{l}{\rightarrow 6 \times 40=n \times 12} \\\\ {\rightarrow 40=n \times 2} \\\\ {\rightarrow n=20}\end{array}

Hence, the ostrich can run 20 miles in 40 minutes

8 0
3 years ago
______<br> What is 0.142857 as a fraction
Nitella [24]
Start by going in the order of decimals and what ever you end at, put this number on top
142857/<span>100000
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</span>142857/<span>100000</span>

3 0
3 years ago
Lydia sells intricately shaped holiday soaps for $9 each. After each holiday, she marks the related soap down to $6.75. What per
mote1985 [20]

Need to find the amount of the discount first

(9 - 6.75)  = 2.25$

then find the %                                                            

(2.25/9) * 100 = 225/9 = 25%

             

7 0
3 years ago
Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she
liubo4ka [24]

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

So, after mixing, the total amount of mixture is

6.83 lb + 3.57 lb = 10.40 lb.

After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.

The weight of one bag =\frac {10.05}{6} lb

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As all the bags are of the same size, so the weight of all the bags are same,

Hence, the weight of each bag is 1.675 lb.

8 0
3 years ago
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