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Minchanka [31]
4 years ago
10

A 500.-kg roller coaster car starts from rest at the top of a 60.0-meter hill. Find its potential energy when it is halfway to t

he bottom.
Mathematics
1 answer:
Maslowich4 years ago
3 0
U=m*g*h= 500*9.8*30m
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2. Claire drinks 64 fluid ounces of water o day. How many gallons of water does she drink in a week?​
Ymorist [56]

Answer:

3.5 gallons a week

Step-by-step explanation:

Well 64 gl Oz is basically half a gallon. So half a gallon of water a day would result in 0.5*7 (7 days in a week) and you would get 3.5 gallons.

4 0
3 years ago
How do ypu slove dis? <br>y^2(q-4) - c(q - 4)
Annette [7]
<span><span> y2(q-4)-c(q-4)</span> </span>Final result :<span> (q - 4) • (y2 - c) </span>

Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span><span> ((y2) • (q - 4)) - c • (q - 4) </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span> y2 • (q - 4) - c • (q - 4) </span><span>Step  3  :</span>Pulling out like terms :

<span> 3.1 </span>     Pull out     q-4 

After pulling out, we are left with : 
      (q-4) • (<span> y2</span>  *  1 +( c  *  (-1) ))

Trying to factor as a Difference of Squares :

<span> 3.2 </span>     Factoring: <span> y2-c</span> 

Theory : A difference of two perfect squares, <span> A2 - B2  </span>can be factored into <span> (A+B) • (A-B)

</span>Proof :<span>  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 <span>- AB + AB </span>- B2 = 
        <span> A2 - B2</span>

</span>Note : <span> <span>AB = BA </span></span>is the commutative property of multiplication. 

Note : <span> <span>- AB + AB </span></span>equals zero and is therefore eliminated from the expression.

Check : <span> y2  </span>is the square of <span> y1 </span>

Check :<span> <span> c1  </span> is not a square !! 
</span>Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :<span> (q - 4) • (y2 - c) </span><span>
</span>
4 0
4 years ago
5a + 3b + c= 40<br> a-3b+2c= -10<br> 14a-2b+3c= 50
aalyn [17]

Answer:

a= 40-3b-c/5

a=-10+3b-2c

a=50+2b-3c/14

Step-by-step explanation:

5a+3b+c-(3b+c)=40-(3b+c)

5a=40-3b-c

5a/5=40/5-3b/5-c/5

a= 40-3b-c/5

a-3b+2c-(3b+2c)=-10-(-3b+2c)

a=-10+3b-2c

14a-2b+3c-(-2b+3c)=50-(-2b+3c)

14a=50+2b-3c

14a/14=50/14+2b/14-3c/14  

a=50+2b-3c/14

8 0
3 years ago
How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?
nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = \frac{10!}{2!2!2!}

Number of words = \frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}

Number of words = \frac{3628800}{8}

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0
3 years ago
BRAINLIST PLEASEEEE HELP
Aleksandr [31]

Answer:

About 527.79

Step-by-step explanation:

formula is A=2πrh+2πr^2

6 0
3 years ago
Read 2 more answers
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