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Anon25 [30]
3 years ago
5

Laura is a chemist working with liquids and solutions. She has two large cylindrical barrels that can hold up to 2,000 liters ea

ch. The first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. Laura begins draining the first barrel at a rate of 36 liters per minute at the same time she begins filling the second barrel. Laura fills the second barrel with 44 liters of solution every minute. Which inequality represents the seconds, s, when the second barrel contains a greater or equal amount of solution than the first barrel?
Mathematics
1 answer:
EleoNora [17]3 years ago
6 0

Answer:

900 - 0.6s ≤ 100 + 0.73s

Step-by-step explanation:

The left side is the equation for the first barrel containing 900L and draining at 36L/minute. This means that it drains 0.6L/second.

The right side of the equation is for the second barrel containing 100L and filling at 44L/minute. This means that it fills at 0.73L/second.

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vovangra [49]

Answer: Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

4 0
3 years ago
Enter the missing exponent.
konstantin123 [22]

Answer:

The missing exponent is 20.

Step-by-step explanation:

y^{29} / y^{20} = y^9

upper exponent minus lower exponent.

4 0
3 years ago
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of pi for
Tatiana [17]

Answer:

125πkm

Step-by-step explanation:

The figure shown is a cylinder :

Volume of a cylinder is obtained using tbe relation :

V = πr²h

Where ; r = Radius ; h = height

r = 5km ; height = 5km

Hence,

V = π * 5² * 5

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V = 125πkm

3 0
3 years ago
Show that if a and b are positive integers, then ab = gcd (a, b). lcm (a, b) . [Hint: Use prime factorizations of a and b and th
AleksandrR [38]

Answer:

ab=\gcd(a,b)\cdot \text{lcm}(a,b)

Step-by-step explanation:

Using the hint, write a and b in the following prime factorization:

a=p_1^{x_1}p_2^{x_2}\cdots p_t^{x_t}\cdot q,

b=p_1^{y_1}p_2^{y_2}\cdots p_t^{y_t}\cdot r,

where  \gcd(p_i,r)=1,\ \gcd(p_i,q)=1,\ \gcd(r,q)=1,\ \gcd(p_i,p_j)=1, for i ≠ j.

Then by the formulae for gcd(a,b) and lcm(a,b) we know that:

\gcd(a,b)=p_1^{\min(x_1,y_1)}p_2^{\min (x_2,y_2)} \cdots p_t^{\min(x_t,y_t)}

\text{lcm}(a,b)= q\cdot r\cdot p_1^{\max(x_1,y_1)}p_2^{\max(x_2,y_2)}\cdots p_t^{\max(x_t,y_t)}

Note that the expression \min(x_i,y_i)+\max(x_i,y_i)=x_i+y_i for all i, since if the minimum is, <em>without loss of generality</em>, x_i, then the maximum must be y_i, and viceversa. Then, it is straightforward to verify that when we multiply gcd(a, b) and lcm(a, b) its prime factorization matches the prime factorization of ab, and so we can see the equaility holds:

\gcd(a,b)\cdot \text{lcm}(a,b)=ab.

7 0
3 years ago
What will be the equation of line perpendicular to the line y=(-1/m)x+c?
AleksandrR [38]

Answer:

Step-by-step explanation:

y = (-1/m)x + c

the slope here is -1/m

a perpendicular line will have a negative reciprocal slope...all that means is flip the slope and change the sign.

-1/m....flip the slope....-m/1......change the sign....m/1 which is the same as m

I cant tell u the equation of the line perpendicular, but I can tell u that is has a slope of m.

8 0
3 years ago
Read 2 more answers
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