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AysviL [449]
2 years ago
8

What is the weight in grams of a liquid that exactly fills 163.5 ml container if the density of the liquid is .492 G / milliliIt

ers
Mathematics
1 answer:
fenix001 [56]2 years ago
8 0

density= mass/volume 0.492=mass/163.5 mass=0.492*163.5 mass =80.448gram. Hope this helps!

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the perimeter of an isosceles trapezoid is 62 cm. if three sides are equal in length and the fourth side is 10 cm longer, find t
Alja [10]
Perimeter = sum of all the sides
let x = one side
longer side = x + 10
Perimeter = x + x + x + x + 10
62 = 4x + 10
4x = 52
x = 13
Longer side = 23

Area = (10+23)x2/10
         = 6.6  
5 0
2 years ago
Read 2 more answers
A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential
Jet001 [13]
The initial population is
P₀ = 94 million in 1993

The growth formula is
P(t) = P_{0}e^{kt}
where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.

Because P(5) = 99 million (in 1999), 
94e^{5k} = 99 \\e^{5k}=1.0532 \\ 5k = ln(1.0532) \\ k = 0.010367

In the year 2005, t = 12 years, and
P(12)=94e^{0.010367*12} = 106.45

Answer: 106 million (nearest million)

7 0
2 years ago
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is (x
DaniilM [7]
We have the following equation:
 x2 + y2 + 42x + 38y - 47 = 0
 We rewrite the equation:
 x2 + 42x + y2 + 38y - 47 = 0
 x2 + 42x + y2 + 38y = 47
 Rewriting we have:
 x2 + 42x + (42/2) ^ 2 + y2 + 38y + (38/2) ^ 2 = 47 + (42/2) ^ 2 + (38/2) ^ 2
 x2 + 42x + 441 + y2 + 38y + 361 = 47 + 441 + 361
 Rewriting we have:
 (x + 21) ^ 2 + (y + 19) ^ 2 = 849
 The center of the circle is:
 (x, y) = (-21, -19)
 The radio is:
 r = root (849)
 r = (849) ^ 2

 A circle of the same radius is given by:
 x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
 Let's check:
 x ^ 2 - 50x + y ^ 2 - 30y + 1 = 0
 x ^ 2 - 50x + y ^ 2 - 30y = - 1
 x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + (-30/2) ^ 2 + (-50/2) ^ 2
 x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + 225 + 625
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 Answer:
 
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
 
(x, y) = (-21, -19)
 
r = (849) ^ 2
 
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
5 0
2 years ago
Which image (A'B'C'D') of ABCD cannot be produced using only reflections? A. B. C. D.
liberstina [14]

Answer:

the answer is D

Step-by-step explanation:

3 0
2 years ago
Elias and Niko are polishing the silver at the heritage museum.Elias could polish all the silver himself in 40 minutes.That task
irina1246 [14]

Let x be the time it takes Elias and Niko to polish the silver working together. If Elias works alone, he could polish all the silver himself in 40 minutes. Then, in 1 minute, he will make \frac{1}{40} of the total work. If the same analysis is applied Niko, in 1 minute, will make \frac{1}{50} of the total work.


Working together Elias and Niko will need x minutes to make all the work. Then, in 1 minute, they will make \frac{1}{x} of the total work.  So, the fraction of the total work they make in 1 minute is given by this equation:

\frac{1}{x}=\frac{1}{40}+\frac{1}{50} \\ \\ \frac{1}{x}=\frac{50+40}{2000} \\ \\ x=\frac{2000}{90} \\ \\ \boxed{x=22.22 minutes}

6 0
2 years ago
Read 2 more answers
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