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GuDViN [60]
3 years ago
7

What is the surface area of the triangular prism

Mathematics
1 answer:
NARA [144]3 years ago
8 0

Answer:

The answer for the qusetion Is B) 108

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What is the LCM of 8 and 10
iragen [17]
40


8x5=40
10x4=40

Hope this helps
3 0
2 years ago
(8x^3 - x) - (10x - 5x^2 - 3x^3) <br> Show your work.
sergeinik [125]

Let's simplify step-by-step.
8
x
3
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10
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5
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Distribute the Negative Sign:
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10
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=
8
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=
8
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10
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Combine Like Terms:
=
8
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=
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8
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=
11
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5
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11
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Answer:
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11
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Brainliest Please:)
6 0
3 years ago
Read 2 more answers
A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int
Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}

By expanding the previous equation:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0

Since there is no accumulation within the tank, expression is simplified to this:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}, where c(0) = 0 \frac{pounds}{gallon}.

\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}

The solution of this equation is:

c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})

The salt concentration after 8 minutes is:

c(8) = 0.166 \frac{pounds}{gallon}

The instantaneous amount of salt in the tank is:

m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds

3 0
3 years ago
An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the
Akimi4 [234]

Answer:

B. x<27

Step-by-step explanation:

300-165=135

135/5=27

8 0
3 years ago
Ashley car insurance cost $115 per month, how much does it cost per year
8090 [49]

Answer:1380

Step-by-step explanation:

its because theres 12 months in a year and its 115 dollar and 115x12 is 1380

3 0
3 years ago
Read 2 more answers
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