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Sveta_85 [38]
2 years ago
7

Simplify the expression please

Mathematics
1 answer:
Luden [163]2 years ago
4 0

Answer:

Step-by-step explanation:

\frac{-9x^{5} }{\sqrt{x+4} } = \frac{-9x^{5}\sqrt{x+4} }{\sqrt{x+4}\sqrt{x+4} }\\= \frac{-9x^{5}\sqrt{x+4} }{x+4 }

Here is the answer for you.

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Uppose that x is a bernoulli trial with p = .30. determine the mean of x.
lara [203]
The goal is not only to model the vector with 2 - D and to determine its important parameters, but also to examine the impact in the implementation. That is, Ogden's material parameters, element type, element size, and loading type.
6 0
3 years ago
I was at the store, and saw two sizes of avocados being sold. The regular size sold for $0.84 each. For what prices would the la
JulsSmile [24]

Answer:

The bigger avocado will be a better deal if the ratio of the sizes of the bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

Step-by-step explanation:

Given that two sizea of avocados are being sold, since the regular size is being sold for $0.84 each, let the price for the bigger avocado be $x.

Then note the following:

1. How bigger than the smaller avocado is the bigger one?

This would determine if the price for the bigger one is a bargain, or a mistake.

If for instance, the bigger avocado is double the size of the smaller one, then for any price, $x less that $1.68 (twice of $0.84), it is a bargain.

The bigger avocado will be a better deal if the ratio of the sizes bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

6 0
2 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
Hello! Please help asap
ValentinkaMS [17]

Answer:

Hello! answer: 55

Step-by-step explanation:

55 + 35 = 90 HOPE THAT HELPS!

3 0
3 years ago
Which ratio is equivalent to 3/7? <br> A) 6 to 10<br> B) 9:12<br> C) 12/35<br> D) 7 to 3
Leona [35]

we are ratio as

=\frac{3}{7}

It will be equivalent to only those terms which would be multiple of this term

so, we will multiply top and bottom term by 5

and we get

=\frac{3\times 5}{7\times 5}

=\frac{15}{7\times 5}

=\frac{15}{35}

so, it is very similar to 12/35

so, it will be equivalent to 12/35

so, option-C.......Answer

7 0
3 years ago
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