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2 years ago

Simplify the expression.

Mathematics

1 answer:

timurjin [86]2 years ago

3 0

Answer:

2. 12 2/9

Step-by-step explanation:

Because of the choices, I assume the three addends are mixed numerals:

3 4/7 + 4 2/9 + 4 3/7 =

= 3 + 4 + 4 + 4/7 + 2/9 + 3/7

= 11 + 7/7 + 2/9

= 11 + 1 + 2/9

= 12 2/9

Answer: 2. 12 2/9

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son4ous [18]

1/2 + 1/4 = 3/4
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3 years ago

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3a-2b=50, 2a+3b=100 what does a equal and what does b equal?

harina [27]

A = (350/13) and B = (400/-13)

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2 years ago

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Can someone help me please and thank you!!

Ipatiy [6.2K]

Answer:

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Step-by-step explanation:

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2 years ago

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

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3 years ago

d) If the circumference of the circular base of a cone is 44 cm and its height is 30 find its volume.

lana66690 [7]

Answer:

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Step-by-step explanation:

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2 years ago