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nikitadnepr [17]

3 years ago

5

Three numbers multiplied together give an answer of -12. The sum of two of the numbers is zero. What could the three numbers be?

1 answer:

Angelina_Jolie [31]3 years ago

3 0

-2,2,3 since 2*-2*4 = 12 and -2+2=0

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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

$u = - x^2$

$du = 2xdx$

So

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

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

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

At x = 2 years

$P(x) =$ $25,000

So

Since the profit rate is in million

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

So

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

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

$Z = 0.016$

So the profit function becomes

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

5 0

3 years ago

How do you solve twelve less than the quotient of a number and 7 is -2

Drupady [299]

Remark

One of the things you need to do is learn to read phrase by phrase.

What is the quotient of a number and 7? That meas you have a number, x, and it is divided by 7. What you do that the answer you get is the quotient.

x/7 is what you know so for. Now the first part says you take 12 away from that.

x/7 - 12 is what you have after doing that.

The result you get is - 2

x/7 - 12 = - 2 Add 12 to both sides

x/7 - 12 + 12 = - 2 + 12

x/7 = 10 Now multiply by 7

x = 10 *7

x = 70 <<< Answer the number is 70

6 0

3 years ago

Do you think it was moral for European nations to claim lands in the Americas that were already inhabited by natives? Why or why

TEA [102]

Answer:

It was immoral for European nations to claim land in the Americas that were already inhabited by natives. This is because some people were displaced and used as slaves.

Step-by-step explanation:

Cartography is defined as the science and art of making maps or graphical representations showing spatial concepts at various scales. Maps convey geographic information about a place and can be useful in understanding topography, weather, and culture, depending upon the type of map.

7 0

3 years ago

Two fractions one positive one negative whose product is 5/8

Ray Of Light [21]

-10/8 and + 15/8. Those should work.

3 0

3 years ago

What is the density of an object having a mass of 25 g and a volume of 8.0 cm cubed

weqwewe [10]

Answer:

3.125 g/cm³.

Step-by-step explanation:

The formula for density/mass/volume is d = m/v, where d is density in grams per cm cubed, m is in grams, and v is in cm cubed.

In this case, m = 25 and v = 8.0.

d = 25 / 8.0

d = 25 / 8

d = 3.125.

So, the density of the object is 3.125 g/cm cubed.

Hope this helps!

6 0

3 years ago