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2 years ago

Which fraction is equivalent to 2 10

Mathematics

1 answer:

yawa3891 [41]2 years ago

7 0

Answer:

Fraction Equivalent Fractions

1/5 2/10 4/20

2/5 4/10 8/20

3/5 6/10 12/20

4/5 8/10 16

Step-by-step explanation:

THIS IS ANSWER PLS MARK BRAINLIST

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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

$u = - x^2$

$du = 2xdx$

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

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

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

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

5 0

3 years ago

Simplify this problem::<br> -6x + 3 3/4 + 14x - 3.25

Lynna [10]

Answer:

8x + 1/2 or 8x + 0.5

Step-by-step explanation:

-6x + 3 3/4 + 14x - 3.25

u can either convert the fraction to a decimal or convert the decimal into a fraction, i'm going to do the latter

-6x + 3 3/4 + 14x - 3 1/4

rearrange to make it easier, don't need to do this i'm just doing this for the sake of it

-6x + 14x + 3 3/4 - 3 1/4

8x + 2/4, simplify this

8x + 1/2

The decimal way if u want:

-6x + 3 3/4 + 14x - 3.25

-6x + 3.75 + 14x - 3.25

-6x + 14x + 3.75 - 3.25

8x + 0.5

6 0

3 years ago

The sum of double a number and 8

olya-2409 [2.1K]

The answer is 10...............

8 0

3 years ago

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relat

Alex73 [517]

Answer:

Y= 1.5x

Step-by-step explanation:

What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)

I hope this will help

4 0

2 years ago

A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the e

Pie

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

<h3>What is the general equation of a circle?</h3>

The equation of a circle is given by the formula,

$(x-a)^{2} + (y -b)^{2} = r^{2}$

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

$(x-4)^{2} + (y-12)^{2} = 9$

$(x-a)^{2} + (y -b)^{2} = r^{2}$

$(x-4)^{2} + (y -9)^{2} = 3^{2}$

On observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

To learn more about Equation of the circle from the given link

brainly.com/question/22223658

#SPJ4

6 0

1 year ago