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4 years ago

0.3•10^4 is it scientific notation why or why not?

1 answer:

3 0

No, this is not scientific notation. Scientific notation has a number multiplied by 10 to the power of something. But, that number has one digit in front of the decimal point. Since, here, there are none, this is not a number in scientific notation.

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Which of the following statements is correct?

Montano1993 [528]

Answer:

Systems of Equations often have infinite solutions.

Step-by-step explanation:

I don't know if there are 7 answers or what

5 0

3 years ago

The coordinates of the endpoints of directed line sergeant ABC are A(-8,7) and C(7,-13). If AB:BC = 3:2 then the coordinates of

cestrela7 [59]

The correct answer is A) (1,-5)

Further explanation:

Given points are:

A(-8,7)=(x1,y1)

C(7,13)=(x2,y2)

IT is also given that

AB:BC=3:2

Which means that B divides the line segment in 3:2

Here,

m=3

n=2

To find the coordinates of B

$x_B=\frac{mx_2+nx_1}{m+n}\\ = \frac{(3)(7)+(2)(-8)}{3+2}\\=\frac{21-16}{5}\\=\frac{5}{5}\\=1\\y_B=\frac{my_2+ny_1}{m+n}\\=\frac{(3)(-13)+(2)(7)}{3+2}\\=\frac{-39+14}{5}\\=\frac{-25}{5}\\=-5$

The coordinates of point B are (1,-5)

The correct answer is A) (1,-5)

Keywords: Coordinate geometry, mid-point

Learn more about coordinate geometry at:

#learnwithBrainly

7 0

3 years ago

How are proptions and percents the same

Lelechka [254]

Answer:

1 would be 10%, but a proportion is a ratio, as in this case 10/100 = 1/10= . 1, but 10% is not a ratio in of itself, but is a proportion of 100. % means OF one hundred. A proportion is a number TO another number.

Step-by-step explanation:

4 0

3 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3

Marat540 [252]

Answer:

y = -x - 2

Step-by-step explanation:

Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:

y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:

3 = 5 + C, or C = -2

Thus, the desired equation of this new line is y = -x - 2

5 0

3 years ago