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2 years ago

The formula for density is d = m/v,

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

4 0

Answer:

Kg per cm

Kilograms per cubic meter

Step-by-step explanation:

This formula can be represented as something similar to miles per hour (or kilometers per hour). Looking at the fraction will eventually give you the distance for every hour once it its fully simplified.

Use this problem as an example. d=4/2 where 4 means kilograms and 2 means cubic meters. Once fully simplified to 2/1 you can say there is 2 kilograms per cubic meter which is considered your volume.

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Lorico [155]

The answer is A
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2 years ago

Use the information given to answer the question.

lubasha [3.4K]

Answer:

Area is (x² - 9) units squared.

Step-by-step explanation:

• from difference of squares quadratic property:

${ \boxed{ \rm{(a - b)(a + b) = ( {a}^{2} - {b}^{2}) }}}$

→ a is x

→ b is 3

• Therefore:

${ \tt{area = {x}^{2} - {3}^{2} }} \\ \\ { \tt{area = {x}^{2} - 9 }}$

8 0

2 years ago

Fill in the blank. In the triangle below, zº =

lianna [129]

Answer:

$38^{\circ}$

Step-by-step explanation:

In a given triangle, the sum of every angle is always $180^{\circ}$ . Here, we are given a right angle ( $90^{\circ}$ ), as well as another $52^{\circ}$ angle. Simply subtracting from 180 will give us the answer.

$z^{\circ}=180^{\circ}-90^{\circ}-52^{\circ} \\z^{\circ}=90^{\circ}-52^{\circ} \\z^{\circ}=38^{\circ}$

5 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id

dybincka [34]

i) The given function is

$f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}$

The domain is

$(x-5)(x+4)^2\ne 0$

$(x-5)\ne0,(x+4)^2\ne 0$

$x\ne5,x\ne -4$

ii) For vertical asymptotes, we simplify the function to get;

$f(x)=\frac{(2x+1)}{(x+4)^2}$

The vertical asymptote occurs at

$(x+4)^2=0$

$x=-4$

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

$2x+1=0$

$2x=-1$

$x=-\frac{1}{2}$

iv) To find the y-intercept, we substitute $x=0$ into the reduced fraction.

$f(0)=\frac{(2(0)+1)}{(0+4)^2}$

$f(0)=\frac{(1)}{(4)^2}$

$f(0)=\frac{1}{16}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0$

The horizontal asymptote is $y=0$ .

vi) The function has a hole at $x-5=0$ .

Thus at $x=5$ .

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0

2 years ago

The asymptote of the function f(x) = 3x + 1 – 2 is ___. Its y-intercept is ___.

Svetradugi [14.3K]

The only way this could have an asymptote, either horizontal, vertical, or oblique is if it is a rational function, proper or improper. This function is linear:
y=3x-1 is what it simplifies to and it is a straight line through the y axis at -1 and has a positive slope of 3. There are no asymptotes here. But the y intercept, like I stated, is (0, -1)

8 0

2 years ago