The equation D=13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?The density approaches infinity.
The density approaches 0.
The density approaches 1.
The density approaches 13.

Answers

Answer 1

Answer: For this case we have the following equation:
$D = (13)/(v)$
Where,
D: the density of a particular substance
v: the volume of the substance
When replacing v = 0 in the given equation we have:
$D = (13)/(0)$
$D = \infty$
This means that as the function acquires values very close to zero, the density acquires a very large value.
Answer:
as the volume approaches 0:
The density approaches infinity.
option 1

Answer 2

Answer: As the volume approaches 0,
The density approaches infinity

The graph of the equation is a hyperbola with the asymptote at v = 0. This means that when the value of v is very close to 0, the value of the density is very large.

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On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch: 30 miles. What is the actual distance between the cities?

Answers

Answer:

75 miles.

Step-by-step explanation:

By proportion the actual distance is 2.5 * 30

= 75 miles

A certain type of cereal costs $3.79 for 19.5 ounces. What is the unit rate?Enter your answer, rounded to the nearest cent, in the box.

Answers

Answer:

0.19

Step-by-step explanation:

I took the test and passed

Step-by-step explanation:

$3.79 ÷ 19.5 = .194

answer = $.19 per oz

Jaleel and Lisa are simplifying the expression 2(x - 2)^2. Jaleel’s method: 2(x - 2)^2 = 2x - 4 Lisa’s method: 2(x - 2)^2 = 2x. Whose method is correct and why? a) Lisa’s method is correct because 2(x - 2) equals 2x - 2. b) Lisa’s method is correct because 2(x - 2) equals 2x. c) Jaleel is correct because 2(x - 2) equals 2x - 2. d) Jaleel is correct because 2(x - 2) equals 2x - 4.

Answers

Answer:

The correct method is **c) Jaleel is correct because 2(x - 2) equals 2x - 2.**

Here's why:

Jaleel's method correctly expands the expression 2(x - 2)^2. When you square (x - 2), you get (x - 2)(x - 2), which simplifies to x^2 - 4x + 4. Then, multiplying this by 2 gives you 2(x^2 - 4x + 4), which simplifies further to 2x^2 - 8x + 8.

Lisa's method, on the other hand, incorrectly simplifies it as 2x. This is not the correct expansion of 2(x - 2)^2, as it neglects the square of (x - 2) and simplifies it incorrectly.

So, Jaleel's method is the correct one.

SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT
4m^2-1=-23

Answers

4m^2-1=-23
⇒ 4m^2= -23+1
⇒ 4m^2= -22
⇒ m^2= -22/4
⇒ m^2= -11/2
⇒ m is undefined for all m∈R (for m^2 is always ≥0 for all m∈R)

Final answer: m is undefined for all m∈R~

4m^2 -1 = -23 Add 1 to both sides 4m^2 = -22 then divide both sides by 4. m^2 = -11/2. Square root both sides. m = ((square root of 22)/2) times i

Mary is making a pinata that has a ball-like shape. The pinata has a surface area of 40 feet. Use the formula for the surface area of a sphere: (S=4πr^2) to find the radius of the pinata. Round your answers to the nearest hundredth.

Answers

$S=4\pi r^2\ \ \ and\ \ \ S=40\ [feet]\ \ \ \Rightarrow\ \ \ 4\pi r^2=40\ /:4\pi\n \nr^2= (10)/(\pi) \ \ \ \Rightarrow\ \ \ r= \sqrt{ (10)/(\pi)} \ \ \ \Rightarrow\ \ \ \ r\approx1.78\ [feet]$