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Luden [163]
3 years ago
11

At time t is greater than or equal to zero, a cube has volume V(t) and edges of length x(t). If the volume of the cube decreases

at a rate proportional to its surface area, which of the following differential equations could describe the rate at which the volume of the cube decreases?
A) dV/dt=-1.2x^2
B) dV/dt=-1.2x^3
C) dV/dt=-1.2x^2(t)
D) dV/dt=-1.2t^2
E) fav/dt=-1.2V^2
Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

C

Step-by-step explanation:

V(t) = [x(t)]³

A(t) = 6[x(t)]²

dV/dt = k × 6[x(t)]²

Where k < 0

From the options,

taking k = -0.2

dV/dt = -1.2[x(t)]²

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F(x)=6x^2 +10x−1
KATRIN_1 [288]

Answer: It has two distinct real zeros.

Step-by-step explanation:

The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

D=b^2-4ac

In this case you have the following Quadractic function provided in the exercise:

f(x)=6x^2 +10x-1

Let's make it equal to 0:

0=6x^2 +10x-1

You can identify that:

a=6\\\\b=10

Knowing these values, you can substitute them into the formula and then evaluate:

D=10^2-4(6)(-1)\\\\D=124

Therefore, since:

 D>0

You can determine that the it has two distinct real roots.

3 0
3 years ago
−10 &gt; − 5 or −4 &lt; −20
natima [27]

-10 is less than -5 because negative numbers are farther from 0. Same applies to -4 and -20.

3 0
3 years ago
You got 3 problems on a 25 question yest what was the percent of the questions you got right?
Law Incorporation [45]
I think 12 percent but sorry if I got it super wrong
5 0
3 years ago
What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?
likoan [24]

Answer:

• General equation of a line:

{ \tt{y = mx + b}} \\

  • m is the slope, m = 2/5
  • b is y-intercept

{ \tt{ - 7 = ( \frac{2}{5} \times  - 4) + b }} \\  \\ { \tt{ - 7 =  -  \frac{8}{5}  + b}} \\  \\ { \tt{b =  -  \frac{27}{5} }}

• Therefore, equation of line is:

{ \tt{y =  \frac{2}{5}x -  \frac{27}{5}  }} \\

7 0
3 years ago
Read 2 more answers
Three coins are tossed onto a table and the numbers of heads is recorded. The number of possible outcomes for this event is
Firdavs [7]
I think the answer is D because to find probability u have to count all outcomes
5 0
3 years ago
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