1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fittoniya [83]
3 years ago
5

What is the density of an object having a mass of 25 g and a volume of 8.0 cm cubed

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

Answer:

3.125 g/cm³.

Step-by-step explanation:

The formula for density/mass/volume is d = m/v, where d is density in grams per cm cubed, m is in grams, and v is in cm cubed.

In this case, m = 25 and v = 8.0.

d = 25 / 8.0

d = 25 / 8

d = 3.125.

So, the density of the object is 3.125 g/cm cubed.

Hope this helps!

You might be interested in
A total of 50,000 contestants are chosen for a survey. A
ankoles [38]
I am pretty sure it is linear decrease,
4 0
3 years ago
Zach ate breakfast at a restaurant. The bill came to $76. If he left a 15% tip, how much was the tip?​
finlep [7]
If they left 15% the tip should be
$11.40, making the total fee $87.40
6 0
2 years ago
can someone show me how to find the general solution of the differential equations? really need to know how to do it for the upc
mariarad [96]
The first equation is linear:

x\dfrac{\mathrm dy}{\mathrm dx}-y=x^2\sin x

Divide through by x^2 to get

\dfrac1x\dfrac{\mathrm dy}{\mathrm dx}-\dfrac1{x^2}y=\sin x

and notice that the left hand side can be consolidated as a derivative of a product. After doing so, you can integrate both sides and solve for y.

\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1xy\right]=\sin x
\implies\dfrac1xy=\displaystyle\int\sin x\,\mathrm dx=-\cos x+C
\implies y=-x\cos x+Cx

- - -

The second equation is also linear:

x^2y'+x(x+2)y=e^x

Multiply both sides by e^x to get

x^2e^xy'+x(x+2)e^xy=e^{2x}

and recall that (x^2e^x)'=2xe^x+x^2e^x=x(x+2)e^x, so we can write

(x^2e^xy)'=e^{2x}
\implies x^2e^xy=\displaystyle\int e^{2x}\,\mathrm dx=\frac12e^{2x}+C
\implies y=\dfrac{e^x}{2x^2}+\dfrac C{x^2e^x}

- - -

Yet another linear ODE:

\cos x\dfrac{\mathrm dy}{\mathrm dx}+\sin x\,y=1

Divide through by \cos^2x, giving

\dfrac1{\cos x}\dfrac{\mathrm dy}{\mathrm dx}+\dfrac{\sin x}{\cos^2x}y=\dfrac1{\cos^2x}
\sec x\dfrac{\mathrm dy}{\mathrm dx}+\sec x\tan x\,y=\sec^2x
\dfrac{\mathrm d}{\mathrm dx}[\sec x\,y]=\sec^2x
\implies\sec x\,y=\displaystyle\int\sec^2x\,\mathrm dx=\tan x+C
\implies y=\cos x\tan x+C\cos x
y=\sin x+C\cos x

- - -

In case the steps where we multiply or divide through by a certain factor weren't clear enough, those steps follow from the procedure for finding an integrating factor. We start with the linear equation

a(x)y'(x)+b(x)y(x)=c(x)

then rewrite it as

y'(x)=\dfrac{b(x)}{a(x)}y(x)=\dfrac{c(x)}{a(x)}\iff y'(x)+P(x)y(x)=Q(x)

The integrating factor is a function \mu(x) such that

\mu(x)y'(x)+\mu(x)P(x)y(x)=(\mu(x)y(x))'

which requires that

\mu(x)P(x)=\mu'(x)

This is a separable ODE, so solving for \mu we have

\mu(x)P(x)=\dfrac{\mathrm d\mu(x)}{\mathrm dx}\iff\dfrac{\mathrm d\mu(x)}{\mu(x)}=P(x)\,\mathrm dx
\implies\ln|\mu(x)|=\displaystyle\int P(x)\,\mathrm dx
\implies\mu(x)=\exp\left(\displaystyle\int P(x)\,\mathrm dx\right)

and so on.
6 0
3 years ago
Suppose c varies jointly with a and b. When c = 25, a = 2, and b = 2.5. What is the value of c when b = 4/3 and a = 6?
ICE Princess25 [194]
You have to find the value of c when b=4/3and a=6
8 0
2 years ago
A car traveled a distance of D = 199 km (kilometers) for T = 4.2 hours at a constant rate. Use the formula
SCORPION-xisa [38]

Answer:

47.4 not rounded 47.38

Step-by-step explanation:

You divide 199 by 4.2 and get 47.4 and then you can multiply 47.38x4.2 and will get you 199

8 0
2 years ago
Read 2 more answers
Other questions:
  • Let f(x) = 3x + 7 and g(x) = 2x - 11. Find (f + g)(x). Do not put any spaces between numbers, variables and symbols.
    6·1 answer
  • A triangle has side lengths of 24 32 and 40. Is the traingle acute obtuse or right ?
    9·2 answers
  • If Asher plays each of the remaining seasons for which he is eligible, what is the average number of doubles he needs to hit per
    5·1 answer
  • I WILL MARK AS BRAINLIEST PLEASE ANSWER FAST
    8·2 answers
  • 8) The graphical representation of a linear polynomial is
    9·1 answer
  • Find the total amount you will pay on a bill of $43.50 and tip rate of 12%.
    10·1 answer
  • What is the range of possible sizes for side x
    14·1 answer
  • .
    6·2 answers
  • Hermes 2. In Fig. 17.11, the pie chart represents the amount spent on different sports by a school in a year 1f the money spent
    6·1 answer
  • 9
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!