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
marin [14]
3 years ago
5

What is the 8th term in the pattern 2, 10, 18, 26, ...?

Mathematics
1 answer:
Reil [10]3 years ago
6 0
Answer:58 (The sequence of numbers increases by increments of eight)
You might be interested in
The radius of a circle is 6 yards. What is the circle's area?
Mice21 [21]

Answer:

the answer is 113.1yd²

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the slope of the following points. (-20,-4) (-12,-10)
beks73 [17]

m = −3/4 is the correct answer. Hope this helps!

3 0
2 years ago
PLEASE HELP ME OUT (geometry)
jekas [21]

Answer:

x =60 ° angles on a straight line

y+25° =120° exterior angle of the triangle

y=120°-25°=95°

y =95 °

4 0
2 years ago
How can a percent be used to describe a change in quantity?
Anestetic [448]

Answer:

remember,a percent means "per 100".You can describe the change as a fraction comparing the amount of change to the original and then use a proportion to rewrite your problem as a percentage out of 100.

5 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
Other questions:
  • you translate a triangle 3 units to the right and 2 units up. the original triangle has coordinates (-3,-1),(-1,-1),(-3,-5).what
    7·1 answer
  • 26 eggs in a carton were broken. this was 5% of the total number of eggs in the carton. how many eggs were in the carton altoget
    7·1 answer
  • What she scored on her second test
    5·1 answer
  • What is the solution to this system of equations? y=22x + 42
    9·1 answer
  • A car is 180 inches long.A truck is 75% longer than the car.<br> How long is the truck?
    15·1 answer
  • Molly keeps a record of her money on a calendar. She had $112.64 saved prior to the week shown in the partial calendar. How much
    12·1 answer
  • PLEASE HELP LIKE PLEASEEEE
    14·1 answer
  • Can you all help me also answer this question 3 and 4
    13·1 answer
  • What is the slope-intercept form of the function described by this table? X 1 2 3 4 y 8 13 18 23 Enter your answer by filling in
    13·1 answer
  • It this pattern a net for the three-dimensional figure?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!