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
Brums [2.3K]
2 years ago
15

A 222-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

Mathematics
2 answers:
Tems11 [23]2 years ago
6 0
Is there any options?
Helen [10]2 years ago
6 0
The shorter piece is 37 inches long, use the equation 5x+x=222, solve the shorter piece is 37 inches and the longer piece is 185 inches.
You might be interested in
Can you tell how many students got allowances of $15? Explain.
neonofarm [45]
5 because it says 11-16 which is one number before 15. dollars
5 0
3 years ago
If a = 7 - 4√3, find the value of a + 1/a​
irga5000 [103]

Answer:

Step-by-step explanation:

To calculate a+1/a, we first need to calculate for a.

a = 7 - 4 * \sqrt[2]{3}

square root of 3 = 1.73

a = 7 - 4 * 1.73

a = 7 - 6.9

a = 0.1

0.1 + 1 / 0.1 = 0.1 + 10 = 10.1

Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:

a = 7 - \sqrt[4]{3}

a = 7 - 1.31

a = 5.69

5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86

Hope I Helped!

5 0
2 years ago
A plane is uniquely determined by three non-collinear points. What is the maximum possible number of planes that can be determin
Daniel [21]

Answer:

6 planes

Step-by-step explanation:

4 0
2 years ago
Need help with these 2 problems on my homework.
poizon [28]
4. 55 + 0.65*55 =  $90.75

5. 90.75 * 0.25*90.75 = $113.44

6. 113.44 - 0.33*113.44 = $76.00
4 0
3 years ago
Consider the initial value problem y′+5y=⎧⎩⎨⎪⎪0110 if 0≤t<3 if 3≤t<5 if 5≤t<[infinity],y(0)=4. y′+5y={0 if 0≤t<311 i
rosijanka [135]

It looks like the ODE is

y'+5y=\begin{cases}0&\text{for }0\le t

with the initial condition of y(0)=4.

Rewrite the right side in terms of the unit step function,

u(t-c)=\begin{cases}1&\text{for }t\ge c\\0&\text{for }t

In this case, we have

\begin{cases}0&\text{for }0\le t

The Laplace transform of the step function is easy to compute:

\displaystyle\int_0^\infty u(t-c)e^{-st}\,\mathrm dt=\int_c^\infty e^{-st}\,\mathrm dt=\frac{e^{-cs}}s

So, taking the Laplace transform of both sides of the ODE, we get

sY(s)-y(0)+5Y(s)=\dfrac{e^{-3s}-e^{-5s}}s

Solve for Y(s):

(s+5)Y(s)-4=\dfrac{e^{-3s}-e^{-5s}}s\implies Y(s)=\dfrac{e^{-3s}-e^{-5s}}{s(s+5)}+\dfrac4{s+5}

We can split the first term into partial fractions:

\dfrac1{s(s+5)}=\dfrac as+\dfrac b{s+5}\implies1=a(s+5)+bs

If s=0, then 1=5a\implies a=\frac15.

If s=-5, then 1=-5b\implies b=-\frac15.

\implies Y(s)=\dfrac{e^{-3s}-e^{-5s}}5\left(\frac1s-\frac1{s+5}\right)+\dfrac4{s+5}

\implies Y(s)=\dfrac15\left(\dfrac{e^{-3s}}s-\dfrac{e^{-3s}}{s+5}-\dfrac{e^{-5s}}s+\dfrac{e^{-5s}}{s+5}\right)+\dfrac4{s+5}

Take the inverse transform of both sides, recalling that

Y(s)=e^{-cs}F(s)\implies y(t)=u(t-c)f(t-c)

where F(s) is the Laplace transform of the function f(t). We have

F(s)=\dfrac1s\implies f(t)=1

F(s)=\dfrac1{s+5}\implies f(t)=e^{-5t}

We then end up with

y(t)=\dfrac{u(t-3)(1-e^{-5t})-u(t-5)(1-e^{-5t})}5+5e^{-5t}

3 0
3 years ago
Other questions:
  • Find the given term 11, -33,99 9th term
    10·1 answer
  • mario collected 3g seashells. jasmine collected 10 more seashells that mario. write the number of seashells they collected toget
    9·1 answer
  • How many different outfits can gavin make with three shirts and two pairs of pants
    10·2 answers
  • Offering 20 Points(not a lot I know but I really need quick help)!!!
    6·1 answer
  • How do you Simplify 80/36
    11·1 answer
  • for A class trip, 144 students are put on 4 buses .At this rate how many students would be on 8 buses. Plz put work​
    5·1 answer
  • Please help me! I will give brainly!
    13·2 answers
  • Which expressions are equal to 105?
    10·1 answer
  • Find the mode of this data set:<br> 31, 30, 32, 31, 30, 31, 32,<br> 33, 30, 31, 31, 30, 32
    12·1 answer
  • What is the area of the rectangle that is 3/2 tall and 6/2 long<br> explain how you got your answer.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!