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
kozerog [31]
3 years ago
6

An electrician charges $15 plus $11 per hour. Another electrician charges $10 plus $15 per hour. Which of the systems of equatio

ns below correctly represents this situation if x represents the number of hours and y represents the total cost?
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

y=11x+15

y=15x+10

This is the system of equariob

You might be interested in
2<br> -6x + 5y = 1<br> 6x + 4y = -10
Luba_88 [7]

Answer:

(-1,-1)

Step-by-step explanation:

finding y

   -6x + 5y = 1

 + (6x + 4y = -10)

---------------------------

              9y = -9

                y = -1

finding x

-6x + 5(-1) = 1

-6x - 5 = 1

    + 5 = +5

-6x = 6

x= -1

6 0
3 years ago
An airplane company wants to make a model of an 87 foot airplane. The scale they are using is 2in=8ft. How many inches long with
aivan3 [116]
I think the correct answer is 10.875
7 0
3 years ago
For the function defined by f(t)=2-t, 0≤t&lt;1, sketch 3 periods and find:
Oksi-84 [34.3K]
The half-range sine series is the expansion for f(t) with the assumption that f(t) is considered to be an odd function over its full range, -1. So for (a), you're essentially finding the full range expansion of the function

f(t)=\begin{cases}2-t&\text{for }0\le t

with period 2 so that f(t)=f(t+2n) for |t| and integers n.

Now, since f(t) is odd, there is no cosine series (you find the cosine series coefficients would vanish), leaving you with

f(t)=\displaystyle\sum_{n\ge1}b_n\sin\frac{n\pi t}L

where

b_n=\displaystyle\frac2L\int_0^Lf(t)\sin\frac{n\pi t}L\,\mathrm dt

In this case, L=1, so

b_n=\displaystyle2\int_0^1(2-t)\sin n\pi t\,\mathrm dt
b_n=\dfrac4{n\pi}-\dfrac{2\cos n\pi}{n\pi}-\dfrac{2\sin n\pi}{n^2\pi^2}
b_n=\dfrac{4-2(-1)^n}{n\pi}

The half-range sine series expansion for f(t) is then

f(t)\sim\displaystyle\sum_{n\ge1}\frac{4-2(-1)^n}{n\pi}\sin n\pi t

which can be further simplified by considering the even/odd cases of n, but there's no need for that here.

The half-range cosine series is computed similarly, this time assuming f(t) is even/symmetric across its full range. In other words, you are finding the full range series expansion for

f(t)=\begin{cases}2-t&\text{for }0\le t

Now the sine series expansion vanishes, leaving you with

f(t)\sim\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi t}L

where

a_n=\displaystyle\frac2L\int_0^Lf(t)\cos\frac{n\pi t}L\,\mathrm dt

for n\ge0. Again, L=1. You should find that

a_0=\displaystyle2\int_0^1(2-t)\,\mathrm dt=3

a_n=\displaystyle2\int_0^1(2-t)\cos n\pi t\,\mathrm dt
a_n=\dfrac2{n^2\pi^2}-\dfrac{2\cos n\pi}{n^2\pi^2}+\dfrac{2\sin n\pi}{n\pi}
a_n=\dfrac{2-2(-1)^n}{n^2\pi^2}

Here, splitting into even/odd cases actually reduces this further. Notice that when n is even, the expression above simplifies to

a_{n=2k}=\dfrac{2-2(-1)^{2k}}{(2k)^2\pi^2}=0

while for odd n, you have

a_{n=2k-1}=\dfrac{2-2(-1)^{2k-1}}{(2k-1)^2\pi^2}=\dfrac4{(2k-1)^2\pi^2}

So the half-range cosine series expansion would be

f(t)\sim\dfrac32+\displaystyle\sum_{n\ge1}a_n\cos n\pi t
f(t)\sim\dfrac32+\displaystyle\sum_{k\ge1}a_{2k-1}\cos(2k-1)\pi t
f(t)\sim\dfrac32+\displaystyle\sum_{k\ge1}\frac4{(2k-1)^2\pi^2}\cos(2k-1)\pi t

Attached are plots of the first few terms of each series overlaid onto plots of f(t). In the half-range sine series (right), I use n=10 terms, and in the half-range cosine series (left), I use k=2 or n=2(2)-1=3 terms. (It's a bit more difficult to distinguish f(t) from the latter because the cosine series converges so much faster.)

5 0
3 years ago
Please help and also include an explanation so I know how you got the answer.
Nastasia [14]

Answer:

x = 15

Step-by-step explanation:

We know that 4x° + 8x° make a straight angle of 180°.

4x° + 8x° = 180°

12x° = 180°

12x = 180

x = 180/12 = 15

4 0
2 years ago
Read 2 more answers
875 rounded to nearest ten
velikii [3]
880
Underline the number in the tens place
look to the right
if number is greater than 5
add 1 to the underlined number
leave the numbers behind the underlined number zero
4 0
2 years ago
Read 2 more answers
Other questions:
  • A rectangle measures 10ft 10in. tall and 2ft 11 in wide. what is the area of the rectangle?
    12·1 answer
  • Simplify the following equation. 4x + 2 = 8x - 5
    7·1 answer
  • When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exp
    10·1 answer
  • $6 off the regular price of $40. What percent did she save?
    8·1 answer
  • a fisherman positions his net to -8 feet relative to the surface of the water. how far does he need to raise his net to bring it
    15·1 answer
  • X=2 And x+3^2 I do not understand
    7·1 answer
  • Solve the inequality for x. <br> - 2 x - 10 ≥ 4
    5·1 answer
  • PLEASE HELP!! USATESTPREP
    5·1 answer
  • What’s the answer? ANSWER THIS NOW PLEASE
    6·2 answers
  • Anjana has 4 pencil in her box. Their average length is 10cm. Which of the following is NOT POSSIBLE? A) The shortest pencil in
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!