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
Naddik [55]
3 years ago
12

Which phrase describes the variable expression m + 5

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

b) five more than m

"m in addition to 5"= m+5

You might be interested in
Find the common difference: 29, 21, 13, 5, ...<br> Find
nexus9112 [7]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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
If a test has 95 questions how many points would each question be worth?
natita [175]
100/95= 1.05. Each question worth 1.1 rounded. You could miss 19 but if you miss 20 you go under 80.
7 0
3 years ago
Can someone help me please.
Ket [755]

Answer:

28. the second and third one

29. 687.50 dollars

Step-by-step explanation:

2.49(2) + 1.79(2) + 0.89(4) = 12.12 no

2.49(3) + 1.79(2) = 11.05 yes

2.49(2) + 1.79(3) + 0.89 = 11.24 yes

2.49(4) + 1.79 + 0.89 = 12.64 no


area = length times width

a = 6.25 times 5

a = 31.25 square feet

31.25(22) = 687.50

3 0
3 years ago
A noncontinuous loop that prevents the flow of current is a(n)<br> circuit.
Anastaziya [24]

Answer:

It is an open circuit, yes

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Sam draws three pairs of vertical angles and measures them. What is a reasonable conjecture for Sam to make by recognizing a pat
    6·2 answers
  • What is the intersection of plane STXW and plane SVUT
    5·1 answer
  • A Step 1<br>B Step 2 <br>C Step 3
    11·1 answer
  • How do you turn 0.8 into a fraction
    6·2 answers
  • What’s the complement for 12 degrees
    6·1 answer
  • If a customer bought an item that had a full price of $775 from a retailer, how much in total will the retailer receive in the e
    14·2 answers
  • Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought?
    7·2 answers
  • If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?
    11·1 answer
  • Kenneth has 22 math problems to do for homework. He
    9·1 answer
  • Please help!!! What is the slope of a line perpendicular to the following line:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!