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
Korvikt [17]
3 years ago
12

I need help with this question.

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

2 1/8 is located on the first line after 2 and 1 3/4 i think is located on the 3rd line after one

Step-by-step explanation:

You might be interested in
How to know if a function is periodic without graphing it ?
zhenek [66]
A function f(t) is periodic if there is some constant k such that f(t+k)=f(k) for all t in the domain of f(t). Then k is the "period" of f(t).

Example:

If f(x)=\sin x, then we have \sin(x+2\pi)=\sin x\cos2\pi+\cos x\sin2\pi=\sin x, and so \sin x is periodic with period 2\pi.

It gets a bit more complicated for a function like yours. We're looking for k such that

\pi\sin\left(\dfrac\pi2(t+k)\right)+1.8\cos\left(\dfrac{7\pi}5(t+k)\right)=\pi\sin\dfrac{\pi t}2+1.8\cos\dfrac{7\pi t}5

Expanding on the left, you have

\pi\sin\dfrac{\pi t}2\cos\dfrac{k\pi}2+\pi\cos\dfrac{\pi t}2\sin\dfrac{k\pi}2

and

1.8\cos\dfrac{7\pi t}5\cos\dfrac{7k\pi}5-1.8\sin\dfrac{7\pi t}5\sin\dfrac{7k\pi}5

It follows that the following must be satisfied:

\begin{cases}\cos\dfrac{k\pi}2=1\\\\\sin\dfrac{k\pi}2=0\\\\\cos\dfrac{7k\pi}5=1\\\\\sin\dfrac{7k\pi}5=0\end{cases}

The first two equations are satisfied whenever k\in\{0,\pm4,\pm8,\ldots\}, or more generally, when k=4n and n\in\mathbb Z (i.e. any multiple of 4).

The second two are satisfied whenever k\in\left\{0,\pm\dfrac{10}7,\pm\dfrac{20}7,\ldots\right\}, and more generally when k=\dfrac{10n}7 with n\in\mathbb Z (any multiple of 10/7).

It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when k is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.

Let's verify:

\sin\left(\dfrac\pi2(t+20)\right)=\sin\dfrac{\pi t}2\underbrace{\cos10\pi}_1+\cos\dfrac{\pi t}2\underbrace{\sin10\pi}_0=\sin\dfrac{\pi t}2

\cos\left(\dfrac{7\pi}5(t+20)\right)=\cos\dfrac{7\pi t}5\underbrace{\cos28\pi}_1-\sin\dfrac{7\pi t}5\underbrace{\sin28\pi}_0=\cos\dfrac{7\pi t}5

More generally, it can be shown that

f(t)=\displaystyle\sum_{i=1}^n(a_i\sin(b_it)+c_i\cos(d_it))

is periodic with period \mbox{lcm}(b_1,\ldots,b_n,d_1,\ldots,d_n).
4 0
3 years ago
If EF=2x-12, FG= 3x-15, and EG=23, find values of x, EF, and FG
velikii [3]

we have that


*-------------------------*--------------------------------*

E                            F                                     G


EF=2x-12

FG= 3x-15

EG=23


we know that


EF + FG = EG


so

[2x - 12] + [3x - 15] = 23 simplify

5x - 27 = 23 add 27 to both sides

5x = 50 divide both sides by 5

x = 10

EF=2x-12-------> EF=2*10-12-------> EF=8

FG= 3x-15------> FG=3*10-15------> FG=15



therefore


the answer part a) is

the value of x is 10


the answer part b) is

the value of EF is 8


the answer part c) is

the value of FG is 15

6 0
3 years ago
A 12- ounce bag of birdseed cost $3.12. A 16-ounce bag of birdseed cost $3.84. Which is the better deal. How much money do you s
OlgaM077 [116]

Answer:

16oz bag, $0.32 saved

Step-by-step explanation:

3.12/12 = 0.26

3.84/16 = 0.24

For the 12-ounce bag, it would be $0.26 per ounce. For the 16-ounce bag, it would only be $0.24 per ounce.

16*0.26=4.16

4.16 - 3.84 = 0.32

$0.38 saved

6 0
3 years ago
What is the fractional value for pi?
irina1246 [14]
Pie equals 3.14 so if you turn that into a fraction you will get your answer
5 0
3 years ago
Read 2 more answers
Please decrease 90 by 20%
Mashcka [7]

Answer:

Step-by-step explanation:

90 by 20%

10%=9

20%=18

90-18=62

Hope u understand

4 0
3 years ago
Other questions:
  • You already owe $4.32 in overdue rental fees and are returning a movie that is 4 days late. Now you owe $6.48. How much is the d
    6·1 answer
  • a furniture store sells 48 tables for every 60 chairs in a given week. what is the unit rate of tables to chairs? reduce the uni
    14·2 answers
  • 8+9x1x2 to the second power it has the 2 above the 2 but I just can't put it there on this
    12·1 answer
  • Ram’s father is 38 years old. His age is three more than five times the age
    15·1 answer
  • In the town of Milton Lake, the percentage of women who smoke is increasing while the percentage of men who smoke is decreasing.
    11·1 answer
  • Complete the statement.<br> -6/7 -3/7<br> &lt; &gt;
    14·1 answer
  • Which of the following is equivalent to<br> 2/3 divided by 5/6
    14·2 answers
  • Any help is appreciated
    10·1 answer
  • 5+877-6748+8478-7787hhhbyhhybttghhb
    12·2 answers
  • A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!