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
andriy [413]
3 years ago
15

A hamster runs in its wheel whose radius is 3 inches. The wheel completes 7.3 revolutions in 6 seconds.

Mathematics
1 answer:
Vikentia [17]3 years ago
7 0
Answer: Linear speed is 22.6 in/sec
Explanation: 1.2•18.8= 22.6
I got those numbers by dividing 7.3 in 6 and got the 1.2 rev/sec.
Radius= 2pi ( 3in)= 18.8
You might be interested in
there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth
aliina [53]

Answer:


Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 29 is what percent of 36


100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556


now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0
3 years ago
What property is this? (3x+12y)+(10x-5y)
SpyIntel [72]

Answer:

Assciates Property

Step-by-step explanation:

look at the picture above

6 0
3 years ago
x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
Please explain your answer
Ymorist [56]

Answer:

51

Step-by-step explanation:

11+(-7)^2-9 - original

11+49-9 - square the -7, since its in brackets the negative applies too and a negative x a negative = positive, so it ends up as 7x7+49

60-9 - add both positives 11+49=60

51 - subtract 9 from 60, 60-9=51

7 0
3 years ago
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Mashcka [7]

Answer:

6.1 ⋅ 10^{3}

Step-by-step explanation:

i think smh

7 0
3 years ago
Read 2 more answers
Other questions:
  • 1. At the Jackson Concrete Company, the regular work week is 40 hours. If an employee works more than 40 hours per week they are
    13·1 answer
  • An angle theta is in​ ________ _______ if its vertex is at the origin of a rectangular coordinate system and its initial side co
    12·1 answer
  • The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.
    6·1 answer
  • Carly is a catcher on the school softball team. By the end of the season she played 45% of the 40 games the team played. In how
    5·2 answers
  • Which of the following are quadratic functions A. Y =5x-3/2+x^2 B. Y=x^2+5x-2 C. Y=-x+2 D. Y=x-1/x
    12·2 answers
  • The plot shown below describes the relationship between student scores on the first exam in a class and their corresponding scor
    12·1 answer
  • PLEASE HELPPPPPPPPPPPP
    5·2 answers
  • Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto
    14·1 answer
  • Lewis had a six-sided dice numbered from 1 to 6. He rolled it a total of 50 times. It landed on an odd number 22 times. a) Work
    11·1 answer
  • The Mariana Trench is 11 km below sea level. The Japan Trench is 9 km below sea level. What is the difference of depths between
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!