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
blondinia [14]
3 years ago
11

Susie has 8 pieces of string. 3 pieces are 7.8 inches long, and 5 pieces are 9.2 inches long. How many inches of string does Sus

ie have altogether
Mathematics
2 answers:
Elina [12.6K]3 years ago
5 0

Answer:

64.9

Step-by-step explanation:

3 * 7.8 = 23.4

5 * 9.2 = 46

23.4 + 46 = 64.9 inches

Allisa [31]3 years ago
4 0

(3*7.8)+(5*9.2)=69.4

Answer: 69.4 inches of string

You might be interested in
Find the Y intercept of the graph
zhenek [66]

Answer:

6

Step-by-step explanation:

The intercept would be 6 because that's the point on the Y line or the line going vertically.    

8 0
2 years ago
To convert gallons to quarts, multiply by the conversion rate of 4qt /1gal <br><br> true or false
erma4kov [3.2K]
The answer is 100% TRUE
5 0
3 years ago
How do you write expression 5/6 using a fraction
Luden [163]

Answer:

5/6

Step-by-step explanation:

it is already written as a fraction.

do you mean as a decimal???

6 0
3 years ago
Find the function y1 of t which is the solution of 121y′′+110y′−24y=0 with initial conditions y1(0)=1,y′1(0)=0. y1= Note: y1 is
strojnjashka [21]

Answer:

Step-by-step explanation:

The original equation is 121y''+110y'-24y=0. We propose that the solution of this equations is of the form y = Ae^{rt}. Then, by replacing the derivatives we get the following

121r^2Ae^{rt}+110rAe^{rt}-24Ae^{rt}=0= Ae^{rt}(121r^2+110r-24)

Since we want a non trival solution, it must happen that A is different from zero. Also, the exponential function is always positive, then it must happen that

121r^2+110r-24=0

Recall that the roots of a polynomial of the form ax^2+bx+c are given by the formula

x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}

In our case a = 121, b = 110 and c = -24. Using the formula we get the solutions

r_1 = -\frac{12}{11}

r_2 = \frac{2}{11}

So, in this case, the general solution is y = c_1 e^{\frac{-12t}{11}} + c_2 e^{\frac{2t}{11}}

a) In the first case, we are given that y(0) = 1 and y'(0) = 0. By differentiating the general solution and replacing t by 0 we get the equations

c_1 + c_2 = 1

c_1\frac{-12}{11} + c_2\frac{2}{11} = 0(or equivalently c_2 = 6c_1

By replacing the second equation in the first one, we get 7c_1 = 1 which implies that c_1 = \frac{1}{7}, c_2 = \frac{6}{7}.

So y_1 = \frac{1}{7}e^{\frac{-12t}{11}} + \frac{6}{7}e^{\frac{2t}{11}}

b) By using y(0) =0 and y'(0)=1 we get the equations

c_1+c_2 =0

c_1\frac{-12}{11} + c_2\frac{2}{11} = 1(or equivalently -12c_1+2c_2 = 11

By solving this system, the solution is c_1 = \frac{-11}{14}, c_2 = \frac{11}{14}

Then y_2 = \frac{-11}{14}e^{\frac{-12t}{11}} + \frac{11}{14} e^{\frac{2t}{11}}

c)

The Wronskian of the solutions is calculated as the determinant of the following matrix

\left| \begin{matrix}y_1 & y_2 \\ y_1' & y_2'\end{matrix}\right|= W(t) = y_1\cdot y_2'-y_1'y_2

By plugging the values of y_1 and

We can check this by using Abel's theorem. Given a second degree differential equation of the form y''+p(x)y'+q(x)y the wronskian is given by

e^{\int -p(x) dx}

In this case, by dividing the equation by 121 we get that p(x) = 10/11. So the wronskian is

e^{\int -\frac{10}{11} dx} = e^{\frac{-10x}{11}}

Note that this function is always positive, and thus, never zero. So y_1, y_2 is a fundamental set of solutions.

8 0
2 years ago
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which ineq
vredina [299]

Answer:

0.41<3.40/x<0.50

Step-by-step explanation:

Given that the cost of one pound of bananas is greater than $0.41 and less than $0.50. That is,

If the cost of one banana is P, then, the inequality will be

0.41 < P < 0.50

Sarah pays $3.40 for x pounds of bananas. The inequality that represents the range of possible pounds purchased will be achieved by below

3.40/0.41 = 8.29

3.40/0.50 = 6.8

Therefore, the inequality that represents the range of possible pounds purchased is

6 < x < 9 this is the same as 0.41<3.40/x<0.50

6 0
3 years ago
Other questions:
  • All real numbers more than 4 units from 6 (in an absolute value inequality)
    13·1 answer
  • if a university want to maintain a 14:1 ration between students and teachers, how many teachers would be needed to accommodate 8
    9·2 answers
  • Which set or sets does the number 15 belong to
    8·2 answers
  • Find u * v, if u= 12j and v = i + 5j<br> a (1,60)<br> b (0,60)<br> c -60<br> d 60
    7·2 answers
  • #2 Which best represents the area of a circle with a radius of 12 inches? *
    11·1 answer
  • Help me with this please
    14·1 answer
  • Show that if x,y,z and w are the first four terms of an arithmetic sequence, then x+w-y=z
    12·2 answers
  • I NEED HELPPP PLEASE
    7·1 answer
  • Salma bought  n  packs of pencils. Each pack has  15  pencils. Write an equation to represent the total number of pencils  p  th
    8·1 answer
  • 7,302,601 is what in number in expanded form
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!