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
Schach [20]
3 years ago
8

Simplify (-7÷8)(-3÷4)

Mathematics
2 answers:
Nastasia [14]3 years ago
3 0
Exact from: 21/32
Decimal form: 0.65625
ikadub [295]3 years ago
3 0
-0.875 * -0.75 = 0.65625
You might be interested in
For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential f
Phantasy [73]

The key idea is that, if a vector field is conservative, then it has curl 0. Equivalently, if the curl is not 0, then the field is not conservative. But if we find that the curl is 0, that on its own doesn't mean the field is conservative.

1.

\mathrm{curl}\vec F=\dfrac{\partial(5x+10y)}{\partial x}-\dfrac{\partial(-6x+5y)}{\partial y}=5-5=0

We want to find f such that \nabla f=\vec F. This means

\dfrac{\partial f}{\partial x}=-6x+5y\implies f(x,y)=-3x^2+5xy+g(y)

\dfrac{\partial f}{\partial y}=5x+10y=5x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\implies g(y)=5y^2+C

\implies\boxed{f(x,y)=-3x^2+5xy+5y^2+C}

so \vec F is conservative.

2.

\mathrm{curl}\vec F=\left(\dfrac{\partial(-2y)}{\partial z}-\dfrac{\partial(1)}{\partial y}\right)\vec\imath+\left(\dfrac{\partial(-3x)}{\partial z}-\dfrac{\partial(1)}{\partial z}\right)\vec\jmath+\left(\dfrac{\partial(-2y)}{\partial x}-\dfrac{\partial(-3x)}{\partial y}\right)\vec k=\vec0

Then

\dfrac{\partial f}{\partial x}=-3x\implies f(x,y,z)=-\dfrac32x^2+g(y,z)

\dfrac{\partial f}{\partial y}=-2y=\dfrac{\partial g}{\partial y}\implies g(y,z)=-y^2+h(y)

\dfrac{\partial f}{\partial z}=1=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=z+C

\implies\boxed{f(x,y,z)=-\dfrac32x^2-y^2+z+C}

so \vec F is conservative.

3.

\mathrm{curl}\vec F=\dfrac{\partial(10y-3x\cos y)}{\partial x}-\dfrac{\partial(-\sin y)}{\partial y}=-3\cos y+\cos y=-2\cos y\neq0

so \vec F is not conservative.

4.

\mathrm{curl}\vec F=\left(\dfrac{\partial(5y^2)}{\partial z}-\dfrac{\partial(5z^2)}{\partial y}\right)\vec\imath+\left(\dfrac{\partial(-3x^2)}{\partial z}-\dfrac{\partial(5z^2)}{\partial x}\right)\vec\jmath+\left(\dfrac{\partial(5y^2)}{\partial x}-\dfrac{\partial(-3x^2)}{\partial y}\right)\vec k=\vec0

Then

\dfrac{\partial f}{\partial x}=-3x^2\implies f(x,y,z)=-x^3+g(y,z)

\dfrac{\partial f}{\partial y}=5y^2=\dfrac{\partial g}{\partial y}\implies g(y,z)=\dfrac53y^3+h(z)

\dfrac{\partial f}{\partial z}=5z^2=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=\dfrac53z^3+C

\implies\boxed{f(x,y,z)=-x^3+\dfrac53y^3+\dfrac53z^3+C}

so \vec F is conservative.

4 0
3 years ago
If y-18=14 what is the value of 3(y+5)?
svlad2 [7]
y-18=14\ \ \ /+18\\\\y-18+18=14+18\\\\y=32\\\\substitute\ to\ 3(y+5):\\\\3\cdot(32+5)=3\cdot37=111
4 0
3 years ago
A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What
eimsori [14]

Answer:

0.48

Step-by-step explanation:

Given the data:

X:

10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98

Sum of each of the numbers :

1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17

Probability that sum of the number's digit is odd:

Number of odd sum / total numbers

Number of odd sum = 12

Total numbers = 25

12 / 25

= 0.48

3 0
3 years ago
Which expression is equivalent to 5y (8y-3)?
gavmur [86]
D. You times 5y by 8y then 3
7 0
3 years ago
Read 2 more answers
(x 2 + 2x - 1)(x 2 + 2x + 5) find product
tankabanditka [31]

Answer:

x^4+4x^3+8x^2+8x-5

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Solve the system by graphing y=2x+3 y=-4x+9
    10·1 answer
  • Which are vertical angles?
    10·2 answers
  • What is the solution to this system of equations? 5x + 2y = 29 x + 4y = 13 A. x = 5, y = 3 B. x = 2, y = 5 C. x = 5, y = 2 D. x
    7·2 answers
  • Find the general solution of the differential equation. (Use C for any needed constant.) dy dx = 1 − y
    13·1 answer
  • Christopher withdrew 30 United States dollars (USD) from an automatic teller machine in Germany. He received 24 euros (EUR). Whi
    15·1 answer
  • Need help!!!! asap. ​
    8·1 answer
  • a clothing store offers very often various promotions to attract customers but wants to maintain the same amount of profit to do
    6·1 answer
  • THE SIDES OF A TRIANGLE ARE IN THE RATIO 4:4:3. A.WHAT KIND OF TRIANGLE IS IT? B. CALCULATE THE SMALLEST ANGLE OF THE TRIANGLE T
    11·1 answer
  • Select all of the categories of numbers which contain the number negative 3
    5·1 answer
  • Rq (9^2)^5=??
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!