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
taurus [48]
3 years ago
6

13. If x + y + z-0 then x+y+z'is equal to:(a) 3xyz(b) - 3xyz(c) xy(d)-2xy​

Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

a

Step-by-step explanation:

(x³ + y³ +z³) - 3xyz = (x + y + z )(x² +y² +z² - xy -yz - zx)

If x +y + z = 0, then

(x³ + y³ +z³) - 3xyz = 0 *(x² +y² +z² - xy -yz - zx)

(x³ + y³ +z³) - 3xyz = 0

(x³ + y³ +z³)  =  3xyz

You might be interested in
If = {2,12,19,23,29} and b={2,23,34,40,45} then what is A∩B
exis [7]

9514 1404 393

Answer:

  A∩B = {2, 23}

Step-by-step explanation:

The intersection of two sets is the list of elements common to both.

  2 is found in both

  12, 19 are only in set A

  23 is found in both

  29 is only in set A

  34, 40, 45 are only in set B

The intersection of the two sets is {2, 23}.

8 0
2 years ago
A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer
choli [55]
<h2>Answer:</h2>

The area of the top surface of the washer is:  160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus  with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

Area=\pi (R^2-r^2)

where R is the outer radius and r is the inner radius.

Here we have:

R=10\ mm\\\\and\\\\r=7\ mm

Hence, we have:

Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2

4 0
3 years ago
Read 2 more answers
The bells obtain a 20-year, $90,000 conventional mortgage at a 8.5% rate on a house selling for $130,000. their monthly mortgage
shtirl [24]
I think the answer is B
3 0
2 years ago
If (5^2)p = 5^12, what is the value of p?
mr Goodwill [35]
Divide both sides by 5^2 (which is 25). So p = (5^12)/25. I can't be bothered to plug in into a calculator but be my guest.
3 0
3 years ago
Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'
vodka [1.7K]

Answer:

a) v(t) =x'(t) = \frac{dx}{dt} = 3t^2 -12t +9

a(t) = x''(t) = v'(t) =6t-12

b)  0

c) a(t) = x''(t) = v'(t) =6t-12

When the acceleration is 0 we have:

6t-12=0, t =2

And if we replace t=2 in the velocity function we got:

v(t) = 3(2)^2 -12(2) +9=-3

Step-by-step explanation:

For this case we have defined the following function for the position of the particle:

x(t) = t^3 -6t^2 +9t -5 , 0\leq t\leq 10

Part a

From definition we know that the velocity is the first derivate of the position respect to time and the accelerations is the second derivate of the position respect the time so we have this:

v(t) =x'(t) = \frac{dx}{dt} = 3t^2 -12t +9

a(t) = x''(t) = v'(t) =6t-12

Part b

For this case we need to analyze the velocity function and where is increasing. The velocity function is given by:

v(t) = 3t^2 -12t +9

We can factorize this function as v(t)= 3 (t^2- 4t +3)=3(t-3)(t-1)

So from this we can see that we have two values where the function is equal to 0, t=3 and t=1, since our original interval is 0\leq t\leq 10 we need to analyze the following intervals:

0< t

For this case if we select two values let's say 0.25 and 0.5 we see that

v(0.25) =6.1875, v(0.5)=3.75

And we see that for a=0.5 >0.25=b we have that f(b)>f(a) so then the function is decreasing on this case.  

1

We have a minimum at t=2 since at this value w ehave the vertex of the parabola :

v_x =-\frac{b}{2a}= -\frac{-12}{2*3}= -2

And at t=-2 v(2) = -3 that represent the minimum for this function, we see that if we select two values let's say 1.5 and 1.75

v(1.75) =-2.8125< -2.25= v(1.5) so then the function sis decreasing on the interval 1<t<2

2

We see that the function would be increasing.

3

For this interval we will see that for any two points a,b with a>b we have f(a)>f(b) for example let's say a=3 and b =4

f(a=3) =0 , f(b=4) =9 , f(b)>f(a)

The particle is moving to the right then the velocity is positive so then the answer for this case is: 0

Part c

a(t) = x''(t) = v'(t) =6t-12

When the acceleration is 0 we have:

6t-12=0, t =2

And if we replace t=2 in the velocity function we got:

v(t) = 3(2)^2 -12(2) +9=-3

5 0
3 years ago
Other questions:
  • What is equivalent to 1/2
    13·1 answer
  • What is 205,890 - (6+1,709)
    5·1 answer
  • What is -3,1,-5,3,-1 from least to greatest?
    10·2 answers
  • Solve the system of linear equations separate the X and Y with, -13 X equals -96 Minus 7Y
    5·1 answer
  • Please please please help me with this
    15·1 answer
  • You deposit $100 in a savings account. The account earns 11% simple interest per year.
    6·1 answer
  • A gaint kite is contrstrused using bamboo for the edges and diagonals and card for sail. When mapped on the diagram, the ends ar
    13·1 answer
  • Am I correct? If not which of the answers is correct?
    10·1 answer
  • HELP AND YOU WILL GET BRAINLIEST!!!!!!!!
    6·2 answers
  • The high temperature on a cold winter day was 20°F and the low temperature was –15°F. How much higher was the high temperature t
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!