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
qaws [65]
2 years ago
5

Factor out the GCF of the polynomial down below:

Mathematics
1 answer:
Yuliya22 [10]2 years ago
7 0
Answer: 2x^3


Reasoning: balance out the numbers


Mark brainliest please
You might be interested in
Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve.
const2013 [10]

Answer:

a.

T(t) = ( -sin(t^2), cos(t^2) )\\\\N(t) = T'(t) / |T'(t) |  =   (-cos(t^2) , -sin(t^2))

b.

T(t) =r'(t)/|r'(t)| =  (2t/ \sqrt{4t^2   + 36} , -6/\sqrt{4t^2   + 36},0)

N(t) =T(t)/|T'(t)| =  (3/(9 + t^2)^{1/2} , t/(9 + t^2)^{1/2},0)

Step-by-step explanation:

Remember that for any curve      r(t)  

The tangent vector is given by

T(t) = \frac{r'(t) }{| r'(t)| }

And the normal vector is given by

N(t) = \frac{T'(t)}{|T'(t)|}

a.

For this case, using the chain rule

r'(t) = (  -10*2tsin(t^2) ,   102t cos(t^2)   )\\

And also remember that

|r'(t)| = \sqrt{(-10*2tsin(t^2))^2  +  ( 10*2t cos(t^2) )^2} \\\\       = \sqrt{400 t^2*(  sin(t^2)^2  +  cos(t^2) ^2 })\\=\sqrt{400t^2} = 20t

Therefore

T(t) = r'(t) / |r'(t) | =  (  -10*2tsin(t^2) ,   10*2t cos(t^2)   )/ 20t\\\\ = (  -10*2tsin(t^2)/ 20t ,   10*2t cos(t^2) / 20t  )\\= ( -sin(t^2), cos(t^2) )

Similarly, using the quotient rule and the chain rule

T'(t) = ( -2t cos(t^2) , -2t sin(t^2))

And also

|T'(t)| = \sqrt{  ( -2t cos(t^2))^2 + (-2t sin(t^2))^2} = \sqrt{ 4t^2 ( ( cos(t^2))^2 + ( sin(t^2))^2)} = \sqrt{4t^2} \\ = 2t

Therefore

N(t) = T'(t) / |T'(t) |  =   (-cos(t^2) , -sin(t^2))

Notice that

1.   |N(t)| = |T(t) | = \sqrt{ cos(t^2)^2  + sin(t^2)^2 } = \sqrt{1} =  1

2.   N(t)*T(T) = cos(t^2) sin(t^2 ) - cos(t^2) sin(t^2 ) = 0

b.

Simlarly

r'(t) = (2t,-6,0) \\

and

|r'(t)| = \sqrt{(2t)^2   + 6^2} = \sqrt{4t^2   + 36}

Therefore

T(t) =r'(t)/|r'(t)| =  (2t/ \sqrt{4t^2   + 36} , -6/\sqrt{4t^2   + 36},0)

Then

T'(t) = (9/(9 + t^2)^{3/2} , (3 t)/(9 + t^2)^{3/2},0)

and also

|T'(t)| = \sqrt{ ( (9/(9 + t^2)^{3/2} )^2 +   ( (3 t)/(9 + t^2)^{3/2})^2  +  0^2 }\\= 3/(t^2 + 9 )

And since

N(t) =T(t)/|T'(t)| =  (3/(9 + t^2)^{1/2} , t/(9 + t^2)^{1/2},0)

6 0
3 years ago
of the 80 guests invited to a wedding, 28 attended the wedding. What percent of the invited guests attended the wedding?
klasskru [66]

Answer:

35%

Step-by-step explanation:

% of guests who attended the wedding is number of guests who attended the wedding divided by the number of invited guests and the result multiplied by 100%

Therefore

28/80 x 100%

0.35 x 100%

35%

35% of the invited guests attended the wedding

4 0
3 years ago
Evaluate 12 (math).......
Diano4ka-milaya [45]
<span>Evaluating Expressions Using Algebra Calculator
</span>

First go to the Algebra Calculator main page.

Type the following:

<span><span>First type the expression 2x.</span><span>Then type the @ symbol.</span><span>Then type x=3.</span></span><span>Try it now: </span><span>2x @ x=3</span>
5 0
3 years ago
Help me decrease 25 by 30%
Marysya12 [62]

Step-by-step explanation:

Percentage decrease = 30% × 25

New value = 25 - Percentage decreaseNew value =

25 - Percentage decrease =

25 - (30% × 25) =

25 - 30% × 25 =

(1 - 30%) × 25 =

(100% - 30%) × 25 =

70% × 25 =

70 ÷ 100 × 25 =

70 × 25 ÷ 100 =

1,750 ÷ 100 =

17.5

Absolute change (actual difference) =

New value - 25 =

17.5 - 25 =

- 7.5

8 0
3 years ago
Read 2 more answers
The difference between 3.6 and a number is 2.95, as shown below. What number should go in the box to complete the subtraction pr
Sophie [7]
The missing number is 6.   3.6-.65 = 2.95
3.6 - 2.95 = .65

Hope it helps ;)))

8 0
3 years ago
Other questions:
  • Solve the proportion 3/x-1=5/7
    13·1 answer
  • Find the second consecutive even<br> integer if the sum of the first and the<br> third is 40.
    7·1 answer
  • Label the place value 12,354,897
    13·2 answers
  • ​f(x)equals9 x minus 9
    5·2 answers
  • for one roll of die, let a be the event "even" and let b be the event "4,6" find the probability p(a)
    11·1 answer
  • If a candy bar costs $0.75, how much would 4 candy bars cost?
    10·2 answers
  • Why is 4 +(-3) equal to 1
    11·2 answers
  • Please help me I'm really stuck lol. I'll give the first correct answer Brainliest!
    9·1 answer
  • X − 7y = 8 for x. and the choices are
    7·1 answer
  • Find the distance from roller coaster 1 to the swings please help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!