Solve the inequality. Graph the solution.
p-4<2


help plz

Answer:

[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Step-by-step explanation:

Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]

We first have to differentiate of equation [tex](i)[/tex]

[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]

Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]

[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]

            [tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex]        [∵[tex]e^{lna}=a[/tex]]

Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.

[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]

             [tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]

             [tex]= \sqrt{\frac{145}{2} }[/tex]

Now we can find the our unit tangents vector.

      [tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]

                  [tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]

                  [tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]

                   [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Answer:

I believe it is the last choice

Step-by-step explanation:

square have equal sides      area= length x width

9x9=81

6x6=36

9 to power 2 is 81

6 to power 2 is 36

So the equation is 81-36

Answer: its the last choice i literally just took that test

Step-by-step explanation:

Given :

Total amount paid for the car is, A = $20,500.

Sales tax is 6.5%.

To Find :

The list price i.e. price without tax.

Solution :

Let, list price is P.

P = A - 0.65A

P = A( 1 - 0.65 )

P = 20500×( 1 - 0.065 )

P = $19167.5

Therefore, the list price of car is $19167.5  .

Answer: b there are 12flasses

Step-by-step explanation:

Answer:

32x-96

Step-by-step explanation:

8 · 4x = 32x

8 · 12 = 96

Answer:

a)

i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.

ii) Each digit is set to 1 or 0 for exactly half of all combinations.  This means that half of all strings, or 256 / 2 = 128 strings end with a zero.

iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit.  If you consider:

Half of all digits will have the second bit set to 1

Half of all digits will have the fourth bit set to 1

Half of those will overlap

Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4

iv) This is a duplicate of iii, so again, 192

b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used.  We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696

c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24

Answer:

never:)

Step-by-step explanation:

Answer:

Never! You are loved and have a purpose in life. Times may be hard at the moment but everything will get better.

Step-by-step explanation:

Answer:

i think it 0.4%

Step-by-step explanation:

Answer:

76×5+4

380+4=384

Answer:

it's true. because it has more type of sums and head pain will come

Answer:

When two equations have the same slope but different y-axis, they are parallel. Since the two equations never intersect, the system has no solutions.

you can decide your answer from that explanation!

New cost = original price x (1 + markup)

New cost = 29.95 x ( 1 + 0.20)

New cost = $35.94

Answer:35

Step-by-step explanation:

35x93/100=32.55

32.55x107/100=35

Answer: (3)(−17.25) = −51.75; he withdrew $51.75

Step-by-step explanation:

hope it helped xx

Answer:

You need to attach something to this?

Step-by-step explanation:

I could help you but theres nothing here to see?

Answer:

5 feet = 152.4 centimeters      10 inches =25.4

Step-by-step explanation:

I learned from my classes of how to convert feet to centimeters and etc.

Answer: 15b^9

Explanation:

-5*-3=15

b^3*b^6=b^9

Answer:

399

Step-by-step explanation:

Zach has 21 * 19 marbles

Answer:

zach has 399 marbles

Step-by-step explanation:

according to the caluation

The algebraic expression is 0.3G+25F

An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.  

First, we can use G to represent green house flowers and F to represent ferns.

Then thirty percent of the green house flower can be represented by 0.3G.

25 ferns can be written as 25F.

The algebraic expression for the given verbal description is 0.3G+25F.

To learn more about algebraic expressions, use the below link:

https://brainly.com/question/953809

#SPJ5

Answer:

A   A  B

Step-by-step explanation:

Answer:

i think it is 3.5 and 3

Step-by-step explanation:

Answer:

2y-4x+6x

=2y+2x

Step-by-step explanation:

Answer:

2x+2y

Step-by-step explanation:

Let's simplify step-by-step.

3y−4x+6x−y

=3y+−4x+6x+−y

Combine Like Terms:

=3y+−4x+6x+−y

=(−4x+6x)+(3y+−y)

=2x+2y