Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. Find the velocities

Answers

Answer 1

Step-by-step explanation:

Given that,

The positions of the first particle,[tex]s_1=4t-t^2[/tex]

Velocity,

[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]

Position,

[tex]s_2=5t^2-t^3[/tex]

[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]

Hence, this is the required solution.


Related Questions

solve: − <− + 7( − 2)
(show your work)

Answers

Answer:

hope it helps.

stay safe healthy and happy...

A claim is reviewed for MOHS surgery on the foot that was performed in 1 stage with 6 tissue blocks. The claim was reported with 17311, 17312-51, 17312-51. Is this correct

Answers

Answer:

17311, 17315  

Step-by-step explanation:

Explanation,

Mohs surgery, also known as chemosurgery, created by a general surgeon, Dr. Frederic E. Mohs, is performed to remove complex or ill-defined cutaneous malignancy.

List Of CPT Codes For Mohs Surgery

CPT Code 17311 and CPT Code 17313 are the base codes for the range of this surgery. CPT Code 17312, CPT Code 17314, and CPT Code 17315 are the add-on codes for this range.

Description Of CPT Code 17311

Moh’s micrographic technique, including removal of all gross tumor, surgical excision to tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stain(s) (eg. Hematoxylin and eosin, toluidine blue), head, neck, hands, feet genitalia, or any location with surgery directly involving muscle, cartilage, bone, tendon, major nerves, or vessels; first stage, up to 5 tissue blocks

Description Of CPT Code 17315 (addon)

CPT Code 17315 may be used to report each block after the first 5 blocks for any single-stage.

Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), each additional block after the first 5 tissue blocks, any stage (List separately in addition to code for primary procedure)

Extras

Description Of CPT Code 17312 (addon)

Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure)

Description of CPT Code 17313

Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), of the trunk, arms, or legs; first stage, up to 5 tissue blocks

Description Of CPT Code 17314 (addon)

Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure).

Question is in the photo*

Answers

Answer:

3x - y +5=0

Step-by-step explanation:

Slope:-

=> m = 2-8/-1-1 = -6/-2

=> m = 3

Using point slope form :-

=> y - 2 = 3 ( x - (-1))

=> y - 2 = 3x + 3

=> 3x - y +5 = 0

Answer:

y=3x+5

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

from the coordinates you are given x one is -1,x two is1,y one is 2,y two is 8

8-2/1-(-1)

=3

therefore the gradient is 3

after finding the gradient use the equation

y-y1=m(x-x1)

substitute x1,y1 and the gradient..y and x are constant

y-2=3(x-(-1))

y-2=3x+3

y=3x+3+2

y=3x+5

If < A and < B are vertical angles, and < A is 43 ° , then what is the measure of < B?

Select one:
a. 47 °
b. 137 °
c. 21 °
d. 43 °

Answers

Answer:

d

Step-by-step explanation:

vertical angles are congruent , so

∠ B = ∠ A  = 43°

what s the equation of the line through the origin and (-2, 3)

Answers

Answer:

y=[tex]\frac{-3x}{2}[/tex]

Step-by-step explanation:

Hi there!

We need to find the equation of the line that passes through the origin (the point (0,0)) and (-2,3)

There are 3 ways to write the equation of the line, although the most common way is slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

So we need to find the slope of the line first

The formula for the slope (m) calculated from two points [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

We have the needed information to calculate the slope, but let's label the values of the points to avoid any confusion

[tex]x_{1}[/tex]=0

[tex]y_{1}[/tex]=0

[tex]x_{2}[/tex]=-2

[tex]y_{2}[/tex]=3

Now substitute their values into the equation and find m

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m=[tex]\frac{3-0}{-2-0}[/tex]

subtract

m=[tex]\frac{3}{-2}[/tex]

so the slope of the line is [tex]\frac{3}{-2}[/tex]. It can also be rewritten as [tex]\frac{-3}{2}[/tex]

Here is the equation of the line so far:

y=[tex]\frac{-3x}{2}[/tex]+b

we need to find b

As the equation passes through both (0,0) and (-2,3), we can use either one of them to solve for b

Let's take (0,0) for this case

Substitute 0 as x and 0 as y

0=-[tex]\frac{3}{2}[/tex](0)+b

multiply

0=0+b

add 0 to both sides

0=b

So b is 0

The equation of the line therefore is y=[tex]\frac{-3x}{2}[/tex]

Hope this helps!

I have like no clue what this means, please help! :)

Answers

Answer:

1/9

You are being asked to "complete the square"

you need to find a value to make the quadratic a "perfect square:

the focus is -2/3 you need to "add" one half of -2/3 squared to the

equation (1/2 * -2/3)^2 .... (-2/6)^2 .... 4/36 .... 1/9

Step-by-step explanation:

PLZ HELPPP!!!!!!!!!! ASAP

Answers

Answer:

They are consecutive terms in the Fibonacci Sequence.

Step-by-step explanation:

The sequence goes 1,1,2,3,5,8,13,21,...

Since 13 and 21 are consecutive here, that is the answer.

Isabell drove 819 miles in 13 hours. at the same rate how many miles would she drive in 7 hours

Answers

Answer:

441 miles

Step-by-step explanation:

Rate of the Car: 819/13 = 63mph

Miles Driven in 7 Hours: 63*7 = 441 miles

Answer:

441 miles

Step-by-step explanation:

* means multiply

819/13 = x/7

13 * x = 819 * 7

13x = 5733

x = 5733 ÷ 13

x = 441

Choose the answer that is equivalent to the quotient.
(-4x3 + 16x2 21x + 22) divided by (2x – 3)
0-222 +51 - 3+
13
21-3
o 22 – 3+3
O-212 + 52 - 3+
16
21-3
0-222 + 52 - 3

Answers

I believe it would be B sorry if I’m wrong

Find the measure of the missing angle using the exterior angle sum theorm

Answers

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and . We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

[tex]x\approx 49.6^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.

For angle [tex]x[/tex]:

Opposite side is 40Adjacent side is 34

Therefore, we have:

[tex]\tan x^{\circ}=\frac{40}{34}[/tex]

Take the inverse tangent of both sides to solve for [tex]x[/tex]:

[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]

FOR EASY BRAINLIEST ANSWER QUESTION BELOW!

1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition

Answers

Answer:

x > 23/5

Step-by-step explanation:

2x+ 3(x+2)>17

2x + 3x + 6 >17

5x >23

x > 23/5

Find the lenght of x

Answers

Answer:

Answer in on Attached photo.

[tex]\color{red}{==========================}[/tex]

✍︎ʜɴǫɴ

✍︎ʀʀʏɴʟʀɴɪɴɢ

Someone help me with these math problems please
Please

Answers

Answer:

a = 15

34.8 + b = 54.6

Step-by-step explanation:

First one:

5a - 10b = 45  (b = 3)

5a - 10(3) = 45

5a - 30 = 45

5a = 75

a = 15

Second one

b + a + 3a = 54.6

b + 4a = 54.6   ( a = 8.7)

b + 4(8.7) = 54.6

b + 34.8 = 54.6

34.8 + b = 54.6

Answer:

a=15 26.1 + b =54.6

Step-by-step explanation:

for the second question we first multiply 8.7 by 3 which gives us 26.1 and since there is only one answer with 26.1 it's it.

HELP WILL GIVE BRAINLIEST

Answers

Answer:

A.   hexagonal prism

Step-by-step explanation:

The box has 2 congruent hexagons as bases, and 6 congruent rectangles as sides.

Answer: hexagonal prism

Rewrite the equation by completing the square.

Answers

Answer:

4(x - [tex]\frac{1}{2}[/tex] )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )

4(x² - x) + 1 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - x

4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² = 0

Someone please help me ASAP

Answers

Step-by-step explanation:

a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image

Solve for x. Round to the nearest tenth of a degree, if necessary

Answers

Answer is x=50.1

Step 1

Tanx=opposite/adjacent

Step2

Tanx=6.1/5.1

x=arctan(6.1/5.1)

x=50.1

Answer in degrees as required

Find the average rate of change of g(x)= 7x^4+7/x^3 on the interval [2,3]

Answers

7x^4 +7/x^2 on the interval [-2,3]

Someone please help, this is the last question on my assignment, and I really need to get it right! I'll mark brainliest for the best answer ^-^

Answers

Answer:

x + 2

Step-by-step explanation:

im sure its the right answe

using the formula of Sin 2A ,cos2a and tan 2a establish that; tab A is = +- root under 1 - cos 2A by 1 + cos 2a​

Answers

Answer:

Step-by-step explanation:

Given identity is,

[tex]\text{tanA}=\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}[/tex]

To prove this identity, we will take left side of the identity,

[tex]\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}=\pm\sqrt{\frac{1-(1-2\text{sin}^2A)}{1+(2\text{cos}^2A-1)} }[/tex]

                  [tex]=\pm\sqrt{\frac{1-1+2\text{sin}^2A}{1+2\text{cos}^2A-1} }[/tex]

                  [tex]=\pm\sqrt{\frac{2\text{sin}^2A}{2\text{cos}^2A} }[/tex]

                  [tex]=\pm(\sqrt{\text{tan}^2A})[/tex]

                  [tex]=\text{tanA}[/tex] [Right side of the identity]

Hence, proved.

the red line below is perpendicular to which of the following

Answers

The red line is perpendicular to the y-axis.

Please help me with this question.

Answers

Answer:

Step-by-step explanation:

-1 ≤ x < 3    Solution set = {-1, 0 ,1 , 2}

-2 < x < 2   Solution set  = {-1 , 0 , 1}

Integer values that satisfies both inequalities are -1 , 0 , 1

        I \\\\\\\\\   I                                                                                                          

      [-1]          -3                                                                                                                  I   \\\\\\\\\\\   I                                                                                                            -2              2                                                                                                            [tex]\displaystyle\bf x\in[-1;2)\\-1;0;\underline1\\\\Answer: 1[/tex]                                                                                                                                                                                                                                    

Evaluate the function. f(x)=−x^2 −6x+12 Find f(4)

Answers

1. How to find f(4)?

I explained how to find f(5) in your previous question. It is exactly the same. We substitute x = 4 in the equation.

2. Substitution and Evaluate

[tex] \large{f(4) = - {(4)}^{2} - 6(4) + 12} [/tex]

Follow BODMAS/PEMDAS rules as well! Exponent first.

[tex] \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}[/tex]

3. Final Answer

f(4) = -28.

Find the measure of the indicated angle to the nearest degree using trig functions. (if you can also give me step by step on how to get the answer that would be great)


A) 21°
C) 20°
B) 70°
D) 9°

Answers

Answer:

A ; 21

Step-by-step explanation:

Here, the side facing the right angle is the hypotenuse and it has a measure of length 42

The side facing the missing angle is the opposite and it has a length of 15

The trigonometric ratio that connects the hypotenuse and the opposite is the sine

The sine of an angle is the ratio of the opposite to the hypotenuse

Thus;

sine ? = 15/42

sine ? = 0.357

? = arc•sim 0.357

? = 21 degrees

The nth term for the question

Answers

Answer:

Step-by-step explanation:

1) nth therm = dn + (a - d)

-10n + (11+10)

-10n + 21

t11 = -110 + 21 = -89

2) nth therm = 3n + (-66 - 3)

3n - 69

t16 = 48 - 69 = -21

Use the distributive property to write the next step in simplifying the numerical expression. Use the asterisk symbol (*) to represent multiplication. Do not multiply factors fully and do not use spaces. 4(x + 9)​

Answers

Answer:

This is the expression:

4*x+4*9

I had block the instructions but basically it said State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.

Answers

Answer:

Segment XY congruent to Segment IJ is required.

Step-by-step explanation:

It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.

I tried figuring it out but its kinda hard not knowing what to make as an equation?

Answers

Its 7 ft
11ft - 4ft = 7ft

Find the area of a circle with radius, r = 5.72m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.

Answers

Answer:

A≈102.79

Step-by-step explanation:

The formula for area of a circle is πr² so we need to substitute the r by 5.72.

π×5.7² = 102.79 m²

Answer:

Approximately 102.79 meters squared

Step-by-step explanation:

pi times 5.72 meters squared

Hope this helps!

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