What is the velocity vector for a moving particle with a position vector [tex]r(t)=(t,e^t)[/tex]?

[tex](1,e^t)[/tex]

(t, ln(t))

(t^2)/2, e^t

(2, e^t)

Thanks!!

Answers

Answer 1

Answer:

(1, eᵗ)

Step-by-step explanation:

r(t) = (t, eᵗ)

v(t) = dr/dt

v(t) = (1, eᵗ)


Related Questions

How do I Graph y=-2x+5

Answers

Answer:

Slope-Intercept Form y = mx + b

Y = 5

Slope = -2/1

Step-by-step explanation:

Slope-Intercept Form y = mx + b

m = Slope; Rise over Run; Remember there is always an understood 1 in the denominator. If the slope is positive it goes up and to the right and if the slope is negative it goes down and to the right.

b = Y-intercept; This is where the line crosses the y-axis at. If it's positive it's above the x-axis and if negative below.

Lauren is sewing a quilt using fabric squares.

The length of a side of a fabric square is represented by the expression x + 4.
Which expression represents the area of a fabric square?

4x + 6
2x + 8
x + 4
x2 + 8x + 16

Answers

Answer:

x^2 + 8x + 16

Step-by-step explanation:

Given length of square x + 4.

Area of square with side S is given by [tex]S^2[/tex].

Therefore are of square with side x + 4 is given by [tex](x + 4)^2[/tex]

Area of square = [tex](x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16[/tex]

Thus, x2 + 8x + 16 expression represents the area of a fabric square.

Write an inequality for each sentence.
The elephant weighs more than 12,000 pounds.

Answers

Answer:

e > 12000 pounds

Step-by-step explanation:

Since the elephant weighs over 12000 pounds it would not be greater than or equal to or less than or less tan or equal to so

if elephant = e than

e > 12000 pounds

What is the volume? Please answer asap.

Answers

Answer:

20

Step-by-step explanation:

The amount of money that Li spends on video games depends on how
many games he purchases. If Li has at most $90 to spend on games for his
Xbox 360 and the games cost $22.50 each, what is the domain of this
function?

Answers

Answer:

x < 4

Step-by-step explanation:

The function is represented by this equation:

22.5x = y

Where x is the number of games he buys and y is the amount of money that he spends. We know that y cannot be greater than 90, because Li only has 90 dollars. So, if y is less than 90, 22.5x must be less than 90 as well.

22.5x < 90

x < 90/22.5

x < 4

Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. 23 tomatoes had been ruined by bugs. He picked the rest. How many tomatoes did Haruto pick? The answer is tomatoes.

Answers

Answer: 85 hope this helped!

Find the area of the shape

(sorry if im asking too many questions)

Answers

Answer:

E. 54

Step-by-step explanation:

To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.

Answer:54 cm ^2

Step-by-step explanation:

9 times 6 is 54

Help asap! giving brainliest!

Answers

Answer: understand The problem

Gather reasources

check your answer to a solution

come to an answer

john wants to buy a new phone for 1200. the sales tax is 8.875%. what is the total price?

Answers

Answer:

$1306.50

Step-by-step explanation:

1200(1 + tax) = total price -->

1200(1.08875) = total price -->

1306.5 = total price

How do I calculate this parent function of a linear function? The parent function of a linear function is y=x. When the parent function is changed to y=x+5, how does the graph transform?

Answers

Step-by-step explanation:

This only moves the linear function up 5 units. So, before the y-intercept and the x-intercept both was (0,0). Now, the y-intercept is (0,5) because the graph was shifted up 5 units.

hope this helps :)

25 x 10 to the power of 6 in standard form

Answers

Answer:

24414062 14

sj rjsjstushnaayaeyn

Correct answers only!

To the nearest cent, how much will he have in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: $44.10

Step-by-step explanation:

We are given our p, r, t in the problem.

p=40 (starting amount)

r=0.05 (5%)

t=2 (years)

With the given information, we can plug this into our equation.

B=p(1+r)^t

B=40(1+0.05)^2

B=44.1

The price of a cup of coffee was $2.35 yesterday. Today, the price fell to $2.10. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

  10.6% decrease

Step-by-step explanation:

The percentage change in a quantity is computed using ...

  percentage change = ((new value)/(old value) -1) × 100%

  = (2.10/2.35 -1) × 100%

  = (0.8936 -1) × 100%

  = -.1064 × 100%

  = -10.64%

The percentage decrease was about 10.6%.

When you add fractions is the sum always greater than 1?

Answers

Answer:

Not always

Step-by-step explanation:

Some fractions, like 1/2, if you add it with 1/2, it equals one.

Halves will always equal one, and they are fractions too, so technically not all addition of fractions are greater than 1.

hope this helped


Which of the following fractions is equivalent to 3/5 ?
A 1/2
B 3/8
C 6/20
D 9/15

Answers

The answer is D :).

The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use
22
7
for π.
21 ft
66 ft
120 ft
132 ft

Answers

Answer:

D: 132 ft

Step-by-step explanation:

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

Answer:

132

Step-by-step explanation:

Find ten rational numbers between -2/5 and 1/2

Answers

Answer:

-1/3, -1/4, -3/10, -1/8, -1/16, 1/3, 1/4, 3/10, 1/8, 2/5.

Step-by-step explanation:

-2/5 is -0.4 and 1/2 is 0.5

Ten rational numbers in between are, -0.33333 (-1/3), -0.25 (-1/4), -0.3 (-3/10), -0.125 (-1/8), -0.0625 (-1/16), 0.33333 (1/3), 0.25 (1/4), 0.3 (3/10), 0.125 (1/8), 0.4 (2/5)

Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her grandmother then gave her $20. In all,she has $53.

Answers

Answer:

She earns 5.5 dollars per hour at the library

Step-by-step explanation:

I am going to assume that the questions is "how much she earns per hour at the library?"

Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.

Later her grandma gave her 20 dollars and she has now 53 dollars.

Let's write the equation and solve it

Amount earned + Amount given by her grandma = 53

[tex]6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5[/tex]

Thus, based on this information we would have that Kia earns 5.5 dollars per hour.

please Helps it’s urgent

Answers

Answer:

<1 and <3

Step-by-step explanation:

They are both symmetric

The answer is 1 and 3

Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.

Answers

Answer:

You would add 3x to both sides. Then divide by 10 on both sides.

What to do to isolate the variable term to one side of the equation is to add 3x to both side

Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;

Add 3x to both sides of the equation to have;

-3x + 18 + 3x = 7x + 3x

18 = 7x + 3x

Swap sides

7x + 3x = 18

10x = 18

Divide both sides by 10

10x/10 = 18/10

x = 1.8

From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side

Learn more here: https://brainly.com/question/14107099

How do u find the unknown angle measure in a triangle

Answers

Answer:

Use the sum of angle measures rule.

Step-by-step explanation:

If you are given two angles and one missing angle, it's good to remember that all angles add up to 180°.

You can add the the given angles measurements, and subtract them by 180. You should then get the missing angle measure.

Brainilest Is Appreciated.

Solve the equation.

6+q=1

Answers

Answer:

-5

Step-by-step explanation:

6 - 5 = 1

so 6 + -5 is also equal to 1

Answer:

   q = -5

Step-by-step explanation:

Step  1  :  Simplify:  6/q

Step  2  :

Rewriting the whole as an Equivalent Fraction

Equation at the end of step  2  :

 (6 - q)    

 ——————— -  2  = 0  

    q      

Step  3  :

Rewriting the whole as an Equivalent Fraction

Step  4  :

Pulling out like terms

Answer:    q = -5

Hope this helps.

 

In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.

Answers

9514 1404 393

Answer:

  ∠I = 59.0°

Step-by-step explanation:

The applicable trig relation is ...

  Tan = Opposite/Adjacent

  tan(I) = JK/KI = 90/54

  I = arctan(90/54) ≈ 59.04°

The measure of angle I is about 59.0°.

help me fill this out thanks

Answers

Answer:

10

Step-by-step explanation:

We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.

Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.

Manipulating two of our equations, preferably the equations with the variables b and c, we can get [tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex] and solving for c, which is p in this case, will give us [tex]c=\frac{bsin(C)}{sin(B)}[/tex]

Plugging in the numbers we have gives us [tex]c=\frac{5sin(90)}{sin(30)}[/tex] = 10 mi

Please help ASAP....

Answers

Answer:

7 is D and 8 is D

Step-by-step explanation:

I'm assuming you were asked for the volume of both of these.

7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.

8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.

Complete the point-slope equation of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-7,-8)(−7,−8)?

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

The equation of the line in point-slope form is y - 6 = -7(x+9)

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is any point on the line

Given the coordinate points (-9, 6) and (-7, -8)

Get the slope of the line:

slope = -8-6/-7+9

Slope = -14/2

Slope = -7

Using the point (-9, 6), the required slope is expressed as:

y - 6 = -7(x-(-9))

y - 6 = -7(x+9)

Hence the equation of the line in point-slope form is y - 6 = -7(x+9)

Learn more here: https://brainly.com/question/24642959

1 1/7 times 3/5 plz answer now

Answers

Answer:

24/35 or 0.6857142

Step-by-step explanation:

Answer:

[tex] \frac{24}{35} [/tex]

alternative form:

[tex] 0.685714286 [/tex]

Step-by-step explanation:

[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]






I am Giving 50 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?

Answers

7/16 maybe

...............

Answer:

7/16

Step-by-step explanation:

the relative

frequency probability that a randomly

selected pastry will be a chocolate

pastry is 7/16

F(x)=x^2 what is g(x)

Answers

Answer:

10

Step-by-step explanation:

You have to get 10 because g(x) means 5 so you multiply it by two.

Answer

The answer is (1/3x)^2

Step-by-step explanation:

g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Which equation demonstrates the additive identity property?
(7 + 4i) + (7-4i) = 14
(7 + 4i) + 0 = 7 + 4i
(7 + 4i) ( 1 ) = 7 + 4i
(7 + 4i) + (-7- 4i) = 0​

Answers

the answer for the question is b! :)

Other Questions
The chart below shows the distribution of weeds in a yard.A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.Weed TypeNumberDandelion2Clover3Crab Grass2Chickweed2Which explains whether or not this is a representative sample?Yes, this is a representative sample because each type of weed is represented in the sample.Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample. 4) If z/3 = 6, what is z equal to? Beerbo purchased a patent from Mitter Lite Co. for $1,000,000 on January 1, 2018. At that time, the patent's useful life was 10 years, expiring on December 31, 2027. In early 2020, Beerbo determined that the economic benefits of the patent would not last longer than 4 more years (6 years from the date of acquisition). Given the revised useful life, Beerbo expects the useful life of the patent to expire on December 31, [a1]. (Input year; e.g. "2020") At the end of 2019 / beginning of 2020, what was the value / net book value of the patent in Beerbo's books ________________ substances have an equal amount of H+ and OH- ions in solution. HELP PLEASE ILL GIVE 25 pointsWhich of the following practices could help reduce erosion of water banks? a. buffer strips b. natural fertilizers and pesticides c. decrease in fossil fuel emissions d. all of the above Please select the best answer from the choices provided A B C D Both plot and blank are used to develop the theme of the narrative PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Let ABCD be a trapezoid with bases AB and CD. Let AD=5 and BC=7, and let P be a point on side CD such that CP/PD=7/5. Let X,Y be the feet of the altitudes from P to AD, BC respectively. Show that PX=PY. Over-reliance on oil also increases economic unpredictability. When oil prices drop, as is presently the case, the relateddecline in revenue requires cuts in public spending, which hurts growth in the non-oil sector and leads to lower publicemployment-adapted from Economic Diversification in Oil-Exporting Arab Countries, International Monetary Fund (April 2016)Which of these statements best supports this argument?. Saudi Arabia does not export enough oil.B. Saudi Arabia's oil supply is controlled by private corporations.C. Saudi Arabia produces too little oil.ODSaudi Arabia's oil supply is controlled by the government.ResetNext Question Ensuite, je(entrer) dans le muse. Solve each equation.13 = -2w Ginger still has 40 percent of her book to read. If she has read 180 pages, how many pages does she still have to read? Explain how imperialism was a cause of rising tensions that led to war. Will Give Brainliest Which function can be used to model the graphed geometric sequence? f(x + 1) = Five-sixthsf(x)f(x + 1) = Six-fifthsf(x)f(x + 1) = Five-sixths Superscript f (x)f(x + 1) = Six-Fifths Superscript f (x) You are given the reaction Cu + HNO3 Cu(NO3)2 + NO + H2O complete the final balanced equation based on half-reactions The rule of law is a key democratic principle. What is the rule of law?14 the idea that all laws should come directly from the peoplethe rules that all lawmakers must follow when creating new lawsthe idea that the law applies to everyone and no one is above the lawthe idea that all laws are created with the intent to preserve democracyPlease select the best answer from the choices providedANaxo old What is currently happening with Mount Etna? Before creating a print from a negative, most photographers will create a contactsheet or a contact print.TrueFalse how does the sun light affect earths climate ASAP WILL GIVE BRAINLIESTHarry wrote the following examples of homeostasis:Example 1: An electric blanket provides warmth when it's coldExample 2: The kidney and other organs remove waste from the human bodyExample 3: Some animals migrate to find foodExample 4: Power plants provide electricity for homesWhich of these is a correct example of homeostasis? Example 1 Example 2 Example 3 Example 4 What products did texas supply during world war 1?