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!!

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

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°.

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

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.

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]

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

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 :)

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:

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

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.

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)

Answer:

20

Step-by-step explanation:

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

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.

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%.

the answer for the question is b! :)

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.

Answer:

24414062 14

sj rjsjstushnaayaeyn

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

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.

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.

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

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

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

Answer:

<1 and <3

Step-by-step explanation:

They are both symmetric

Answer: understand The problem

Gather reasources

check your answer to a solution

come to an answer

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

Answer:

$1306.50

Step-by-step explanation:

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

1200(1.08875) = total price -->

1306.5 = total price