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:

Step-by-step explanation:

Commission  =2.5% of 8000

[tex]=\frac{2.5}{100}*8000\\\\=2.5*80[/tex]

= $ 200

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

the patern is

red

white

blue

white

floral.

So in each group of 5, we have one floral quilt square.

now, in 125 quilt squares, we want to find the number of groups of 5 that we can make with thos 125 quilt squares.

This is 125/5 = 15

So we have 15 groups of 5 quilt square.

And we know that in each of those groups, we have one floral quilt square.

So we have a total of 15*1 = 15 floral quilt squars.

Answer: 25

Step-by-step explanation: 125 quilt square in group of 5

125/5 = 25

Each group of 5 os 1 floral quilt so there are 25 floral quilts in total

Answer:

10.8

Step-by-step explanation:

2.40+2.60= 5

2.00(2)+1.80=5.8

5+5.8= 10.8

Answer:

20x + 35y

Step-by-step explanation:

[tex]5(4x + 7y) \\ = 5 \times 4x + 5 \times 7y \\ \huge \red{= 20x + 35y}[/tex]

Answer:

Pieces remaining =  1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10

Therefore, 4/10 x 20 = 8 pieces.

Step-by-step explanation:

Sophie ate 1/4 = 5 pieces

Glenn ate 1/4 = 5 pieces

Remaining pieces = 20 - 5 - 5 = 10 pieces

On Monday, Sophie ate = 1/5 x 10 = 2 pieces

Therefore, remaining pieces = 10 - 2 pieces = 8 pieces

Sophie and Glenn consumed half of the pie the first day.  This is equal to 10 pieces.  The remaining pieces will be 10.  If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.

Answer:

95 people ate pizza

Step-by-step explanation:

Add the ones highlighted

Answer:

Answer is option d mark as brainiest give 100 point

We can create a prime factorization tree using the multiples of 42:  

  42

21  2

7      3

We multiply the numbers that aren't divisble by anything.

7 * 3 * 2 = 42

Best of Luck!

Answer:

25+8m=73

We move all terms to the left:

25+8m-(73)=0

We add all the numbers together, and all the variables

8m-48=0

We move all terms containing m to the left, all other terms to the right

8m=48

m=48/8

m=6

Answer:

[tex]m = 6[/tex]

Step-by-step explanation:

[tex]25 + 8m = 73 \\ 8m = 73 - 25 \\ 8m = 48 \\ \frac{8m}{8} = \frac{48}{8} \\ m = 6[/tex]

Answer:

That isn’t possible

Step-by-step explanation:

Answer:

(x+7)(x-7)

Step-by-step explanation:

These are perfect squares. Whenever you have perfect squares, you can take the square root of the constant. The constant is 49 in this case. The square root of 49 is + or - 7. Therefore, you get (x+7) and (x-7) as solutions. Factored form is (x+7)(x-7).

Answer:

it would be the same since its ON the x-axis ( the point does not change)

Step-by-step explanation:

Answer: on else beans or torti

Answer:

[tex]x=-\frac{39}{2}\\ y=51[/tex]

Step-by-step explanation:

[tex]8x+4y=48\\12x+5y=21[/tex]

Let's solve the first equation for x or y. I'll do it for y.

[tex]8x+4y=48[/tex]

Subtract 8x

[tex]4y=-8x+48[/tex]

Divide by 4.

[tex]y=-\frac{8}{4}x+\frac{48}{4}\\[/tex]

Simplify.

[tex]y=-2x+12[/tex]

Now replace the value of y in the second equation for this.

[tex]12x+5y=21\\12x+5(-2x+12)=21[/tex]

Distribute 5

[tex]12x-10x+60=21[/tex]

Subtract 60

[tex]12x-10x=21-60[/tex]

Combine like terms;

[tex]2x=-39[/tex]

Divide by 2.

[tex]x=-\frac{39}{2}[/tex]

Now replace this in any of the equations to find the value of y.

[tex]8x+4y=48\\8(-\frac{39}{2})+4y=48\\[/tex]

8 and 2 can be simplified.

8/2=4

2/2=1

[tex]4(-39)+4y=48[/tex]

Distribute 4.

[tex]-156+4y=48[/tex]

Add 156

[tex]4y=48+156\\4y=204[/tex]

Divide by 4

[tex]y=\frac{204}{4}[/tex]

[tex]y=51[/tex]

Proof:

[tex]8x+4y=48\\8(-\frac{39}{2} )+4(51)=48\\4(-39)+204=48\\-156+204=48\\48=48[/tex]

Answer:

4175.40384   Dutch guilders

Step-by-step explanation:

The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars

So ; if 1 swiss francs  =  1.0328 united states dollars  (as at Wednesday)

Then 2000 swiss francs  will be = 2000  ×  1.0328 united states dollars  = 2065.6 united states dollars

SO; if  1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)

Then 2065.6 united states dollars will be = 2065.6 × 2.0214

= 4175.40384   Dutch guilders

Answer:

closest would be 3,500

Step-by-step explanation:

Answer:

length of the zip line = 121. 63 ft

Step-by-step explanation:

The length of the zip line AB forms a triangle  ABC. To find the length AB we need to know the length of 2 sides of the triangle an angle.

Triangle ADC

We need to find the hypotenuse side AC using the SOHCAHTOA principle.

Therefore,

sin 41° = opposite/hypotenuse

opposite = 65 ft

sin 41° = 65/AC

cross multiply

0.65605902899 AC = 65

divide both sides by 0.65605902899

AC = 65/0.65605902899

AC = 99.0764506359  ft

AC ≈ 99.08 ft

Triangle BCE

We are looking for side BC. The triangle BCE is also a right angle triangle so we use the same methodology like the triangle ADC.

sin 62° = opposite/hypotenuse

opposite = 85 ft

sin 62° = 85/BC

cross multiply

BC sin 62° = 85

BC = 85/sin 62°

BC = 85/0.88294759285

BC = 96.2684543086

BC ≈ 96.27 ft

The angle ACB can be gotten when you subtract 62° and 41° from 180 (angle on a straight line).

Therefore,

∠ACB = 180° - 62° - 41°

∠ACB  = 77°

Now let us use the cosine law to find the zip line AB.

c² = a² + b² - 2ab cos C

a = 96.27 ft

b = 99.08 ft

c² = 96.27² + 99.08² - 2 × 96.27 × 99.08 cos 77°

c² = 9267.9129 + 9816.8464 - 19076.8632 cos 77°  

c² = 19084.7593 - 19076.8632 × 0.22495105434

c²  = 19084.7593 - 4291.36049041

c² = 14793.398810

square root both sides

c = √14793.398810

c = 121.628116856

c ≈ 121. 63 ft

length of the zip line = 121. 63 ft

Answer:

the other person is incorrect it is 3 x 3 / 2  

Step-by-step explanation:

this is my question

The volume of the given triangular prism is 31.4937 cubic inches

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

From the given triangular prism

Base side a =3 in

Base side b=3 in

Base side c=4.2

height h=7 in

The formula to find the volume of triangular prism

Volume = 1/4h√-a⁴+2(ab)²+2(ac)²-b⁴+2(bc)²-c₄

Substituting the values in the formula we get

Volume =31.4937

Hence, the volume of the given triangular prism is 31.4937 cubic inches

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Answer:

0.35714285714 as a fraction equals 35714285714/100000000000

Step-by-step explanation:

To write 0.35714285714 as a fraction you have to write 0.35714285714 as numerator and put 1 as the denominator.

Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.35714285714 = 0.35714285714/1 = 3.5714285714/10 = 35.714285714/100 = 357.14285714/1000 = 3571.4285714/10000 = 35714.285714/100000 = 357142.85714/1000000 = 3571428.5714/10000000 = 35714285.714/100000000 = 357142857.14/1000000000 = 3571428571.4/10000000000 = 35714285714/100000000000

I hope this helps :)

Answer:

the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A Descent rate,

B 10725ft,

C 25min

Answer:

6.7 times 6.7

Step-by-step explanation:

I hope this helps you

Answer: (4,2)

Step-by-step explanation:

You can find the solution to a systems of equations graph by finding the point where the two lines intersect. In this case, they intersect at (4,2).

The figures were not drawn to scale.

Answer: (25 – π)

Answer:

False

Step-by-step explanation:

3/4 = 9/16

Multiply the left side by 4/4 to get a common denominator

3/4*4/4 = 12/16

This is not equal to 9/16 so this is not a proportional relationship

Answer:

False

Step-by-step explanation:

3 times 3 is 9, so if this is a proportional relationship between the two fractions than 4 times 3 will be 12.

Since it is a 16 rather than a 12 you know that this cannot be right. Whatever you do to the top you have to do to the bottom, and in this case. That's just not happening.

Answer:

30

Step-by-step explanation:

6 x 5 is 30.