please help tysm ! Giving brainliest to best answer

Answer:

0.44237 units

Step-by-step explanation:

Given

[tex]v(t) = e^t*sin(e^t)[/tex]

[tex]0 \le t \le \frac{\pi}{2}[/tex]

Required

The distance traveled in this interval

We have:

[tex]v(t) = e^t*sin(e^t)[/tex]

The distance is calculated as:

[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

Let:

[tex]u = e^t[/tex]

Differentiate

[tex]\frac{du}{dt} = e^t[/tex]

So:

[tex]dt = e^{-t} du[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]

Rewrite as:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]

Integrate:

[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]

Substitute [tex]u = e^t[/tex]

[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]

Split

[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]

[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]

[tex]d(t) = -0.09793 + 0.5403[/tex]

[tex]d(t) = 0.44237[/tex]

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

Answer:

a= -15

b= -0.5

c= 0.01

Step-by-step explanation:

a:   multiply 3 both sides so now it would be a = -15

b: do 12 - 12.5 = -0.5

c: -0.1 divided by -10 = 0.01

Answer:

8/15

-3

2 1/7

-10

Step-by-step explanation:

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

Answer:

A. 8/15

B. 36/-12 = 3/-1 (-3)

C. -15/-7 (15/7)

D. -30/3 = -10/1 (-10)

Step-by-step explanation:

To find the quotient of two fractions, change the equation from division to multiplication.

Each time you divide fractions, remember this:

SAME, CHANGE, RECIPROCAL (FLIP)

For example, 2/5 ÷ 3/4

SAME: Keep 2/5 as it is.

CHANGE: Change the division to a multiplication sign.

RECIPROCAL (FLIP): Switch the numerator and denominator; 3/4 would become 4/3.

2/5 x 4/3

(Multiply the numerators and denominators).

2/5 x 4/3 = 8/15.

Now, repeat this with other equations.

9/4 ÷ -3/4

9/4 x 4/-3 = 36/-12 = 3/-1 (-3)

-5/7 ÷ -1/3

-5/7 x 3/-1 = -15/-7 = (15/7)

-5/3 ÷ 1/6

-5/3 x 6/1 = -30/3 = -10/1 (-10)

Answer:

104.06 m^2

Step-by-step explanation:

Area of square

22 X 22 = 484 m^2

Area of circle

3.14r^2

radius = 22/2

radius = 11

3.14* 11^2 = 379.94

484 - 379.94 = 104.06

Answer:

610000

Step-by-step explanation:

Srry i misread that i thought it said round to the nearest thousandth f

After rounding the number to the nearest thousand we get 609635.783

Here,

The given number to round nearest thousand is 609635.782852

What is rounding off of a number?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Now,

In rounding off a number nearest thousand we can write a number up to 3 decimal places

So after rounding 609635.782852 to the nearest thousands we get,

609635.783

Learn more about the Rounding off of a number visit:

https://brainly.in/question/5838592

#SPJ2

Answer:

weight on saturn = (weight on earth/9.8) x 10.44

So,

3.24 = (x/9.8) x 10.44

0.3103 = x/9.8

x = 3.0409

The rock would weigh 3.0409 pounds on Earth! :)

Answer:

X = 64

Y = 18

Step-by-step explanation:

Para resolver un sistema de ecuaciones de dos incognitas por igualacion:

- Se despeja en ambas sub ecuaciones una incognita y se igualan, para determinar la respuesta del otro valor desconocido

Despejemos la Y en ambas operaciones:

Y = 82 - X

Y = (500 - 5X) 1/10

Y = 50 - 1/2X

Ahora igualamos

82 - x  =  50 - 1/2x

82 - 50 = -1/2x  + x

32 = 1/2x

x = 32 . 2

x = 64

Volvemos a las dos sub ecuaciones

Y = 82 - 64  →  18

Y = (500 - 5 . 64) / 10

Y = (500 - 320) / 10

Y = 180 / 10 → 18

Answer and Step-by-step explanation:

The top right shape is the correct option.

It contains a triangle and a rectangle, in which she can use the formulas to solve for their areas.

#teamtrees #PAW (Plant And Water)

Answer: Number 2 is correct. It divides the trapezoid into a square (rectangle) and 2 triangles which is equivalent to the whole trapezoid.

Answer:

OPA OPA OPA OPA OPA OPA OPA OPA

Step-by-step explanation:

_. ._

\_(``-)_/

Answer:

its by chance yk

Step-by-step explanation:

Answer:

13 pounds

Step-by-step explanation:

We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:

205 - 192 = 13 pounds

That means that the box and the packaging is 13 pounds. Hope this helps!

Answer:

120

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

2y - 6 = 2

add 6 to each side of the equation:

2y = 8

divide both sides by 2:

y = 4

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

Answer:

I am not sure about this one but I think x = 13.89

Step-by-step explanation:

Have a nice day!

Answer:

54 percent

Step-by-step explanation:

The final probability is a weighted average of the going to play probabilities determined for each weather scenario:

P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +

If it doesn't rain, P(John plays cello) * P(it doesn't rain) =

0.54 = 0.6 * 0.7 + 0.4 * 0.3

The likelihood is 54 percent.

Answer:

12

Step-by-step explanation:

Answer:

There is a vertical stretch when I graphed it.

Step-by-step explanation:

Hope this helps:)

Answer:

$48

Step-by-step explanation:

20%=1/5

60/5=12

60-12=48

Answer:

7/12lb

Step-by-step explanation:

5-1 2/3-2 3/4

=5-5/3-11/4

=10/3-11/4

=40/12-33/12

=7/12lb

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

There was an initial amount of 5 lbs.

[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]

4 (5/12) of the sugar was used.

[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]

(7/12) of sugar should be remaining.

Hope this helps.

Answer:

D.infinitely many

try it you'll see

Answer:

Step-by-step explanation:

B is correct:  We Divide it (the coefficient b) by 2 and square the result.

Answer:

B. Divided it by 2 and square the result.

Answer:

range °° heights - lowest = 22-12 = 10

mean °° average number = sum of all numbers÷ number of digits = 173÷ 11 =15.727

When we divide both sides of the inequality,

3x > 27 by 3,  3x(3) > 27(3)

we get x > 9, as the simplified form of the inequality.

Thus, giving us the answer of:

x > 9

Answer:

Step-by-step explanation:

3x > 27

x > 9

Answer:

168<266

Step-by-step explanation:

Answer:

168<266 (Did it on college bridge)

Step-by-step explanation:

Answer:

96/100, if they said simplify then its 24/25

Step-by-step explanation:

Answer:

A.

B.

C.

D.

Answer:

answer:

A.

2 cm, 5 cm, 29 cm

for right angled triangle

2²+5² =29²

29=29²

false

B.

2 cm, 6 cm, 8 cm

for right angled triangle

2²+6²=8²

40=64

false

C.

4 cm, 5 cm, 6 cm

for right angled triangle

4²+5²=6²

41=36

false

D.

5 cm, 12 cm, 13 cm

5²+12²=13²

169=169

true

so.

possible lengths of the sides of a right triangle is:D.

D. 5 cm, 12 cm, 13 cm

Answer:

13

Step-by-step explanation:

8x-6 = 98 and solve from there to get 13

Answer:

its 2

Step-by-step explanation:

Step-by-step explanation:

volume is cubic feet and cubic meters

area is square feet and square units

perimeter is inches