A hot air balloon is 200.6 feet above land. After 5 minutes, the parasail is at 120.8 feet above land. What is the change in height?

Answer:

460 feet

Step-by-step explanation:

The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.

Since the particle is at the origin when x(t) = 0, we have:

[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]

Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.

Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).

Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):

v(t) = dx/dt

[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]

Now, we can find the velocity at t ≈ 2.944:

[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]

v(t ≈ 2.944) ≈ 16.885

So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

learn more on velocity :

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Answer:

Step-by-step explanation:

if the number is higher then 5 it goes over to the tenth

Answer:

r = 27 cm

Step-by-step explanation:

[tex]Volume \ of \ ball = \dfrac{4}{3}\pi r^{3}\\\\\\\dfrac{4}{3}\pi r^{3}= 26244\pi \\\\\\r^{3}=\dfrac{26244*\pi *3}{4*\pi }\\\\\\r^{3}= 6561*3\\\\r^{3} = 3*3*3*3*3*3*3*3*3\\\\\\r=\sqrt[3]{3*3*3*3*3*3*3*3*3}=3*3*3\\\\r = 27[/tex]

Answer: y = -5/2 -17

Step-by-step explanation: First put the equation in point slope form

Y-y1 = m(x-x1)

y + 2 = -5/2(x+6) then simplify to slope int. form

Y= mx + b

Y = -5/2x-17

Answer:

y = (-5/2)x - 17

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = mx + b

Slope = -5/2

y = (-5/2)x + b        [tex]\longmapsto\\[/tex]         Input x and y values from given point

-2 = (-5/2)-6 + b

-2 = (-5 * -6)/(2) + b

-2 = 30/2 + b

-2 = 15 + b

b = -2 - 15

b = -17

y = mx + b

m = -5/2

b = -17

y = (-5/2)x - 17

-Chetan K

-Chetan K

Step-by-step explanation:

I think you made a mistake with the equation.

because that property, that you presented, did not exist.

but

3(x+4) = (x+4)3 exists

and it is the commutative property of multiplication (a×b = b×a).

Answer:

3x19+14x9

183

Step-by-step explanation:

Answer:

.05x+50=55

100 minutes

Step-by-step explanation:

simplify

.05x=5 (subtract 50 on both sides)

5/.05=x

100=x

she can call for 100 minutes

9514 1404 393

Answer:

  a) a=1, b=4, c=-5

  b) opens up; a > 0

  c) minimum = -9, the y-value of the vertex

  d) x = -5, 1

  e) y = -5, the value of c

  f) (-2, -9)

Step-by-step explanation:

A graph drawn by a graphing calculator can answer all of these questions quickly and easily.

__

a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:

  f(x) = ax^2 +bx +c

  f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5

__

b) The parabola opens up. This is because the value of 'a' is greater than zero.

__

c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...

  f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)

Your function can be put into this form:

  f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square

  f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).

The y-value of the vertex is -9, the minimum value of the function.

__

d) Solving f(x) = 0, you get ...

  (x +2)^2 -9 = 0

  (x +2)^2 = 9 . . . . . . . . add 9

  x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2

  x = -2 ±3 = {-5, 1} . . . . . the x-intercepts

__

e) The y-intercept is f(0) = c = -5.

__

f) The vertex was found in part (c) to be (-2, -9).

Answer:

b = 4

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses it

Here the line crosses the y- axis at b = 4

Answer:

answer is 4/5

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

    This is because of the law of indices which says:

[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]

    So, if we have:

[tex]\sqrt{n}[/tex]

    Then the following will be true because of this math law:

[tex]n^{\frac{1}{2} }[/tex]

Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

6/16

Step-by-step explanation:

there are 6 chances for it to be a double success out of a total 16 tries

Answer:

Find the point of intersection of the graphs of the equations.

Step-by-step explanation:

that's the answer

keep on leaning math

Step-by-step explanation:

yes, in a similar way as division is a shortcut for repeated subtraction.

you do know, that you normally have to add the points win in a game, right ?

so, your score grows by 200 points each time you score.

that means

200

200

200

...

200

what do you think you do to get the total ? you add all the points.

you don't multiply them, because e.h 200×200 would be the shortcut of adding 200 for 200 times.

but you did not have 200 hits, you only got 12 hits.

so, you either do the effort of adding 200 12 times, or you simply multiply 200 by 12 (as this is the mentioned shortcut).

and you don't just add 12 to 200. that would give you only 212. and you did not earn 12 points to add. you earned 12 times 200 points to add.

that is how multiplication works and helps with additions.

Answer:

its yes

bc yeah just......do it

Answer:

your answer is 4+3

Step-by-step explanation:

Answer:

4 7/20

Step-by-step explanation:

8 1/4 - 3 9/10

get a common denominator of 20

8 1/4 *5/5 - 3 9/10 *2/2

8 5/20 - 3 18/20

borrow 1 from the 8 in the form of 20/20

7 +20/20 + 5/20 - 3 18/20

7 25/20 - 3 18/20

4 7/20

Answer: 4.35

Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.

Answer:

Step-by-step explanation:

Answer:

You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.

                         ↑  

                  the arrow pointing shows what the remainder means

remainder is the one which is down

Answer:

P=5x3+17  P=32

Step-by-step explanation:

Answer:

A r = kt

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

x=(h)

Step-by-step explanation:

Answer:

is no solution an answer choice cause thats what i got

Step-by-step explanation:

Answer:..

Step-by-step explanation:..

Answer:

70%

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

1000×6÷4

250×6

1500