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ohaa [14]
1 year ago
15

Which math subject is the hardest

Mathematics
1 answer:
lesya [120]1 year ago
6 0

Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.

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A ball is dropped from a height of 600 feet. The function describing the height of the ball at t seconds after it dropped is <im
bekas [8.4K]

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

<h3>What is instantaneous and average velocities?</h3>

Instantaneous velocity  is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16t^{2} + 600

a) Height at t = 0 = 600 feet

    Height at t = 3 seconds = f(3) = -16(3)^{2} + 600 = 456 feet

Distance travelled  = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken  = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = \frac{df(t)}{dt} = \frac{d(-16t^{2} + 600) }{dt} = -32t

  when instantaneous velocity equal average velocity

     -32t = -48

      t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

Learn more about instantaneous and Average velocity: brainly.com/question/13372043

#SPJ1

7 0
2 years ago
PLEASE LOOK AT THE IMAGE. I’m despite. It’s probably easy.
Sloan [31]

Answer:

Correct answer:  (x - 10)² + y² = 441 / 4

Step-by-step explanation:

Given:

(a, b) = (10, 0)  the coordinates of the center of the circle

(10, 21/2)  circle passing through this point

The standard form of the circle equation is:

(x - a)² + (y - b)² = r²  where r is radius of the circle

We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:

(10 - 10)² + (21/2)² = r²  ⇒ r² = (21/2)² = 441 / 4

r² = 441 / 4

(x - 10)² + y² = 441 / 4

God is with you!!!

6 0
3 years ago
Solve the following equation by first writing the equation in the form
Annette [7]

hope u understand......

6 0
3 years ago
What is the estimate answer and the exact answer of 17/10 ÷2 4/5
OLEGan [10]
Both 17/10 and 2 4/5 should be rounded up in preparation for this estimation.

17/10 is close to 2 and 2 4/5 is close to 3.  Thus, your estimated answer should be
                     2/3, or approx. 0.6666....

Exact answer:    divide 17/10 by 14/5.  LCD is 10, so convert 14/5 to 28/10.

Now divide 17/10 by 28/10.  Answer:  17/28 = approx.   =  0.607 approx.

These two results are comparable:   0.6666....  and 0.6071 ....
8 0
3 years ago
Use the graphs below to help you answer the question. Which of the following is the best approximation to a solution of the equa
brilliants [131]

Answer:

2 is the correct option.

Step-by-step explanation:

We have the equation e^x=4x+1.

We will plot the graphs of the function e^x and 4x+1.

Then, the intersection points of both the graph will be the solution of the equation e^x=4x+1.

From the graphs, we see that,

The intersection points of the graphs are (0,1) and (2.337,10.347).

The solution of the equation is the value of 'x' co-ordinate where they intersect.

So, we get, x = 2 is the correct option.

4 0
3 years ago
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