All categories

2 years ago

The function(t)--4.87+18.75 is used to model the height of an object projected in the air, where h() is the height in

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

7 0

Answer:

A on EDGE 2022

Step-by-step explanation:

NNADVOKAT [17]2 years ago

3 0

The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

<h3>How to calculate the domain of the function?</h3>

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

<h3>How to calculate the range of the function?</h3>

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

Read more on domain here: brainly.com/question/17003159

#SPJ1

You might be interested in

What should be done to solve the equation?

stellarik [79]

Answer:

add 17 to both sides

Step-by-step explanation:

as it cancels itself

mark brainliest

5 0

3 years ago

Algebra 2 (picture shown)

TEA [102]

Answer:

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

$C(t)=C_o\cdot(1-r)^t$

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.

The equation of the model is:

$M(t)=M_o\cdot(1-r)^t$

$M(t)=970\cdot(1-0.277)^t$

Operating:

$M(t)=970\cdot 0.723^t$

After t=13 minutes the remaining mass is:

$M(13)=970\cdot 0.723^{13}$

Calculating:

M(13)=14.3 gram

4 0

3 years ago

Which is bigger 83cm or 8 meters

Tatiana [17]

Answer: I think it is 8 meters because 83 cm in meters is 0.83 meters :)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

How many solutions are there to the quadratic equation

Ray Of Light [21]

Answer:

Step-by-step explanation:

(-7)^2 - 4*3 *(-2) = 49 + 24 >0

discriminant is positive so 2 real roots

8 0

3 years ago

A binomial event has n = 50 trials. The probability of success for each trial is 0.60. Let x be the number of successes of the e

babunello [35]

Answer:

30 and 3.4641

Step-by-step explanation:

The mean of a binomial distribution is:

μ = np

And the standard deviation of a binomial distribution is:

σ = √(npq)

Here, n = 50, p = 0.60, and q = 0.40.

μ = np = 50 × 0.60 = 30

σ = √(npq) = √(50 × 0.60 × 0.40) = 3.4641

3 0

3 years ago

Read 2 more answers