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Brilliant_brown [7]
3 years ago
11

The Function approximate the velocity (in feet per second) of an object dropped from a height of x feet

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

The answer to the question is

It take for the golf ball hit on Mars to reach the ground 8.284 s longer.

Step-by-step explanation:

To Solve the question, we note that the equation of motion is given to us as

h = -1.9·t² + 26·t

Therefore the height

We compare the above equation with the equation of of motion

S = ut - 0.5×g×t² where u = initial velocity = 26 m/s and  - 0.5×g = -1.9

Therefore the acceleration due to gravity om mars = -1.9/-0.5 = 3.8 m/s²

We now have the time taken to maximum height given by

v = u - g·t where v = 0 at maximum height

We therefore have u = g·t → 26 = 3.8×t or t = 26/3.8 = 6.84 seconds

The time taken for ball to hit the ground is 2 × the time to reach maximum height = 2 × 6.84 = 13.684 s

The time longer it takes for the ball on Mars to complete the path up to maximum height and down again is 13.684 s - 5.4 s = 8.284 s.

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kenny6666 [7]
The right triangle is also Isosceles. It has two equal angles of 45°.

(hypotenuse)² = 2S²

4 = 2S² => S = √2

Therefore B is the correct answer.
8 0
3 years ago
Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges
BartSMP [9]

Answer:

  25

Step-by-step explanation:

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

  y = 75 +7x . . . . . cost for x students to visit the science center

  y = 50 +8x . . . . cost for x students to visit the natural history museum

__

Subtracting the first equation from the second, we get ...

  0 = -25 +x

  25 = x . . . . . add 25; the number of students such that costs are equal

The cost will be the same either place for 25 students.

__

<em>Additional comment</em>

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...

  $25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

4 0
2 years ago
11 1/4 divided by 3/4
Evgesh-ka [11]
45/4 * 4/3 = 45/3 is the answer
8 0
3 years ago
Read 2 more answers
When a man observed a sobriety checkpoint conducted by a police​ department, he saw 671671 drivers were screened and 77 were arr
kifflom [539]

Answer:

P(\overline W)=0.98957

Step-by-step explanation:

Number of drivers Screened = 671

Number Arrested for Driving While Intoxicating = 7

If the W denotes the event of screening a driver and getting someone who is intoxicated.

The Probability of W, P(W)=\frac{7}{671}=0.01043

  • The Probability P(\overline W) is the probability of the event of screening a driver and getting someone who is not intoxicated. Simply put, it is the Probability of the Complement of W.

From Probability Theorem,

P(W)+P(\overline W)=1\\Since \: P(W)=0.01043\\0.01043+P(\overline W)=1\\P(\overline W)=1-0.01043\\=0.98957

8 0
3 years ago
Revenue
denis23 [38]

Answer:

Step-by-step explanation:

Given that a  small business assumes that the demand function for one of its new products can be modeled by

p=ce^{kx}

Substitute  the given values for p and x to get two equations in c and k

40 = ce^{1200k} \\45 = ce^{1000k}

Dividing on by other we get

\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589

Substitute value of k in any one equation

45 = ce^{-0.589} \\c=45.02651

b) Revenue of the product is demand and price

i.e. R(x) = p*x = 45.02651xe^{-0.000589x}

Use Calculus derivative test to find max Revenue

R'(x) = 45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0
3 years ago
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