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3 years ago

please answer

Mathematics

1 answer:

velikii [3]3 years ago

8 0

Answer:

The quadratic function that model the situation is

h(t) = - 16 t² + 68 t + 12

Step-by-step explanation:

The formula of the distance for free fall of an object is h(t) - h(0) = ut + $\frac{1}{2}$ at², where

h(t) is the height of the object in feet after t seconds
u is the initial velocity of the object
a is the acceleration of gravity in feet per second²

Jamie throws a ball into the air with an initial upward velocity of 68 feet per second from a height of 12 feet

∵ The initial velocity is 68 feet/second

∴ u = 68

∵ The initial height is 12 feet

∴ h(0) = 12

- The acceleration of gravity is about - 32 feet/sec² (the direction

of motion is upward)

∴ h(t) - 12 = 68 t + $\frac{1}{2}$ (-32) t²

- Add 12 to both sides

∴ h(t) = 68 t - 16 t² + 12

- Arrange the terms from greatest power of t

∴ h(t) = - 16 t² + 68 t + 12

The quadratic function that model the situation is

h(t) = - 16 t² + 68 t + 12

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For what value of c is the relation a function? {(2.8). (12.3).(c.4), (-1.8). (0.3}}

raketka [301]

Answer: B) 1

=======================================================

Explanation:

I'm assuming you were given the list of points to be

{(2,8). (12,3).(c,4), (-1,8). (0,3}}

the x coordinates of each point are: 2, 12, c, -1 and 0

If c is equal to any of the other x coordinates (2, 12, -1, or 0), then this will mean we have a repeated x coordinate. In turn, this leads to us not having a function.

---------

Consider the case that c = 2.

This means that (2,8) and (2,4) are two points in this relation. The input x = 2 leads to multiple outputs y = 8 and y = 4 at the same time. A function is not possible here. A function is only possible if we have any given input lead to exactly one output only. So this is why c = 2 is not possible if we want a function. The same goes for the other x coordinates mentioned.

All of this means we can rule out choices A, C, and D

Choice B means that c = 1 and this x coordinate hasn't been mentioned yet. So this could be a value of c that leads to a function. This is why choice B is the final answer.

3 0

2 years ago

Ethan earns $10 every hour for walking Ms. Barn's two dogs, plus an additional $7

MatroZZZ [7]

H=hour
10h+7=32 would be the best equation. Hope this helps!

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3 years ago

What is the unknown fraction? <br><br>6/10 + ____ = 62/100

sergeinik [125]

The answer is 2/100 or 1/50!

6/10 is equivalent to 60/100.
62/100 - 60/100 = 2/100 = 1/50

So, 6/10 + 1/50 = 62/100
6/10 + 2/100 = 62/100

(Use 1/50 because that’s the simplified answer!)

I hope this made sense! Good luck!

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2 years ago

160% of what number 56?

Bogdan [553]

Answer:

160% of 35 is 56.

Step-by-step explanation:

$\frac{56}{y} :\frac{160}{100}$

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

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7 0

3 years ago

A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to

tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

From the problem statement, we can formulate the following equations:

1. y + z = 30 ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120 ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90 ---> each animal has 2 eyes only

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0

3 years ago

***please answer***

please answer