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Ivanshal [37]
1 year ago
15

Use the position equation given below, where s represents the height of the object (in feet),

Mathematics
1 answer:
mariarad [96]1 year ago
8 0

The answers to the questions are

  • The mathematical model is given as s = −16t2 + 1054
  • The height after 4.5 seconds is 730 feet
  • the time it would take to strike the ground is 8.11 seconds.

<h3>How to solve for the position of the object</h3>

The mathematical model of this problem would be written as

s = −16t2 + v0t + s0

s0 = 1054

then we would have

s = −16t2 + 1054

b. after 4.5 seconds the height is going to be

s = −16t2 + 1054

=  −16(4.5)² + 1054

= -16 * 20.25 + 1054

= 730

C. the time that it takes to strike the ground

s = −16t² + 1054

= 16t² = 1054

t² = 1054/16

= 65.88

t = √65.88

t = 8.11

Hence the time it would take to strike the ground is 8.11 seconds.

Read more on velocity here:

brainly.com/question/4931057

#SPJ1

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Assignment: Translating Functions Investigation
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Part B)

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3) The translation of the function right 10 units means that the initial deposit is equal to $10

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Step-by-step explanation:

we have

f(x)=5x+50

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f(x) --> represents Jeremy's account balance

x ---> the time in years

Part A)

The translation of the function is up 10 units.

The rule of the translation is equal to

(x,y) -----> (x,y+10)

so

The new function will be

f(x)=5x+50+10

f(x)=5x+60

The graph in the attached figure N 1

The translation of the function up 10 units means that the initial deposit is $60 instead of $50

Part B)

The translation of the function is right 10 units.

The rule of the translation is equal to

(x,y) -----> (x-10,y)

so

we have

f(x)=5x+60 ----> function Part A

The new function will be

f(x)=5(x-10)+60

f(x)=5x+10

The graph in the attached figure N 2

The translation of the function right 10 units means that the initial deposit is equal to $10

Part C)

1. Look at the translations, what characteristic of the graph stayed the same in each translation?

In each translation, the slope is the same

The slope m is equal to m=5  

Are parallel lines

2. Look at the original graph and the graph of the translation right 10 units. What vertical translation of the graph in Part B would put the graph back to its original position?

we have

f(x)=5x+10

The vertical translation would be up 40 units

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so

The new function will be

f(x)=5x+10+40

f(x)=5x+50

3 0
3 years ago
Please help me with this
Zolol [24]

Answer:

294.5 m²

Step-by-step explanation:

shaded region = area of major sector + area of triangle

central angle of major sector = 360° - 130° = 230°

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A = π × 11.1² × \frac{230}{360}

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area of triangle = 0.5 × 11.1 × 11.1 × sin130° ≈ 47.2 m²

shaded area = 247.3 + 47.2 ≈ 294.5 m²

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