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allsm [11]
2 years ago
14

A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball's height above

Mathematics
1 answer:
tekilochka [14]2 years ago
5 0

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

Find out more at: brainly.com/question/11535666

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Natali5045456 [20]
90-x because a complementary angle is =90 degrees.
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3 years ago
Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) f
aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

Let a = (12,5) and b =(13,-8)

The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

⇒ D  = |b|-|a|

⇒ D  = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}

⇒ D  = \sqrt{233} -\sqrt{169}

⇒ D  =15.26 -13

⇒ D  =2.6

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .

4 0
3 years ago
A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior co
gavmur [86]

Answer:

The total number of ways are 168.

Step-by-step explanation:

Consider the provided information.

There are 7 junior and 3 senior coders in her group.

The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.

For second project we have 3 choices and for third project we have 7 choices.

Now there are 2 possible case:

Case I: If first and second coder is senior, then the total number of ways are:

3\times 2\times 7=42

Case II: If first and third coder is junior, then the total number of ways are:

7\times 3\times 6=126

Hence, the total number of ways are: 42+126=168

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Alenkasestr [34]

Answer:

A = -10

Step-by-step explanation:

x^2 + 10x + 24 = 0

To find the roots, we need to factor the equation.

What 2 numbers multiply to 24 and add to 10

6*4 = 24

6+4 = 10

(x+6) (x+4)=0

Using the zero product property

x+6 = 0  x+4 = 0

x = -6   x = -4

We want the sum when the roots are added

-6+ -4 = -10

6 0
2 years ago
: A coin is thrown 30 times.
mel-nik [20]
The relative frequency of it landing on tails is 20/30 or 2/3 or 0.667
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3 years ago
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