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alexira [117]
3 years ago
12

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin

g h(t) = 144 – 16t2.
How many seconds will it take the object to reach the ground?
Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0
When the object reaches the ground, the height is zero, so:
0 = 144 - 16t^2
then you just solve for t, so subtract the 144 over
-144 = -16t^2
then divide by the -16
9 = t^2
then take the square root of both sides
3 = t
therefore, it will take three seconds for the object to reach the ground.
Masteriza [31]3 years ago
3 0

Answer:

The is answer is 3 seconds

Step-by-step explanation:

You might be interested in
What's the explicit formula for the sequence :")
zzz [600]

Hello from MrBillDoesMath!

Answer:

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,



Discussion:

The terms are 12, 9, 6, 3  so we are apparently subtracting 3 from each succeeding term. . Hence

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,


Thank you,

MrB

7 0
3 years ago
A total of 60% of the customers of a fast food chain order a hamburger, French fries, and a drink. If a random sample of 15 cash
Ne4ueva [31]

Answer:

C. 0.403

Step-by-step explanation:

Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.

We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?

The binomial probability distribution function for random variable X  is

P(X=x)=nCxp^{x} q^{n-x}

where q=1-p=1-0.6=0.4,n=15 and p=0.6.

P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)

P(X=10)=15C10(0.6^{10})( 0.4^{5}) =0.185938

P(X=11)=15C11(0.6^{11}) (0.4^{4}) =0.126776

P(X=12)=15C12(0.6^{12}) (0.4^{3}) =0.063388

P(X=13)=15C13(0.6^{13}) (0.4^{2}) =0.021942

P(X=14)=15C14(0.6^{14}) (0.4^{1}) =0.004702

P(X=15)=15C15(0.6^{15}) (0.4^{0}) =0.000470

P(X≥10)= 0.185938 +0.126776 +0.063388 +0.021942 +0.004702 +0.000470

P(X≥10)=0.403216

So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.

8 0
3 years ago
!!HURRY!!
horrorfan [7]
The answer would be 14
7 0
3 years ago
Read 2 more answers
PLEASE HELP ME IM BEGGING FASTTT
Aliun [14]

Answer:

the first one 20/4=5 the second one 13/4=13/4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the value of x? Round your answer to the nearest tenth if necessary.
katen-ka-za [31]

So to start off:

The equation you will want to use for the hypotenuse is

A (squared) + B (squared) = C (squared)

So you will want to fill in the equation like so:

7(7) + 4(4) = C (squared)

So now that you have your information filled out, put it all together!

49 + 16 = 65

Now don't forget that the 65 is SQUARED!

You will want to use the SQUARE ROOT method to help with that!

So what you will want to do is think of the numbers that are PERFECT SQUARES.

A perfect square consist of

Here is the list of perfect squares 1-10:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

So look closely at these perfect squares, Do you see where 65 will lie?

It will lie between 8 and 9.

So you will do the square root now.

√65

The answer will come out as:

<span>8.06225775</span>

<span>You will then round it to the nearest tenths place (one after the decimal)</span>

You will look at the two numbers behind the decimal which is

0.6.

As you know,(If you round the tenths place), if the number in the hundredths is 5 or HIGHER. It will round up the number in the tenths place to 1.

So as we know 6 is higher than 5 so your answer would be:

8.1

I hope this helped! :)

>^.^<

(      )~


3 0
3 years ago
Read 2 more answers
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