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Natasha2012 [34]
3 years ago
10

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Mathematics
2 answers:
mafiozo [28]3 years ago
8 0

Answer:  A

Step-by-step explanation:

avanturin [10]3 years ago
6 0

Answer:

a) 2.083

b) 4.713

I hope this helps. :) ( I also multiplied them to check)

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A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in
Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

s(t) =16t^2+32t

We can replace there s = 215 ft to get

215=16t^2+32t

Solving for the time t.

From the previous equation we can move all terms in one side to get

16t^2+32t-215=0

At this point we can solve for t using quadratic formula.

t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

where a, b and c are the coefficients of the quadratic equation

at^2+bt+c=0

So we get

a=16\\b=32\\c=-215

Replacing on the quadratic formula we get

t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}

Using a calculator we get

t=-4.8 , t = 2.8

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0
3 years ago
How do you work these types of problems out?
vitfil [10]

Answer:

3,000 kg (3.14)+1.5m^3  and that is math!

Step-by-step explanation:

5 0
3 years ago
Which of the following are not polynomials
tankabanditka [31]

Answer:

B and E

Step-by-step explanation:

A polynomial cant have a variable as a denominator nor a negative/fractional exponent

5 0
4 years ago
*URGENT*TEST TOMORROW*
Luden [163]

Answer:

"Dominic lived in Spain for 13 months and Columbia for 7 months."

Step-by-step explanation:

let months stayed in spain be "s" and months stayed in columbia be "c"

We can write 2 equations.

Since, lived in Spain and Columbia for a total of 20 months, we can write:

s + c = 20

Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:

120s + 150c=2610

Solving first for s:

s = 20 - c

Putting in 2nd and solving:

120(20 - c) + 150c = 2610

2400 - 120c + 150c = 2610

30c = 210

c = 7

Now,

s = 20 - c = 20 - 7 = 13

So

"Dominic lived in Spain for 13 months and Columbia for 7 months."

5 0
3 years ago
Read 2 more answers
Researchers have discovered a new genetic marker for a form of cancer. Twelve percent of the overall population carry this marke
In-s [12.5K]

Answer:

The probability that a person with the marker develops cancer is 0.0725.

Step-by-step explanation:

Let's denote the events as follows:

<em>A</em> = a person has cancer

<em>B</em> = a person carries the marker.

<u>Given:</u>

P (A) = 0.03

P (B) = 0.12

P (B|A) = 0.29

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}

Use the conditional probability formula to compute the probability that a person with the marker develops cancer.

P(A|B)=\frac{P(B|A)P(A)}{P(B)} =\frac{0.29\times0.03}{0.12}=0.0725

Thus, the probability that a person with the marker develops cancer is 0.0725.

3 0
3 years ago
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