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kramer
1 year ago
5

a snowball is rolled down a giant hill. the radius of the snowball grows. every second the radius increases by 0.36 inches. four

seconds after it started rolling down hill it’s radius was 3.1 inches. find the linear function
Mathematics
1 answer:
Bad White [126]1 year ago
3 0

Based on the fact that the radius of the snowball increases by 0.36 inches every second, the linear function can be found to be y = 0.36x + 1.66

<h3>How to find the linear function?</h3>

The linear function is the function that shows how to change in the rate of the independent variable would affect the rate of change in the dependent variable.

The linear function takes the form:

y = mx + b

y = dependent variable

m = slope or change in radius of snowball

x = seconds

b = y-intercept

Solving for the y-intercept gives:

3.1 = 0.36(4) + b

b = 3.1 - 1.44

= 1.66

The linear function is therefore:

y = 0.36x + 1.66

Find out more on linear functions at brainly.com/question/28029655

#SPJ1

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Vertex form is
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The extreme value of this equation is a maximum at the point (2, 5).

3 0
2 years ago
PLEASE HELP ME! GIVING AWAY POINTS!<br><br> Solve.<br><br> 2+y−8=19
navik [9.2K]
Y=25 because 19-2+8 equals 25 so y = 25
5 0
2 years ago
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Merrill is playing a simple game of dice. For every 6 rolled, Merrill will win $5. For any other number, he must pay $2. How muc
Schach [20]

Solution -

The probability of getting 6 from a single roll of a fair dice = \frac{1}{6}

The probability of getting any other number rather than 6 would be 1-\frac{1}{6} = \frac{5}{6}

So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2

So

E(X) = Expectation value = (\frac{1}{6} )(5) - (\frac{5}{6} )(2)                                    ( ∵ $5 gain so +ve and $2 loss so -ve)

=\frac{-5}{6}

∴ So Merrill will lose \frac{5}{6} dollar


7 0
3 years ago
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3. 100x2-36y2 ??<br> ito pa guys pleasedddd!!
uranmaximum [27]

Answer:

4(5x - 3y)(5x + 3y)

Step-by-step explanation:

Assuming you require the expression factored.

Given

100x² - 36y² ← factor out 4 from each term

= 4(25x² - 9y²) ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

25x² - 9y²

= (5x)² - (3y)² ← with a = 5x and b = 3y

= (5x - 3y)(5x + 3y)

Thus

100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form

8 0
2 years ago
The third term of a sequence is 120. The fifth term is 76.8. Write an explicit rule representing this geometric sequence.
juin [17]
The nth term of the geometric sequence is:
an=ar^(n-1)
where 
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
4 0
3 years ago
Read 2 more answers
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