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Dahasolnce [82]
2 years ago
7

Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection. Which function f represents

the relationship between the number of stamps (s) and the number of weeks (w)?
A.
s = f(w) = 12 + 4w
B.
w = f(s) = 12s + 4
C.
s = f(w) = 12 + 4s
D.
w = f(s) = 12w + s
E.
s = f(w) = s – 12
Mathematics
1 answer:
Llana [10]2 years ago
6 0

The function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection.

The number of stamps is s and the number of weeks is w.

s = f(w) = 12 + 4w

Because Every week, he adds 4 more stamps to the collection

Thus, the function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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A traffic engineer monitors the rate at which cars enter the main highway during the afternoon rush hour. From her data she esti
sertanlavr [38]

Answer:

On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.

Step-by-step explanation:

Given that, the rate R(t) at which cars enter the highway is given the formula

R(t)= 100(1-0.0001t^2)

The average rate of car enter the highway during first half hour of rush hour is the average value of R(t) from t=0 to t=30.

\therefore \int_0^{30}  100(1-0.0001t^2)\ dt

=[100(t-0.0001\frac{t^3}{3})]_0^{30}

=100[(30-0.0001\frac{30^3}{3})-(0-0.0001\frac{0^3}{3})]

=2901

The average rate of car is =\frac{\textrm{The number of car}}{Time}

                                           =\frac{2910}{30}

                                          =97

On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.

8 0
3 years ago
Find the distance between the points (-10, -9) and (-7, -1).
QveST [7]

Answer:

Distance: 8.5440037453175

Step-by-step explanation:

Distance: 8.5440037453175

Steps:

Distance (d) = √(-7 - -10)2 + (-1 - -9)2

= √(3)2 + (8)2

= √73

= 8.5440037453175

Slope and Angle:

ΔX = -7 – -10 = 3

ΔY = -1 – -9 = 8

Slope (m) =  

ΔY

ΔX

=  

8

3

= 2.6666666666667

θ =  

arctan( ΔY )

ΔX

= 69.443954780417°

Equation of the line:

y = 2.6666666666667x + 17.666666666667

or

y =  

8 x

3

+  53

3

When x=0, y = 17.666666666667

When y=0, x = -6.625

3 0
3 years ago
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Miranda bought 8 books about animals, 3 books about outer space, and 4 books about trains. Each book cost $5. How much did Miran
Svetradugi [14.3K]
She spent $75

The best news of this problem is that the books all cost the same.

So 8 + 3 + 4 = 15 books total
15 x $5 = $75
4 0
3 years ago
Read 2 more answers
Find the value of x.<br><br> help
Komok [63]

Answer:

X=62

Step-by-step explanation:

X=62 because the side where x is and where the other degree is, they are congruent. And since you have to add 12 it would have to be 62 to be equal to 74.

7 0
3 years ago
Compare -8 and 3. Which statement is not true?
siniylev [52]

Answer:

B

Step-by-step explanation:

it is the opposite of A, which is true, as |-8| = 8

4 0
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