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yKpoI14uk [10]
3 years ago
12

A company is trying out a new marketing technique that begin by asking One customer to tell three friends about a product in the

first week the next week each of those new customers tells three friends so three new people know about the product the first week 9 the second week in 27 the third week let W represent the number of weeks which algebraic expression models the situation
a. 3w
b. w^3
c. 3^w
d. 3w^3
Mathematics
2 answers:
Nostrana [21]3 years ago
5 0

Week 1 : 1 customer tells 3 friends

Week 2: 3 new customers tell 9 friends

Week 3: 9 new customers tell 27 friends

If w represents number of weeks, then (C) represents the model appropriately. Let's see how:

Putting w = 1 , 2 and 3 in each of the options

(A) 3w: 3 for week 1, 6 for week 2, 9 for week 3 ⇒ INCORRECT

(B) w^3: 1 for week 1, 8 for week 2, 27 for week 3 ⇒ INCORRECT

(C) 3^w: 3 for week 1, 9 for week 2, 27 for week 3 ⇒ CORRECT

(D) 3w^3: 3 for week 1, 24 for week 2, 81 for week 3 ⇒ INCORRECT

Hence, the answer is (C)


Vladimir [108]3 years ago
4 0

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of product in first week = 3

Number of product in second week = 9

Number of product in third week = 27

Let the number of week be 'w'.

So, algebraic expression of the number of product in w weeks would be

3^w

Hence, Option 'c' is correct.

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It takes 2 hours to drive 80 miles and 4 hours to drive 160 miles. Find the rate of change. I need this asap
natita [175]

Answer:

40 miles per hour

Step-by-step explanation:

80 divided by  2 is 40

160 divided by 4 is 40

5 0
3 years ago
What is the value of the expression (9+15)*3+2
dimulka [17.4K]
First do parenthesis the multiplication then add
9+15=24*3=72+2=74 :)hope this helps
3 0
2 years ago
RS=4y+4, ST=3y+4, and RT=43 <br> What is the value of y?
Shkiper50 [21]

The value of y is 5

<h3>How to determine the value </h3>

From the given line, it can be concluded that:

The segment RT is divided into RS and ST

But we have the following parameters

The length of the sides are:

  • RS=4y+4
  • ST=3y+4
  • RT=43

Since RT is RS added to ST:

We have;

RT = RS + ST

substitute the values

43 = 4y + 4 + 3y + 4

collect like terms

43 = 4y + 3y + 4 + 4

Add like terms

43 = 7y + 8

43 = 7y + 8

Make '7y' subject of formula

7y = 43 - 8

7y = 35

Make 'y' the subject of formula

y = 35/ 7

y = 5

Thus, the value of y is 5

Learn more about segments here:

brainly.com/question/2437195

#SPJ1

5 0
1 year ago
What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
1 year ago
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12
Zigmanuir [339]

Answer:

Step-by-step explanation:

2/12 = 1/6

24 * 1/6 = 4

or

12/24 = 2/x

12 x = 48

x = 4

or the original width was twice the length

twice 2 is 4

3 0
3 years ago
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