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konstantin123 [22]
3 years ago
7

The rate (in meters per second) that an object travels is the quotient of the distance (in meters) it travels and the time (in s

econds) it takes to travel that distance. A particle traveled the distance of 3x^2-12 meters for ( x + 2 )seconds. Write the rate of the particle as a rational algebraic expression in simplest form.
Mathematics
1 answer:
Svetach [21]3 years ago
7 0

Step-by-step explanation:

Rate

= Distance / Time

= (3x² - 12)m / (x + 2)s

= 3(x + 2)(x - 2)m / (x + 2)s

= 3(x - 2) m/s.

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Find the 6th term in the sequence 5, 20, 80
kicyunya [14]
Well the sequence is each number is multiplied by 4. 5*4=20. 20*4=80. 80*4=320. 320*4=1280. 1280*4=5120. The sixth term is 5120.
7 0
3 years ago
Read 2 more answers
The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook
kogti [31]

Answer:

34.86% probability that it will be huge​ success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge​ successes

This means that P(B) = 0.2

99 % of the huge successes received favorable​ reviews

This means that P(A|B) = 0.99

Probability of receiving a favorable review:

20% are huge​ successes. Of those, 99% receive favorable reviews.

30% are modest​ successes. Of those, 70% receive favorable reviews.

30% break​ even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568

Finally

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486

34.86% probability that it will be huge​ success

4 0
3 years ago
Solve all of these ?
kkurt [141]

21 Answer:

\frac{3}{a}

22 Answer:

\frac{1}{ {b}^{3} }

23 Answer:

\frac{ {4a}^{2}c^{3}  }{ {b}^{2} }

24 Answer:

9c ^{4}

25 Answer:

-  \frac{1}{ {a}^{2} }

26 Answer:

\frac{1}{ {c}^{2} }

5 0
3 years ago
Which of the following numbers is between 3/5 and 5/7
Vsevolod [243]

Numbers 8/9 and 47/70 are between 3/5 and 5/7

Step-by-step explanation:

  • Step 1: Find the equivalent decimal expressions of all the given fractions to find which ones are between 3/5 and 5/7

3/5 = 0.6 and 5/7 = 0.71

Option 1 ⇒ 1/2 = 0.5

Option 2 ⇒ 3/7 = 0.43

Option 3 ⇒ 8/9 = 0.89

Option 4 ⇒ 19/35 = 0.54

Option 5 ⇒ 47/70 = 0.67

∴ 8/9 and 47/70 lies between 3/5 and 5/7

5 0
3 years ago
Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of squ
denis23 [38]

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

(3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

8 0
3 years ago
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