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3 years ago

All of the following are equivalent, except _____.

Mathematics

2 answers:

marusya05 [52]3 years ago

7 0

1. Given (12+3)x, we can sum the numbers in the parenthesis to get 15x

2. Given 12x+3x, we can factor x to get (12+3)x and get the same as 1.

3. Given (12+3x)x, we have to distribute the x and we have $12x+3x^2$

4. This expression is already simplified.

Artyom0805 [142]3 years ago

3 0

(12+3x)x

Step-by-step explanation:

(12+3)x = 15x

12x+3x = 15x

15x= 15x

(12+3x)x = 12x+3x^2

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A mosquito accelerates at a rate of 0.4 m/s2 for an unknown amount of time. How long did the mosquito atcelerate if its velocity

cestrela7 [59]

Answer:

3.25 seconds.

Step-by-step explanation:

We can use the formula <em>Final Velocity = Initial Velocity + Acceleration * Time </em> to solve this problem.

First, we plug in the values we already know, and then we solve like normal:

1.5 = 0.2 + 0.4*t

1.3 = 0.4 * t

3.25 = t

Therefore, the mosquito accelerated for 3.25 seconds.

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3 years ago

Type an equation for the following pattern! Please Help!!!

Helga [31]

Answer:

y=x+2

Step-by-step explanation:

1) Solve for m using the equation m=y2-y1/x2-x1 by plugging in any 2 coordinates from the table

2) After getting m, which is 1, you can solve for b by plugging in another coordinate. For example,the coordinate (1,3): 3=(1)1+b

3) You then solve for b, which is 2

Answer: y=x+2

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3 years ago

Thanks for your answer♡♡.

Crazy boy [7]

Answer: -1

Step-by-step explanation:

(2x(x+1)+2x(x-3))/(4x(x-3)(x+1)) = 2x/((x-3)(x+1))

(2x-2)/(2) = 2x

x-1 = 2x

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2 years ago

Answer the following questions and round your answers to 2 decimal places. 84% of all Americans live in cities with population g

nignag [31]

Answer:

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they live in cities with population greater than 50,000 people. Or they do not. The probability of a person living in a city with population greater than 50,000 people is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

84% of all Americans live in cities with population greater than 50,000 people.

This means that $p = 0.84$

If 50 Americans are selected at random, Find the probability that Exactly 42 of them live in cities with population greater than 50,000 people.

This is P(X = 42) when n = 50. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 42) = C_{50,42}.(0.84)^{42}.(0.16)^{8} = 0.1523$

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

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3 years ago

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Kazeer [188]

The sale price is 30% of the original price (70% reduction). So $156 is 30% of the original price. 10% of the original price is $52, therefore the original price is $520 (100% price).

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3 years ago

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