How many solutions does this system of equations have???
2x+3y=6
y=-2/3x-1

Answers

Answer 1
Answer: 2x+3y=6\n \n 3y=-2x+6\n \n y=-(-2x)/(3)+2\n

System has no solution.

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HELP ASAP!! PLEASE AND THANK YOU!!!!Given ABCDE ~ LMNOP and CD = 16, DE = 18, and NO = 12, what is OP?

Answers

ABCDE and LMNOP are similar.
This means that each corresponding side scales by the same amount from one to the other.

AB scales to LM just as BC does to MN...

and CD to NO just as DE does to OP!

Now, let's make a proportion.

NO/CD = OP/DE

12/16 = OP/18

Simplify...

3/4 = OP/18

13.5 = OP

A number is selected at random from the set {2, 3, 4, … 10}. Which event, by definition, covers the entire sample space of this experiment?a. The number is greater than 2.
b. The number is not divisible by 5.
c. The number is even or less than 12.
d. The number is neither prime nor composite.
e. The square root of the number is less than 3.

Answers

let's do process of elimination

a) 2 is part of the set and 2 is not greater than 2. NO

b) 5 and 10 in the set are divisible by 5. NO

c) 2,4,6,8,10 are even but the rest are odd ( BUT note the word "or"). the rest are less than 12. YES

d) 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). NO

e) the square root of 9 is 3 so the maximum number is 9 (but what happened to 10?) NO

For our given sample, the only true statement is:

c. The number is even or less than 12.

Which event, covers the entire sample space of this experiment?

The sample for the experiment is the set:

{2, 3, 4, 5, 6, 7, 8, 9, 10}

So, we need to see which ones of the statements are true for every digit in that set.

For example:

a "The number is greater than 2."

Is false, because the outcome can be 2, as 2 belongs to the set.

The true statement is:

c. The number is even or less than 12. (all the numbers are less than 12).

If you want to learn more about sets:

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A bird with a mass of 1.5 kg flies at a rate of 4.0 m/s. What is the kinetic energy of the bird?

Answers

The answer is 12 J.

The kinetic energy (KE) of an object is expressed as the product of half of the mass (m) of the object and the square of its velocity (v²):
KE = (1)/(2) m*v^(2)

The unit of the kinetic energy is Joules (J = kg · (m/s)²).

It is given:
m = 1.5 kg
v = 4 m/s

It is unknown:
KE = ?

Thus:
KE = (1)/(2) m*v^(2)
KE = (1)/(2) 1.5kg*(4 m/s)^(2)
KE = 0.75kg*16(m/s)^(2)
KE = 12 kg*(m/s)^(2)
KE = 12J

Therefore, the kinetic energy of the bird is 12J.

Answer:

12J

Step-by-step explanation:

A bird with a mass of 1.5 kg flies at a rate of 4.0 m/s. What is the kinetic energy of the bird?

3.0 J

12 J

30 J

120 J

A topical cream is sold in a 34-gram container. The average amount of topical cream used per application is 2\7 grams. How many applications can be made with the container?

Answers

Since an application is 2/7 grams.

Number of applications =  34 ÷  2/7

=  34 × 7/2

= 17 × 7

=  119

Number of applications = 119

Final answer:

This is a division problem. You find the number of applications by dividing the total weight of the cream (34 grams) by the amount used per application (2/7 grams), which gives us 119 applications.

Explanation:

This is a problem of simple division under the topic of arithmetic in mathematics. You are given a total quantity of topical cream (34 grams) and you know how much is used per application (2/7 grams). So, the number of applications can be found by dividing the total quantity by the amount used per application.

To calculate, divide 34 (the total weight of the cream) by 2/7 (the amount used per application).

This gives us, 34 ÷ (2/7) = 119,

 Therefore, you can make 119 applications with the container of cream.

Learn more about Division here:

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6,282 in scientific notation would be _____?

Answers

Answer:

6.282* 10^3

Step-by-step explanation:

In the scientific notation we write a very large number or very small number as the product of a number between 0 to 9 and an exponent of 10,

Now, when we make a number between 0 to 9 by shifting decimal to left side then the power of 10 is positive number of shifting,

Here, the given number,

6,282

By the above explanation,

the scientific notation of 6,282 is 6.282* 10^3

The scientific notation of 6,282 is 6.282 x 10³

Hope I helped!! :-)

What is the answer ​

Answers

line r is parallel because they don’t intersect