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Find the next 2 numbers in the pattern
-12, 60, -300, 1500, , .

Answers

Answer 1

Answer:

You are multiplying by -5 each time.

Multiply

1500 x -5 = -7500

-7500 x -5 = 37500

-12, 60, -300, 1500, -7500,37500

hope this helps

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Write the prime factorization of 20 using exponents

Answers

Prime factorization expresses an integer in terms of multiples of prime numbers. The prime factorization of 20 using exponents can be written as 2²×5¹.

What is prime factorization?

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

Prime factorization is when all those factors are prime numbers.

Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

The prime factorization of 20 using exponents can be written as,

20 = 1 × 2 × 2 × 5

= 2² × 5¹

Hence, the prime factorization of 20 using exponents can be written as 2²×5¹.

Learn more about prime factorization here:

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2 to the second power times 5

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Answers

Answer:

Step-by-step explanation:

Please help me thank you so much. Just not sure of my answers

Answers

Answer:

An interesting experiment is given. We need to address various questions based on our knowledge of calculus.

Step 2

Part (a)

Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours

Time taken for the radius to become 0 = t2 and the same can be obtained by solving:

r = 2 - √t2 = 0

Hence, t2 = 22 = 4 hours

Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours

Step 3

Part (b)

r(t) = 0.5t for 0 ≤ t ≤ 4

and

r(t) = 2 - √(t - 4) for t > 2

Step-by-step explanation:

Write an equation in point-slope from for a line that passes through the given set of points. (3,5) and (-6,-4)

Answers

y-y1=m(x-x1)

does this help or do you need help plugging in and finding slope?

Which system of equations has infinitely many solutions? 4 x + 2 y = 5. Negative 4 x minus 2 y = 1. Negative 10 x + y = 4. 10 x minus y = negative 4. Negative 8 x + y = 2. 8 x minus y = 0. Negative x + 2 y = 6. 7 x minus 2 y = 12.

Answers

Answer:

$\left \{ {{-10x+y=4} \atop {10x-y=-4}} \right.$

Step-by-step explanation:

Which system of equations has infinitely many solutions?

4 x + 2 y = 5 // -4x - 2y = 1

-10x + y = 4 // 10x - y = -4.

-8x + y = 2 // 8x-y = 0.

-x + 2 y = 6 // 7x-2y = 12.

It's important to know that a linear system of equations has infinitely many solutions when both equations represents the same line, that means one line is on top of the other one, that's why the shared infinite points.

In this case, notice that if we compare the second system, you would find that both equations are the same,

$\left \{ {{-10x+y=4} \atop {10x-y=-4}} \right.$

If we multiply the first equation by -1

$\left \{ {{10x-y=-4} \atop {10x-y=-4}} \right.$

Which means the system has infinitely many solutions, because both equations represent the same line, so the shared all possibles points.

Therefore, the right answer is the second choice.

Answer:

Step-by-step explanation:

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1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?