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Alex787 [66]
2 years ago
9

2. Express the number 1750 as a product of prime factors of the form: p * qr * s

Mathematics
1 answer:
Artyom0805 [142]2 years ago
4 0

9514 1404 393

Answer:

  1750 = 2 · 5³ · 7

Step-by-step explanation:

It is often helpful to start with divisibility rules when finding prime factors of a small composite number.

The least-significant digit is even, so we know 2 is a factor.

  1750/2 = 875

The least significant digit is 5, so we know 5 is a factor.

  875/5 = 175

  175/5 = 35

  35/5 = 7

7 is a prime number, so we're done.

The factorization is ...

  1750 = 2 · 5³ · 7

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elena55 [62]

2/3 of 30 9/10 = (30*10 + 9)/10 = 309/10 kilograms of glass is blue or there are:


(2/3)(309/10) = (2*309)/(3*10) = (2*103)/10 = 206/10 = 10.6 kg of blue glass.

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2 years ago
Solve 4^x+2 = 2^x-1. What are the exact and approximate solutions?​
Juliette [100K]

Answer:

no solution

Step-by-step explanation:

examples: 4^1 + 2 = 2^ 1 -1 and the answer is 6 = 1 which is not true. So its gonna be hard for them to have a solution.

6 0
3 years ago
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Segment FG begins at point F(-2, 4) and ends at point G (-2, -3). Segment FG is translated by (x, y) → (x – 3, y + 2) and then r
Mariana [72]

Answer:

The length of the segment F'G' is 7.

Step-by-step explanation:

From Linear Algebra we define reflection across the y-axis as follows:

(x',y')=(-x, y), \forall\, x, y\in \mathbb{R} (Eq. 1)

In addition, we get this translation formula from the statement of the problem:

(x',y') =(x-3,y+2), \forall \,x,y\in \mathbb{R} (Eq. 2)

Where:

(x, y) - Original point, dimensionless.

(x', y') - Transformed point, dimensionless.

If we know that F(x,y) = (-2, 4) and G(x,y) = (-2,-3), then we proceed to make all needed operations:

Translation

F''(x,y) = (-2-3,4+2)

F''(x,y) = (-5,6)

G''(x,y) = (-2-3,-3+2)

G''(x,y) = (-5,-1)

Reflection

F'(x,y) = (5, 6)

G'(x,y) = (5,-1)

Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:

F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}

F'G' = 7

The length of the segment F'G' is 7.

8 0
2 years ago
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DedPeter [7]
.5 is the equivalent decimal for 1/2<span />
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3 years ago
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timurjin [86]

Answer:

I believe that it would be A+C+S but is there more to the question?

Step-by-step explanation:

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