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charle [14.2K]
2 years ago
15

Will give brainliest!!

Mathematics
1 answer:
Alex787 [66]2 years ago
8 0

By factoring, the simplified form of given terms would be:

1. 9rs = 9 × r × s

2. 14xy = 7 × 2 × x × y

3. 32x² = 2 × 2 × 2 × 2 ×2 × x × x

4. 30x² = 5 × 2 × 3 × x × x

5. 25y³ = 5 × 5 × y × y × y

6. 9xy = 9 × x × y

7. 12x^4 =  3 × 2 × 2 × x × x × x × x

For given question,

We have been given some mathematical expressions.

We need to simplify each term by factoring.

Factoring is nothing but to factor a number means to break it up into numbers that can be multiplied together to get the original number.

Now we simplify each expression by factoring:

1. 9rs = 9 × r × s

2. 14xy = 14 × x × y

           = 7 × 2 × x × y

3. 32x² = 8 × 4 × x × x

            = 2 × 2 × 2 × 2 ×2 × x × x

4. 30x² = 10 ×3 × x²

             = 5 × 2 × 3 × x × x

5. 25y³ = 5 × 5× y³

            = 5 × 5 × y × y × y

6. 9xy = 9 × x × y

7. 12x^4 = 3 × 4× x × x × x × x

             =  3 × 2 × 2 × x × x × x × x

Therefore, by factoring, the simplified form of given terms would be:

1. 9rs = 9 × r × s

2. 14xy = 7 × 2 × x × y

3. 32x² = 2 × 2 × 2 × 2 ×2 × x × x

4. 30x² = 5 × 2 × 3 × x × x

5. 25y³ = 5 × 5 × y × y × y

6. 9xy = 9 × x × y

7. 12x^4 =  3 × 2 × 2 × x × x × x × x

Learn more about an factoring here:

brainly.com/question/28201305

#SPJ4

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Give the “best” big-oh notation to describe the complexity of the algorithm that prints all bit strings of length n.
artcher [175]

It is correct to state that a bit can be in one of 2 states, either 1 or 0.

<h3>What is a bit?</h3>

A bit is is a single binary digit. A bit can either be "1" or "0".

<h3>What is the explanation to the above answer?</h3>

We stated that It is correct to indicate that a bit can be in one of 2 states, either 1 or 0. This indicates that 2ⁿ strings must be created in total. The string must then be processed twice.

  • The first time, for generation and
  • The second for reading.

Hence, Our time is now O(2ⁿ⁺¹) = O(2ⁿ)

Learn more about bits at;
brainly.com/question/2263640
#SPJ1

4 0
2 years ago
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is
wolverine [178]

Answer:

The differential equation is \frac{dR}{dt} = -kR

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

\frac{dR}{dt}

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

\frac{dR}{dt} = -kR

7 0
3 years ago
Does this equation represent a function?<br> Answer Yes
snow_lady [41]

Answer:

yes

Step-by-step explanation:

ur welcome

brainliest pls

xd

7 0
3 years ago
Solve the following exponential equations.<br> 10^(3x−5) = 7^x
zalisa [80]

Answer:

x = 2.3202

Step-by-step explanation:

Given equation:

10^{(3x-5)} = 7^x

on taking log both sides, we get

\log(10^{(3x-5))} =\log(7^x)

now,

using the property of log function

log(aᵇ) = b × log(a)

therefore,

we get

(3x-5)log(10) = xlog(7)

now,

log(10) = 1

and

log(7) = 0.84509

thus,

( 3x - 5 ) × 1 = 0.84509x

or

3x - 0.84509x - 5 = 0

or

2.15491x = 5

or

x = 2.3202

4 0
3 years ago
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Solnce55 [7]

Answer:

y = 3x + 2

y = 6x – 3

y = 2/3x + 6

y = –1/3x – 4

y = 2x + 1

Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

7 0
3 years ago
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