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Andre45 [30]
3 years ago
8

Need help pleasethank you

Mathematics
1 answer:
ad-work [718]3 years ago
8 0
To divide like bases just subtract the exponents
answer is 2^(13-3) or 2^10 or 1024
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What are the solutions of x2 -2x+2=0​
sergejj [24]

Answer: x = 1 ± i

Step-by-step explanation:

Solving the quadratic equation using the quadratic formula:

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a} or \frac{-b-\sqrt{b^{2}-4ac } }{2a}

From the question :

a = 1

b = -2

c = 2

substituting inside the formula

X = \frac{-(-2)+\sqrt{(-2)^{2}-4(1)(2) } }{2(1)}  or

\frac{-(-2) - \sqrt{2^{2}-4(1)(2) } }{2(1)}

x = \frac{2 + \sqrt{4-8} }{2} or  \frac{2 - \sqrt{4-8} }{2}

x = \frac{2 + \sqrt{-4} }{2} or \frac{2 - \sqrt{-4} }{2}

Recall ; \sqrt{-4} can be written as \sqrt{-1} X \sqrt{4}, and \sqrt{-1} = i

Substituting this

x = \frac{2+2i}{2} or \frac{2-2i}{2}

simplifying, we have

x = 1 + i or 1 - i

3 0
3 years ago
Workland has a population of 10,000, of whom 7,000 work 8 hours a day to produce a total of 224,000 final goods. Laborland has a
kenny6666 [7]

Answer:

Workland has lower productivity but higher real GDP per person than Laborland.

Step-by-step explanation:

Consider the provided information.

Workland has a population of 10,000, of whom 7,000 work 8 hours a day to produce a total of 224,000 final goods.

Productivity = Output / Input

For Workland productivity is:

\frac{224,000}{7,000 \times 8}=\frac{224,000}{56,000}= 4

Laborland has a population of 5,000, of whom 3,000 work 7 hours a day to produce a total of 105,000 final goods.

For Laborland, productivity is:

\frac{105,000 }{3,000\times 7}=\frac{105,000 }{21,000 }= 5

Thus, Laborland has higher productivity .

To figure real GDP per person, divide output by population:

For Workland,

\frac{224,000}{10,000}= 22.4

for Laborland,

\frac{105,000 }{5,000 }= 21

Thus, Workland has a higher real GDP per person.

7 0
3 years ago
4.
lilavasa [31]

Answer:

The answer is A.

To find speed/rate of change, divide distance by time.

7 mi/ 1 hour= 7 mph

14 mi/2 hour= 7mph

Step-by-step explanation:

Answer: A.7 miles per hour

Step-by-step explanation:

Given: You run 7 miles in one hour and 14 miles in two hours.

We know that .. The rate of change of function= (change in distance)/(change in time)

Therefore, the rate of change of function for the given situation= (14-7)/(2-1)= (7)/(1)

Hence the rate of change of function for the given situation= 7 miles per hour.

6 0
3 years ago
Read 2 more answers
1) Consider the angle measurements. Which sides are congruent?
morpeh [17]

Answer:

The answer is A. AB and AC are congruent

3 0
2 years ago
What is the probability that the first die will have ""a natural number greater than 1 which can only be divisible by 1 and itse
balandron [24]

Answer:

The probability that the first die will have ""a natural number greater than 1 which can only be divisible by 1 and itself = 0.5

Step-by-step explanation:

A die has 6 faces with the following sample spaces 1, 2, 3, 4, 5 and 6

Then, a natural number greater than 1 which can only be divisible by 1 and itself is the definition of a prime number.

The prime numbers in the sample space are 2, 3 and 5

So, probability of getting a prime number in the sample space, P(prime numbers) = n(prime numbers)/[n(sample space)] = 3/6 = 1/2 = 0.5

7 0
3 years ago
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