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3 years ago

3x^2(4x^3-2x^2+7x-4)

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

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<h3>>> Given Question :</h3>

3x²(4x³ - 2x² + 7x - 4)

<h3>>> Required Solution :</h3>

12x⁵ - 6x⁴ + 21x³ - 12x²

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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

VashaNatasha [74]

Answer: kindly check explanation

Step-by-step explanation:

Find the distance between the following points :

1) (2, -3), (-2,-8)

2) (-4,-4). (5.-6)

3) (6, -1). (0,5)

4) (-1,-7). (-3,7)

Distance (d) between two points = ;

d = sqrt[(x2 - x1)² + (y2 - y1)²]

1.(2, -3), (-2,-8)

d =sqrt[(-2 - 2)² + (-8 - - 3)²]

d = sqrt[(-4)² + (-5)²]

d = sqrt[16 + 25]

d = sqrt(41)

d = 6.4

2) (-4,-4). (5.-6)

d =sqrt[(5 - - 4)² + (-6 - - 4)²]

d = sqrt[(9)² + (-2)²]

d = sqrt[81 + 4]

d = sqrt(85)

d = 9.2

3) (6, -1), (0,5)

d =sqrt[(0 - 6)² + (5 - - 1)²]

d = sqrt[(-6)² + (6)²]

d = sqrt[36 + 36]

d = sqrt(72)

d = 8.48

= 8.5

4) (-1,-7). (-3,7)

d =sqrt[(-3 - - 1 )² + (7 - - 7)²]

d = sqrt[(-2)² + (14)²]

d = sqrt[4 + 196]

d = sqrt(200)

d = 14.1

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3 years ago

The janitor at a school discovered a slow leak in a pipe. The janitor found that it was leaking at a rate of 4fl oz per minute.

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1 oz is 0.0078 gallons about,
4 oz is 0.03125 gallons
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1.875 gallons per hour

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3 years ago

The table shows the number of tickets sold for the school dance and the amount of money earned.

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Answer:

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3 years ago

The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st

Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$2 = 2.575*\frac{7.8}{\sqrt{n}}$

$2\sqrt{n} = 2.575*7.8$

$\sqrt{n} = \frac{2.575*7.8}{2}$

$(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}$

$n = 100.85$

Rounding up

We need a sample size of at least 101

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3 years ago

Read 2 more answers

Will award Brainliest and extra points to whoever can get me the correct answer the fastest:

svet-max [94.6K]

Y is less than or equal to 4, y is less than or equal to 14, x is less than or equal to 10, x is less than or equal to 20

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3 years ago