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Karo-lina-s [1.5K]
3 years ago
5

Hey are using WordPress for your blog platform? I'm new to the blog world but I'm trying to get started and set up my own. Do yo

u require any coding knowledge to make your own blog? Any help would be really appreciated! Bcedkkkgfgee
Mathematics
1 answer:
Inga [223]3 years ago
7 0
Can you gimme 10 points
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Which of the following best defines 3 to the power of 2 over 3 ?
Hitman42 [59]
Abs and piper have a great time at the house
3 0
3 years ago
What is the equation for the plane illustrated below?
TiliK225 [7]

Answer:

Hence, none of the options presented are valid. The plane is represented by 3 \cdot x + 3\cdot y + 2\cdot z = 6.

Step-by-step explanation:

The general equation in rectangular form for a 3-dimension plane is represented by:

a\cdot x + b\cdot y + c\cdot z = d

Where:

x, y, z - Orthogonal inputs.

a, b, c, d - Plane constants.

The plane presented in the figure contains the following three points: (2, 0, 0),  (0, 2, 0), (0, 0, 3)

For the determination of the resultant equation, three equations of line in three distinct planes orthogonal to each other. That is, expressions for the xy, yz and xz-planes with the resource of the general equation of the line:

xy-plane (2, 0, 0) and (0, 2, 0)

y = m\cdot x + b

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where:

m - Slope, dimensionless.

x_{1}, x_{2} - Initial and final values for the independent variable, dimensionless.

y_{1}, y_{2} - Initial and final values for the dependent variable, dimensionless.

b - x-Intercept, dimensionless.

If x_{1} = 2, y_{1} = 0, x_{2} = 0 and y_{2} = 2, then:

Slope

m = \frac{2-0}{0-2}

m = -1

x-Intercept

b = y_{1} - m\cdot x_{1}

b = 0 -(-1)\cdot (2)

b = 2

The equation of the line in the xy-plane is y = -x+2 or x + y = 2, which is equivalent to 3\cdot x + 3\cdot y = 6.

yz-plane (0, 2, 0) and (0, 0, 3)

z = m\cdot y + b

m = \frac{z_{2}-z_{1}}{y_{2}-y_{1}}

Where:

m - Slope, dimensionless.

y_{1}, y_{2} - Initial and final values for the independent variable, dimensionless.

z_{1}, z_{2} - Initial and final values for the dependent variable, dimensionless.

b - y-Intercept, dimensionless.

If y_{1} = 2, z_{1} = 0, y_{2} = 0 and z_{2} = 3, then:

Slope

m = \frac{3-0}{0-2}

m = -\frac{3}{2}

y-Intercept

b = z_{1} - m\cdot y_{1}

b = 0 -\left(-\frac{3}{2} \right)\cdot (2)

b = 3

The equation of the line in the yz-plane is z = -\frac{3}{2}\cdot y+3 or 3\cdot y + 2\cdot z = 6.

xz-plane (2, 0, 0) and (0, 0, 3)

z = m\cdot x + b

m = \frac{z_{2}-z_{1}}{x_{2}-x_{1}}

Where:

m - Slope, dimensionless.

x_{1}, x_{2} - Initial and final values for the independent variable, dimensionless.

z_{1}, z_{2} - Initial and final values for the dependent variable, dimensionless.

b - z-Intercept, dimensionless.

If x_{1} = 2, z_{1} = 0, x_{2} = 0 and z_{2} = 3, then:

Slope

m = \frac{3-0}{0-2}

m = -\frac{3}{2}

x-Intercept

b = z_{1} - m\cdot x_{1}

b = 0 -\left(-\frac{3}{2} \right)\cdot (2)

b = 3

The equation of the line in the xz-plane is z = -\frac{3}{2}\cdot x+3 or 3\cdot x + 2\cdot z = 6

After comparing each equation of the line to the definition of the equation of the plane, the following coefficients are obtained:

a = 3, b = 3, c = 2, d = 6

Hence, none of the options presented are valid. The plane is represented by 3 \cdot x + 3\cdot y + 2\cdot z = 6.

8 0
3 years ago
Find the quotient of 2.632 · 104 and 2 · 10-7.
faust18 [17]
<span> 2.632 x 10^4  ÷  2 x 10-7 =

1.316 x 10^11


</span>
5 0
3 years ago
Read 2 more answers
How much is 2/3 - 1/6 =
Usimov [2.4K]

Answer:

1/2

Step-by-step explanation:

First create like dominators

2/3 -1/6  = 4/6 - 1/6

simplify using subtraction

4/6 - 1/6 = 3/6

Simplify the answer

3/6 = 1/2

6 0
3 years ago
Read 2 more answers
In a large population, 60 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that
Delvig [45]
<h3>Answer:    0.98976</h3>

===========================================================

Explanation:

60% of the people have been vaccinated, so 40% have not.

The probability of getting five people in a row that aren't vaccinated is (0.40)^5 = 0.01024

Subtract this from 1 to get the probability of at least one vaccinated person in the sample of five.

1-0.01024 = 0.98976

This works because the events "at least one vaccinated" and "none vaccinated" are complementary. One or the other must happen, which means the two probabilities add to 1.

6 0
2 years ago
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