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frez [133]
2 years ago
8

draw a plane containing four coplanar points A,B,C,and D with exactly three collinear points A,B, and D

Mathematics
1 answer:
alukav5142 [94]2 years ago
4 0
A, B , D are point of line t, which is contained in plane P.

C is not on this line, so C is not collinear with the rest of the points.<span />

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The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. Which equation models t
masya89 [10]
PH is a parameter that tests the acidity or basicity of a substance or a solution. In this case, the formula to be followed is pH = –log[H+]. To get the H+ concentration from the pH, we manipulate the equation by raising both sides by the base of 10. Thus, 10^ -pH = H+. with pH of 7.2, thus the answer to this problem is C<span>[H+] = 10^-7.2</span>
5 0
2 years ago
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Mr. jovanovski is having wood flooring put in his rectangular living room. the area of the room is 234 square feet. the length o
OlgaM077 [116]
By definition the area of a rectangle is:
 A = l * w
 Where,
 l: long
 w: width
 So we have to clear the width:
 w = A / l
 Substituting the values:
 w = (234) / (18) = 13
 w = 13 feets
 answer
 the width, in feet, of the room is 13
5 0
2 years ago
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Find an equation of the plane consisting of all points that are equidistant from (-3, 5, -4) and (-5, 0, 4), and having -2 as th
Firdavs [7]

Answer:

-2x-5y+8z+4.5=0

Step-by-step explanation:

Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so

d_1=\sqrt{(x-(-3))^2+(y-5)^2+(z-(-4))^2}=\sqrt{(x+3)^2+(y-5)^2+(z+4)^2}\\ \\d_2=\sqrt{(x-(-5))^2+(y-0)^2+(z-4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\d_1=d_2\Rightarrow \sqrt{(x+3)^2+(y-5)^2+(z+4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\(x+3)^2+(y-5)^2+(z+4)^2=(x+5)^2+y^2+(z-4)^2\\ \\x^2+6x+9+y^2-10y+25+z^2+8z+16=x^2+10x+25+y^2+z^2-8z+16\\ \\-4x-10y+16z+9=0\\ \\-2x-5y+8z+4.5=0

5 0
2 years ago
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After placing an equation into his calculator Rob got the following table. He then determine that X=6 when f (x) = -4 is he corr
icang [17]

Answer:

No, unless the function decides to follow a different pattern. See more explanation below.

Step-by-step explanation:

He is wrong, the table doesn't tell us what happens at x=6.

It does tell us the following:

1) When x=-4, f(x)=6.

2) When x=-2, f(x)=3.

3) When x=0, f(x)=-1.

4) When x=2, f(x)=-4.

So maybe he got it the x and f(x) value switched in his brain.

Because according to 1) x=-4 when f(x)=6.

If the points keep having x increase while y decreases, then every x>2 will have a y less than -4 correspond to it.

4 0
2 years ago
From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a
Akimi4 [234]

Answer: 2.845

Step-by-step explanation:

The formula to find the standard deviation is given by :-

\sigma=\sqrt{n(1-p)p}, where p is the probability of getting success in each trial and n is the sample size.

Given : Sample size : n=110

The proportion of employees older than 55 and considering retirement : p=0.08

Then, the standard deviation is given by :-

\sigma=\sqrt{110(1-0.08)0.08}\approx2.845347079\approx2.845

Hence, the standard deviation for the sampling distribution of the sample proportions is 2.845.

3 0
2 years ago
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