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AnnZ [28]
3 years ago
15

Which of the scenarios include only independent events?

Mathematics
2 answers:
Marianna [84]3 years ago
6 0
INDEPENDENT IT WAS ON MY TEST
Nadusha1986 [10]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.
Dovator [93]

Answer:

The equation of the sphere in standard form is

x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0

Step-by-step explanation:

<u>Step 1</u>:-

The equation of the sphere having center and radius is

(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}

Given centered of the sphere is (-6,10,5) and radius r=5

(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}

on simplification,we get

using (a+b)^{2} =a^{2} +2 a b+b^{2}

using (a-b)^{2} =a^{2} -2 a b+b^{2}

simplify , we get

x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0

8 0
3 years ago
IT’S TIMED NEED HELP ASAP! Write the relationship between the sides for these two congruent triangles.
wolverine [178]

Answer:

Step-by-step explanation:

They're both right angle triangles and have the same length and size , hence congruency

4 0
3 years ago
Solve for t.<br><br> -5 − 2t = 3t
allsm [11]
T is equal to -1.
  1. <em>Add 2t to both sides of the equation.</em> -5 = 5t
  2. <em>Divide both sides of the equation by -5.</em> 1 = -t
  3. <em>Multiply both sides of the equation by -1.</em> -1 = t
4 0
3 years ago
Read 2 more answers
ASAP NEEEEED HELLLLLLLLLP PLZZZ
nadya68 [22]
T = 5 a
i = 4% aa
j = 1200
c = ...
j = cit/100
c = 100j / it
c = 100*1200 / 4*5
c = 120000 / 20
c = 12000/2
c = 6000

montante

M = c+j
M = 6000+1200
M = 7200
7 0
3 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos &#10;y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
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