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LiRa [457]
3 years ago
13

107/ 10 to the fourth power, simplified and kept in exponential form.

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

1.07^(-2)

Step-by-step explanation:

First, figure out what 10 to the fourth power is. This will give us 10,000.

Now, divide 107 by 10,000. That gives us 0.0107. Now put this in exponential.

In expoential, we get 1.07^(-2)

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Find an equation of a plane containing the line r = ⟨−5, 1, 0⟩ + t ⟨7, −8, 4⟩ which is parallel to the plane 4x + 1y −5z = −24.
Ipatiy [6.2K]

1-Find an equation of the plane.

The plane that passes through (8,0,-1)

and contains the line x=4-4t , y=1+5t , z=4+2t

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2-Find an equation of the plane.

The plane that passes through the point (-2,2,2)

and contains the line of intersection of the planes

x+y-z=3 and 3x-y+5z=5

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3-Find an equation of the plane.

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=2

and is perpendicular to the plane x+y-4z=3

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4-Where does the line through

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8 0
3 years ago
For each of the sequences below, enter either diverges if the sequence diverges, or the limit of the sequence if the sequence co
Tanzania [10]

Answer:

As n tends to positive infinity, we have that,

A. 5/n + n/5 ---- converges

B. 5^-n. -----------converges

C. Sin n/5n------ converges

D. 5n + 5/n ------diverges

Step-by-step explanation:

5 0
3 years ago
What is 6.025 as a fraction
Svetllana [295]
<span>6025/1000 for a decimal fraction</span>
5 0
4 years ago
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Two circles have the same radius. Complete the description for whether the combined area of the two circles is the same as the a
Elodia [21]

Answer:

see below

Step-by-step explanation:

A = pi r^2

If they have the same radius they have the same area

A two circles = pi r^2 +pi r^2

                      = 2 pi r^2

If we double the radius

A = pi (2r)^2

   = pi 4r^2

The combined area of two circles is  1/2  the area as the area of a circle with twice the radius.

5 0
3 years ago
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Quadrilateral ABCD is a rectangle. If AG = -7j + 7 and DG = 5j + 43, find BD
Kaylis [27]

<em>BD</em> = 56

Step-by-step explanation:

Step 1: In rectangle, the diagonals are congruent and bisect each other.

So, <em>AC</em> = <em>BD</em>

⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>

⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>

⇒ 2<em>AG</em> = 2<em>GD</em>

⇒<em>AG</em> = <em>GD</em>

⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43

⇒–7<em>j</em> – 5<em>j</em> = 43 – 7

⇒–12<em>j</em> = 36

⇒<em>j</em> = –3

Step 2: <em>BD</em> = 2<em>DG</em>

<em>BD</em> = 2(5<em>j</em> + 43)

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     = 2(–15 + 43)

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     = 56

Hence, <em>BD</em> = 56.

4 0
3 years ago
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