3 years ago

Which is the same as 10-2? A) 0.0001 B) 0.001 C) 0.01 D) 100

Mathematics

1 answer:

IceJOKER [234]3 years ago

3 0

The correct answer is C. This is because
10^-2 = 1/10^2 which is 0.01

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Vera_Pavlovna [14]

Answer:

add those numbers and dived by the

Step-by-step explanation:

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2 years ago

the distance between two cities on a map is 4 inches. if the map scale is 1 inch : 10 miles how far apart are the actual cities?

Bas_tet [7]

The cities are 40 miles apart

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3 years ago

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Solving system by elimination<br> 7x+2y=24<br> 8x+2y=30

icang [17]

7x+2y=24
<span>-8x-2y=-30 (multiplied each side by -1)
-x = -6
x = 6

</span>7x+2y=24
7(6)+2y=24
42+2y=24
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3 years ago

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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

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3 years ago

If b is the midpoint of AC, which of the following choices is the value of x?

katrin [286]

If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:

8x + 4 = 10x - 6

Solving for x:

4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)

So, x = 5, which is the second option given.

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3 years ago