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user100 [1]
3 years ago
12

Which expression is equivalent to 9^-2? O-81 O-18 O1/81 O1/18

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

Option C - 1/81

Step-by-step explanation:

9^(-2) = 1/(9^2) [ Because a^(-m) = 1/(a^m) ]

so, 1/(9²) = 1/81.

Hope this helps you.

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If you can help with as many as you can that would be greatly appreciated.
Solnce55 [7]
9.   0.26666
10. 2.375
11. 7/20
12. 206111/<span>50000</span>
6 0
3 years ago
Let p be the plane in space that intersects the x-axis at −5, the y-axis at −2, and the z-axis at 5. Find a vector v¯¯¯ that is
Lana71 [14]

Let P be the plane that intersects

  • x-axis at point (-5,0,0);
  • y-axis at point (0,-2,0);
  • z-axis at point (0,0,5).

Write the equation of the plane P:

\left|\begin{array}{ccc}x-(-5)&y-0&z-0\\0-(-5)&-2-0&0-0\\0-(-5)&0-0&5-0\end{array}\right|=0\Rightarrow \left|\begin{array}{ccc}x+5&y&z\\5&-2&0\\5&0&5\end{array}\right|=0.

Then

-10(x+5)+10z-25y=0,\\ \\2(x+5)-2z+5y=0,\\ \\2x+5y-2z=-10.

The coefficients at variables x, y and z are the coordinates of perpendicular vector to the plane. Thus

\vec{v}=(2,5,-2)\perp P.

Answer: \vec{v}=(2,5,-2).

7 0
3 years ago
A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of
Ksju [112]

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

5 0
3 years ago
Read 2 more answers
the senior class has 225 members. there are 55 more boys in the class than girls. how many boys and girls are there
Natasha_Volkova [10]

Answer:

85 girls and 140 boys

Step-by-step explanation:

6 0
3 years ago
A student expressed the sum of 2 whole numbers as 5 times (8+3).What are the 2 whole numbers?
Marta_Voda [28]

Well if the two numbers are equal to 5x(8+3).

Lets say that these two numbers are X and Y,

So that would be X + Y = 5(8+3)

which means X + Y = 55

You could write that as a fuctions Y = 55 - X

Now by using the graph you get and the X values of [0,55] ( This means every value from 0 to 55 ), you will get a X and Y value that if you added up together will give you the value of 8(5+33)

An examples for the answers would be

(0,55) (1,54) (2,53) (3,52) (4,51) (5,50) (6,49) ... it goes on until x reaches 55.

8 0
3 years ago
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