40,000 = 4 * 10^4
0.000004 = 4 * 10^-6
The power of 10 exactly in between 4 and -6 is -1.
She started with 4 * 10^(-1) which is 0.4.
0.4 * 100,000 = 40,000
0.4/100,000 = 0.000004
The number she started with is 0.4.
The power is 10^5.
Answer:
333 in^3
Step-by-step explanation:
Circumference = pi *d
27 = pi*d
Replacing d with 2*r ( 2 times the radius)
27 = pi * 2 * r
Divide each side by 2
27/2 = pi *r
13.5 = pi *r
Divide by pi
13.5/ pi = r
We want to find the volume of a sphere
V = 4/3 pi * r^3
V = 4/3 pi (13.5/pi)^3
= 4/3 pi * (13.5)^3 / (pi^3)
4/3 pi/pi^3 * (13.5)^3
4/3 * 1/ pi^2 *2460.375
3280.5 / pi^2
Let pi be approximated by 3.14
380.5/(3.14)^2
332.7214086 in^3
To the nearest in^3
333 in^3
All you need to do is <u>Divide</u><u /> 84 from 672.
Answer:
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
Step-by-step explanation:
Given
![$\[x^2 + 22x + \underline{~~~~}.\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20%5Cunderline%7B~~~~%7D.%5C%5D%24)
Required
Fill in the gap
Represent the blank with k
![$\[x^2 + 22x + k\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20k%5C%5D%24)
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
<em />
Divide the coefficient by 2


Take the square of this result, to give k


Substitute 121 for k
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
The expression can be factorized as follows;




<em>Hence, the quadratic expression is </em>
<em></em>
Answer:
Part A: 4x = -5(x-18)
Part B: A and B both = 40 degrees
Step-by-step explanation:
Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.
So A = B
4x = -5(x -18)
4x = -5x + 90
9x = 90
x = 10
Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:
Angle B = -5(x - 18) = -50 + 90 = 40