The answer is the first row.
Explanation:
8 * 10^7 = 80,000,000 -- 2 * 10^4 = 20,000
80,000,000 divided by 20,000 = 4,000, so it is 4,000 times larger
Therefore, the first answer is correct.
Hope I helped and good luck!
Answer:
x = -2.5
Step-by-step explanation:
Step 1: Write equation
-6.2 - 12.6x = 5.8 - 7.8x
Step 2: Solve for <em>x</em>
<u>Add 12.6x on both sides:</u> -6.2 = 5.8 + 4.8x
<u>Subtract 5.8 on both sides:</u> -12 = 4.8x
<u>Divide both sides by 4.8:</u> x = -2.5
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)
-6.2 + 31.5 = 5.8 + 19.5
25.3 = 25.3
Answer:
Length = 2.823 in (to 3 decimal places)
Step-by-step explanation:
assuming that the box is a cubic box:
volume of box = 
in³ = 22.5 in³
volume = Length × Length × Length = (Length)³
∴ (Length)³ = 22.5
∴ Length = ∛(22.5)
using the calculator punch ∛(22.5), and the answer is:
∴ Length = 2.823 in (to 3 decimal places)
Answer:
D. n= 0 or n= 4/5
Step-by-step explanation:
Factor and set each factor equal to zero.
n
=
0
,
4
5
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
n
=
0
,
4
5
Decimal Form:
n
=
0
,
0.8
In the inverse we replace the place of x by y .
![g(x) = \sqrt[3]{x} - 3 \\ \\ x = \sqrt[3]{y} - 3 \\ \sqrt[3]{y} = x + 3 \\ y = {(x + 3)}^{3} \\ y = {(x + 3)}^{2} (x + 3) \\ y = ({x}^{2} + 6x + 9)(x + 3) \\ \\ y = {x}^{3} + 6 {x}^{2} + 9x + 3 {x}^{2} + 18x + 27 \\ \\ y = {x}^{3} + 9 {x}^{2} + 27x + 27 \\ \\ \\ g(x)^{ - 1} = {x}^{3} + 9 {x}^{2} + 27x + 27](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20-%203%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7By%7D%20%20-%203%20%5C%5C%20%20%5Csqrt%5B3%5D%7By%7D%20%20%3D%20x%20%2B%203%20%5C%5C%20y%20%3D%20%20%7B%28x%20%2B%203%29%7D%5E%7B3%7D%20%20%5C%5C%20y%20%3D%20%20%7B%28x%20%2B%203%29%7D%5E%7B2%7D%20%28x%20%2B%203%29%20%5C%5C%20y%20%3D%20%20%28%7Bx%7D%5E%7B2%7D%20%20%2B%206x%20%2B%209%29%28x%20%2B%203%29%20%5C%5C%20%5C%5C%20%20y%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%206%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20%2B%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2018x%20%2B%2027%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20%2B%2027%20%5C%5C%20%20%20%5C%5C%20%5C%5C%20g%28x%29%5E%7B%20-%201%7D%20%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20%2B%2027%20)
I hope I helped you^_^
