Answer:
625000
Step-by-step explanation:
x+12%= 700000
x*1.12=700000
x=700000/1.12
x=625000
Answer:
1. C. Yes, because a sum of cubes can be factored
2a. false
2b. false
2c. true
2d. false (based on what is written in the equation; refer to step-by-step)
Step-by-step explanation:
1. Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)
2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2
2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)
2c. You can factor using the perfect square rule, making it (a+b)^2
2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)
Answer:
x=
Step-by-step explanation:
Q= illumination
I = intensity
Q= I/d^2
Q_total = 
= 
now Q' = 0
⇒I
x=![\frac{16}{\sqrt[3]{2}+1 }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%5B3%5D%7B2%7D%2B1%20%7D)
[/tex]
x=
is the required point
Answer: I think Figure 4 is the correct one
Step-by-step explanation:
It is not possible to map the triangle MNP and CDE together using just a single translation in Figure 3. With Figure 4, we can use a translation to map the triangle MNP and the triangle CDE. Accordingly, in the diagram, the triangle MNP and the triangle CDE can be translated to each other.
Answer:
The number of fishing boats in the bay = 64.
Step-by-step explanation:
The total number of sailboats = 24
Let us assume the number if fishing boats in the bay = m
⇒ Ratio of fishing boats to sailboats in a bay = m : 24.
Now, the ratio of fishing boats to sailboats in a bay is 8 : 3.
So, by the RATIO OF PROPORTION:

⇒ m = 64
Hence the number of fishing boats in the bay = 64.