Answer:
To completely fill the sandbox will cost $56
Step-by-step explanation:
First, we calculate volume of the rectangular-shaped sandbox:
We know that density of sand is 100 pounds per cubic foot. Then, to fill the sand box that has a volume of 8 cubic foot, we calculate by rule 3:
1cubic foot..............100 pounds
8 cubic foot.............x pounds
We will need 800 pounds of sand to fill the sandbox, then we can calculate by rule 3 the number of bags needed and next the total cost of them:
50 pounds.......1bag
800 pounds.....x bags
To calculate the cost:
1 bag ..................$3.50
16 bags.................$x
To completely fill the sandbox will cost $56
Answer:
Step-by-step explanation:
We'll take this step by step. The equation is
![8-3\sqrt[5]{x^3}=-7](https://tex.z-dn.net/?f=8-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-7)
Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:
![-3\sqrt[5]{x^3}=-15](https://tex.z-dn.net/?f=-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-15)
The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:
![\sqrt[5]{x^3}=5](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D%3D5)
Let's rewrite that radical into exponential form:
If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:
On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:
![x=\sqrt[3]{5^5}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E5%7D)
Let's group that radicad into groups of 3's now to make the simplifying easier:
![x=\sqrt[3]{5^3*5^2}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E3%2A5%5E2%7D)
because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:
![x=5\sqrt[3]{5^2}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B5%5E2%7D)
which is the same as:
![x=5\sqrt[3]{25}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B25%7D)
Answer:
The BLM presents awards to companies that minimize negative effects on the environment while mining natural resources. One such award is called the Hardrock Mineral Environmental Award. The BLM awards it to the mining company that has best fulfilled federal, state, or local requirements with little help from government agencies.
How does giving this award help the BLM more effectively manage land resources?
It prevents the companies from mining land resources such as gold and coal.
It informs companies about which minerals can be mined and which cannot be mined.
It encourages companies to follow rules set by government agencies.
It educates the companies about ways hard rock mining can destroy land resources.
Answer:
Step-by-step explanation:
i² = -1
-8(-1) + 3 = 8 + 3 = 11
Answer:
729
Step-by-step explanation:
x=27²=729
