Answer:
The simplified expression is 2x + 1
Step-by-step explanation:
We are given the following in the question:

We have to simplify this expression.
The logarithmic function is the inverse of the exponential function. Thus, we can write

Thus, the simplified expression is 2x + 1
I believe the answer is b
Answer:
23.3333333333...
Step-by-step explanation:
10 x 7 = 70
70/3 = 23.333333333...
We are given a volume of 160 fluid ounces of chemical which is added to a container that holds 120,000 gallons of water. Assuming that the chemical has the same density as water, we just need to convert 120,000 gallons to ounces.
A conversion factor is taken from literature, 1 gallon is equivalent to 128 fluid ounces. So 160 fluid ounces is only 1.25 gallons, thus occupying minimal space in the container. The employee could add more of the chemical in the container. He can actually add 15360000 fluid ounces in total.
Answer:
Step-by-step explanation:The model will be of length 0.4 ft and the width being 0.28 feet
Step-by-step explanation:
Step 1.We know that the length of the building is 200 feet, and that the width of the building is 140 feet.
Step 2. the question tells us that "a 1/500 model is built of the building", meaning the problem wants to create a model using the ratio 1 feet for each 500 feet.
Step 3.So now to find the length and width of the model, we need to divide the given sides by 500.
Step 4. Side length of the Model = 200/500 = 2/5 = 0.4 feet
Step 5. Side width of the Model = 140/500 = 14/50 = 0.28 feet
There for giving us our final answer... "The model will be of length 0.4 feet and width 0.28 feet."
Hope I could help! :)