Answer: 2561.7 pounds
Explanation:
If we assume the total weight of an airplane (in pounds units) as a <u>linear function</u> of the amount of fuel in its tank (in gallons) and we make a Weight vs amount of fuel graph, which resulting slope is 5.7, we can use the slope equation of the line:
(1)
Where:
is the slope of the line
is the airplane weight with 51 gallons of fuel in its tank (assuming we chose the Y axis for the airplane weight in the graph)
is the fuel in airplane's tank for a total weigth of 2390.7 pounds (assuming we chose the X axis for the a,ount of fuel in the tank in the graph)
This means we already have one point of the graph, which coordinate is:

Rewritting (1):
(2)
As Y is a function of X:
(3)
Substituting the known values:
(4)
(5)
(6)
Now, evaluating this function when X=81 (talking about the 81 gallons of fuel in the tank):
(7)
(8) This means the weight of the plane when it has 81 gallons of fuel in its tank is 2561.7 pounds.
Scientists could investigate this idea by making cathode ray tubes out of different materials to see if the ray was the same.
Answer:
no energy is lost or gained when molecules collide
molecules are constant, linear motion
Explanation:
Answer:
1. "Gage is beginning a low calorie diet, so he eats three servings of chicken for lunch" is equal to C: "Protein contains four calories per gram of fat, so it is a low fat, high energy food."
2. "Walter eats two servings of whole grain pasta the night before running a 5K" is equal to B: "Carbohydrates contain four calories per gram of fat, so they need to come from grains in moderation."
3. "Maggie eats half a candy bar and saves the rest for the next day" is equal to A: "Fatty foods contain nine grams of pure fat and have little nutritional value."
Explanation:
Chicken is a popular, low-fat food that provides an impressive amount of high-quality protein in just one serving. The breast is the leanest part of a chicken. A 3-ounce (85-grams) serving of roasted, skinless chicken breast contains only 3 grams of fat but provides 26 grams of protein (47).
Pasta is a fat-free, low sodium food that can fit right in with a weight loss or management plan. One cup of cooked pasta contains just 200 calories, in addition to valuable vitamins and minerals.
Sweets like candy, soft drinks, syrups, jams, and jellies are made mostly of sugars. Most of these foods do not contain many vitamins or minerals. So they are called "empty calorie" foods. Fats, oils and sweets are not bad foods.
Answer:
48.96V
Explanation:
Given parameters:
Resistance = 68Ω
Current = 0.72A
Unknown:
Voltage = ?
Solution:
According to ohm's law;
V = IR
V is the voltage
I is the current
R is the resistance
Now insert the parameters and solve;
V = 68 x 0.72 = 48.96V