The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count for a serving of food can be computed using the formula C=4h+9f+4p, where his theof grams of carbohydrate contained in the serving, is the number of grams of fat contained in the serving, and is the number of grams of protein contained in the serving

A serving of a certain type of but contains 12 grams of fat, 6 grams of carbohydrate, and 5 grams of protein. How many calones are in this serving of ruts?

There are calories [___] in this serving of nuts

Answer:9/12

Step-by-step explanation:

The cost of 300g of potatoes and 300g of carrots varies depending on the location and the time of year. However, in general, potatoes are typically cheaper than carrots.

According to the USDA National Nutrient Database, the average price for a pound of potatoes in the United States in September 2023 was $0.62, while the average price for a pound of carrots was $0.77. This means that 300g of potatoes would cost about $0.36, while 300g of carrots would cost about $0.44.

Therefore, the difference in cost between 300g of potatoes and 300g of carrots is about $0.08.

However, it is important to note that these prices are just averages and may vary depending on the specific store or market. It is also important to keep in mind that the price of both potatoes and carrots can fluctuate throughout the year.

Answer:

  138.06 lb N86.1°E

Step-by-step explanation:

There are several ways you can work this. One of the most straightforward is to resolve each vector into its north and east components, add those, and then covert the result back to magnitude and direction.

A diagram can help immensely.

We note that S78°E is the same as E12°S. Since we're used to seeing the coordinate system with the +x axis aligned with east, it can be convenient to think of the first force as 100 lb at -12°.

The angle of the second force is N53°E, which can be expressed as E37°N. Then in x-y coordinates, this force is 50 lb at +37°.

The components of the sum are the sum of the components:

  R = F1 +F2 = (100cos(-12°) +50cos(37°), 100sin(-12°) +50sin(37°))

  = (137.747, 9.300)

The the magnitude of the resultant is computed using the Pythagorean theorem:

  ||R|| = √(137.747² +9.300²) ≈ 138.06

and the angle is computed using the arctangent function. Here, our diagram tells us the angle is in the first quadrant, so is positive (relative to +x, or East).

  ∠R = arctan(9.300/137.747) ≈ 3.9°

__

We want to express the answer in terms similar to the way the given forces are expressed, so we want the angle relative to north. The resultant is then described by ...

  R = 138.06 lb at N86.1°E

For x = 10, f(x) = f(10) = 0.01(2)^10 = 10.24

For x = 17, f(x) = f(17) = 0.01(2)^17 = 1310.72

Now using formula for the calculation of average rate of change of f(x).

(f(b) – f(a)) / b – a = (f(17) – f(10)) / 17 – 10 = (1310.72 -10.24) / 7 = 185.78

Answer:

the answer is b

Step-by-step explanation:

According to the recipe the ratio of sparkling water to grape juice = 1 1/2 : 3/4.

Let us convert 1 1/2 into improper fraction and that is 3/2.

Now, 3/2: 3/4 or 3/2 ÷ 3/4 = 3/2 × 4/3 = 2/1 or 2:1.

Therefore, sparkling water quantity is two times of the quantity of grape juice.

Now, we need to find the number of quarts of sparkling water need to mix in 9 quarts of grape juice.

Since, sparkling water quantity is two times of the quantity of grape juice.

Therefore, we need 2 × 9 = 18 quarts of sparkling water to mix in 9 quarts of grape juice.

And now we need to find the number of quarts of grape juice would we need to mix with 15/4 quarts of sparkling water.

Therefore, we need 1/2 × 15/4 = 15/8 quarts of grape juice to mix with 15/4 quarts of sparkling water.

Answer:

a), b)

Step-by-step explanation:

a) The amount of sparkling water needed is determined by simple rule of three:

b) The amount of grape juice needed is found by simple rule of three: