Derive a formula for the bullet speed v in terms of D, T, and a measured angle θ between the position of the hole in the first d

Answer:

The area of the new pumpkin patch can be represented as    =  15 x² + 380 x + 2400

Step-by-step explanation:

Given as:

The length of the original patch is L = 40 meters

The width of the original patch is W = 60 meters

Thus, the area of the rectangular patch is calculated as Length × Width

Or, =  L × W

So,    =  40 meters × 60 meters

Or,   =  2400 meters²

Moreover, the width of the new patch becomes (40 + 3 x) meters

And the length of the new patch becomes (60 + 5 x) meters

Or,  =  L × W

Thus,  =  (40 + 3 x) meters × (60 + 5 x) meters

Or,    = 2400 + 200 x + 180 x + 15 x²

Or,    =  15 x² + 380 x + 2400

Therefore, the area of the new pumpkin patch is given by    =  15 x² + 380 x + 2400  Answer

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.

The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).

For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.

As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]

C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250

Thus, the range of this function is [0, 3250]

The value you are seeking is 2

Answer:

1. Calculate the sum of "a", "b" and "c".

2. The perimeter equation is:

Step-by-step explanation:

In this case, P denotes the triangle's perimeter while a, b, and c are the triangle's sides.

The definition states that the sum results from an addition operation. Thus, the statement "The perimeter P of a triangle equals the total of sides a, b, and c" means that the perimeter is determined by aggregating the lengths of the triangle's sides.

Consequently, you can express this in the following equation:

It is necessary for the value of m to exceed that of n. When binomials are multiplied, the middle term emerges from combining the outside and inside products. Thus, bx = –nx + mx, simplifying further leads to b = –n + m. When adding numbers that have opposite signs, we subtract their absolute values and retain the sign of the number with the larger absolute value. Since b is positive, m must indeed possess a greater absolute value.