Answer:

**Answer:**

0

**Step-by-step explanation:**

We want to compute the curve integral (or line integral)

where the **force field **F is defined by

F(x,y) = (y, -x)

and C is the path consisting of the line segment from (1, 5) to (0, 0) followed by the line segment from (0, 0) to (0, 9).

We can write

C =

where

= line segment from (1, 5) to (0, 0)

= line segment from (0, 0) to (0, 9)

so,

Given 2 points P, Q in the plane, we can parameterize the line segment joining P and Q with

*r(t) = tQ + (1-t)P for 0 ≤ t ≤ 1*

Hence can be parameterized as

for 0 ≤ t ≤ 1

and can be parameterized as

for 0 ≤ t ≤ 1

The derivatives are

and

In consequence,

Answer:
### Final answer:

### Explanation:

### Learn more about Work done by a force field here:

The work done by the force field F = (y, -x) along the given path is -5 Joules. This was calculated by breaking the path into two segments and calculating the work done for each segment.

To calculate the work done by the force field **F = (y, -x)** when moving an object along a specific path, we utilize the concept of the line integral or the dot product of the force and the displacement vector. We can break down the given path into two line segments and solve each separately.

The first segment is from (1, 5) to (0, 0). Only the x component of the displacement is non-zero here, the force is F = (5, -1). Thus the work done on this segment is given by **W = F.d = Fd cos θ = -(5 N)(1 m)(cos(180)) = -5 J**, where J stands for Joules, the unit of work or energy.

The second segment is from (0, 0) to (0, 9). The force and displacement are perpendicular so the work done is 0.

By adding the work done on these two segments, we arrive at the total work done: **W_total = -5 J + 0 J = -5 J**

#SPJ3

A zoo has 400 animals. If 40% of the animals are sick, how many animals isthat

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: {H0:p=0.35Ha:p≠0.35 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Provide your answer below:

hi can someone help me with is problem on how to break it down so I can explain it to my daughter. please.

Are they equal or diffrent angles

A television is 36 inches by 18 inches. What is the area?

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: {H0:p=0.35Ha:p≠0.35 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Provide your answer below:

hi can someone help me with is problem on how to break it down so I can explain it to my daughter. please.

Are they equal or diffrent angles

A television is 36 inches by 18 inches. What is the area?

**Answer:**

hey. pls complete your question.

2. Regular pentagon PENTA has side lengths that are 9 meters long. To the nearest square meter, find the area of the pentagon.

Area of pentagon PENTA = _____square centimeter

1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.

2) Regular pentagon PENTA with side lengths 9 m

The area of each figure, rounded to the nearest integer

**1)** The area of a trapezoid is given by

... A = (1/2)(b1 +b2)h

... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77

**The area of BEAR is about 77 cm².**

**2)** The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...

... A = (1/2)ap

... A = (1/2)(s/(2tan(180°/n)))(ns)

... A = (n/4)s²/tan(180°/n)

We have a polygon with s=9 and n=5, so its area is

... A = (5/4)·9²/tan(36°) ≈ 139.36

**The area of PENTA is about 139 m².**

**Answer:139 cm squared**

** The area of a trapezoid is given by**

**... A = (1/2)(b1 +b2)h**

**... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77**

**The area of BEAR is about 77 cm².**

** The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...**

**... A = (1/2)ap**

**... A = (1/2)(s/(2tan(180°/n)))(ns)**

**... A = (n/4)s²/tan(180°/n)**

**We have a polygon with s=9 and n=5, so its area is**

**... A = (5/4)·9²/tan(36°) ≈ 139.36**

**The area of PENTA is about 139 m².**

Agree. 50 is a smaller

asnwerplsssssssss

**Answer:**

4(4x - 2) = x + 4

16x - 8 = x + 4

15x = 12

x = 12/15 = **4/5**

**Answer:**

x = 0.8

**Step-by-step explanation:**

4(4x - 2) = x + 4

16x - 8 = x + 4

16x - x = 4 + 8

15x = 12

x = 0.8

**Answer:**

1/12

**Step-by-step explanation:**

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

**Answer:**

I need some more context

**Step-by-step explanation:**