Use Green's Theorem to evaluate the line integral along the given positively oriented curve.

∫ c(y+e√x)dx+(2x+cosy2)dy,

C is the boundary of the region enclosed by the parabolas

y=x^2 and x=y^2

Answer:

Answer:

The computation is shown below;

As we know that

The simple interest is

Simple interest = Principal × rate × time

For Account A, the principal would be

2 = Principal × 3.2% × 3

So, the principal is $20.83

For account B, the principal would be

38.50 = Principal × 2.2% × 30

So, the principal is $58.33

Now the interest for both the accounts are as follows

For account 1

= $20.83 × 3.2%

= $0.67

And, for the account 2

= $58.33 × 2.2%

= $1.28

As it can be seen that the account 2 has the highest interest

The same is to be considered

Step-by-step explanation:

Answer:

x5

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

EDGE 2023

Answer: The area of rectangle U is 12.

Step-by-step explanation:

We can solve this by finding the ratio of the two rectangle lengths which are given. We see that the ratio is 2/1. Now, from here you have two options to go. The first option is dividing 48 / 8 which is 6. Now you divide 6 / 2, because 2 is the scale factor. 6 / 2 = 3. 4 * 3 = 12, giving us the area of 12. Another way to do it is since the scale factor is 2, the ratio of the areas are the scale factor squared. 48 / 2 ^ 2 = 48 / 4 = 12.

answer:

2,3

2,2

2,1

1,2

1,1

1,3

Those are the possible choices of selecting apples and pears.

If she randomly selects 1 apple and 1 pear then the possible choices are 6.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that, Mercedes can select from 2 types of apples and 3 types of pears.

Mercedes randomly selects 1 apple and 1 pear.

We need to find the number of possible choices does she have.

(2,3)(2,2)(2,1),(1,2)(1,1)(1,3)

The probability of choosing 1 apple from 2 apples will be 1/2.

The probability of choosing 1 pear from 3 pears will be 1/3.

Now the probability of choosing a apple and a pear will be

1/2×1/3

1/6

Hence, If she randomly selects 1 apple and 1 pear then the possible choices are 6.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Answer:

(0.806, 0.839)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.

This means that [tex]n = 3653, \pi = \frac{3005}{3653} = 0.823[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 - 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.806[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 + 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.839[/tex]

The answer is (0.806, 0.839)

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer:

28 x 6

Step-by-step explanation:

You times 28 with 6 snice, there are 6 sides.

28 x 6 = 168 meters

Answer: 168 meters

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

C. 4.

Answer:

The rectangle is 5 inches long by 19 inches wide.

Step-by-step explanation:

Let's start by listing what we know:

Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.

[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]

Now, let's solve the system of equations using substitution:

[tex]2w + 2l = 48[/tex]

[tex]2 (3l + 4) + 2l = 48[/tex]

[tex]6l + 8 + 2l = 48[/tex]

[tex]8l + 8 = 48[/tex]

[tex]8l = 40[/tex]

[tex]l = 5[/tex]

The length of the rectangle is 5 inches.

Now, let's use this to solve for the width.

[tex]w = 3l + 4[/tex]

[tex]w = 3(5) + 4[/tex]

[tex]w = 15 + 4[/tex]

[tex]w = 19[/tex]

The width of the rectangle is 19 inches.

Let's check our work:

[tex]2w + 2l = 48[/tex]

[tex]2(19) + 2(5) = 48[/tex]

[tex]38 + 10 = 48[/tex]

[tex]48 = 48[/tex]

The results match, so our answer is correct.

The rectangle is 5 inches long by 19 inches wide.

Answer:

17.1

Step-by-step explanation:

h=A/b

h= 316.35/18.5

h=17.1

Answer:

(1,-7)

Step-by-step explanation:

1) (5,-4). 4 units to the left will be (1,-4)

2) (1,-4). 3 units down will be (1,-7)

Answer:

See attached

Step-by-step explanation:

Review the picture

Answer:

probably g

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

Step-by-step explanation:

120=2/5t

120×5/2=t

t=600/2

t=300

hope it helps u

Answer:

70  cm

Step-by-step explanation:

Answer:

70 cubic feet

Step-by-step explanation:

First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:

2*5=10

Next multiply 10 by the 7 feet tall. You can write this like:

10*7=70

70 cubic feet is the answer

Answer:

Part a:

Since the calculated z= 8.1649 falls in the critical region  z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.

Part b:

P (Type II Error)=  0.6628

Step-by-step explanation:

The null and alternate hypothesis are

H0: μ1 ≥ μ2   against the claim Ha: μ1 < μ2

This is left tailed test

The critical region for this test at 0.10 ∝ is z < ± 1.28

The test statistic

z= x1-x2/ s/√n

z= 66-61/ 3/√24

z= 5/0.61238

z= 8.16486

Since the calculated z= 8.1649 falls in the critical region  z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.

Part b:

P (Type II Error)  = P ( accept H0/ H0 is false)

z ( ∝)= X-u/s/√n

1.28= X-61/0.61238

X= 61.7838

So I will incorrectly fail to reject the null as long as a draw a sample mean that greater than 61.7838

 The probability of a Type II error is given by

P (z> 61.7838-66/24)

P (z>- 0.42161)

From the tables

P (z>- 0.42161)=  0.6628

Answer:

56 m^2

Explanation: L=2, H=2, W=2, d = 6.63324958 m, TSA = 56 m^2, LSA = 48 m^2, TSA = 4 m^2, BSA = 4 m^2, V = 24 m^3

Answer:

There are 20 odd numbers between 10 and 50

Step-by-step explanation:

Here are all the odd numbers! Hope this helps!

11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49

Answer:

[tex]y\leq 3x-2[/tex]

Step-by-step explanation:

Answer:

ima say its a that is my lucky guess im sorry if you get it wrong

Answer:

[tex]13[/tex]

Step-by-step explanation:

let the unknown number be x

[tex]x + ( - 9) = 4 \\ x - 9 = 4 \\ x = 4 + 9 \\ x = 13[/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day!

Answer:

95°

Step-by-step explanation:

95°

They are vertical angles.

Answer:

95 degree write it fast jakakkaoaoa

Answer:

d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Answers:  -2 and 2

Explanation:

The solutions to a graph are the same as the roots, zeros, or x intercepts. The x intercept is the location of the curve where it crosses or touches the x axis. In this case, it does so when x = -2 and x = 2.

Answer:

yhe picture is blur.

Step-by-step explanation:

Answer:

A. I

Step-by-step explanation:

The other person is wrong and I took the test