What is the slope of the line that passes through the
points (2, 6) and (2, 9)?
0
3
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Answer:

∫ F dr= 1

c

Step-by-step explanation:

The correct question is -

Given - [tex]F = < \frac{sec^{2} x}{y} , - \frac{tan x}{y^{2} }>[/tex] and C : (0, 1) to [tex](\frac{\pi }{4} , 1)[/tex]

To find - Evaluate and input the result of the following integral.

Proof -

We know that,

dr = dx i + dy j

F = < F1, F2 >

Now, we know

[tex]d(\frac{tanx}{y }) = \frac{d}{dx}(\frac{tanx}{y}) + \frac{d}{dy}(\frac{tanx}{y})[/tex]

So,

[tex]\frac{d}{dx}(\frac{tanx}{y}) =\frac{1}{y} \frac{d}{dx}({tanx}) \\\\ = \frac{sec^{2} x}{y} \\\frac{d}{dy}(\frac{tanx}{y}) = tanx \frac{d}{dy}(y^{-1}) \\ = -\frac{tanx}{y^{2} }[/tex]

Now,

We can see that,

[tex]d(\frac{tanx}{y }) = \frac{sec^{2} x}{y} dx - (\frac{tanx}{y^{2} })dy[/tex]

So,

[tex]\int\limits^{}_C {F. dr} = \int\limits^{}_C d(\frac{tanx}{y} )\\= [\frac{tanx}{y} ]\limits^{(\frac{\pi }{4} ,1)}_{(0,1)}\\= [\frac{tanx}{y} ]\limits^{}_{(\frac{\pi }{4} ,1)} - [\frac{tanx}{y} ]\limits^{}_{(0,1)}\\= \frac{tan(\frac{\pi }{4} )}{1} - \frac{tan 0}{1}\\= 1 - 0\\= 1[/tex]

∴ we get

∫ F dr= 1

c

Answer:

A. 60+x=90

Step-by-step explanation:

Complimentary angles are angles that add to 90.

Answer:

70

Step-by-step explanation:

35 because the 4 segments have to total to 180

Answer:

The claim is true for all values of m.

Step-by-step explanation:

Given

[tex]y = 2 + mx[/tex]

Required

Which claim is true [See comment for options]

A linear equation is represented as:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

And the value of m knows no bound

i..e

[tex]m > 0[/tex]

[tex]m = 0[/tex]

[tex]m < 0[/tex]

Hence, (a) is correct

9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

__

Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.

Answer:

cost per tennis ball

Step-by-step explanation:

Answer:

Paul spent $12.65

Step-by-step explanation:

Create a system of equations where p is how much Paul spent and t is how much Tammy spent.

p + t = 37.85

p = t - 12.55

Solve by substitution:

p + t = 37.85

(t - 12.55) + t = 37.85

2t - 12.55 = 37.85

2t = 50.4

t = 25.2

Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55

p = t - 12.55

p = 25.2 - 12.55

p = 12.65

So, Paul spent $12.65

Answer:

0.22

Step-by-step explanation:

defective rate is 7 out of 100

defective rate of 4, or 3, or 2, or 1 defective is:

7/100 + 6/99 + 5/98 + 4/97 ≈ 22/100

The required probability for fewer than 5 defective rate is 0.10

An industrial machine produces widgets, but it has a 0.07 defective rate.

What is the probability?

Probability, can be define as the ratio of favorable events to the n number of total events.

defective rate fewer than 5

p of 4 defective + p for 3 defective+ p for 2 defective + p for  1 defective.

total p = 4/100 + 3/99 + 2/98 + 1/97 ≈ 0.10

Thus, The required probability for fewer than 5 defective rate is 0.10

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

6.5

Step-by-step explanation:

dude you can search this up

6 1/4

convert both mixed numbers into improper fractions:

multiply the denominator by the whole number and then add the numerator to convert into a improper fraction

4 3/4 = 18/4

1 3/4 = 7/4

then add the two numerators together

the denominator stays the same

18/4 + 7/4 = 25/4

then convert back into a mixed number:

find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.

Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4

Answer:

13.70

Step-by-step explanation:

a^2+b^2=c^2

a = side 1

b = side 2

c = hypotenuse

9.2^2 + b^2 = 16.5^2

272.25 - 84.64 = 187.61 =b^2

√187.61 = b = 13.697 = 13.70

Answer:

see I hope u understand

1. y = 4 * 2^x

2. y = 2(1/2)^x

I hope this helps you, have a good day!

Answer:

It should be -3/4

Step-by-step explanation:

I checked with another app

Answer:

17

Step-by-step explanation:

-5 is 17 points away from 12.

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500

Answer:

[tex](3)\ y = -x[/tex]

[tex](5)\ y = -3x -2[/tex]

Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

[tex]m = -1[/tex]

[tex](x_1,y_1) =(4,-4)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -1(x - 4) -4[/tex]

Expand

[tex]y = -x + 4 -4[/tex]

[tex]y = -x[/tex]

Solving (5):

[tex]m = -3[/tex]

[tex](x_1,y_1) = (1,-5)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -3(x - 1) - 5[/tex]

Expand

[tex]y = -3x + 3 - 5[/tex]

[tex]y = -3x -2[/tex]

Answer: B  - 3 3/4 cubic inches

Step-by-step explanation:

A = BH; B = wl

2 * 1 1/4 = B

B = 2 1/2

H = 1 1/2

2 1/2 * 1 1/2 = 3 3/4

Answer:

1) 7/3

2) Undefined

3) 1

4) 7/4

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.

Answer:

C. 4

Step-by-step explanation:

have a nice day! :)

Answer:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Answer:

ion know

Step-by-step explanation:

7/10 + 1/5 =

7/10 + 2/10  (1/5 x 2 = 2/10) = 9/10

10/10 - 9/10 = 1/10

therefore, 1/10 of the class rides on the school bus.

Answer:

4 swimmers

Step-by-step explanation:

Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

option A 12x is the correct answer

Answer:

1. Slope of JP is 2/3

2. Slope of LM is 2/3

3. The two segments are Parallel.

Step-by-step explanation:

1. Slope is easy to find out if you have a graph. Rise/Run is how I remember it. The only thing you have to do is count. If you count from P to J Down 2 unites, and left 3 units you get your answer.

2. Slope LM is the exact same as Slope PJ because they are parallel.

3They are parallel because they both have the same slope.

Answer:

3.705

Step-by-step explanation:

do 5% of 74.10

tell me if you get it right!!! :)

Answer:

the 3 one

Step-by-step explanation:

the rest would be like 0.9721111111 repeating but the 3 one won't be so its 3 one hive me brainlest

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation: