Find the value of x. Round to the
nearest tenth.
15.6 cm
8.8 cm
x = [ ? ]cm

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: 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

They are complementary angles. Equate the given to 180° and then proceed arithmetic operations. I hope it helps.

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:

A) 14/27 cubic cm

Step-by-step explanation:

Since you are solving for volume, you multiply all the sides.

2 1/3 × 1/3 × 2/3 = 14/27

Answer:

[tex](x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

[tex](x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex]

Step-by-step explanation:

In order to find the values of [tex](x+y)^5[/tex] and [tex](x+y)^6[/tex], you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).

[tex](x+y)^5[/tex] = [tex]\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex] = [tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex] = [tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex].

[tex](x+y)^6[/tex] = [tex]\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i[/tex] = [tex]\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6[/tex]= [tex]x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex].

Answer:

10/3 = 3.3333333...

Step-by-step explanation:

Point A -> (x₁,y₁) -> (0,1)

Point B -> (x₂,y₂) -> (3,11)

Slope -> (y₂-y₁)/(x₂-x1) -> (11-1)/(3-0) -> 10/3 -> 3.3333

Therefore, the slope of the line is 3.3 repeating

Answer:

m = 5.5

Step-by-step explanation:

m = (yB - yA) / (xB - xA)

= (11 - 0) / (3 - 1)

= 11/2 = 5.5

Answer:

Step-by-step explanation:

Volume formula:

The base is the pentagon, consisting of equal 5 triangles with the height of 4.1 ft and side of 6 ft.

Area of the base:

Volume:

Answer:

P.S when it says OVER it me like a fraction

and PLZ MARK ME BRAINLY

Step-by-step explanation:

Consider a circle of radius  8  centimetres. Recall that the centre angle in a circle is always 360˚ . However, a semi-circle is a circle cut in half. Hence, the centre angle for the semi-circle is cut in half, or has a measure of 180˚

Here's a diagram of what's going on.

Before applying the formula, let's convert 180˚  to radians.

180˚ over 1  times π over 180°

We will now use the formula to determine the area of this semi-circle.

A= 1/2 × π × 8²

A=1/2 × π × 64

A= 32πcm²

We can confirm this using the formula for area of a semi-circle, A= r²π over 2

A= 8²π over 2

A= 32πcm²

Same, so both formulae work.

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:

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

Answer:

4 swimmers

Step-by-step explanation:

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.

9514 1404 393

Answer:

  5.1

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(25°) = x/12

  x = 12·sin(25°)

  x ≈ 5.1

Answer:

what is question 10?

Step-by-step explanation:

Answer:

option A 12x is the correct answer

Short Answer: arc LM = 110°

Comment

Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case  down ) are equal. This is a fundamental fact about circles.

Equation

2x + 55 =  x + 55

the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.

Conclusion

Both angles = 55

But that's not what you are asked for.

What you are asked for

You want to know the measure of arc LM.  

The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of  arc LM

Draw a dot where the center of the circle is and call it O. Draw in <MOL  

<MOL = 2* either of the 55° = 2 (<LKM)  = 2 * 55 = 110° That's a property of the central angle.

The measure of arc LM = 110°

Answer:

(-2, 1).

Step-by-step explanation:

When f(x) = 0

4 + 2x = 0

2x = -4

x = -2.

Ehen f(x) = 6

4 + 2x = 6

2x = 6-4 = 2

x = 1.

Answer:

Y=X+1=2+1=3

Step-by-step explanation:

{

X

=

2

Y

=

3

Explanation:

Combining the two equations, we find:

2

X

−

1

=

Y

=

X

+

1

Subtract

X

from both ends to get:

X

−

1

=

1

Add

1

to both sides to get:

X

=

2

Then:

Y

=

X

+

1

=

2

+

1

=

3

Answer:

2/3 + ( -2 1/3) = -1 2/3

Step-by-step explanation:

Answer:

it would be 375 minutes

Step-by-step explanation:

Answer: [tex]10\left(\cos90^{\circ}+i\sin90^{\circ}\right)[/tex]

Step-by-step explanation:

Given

The complex number is [tex]z_1=0+10i[/tex]

Complex number in polar form is given by

[tex]z=r\left(\cos \theta +i\sin \theta\right)[/tex]

Compare it with the given complex number

[tex]r=10[/tex] and [tex]\sin \theta=1[/tex] which implies [tex]\theta[/tex] must be [tex]90^{\circ}[/tex]

So, in the polar form, it is

[tex]z_1=10\left(\cos90^{\circ}+i\sin90^{\circ}\right)\\z_1=10e^{i\frac{\pi}{2}}[/tex]

Answer:

cost per tennis ball

Step-by-step explanation:

Answer:

[tex]x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree[/tex]

[tex]y = 2[/tex]

Answer:

Your answer is the second option; Option B; 90.

So, m∠2 is a right triangle, due to lines CE, and FD being perpendicular. Right Triangles are always 90.

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:

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:

Nathan Hale

Step-by-step explanation:

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation: