Mike is overdrawn at the bank by $18. His sister has $23 more than him. How much does
Mike's sister have?

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:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation:

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].

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

Answer:

n=7

r=2

combination=7*2=14☺️

Awnser : 14

Explanation : N = 7 An R = 2 ∴ 7 × 2 = 14

Hoped This Helped Have a Nice Day :)

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:

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:

[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:

Hi! The answer is 256 cubic inches! Hope I helped

Step-by-step explanation:

Answer:

The person is correct.  It is 256 cubic inches.

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:

509 adults 1 student

Step-by-step explanation:

2545÷5

Answer:

option A 12x is the correct answer

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:

1.false

2.false

3.false

Answer:

All three are false.

Step-by-step explanation:

Let's say a equaled 2 and b equaled 5.

For reference: |2| = 2 |5| = 5

2 > 5 - False

|2| > |5| - False

2 > |5| - False

Hope this helps!!

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:

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:

22?

I'm not sure but i will corect it if i'm wrong

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:

70

Step-by-step explanation:

35 because the 4 segments have to total to 180

Answer:

26 degrees

Step-by-step explanation:

It is the correct solution on delta math

Answer:

Step-by-step explanation:

Use the law of sines:

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:

8 < b

Step-by-step explanation:

since she reads more than 8 it marks out B and D and since b needs to be greater than 8, the answer would be 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

Answer:

[tex]=8 \dfrac{3}{4} jams[/tex]

Step-by-step explanation:

Given that:

Priya has [tex]1\dfrac{3}{4} \ cups \ of \ raspberries[/tex]

If she uses [tex]\dfrac{1}{5} cups \ on \ jam[/tex]

∴

Then she will be able to make:

[tex]=1\dfrac{3}{4} \div \dfrac{1}{5}[/tex]

[tex]= \dfrac{7}{4} \times \dfrac{5}{1}[/tex]

[tex]= \dfrac{35}{4}[/tex]

[tex]=8 \dfrac{3}{4} jams[/tex]

Answer:

3=¢

Step-by-step explanation:

yeahhhhhhh thank youiuuuuuuuuuuuu

Answer:

(B)

Step-by-step explanation:

v^2 = v0^2 + 2ax

a = (v^2 - v0^2) / 2x

= (20^2 - 10^2) / 200

= 1.5 m/s

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:

x<4

Step-by-step explanation:

3x<12

x<12/3

x<4

I hope this helps

Answer:x<4

Step-by-step explanation:

3x/3 < 12/3

Answer:

it would be 375 minutes

Step-by-step explanation: