If 1+1 = 2 then what does u + me = ?

Answer:

[tex] \dfrac{1}{2} [/tex]

Step-by-step explanation:

we are given a limit

and we want to simplify it

notice that, the numerator is in a sequence of sum of natural number

recall that,

[tex] \rm \displaystyle \: 1 + 2 + 3 + \dots {\dots }+ n = \frac{n(n + 1)}{2} [/tex]

so substitute:

[tex]\displaystyle \lim_{n\to \infty } \frac{ \dfrac{n(n + 1)}{2} }{ {n}^{2} } [/tex]

now recall L'Hôpital's rule

[tex] \displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)} [/tex]

first simplify the complex fraction:

[tex]\displaystyle \lim_{n\to \infty } \frac{n+ 1}{2n} [/tex]

apply L'Hôpital's rule:

[tex]\displaystyle \lim_{ n\to \infty } \frac{ \dfrac{d}{dn} n+ 1}{ \dfrac{d}{dn} 2n} [/tex]

simplify:

[tex] \dfrac{1}{2} [/tex]

and we are done:

Step-by-step explanation:

solution given:

The given expression takes a form[tex] \frac{ \infty }{ \infty } [/tex]

when n=[tex] \infty [/tex]

so,

[tex] \displaystyle \lim_{n\to \infty } \frac{1 + 2 + 3 + \dots {\dots} +n }{ {n}^{2} } [/tex]

[tex] \displaystyle \lim_{n\to \infty }\frac{n(n+1)}{ 2{n}^{2} }[/tex]

[tex] \displaystyle \lim_{n\to \infty }\frac{n+1}{ 2n}[/tex]

[tex] \frac{1}{2} [/tex]

[tex] \displaystyle \lim_{n\to \infty }[1+\frac{1}{ n}][/tex]

=[tex] \frac{1}{2} [/tex](1+[tex] \frac{1}{ \infty }) [/tex]

=[tex] \frac{1}{2} [/tex] is your answer

Answer:

9p/2 OR 4.5p

Step-by-step explanation:

9/2 ×p = 9p/2

9/2 =4.5×p

= 4.5p

Answer:

Radius = 2

Step-by-step explanation:

x² + y² - 10x + 8y + 37 = 0

Regroup terms

(x² - 10x) + (y² + 8y) = -37

Complete the square

(x² - 10x + 5²) + (y² + 8y + 4²) = -37 + 5² + 4²

(x² - 5)² + (y² + 4)² = 2²

Center (5,-4)

Answer:

1280

Step-by-step explanation:

16 times 8(times 10)

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

Use the Pythagorean theorem:

X = sqrt(10^2 - 6^2)

X = sqrt(100-36)

X = sqrt(64)

X = 8

Answer:

you can try nine but I am not really sure

Answer:

C

Step-by-step explanation:

At first glance, it seems like all the answers work. But some careful thinking allows us to find the correct answer.

For this question, we will be using the process of elimination.

First, we can eliminate D, because it does not provide any angles on line d, so we cannot prove that line c is parallel to line d.

Second, we can eliminate A. It seems that the 2 angles makes it so that lines c and d must be parallel, however, that is only true if lines a and b are parallel. Since we don't know whether or not lines a and b are parallel, we cannot prove that lines c and d are parallel, so we can eliminate this choice.

Third, we can eliminate B. Like the diagram in A, this diagram can only prove lines c and d are parallel if lines a and b are parallel, and since we don't know whether or not lines a and b are parallel, we cannot prove tat lines c and d are parallel, so we can eliminate this choice.

We are left with C, so the answer must be C.

Of course, just to make sure, we will also check diagram C. Because the 2 angles provided in the diagram are on line a and none are on line b, we do not need line a to be related to line b in any way, as such we can pretend that line b does not exist in this diagram. We can then see that lines c and d must be parallel for this diagram, or else the angles would not work, so C is correct.

Two angles whose sum is 180° are called supplementary angles. The correct option is C.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two parallel lines are cut by a transverse. The angles formed on the exterior of the parallel lines are known as the Exterior Angle.

Now, For two lines two be parallel in the given diagram the measure of the angle the exterior angle on the same side of the transverse should be supplementary to each other.

The diagram shows a pair of angle measure that proves lines c and d are parallel in option c. This is because lines c and d are parallel and a is transversal to the two lines. And the measure of the exterior angles formed on the same side of the transversal is supplementary.

Hence, the correct option is C.

Learn more about Supplementary angle here:

https://brainly.com/question/2882938

#SPJ2

Answer:

80

Step-by-step explanation:

(●'◡'●)

Answer:

C

............................

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

the distance between these two points is 3

Answer:

31.42

Step-by-step explanation:

circumference of a circle= 2* [tex]\pi[/tex]* r

2* 22/7 * 5 = 31.42 (2 dp)

Answer:

Step-by-step explanation:

These two expressions are definitely not equal.

4 7/9 is a repeating decimal:  4.77777 ...    (use your calculator)

whereqs 4.7 is NOT a repeating decimal.

Answer:

The absolute maximum is 4, and the absolute minimum is 2.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^4-3x^2+4[/tex]

And we want to find the absolute extrema of the function on the interval [-1, 1].

So, we will find the smallest and largest y-value within the interval. First, we can evaluate the function at its endpoints. So:

[tex]f(-1)=(-1)^4-3(-1)^2+4=2[/tex]

And:

[tex]f(1)=(1)^4-3(1)^2+4=2[/tex]

Our endpoints are (-1, 2) and (1, 2).

Recall that extrema only occurs at critical points. Critical points are where the derivative of the function equals 0. So, we can find the derivative of the function:

[tex]\displaystyle f'(x)=\frac{d}{dx}\left[x^4-3x^2+4\right][/tex]

Differentiate:

[tex]f'(x)=4x^3-6x[/tex]

Set the function equal to 0:

[tex]0=4x^3-6x[/tex]

Solve for x. Factor:

[tex]2x(2x^2-3)=0[/tex]

Zero Product Property:

[tex]2x=0\text{ or } 2x^2-3=0[/tex]

Solve for each case. Therefore:

[tex]\displaystyle x=0\text{ or } x=\pm\frac{\sqrt6}{2}[/tex]

The second case is outside of our interval. So we can ignore it.

Evaluate the function at x = 0:

[tex]f(0)=(0)^4-3(0)^2+4=4[/tex]

Therefore, for our function on the interval [-1, 1], the absolute maximum is 4, and the absolute minimum is 2.

Answer:

SU = 15sqrt2

TV = 15sqrt2

SW =(15sqrt2)/2

Step-by-step explanation:

Answer:

x=34

no

Step-by-step explanation:

a=16 b=30 c= x

16^2+30^2= c^2

256+900= c

c=√1156

√1156=34

Answer:

C i think

Step-by-step explanation:

Answer:

14,13 ft^2

Step-by-step explanation:

First of all we have to find the radius, that is diameter/2

In this case: 6/2 = 3ft

the area of a circle is:

radius^2 x π

in this case = 3^2 x 3,14 = 28,26 ft^2

The shape is a semicircle so we have to divided the area by two

28,26 : 2 = 14,13 ft^2

Answer: 35

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

can i get brainlist because brainly deleted all my answers for no reason

Answer:

22

Step-by-step explanation:

Given the following

GE = 3x - 11 FD = 2x

Let us assume GE is parallel to FD, hence GE = FD

3x - 11 = 2x

3x - 2x = 0+11

x = 11

Get GE

GE = 3x - 11

GE = 3(11)-11

GE= 33 - 11

GE = 22

Hence the length of GE is 22

Answer:

Because you first take 75% off of the first price then 25% off the discounted price

Example:

Lets say you have a item that cost $50 and you use a 75% discount card that will make the item $37.5. The you add an additional 25% off which will equal $9.38.

Answer:

C) Each side of the white square is the hypotenuse of a triangle.

Step-by-step explanation:

It can be observed in the diagram that the sides of the white square forms part of the sides of the triangles. Since the triangles formed are right angled, then the longest side of the triangle is the sides of the white square.

Therefore it can be inferred that, each side of the white square is the hypotenuse of a triangle. thus the correct choice of answer is C.

Answer:

<1 = 33

<2 = 90

<3 = 57

Step-by-step explanation:

<3 = 57 because of alternate interior angles

<2 + <3 + 33 = 180

<2 + 57 + 33 = 180

<2 + 90 = 180

<2 = 90

<1 + <2 + 57 = 180

<1 + 90 + 57 = 180

<1 + 147 = 180

<1 = 33

Answer:

5x + 4 ≤ 15

Step-by-step explanation:

Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15

$4 of jelly beans is a constant

$5 per pound is a variable : 5x

5x + 4 ≤ 15

Answer:

Step-by-step explanation:

450,000=2/3(3.14)r

450,000 times 3/2=2/3(3.14)r times 3/2

675,000=3.14r

675,000/3.14=3.14r/3.14

about 214968.15287=r

So now we know r. We can use it to find the area of the circle

Pi times r squared

3.14 times 214968.15287 squared

area equals about 15573.44815

The area of the hemisphere is 45065.41

The given parameters are:

Shape = Hemisphere

Volume = 450000

The volume is calculated as:

Volume = 2/3pi r^3

This gives

450,000=2/3 * 3.14 * r^3

Solve for r^3

r^3 = 450000 * 3/(2 * 3.14)

This gives

r^3 = 214968.152

Take the cube roots

r = 59.9

The area is then calculated as;

Area = 4pi r^2

This gives

Area = 4 * 3.14 * 59.9^2

Evaluate

Area = 45065.41

Hence, the area of the hemisphere is 45065.41

Read more about areas at:

https://brainly.com/question/24487155

Answer:

21/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%