Please Help Quickly!!!

If lim x--> 4 f(x) = 5

Please Help Quickly!!!If Lim X--> 4 F(x) = 5

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

Value of the function [tex]\lim_{x \to 4} \dfrac {g}{h}(x)[/tex] is zero.

Correct option is b.

What is limit?

Limits are defined as values ​​to which the function approximates the output for given input values. The limit is the unique real numbers. Given a real-valued function "f" and a real number "c", the limit is usually defined as [tex]\lim_{x \to c} f(x) = L[/tex]. We read that "the limit of f of x is equal to L as x approaches c". "lim" represents the limit, and the right arrow indicates that the function f(x) approaches the limit L as x approaches c.

Given functions,

[tex]\lim_{x \to 4} f(x) = 5 , \lim_{x \to 4} g(x) = 0, \lim_{x \to 4} h(x) = -2[/tex]

[tex]=\lim_{x \to 4} \dfrac {g}{h}(x)[/tex]

[tex]=\lim_{x \to 4} \dfrac {g(x)}{h(x)}[/tex]

[tex]=\dfrac{\lim_{x \to 4} g(x)} {\lim_{x \to 4} h(x)}[/tex]

= 0/-2

= 0

Hence, 0 is the value of function [tex]\lim_{x \to 4} \dfrac {g}{h}(x)[/tex] .

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Related Questions

Owen uses colored pencils on his homework assignment. His red pencil is 12.195 centimeters long. His blue pencil is 9.13 centimeters long.

What is the total length of these two pencils if he lines them up end to end

Enter your answer, as a decimal

Answers

Answer:

21.325 is the correct answer

please gimme brainliest :))!!

Answer: 21.325

Explanation: 12.195+9.13

a photograph of a full moon is enlarged so that the diameter is 8 times larger. how much larger is the circumfrence?​

Answers

Answer:

25.13

Step-by-step explanation:

Since the Diameter is 8 the equation to find the Circumference is pi time D

3.14 x 8 equals 25.13274...

let's recall that the radius of a circle is half of the diameter, now, if the diameter say "d" got enlarged 8 times, to it became 8d, then the radius "r" got enlarged 8 times as well, namely 8r.

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} r=8r \end{cases}\implies \stackrel{\textit{is 8 times larger than that of the original}}{C=2\pi (8r)\implies C=\stackrel{\downarrow }{8}[2\pi r]}[/tex]

Please answer quickly!!!

Answers

Answer:

1. 64cm² , 2. 240yd² , 3.≈220.5cm² , 4.≈193.4m² , 5. 38.6ft² , 6. ≈78.1yd² , 7. ≈120.7

Step-by-step explanation:

1. A=12x4.5+2x5 , 2. A=24x8+0.5x12x8 3. A=0.5x16x15+0.5x8²π ,4. A=7x15+0.5(15/2)² 12 ,5. A=3.6(16/2)+0.5x7x2.8 ,6. A=8(16/2)+0.5x9π ,7. A=(8/4)x5²xcot(180/8)

When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.
Which graph has the most appropriate scales and units for this situation?

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x----> the time in months

y ----> the total inventory of the warehouse

we know that

The linear equation that represent this situation is equal to

[tex]y=3,000x+6,000[/tex]

using a graphing tool

see the attached figure

Answer: Guessing this is off the test.

The graph with

6

12

18

21

30 should be correct.

Step-by-step explanation:

What is the midpoint of AC

Answers

ANSWER

B) (m+p,n+r)

The coordinates are :

A(2m,2n)

B(2p,2r)

To find the x-coordinate of the midpoint of AB, we add the x-coordinates of the two points and divide by 2.

[tex]x = \frac{2m + 2p}{2} [/tex]

Factor

[tex]x = \frac{2(m + p)}{2} [/tex]

Simplify:

[tex]x = m + p[/tex]

Similarly, the y-coordinate is

[tex]y = \frac{2n + 2r}{2} [/tex]

[tex]y = \frac{2(n + r)}{2} [/tex]

[tex]y = (n + r)[/tex]

Hence the midpoint is

(m+p,n+r)

Triangle ABC was rotated 90° clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4. Triangle A'B'C' is the resulting image. Compare the perimeters of ΔABC and ΔA'B'C'. Explain your reasoning.

Answers

Answer:

it is 170 degrees

Step-by-step explanation:

Answer: The image will be the same shape by all the sides will be 4 times larger than the original triangle but all 3 angles will be the same as the original.

Step-by-step explanation:

What is 15/7 as a mixed number

Answers

Answer:

Fraction can't be reduced (simplified). /7 = - 15/7 = - 2 1/7 = - 2.142857142857; Result written as a negative improper fraction, a mixed number (also called a mixed fraction) and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below.

Step-by-step explanation:

2 1/7 Is Your Answer.

First, divide the numerator (the 15) by the denominator (the 7). This will give

you 2, with a remainder of 1.

The mixed number can be created by using the 2 as the whole number, the 1 as the numerator

and the 7 as the denominator.

Please help will give brainliest

Answers

Answer:

[tex]b = 17[/tex]

Step-by-step explanation:

For this triangle we have to

[tex]a=18.2\\B=62\°\\C=48\°[/tex]

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

So

[tex]A + 62 +48=180\\\\A=180-62-48\\\\A=70\°[/tex]

Now we use the sine theorem to find the length of b:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17[/tex]

Simplify the number 8 ^2/3

Answers

Answer:

4

te ayudara en las ecuaciones

The value of  [tex]8^(^2^/^3^)[/tex]  is equal to 4 by exponent property

To simplify the number [tex]8^(^2^/^3^)[/tex]

we can apply the property of exponents which states that [tex](a^m)^n = a^(^m^\times^n^).[/tex]

Now [tex]8^(^2^/^3^)[/tex], which means we need to raise 8 to the power of 2/3.

Now, let's rewrite 8 as a power of a base that is a perfect cube:

8 = 2³

[tex](2^3)^(^2^/^3^)[/tex]

Applying the exponent property mentioned earlier, we multiply the exponents:

[tex]2^(^3 ^\times^2^/^3^)[/tex]

we get four, 4

Therefore,  [tex]8^(^2^/^3^)[/tex]  is equal to 4.

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PLEASE BRANLIESTTT
A pop star is coming for a live concert in your area. The ticket proceeds will benefit a nonprofit organization helping underprivileged children interested in music education. They would like to raise $1,500.

Stage-level seats are on sale for \$10 each and balcony-level seats are on sale for \$5 each. How many of each seat type would need to be sold to reach the goal of \$1,500?

You can set up an equation to help solve this problem. Translate the situation above by letting x represent the number of stage-level seats and by letting y represent the number of balcony-level seats.

Answers

Answer:

You would need to sell 100 of each

Step-by-step explanation:

$5 times 100 people equals $500.

$10 times 100 people equals $1,000.

$1,000+$500=1,500

I hope this helped!

Answer:

100 each

Step-by-step explanation:

What is the reverse of “multiply by 6”

Answers

Answer:

Divide by 6

Step-by-step explanation:

The reverse or inverse of multiply by 6 is divide by 6.

The distance around a circular park is 88 yards. What is the area of the park?

Answers

Answer:

A =  617 yd², to the nearest yard

That distance is called the "circumference," and its formula is C = 2πr.

We need r to find the area of the park.  So we solve C = 2πr for r:

          C

r   = -------    

        2π

Substituting 88 yd for C, we get r = (88 yd) / (6.28) = 14.01 yd

The formula for the area of this circular park is A = πr².

Here, r = 14.01 yd, so the area of this park is:

A = π(14.01 yd)² = 3.14(196.36 yd²) = 617 yd², to the nearest yard.

The area of the park is [tex]A = 617 yd^2[/tex], to the nearest yard.

That distance is called the circumference and

We have to determine the area of the park

What is the formula for the circumference of the circle?

The circumference of the circle is C = 2πr.

We need r to find the area of the park.

So we solve C = 2πr for r:

[tex]r=\frac{C}{2\pi}[/tex]

Substituting 88 yd for C,

We get r = (88 yd) / (6.28)

r= 14.01 yd

The formula for the area of this circular park is

A = πr².

Here, r = 14.01 yd, so the area of this park is,

[tex]A = \pi (14.01 yd)^2[/tex]

[tex]A = 3.14(196.36 yd^2)[/tex]

[tex]A = 617 yd^2[/tex], to the nearest yard.

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Which ratio is not equivalent to 5/3

Answers

4/3 I hope this helps

The initial count of a certain type of bacteria in a culture is 580. If the bacteria continually grow at the rate of 18% per hour, which function models the number of bacteria after t hours?

Answers

Answer:

[tex]P (t) = 580e ^ {0.18t}[/tex]   or  [tex]P (t) = 580 (1.18) ^ t[/tex]

Step-by-step explanation:

There are two models of exponential growth that you can use to predict the population of bacteria after t hours.

I) [tex]P (t) = pe ^ {rt}[/tex]

II) [tex]P (t) = p (1 + r) ^ t[/tex]

Where

p is the initial population of bacteria

r is the growth rate

t is the time in hours.

In this case we know that:

[tex]p = 580\\\\r = \frac{18}{100}\\\\r = 0.18[/tex]

Then the equations that can be used to predict the population of bacteria after t hours are:

I) [tex]P (t) = 580e ^ {0.18t}[/tex]

II)[tex]P (t) = 580 (1 + 0.18) ^ t[/tex]

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

Answers

Answer:

(5, - 9)

Step-by-step explanation:

Given

f(x) = (x - 8)(x - 2) ← in factored form

Find the zeros by equating f(x) to zero, that is

(x - 8)(x - 2) = 0

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x - 2 = 0 ⇒ x = 2

The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, hence

[tex]x_{vertex}[/tex] = [tex]\frac{8+2}{2}[/tex] = 5

Substitute x = 5 into f(x) for corresponding y- coordinate

f(5) = (5 - 8)(5 - 2) = (- 3)(3) = - 9

vertex = (5, - 9)

Answer: (5,-9)

Step-by-step explanation:

Make the multiplication indicated:

[tex]f(x) = x^2-2x-8x+16[/tex]

Add the like terms:

[tex]f(x) = x^2-10x+16[/tex]

Now find the x-coordinate of the vertex with this formula:

[tex]x=\frac{-b}{2a}[/tex]

In this case:

[tex]b=-10\\a=1[/tex]

Then:

[tex]x=\frac{-(-10)}{2(1)}=5[/tex]

Rewrite the expression with [tex]f(x)=y[/tex]

[tex]y = x^2-10x+16[/tex]

Now substitute [tex]x=5[/tex] into the function to find the y-coordinate of the vertex:

[tex]y = (5)^2-10(5)+16[/tex]

[tex]y =-9[/tex]

Therefore, the vertex is:

(5,-9)

Find the interest earned and the future value of an annuity with semiannual payments of $1,500 for 16 years into an account that pays 9% interest per year compounded semiannually.

Answers

Answer:

interest earned= 1853.98

the future value of an annuity= 2453.98

Step-by-step explanation:

Given Data:

Interest rate= 9%

time,t = 16 years

Semi-Annual payment, P= 600

n= 2 as Semi-Annual

At the end of 16 years, final investment A= ?

As per the interest formula for compounded interest

A= P(1+r/n)^nt

Putting the values in above equation

= 600(1+0.09/2)^32

= 2453.98

Interest earned = A-P

                          = 2453.98-600

                          = 1853.98 !

Which of the following are identities? Check all that apply.

Answers

Answer:

Options A and D.

Step-by-step explanation:

To check the identities we have to check each option given.

A. tan(x - π) = tanx

We take left hand side (L.H.S.) of the equation.

tan(π - x) = tanx [ since we know tan(π ± x) = tanx ]

So L.H.S. = R.H.S.

It's an identity.

B. sin(x + y) + sin(x - y) = 2cosx siny

We take L.H.S. first

sin(x + y) + sin(x - y)

= sinx coxy + siny cosx + sinx cosy - cosx siny

= 2sinx cosy ≠ R.H.S.

Option B is not an identity.

C. cos(x + y) - cos(x - y) = 2cosx cosy

We take L.H.S. of the equation.

cos(x + y) - cos(x - y) = cosx cosy - sinx siny - (cosx cosy + sinx siny)

= -2sinx siny ≠ R.H.S.

Therefore, option C is not an identity.

D. cos(x + y) + cos(x - y) = 2cosx cosy

We take L.H.S. of the equation.

cos(x + y) + cos(x - y) = cosx cosy - sinx siny + cosx cosy + sinx siny

                                  = 2cosx cosy = R.H.S.

Therefore, option D is an identity.

Options A and D are the identities.

The table below shows two equations:
Equation 1 |4x − 3|− 5 = 4
Equation 2 |2x + 3| + 8 = 3
Which statement is true about the solution to the two equations?
* Equation 1 and equation 2 have no solutions.
* Equation 1 has no solution, and equation 2 has solutions x = −4, 1.
* The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution. *
* The solutions to equation 1 are x = 3, −1.5, and equation 2 has solutions x = −4, 1.

Answers

Answer:

Option C is correct.

Step-by-step explanation:

Equation 1 |4x − 3|− 5 = 4

Adding +5 on both sides

|4x − 3|− 5 +5 = 4 +5

|4x − 3| = 9

Apply absolute rule:

IuI = a and a>0 then u = a and u = -a

so, 4x-3 = 9 and 4x-3 = -9

Solving

4x = 9+3   and 4x = -9+3

4x = 12      and 4x = -6

x = 12/4     and x = -6/4

x = 3          and x = -3/2 or -1.5

Equation 2 |2x + 3| + 8 = 3

Adding -8 on both sides

|2x + 3| + 8 -8 = 3 -8

|2x + 3|  = -5

Apply absolute rule:

IuI = a and a>0 then u = a and u = -a

But we cannot apply absolute rule because in our case a < 0 i.e -5

So, Equation 2 has no solutions.

Hence Option C The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution is correct.

Let me know the answer plz

Answers

Answer:

The correct answer option is H. 4374.

Step-by-step explanation:

We are given the following geometric sequence and we are to find its 8th term:

[tex]\frac{2}{9}, \frac{2}{3}, 2,...[/tex]

Here [tex]a_1=\frac{2}{9}[/tex] and common ratio [tex](r) = \frac{\frac{2}{3} }{\frac{2}{9} } =3[/tex].

The formula we will use to find the 10th term is:

nth term = [tex]a_1 \times r^{(n-1)}[/tex]

Substituting the values in the formula to get:

10th term = [tex]\frac{2}{9} \times 3^{(10-1)}[/tex]

10th term = 4374

The equation of a circle is given below.
(x-20)^{2}+(y-0.05)^{2} = 81(x−20)
2
+(y−0.05)
2
=81left parenthesis, x, minus, 20, right parenthesis, start superscript, 2, end superscript, plus, left parenthesis, y, minus, 0, point, 05, right parenthesis, start superscript, 2, end superscript, equals, 81
What is its center?
((left parenthesis

,,comma
))right parenthesis
What is its radius?
If necessary, round your answer to two decimal places.

Answers

Answer:

Part 1) The center is the point [tex](20,0.05)[/tex]

Part 2) The radius is equal to [tex]r=9\ units[/tex]

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

[tex](x-20)^{2}+(y-0.05)^{2}=81[/tex]

[tex](x-20)^{2}+(y-0.05)^{2}=9^{2}[/tex]

so

[tex](h,k)=(20,0.05)[/tex]

[tex]r=9\ units[/tex]

Match each cross section with its perimeter
64 inches
26 inches
48 inches
34 inches

Answers

Answer:

64 inches  : cross-section, cube, 16 inches

26 inches  : right rectangular prism, 10x 3 x 14 inches

48 inches  : cube with 12-inches edges

34 inches : rectangular prism, 5x12x4 diagonal of 13 inches

Step-by-step explanation:

right rectangular prism, 10x 3 x 14 inches

The cross-section is parallel to the base, so it cuts the height, maintaining the length and width.  So, we have:

P = 10 + 3 + 10 + 3 = 26 inches

cube with 12-inches edges

This time, the cross-section is done perpendicular to the base, but in this case it doesn't matter since it's a cube... so it could be done in any direction and it wouldn't change the result.

P = 12 + 12+ 12 + 12 = 48 inches

rectangular prism, 5x12x4 diagonal of 13 inches

The cut is done perpendicular to the base, but along a diagonal of 13 inches, so the height is preserved, and the diagonal length becomes the new side other than height.

P = 13 + 4 + 13 + 4 = 34 inches

cross-section, cube, 16 inches

Again, the cross-section is done parallel to the base, but in this case it doesn't matter since it's a cube... so it could be done in any direction and it wouldn't change the result.

P = 16 + 16 + 16 + 16 = 64 inches.

Answer:

points

Step-by-step explanation:

The probability of a given event is . If the experiment is repeated n times, what is the probability that the event does not occur in any of the trials?
ILL GIVE U BRAINLIEST AND 30 POINTS
HELP

Answers

Final answer:

The probability that a given event does not occur in any of the trials when an experiment is repeated n times is calculated using the formula (1 - P(A))^n, where P(A) is the probability of the event occurring in a single trial.

Explanation:

The question is about finding the probability that a given event does not occur in any of the trials when an experiment is repeated n times. Let's denote the probability of the event occurring as P(A) and the probability of the event not occurring as P(~A). The probability that an event does not occur in a single trial is 1 - P(A). Therefore, if the experiment is repeated n times independently, the probability that the event does not occur in any of these trials is given by (1 - P(A))^n. This formula arises from the principle that for independent events, the probability of both events A and B occurring is the product of their individual probabilities, P(A) and P(B). Since each trial is independent, and we are looking for the event not happening across all n trials, we multiply the probability of it not happening in one trial by itself n times.

Which is larger 0.08 or 0.028

Answers

Answer:

0.028

Step-by-step explanation:

0.08 Is Bigger Than 0.028

Consider the data set on the number line. Determine the interquartile range.
A) 3
B) 6
C) 14
D) 17

Answers

Answer:

b

Step-by-step explanation:

todo lol que tienes que hacer es hacer la cosa ricola sexta

when an exponent of a power is an even number and the base is a negative number, the value is always:
A. positive
B. negative
C. 0
D. none of the choices

Answers

Answer:

The correct answer option is A. positive.

Step-by-step explanation:

When an exponent or a power is an even number and the base is a negative number, the value is always positive.

Suppose we have a negative base [tex] - 3 [/tex] and a power which is even, lets say, [tex] 6 [/tex] so what we get is a positive value.

[tex](-3)^6=729[/tex]

Therefore, a negative base with even power is always a positive value.

Answer: A. positive

Step-by-step explanation:

We know that powers are written in this form:

[tex]b^m[/tex]

Where "b" is the base and "m" is the exponent.

By definition, the exponent indicates how many times to base must be multiplied by itself. Then, if the base is negative and the exponent is an even number, you get:

[tex](-3)^4=(-3)(-3)(-3)(-3)=81\\\\\\(-2)^2=(-2)(-2)=2\\\\\\(-5)^6=(-5)(-5)(-5)(-5)(-5)(-5)=15,625[/tex]

Therefore, when an exponent of a power is an even number and the base is a negative number, the value is always positive.

Find the median of the following data:
8, 17, 12, 14, 8, 21, 10, 11, 19, 20, 10, 5, 17, 12, 10, 20
O A. 10
O B. 16
O c. 12
O D. 14

Answers

The correct answer is C. 12

If you were to line up all the numbers in chronological order, the order would be: 5, 8, 8, 10, 10, 10, 11, 12, 12, 14, 17, 17, 19, 20, 20, 21. Twelve is the center of all the numbers. There's eight numbers on each side of 12. Hope this helps! Please mark brainliest! Thank you v much! :)

Answer:

C) 12

Step-by-step explanation:

Step 1: List the numbers in order from least to greatest. Take a look at the data and cross out numbers as you place them. There are 16 numbers. The order of these numbers are:

5, 8, 8, 10, 10, 10, 11, 12, 12, 14, 17, 17, 19, 20, 20, 21

Step 2: Cross out numbers from each side to the furthest left and right. By the time you do this, the remaining numbers should be 12 and 12.

Step 3: Find the median. Because there are two numbers left, you do this by adding the two remaining numbers and divinding them by 2. However, because they are the same number, you can safely say that the median is 12.


Which of the following shapes is convex?

Answers

D. Is a convex shape.

A convex shape will have no angles less than 180 degrees pointing inward. A, B, and C all have at least one of these angles. Whereas D, only has outward angles.

Only the shape D is convex structure.

What is convex?

A form that curves outward is convex.

We know that the convex structure has no inward shape.

In the shape A,B and C;

all of the shape have inward structure.

Whereas shape D has only outward structure.

Therefore, Only shape D is convex.

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Clara's class is going on a trip to the local science museum. Twenty-five students, one teacher, and three parents are going on the trip. The museum charges $3.50 admission for each student and $5.00 for each adult. How much will it cost for all the students and the adults to enter the museum?
Question 2 options:

a $87.50


b $101.50


c $102.50


d $107.50

Answers

Answer:

$107.50

Step-by-step explanation:

$3.50 = 1 STUDENT

$5.00 = 1 ADULT

TWENTY FIVE STUDENTS = $3.50 × 25 = $87.50

FOUR ADULTS (ONE TEACHER AND THREE PARENTS) = $5.00 × 4 = $20.00

TOTAL COST = $87.50 + $20.00 = $107.50

What are the steps needed to solve the following problem:

(2x - 3)(x + 4) = -5?

Answers

Answer:

it is very simple -5 =(5)(-1)=(x+4)(2x-3).so compare( 5)=(x+4) and (x=1) it can be solved by mind.....(2x^2)+5x-7=0 then

These are the steps.

1. Write out the equation.

2. FInd any whole numbers and put them together and find any variables and put them together, both in parentheses.

3. Solve both equations in parentheses.

4. Divide -5 by 3 to find x. The answer is on step 5.

[tex]1. (2x - 3)(x + 4) = -5\\2. (-3 + 4)(2x + x) = -5\\3. (1)(3x) = -5\\4. 3x = -5\\5. x = -1.66[/tex]

The first day of Sam's vacation was a Monday. What day of the week was the Day 36 of Sam's vacation?

A. Monday

B. Tuesday

C. Wednesday

D. Thursday​

Answers

Answer:

A. Monday

Step-by-step explanation:

The solution to this problem can be found by creating a table

If Day 1 was Monday, then

Mon    Tues      Wed      Thur    Fri      Sat      Sun

1              2           3             4        5        6          7

8             9           10           11        12       13        14

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

We can see that the multiples of 7 are falling on Sundays so we will divide 36 by 7 to get the closest multiple of 7 to 36.

The closest multiple of 7 near 36 is 35 so Day 35th will fall on Sunday and Day 36 will be on Monday

Hence, Option A is the correct answer..

Answer:

A. Monday

Step-by-step explanation:

The solution to this problem can be found by creating a table

If Day 1 was Monday, then

Mon    Tues      Wed      Thur    Fri      Sat      Sun

1              2           3             4        5        6          7

8             9           10           11        12       13        14

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

We can see that the multiples of 7 are falling on Sundays so we will divide 36 by 7 to get the closest multiple of 7 to 36.

The closest multiple of 7 near 36 is 35 so Day 35th will fall on Sunday and Day 36 will be on Monday

Hence, Option A is the correct answer..

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