Find the intercepts and the vertical and horizontal asymptotes

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

(x-3)²+(y+2)²=4

Step-by-step explanation:

x²+y²-6x+4y-3=0
x²-6x+y²+4y=3

(x²-6x+9)+(y²+4y+4)=3+9+4

(x-3)²+(y+2)²=16
(x-3)²+(y+2)²=4

Answer:

60$

Step-by-step explanation: 10/5=2

2*30= 60

*rounded*

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer: 6 batches

Step-by-step explanation:

From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.

Therefore, the number of batches that can be made with 4 cups of flour will be:

= 4 / 2/3

= 4 × 3/2

= 12/2

= 6 batches

Answer:

General: 100.

Punto rojo: 75.

Alcance 2X: 69.

Alcance 4X: 62.

Alcance AWM: 34.

El arma M14 es ideal para enfrentamientos de largo alcance en Garena Free Fire.

El arma Groza es una buena arma para usar en situaciones de combate de mediano a largo alcance en Garena Free Fire.

El AWM es posiblemente el rifle de francotirador más fuerte de Garena Free Fire.

Step-by-step explanation:

depende del alcance que haya equipado

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:  \(t = \frac{2-3q}{q+4}\)

This is the same as writing  t = (2-3q)/(q+4)

The parenthesis are needed so we know to divide all of "2-3q" all over top "q+4".

==================================================

Work Shown:

\(q = \frac{2-4t}{t+3}\\\\\\q(t+3) = 2-4t\\\\\\tq+3q = 2-4t\\\\\\tq+4t = 2-3q\\\\\\t(q+4) = 2-3q\\\\\\t = \frac{2-3q}{q+4}\\\\\\\)

To avoid a division by zero error, we need to have \(q \ne -4\)

Also notice how \(t = -3\) isn't possible for similar reasoning (refer to the first equation at the top).

The statements that are true regarding the angles in the diagram are: B, C, and E.

Therefore, the statements that are true regarding the angles in the diagram are: B, C, and E.

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Answer:

B, C, and E

Step-by-step explanation:

did it on edge

The only automorphism of a well-ordered set is the identity.

To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.

Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.

Let f: W → W be an automorphism of the set.

We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.

Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.

Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.

Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.

Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.

Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.

Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.

By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.

However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.

Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.

Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.

Hence, the only automorphism of a well-ordered set is the identity function.

Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

6 batches

Step-by-step explanation:

1/3*6=2 cups of paint.

so they can make 6 batches and have 1 cup of yellow paint left

The correct answer is option C: \(\(k + 4 = 16\).\) This linear equation represents the relationship between Tina and Kai's volunteer times.

To represent the given situation, the equation that correctly represents the relationship between Tina's volunteer times (Tina = 16) and Kai's volunteer times (Kai = k) is:

\(\[Tina = Kai + 4\]\)

In this equation, Tina's volunteer times are represented by "Tina," and Kai's volunteer times are represented by "Kai." Since Tina has volunteered 4 more times than Kai, we add 4 to Kai's volunteer times to get the total number of times Tina has volunteered.

Substituting the given values, we have:

\(\[16 = k + 4\]\)

This equation represents the fact that Tina has volunteered \(16\) times, which is equal to Kai's volunteer times (k) plus the additional 4 times that Tina volunteered.

Simplifying the equation:

\(\[k + 4 = 16\]\)

This equation is equivalent to the original equation and represents the relationship between Tina and Kai's volunteer times. Hence, the correct answer is option C: \(\(k + 4 = 16\).\)

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Answer:

My first fav is circus baby next is mangle/lolbit and then foxy. But if I had to choose one it would be circus baby

Answer:    Ennard, Funtime Freddy, and Nightmare. I would choose Ennard out of any of them-

The y-intercept of the line y = 14 / 17 x + 14 is 14.

The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.

Therefore, let's represent it in slope intercept form.

y = mx + b

where

Therefore, using the equation of a line in slope intercept form, the y-intercept of the equation y = 14 / 17 x + 14 is 14.

The y-intercept of a line is the value of y when x = 0.

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Answer:

  $2418.07

Step-by-step explanation:

Problems involving the time-value of money are conveniently solved using a TVM app on a suitable calculator or spreadsheet. The result of doing that is shown in the attachment.

__

If you would like to compute the value of Emily's account by hand, the annuity formula is the one you want.

  A = Pn((1 +r/n)^(nt) -1)/r . . . . where r is the annual interest rate, n is the number of times per year it is compounded (12), t is the number of years (1/2), and P is the periodic payment into the acccount (400).

Using the given values in the formula, we have ...

  A = 400(12)((1 +0.036/12)^(12/2) -1)/0.036 = 4800×(1.003^6 -1)/0.036

  A ≈ 2418.07

At the end of 6 months, Emily will have saved $2418.07.

Answer:

16

Step-by-step explanation:

8 × 4 = 32

32 × 1/2 = 16

Hope this helps <3

Answer:

y = -1/2x + 1/2

Step-by-step explanation:

Step 1: Write in known variables

y = -1/2x + b

Step 2: Find b

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

2 = 3/2 + b

b = 1/2

Step 3: Rewrite equation

y = -1/2x + 1/2

Answer:

It will take ≈5 hours (5.278)

Step-by-step explanation:

First we need to find how many number she counts in one hour. We know she counts 60 every one minute and there are 60 minutes in an hour. 60x60=3600

Now we divide 19,000 by 3600 to find how many hours it will take

19000/3600=5.278

It will take ≈5 hours (5.278)

Answer:

True

Step-by-step explanation:

Being organized, having a study schedule and reviewing your work are all great habits to becoming a well-rounded student and generally succeeding in a course.

Please rate 5 stars and/or say thanks if I was able to help!

Have a good day!

~Roi

Answer:

A. x = 25

Step-by-step explanation:

To solve the equation X-16=9, we need to isolate the variable X on one side of the equation. We can do this by adding 16 to both sides of the equation:

X - 16 + 16 = 9 + 16

Simplifying the left side of the equation, we get:

X = 25

Therefore, the solution to the equation is X = 25. The correct answer is A.

Answer:

A) x = 25

Step-by-step explanation:

Given: x - 16 = 9

First collect like terms:

x - 16 = 9   (here, 9 and 16 are together)

-16 will become +16 when it comes to the other side.

x = 9 + 16

x = 25

Therefore, the answer will be A, x = 25

The pattern is 25, 5, 1, 1/5, 1/25

25 divided by 5 equals 5

5 divided by 5 equals 1

Looks like to construct this pattern each value is divided by 5 to obtain the next number of the sequence:

Following this logic, the next three values of the pattern are:

the amount of the gas bill for the month is $5,472

To calculate the gas bill for the month, we want to locate the whole amount of gas utilized by the four taxi cars, after which multiply it through the value according to gallon.
First, let's discover how a lot gas each automobile utilized in a month. the two vehicles that get 25 miles per gallon will use:
8000 miles / 25 miles in line with gallon = 320 gallons consistent with automobile according to month
the two cars that get 20 miles in line with gallon will use:
8000 miles / 20 miles in keeping with gallon = 400 gallons per automobile in line with month
Now we will find the whole quantity of gas utilized by all four vehicles:
2 cars * 320 gallons per car in line with month = 640 gallons for the 25 mpg cars
2 cars * four hundred gallons per vehicle per month = 800 gallons for the 20 mpg automobiles
general = 640 + 800 = 1440 gallons
sooner or later, we will calculate the gas bill for the month by multiplying the overall quantity of fuel by the fee consistent with gallon:
1440 gallons * $3.eighty consistent with gallon = $5,472
therefore, the gasoline invoice for the month turned into $5,472.

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Answer:

Ratio of present ages of Sonal and Manoj = 7:5

Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.

After 10 years, ratio of their ages = 9:7

A/q,  7x+10/5x+10 = 9/7

or     9 (5x+10) = 7 (7x+10)

or     45x + 90 = 49x + 70

or      49x - 45x = 90 - 70

or      4x = 20

or       x  =  20/4  =  5 .

Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.

                    present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.              

Step-by-step explanation:

You helped me before so thank you

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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