write a recurrence relation and initial conditions for , the subsets of a set with elements.

Answer:

Step-by-step explanation:

y>x+1

There are 800 different three-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with the restriction that the first digit cannot be 0 or 1.

If the first digit cannot be 0 or 1, we have 8 options for the first digit (2, 3, 4, 5, 6, 7, 8, 9). For the second and third digits, we have all 10 digits available (0-9) since there are no restrictions on them.

Therefore, the total number of different three-digit numbers that can be formed is:

= 8 options for the first digit × 10 options for the second digit ×10 options for the third digit

= 8 × 10 × 10

= 800

So, there are 800 different three-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with the restriction that the first digit cannot be 0 or 1.

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Answer:

wow asphalt theme I have that too in my quizziz

Answer:

$252

Step-by-step explanation:

If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks

Answer:

A: Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3}

Step-by-step explanation:

C = {(9, 1) (8, -3) (7, 5) (-5, 3)}

The domain is the inputs

Domain: { -5,7,8,9}

The range is the output

Range{ -3,1,3,5}

This is a functions since there is no input that goes to multiple outputs

The equation 2C is a simple algebraic expression that represents the relationship between the cost of one gallon and the cost of two gallons of milk.

Let's assume the unknown cost of a gallon of milk is represented by the variable "C" (for cost).

To write an equation representing the cost of purchasing two gallons of milk, we can multiply the cost of one gallon (C) by the quantity of gallons, which is 2:

2C

This equation states that the cost of purchasing two gallons of milk (2C) is equal to twice the cost of one gallon (C).

For example, if the cost of one gallon of milk is $3, the equation would be:

2 * $3 = $6

So, purchasing two gallons of milk would cost $6.

It is important to note that the equation assumes a linear relationship between the quantity of milk and its cost. In reality, the cost of two gallons of milk may not be exactly twice the cost of one gallon due to factors such as bulk discounts, promotions, or varying prices.

The equation provides a simplified representation and is based on the assumption that the cost per gallon remains constant.

By using this equation, Jason can determine the total cost of purchasing two gallons of milk based on the actual cost per gallon.

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Complete question :

The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable.

Answer:

Dependent variable = Total cost

Independent variable = number of students

Step-by-step explanation:

The total cost equation is :

Total cost, c = cost per ticket * number of tickets

c = 7 * s

c = 7s

The Independent variable also called the predictor variable is the number of students in the scenario described above as it is the variable upon which the total cost relies. It dictates the value of the output or dependent variable. As we vary the value of the Independent variable, number of students, the total cost which is the dependent variable also varies. The dependent variable on the other hand is the predicted value or variable which is controlled by the independent variable. The dependent variable in this case is the total cost, c

Answer:

The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-

image and image will be “parallel”

The vertex used as the center of dilation will be in “the same location in both triangles”

First you will get 4dz

the two points are

A(4,56) and B(5,70)

so, the linear equation is

thus, the equation is

y = 14x + 0

so we can put 14 in first place and 0 in second

Answer:

2 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 2/3x+4

2/3 is your slope, if you do y2-y1/x2-x1. 6-4/3-0. 2/3

your y intercept is what y is when x is 0. so 4

Answer:

The quotient decreases

Step-by-step explanation:

Give the expression :

10 / d

What happens to the expression as d increases. from small positive to large positive ;

d in the expression is the denominator ;the value obtained by dividing the numerator by the denominator is the quotient.

Since the value of the numerator is constant ;

As the value of d increases, the quotient obtained becomes smaller `

For instance,

Let

d = 2;

10 /2 = 5

d = 3

10 / 3 = 3.333

d = 4

10 / 4 = 2.5

And the trend continues

Answer:

2.5 on khan

Step-by-step explanation:

The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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Answer:

A. ∠ACB ≅ ∠ACD.

Explanation:

To prove that ∆ABC is congruent to ∆ADC by the SAS postulate:

Side: AC is congruent to AC

Angle: Angle ACB is congruent to angle ACD

Side: BC is congruent to DC

That is, the angle between the two congruent sides must be the same.

Thus, the additional information needed is that ∠ACB ≅ ∠ACD.

A is the correct choice.

Step-by-step explanation:

make eqn for both

4x-3y=22 epuation first

x-5y=15

use elimating method

4x-3y=22

4x-20y=56

from here the value of y will come -1.39

put the value of y in epn 2

the ans if x is -7.04

Since the 1st brand is 70% pure antifreeze

Since the 2nd brand is 95% pure antifreeze

Since we need to obtain 110 g of a mixture that contains 85% pure antifreeze

Let the quantity of the first is x and the second is y

Then

Now let us solve the two equations to find x and y

Multiply equation (2) by -0.7

Add equations (1) and (3)

Divide both sides by 0.25

Substitute the value of y in equation (2) to find x

Subtract 66 from both sides

First brand: 44 gallons

Second brand: 66 gallons

Answer:

Yes, it is linear.

Step-by-step explanation:

There is a constant change in the slope. Basically, if it is in y=mx+b form then it is linear. But if the slope is squared then it is not linear.

(I'll take that brainliest now)

Answer:

3.02

x 10

-------

000

+302x

______

30.20

Answer:

3x-y=9

(3,-9)

Step-by-step explanation:

To put fractions in order from least to greatest, you need to compare their values by finding the common denominator.

Step 1: Find a common denominator for all the fractions.

Step 2: Convert each fraction to an equivalent fraction with the common denominator.

Step 3: Compare the numerators of the equivalent fractions. The fraction with the smallest numerator is the smallest fraction, and the fraction with the largest numerator is the largest fraction.

Step 4: If two or more fractions have the same numerator, compare their denominators. The fraction with the smallest denominator is the smallest fraction, and the fraction with the largest denominator is the largest fraction.

Step 5: Write the fractions in order from least to greatest.

For example, let's say you need to put the fractions 1/3, 2/5, and 3/8 in order from least to greatest.

Step 1: The common denominator for 3, 5, and 8 is 120.

Step 2: Convert each fraction to an equivalent fraction with a denominator of 120.

1/3 = 40/120

2/5 = 48/120

3/8 = 45/120

Step 3: Compare the numerators of the equivalent fractions: 40 < 45 < 48

Step 4: Since 40 is not equal to 45 or 48, we don't need to compare the denominators.

Step 5: Write the fractions in order from least to greatest: 1/3 < 3/8 < 2/5.

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Two cheeseburgers contain a total of 1120 calories (2 x 560) and one small order of fries contains 230 calories. And three cheeseburgers contain a total of 1680 calories (3 x 560) and two small orders of fries contain a total of 460 calories (2 x 230).

Let's use a system of equations to solve for the caloric content of each item.

Let x be the number of calories in one cheeseburger and y be the number of calories in one small order of fries.

From the first statement, we know that:

2x + y = 1350

From the second statement, we know that:

3x + 2y = 2140

We can use these two equations to solve for x and y. First, we'll solve for y in terms of x by rearranging the first equation:

y = 1350 - 2x

Now we can substitute thisn expression for y into the second equation:

3x + 2(1350 - 2x) = 2140

Simplifying this equation, we get:

3x + 2700 - 4x = 2140

-x = -560

x = 560

So one cheeseburger contains 560 calories. We can plug this value back into either of the original equations to solve for y:

2(560) + y = 1350

y = 230

So one small order of fries contains 230 calories.

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Answer:

i think it would be B because if AC= 80 and thats like the distane between then abc would be 80 if im thinking right

Step-by-step explanation:

but  hey if im wrong ill have my friend punch me in the arm to make it even

\( \\ \\ \)

\( \\ \\ \)

Let AC = x.

\( \\ \)

As given figureis square, therefore all sides are equal :-

\( \\ \)

So now instead of square focus on triangle ABC.

where :-

\( \small \rm \angle B = 90 \degree\)

\( \\ \)

Equation formed:-

\( \\ \\ \)

\( \rm \dashrightarrow AC {}^{2} = AB {}^{2} + BC {}^{2} \)

\( \\ \)

\( \rm \dashrightarrow 26 {}^{2} = x{}^{2} + x {}^{2} \)

\( \\ \)

\( \rm \dashrightarrow 26 {}^{2} =2x {}^{2} \)

\( \\ \)

\( \rm \dashrightarrow 26 \times 26 =2x {}^{2} \)

\( \\ \)

\( \rm \dashrightarrow2x {}^{2} = 26 \times 26 \)

\( \\ \\ \)

\( \rm \dashrightarrow x {}^{2}=\dfrac{ 26 \times 26 }{2}\)

\( \\ \\ \)

\( \rm \dashrightarrow x {}^{2}=\dfrac{ 26 \times \cancel{26 }}{\cancel{2}}\)

\( \\ \\ \)

\( \rm \dashrightarrow x {}^{2}=\dfrac{ 26 \times 13}{1}\)

\( \\ \\ \)

\( \rm \dashrightarrow x {}^{2}=26 \times 13\)

\( \\ \)

\( \rm \dashrightarrow x = \sqrt{26 \times 13} \)

\( \\ \)

\( \rm \dashrightarrow x = \sqrt{338} \)

\( \\ \)

\( \bf \dashrightarrow x = 18.38\)

\(\\ \\ \)

Formula used:-

\( \bigstar \boxed{\tt Hypotenuse^2 = Base^2+Perpendicular^2}\)

\(\\ \\ \)

Therefore BC is equal to 18.38 cm.

⭑Related Concept⭑

Property of square:-

(a)  The last day for taking the cash discount is October 15.

(b) The amount due if the invoice is paid on the last day for taking the discount is $3440.64.

(a) To determine the last day for taking the cash discount, we need to consider the terms mentioned: 4/10, n/30.

The first number, 4, represents the discount percentage, and the second number, 10, represents the number of days within which the discount can be taken. The "n" represents the net amount due, and the third number, 30, represents the total credit period available.

To calculate the last day for taking the cash discount, we need to add the discount period (10 days) to the invoice date (October 5).

Invoice date: October 5

Discount period: 10 days

Adding 10 days to October 5, we get:

October 5 + 10 days = October 15

Therefore, the last day for taking the cash discount is October 15.

(b) To calculate the amount due if the invoice is paid on the last day for taking the discount, we subtract the discount from the total amount stated on the invoice.

Invoice amount: $3584.00

Discount percentage: 4%

To calculate the discount amount, we multiply the invoice amount by the discount percentage:

Discount amount = $3584.00 × 0.04 = $143.36

Subtracting the discount amount from the invoice amount gives us the amount due:

Amount due = $3584.00 - $143.36 = $3440.64

Therefore, the amount due if the invoice is paid on the last day for taking the discount is $3440.64.

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Answer:

true, i feel ya.

Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

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

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

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

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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Answer:

-7

Step-by-step explanation:

\(4x-12 \leq 16+8x \\ \\ -12 \leq 16+4x \\ \\ -28 \leq 4x \\ \\ 4x \geq -28 \\ \\ x \geq -7\)

Answer: 0.6 espero haberte ayuado

Step-by-step explanation: