Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q

Final answer:

To find the slope between two points, use the formula m = (Y2 - Y1) / (X2 - X1) where (X1, Y1) and (X2, Y2) are the coordinates of the two points. The slopes for the given point sets are: 0, 1, -5/4, and 2.

Explanation:

To find the slope between two points, we can use the formula:
m = (Y2 - Y1) / (X2 - X1)
where (X1, Y1) and (X2, Y2) are the coordinates of the two points.

For the first set of points (5, -5) and (3, -5), the slope is:
m = (-5 - (-5)) / (3 - 5) = 0 / -2 = 0

For the second set of points (2, 3) and (4, 5), the slope is:
m = (5 - 3) / (4 - 2) = 2 / 2 = 1

For the third set of points (-5, 5) and (3, -5), the slope is:
m = (-5 - 5) / (3 - (-5)) = -10 / 8 = -5/4

For the fourth set of points (9, 9) and (12, 15), the slope is:
m = (15 - 9) / (12 - 9) = 6 / 3 = 2

Each cat would get approximately 6.67 ounces of cat food, which falls between 6 and 7 ounces. The calculation is done by dividing the total amount of food (20 ounces) by the number of cats (3).

The Philips family had to split 20 ounces of cat food among their 3 cats. To find out how much food each cat gets, we need to divide the total amount of food by the number of cats. Calculating this, 20 ounces ÷ 3 cats equals approximately 6.67 ounces per cat. Even though this is a decimal, if we consider whole numbers, the amount each cat gets falls between 6 and 7 ounces, since 6.67 is more than 6 and less than 7.

When dealing with fractions and division, it's essential to understand the concept of division and be able to find averages. The task at hand may often find itself related to dividing a quantity evenly among a number of recipients, much like in scenarios where we have to split a pie or determine individual portions.

To divide 20 ounces of cat food equally among three cats, each cat gets approximately 6.67 ounces. The amount of food per cat lies between the whole numbers 6 and 7.

The question is asking how to divide 20 ounces of cat food equally among three cats. To find out how much each cat would get, you divide the total amount of cat food by the number of cats:

This calculation shows that each cat would get approximately 6.67 ounces of food. This value lies between the whole numbers 6 and 7. Therefore, when the Philips family divides the cat food, each cat gets a little more than 6 ounces but less than 7 ounces of food.

To find out the face value of a simple discount note that will provide a proceed of $24,700 with an 8% discount rate for 180 days, use the formula FV = P / (1 - (r * t)). Plug in the given values and compute the answer. The result is the required face value and should be rounded to the nearest cent.

To find out the face value of a simple discount note, we can use the formula FV = P / (1 - (r * t)) where FV represents the face value, P is the proceeds, r is the discount rate, and t is the time in years.

In the problem, P = $24,700, r = 8% or 0.08 (expressed as a decimal), and t = 180/365 because there are 365 days in a year and the note is for 180 days. Let's substitute these values into the formula:

FV = 24700 / (1 - (0.08 * (180/365))

When you calculate the expression on the right, the answer will be the face value required to get a proceed of $24,700 with an 8% discount rate for 180 days. Round to the nearest cent for your final answer.

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The volume of a rectangle is the product of it length, width and height, the volume of the rectangle in this example is 19 1/2 cubic inched

Given Data

Length of block = 9 inches

Width of block  = 3 1/4 inches = 13/4 inches

Height of block = 2/3 of an inches

We know that the expression for volume of rectangle is given as

Volume = Length * With * Height

Substituting our given data we have

Volume = 9* 13/4 * 2/3

Volume = 9*13*2/1*4*3

Volume = 234/12

Volume = 19 1/2 cubic inches

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the value of k is 40.

to solve for k when 28 is 12 less than k, we set up an equation and then solve it.

Let's denote k as the unknown number. According to the problem, 28 is 12 less than k, which can be written as:

28 = k - 12

To solve for k, we need to isolate k on one side of the equation.

28 = k -12

28 + 12 = k

40 = k

k = 40

So, the value of k is 40.

The complete question is:

28 is 12 less than k. 28=12-k Solve for k.

25 less than 6 times a number is 107 then that number will be 22 it can be determined by the formation of the equation.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x

6 times x number

⇒ 6x

25 less than 6x

⇒ 6x - 25

It is equal to 107

So,

6x - 25 = 107

6x = 132

x = 132/6

x = 22

Hence "25 less than 6 times a number is 107 then that number will be 22".

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probability  = number of favourable outcomes / total number of outcomes

probability of spinning any number = 1/3

probability of tossing a coin = 1/2

probability of compound event = 1/3 * 1/2 * 1/3 = 1/18

probability of spinning an odd number, flipping heads, then spinning a yellow is  = 2/3*1/2*1/3 = 1/9

On the attached diagram red curve is the graph of the quadratic function [tex]y = 2(x - 2)^2 + 2.[/tex] As you can see this graph has no intersections with x-axis, this means that there are no solutions.

If you translate red curve 2 units down, you obtaine the graph (blue curve) of the function [tex]y = 2(x - 2)^2[/tex] and this graph has one common point with x-axis. This means that there will be exactly one solution.

Answer: k=-2 (you add -2 to the function [tex]y = 2(x - 2)^2 + 2[/tex] to obtain the function [tex]y = 2(x - 2)^2[/tex]).

Answer: 0 ZERO

Step-by-step explanation:

To find a recurrence relation for the number of n-digit ternary sequences in which no 1 appears anywhere to the right of a 2, we can consider two cases depending on the last digit being 0 or 2.

To find a recurrence relation for the number of n-digit ternary sequences in which no 1 appears anywhere to the right of a 2, we can break the problem down into two cases: when the last digit is 0 or when the last digit is 2. If the last digit is 0, then the number of n-digit ternary sequences is equal to the number of (n-1)-digit ternary sequences in which no 1 appears anywhere to the right of a 2. If the last digit is 2, then the number of n-digit ternary sequences is equal to the number of (n-1)-digit ternary sequences in which no 1 appears anywhere to the right of a 2, plus the number of (n-1)-digit ternary sequences in which no 1 appears anywhere to the right of a 2.

Solution: We are given below data:

[tex] 2, 8, 10, 16 [/tex]

Now to find the mean deviation, we use the below formula:

[tex] MD= \frac{\sum|X-\bar{X}|}{N} [/tex]

Where:

[tex] \sum, [/tex]  represents the summation

X, represents the observation.

[tex] \bar{X}, [/tex] represents the mean

N represents the number of observation.

[tex] \bar{X}= \frac{\sum{X}}{N}= \frac{2+8+10+16}{4}=9 [/tex]

[tex] \sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16 [/tex]

Therefore, the mean deviation is:

[tex] MD= \frac{16}{4} [/tex]

        = 4

Answer:

4 \

Step-by-step explanation:

Answer:

3.9 and -3.3

Step-by-step explanation:

Answer:

  58

Step-by-step explanation:

Put 30 where x is in the expression and do the arithmetic.

  55 + 30 - 27 = 85 - 27 = 58

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It can be advantageous to use the associative property of addition to evaluate the expression as ...

  55 + (30 -27) = 55 +3 = 58