For each of the following statements, construct an open sentence P (x), P (x, y), or P (x, y, z), where x, y, z are variables, such that for some choice of values of the variables we obtain the original statement and for a different choice of values of the variables, it is possible to obtain a statement whose truth value is different than the original statement.

a. The square of 3 is larger than the cube of 2.
b. 4.3 + 8 = 30.
c. The population of Manitoba is larger than the population of Winnipeg.

Answers

Answer 1

Answer:

a.)

Open statement : P(X,Y) = The square of X is larger than the cube of Y.

b.)

Open Statement : P(X,Y,Z) = X.Y + 8 = Z.

c.)

Open Statement : P(X,Y) = The population of X is larger than the population of Y.


Related Questions

Select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold.
64(1.15)
64(1.015)
64(1.5)+64
64-64(1.5)
64(0.015)-64
64+64(0.015)


Pleaseee help due in five minutes

Answers

Answer:

Step-by-step explanation:

the expression is 64+64*(0.015)

64 is the container and 64*0.015 is the margin of error

3. A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5
gallons every 3 days,
At this rate, how many days did it take for all 60 gallons of water to leak out of the
barrel?

Answers

Answer:

J. 36 Days

Step-by-step explanation:

60÷5 = 12

3×12 = 36

Your electrical bill states that you used 870 kilowatt-hours of energy in January determine your total electrical energy use in joules?

Answers

Answer:

3,132,000,000

Step-by-step explanation:

Answer:

3132000000 joules

Step-by-step explanation:

Please help ASAP I need to solve AD

Answers

Answer:

6

Step-by-step explanation:

I would say 6 because that is a square and all sides on a square are equal.

Answer:

6

Step-by-step explanation:

All the sides of a rhombus are the same. Therefore, if you want to find AD its the same as AB which is 6

Which of the following is NOT a reason that Americans are moving to the South and West. A.to find jobs in factories. B.to find jobs in office. C.to find farming jobs. D.to find milder weather

Answers

Answer:

B

Step-by-step explanation:

Hope this helped! Please let me know if I'm wrong!

B

Explanation: people were not looking for office jobs, because factory and mills were the jobs available that were easy to acquire and did not to be skilled at it.

Wilma has 28 coins, all nickels, and dimes worth $2.05. How many nickels does she have?

Answers

Answer:

15 nickels and 13 dimes

Step-by-step explanation:

5n + 10d = 205 cents

n + d = 28

n = 28-d

5(28-d) +10d = 205

140 -5d + 10d = 205

5d = 65

d = 13

n = 28-d = 28-13 = 15

5n = 5(15) = 75

10d = 10(13) = 130

75+130=205

15 nickels and 13 dimes

Solve x−1=8 Math Problem

Answers

Answer:

x = 9

Step-by-step explanation:

9 - 1 = 8

Answer:

x = 9

Step-by-step explanation:

Add 1 to each side:

x - 1 = 8

x = 9


A company has recently been hiring new employees. Today the company has 34% more employees than it did a year ago. If there are currently
33,500 employees, how many employees did the company have a year ago?


Answers

Answer:

22110 employees.

Step-by-step explanation:

33500 decrease 34% =

33500 × (1 - 34%) = 33500 × (1 - 0.34) = 22110

Answer:

The company had 22,110 employees a year ago.

Step-by-step explanation:

34% of 33,500 is 11,390

33,500 - 11,390 = 22,110

I need to replace the carpet for my bedroom floor and the supplier wants to
know the size of the room. I measured it and it was 10 feet wide by 12 feet long.
What do I tell the man at the carpet company?

A) 100 square feet or close to it.
B) 10 yards
C) 120 yards
D) 120 square feet

Answers

Answer:

D. 120 square feet

Step-by-step explanation:

12×10=120

120 square feet

Answer:

D) 120 square ft

Step-by-step explanation:

If he wants to know the area you just multiply 10 by 12 which is 120

use the distributive property to rewrite each expression (2+g)8​

Answers

Answer:

16+8g

Step-by-step explanation:

Just multiple everything by 8

Hope this helps (:

Answer:

8g+16

Step-by-step explanation:

I guess it can be kind of confusing when the number outside of the parentheses is on the right side of the equation? I don't know lol, but the same rules apply.

If it helps, rewrite it as: (2+g)8 --> 8(2+g)

Now multiply: (8*2)+(8*g)

Simplify: 16+8g or 8g+16 (however you want to write it)

Find the LCM Of 12x^5 y^4z,15x^7z^3 and,21yz^9

Answers

Answer:

420x^7 y^4  z^9

Step-by-step explanation:

I put spaces between some so that you know that no exponent has a variable as its power and it is 1 whole polynomial.

Please Mark Me Brainliest

Will give brainlest...............

Answers

Answer:

i 5 x 45

Step-by-step explanation:

Craig has 6 bags of candy that weigh pound each. Wendy has 5 bags of candy that weigh pound each.
How does Craig's amount of candy compare to Wendy's amount of candy?
yes

Answers

Craig has 1 pound of more candy than Wendy does because if each bag is one pound, and if Craig has 6 bags, and Wendy has 5, then it’ll be 6-5=1.

On the board, your teacher shows an example of finding the range.
One of the numbers is erased, leaving what is shown.

Which of the following could NOT be true?
A: The missing number is 11
B: The missing number is 20
C: The missing number is 25
D: The missing number is 30

Answers

The answer is C: the missing number is 25

Answer:

A: The missing number is 11

Step-by-step explanation:

What are all the factors of 76

Answers

Answer:

1, 2, 4, 19, 38, 76

Four friends shared
1
2
of one carton of orange juice and
1
4
of another carton of apple juice.
What fraction of each carton of juice did each friend get?

Answers

Answer:

1/16

Step-by-step explanation:

For 1/4 you multiply the four with the four friends. And you'll get 4x4. You multiply it and get 16. Same as you for it with 1/2. 4x1/2=? Try it out! Hope this helps!

What is the side of the square garden that has an area of 100
square feet?

Answers

I think it’s 10 I don’t know for sure

Simplify the expression:
8 ( 5w + 7) + 9 (4w - 7)

Answers

Answer:

40

Step-by-step explanation:

Answer: 1.Remove any grouping symbol such as brackets and parentheses by multiplying factors.

2.Use the exponent rule to remove grouping if the terms are containing exponents.

3.Combine the like terms by addition or subtraction.

4. Combine the constants

Step-by-step explanation:

[tex]8(5w+7) + 9 ( 4w- 7)[/tex]

The first thing we do is distribute

[tex]8(5w+7)& 9(4w-7)[/tex]

We distribute what is outside the parenthesis to everything that is inside the parenthesis

so for 8(5w+7) we do [tex]8x5w = 40w[/tex] and [tex]8x7 = 56[/tex]

so for 9  So  9(4w−7) turns into 36w+63

so now we have 40w+56+36w+−63

now combine like terms

(40w+36w)+(56+−63)=?

1 point
7. The square below represents one whole. Express the shaded area as a
percent. (PLEASE WRITE THE PERCENT SYMBOL IN YOUR ANSWER). *

Answers

I would say 50%.

Hope I helped you!Success!

Which of the binomials below is a factor of this trinomial?
3x2 + 19x+6
O A. 3x + 1
O B. 3x - 1
O C. 3x+6
O D. 3x-6

Answers

Answer:

ccccccc.

Step-by-step explanation:

c.cccccccc.ccccccccccccccccccccc

HELP ME WITH THSI PROVLEM PLEASE MATH PROBLME

Answers

Answer:

4W=25

providing the distances from the hanger wire to the weights are equal.

Step-by-step explanation:

Michelle wants to save $150 for a trip to Six Flags. If she saves $12 each week, how many weeks will it take her to save enough money for the trip?


can someone help me also show my work 35 points!

Answers

12.5 weeks. You take the do 150 divided by 12 to get 12 in a half

Answer;

13 weeks

Step-by-step explanation:

If she gets 12$ everyday you need to divide 150 by 12 which makes 12.5 if you say 12 weeks it makes below 150 and 12.5 is not a week so 13 weeks

Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 16 feet, and the ball 2 is dropped from a height of 144 feet. Write and graph a function for the height of each ball. Then use the graphs to tell when each ball will reach the ground.

Answers

Answer:

Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 181 feet, and ball 2 is dropped from a height of 238 feet. Write a function for the height of each ball.

h1(t) = -16t^2 + 181

h2(t) = -16t^2 + 238

When does ball 1 reach the ground? Round to the nearest hundredth. seconds

Solve: -16t^2+181 = 0

-16t^2 = -181

 

t^2 = 11.3125

t = 3.3634 seconds

-----------------

When does ball 2 reach the ground? Round to the nearest hundredth. seconds

A fair coin is tossed three times and the events AA, BB, and CC are defined as follows: A:{A:{ At least one head is observed }} B:{B:{ At least two heads are observed }} C:{C:{ The number of heads observed is odd }} Find the following probabilities by summing the probabilities of the appropriate sample points (note that 0 is an even number):

Answers

This question is incomplete, the complete question is;

A fair coin is tossed three times and the events AA, BB, and CC are defined as follows: A:{A:{ At least one head is observed }} B:{B:{ At least two heads are observed }} C:{C:{ The number of heads observed is odd }} Find the following probabilities by summing the probabilities of the appropriate sample points (note that 0 is an even number): a) P(B) =, b) P(A or B) =

Answer:

a) probability of B is 0.5

b) probability of (A or B)  is 0.875

Step-by-step explanation:

Given the data in the question;

The coin is tossed 3 times.

so let S represent the sample space with the probabilities;

S = [ HHH, HHT, HTH, THH, HTT, THT, TTH, TTT ]

so n(S) = 8

now let A be the set where at least one head is observed;

A = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]

n( A) = 7

let B be the set where at least two head is observed;

B = [ HHH, HHT, HTH, THH, ]

n(B) = 4

let C be the set where number of heads are odd;

C = [ HHH, HTT, THT, TTH ]

n(C) = 4

so

a) P(B) = ?

probability of B will be;

P(B) = n(B) / n(S)

we substitute

P(B) = 4 / 8 = 0.5

Therefore, probability of B is 0.5

b) P(A or B) = ?

the favorable number of cases to event A∪B is

A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]∪[ HHH, HHT, HTH, THH, ]  

A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]

n(A∪B) = 7

Now the probability of A or B will be

P( A∪B ) = n(A∪B) / n(S) = 7/8 = 0.875

Therefore, probability of (A or B)  is 0.875

8. Chelsea ate 0.2 of a pound of
chocolate cake at her birthday
party. Her friend Emily ate more
than her. Which decimal is more
than 0.2?
A.0.3
B. 0.19
C.0.11

Answers

a. vhysyfjgjjchddyyf if if hjd

a I believe? If I get it wrong I’m so sorry!

Shoes cost $20 a pair and boots cost $60 a pair. Arlene and Jerry spent $8000 and bought 3 times as many boots as shoes. How many pairs of each did they buy?​

Answers

Answer:

They bought 40 shoes and 120 boots.

Step-by-step explanation:

So from the question itself we can make the following equation.

Let "x" be the number of shoes they bought, then...

20(x) + 60(3x) = 8000

20x + 180x = 8000

200x = 8000

x = 8000 / 200

x = 40

From here we know that..

# of shoes they bought = x = 40

# of boots they bough = 3x = (3)(40) = 120

To test the effectiveness of a new, cholesterol-lowering drug, a group of researchers recruits 200 volunteers with high cholesterol to take part in a study. The researchers place the numbers 1 through 200 in a hat and have each participant select a number. Those who picked an odd number receive the new drug, while those who picked an even number receive a placebo. Which experimental design are the researchers using?
a. Representative Sample Design
b. Completely Randomized Design
c. Matched-Pair Design
d. Randomized Block Design

Answers

Answer:

c. Matched-Pair Design

Step-by-step explanation:

The experimental research study showcased above exhibits two different treatments groups ; the new cholesterol lowering drug and the placebo. The allocation of observations or subjects into groups was based on pair selection which is based on whether subjects picked an even or odd number. Subjects who picked the odd are moved to the treatment group of the new drug while those who picked an even number are referred to the placebo treatment group. This type of research design which involves two pairs of treatment and allotment pattern is called a matched pair research design

Answer:

Completely Randomized Design

Step-by-step explanation:

Rationale: When all patients aer assigned treatment or control randomly without considering other factors, this is called a cmpletely randomized design.

What is the answer to 1014.16667 rounded to the nearest tenths

Answers

Answer: 1014.2

Step-by-step explanation: you look to the right of 1 and if it is 5 or greater you round up. If it is 4 or less you keep it the same number as it is.

Find the measures of the interior angles x

Answers

( sorry for commenting, I need points to ask questions I dearly apologize!)

F. If ABCD is a parallelogram, what is the length of BD?
В.
с
5
7.
E
А
D

Answers

The length of diagonal BD from the parallelogram ABCD is 10.

The midpoint of diagonals BD and AC is E. Hence, the point of bisection is marked E.

BE = DE (The diagonals of a parallelogram bisect each other)

From the diagram given :

BE = 5

DE = BE = 5

Length of BD = BE + DE

Length of BD = (5 + 5) = 10

Therefore, the length of Diagonal BD is 10.

Learn more : https://brainly.com/question/11220936

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