Express the proposition, the converse of p—q, in an English sentence, and determine whether it is true or false, where p and q are the following propositions. p p: "57 is prime" q: "57 is odd"

Answers

Answer 1

The proposition "57 is odd implies 57 is prime" is false.

Is the statement "If 57 is odd, then 57 is prime" true or false?

The given proposition, "57 is odd implies 57 is prime," asserts that if 57 is odd, then it must also be prime.

However, this statement is false. While it is true that all prime numbers are odd, the converse does not hold. In the case of 57, it is indeed odd, but it is not a prime number. 57 can be divided evenly by 3, yielding a remainder of 0, which means it is not a prime number.

Learn more about logical propositions

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Related Questions

An observer in a hot air balloon spots an object on the ground. He knows that he is 150 m high and 285 m horizontally from the object. What is the angle of depression at which the observer spotted the object?
Round to the nearest tenth.

Answers

Answer:

27.8 degrees

Step-by-step explanation:

Please help me with my homework problem

Answers

Answer:

y-axis

Step-by-step explanation:

points are (x,y)

since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.

reflection just means it rotates 180 degrees (out of the paper, not around)

Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?

Answers

I think the answer is 40
i think its 20 i might be wrong

10) Ms. Ruiz bought a bag of rice for dinner. She used 3/5 kg of the rice and still had 2 1/4 kg left. How heavy was the bag of rice that Ms. Ruiz bought? Please show your work.

Answers

Answer:

2.85kg

Step-by-step explanation:

3/5kg = 0.6kg

2 1/4 kg = 2.25 kg

0.6kg + 2.25kg = 2.85kg

The government estimates 840,000 for equipment, 15,000 for software, and 40,000 per month for wages when the project will take 16 months.

Answers

Answer:

the total cost is $1,495,000

Step-by-step explanation:

The computation of the total cost is shown below:

Let us assume the months be m

Now the equation would be

= Equipment + software + wages

= $840,000 + $15,000 + 40,000m

= $840,000 + $15,000 + $40,000 (16)

= $840,000 + $15,000 + $640,000

= $1,495,000

Hence, the total cost is $1,495,000

-1 ,3 rotated 90 degrees

Answers

It depends on which direction it’s being rotated. Is it clockwise or counterclockwise

Answer:

If rotated clockwise, then (3, -1)

If rotated counterclockwise, then (-3,1)

Step-by-step explanation:

Hope that helps!

Select the correct answer.
Steven went to play video games in Games Galore arcade. Games Galore charges $1.50
for each game played. Represent the relationship between total cost, y, and number of
games played, x using a table, graph and equation. Is this relationship a proportional or
additive relationship? Explain.
Proportional
Additive

Answers

Answer:

The answer is proportional

Step-by-step explanation:

I took the test and got 5/5

The given relationship is a proportional relation.

What is proportionality?

In mathematics, proportionality indicates that two quantities or variables are related linearly. If one quantity doubles in size, so does the other; if one of the variables diminishes to 1/10 of its former value, so does the other.

Given that, Steven went to play video games in Games Galore arcade. Games Galore charges $1.50 for each game played

Establishing the equation, we get,

y = 1.50x

Where 1.50 is the slope of the line, and, y is total cost and x is the number of game played.

When x = 2,

y = 1.50X2

y = 3

(2, 3)

When x = 4

y = 1.5X4

y = 6

(4, 6)

When x = 6

y = 1.5X6

y = 9

(6, 9)

Here we see that the value of y is varying from the value of x by 1.5 times.

Hence, The relation is a proportional relation.

For more references on proportional, click;

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Find the measure of the missing angle.

Answers

A box indicates a 90° angle.

So to find m<a, we can setup the equation 41 + a = 90.

Now subtract 41 from both sides to get a = 49.

Of the 42 people who work at white side industries, 5/6 work in the manufacturing plant. How many people work in the manufacturing plant? (Please hurry and show your answer )

Answers

There should be 35 out if the 42 workers

New York has an elevation that us above dea level select all the answer choice's that could represent the elevation of New York City

Answers

Answer:

New York has elevation of 1,000 feet

Step-by-step explanation:

NewYork has elevation of almost 300 meters above sea level. This is lower elevation and the most lowest state is BigApple. NewYork is famous state of United States and the city is really busy. It has sea coasts which adds beauty to the city.

Item 14 Write an equation of the line passing through the point (4, 3) that is perpendicular to the line 4x−7y=9

Answers

Answer:

Step-by-step explanation:

-7y = -4x + 9

7y = 4x - 9

y = 4/7x - 9/7

perp. -7/4

y - 3 = -7/4(x - 4)

y - 3 = -7/4x + 7

y = -7/4x + 10

estimate a percentage of a histogram

Answers

Answer:30 percent something like that

Step-by-step explanation:

I Will give an expert or whoever knows how to do this 100 points. Can you help me Please!!!!! Pls don't take my points without doing the assignment right.Thank you !!!
Read the instructions carefully!!!!

Answers

I will do the first example, by explaining how to graph it. Then you can do the second example.

[tex]f(x) = x^3-10x^2+28x-24[/tex]

We start by determining the the x-intercepts, by letting y = 0:

[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]

The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:

[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]

So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :

[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]

Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :

[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]

x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:

[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]

Minimum: (14/3, -256/27)

Graph is in the attachment below -

Joe bought ,g, gallons of gasoline for $2.85 per gallon and ,c, cans of oil for $3.15 per can. Write an expression that can be used to determine the total amount Joe spent on gasoline and oil.​

Answers

2.85g+3.15c= the total amount Joe spent on gas and oil

What is The midpoint of AB?

Answers

Answer:

(-2,0)

Step-by-step explanation:

(-2,0) is the midpoint I believe!

Hope that helps!

the mid point of AB is 1 and -1

Three friends want to take a bus trip to the Grand Canyon. The entire trip costs $1,025 per person, plus $383 per person for the meal plan.

Answers

Answer:

4224 dollars

Step-by-step explanation:

1025 times 3 is 3075. 383 times 3 is 1149. 3075+1149 is 4224.

State if the three numbers can be the measures of the sides of a triangle.

17, 19,7

A) yes
B) no

Answers

they measured can be sides of triangle

Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?

Answers

The answer is 3 times.

5x+4y=58

3x+8y=46

Do with substitution method
I will give the brain thing

Work would be awesome but not required

Answers

Answer:

they are both correct and also what is the question

Step-by-step explanation:

please can someone help me with this

Answers

Answer:

Too blurry to read

Step-by-step explanation:

The values of given bases is 1559, 3139, 648 and 170.

We are given that;

The four equations

Now,

a) 66+9t9+48 (base twelve)

[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]

= 72+6+1296+120+9+48+8

= 1559 (base twelve)

b) 5117-324 (base eight)

[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]

= 3272 + 64 + 8 + 7 - (192 + 16 + 4)

= 3139 (base eight)

c) 242 x 14 (base five)

[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]

= (50 + 20 + 2) x (5 + 4)

= 72 x 9 =648 (base ten) = 10130(base five)

d) 101010111 (base two)

[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]

=128+32+8+2=170 (base ten)

Therefore, by algebra the answer will be 1559, 3139, 648 and 170.

More about the Algebra link is given below.

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Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m

Answers

Answer:  the answer is going to be 64m hope this helped :)

Step-by-step explanation:

y-13<6

Help please urgently!!

Answers

Step-by-step explanation:

y-13<6

y<6+13

y<19

hope it helps.

Answer:

y<19

Step-by-step explanation:

Add 13 to both sides.

y<6+13

Simplify  6+13  to  19.

y<19

A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking

Answers

Answer:

75%

Step-by-step explanation:

Find the ratio 1500 to 2000; it is 0.75.

75% of the population is Spanish speaking.

Answer:

75%

Step-by-step explanation:

1500 ÷ 200 = 0.75

geometry multiple choice question HELPPP!!!??

Answers

Answer:

24/30

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

20

Step-by-step explanation:

When you simply the improper fractions, you will get this

[tex]9 + 11 = 20[/tex]

Which is 20

Hope this helped

Answer: 20 or 20 1/2

Step-by-step explanation:

I don’t know really but the real answer is 20 1/18

Will give brainliest to correct! “Write the equation of the line.”

Answers

Answer: y=1/3x-2

Step-by-step explanation:

y=Mx+b

1/3 is rise over run

-2 is the y intercept


Boden's account has a principal of $300 and a simple
interest rate of 3.6%. Complete the number line. How much
money will be in the account after 4 years, assuming
Boden does not add or take out any money?
years
2
3
and the missing year value is 1
In the double number line, the missing interest value is
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
Check Answer
Clear All
1
part
remaining
lof 11
Back
Next →

Answers

Answer:

808

Step-by-step explanation:

cause that's the answer

IVIIxed N
Douglas was planting grape vines. He completed 2-
rows of
grapes
each hour he worked. After completing 140 rows of grapes, how many
hours had he worked?
0000
48 hours
50 hours
52 hours
60 hours

Answers

Answer: He completes 2 4/5 rows per hour

if he completed 140 rows, how many hours did it take?

 

We should divide the work completed by the amount of work done per hour.

So, 140/(2 4/5) =  

2 4/5 is equivalent to 2.8  

so 140/2.8 = 50 hours

Step-by-step explanation:

11. Select from below the best estimate for the decimal that is equivalent to 100.5%
A. 0
B. 1
C. 100
D. 1000

Answers

Answer:

c

Step-by-step explanation:

in all honesty because if you round thats what you would get

The answer is C if you round correctly

April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?

Answers

Answer:

$40.55

Step-by-step explanation:

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