The correct sentence which has equivalent meaning to the expression p→q is "If a program freezes, the computer is restarted."
The expression p→q is a conditional statement which is read as "if p, then q." It indicates that whenever p is true, q must also be true. There are four English sentences given and we need to identify the sentence which is equivalent to the given expression. Let's discuss each of these sentences one by one: If the computer is restarted, then a program froze: This sentence can be written in the form of q→p. But the given expression is p→q.
Therefore, this sentence is not equivalent to the given expression.If a program freezes, the computer is restarted: This sentence is equivalent to the given expression. Therefore, this is the correct answer.If the computer is not restarted, then a program did not freeze: This sentence is the inverse of the given expression.
The inverse of a conditional statement is not logically equivalent to the original statement. Therefore, this sentence is not equivalent to the given expression.If a program does not freeze, the computer is not restarted: This sentence is the contrapositive of the given expression. The contrapositive of a conditional statement is logically equivalent to the original statement. But this is not the sentence we are looking for.
Therefore, this sentence is not equivalent to the given expression.Therefore, the correct sentence which has equivalent meaning to the expression p→q is "If a program freezes, the computer is restarted."
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Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
On a coordinate plane, the point (0, 3) is graphed.
On a coordinate plane, the point (0, 4) is graphed.
On a coordinate plane, the point (3, 0) is graphed.
On a coordinate plane, the point (4, 0) is graphed.
The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.
What is an ordered pair?The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.
Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.
Given, Ramon is graphing the function f(x) = 3 + (4)x.
We know the initial value of a function is determined when the independent variable is set to zero.
Here the independent variable is 'x'.
Now, at x = 0,
f(0) = 3 + (4)(0).
f(0) = 3.
So, The ordered pair is (0, 3).
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Answer:
a
Step-by-step explanation:
Distance between y=2 and y=-6
Answer:
8
[2] +[-6]
2 + 6 = 8
Step-by-step explanation:
Find the measure of angle 7.
(WILL MARK BRAINLIST JUST HELP)
Answer:
angle 7 is 26 degrees
Step-by-step explanation:
180 - 154 = 26
A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?
1 minute = 60 seconds
60 seconds/ 3 seconds = 20
480 feet x 20 = 9,600 feet
The elevator travels 9,600 feet per minute.
Answer:
160 feet per minute
Step-by-step explanation: i am 100% sure
use the following order for the rows in your truth tables. 2. (14 marks) Construct truth tables for the statement forms below. After each truth table, indicate whether the statement form is: (i) a tautology, (ii) a contradiction, or (iii) neither. [Note: We will cover tautologies and contradictions in class on Friday, September 23.] In your truth tables, make sure that you include a column for each intermediate expression that you evaluate on your way to your final answer. (a) (Q∧¬P)→(P→¬Q) (b) ((P∧R)∨(Q∧¬P))∧¬(Q∧R)
(a) (Q ∧ ¬P) → (P → ¬Q) is neither a tautology nor a contradiction. The truth table for (a) is shown below.
| P | Q | ¬P | Q ∧ ¬P | P → ¬Q | Q ∧ ¬P → P → ¬Q |
| --- | --- | --- | ------ | ------ | ---------------- |
| T | T | F | F | F | T |
| T | F | F | F | T | T |
| F | T | T | T | T | T |
| F | F | T | F | T | T |
(b) ((P ∧ R) ∨ (Q ∧ ¬P)) ∧ ¬(Q ∧ R) is neither a tautology nor a contradiction. The truth table for (b) is shown below.
| P | Q | R | ¬P | Q ∧ ¬P | P ∧ R | (P ∧ R) ∨ (Q ∧ ¬P) | Q ∧ R | ¬(Q ∧ R) | ((P ∧ R) ∨ (Q ∧ ¬P)) ∧ ¬(Q ∧ R) |
| --- | --- | --- | --- | ------ | ----- | ----------------- | ----- | -------- | --------------------------------- |
| T | T | T | F | T | T | T | T | F | F |
| T | T | F | F | F | F | F | F | T | F |
| T | F | T | F | F | T | T | F | T | F |
| T | F | F | F | F | F | F | F | T | F |
| F | T | T | T | T | F | T | T | F | F |
| F | T | F | T | T | F | T | F | T | F |
| F | F | T | T | F | F | F | F | T | F |
| F | F | F | T | F | F | F | F | T | F |
In (a), we use a truth table to test if the given statement is a tautology, contradiction, or neither. By analyzing the truth table, we can see that the statement is neither a tautology nor a contradiction since there are both true and false values in the column that gives the output of the statement.In (b), we also use a truth table to test if the given statement is a tautology, contradiction, or neither. By analyzing the truth table, we can see that the statement is neither a tautology nor a contradiction since there are both true and false values in the column that gives the output of the statement.
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Convert the following Standard Form Equations into Slope Intercept Form.
2x-y=15
Answer: y=2x-15
Step-by-step explanation:
A 2 x 3 factorial design with between subjects variables was carried out with 8 subjects per cell. how many levels in the first factor and second factor, respectively?
In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.
In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.
In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.
For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.
So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.
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What is the reason that Della is crying at the beginning of the story?
Della was crying because she doesn't have enough money to brought the present for her husband Jim.
Basically, the O Henry's story of "The gift of Magi" has the central them as Love. In this story, he sets up a contrasted picture in life- love among the ruins- the acute poverty in the family and the sacrifice of the greatest possessions of the family.
In this stage he defines how their possession has helped Jim and Della, that's the hero and heroine to conquer poverty they were in.
Now, the reason behind Della's cry was she had only one dollar and eighty seven cents and with this small amount she could not buy a good present for her dear husband.
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Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
Suppose A< - 1 what must be true about the value of b so that ab< a
Answer:
b must be positive
Step-by-step explanation:
if a is less than -1
that means to get smaller numbers
b needs to be positive
so that when a is multiplied by b you would have
numbers that are more negative
Answer:
b > 1
Step-by-step explanation:
Given:
a < -1 ab < aSubstituting a = -1 into ab < a
⇒ (-1)b < -1
⇒ -b < -1
⇒ b > 1
If a < -1 then a is negative. If ab < a then ab is also negative.
In order for ab to be negative (when a is negative) b must be positive.
For ab < a then b > 1.
Proof
If b = 0.5 and a = -1.5 then ab = -0.75
As -0.75 > -1.5 then ab > a so this cannot be true.
If b = 1.5 and a = -1.5 then ab = -2.25
As -2.25 < -1.5 then ab < a so this is true.
Therefore b > 1
Archimedes drained the water in his tub. 62.562.562, point, 5 liters of water were drained each minute, and the tub was completely drained after 888 minutes.
Answer:
500 liters
Step-by-step explanation:
We want to find the total amount of water that was drained.
He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:
62.5 * 8 = 500 liters of water
Factor the following polynomial completely.
A.
B.
C.
D.
Step-by-step explanation:
Please write complete question
Answer:
lol u gotta put the thing first bro
Step-by-step explanation:
Hurry I need to get this done
A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.
B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.
C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.
D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.
So A. is the correct answer.
Answer:
A. (2,4), (2,7)
Hope you could get an idea from here.
Doubt clarification - use comment section
Need help now please
Answer:
f(13)=105
f(4)=58
f(6)=-5
f(7)=26
Step-by-step explanation:
Good luck
p – 12 = 1 just answer it
Answer:
p=13
Step-by-step explanation:
because I said so and it right
Answer:
P=13
Step-by-step explanation:
What is the solution of |y+2|=6
|y+2| = 6
There are 2 cases possible -
1st case -
y + 2 = 6
y = 6 - 2
y = 4
2nd case -
- ( y + 2 ) = 6
- y - 2 = 6
- y = 6 + 2
- y = 8
y = -8
Values of y = 4, -8I need help please I’m not sure how to do this
Answer:
This is just simply saying 1 divides by 2 we that is 0.5 in decimal
Hope I helped
May someone pls help me with this?
Answer:
L m a o i only in middle school but its nice that people on this app are polite.
prove that: tan[(π/4)+(x/2)] + tan[(π/4)-(x/2)]= 2secx
we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)
and tan(A-B)= (tanA-tanB)/(1+tanAtanB)
tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)
tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)
now add the equation (1) and (2) which is LHS of question. So we get:
{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS
Hence proved.
For all numbers x, if 3(x + 2) = 72 – 3, then x = ?
Answer:
A.
Step-by-step explanation:
The coordinates of the vertices of a triangle are E (-2, 6), F (-2,-2),
and G (5,-3). Triangle EFG is reflected across the y-axis to create
triangle efg
Answer: E' (2,6) F' (2,-2) G' (-5,-3)
Step-by-step explanation: To find the coordinates flipped over the y-axis the rule goes from (x,y) to (-x,y) *Just a reminder the negative sign doesn't necessarily mean negative. It just means the opposite sign, so negative numbers would turn positive.
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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10 POINTS. Answer please.
The two sets A and B triangle must have identical items, but this does not require that they be put in the same order for the sets to be equal.
Describe the triangle.A triangle is a 2D shape with three vertices, three straight edges, and three straight edges. A key feature of these shapes is that each type of triangle has three inner angles that add up to 180° in these designs. during their math lectures about these angles and how to use this quality to spot missing values.
Here,
Triangle 1 in this instance has two angles, one of 34 degrees and the other of 48 degrees.
The third angle is therefore 180-34- 48=98.
The angles in Triangle 2 are 34 and a, where an is 48, respectively.
In other words, the third angle is 180−34−a=146−a≠146−48=98.
Jennifer claims that given the information at hand, triangles 1 and 2 cannot be compared.
If 34,98,48=34,a,146a., they are equivalent.
How many degrees will Jennifer's claim be ruled untrue? To compare the triangles, use the formula a.
It is crucial to understand that while components in two sets A and B must match, the sets are not always equal if they are not listed in the same order.
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A set of 4 consecutive integers has a sum of –270. which integers are they?
HELPPP
The set of 4 consecutive integers that has a sum of –270 is -69, -68, -67 and -66
How to determine the integers?The statement in the question is represented as
A set of 4 consecutive integers has a sum of –270
As a general rule of numbering;
Consecutive integers are integers that have a difference of 1
These numbers can be negative or positive
Solving further, we can represent the smallest integer with x
So, the other integers are x + 1, x + 2 and x + 3
Recall that the sum of the four integers is -270
This statement implies that
Sum = -270
So, we have
x + x + 1 + x + 2 + x + 3 = -270
Evaluate the like terms
4x + 6 = -270
Evaluate the like terms
4x = -276
Divide both sides by 4
x = -69
So, we have
x + 1 = -68
x + 2 = -67
x + 3 = -66
Hence, the integers are -69, -68, -67 and -66
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–4x + 7 = 2y – 3
(-1,-6)
(5,5)
None of the above
Answer:
None of the Above
Step-by-step explanation:
Hope this helps
Given the equation of a line y =-5x -16, what is the slope of a line PARALLEL to this line?
Answer:
-5
Step-by-step explanation:
slopes of parallel lines are the same
the area of an equilateral triangle ABC is 50 cm² find AB
Answer:
Step-by-step explanation:
Length of side AB=a=10.75cm
What i the equation of a line that i parallel to the line y =2x 7 and pae through the point -2,4
The equation of a line y=2x+8.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis
Looking at the given line,
y = 2x + 7
Compared with the slope-intercept equation,
Slope, m = 2
If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2
Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes
4 = 2 × - 2 + c
4 = - 4 + c
c = 4 + 4 = 8
The equation becomes y=2x+8.
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In your piggy bank, you have 15 quarters, 2 dimes, 1 nickel and 32 pennies. You tip the bank, and out rolls one, then another , then another coin. Find the probability that the coins came out as the follows:
a) 1 penny, 1 quarter, 1 dime
b) 1 penny, 1 quarter, 1 penny
Please show work. Thank You!
Answer:
B) Is the answer.
Step-by-step explanation:
If you have 15 quarters and 32 pennies, you have more than twice the amount of pennies that you do quarters. There is a small chance that it could be a dime or a nickel but this is unlikely. The chance of a quarter and penny falling out is much greater than a dime or nickle.
Here are five number cards . 2,5,8,9,13 . One of the cards is removed and the mean average of the remaining four number cards is 7
When one of the number cards (9) is removed from the set {2, 5, 8, 9, 13}, the mean average of the remaining four cards is 7.
Let's solve the problem step by step:
Calculate the sum of the four remaining number cards:
Sum = 2 + 5 + 8 + 13 = 28
Since the mean average is the sum divided by the number of items, we can set up the equation:
Mean average = Sum / Number of items
7 = 28 / 4
Multiply both sides of the equation by 4 to isolate the sum:
7 * 4 = 28
28 = 28
This equation is true, which means the mean average of the four remaining number cards is indeed 7.
Now, we need to find the removed card. Subtract the sum of the remaining four cards from the total sum of all five cards:
Total sum = 2 + 5 + 8 + 9 + 13 = 37
Removed card = Total sum - Sum of remaining cards
Removed card = 37 - 28 = 9
Therefore, the removed card is 9.
In summary, when one of the number cards (9) is removed from the set {2, 5, 8, 9, 13}, the mean average of the remaining four cards is 7.
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