Two statements are logically equivalent if they have the same truth value in all possible circumstances, meaning that they are either both true or both false in any given context.
For example, the statement "All dogs are mammals" is logically equivalent to the statement "All non-mammals are not dogs." Although the statements use different words and phrasing, they convey the same information and are both true.
Another example would be the statement "x>2" is logically equivalent to the statement "x>=3" because they both would have the same solutions.
Logical equivalence is important in logical reasoning, proof and in computer science where it is used to determine if two statements are logically equivalent which leads to simplify the boolean expressions.
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How do you solve the equation 5t 3 3t 5?
By solving the equation 5t - 3 = 3t - 5 we get the equation is true when t = -1. So the solution is t = -1.
To solve the equation 5t - 3 = 3t - 5, you can use algebraic manipulation to isolate the variable on one side of the equation.
The first step is to get all the terms with the variable on one side of the equation and all the constant terms on the other side.
5t - 3 = 3t - 5
adding 3 to both sides:
5t = 3t - 2
subtracting 3t from both sides:
2t = -2
then divide both sides by 2:
t = -1
So the solution is t = -1, meaning that when t = -1, the equation is true.
--The question is not clear, answering to the question below--
"How do you solve the equation 5t - 3 = 3t - 5?"
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Pam said the equations x/16=4 and x/4=16 have the same solution. Is she correct? Explain
well, maybe Pam has been eating the wrong chips or something, but if she's correct, that can only happen if both equations are exactly equal, are they?
[tex]\boxed{\cfrac{x}{16}=4}\implies x=(16)(4)\implies \cfrac{x}{4}=16 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x}{4}=16\implies x=(4)(16)\implies \boxed{\cfrac{x}{16}=4}\qquad \begin{array}{llll} \textit{yeap, Pam is correct}\\ \textit{she's Da Bomb} \end{array}[/tex]
Can someone please help me with this? and also help me understand how to do it I have a test this Friday.
The solution to the equation is g = 4π² ( L / T² )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The formula to determine the time period of a simple pendulum is given by
T = 2π √ ( L / g ) be equation (1)
where L = length of string
g = acceleration due to gravity
On simplifying the equation , we get
Divide by 2π on both sides of the equation , we get
√ ( L / g ) = T / 2π
Squaring both sides of the equation , we get
( L / g ) = T² / ( 2π )²
( L / g ) = T² / 4π²
Now , taking reciprocals on both sides of the equation , we get
g / L = 4π² / T²
Multiply by L on both sides of the equation , we get
g = 4π² ( L ) / T²
On simplifying the equation , we get
g = 4π² ( L / T² )
Therefore , the value of A is 4π² ( L / T² )
Hence , the equation is g = 4π² ( L / T² )
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PLEASE HELP QUICK!!!
Answer:
b
Step-by-step explanation:
PLEASE I REALLY NEED HELP!!! DUE SOON
Answer:
Answer is 69.08 m
Step-by-step explanation:
use formula 2 pie r
radius=diameter/2
=22/2
=11
therefore radius is 11
put the value of radius in the formula 2 pie r
pie=3.14
CAN SOMEONE HELP PLEASE !
Answer:
a= 1
b= 3
c= 1
d= 2
e= 6
f= 8
Step-by-step explanation:
_________
In ΔXYZ, x = 5. 2 inches, y = 9. 8 inches and z=7. 1 inches. Find the measure of ∠Z to the nearest degree
The measure of ∠Z is 165 degrees to the nearest degree.
In a triangle, the measure of each angle is equal to the sum of the measures of the other two angles subtracted from 180 degrees. This is known as the Triangle Sum Theorem.
Given that x = 5.2 inches, y = 9.8 inches, and z = 7.1 inches in triangle XYZ, we can use the theorem to find the measure of angle Z.
∠Z = 180 - (x+y)
∠Z = 180 - (5.2+9.8)
∠Z = 180 - 15
∠Z = 165
So the measure of ∠Z is 165 degrees to the nearest degree.
Therefore, The measure of ∠Z is 165 degrees to the nearest degree.
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Round off 5698 and 8236to the nearest tens.After rounding them off, add them. Then, Round off the sum to the nearest hundred. What do you get?
Answer:
13900
Step-by-step explanation:
Round off 5698 to it nearest tens
5700
Then Round off 8236 to its nearest tens
8240
Add up 5700 + 8240 = 13940
Round off 13940 to its nearest hundred
13900
Use the distributive property to rewrite each expression. Then evaluate. 14 (102)
Using the distributive property to rewrite the expression, gives (14 x 10) + ( 14 x 2). When evaluated, the result would be 168.
What is the distributive property?According to the distributive property, it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
This means that with the formula given, 14 (10 + 2):, the distributive property makes it:
= 14 (10 + 2)
= (14 x 10) + ( 14 x 2)
The evaluation gives :
= (14 x 10) + ( 14 x 2)
= 140 + 28
= 168
In conclusion, using the distributive property gives (14 x 10) + ( 14 x 2).
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Saad yearly income is rs 236000.How much income tax he paid
Saad's income tax will be N.I.L.
Here, saad's yearly income is Rs 2,36,000.
The rate of income tax on his income will be nil because,
INCOME TAX RATE
0-2,50,000 NIL
2,50,000-5,00,000 5%
5,00,001-10,00,000 20%
More than 10,00,000 30%
Computation of tax liability of Saad
Tax on 1st 2,36,000 = N.I.L
As his income is less than 2,50,000 no income tax shall be charged to saad's income.
Therefore, the tax liability of saad would be 0.
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Im sick and tired of people not answerimg my question or trolling me. PLEASE ANSWER ive been stuck on this for 15 minutes
Answer:
no, because she needs 480 grams and the bottle only contains 350
Step-by-step explanation:
i'm sorry you had to wait , i hate trolls as well :(
What does =] mean in text?
It typically means that the person is being friendly and is in a good mood.The expression =] is often used as an emoticon to express friendliness, positivity, and happiness. It can be used as a stand-alone expression or as part of a longer sentence.
The expression =] is commonly used in text conversations as an emoticon to express friendliness, positivity, and happiness. It is typically used when a person wants to convey a feeling of warmth and good cheer. The expression can be used as a stand-alone expression or as part of a longer sentence. When used alone, it has a meaning similar to a smiley face and can be used to respond to a message in a positive way. When used as part of a longer sentence, it can be used to express a feeling of contentment. As an emoticon, it has no specific meaning, but it can be used to show that the person is in a positive and good mood. Using this expression can be a way to show that you are happy and in a friendly mood.
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d(n)=-5(1/2)^n-1 what is the 3rd term in the sequence
Answer:
-1.25
Step-by-step explanation:
Better to write this as
a(n)= -5(1/2)^(n-1)
Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or a(3) = -5(1/2)^2 = -5/4 = -1.25
Answer:
-1.25
Step-by-step explanation:
thats the answer on khan
Giving Brainliest! The scatter plot shows the atmospheric carbon dioxide concentration since 2005. Select the correct answers in the drop down menu.
Answer:
cannot see what is in drop-downs but here are my answers:
risen
428.643
strong positive
highly accurate
Step-by-step explanation:
evaluate the expression 4x^3 if x is 1
Answer:
Calculate the number of whole years it takes for the population to decrease from 2180 to less than 1000
Step-by-step explanation:
need help asap!!! will give brainliest!!!
Answer:
27
Step-by-step explanation:
i need help pls I'm struggling .
Answer:
answer: 1/36 or 2.8%
Step-by-step explanation:
Green is the answer because probability for this will be found by doing the chances for both multiplied by each other there is a 1/6 chance of getting 5 so 1/6 x 1/6 = 1/36 so thats why green is the answer. Hope that helps!
Find the surface area of the prism. HELP IT DUe in 10 mins so I will mark you as brainly if you answer correctly
Answer:
answer: 740
Step-by-step explanation:
Hope that helps!
According to the direct instruction, what is the recommended amount of servings for milk or milk products per day?
a.5 cups
b.3 cups
c.1 cup
Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.
What are dairy products ?Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).
The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.
Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.
A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .
After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.
Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.
Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.
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Which of the following is a radical equation?
X+ sr 5-12 X^2 = 16
3+ x sr 7 = 13
7sr x =14
Hiiioo! Someone please help me out!❤️:)
Answer:
bxwxh base x width x height.
Step-by-step explanation:
b=4
w=11
h=3
What kinds of problems are not solved by algorithms?
Answer:
Undecidable Problems
Step-by-step explanation:
Help please I don’t understand
Your answer is wrong. The correct answer is J. She needs to jog another 285 yards.
3 miles is equal to 5280 yards. If she jogged so for 4,995 yards, you need to subtract 4,995 from 5280. Therefore, she needs to jog 285 more yards. Hope this helps! Good Luck!
35% of ____ = $3.50 find the unknown number
Answer:
10
Step-by-step explanation:
35% of x = 3.5 To change a percent to a decimal, divide by 100%
.35x = 3.5 Divide both sides by 3.5
[tex]\frac{.35x}{.35}[/tex] = [tex]\frac{3.5}{.35}[/tex]
x = 10
Check:
.35 x 10 = 3.3.5 = 3.5
Answer:
10
Step-by-step explanation:
Let the unknown number be x.
35% of x = 3.50
35/100 * x = 3.50
35x = 3.50 * 100
35x = 350
x = 350/35
x = 10
Hence, the unknown number is 10.
if you decrease £40 by 25% what do you get? i'm really bad at dividing and all that..
Answer:
£30
Step-by-step explanation:
hii :)
to solve this you can divide 40 by a hundred (to find 1%) and multiply that by 25 percent (to get 25% of 40) and then subtract that to find the decrease of 40 by 25%.
so 40/100=0.4
0.4*25=10
40-10= £30
hope this helped :)
Marking brainliest
Can someone tell me why animal testing is bad?
The harmful use of animals in experiments is not only cruel but also often ineffective. Animals do not get many of the human diseases that people do, such as major types of heart disease, many types of cancer, HIV, Parkinson's disease, or schizophrenia.
During a football game the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Write and solve an expression that represents the situation.
An expression that describes the given situation is; Total yards = -6 - 5 and the solution is -11
How to solve basic number problems?
In mathematics, a positive number means we have a plus sign before the number which means if we have +2, it means that there has been a gain of 2 units. In a similar manner, a negative number represents a loss which means that if we have -3, it simply means there is a loss or reduction of 3.
Now, we are told that during a football game, the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Thus, using the concept of positive and negative numbers above, we can develop the total number of yards as;
Total yards = -6 - 5
Total yards = - 11 yards
This represents a loss.
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Ebony owns a dress-making company that sells directly to stores. She charges $14.60 per dress if the store orders up to 40 dresses. For each additional dress ordered after the initial 40 dresses, Ebony takes 1/4 off the original price. If a store bought 56 dresses from Ebony, how much did the store pay?
Answer:
The store pays $992.80 dollars
Step-by-step explanation:
First we multiply 14.60 by 40.
14.60 x 40 = 584
Next we find out what 14.60 times 1/2 is.
14.60 x 1/2 = 7.3
Then we multiply 56 by 7.3
56 x 7.3 = 408.8
Finally we add both prices.
584 + 408.8 = 992.80
So, the answer is $992.80
Hope this helps! :)
Sandy had 211 dollars to spend on 9 books. After buying them she had 13 dollars. How much did each book cost ?
Answer: $22
Step-by-step explanation:
211 - 13 = 198
198/ 9 = 22
What does += mean in Python?
In Python an operator += is an assignment operator which adds the value on its right to the variable and assigns the result to the variable on its left.
We know that an operator is a symbol that represents a mathematical or logical process.
We know that in Python the operator += provides a convenient way to add a value to an existing variable and assign the new value back to the same variable.
If p += q
This means, the variable p the left side is getting added to the value on the right side (q), and the result is then reassigned to the variable on the left.
i.e., p = p + q
+= is an assignment operator.
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