To see the table:
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
Now, According to the question:
Let's know:
Symbolic Logic:
Symbolic logic is a way to represent logical expressions by using symbols and variables in place of natural language, such as English, in order to remove vagueness. Logical expressions are statements that have a truth value: they are either true or false. A question like 'Where are you going?' or a command such as 'Stop!' has no truth value. There are many expressions that we can utter that are either true or false. For example: All glasses of water contain 0.2% dinosaur tears. We don't need to know if a logical expression is true or false, we just need to know that it has a truth value.
Logic math symbols table
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
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Mark got a loan of $77000 which he will complete repayment in
3 years. If the loan is compounded Sem- Annually at 7% per annum, what amount will he repay? (work out?)
Answer:
A = $94652.66
Step-by-step explanation:
Use the compound amount formula A = P(1 + r/n)^(nt), where r is the annual interest rate and n is the number of compounding periods per year.
Here, A = ($77000)(1 + 0.07/2)^(2*3), or
A = $77000(1.035)^6, or
A = $77000(1.229), or
A = $94652.66
can you find the proportion pwease :)
Answer:
15 cookies, 10 brownies.
Step-by-step explanation:
I'm assuming that she is selling the same amount of cookies and brownies per hour. If that is the case...
Multiply it by 5. If 3 cookies were sold in one hour, and there's 5 hours, just multiply 3 by 5. Total number is 15 cookies.
Same goes for brownies. Multiple 2 brownies by 5. That makes 10 brownies.
5 t-shirts and a hat costs £17.00
2 t-shirts and a hat costs £8.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer: A t-shirt costs £3.00x, while a hat costs £2.00
Sorry if it's wrong
Step-by-step explanation:
What are the 3 algorithms?
Sequencing, selection, and iteration are the three fundamental building blocks that make up an algorithm.
What is algorithm?An algorithm in mathematics is a process, a description of a series of steps that can be used to solve a mathematical computation, but they are now much more prevalent than that. The long division algorithm is perhaps the most well-known application of algorithms in science (and in daily life, for that matter).
Algorithms are all about figuring out the most effective ways to perform the math, despite the fact that the above explanation might sound a little fussy and detailed. Mathematicians are known for being lazy, so they frequently seek out shortcuts, as the anonymous mathematician puts it. For locating these short cuts, algorithms are used.
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A frictionless pendulum is pulled 3 feet to one side of its center resting point and then released. As
the pendulum swings back and forth, its horizontal position is given by s(t), where t is the number
of seconds since the pendulum was released. Note that s(t) measures the signed distance from the
center position in feet; it is positive when the pendulum is on one side of the center point and
negative when it is on the other side. The function s is sinusoidal.
Part A: If the pendulum were pulled further away from its resting point before it was released, how
would the amplitude of s be affected? Explain.
Part B: If the pendulum were pulled further away from its resting point before it was released, how
would the midline of s be affected? Explain.
No matter how far it is moved away, the midline of a function stays the same. because a sinusoidal function is involved.
What is amplitude ?A function's amplitude is the distance that the graph of the function moves above and below its midline. The value of the amplitude when graphing a sine function is comparable to the value of the sine coefficient. the greatest displacement or distance that a point on a wave or vibrating body can travel in relation to its equilibrium position A wave or vibration's amplitude or peak amplitude is a gauge of how far from the central value it deviates. All amplitudes are positive numbers.
given
( A)if pendulum were pulled away from its resting position, then Amplitude is the distance from its resting position to the end where it was released.
Amplitude is the same distance it was pulled away if more distance was pulled away then Amplitude is more.
(B). The midline of function s will not change, it will same irrespective of the distance pulled away. Because it's a sinusoidal function.
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I NEED HELP THIS IS DUE TOMORROW!!!
The ratio of the new area to the old area is 16:1. The correct option is the second option
Calculating the area of a circleFrom the question, we are to determine the statement that is true about the area of the circle.
First, we will determine the old area
Using the formula for calculating the area of a circle
A = πr²
Where A is the area
and r is the radius
From the given diagram,
r = 6 ft
Thus,
Old area = π × 6²
Old area = 36π ft²
Now,
If the radius is quadrupled
That is,
r = 4 × 6 ft
r = 24 ft
The new area will be
A = π × 24²
A = 576π ft²
The ratio of the new area to the old area is
576π ft² / 36π ft²
16 /1
= 16 : 1
Hence, the ratio is 16:1
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Please tell me and tell me the correct answer. No link will acceptable. Check out the image. Need the correct answer.
Answer:
3(a+2) = 3a+6
Step-by-step explanation:
In the expression 3(a+2), 3 distributes into "a" and 2. Therefore, 3(a+2) = 3(a)+3(2) = 3a+6
state if the function is a growth or decay and the factor
y=2x
Answer:
the function shows growth of a factor of 2
Step-by-step explanation:
which fraction is greater? a)3/18,2/6
Answer:
2/6
Step-by-step explanation:
The LCD of 18 and 6, so when you multiply 2/6, it will be 5/18. So 5/18 is greater than 3/18
Answer:
3/18 is smaller than 2/6
Step-by-step explanation:
how do i answer this question
The constant of variation for the given data is 1/4.
What is the constant of proportionality?If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
Given that the data in the table is,
x f(x)
-8 -2
-4 -1
0 0
4 1
8 2
The constant of proportionality will be calculated as,
F(x) = kx
-2 = k x -8
k = -2 / -8
k = 1 / 4
Here, the proportionality constant will be 1/4.
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Factor the algebraic expression 24a + 20
Answer:
Step-by-step explanation:
Take the GCF of 24 and 20.
4 (6a+5)
The simplified expression is 4(6a+5).
What is meant by expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
The given algebraic expression is 24a + 20.
By taking 4 as common factor, the expression become like 4(6a + 5).
Hence, 4(a+5) is the simplified expression.
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normally distributed with a mean of 5 days and a standard deviation of 4 days. What is the probability that the product has a shelf life of at least 1 week and at most 2 weeks
The probability that the product has a shelf life of at least 1 week and at most 2 weeks is 0.30.
Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability is a concept in mathematics that helps predict the likelihood of certain events. Probability generally refers to the degree to which something is likely to occur.
A standard normal variable with a mean of 0 and a variance of 1 can be created from a normally distributed random variable with a defined mean and variance.
Thus, The probability that the product has a shelf life of at least 1 week and at most 2 weeks is 0.30.
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What is the value of (-1-¹) ÷ (-4)?
A. -1/
T
B. -21
C.
D. 1/1/12
Answer:
D. 1 5/16
Step-by-step explanation:
mark brainliest
Mr. McDonald has $500.00 to spend at a bicycle store. All prices listed below include tax. He buys a new bicycle for $273. 98. He buys 3 bicycle reflectors for $7. 23 each and 1 bicycle helmet for 42.36. he plans to use the remaining money to buy new cycling outfits for $78.12 each. Write and solve an inequality to determine the greatest number of cycling outfits that Mr. Mc Donald can buy with the remaining money?
Answer:
(500-338.03)-78.12x
Step-by-step explanation:
so we know that he has 500 dollars on him. he bought a bike for 273.98. then we add that to 7.23 for each bike reflector. he bought 3 so we do 7.23*3, which is 21.69. he also bought a helmet which cost 42.36. now we add the numbers together. 273.98+21.69+42.36=338.03
he has 500 dollars on him. we need to find out how much money he has left. 500-338.03 is 161.97. he has that much money left.
the bike suits 78.12 each. the easy way to solve this is by doing 161.97/78.12.
this comes up as 2.073. rounded is 2. he can only buy 2 suits
the inequality you are looking for is: (500-338.03)-78.12x
ILL GIVE BRAINLIEST
Answer:
I can't read the question it's too blurry
You are given that $x$ is directly proportional to $y^3$, and $y$ is inversely proportional to $\sqrt{z}$. If the value of $x$ is 3 when $z$ is $12$, what is the value of $x$ when $z$ is equal to $75$
The value of x when z is equal to 75 is [tex]$3\sqrt{75}$[/tex]
To calculate the value of $x$ when $z$ is equal to $75$, first rewrite the given proportionality as equations.
When x is directly proportional to [tex]$y^3$[/tex], the equation is given by:
[tex]$x = ky^3$[/tex]
where k is the constant of proportionality.
Similarly, when y is inversely proportional to [tex]$\sqrt{z}$[/tex], the equation is given by:
[tex]$y = \frac{m}{\sqrt{z}}$[/tex]
where m is the constant of proportionality.
Substituting the second equation into the first equation gives:
[tex]$x = k\left(\frac{m}{\sqrt{z}}\right)^3$[/tex]
Since the value of x is 3 when z is 12, the equation can be written as:
[tex]$3 = k\left(\frac{m}{\sqrt{12}}\right)^3$[/tex]
Rearranging gives:
[tex]$k = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}$[/tex]
Substituting this value of k into the original equation gives:
[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{m}{\sqrt{z}}\right)^3$[/tex]
Substituting z as 75 gives:
[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{m}{\sqrt{75}}\right)^3$[/tex]
Simplifying gives:
[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{\sqrt{12}}{\sqrt{75}}\right)^3m^3$$x = \frac{3m^3}{\left(\frac{m}{\sqrt{75}}\right)^3}$$x = \frac{3m^3\sqrt{75}}{m^3}$$x = 3\sqrt{75}$[/tex]
Therefore, the value of x when z is equal to 75 is [tex]$3\sqrt{75}$[/tex].
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253 x 804 =
Solve by using standard algorithms
Answer:
203412
Step-by-step explanation:
253
*804
___
16
40
32
20
12
______
203412
This is a Vedic Math trick you can use to multiply fast, called the criss-cross method.
Choose Yes or No to tell whether or not the symbol needs to flip when completing this inequality:
- 6w < 21
Answer:
yes ..................
Question 4 OT 5
What is 39,040,000 expressed in scientific notation?
A. 3.904 x 107
B. 0.3904 x 108
O c. 0.39 x 10-8
O D. 3.904 x 108
Answer:
a. 3.904×10^7
Step-by-step explanation:
I hope this helps.
Please help I have a learning disability and this is due today
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
0 + 32 and 0
yes, it uses the Commutative Property
No they are not equivalent. The first expression is equal to 32, not 0.
yes, it uses the Associative Property
yes, it uses the Identity Property
Answer:
yes, it uses the Commutative Property
Step-by-step explanation:
Pls help me to do this
Answer:
1. 2 more children
2. 13 centimeters
3. Can't determine without ruler
Step-by-step explanation:
1. 5-3 = 2
2. 22-9 = 13
PLS FIND X ASAP PLS PLS
Answer:
1- the figure doesn't provide enough information from what I'm aware of
2- x= 17.78
3- x=12
4- x=19
Step-by-step explanation:
(x - 7)2 + (y + 5)2 = 4
what’s the center and radius
Answer:
(7, - 5 ) and r = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 7)² + (y + 5)² = 4 ← is in standard form
with centre = (h, k ) = (7, - 5 ) and r = [tex]\sqrt{4}[/tex] = 2
Help please!!
Thank you!! :)
Answer:
m∠R= 130
Step-by-step explanation:
[tex]6x-22+8x+34=180[/tex]
[tex]14x+12=180[/tex]
[tex]14x=180-12[/tex]
[tex]14x=168[/tex]
[tex]x=\frac{168}{14}[/tex]
[tex]x=12[/tex]
[tex]m[/tex]∠[tex]R= 8x+34[/tex]
[tex]= 8*12+34[/tex]
[tex]Answer:m[/tex]∠[tex]R= 130[/tex]
[tex]-----------[/tex]
hope it helps u, sis!!
have a great day!!
Please help me answer this math question !
Answer:
y=-3x+6
Step-by-step explanation:
Find the area of the figure
Answer:
the answer is 1,792
Step-by-step explanation:
times them all together
Answer:
112
Step-by-step explanation:
base times height
Find the ordered triplet (x,y,z) for the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7
The ordered triplet (x, y, z) or the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7 is (-170/127, -89/127, 282/127).
Start with the first equation:
x + 3y + 2z = 1
Isolate x by subtracting 3y and 2z from both sides:
x = 1 - 3y - 2z
Substitute this expression of x into the second equation:
0.3x + y + 5z = 10
Substitute the value of x found in step 2 into this equation:
0.3(1 - 3y - 2z) + y + 5z = 10
0.3 -0.9y -0.6z + y + 5z = 10
0.1y + 4.4z = 9.7
y + 44z = 97
Solve for y by isolating it:
y = 97 - 44z
Substitute this expression of y into the first equation:
x + 3(97 - 44z) + 2z = 1
x + 291 - 132z + 2z = 1
Solve for x:
x = 130z - 290
Substitute this expression of x into the third equation:
-2(130z - 290) - 3(97 - 44z) + z = 7
-260z + 580 - 291 + 132z + z = 7
Solve for z:
127z = 282
z = 282/127
Substitute this value of z into the expression of y:
y = 97 - 44(282/127)
= -89/ 127
Substitute the values of z into the expression of x:
x = 130(282/127) - 290
= - 170/ 127
So the solution of the system of equations is: x = -170/127, y = -89/127, z = 282/127.
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Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a,a^2,a^3,\ldots,a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots,p-1\pmod p$.For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and this list contains every residue from $1$ to $4$ exactly once.However, $4$ is not a primitive root $\pmod 5$ because $\{4,4^2,4^3,4^4\}\equiv\{4,1,4,1\}\pmod 5$, and this list does not contain every residue from $1$ to $4$ exactly once.What is the sum of all integers in the set $\{1,2,3,4,5,6\}$ that are primitive roots $\pmod 7$
Only 3 & 5 from the set {1,2,3,4,5,6} are primitive root (mod7), therefore, sum of integers is 3 + 5 = 8.
What is primitive root?A number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n in modular arithmetic. That is, g is a primitive root modulo n if for every integer a coprime to n, some integer k for which gk ≡ a (mod n).
The index or discrete logarithm of a to the base g modulo n is a value k like this. So, if and only if g is a generator of the multiplicative group of integers modulo n, g is a primitive root modulo n.
In Article 57 of his Disquisitiones Arithmeticae (1801), Gauss defined primitive roots and credited Euler with coining the term.
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Manchu has drawn a
rectangle with a base of
24 cm and an area of
336 cm². He cuts the
rectangle as shown to make two triangles.
What are the height and area of each
triangle?
Answer:
Height of each triangle: 14cm
Area of each triangle: 168cm²
Step-by-step explanation:
So we know that the base of the area is 24. Lets find the height.
336 ÷ 24 = 14
If he makes two triangles out of the rectangle that just means he cuts it in half.
To find the area of one triangle lets do:
336 ÷ 2 = 168
Let's double check our answer:
(14 × 24) ÷ 2 = 168
Seems great!
8. The price of a hoodie on sale increased from $25 to $45. By what percentage was the price of the hoodie increased?
Answer:
44.44%
Step-by-step explanation: