The expression "З X (X = X)" can be interpreted as a logical statement involving the existential quantifier and an identity statement.
We have,
The symbol "З" or "∃" represents the existential quantifier, indicating that there exists at least one element that satisfies a certain condition.
The statement "(X = X)" is an identity statement, which states that any element X is equal to itself.
This is a tautology, meaning it is always true.
Putting it together,
"З X (X = X)" can be read as
"There exists an X such that X is equal to itself."
Since the identity statement holds for any element, this statement is true for all elements.
Thus,
"З X (X = X)" expresses the fact that every element is equal to itself, which is a basic property of equality in mathematics.
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04.04 match the term with the definition
i need the terms and definitions to answer this-
What is the answer
5+7+9+8=
Answer:
29
Step-by-step explanation:
explain how to determine whether or not 11/12 is the correct answer to the problem 1 1/4 - 1 / 3
Answer:
11/12 is correct
Explanation:
To find the result of 1 1/4 - 1/3, we need to write the first number as a fraction, so:
\(1\frac{1}{4}=\frac{(1\times4)+1}{4}=\frac{4+1}{4}=\frac{5}{4}\)Then, 1 1/4 - 1/3 is equivalent to 5/4 - 1/3, so the correct answer is:
\(\frac{5}{4}-\frac{1}{3}=\frac{5(3)-4(1)}{4(3)}=\frac{15-4}{12}=\frac{11}{12}\)Therefore, 11/12 is the correct answer to the problem
Which value of x in the equation 18x + 5 - 3 = 65 makes the equation true
Answer:
the value of x that makes the equation true is x = 3.5.
Step-by-step explanation:
To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.
Starting with the equation:
18x + 5 - 3 = 65
First, combine like terms:
18x + 2 = 65
Next, isolate the term with x by subtracting 2 from both sides:
18x = 65 - 2
18x = 63
Finally, divide both sides of the equation by 18 to solve for x:
x = 63 / 18
x = 3.5
Therefore, the value of x that makes the equation true is x = 3.5.
The answer is:
x = 7/2 (3.5 in decimal form)Steps & work :
First, I focus only on the left side.
Combine like terms:
\(\sf{18x+5-3=65}\)
\(\sf{18x+2=65}\)
Subtract 2 from each side:
\(\sf{18x=63}\)
Now, divide each side by 18:
\(\sf{x=\dfrac{63}{18}\)
Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:
\(\sf{x=\dfrac{7}{2}}\)
\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)
10.
On her pogo stick, Lula made 24 hops
in 30 seconds. At this rate, how many
hops will she make in 50 seconds?
Evaluate: 13.5+14.5×3.1
Answer:
58.45
Step-by-step explanation:
Use BIDMAS
14.5 X 3.1 = 44.95
44.95 + 13.5 = 58.45
Answer:
58.45
Step-by-step explanation:
Charges for advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is a percentage of the population of 110 million TV households. The CBS television show 60 Minutes recently had a rating of 7.8, indicating that 7.8% of the households were tuned to that show. An advertiser conducts an independent survey of 100 households and finds that at least b+1 were tuned to 60 Minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting at least 5+1 tuned to
60 Minutes.
The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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The gift is 1.5 feet tall and Amberly choose to leave one of its bases uncovered. Explain how many many square inches of paper she would use to wrap the gift, assuming the paper does not overlap
And one of the bases is 9 inches by 0.5 feet
The net area of the paper needed is 4.125 square feet.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.
Therefore the total surface area is,
= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).
= 2(0.75 + 1.125 + 0.375).
= 2(2.25).
= 4.5 square feet.
Now, She left one of the bases uncovered which have an area of 0.375 square feet.
Therefore, the net amount of paper needed is = 4.5 - 0.375.
= 4.125 square feet.
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convert the following statement into equation five time a number decreased by 2 is equal to 4
Answer:
5x-2=4
Step-by-step explanation:
:DD
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
What is the volume of the cone below?
27
OA. 216 units³
B. 432 units3
units3
OC. 144
OD. 108 units³
The volume of the cone is 144π units³.
How to find volume of a cone?The volume of a cone can be calculated as follows:
volume of a cone = 1 / 3 πr²h
where
r = radius of the coneh = height of the cone.Therefore, the height of the cone is 27 units and the radius of the cone is given as 4 units.
Let's find the volume using the formula,
r = 4 units
h = 27 units
Therefore,
volume of a cone = 1 / 3 πr²h
volume of a cone = 1 / 3 × π × 4² × 27
volume of a cone = 1 / 3 × π × 16 × 27
volume of a cone = 432 / 3 π
Therefore,
volume of a cone = 144π
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if a number × is increased by 11,the result is 35.What is the number?
Answer:
24
Step-by-step explanation:
Equation: x + 11 = 35
1. Subtract 11 from both sides
x + 11 = 35
-11 -11
x = 24
Answer:
x is 24
Step-by-step explanation:
Let's write it down as an equation
If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35
x + 11 = 35 implies that
x = 35 - 11
35 - 11 = 24
x = 24
1. What is 0.078 written in expanded form
a) 7.0.1 +8 -0.01
b) 7.0.1 + 8 . 0.001
c) 7.0.01 +8 -0.01
d) 7.0.01 +8 -0.001
Answer:
7.8 x \(10^{-2}\)
Step-by-step explanation:
this is the real answer
Advertising a business. Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
Show all work
The inequality representing the given situation is -
300x + 700y ≤ 7500
What is advertising?Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.
Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
We can write the inequality as -
300x + 700y ≤ 7500
where -
{x} - number of online ads posted
{y} - number of TV ads poste
Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.
Therefore, the inequality representing the given situation is -
300x + 700y ≤ 7500
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Please help I can’t figure it out
well, let's first off find out how many actually do favor it in the first place.
\(\stackrel{total}{4000}\cdot \cfrac{3}{8}\implies \stackrel{seniors}{\text{\LARGE 1500}}\hspace{12em}\stackrel{total}{4000}-1500=\stackrel{not~seniors}{\text{\LARGE 2500}} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{seniors}{\text{\LARGE 1500}}\cdot \cfrac{1}{6}\implies \stackrel{in~favor}{\text{\LARGE 250}}\hspace{11em} \stackrel{not~seniors}{\text{\LARGE 2500}}\cdot \cfrac{3}{5}\implies \stackrel{in~favor}{\text{\LARGE 1500}} \\\\[-0.35em] ~\dotfill\\\\ 250+1500\implies \stackrel{in~favor}{\text{\LARGE 1750}}\hspace{15em}\boxed{\underset{\textit{do not favor it}}{\stackrel{4000~~ - ~~1750}{\text{\LARGE 2250}}}}\)
100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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Felicia has $6.40 in dimes and quarters. She has 34 coins in all. How many of each type of coin does Felicia have?
Answer:
you would use 20 quarters and 14 dimes
Step-by-step explanation:
25*20=500
10*14=140
5.00+1.40=6.40
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
50 Points! Multiple choice algebra question. Transform both sides of each equation to determine which is a polynomial identity. Photo attached. Thank you!
The only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).
How to express the valueIt should be noted that to determine which equation is a polynomial identity, we need to simplify both sides of each equation and see if they are equal for all values of c and d.
(A) (c+d)³ = c³ + 3c²d + 3cd² + d³
= c³ - d³ + 3cd(c + d)
The left-hand side can be expanded using the binomial formula. The right-hand side is a polynomial of degree 3, so we can see that equation (A) is a polynomial identity.
(B) (c+d) = c + d³ + 3cd(c + d)
= d³ + c³ + 3cd(c + d) + c + d - c³
= d³ + c³ + 3cd(c + d) + c + d
The right-hand side can be simplified, but it is not equal to the left-hand side for all values of c and d. Therefore, equation (B) is not a polynomial identity.
(C) (c+d)³ = c³ + 3c²d + 3cd² + d³
= c³ + d³ + 3cd(c + d) + cd(c - d)
The right-hand side is not equal to the left-hand side for all values of c and d, so equation (C) is not a polynomial identity.
(D) (c+d)³ = c³ + 3c²d + 3cd² + d³
= c³ - d³ + 3cd(c - d) + c³ + d³
= 2c³ + 3cd(c - d)
The right-hand side is not equal to the left-hand side for all values of c and d, so equation (D) is not a polynomial identity.
Therefore, the only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).
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I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?
Answer:
The rate is 5 dollars per student.
Step-by-step explanation:
The rate per student can be found with \(\frac{dollars}{student}\):
\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)
The rate is 5 dollars per student.
f(x)= -2x^3 +14x -8
g(x)= 2x+6
Answer:
F(2x+6)=-16x^3-144x^3-404x-356
Step-by-step explanation:
2 4/10?
round to nearest whole number
Answer: 2
2.5 and up we round up
2.4 and lower we round down
Answer:
2
Step-by-step explanation:
2 4/10
4/10 is less than 0.5 so we round down to 2
5 x 10 - 2 = ??
HALP MOIIIIIIIIIIIIIIIIIIIIII
Answer:
48
Step-by-step explanation:
the answer is 48 I got this answer by multiplying 5 by 10 and subtracting is from 2 which gives me 50 - 2 which is 48
Answer:
48
Step-by-step explanation:
5×10-2=50-2
=48
hope it helps!!
Given f(x) = x³ - 6x + k, and the remainder when f(x) is divided by x - 1 is 14, then what is the value of k?
Answer: 19
Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).
Hope this helps!
The house that David bills for his cat cat is a cube with an edge length of 4 ft to how to use the volume formula V equals x exponent 3 find the volume of the house
The volume of house built by David for cat is 64 ft³.
Firstly representing the mentioned statement about volume as mathematical expression. Exponent is the power of variable or constant. So, volume = x³, where x is the edge length.
As the edge length of house of car is given, we will keep the value in formula to find the volume of house.
V = 4³
Taking cube of the value on Right Hand Side of the equation
V = 4×4×4
Performing multiplication on Right Hand Side of the equation
V = 64 ft³
Thus, the volume of the house of cat is 64 ft³.
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Find the surface area
of the figure below:
19 cm
30 cm.
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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Choose the phrases below that will make the sentence true.
In the figure, the length of any line segment in the image is _________________ the length of the corresponding line segment in the preimage. The scale factor of the dilation is _________.
A
shorter than; 2
B
longer than; 2
C
longer than; 1
D
the same length as; 2
In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2
What is the scale factor of dilation?The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.
Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.
Secondly, by close inspection we can see that it was dilated by a scale factor of 2.
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How old do you think people have to be to vote in the US? Should non-citizens be allowed to vote? Explain i need 6 sentence.
Answer: To vote in the US you must be a US citizen, and you must be 18 and you must meet your state's residency and registration requirements. No, I do not think non-citizens should be allowed to vote. The reason I think non-citizens shouldn't be allowed to vote is because they are not an inhabitant. They also aren't national of a particular country or town. Therefore, they shouldn't be a part of the voting.
Hope that helps :/
there are 21 sedans and 12 sports utility rehicles on the lot of a used car dealership. If he ratio of sedans to SUV's stays the same, now man sedans will be in the lot of 99 vehicles?
Answer: 63 sedans
Step-by-step explanation:
21 * 3