Answer:
3/8 bigger
Step-by-step explanation:
11/8 - 8/8 = 3/8
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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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x3 + 3x2 − 72x
Answer:
x = -6 and x = 4
Step-by-step explanation:
In math, the critical points of a function are the points where the derivative equals zero.
So, first we will find the derivative of the function. The derivative is:
\(f'(x)=3x^2 +6x-72\)
Now, we are going to make the derivative equal zero and find the answers of the equation.
\(3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\\)
So we have that the critical points are the answers to this equation:
\(x+6= 0 \\x= - 6\)
and
\(x-4=0\\x=4\)
Thus, the critical points are x=-6 and x=4
Using it's concept, it is found that the critical numbers of the function are:
x = -6 and x = 4.
The critical numbers of a function f(x) are the values of x for which it's derivative is zero, that is:
\(f^{\prime}(x) = 0\)
In this problem, the function is:
\(f(x) = x^3 + 3x^2 - 72x\)
The derivative is:
\(f^{\prime}(x) = 3x^2 + 6x - 72\)
\(f^{\prime}(x) = 3(x^2 + 2x - 24)\)
Then:
\(f^{\prime}(x) = 0\)
\(3(x^2 + 2x - 24) = 0\)
\(x^2 + 2x - 24 = 0\)
Which is a quadratic equation with coefficients \(a = 1, b = 2, c = -24\), which we have to solve.
\(\Delta = 2^2 - 4(1)(-24) = 100\)
\(x_{1} = \frac{-2 + \sqrt{100}}{2} = 4\)
\(x_{2} = \frac{-2 - \sqrt{100}}{2} = -6\)
The critical numbers of the function are x = 4 and x = -6.
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The sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x) and the type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.
To find f(x) + g(x), we need to add the two functions together:
f(x) + g(x) = (x+2)/(x²-9) + 11/(x²+3x)
To add these fractions, we need a common denominator.
The common denominator in this case is (x² - 9)(x² + 3x), which is the product of the denominators.
Rewriting the fractions with the common denominator, we have:
f(x) + g(x) = [(x+2)(x² + 3x)]/[(x²-9)(x² + 3x)] + [11(x²-9)]/[(x²-9)(x² + 3x)]
Combining the fractions, we have:
f(x) + g(x) = [(x+2)(x² + 3x) + 11(x²-9)]/[(x²-9)(x² + 3x)]
Simplifying the numerator:
[(x+2)(x² + 3x) + 11(x²-9)] = (x³ + 5x² + 6x + 11x² - 99)
= (x³ + 16x² + 6x - 99)
Therefore, the sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x).
The excluded values for the function f(x) are x = ±3, and for the function g(x), the excluded value is x = 0.
The type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.
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A politician takes an
of 757575 citizens in a county to see what proportion of citizens sampled are satisfied with their standard of living. Suppose that 80\%80%80, percent of the 118{,}000118,000118, comma, 000 citizens in the county are satisfied with their standard of living.
What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are satisfied with their standard of living?
Choose 1 answer:
The mean of the sampling distribution is 606060 and the standard deviation is 871.78.
The central limit theorem is what?As long as the sample size is sufficient (usually, n 30), the central limit theorem implies that if we repeatedly take random samples from a population, the sampling distribution of the sample means will resemble a normal distribution, regardless of the form of the population distribution. This indicates that given the sample mean and standard deviation, we may utilise the normal distribution to draw conclusions about the population mean. Because it enables us to estimate population parameters even when we don't know the population distribution, the central limit theorem is significant.
Given that,
n = 757575
p = 80% = 0.8
q = 1 - 0.8 = 0.2
The mean of the binomial distribution is given as:
Mean: μ = np = (757575)(0.8) = 606060
The standard deviation of the binomial distribution is given as:
σ = √(npq) = √((757575)(0.8)(0.2)) = 871.78
Hence, the mean of the sampling distribution is 606060 and the standard deviation is 871.78.
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What is the value of ?
T
80°
25°
R
?
P
PLEASE
9514 1404 393
Answer:
105°
Step-by-step explanation:
The exterior angle marked "?" is equal to the sum of the remote interior angles:
? = 25° +80°
? = 105°
Mari Seni works exactly 40 hours in a 5-day work week. She worked 6 1/2 hours on Monday, 8 3/4 hours on Tuesday, 6 5/6 hours on Wednesday, and 10 1/4 hours on Thursday. How many hours must Mari work on Friday.
Answer:
gdk
Step-by-step explanation:
A fish tank has 10 goldfish, 7 tetras, 4 snails, and 2 platies. What is the ratio of tetras to platies?
Answer: 7:2
Step-by-step explanation: if the fish bowl has 7 tetras and 2 platies, then the ratio would be simply 7:2.
A right triangle has a hypotenuse of 15 centimeters.
What are possible lengths for the two legs of the
triangle?
Answer:
Step-by-step explanation:
Since the given figure is a right triangle, we can use Pythagorean Theorem
where c² = a² + b²
c = 15
15² = a² + b²
Since 15 is the hypotenuse, we can then say that the possible legs of the triangle are less than 15.
225 - a² = b²
we will do trial and error
let a be 14
225 - 14² = b²
b = √29
a = 14cm, b = √29cm, c = 15cm
let a be 13
225 - 13² = b²
b = 2√14
a = 13cm, b = 2√14cm, c = 15cm
let a be 12
225 - 12² = b²
b = 9
a = 12cm, b = 9cm, c = 15cm
You can solve for other possible values using the same process as above. Since there are no conditions whether the lengths of the legs should be a whole number or not then the above dimensions can be considered. If you're looking for an answer that consists of whole numbers then the answer would be a = 12cm, b = 9cm and c = 15cm
Can someone tell me what is 2+8
if you have 8 cookies and someone else gives you 2 more how many do you have? 10
What is 53 percent of 49?
2.597
25.97
259.7
2,597
Answer:
25.97
Step-by-step explanation:
find 50% (24.5)
find 1% (0.49)
0.49 x 3 (1.47)
add 24.5 and 1.47
Answer:
b
Step-by-step explanation:
The formula d = 52t+65t can be used to find the distance, d, between two
cars after traveling t hours in opposite directions. After how many hours will
the distance between the two cars be 234 miles?
Answer: t=2
Step-by-step explanation:
add the t's and calculate
Please someone help me!!
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
Given,
Two triangles
Triangle ABC and Triangle DEF ; These are similar triangles
That is,
AB = DE, BC = EF, AC = DF
Here,
AB = 3
BC = 4
1. EF = 12
AB/BC = DE/EF
3/4 = x/12
x = (12 x 3) / 4
x = 3 x 3 = 9
Length of side DE = 9
DF = \(\sqrt{9^{2} +12^{2} }\) = \(\sqrt{81 + 144}\) = √225 = 15
Now,
2. DF = 7.5
AB/BC = DE/DF
3/4 = x/7.5
x = (7.5 x 3) / 4
x = 5.625
Length of side DE = 5.625
EF = \(\sqrt{7.5^{2}-5.625^{2} }\) = \(\sqrt{56.25-31.64}\) = √24.61 = 4.96
Next,
3. DE = 7.5
AB/BC = DE/DF
3/4 = 7.5/x
x = (7.5 × 4) / 3 = 30/3
x = 10
Length of side DF = 10
EF = \(\sqrt{10^{2}-7.5^{2} }\) = \(\sqrt{100-56.25}\) = √43.75 = 6.61
That is,
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
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Assume the random variable X is normally distributed with mean = 50 and standard deviation = 7. Compute the probability, P(X > 35). Be sure to draw a normal curve with the area corresponding to the probability shaded.
Answer:
P [ X > 35 ] = 0,983 or P [ X > 35 ] = 98,3 %
Step-by-step explanation: See Annex valid region for 98,3 in red lines
P [ X > 35 ] = 1 - P [ X ≤ 35 ]
P[ X ≤ z ] = ( X - μ₀ ) / σ
P [ X ≤ 35 ] = ( 35 - 50 ) / 7
P [ X ≤ 35 ] = - 15 / 7
P [ X ≤ 35 ] = - 2,1428
We find for z(score) = - 2,14 in z-table the value of 0,01618
P [ X ≤ 35 ] = 0,01618 or P [ X ≤ 35 ] ≈ 1,62 %
And
P [ X > 35 ] = 1 - 0,01618
P [ X > 35 ] = 0,983 or P [ X > 35 ] = 98,3 %
Guys I need help plz! ( it would mean a lot if u help )
Answer:
━☆゚.*・。゚X>6
Step-by-step explanation:
Here,X is greater than 6
Answer:
x > 6
Hope this helped <3
helpppp...........................
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
An oil slick of area 20m^2 tripples in size everyday. Find the time taken for it to exceed 1 hactare in size by firstly representing this information with an appropriate equation.
Answer:
The oil slick area A exhibits exponential growth. Assume time t is measured in days.
dAdt=kA,A0=20,A1=20×3=60
Solve this separable differential equation.
dAdt=kA
∫dAA=∫kdt⟺ln(A)=kt+C
A(t)=A0ekt
Determine the constant k using the initial and first day oil slick area values A0,A1.
A1=A0ek×1 on day one
k=ln(A1A0)=ln(6020)=ln(3)
Substitute the known constant k and A0 into the equation.
A(t)=20eln(3)t
Verify the model A(t) matches the desired oil slick expansion. Does it triple every day?
A(0)=20e0=20
A(1)=20eln(3)1=60=3×20
A(2)=20eln(3)2=180=3×60
A(3)=20eln(3)3=540=3×180
It checks out!
On what day has the oil slick reached 1 hectare? The area is measured in square meters.
1 hectare = 10,000 square meters
10000≤20eln(3)t Solve for t days.
t≥1ln(3)ln(1000020)
t≥5.657 days
Answer
The oil slick reached 1 hectare after about 5+1/2 days.
Step-by-step explanation:
1. Which of the following statements best describes the patterns and trends of the Periodic Table?
a. The atomic number and atomic mass decrease from left to right across a period; energy levels
decrease from top to bottom down a group
b. The atomic number and atomic mass increase from left to right across a period; energy levels
decrease from top to bottom down a group.
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
d. The atomic number and atomic mass decrease from left to right across a period; energy levels
increase from top to bottom down a group.
Answer:
Its C
Explanation
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
Find the missing length of the triangle.
Answer:
89
Step-by-step explanation:
Hypotenuse = sqrt[ (Leg a)2 + (Leg b)2 ]
Hypotenuse = sqrt[ (39)2 + (80)2 ]
Hypotenuse = sqrt[ 1521 + 6400 ]
Hypotenuse = sqrt[ 7921 ]
Hypotenuse = 89
Answer:
45 is your answer c=45 13
Please help and I will give most points available
Answer:
The picture isn't clear enough for me to read it cld u take another pic
What is a perfect square 6^1
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
What is the image of (-8, 2) after a reflection over the y-axis?
Answer:
(8, 2)
Step-by-step explanation:
When taking a point and reflecting it over the y-axis, the x coordinate turns into its opposite.
(-8, 2) ⇒ (8, 2)
how would i do this ?????????????????
Answer:
f(x) = 2x + 7
f(8) = 2(8) + 7 = 16 + 7 = 23
Type your answer in the box.
y = 10 b = 6
Answer:
The answer is -60 (I believe)
Step-by-step explanation:
3(-10)-5(6)
-30-30 = -30+-30
-30+-30= -60
The answer is -60
Step-by-step explanation:
If y = 10 and b = 6 Then
3(-y) - 5b
= 3 *( - 10 ) - 5 * 6
= - 30 - 30
= - 60
Hope it will help :)❤
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Solve:
-3(1 + 4x) = 33
x =
Solve:
-4(-6y – 3) = 12
y =
Solve:
-(x – 8) = -2
x =
Solve:
−3(4r − 8) = −36
r =
Solve:
6(−x − 3) = 24
x =
Solve:
3(x − 2) = 18
x =
Solve:
2(4x + 4) = 24
x =
Please help
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
Answer:
1: -3
2: 24
3: 10
4: 5
5: -7
6: 8
7: 2
Step-by-step explanation:
hope this helps:)
Fraction Multiplication and División:Question 4
Tina has $72 to spend on new t-shirts. If each t-shirt costs $12,
how many different t-shirts can Tina buy? Set up a fraction to
determine how many t-shirts Tina can buy. Then solve.
Answer: 6 T-shirts
Step-by-step explanation:72/12=6
ANSWER ASAP I WILL GIVE BRAINLIST
Answer:
its upside down
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
-2/x²-1
Step-by-step explanation:
p(x)-q(x)
(1/x+1) - (1/x-1)
(x-1)/((x+1)(x-1)) - (x+1)/((x+1)(x-1))
x-1-x-1 / x²-1
-2/x²-1
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
What is the Prime Factorization of 16?
O2 x 2 x 2 x. 3
4 x 3 x 2
O2 + 2 X 4
O2 x 2 x 2 x 2
Answer:
2x2x2x2.
Step-by-step explanation:
.
Answer:
2×2×2×2
Step-by-step explanation:
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a 1 Mrs. Erskine spent $40.50 for a pair of shoes, $56.95 for jeans, and $25.75 for a shirt. Which of the following shows two equivalent expressions, using the associative property of addition, that can be used to find the amount Mrs. Erskine spent? A (40.50 + 56.95) + 25.75; 25.75 + (40.50 + 56.95) B 40.50 +(56.95 + 25.75); (40.50+ 56.95) + 25.75 C 40.50 + (56.95 + 25.75); (40.50. 56.95) + (40.50 .25.75) D (40.50 +56.95) + 25.75; (40.50 + 56.95 +25.75) • 1 o
Answer:
A
Step-by-step explanation:
Commutative Property(a + b) + c = c + (a + b)(40.50 + 56.95) + 25.75 ; 25.75 + (40.50 + 56.95) correctly represent the situation using the commutative property.