Answer:
5, 5, 3, 12, 5
Step-by-step explanation:
This is because the criteria for the numbers are;
*** It must sum up to 30 to get a mean of 6
*** 5 must occur more than once
*** The difference between the largest and smallest number is 9
last digit of 2 to the power of 47
Answer:
2^1 = 2 -> last digit is 2
2^2 = 4 -> last digit is 4
2^3 = 8 -> last digit is 8
2^4 = 16 -> last digit is 6
2^5 = 32 -> last digit is 2
2^6 = 64 -> last digit is 4
2^7 = 128 -> last digit is 8
We can observe that the last digit follows a pattern of 2,4,8,6,2,4,8 and repeat.
Therefore, 2 to the power of 47 will have the same last digit as 2 to the power of (47 modulo 4) + 3
(47 mod 4) + 3 = 51 mod 4 = 3
The last digit of 2 to the power of 3 is 8
Therefore, the last digit of 2 to the power of 47 is 8.
-1/5x-2>4
solve pls show work!
Step-by-step explanation:
-1/5x - 2 > 4
-1/5x - 2 + 2> 4 +2
first you subtract 2. The two cancels out into 0 making the equation this
↓
-1/5x x -1/5> 6 x -1/5
you multiply both sides by the -1/5 and if you divide or multiply a number over the inequality you must change the sign to the opposite one.
ANSWER:
x< -30
Answer:
x < -30
Step-by-step explanation:
-1 / 5 * x – 2 > 4
-1 / 5 * x > 6
We divide both parts of the inequality by (-1 / 5). It must be remembered that when dividing or multiplying both sides of the inequality by a negative number, the sign changes to the opposite:
x < 6 / (-1 / 5)
x < 6 * 5 / -1
x < -30
Сheck:
for -29 (> then -30):
-1 / 5 * -29 – 2 > 4
3.8 > 4? - No
for -31 (< then -30):
-1 / 5 * -31 – 2 > 4
4.2 > 4? – Yes
The solution is right!
Please hurry
The number of hours of sick leave, s, an
employee of a company earns varies
directly with the number of weeks, t,
he or she works. An employee of the
company who works 4 weeks earns
9 hours of sick leave. Which equation
represents the relation between s and t?
A S= 9t
B S = 4t - 9
C S = 4t + 9
D t = 8-4
E t = 9s - 4
The equation represents the relation between s and t is s = 9t
What is Direct Variation?This question is an example of Direct Variation, which is a type of proportional relationship between two variables. In direct variation when one variable increases, so does the other, and when one variable decreases, so does the other.
This relationship can be expressed mathematically by the equation
y = k x
where k is the constant of variation. In the given problems is the dependent variable, and t is the independent variable.
Since we know that when t = 4, s = 9, we can substitute these values into the equation and solve for k.
9 = k(4)
k = 9/4
Therefore, the equation for this direct variation is s = (9/4)t.
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Suppose 3 < a < 7 and 5 < b < 9 Find all possible values of each expression
1.a+b
2.a-b
3.ab
4.a/b
The possible values for each expression are given as follows:
1. 8 ≤ a+b ≤ 16
2. -6 ≤ a - b ≤ 2
3. 15 ≤ ab ≤ 63
4. 1/3 ≤ a/b ≤ 7/5.
How to obtain the possible values of each expression?For the sum we have that:
The smallest value is assumed when a and b have the smallest values, hence a + b = 8.The largest value is assumed when a and b have the largest values, hence a + b = 16.For the subtraction, we have that:
The smallest value is assumed with highest b and lower a, hence: 3 - 9 = -6.The highest value is obtained with highest a and lowest b, hence: 7 - 5 = 2.For the multiplication we have that:
The smallest value is assumed when a and b have the smallest values, hence 3 x 5 = 15The largest value is assumed when a and b have the largest values, hence 7 x 9 = 63.For the division, we have that:
Lowest: a/b = 3/9 = 1/3.Higher: a/b = 7/5.More can be learned about expressions at https://brainly.com/question/723406
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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC, for example. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC. (a) Starting with the 75% estimate for Italians, how large a sample must you collect in order to estimate the proportion of PTC tasters within ????0.04 with 90% confidence? (b) Estimate the sample size required if you made no assumptions about the value of the proportion who could taste PTC. How much has the required sample size changed?
The sample size for part(A)=318 and part(B) is 423 and the difference of samples is 105.
PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC, for example. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC.
Part(A)
it is given in the question that.
margin of error E=0.04
guessed value p=75%=0.75
confidence interval =90%=0.90
now to find the sample size,
[tex]n=\frac{{[z_{a/2}}]^2p(1-p) }{E^{2}}[/tex]
[tex]n=\frac{1.645^2(0.75)(.25)}{0.04^2} \\\\n=318[/tex]
therefore, the sample size is 318.
Part(B)
find the new sample size by the above formula.
p=0.5
so, n'=423.
thus, the new sample size is 423.
for the difference between the two sample sizes.
N=105.
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prove that if p is a prime and g is a group of order p a for some a e z , then every subgroup of index p is normal in g. deduce that every group of order p 2 has a normal subgroup of order p.
A subgroup of index p must contain all elements of g, hence it is normal. Therefore, every group of order p2 has a normal subgroup of order p.
Let p be a prime and g be a group of order p a for some a ∈ Z.
First, we prove that every subgroup of index p is normal in g.
Since the order of g is p a , and the index of a subgroup of g is p, the subgroup must contain all elements of g. Thus, the subgroup is normal in g.
We can now deduce that every group of order p2 has a normal subgroup of order p.
Since the order of a group of order p2 is p2, we can divide it into two subgroups: one of order p, and one of order p. Since the subgroup of order p has an index of p, it must be normal in the group of order p2. Therefore, every group of order p2 has a normal subgroup of order p. Every group of order p2 has a normal subgroup of order p due to the fact that a subgroup of index p must contain all elements of g.
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problems 13-16, write < or > to complete each statement
Therefore , the solution of the given problem of expression comes out to be √15 -4 < √15 -7 and so on.
Expression : what is it?Multiplying, dividing, adding, and subtracting are necessary math operations. When combined, the following expression would appear: A mathematical operator, some data, and an equation Values, variables, and functions make up a statement of fact's constituent parts, such as additions, deductions, multiplications, divisions, etc. It is possible to contrast and compare words and phrases.
Here,
Given :
to find which is greatest expression among them
=> √15 -4 < √15 -7
=> 2√18 < 2√21
=>-³√30 > -3
=>√8 + 1 < √17 -2
Therefore , the solution of the given problem of expression comes out to be √15 -4 < √15 -7 and so on.
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Find the quotient
Thank u!
The result of the quotient expression as required to be determined in the task content is; 2^(8x + 3).
What is the result of the quotient expression?It follows from the laws of indices that 8 = 2³.
On this note, the given expression; 8^(3x + 1) ÷ 2^x can be solved as follows;
2^( 3 (3x + 1) ) ÷ 2^x
= 2^( 9x + 3 ) ÷ 2^x
= 2^(9x + 3 - x)
= 2^(8x + 3)
Ultimately, the result of the quotient is; 2^(8x + 3).
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A moving truck can carry no more than 1,480 pounds of cargo. Brian loaded x640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he put into the truck?
The number of boxes that he can put into the truck will be 12.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
From the information, the moving truck can carry no more than 1,480 pounds of cargo. Brian loaded x640 pounds into the truck already. He is loading boxes that weigh 70 pounds.
Let the number of boxes that he can put into the truck will be represented as x.
640 + 70x = 1480
Collect the like terms
70x = 1480 - 640
70x = 840
Divide
x = 12
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It takes 29 pounds of seed to completely plant a 5-acre field. How many acres can be planted per pound of seed?
0.17 acres can be planted per pound of seed.
What is Ratio ?
In mathematics, the term "ratio" is used to compare two or more numbers. It is used to show how big or little an amount is in relation to another. Two quantities are compared using division for calculating a ratio.
Given, It takes 29 pounds of seed to completely plant a 5-acre field.
So, Acres per pound of seed = 5 Acres ÷ 29 pounds of seed
= 0.17 acres (approx).
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According to the given statement, 0.17 acres can be planted per pound of seed.
What is Ratio?In mathematics, the term "ratio" is used to compare two or more numbers. It is used to show how big or little an amount is in relation to another. Two quantities are compared using division for calculating a ratio.Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were going to compare one piece of data (A) to some other data point (B).
Given, It takes 29 pounds of seed to completely plant a 5-acre field.
So, Acres per pound of seed = 5 Acres ÷ 29 pounds of seed
= 0.17 acres (approx).
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An angle measures 69.2° less than the measure of its complementary angle. What is the measure of each angle?
Based on the definition of complementary angles, he measure of each of the angles are: 10.4 degrees and 79.6 degrees.
What are Complementary Angles?Complementary angles are defined as any two angles whose sum will be equal to 90 degrees when added together.
Therefore, let x be the measure of the angle.
According to the problem statement, the angle measures 69.2° less than the measure of its complementary angle.
So we have x + (x + 69.2) = 90
By simplifying the equation:
2x + 69.2 = 90
2x = 90 - 69.2
2x = 20.8
x = 20.8/2 = 10.4
So the angle measures 10.4 and the complement of angle is (10.4 + 69.2) = 79.6.
Thus, the measure of each of the angles are: 10.4 degrees and 79.6 degrees.
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Work out 5 × 1 7 Give your answer as a fraction.
Answer:
The answer is 85/1. To calculate 5 × 17, first multiply 5 × 10 = 50, then add 5 to the result to get 50 + 5 = 55. Finally, divide the result by 1 to get 55/1 = 85/1.
give me brainiest
Answer:
The fraction is 5/7
Step-by-step explanation:
5 * 1/7
Multiplying a whole number times a fraction
Multiply the whole number times the numerator.
5 * 1 = 5
Divide by the denominator
5/7
The fraction is 5/7
large circle contains six small circles, each of which is tangent to two other small circles and the large circle, as shown. if each small circle has a radius of 4 cm, what is the area of the large circle? express your answer as a decimal to the nearest tenth.
The area of a large circle contains six small circles (radius = 4cm ) each of which is tangent to the two other small circles and the large circle is [tex]452.2[/tex] [tex]cm^{2}[/tex].
Given,
A large circle contains six circles having tangents with a large circle and two small circles as shown in the attached figure.
The radius of a small circle = 4cm
we know that,
The radius of a large circle [tex]= \frac{8+8+8}{2}[/tex]
[tex]= \frac{24}{2}[/tex]
[tex]= 12 cm[/tex]
Area of Large circle [tex]= \pi R^{2}[/tex]
[tex]= 3.14* 12^{2}[/tex]
[tex]= 3.14 * 144[/tex]
[tex]= 452.2[/tex]
Therefore, the Area of the large circle is approx [tex]452.2[/tex] [tex]cm^{2}[/tex] .
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I was assigned a biography of Martin Luther Kind, Jr. On Monday, my teacher told me to divide the book into equal sections and finish it this week. If the book has 15 chapters and each chapter is about 7 1/2 pages long, how much reading do I need to complete each day to finish the book on Friday?
(PLEASE SHOW FULL WORK AND SHOW HOW YOU GOT THE ANSWER)
(THANKS FOR YOUR TIME)
Number of pages needed to read per day = 22.5 pages.
What is multiplication ?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Given,
No. of chapters in book = 15
No. of pages per chapter = 7 1/2 = 15/2 pages
Total pages in book = 15 × 15/2 = 225/2 pages
There are 5 days in Monday to Friday,
So, No. of pages read per day = 225/2×5 = 22.5
No. of chapters in included in 22.5 pages = 22.5/7.5 = 3
Hence, 22.5 pages or 3 chapters will be needed to read everyday.
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1)
Σ i² =
De i=1 a i=8
For n = 8, the sum of squares from 1 to 8 would be:
Σ i² = 8(8 + 1)(2(8) + 1) / 6 = 204.
What is the significance of summation?The act of adding anything up is called summarizing. To produce an action potential in the nervous system, numerous stimuli that are each individually subthreshold must be combined to reach a suprathreshold level (a response). Usually, a sum of numerous terms is indicated by the symbol "sigma." To include all terms that must be taken into account when computing the sum, this symbol is typically followed by an index that varies.
The summation notation "Σ" is used to represent the sum of a sequence of numbers. The expression "Σ i²" means the sum of the squares of the numbers from i=1 to i=8.
The formula to find the sum of the squares from 1 to n is given by:
Σ i² = n(n + 1)(2n + 1) / 6
So, for n = 8, the sum of squares from 1 to 8 would be:
Σ i² = 8(8 + 1)(2(8) + 1) / 6 = 204.
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A clothing manufacturer has some pure silk thread and some thread that is 85% silk. How many kilograms of each must be woven together to make 75 kg of cloth that is 94% silk?
The number of kilograms of each must be woven together to make 75 kg of cloth which is 94% silk is:
30 kg of pure silk thread and 45 kg of some thread.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
The amount of pure silk thread= x
The amount of some thread = y
The amount of silk pure silk thread= 100%
The amount of silk in some thread = 85%
Now,
Two equations are:
x + y = 75 _____(1)
x = 75 - y _____(2)
x + 0.85y = 0.94 x 75 _____(3)
Substituing (2) in (3)
75 - y + 0.85y = 70.5
75 - 70.5 = y - 0.85y
4.5 = 0.15y
y = 30
Now,
x = 75 - 30
x = 45
Thus,
30 kg of pure silk thread and 45 kg of some thread.
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t+7.87>9.87 solve for t
[tex]t+7.87 > 9.87[/tex]
Subtract 7.87 from both sides:
[tex]t+7.87-7.87 > 9.87-7.87[/tex]
Answer:
[tex]t > 2[/tex]
Answer:
[tex] \sf \: t > 2[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of t.
The inequation is,
→ t + 7.87 > 9.87
Then the value of t will be,
→ t + 7.87 > 9.87
→ t > 9.87 - 7.87
→ [ t > 2 ]
Hence, the value of t is 2.
Find the volume of the solid whose base is bounded by the circle
x2 + y2 = 4
the cross sections perpendicular to the x-axis are squares.
The volume of the solid is 32/3.
The volume of the solid whose base is bounded by the circle x2 + y2 = 4 and the cross sections perpendicular to the x-axis are squares can be calculated using the formula for the volume of a solid of revolution. This formula states that the volume is equal to the integral of the area of the cross sections from the lower limit to the upper limit.
Since the cross sections are squares, the area of each cross section is given by the equation A = x2. The lower limit is given by the equation x2 + y2 = 4, which is x=-2, and the upper limit is x=2. Thus, the volume is given by the integral ∫(-2)2x2dx = 8∫x2dx = 8(x3/3)|(-2)2 = 8(2^3/3 - (-2)^3/3) = 8(8/3 - -8/3) = 32/3. Therefore, the volume of the solid is 32/3.
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the display shows musicians' ages in a community orchestra. which of the following describes this data set?
Since the data has only numerical values and deals with only one attribute, that is age, we can say that the given data is numerical as well as univariate.
In statistics, univariate data is the kind of data which consists of observation which only deals with one kind of trait or characteristic. In the given data, age is the only characteristic which the observations represent and hence we can say that the given set of data is univariate.
Numerical data in statistics is the data in which the observations are just in number forms and are not in a descriptive form or in a language. The set of data given to us has only numerical values so we can say that the data is numerical.
--The given question is incomplete, the complete question is
The display shows musicians' ages in a community orchestra.
1 79
2 0446
3 23557
4 2489
5 12
6 5
Key 17 = 17
Which of the following describes this data set?"--
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Lisa accidentally spilled a quart of water into her swimming pool. The pool is rectangula: and measures 12 ft by 20 ft. By how much did the water level in the pool increase?
(nearest hundred thousandth)
Answer:
The answer is 0.165 inches.
Step-by-step explanation:
The volume of a rectangular pool can be calculated as the product of its length, width, and depth. To find out how much the water level increased, we'll calculate the volume of one quart of water and compare it to the volume of the pool.
One quart is equivalent to 0.946 liters, and 1 liter of water has a volume of 1000 cubic centimeters. Therefore, one quart of water has a volume of 0.946 liters x 1000 cubic centimeters/liter = 946 cubic centimeters.
Since 1 cubic foot is equivalent to approximately 28,317 cubic centimeters, the volume of one quart of water in cubic feet is:
946 cubic centimeters / 28,317 cubic centimeters/cubic foot = 0.033 cubic feet.
The volume of the pool can be calculated as:
12 ft x 20 ft x depth (in feet) = 240 cubic feet
So, if the pool is 12 ft x 20 ft, the water level increased by:
0.033 cubic feet / 240 cubic feet = 0.0001375 feet = 0.165 inches.
Therefore, the water level in the pool increased by approximately 0.165 inches.
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Have a nice day.
URGENT!!!
Consider the graph of the polynomial function y=f(x) given below. The graph continues forever at both ends. Determine the following features (make sure you write all intervals in interval notation and all intercepts as points):
(A) State the domain and range.
(B) State the x-intercepts.
(C) State the y-intercept.
(D) State the interval(s) for which the function is increasing.
(E) State the interval(s) for which the function is decreasing.
(F) State the interval(s) for which the function is constant.
(G) State any symmetry about any axis and/or the origin.
(H) Determine whether the function is even, odd, or neither.
Answer:
(A)
Domain: [tex]\mathbf {(-\infty, \infty)}[/tex]
Range : [tex]\mathbf {(-\infty, \infty)}[/tex]
(B)
[tex](-2\sqrt{2} , 0) \;and\; (2\sqrt{2} , 0)[/tex]
(C)
(- ∞, -2] and [ 0, 2 ]
(D)
(- ∞, -2] and [ 0, 2 ]
(E)
[-2, 0 ] and [2, ∞ )
(F)
There is no interval where the function is constant
(G)
The graph is symmetric about the y-axis
(H)
This is an even function
Step-by-step explanation:
Warning!!
Pay careful attention to the use of two different brackets when using interval notation. A square bracket means the value next to it is included in that interval, a regular bracket indicates it is excluded
For example: [2, 4) means 2 is included but not 4
Pay careful attention to which bracket is being used where in my explanation and answers. You could lose points if you use the wrong brackets
(A)
Domain is the set of all x values that yield a real and defined value for y
Since the graph continues forever, the range of x values is -∞ to +∞
This is written as - ∞ < x < ∞ or, in interval notation as [tex]\mathbf {(-\infty, \infty)}[/tex]
Range is the set of y values for the given domain. Since the graph goes on forever, the range of y is - ∞ < y < ∞. Interval notation: [tex]\mathbf {(-\infty, \infty)}[/tex]
(B)
The x-intercepts are where the function graph crosses the x-axis. Mathematically, it is the value of x at y =
There are two x-intercepts:
[tex](-2\sqrt{2} , 0) \;and\; (2\sqrt{2} , 0)[/tex]
(C)
y-intercept is where the graph intersects the y-axis. Here the graph touches the y-axis at (0, 0).So y-intercept = (0,0)
(D)
The function is increasing in the intervals (- ∞, -2] and [ 0, 2 ]
(E)
The function decreases in the following intervals for values of x
[-2, 0 ] and [2, ∞ )
(F)
There is no interval where the function is constant
(G)
The graph is symmetric about the y-axis as you see visually. Mathematically, a graph is symmetric about the y axis if f(-x) = f(x)
Here we see that f(2) = 16 and f(-2) = 16 so there is y-axis symmetry
There is no symmetry about the x axis
To see if there is symmetry about the origin, replace any(x, y) with (-x, -y) and see if it is valid. (2, 16) replaced with (-2, -16) is not a point on the graph hence no symmetry about origin
(H)
This is an even function since it is symmetric about the y-axis
Which triangles could not be similar to triangle ABC?
4cm, 3cm, 5cm
If the ratio of their corresponding sides are identical, then the triangles are similar to each other. Triangle ABC, GHI and JKL have similar ratio of their corresponding sides. Thus, Triangle ABC,JKL and GHI are similar to each other.
It is not necesary that sides are equal in similar triangles but it is mandatory to have all the angles are identical in similar triangles.
If the length of corresponding sides of the triangle are in the same proportion then the triangles are similar to each other.
Therefore,
Sides of the triangle ABC and triangle GHI are in proportion, hence both the triangles are similar to each other.
Sides of the triangle ABC and triangle JKL are in proportion, hence both are similar to each other.
Similarly, triangle JKL and GHI both are similar to each other.
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Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate of alpha =10 hour. Suppose that with probability .5 an arriving vehicle will have no equipment violations. a., What is the probability that exactly ten arrive during the hour and all ten have no violations? b. What is the probability that ten "no-violation" cars arrive during the next hour?
In both cases, the probability would be 0.0045%.
What is Poisson's distribution?
The Poisson distribution is used to model the number of times an event occurs within a given time interval with a known average rate of occurrence. The probability of exactly k occurrences in a Poisson process is given by the equation:
P(k; λ) = (λ^k * e^-λ) / k!
Where λ is the average rate of occurrences and k is the number of occurrences.
a. In this case, the average rate of arrivals is alpha = 10 per hour, and the probability of no equipment violations is 0.5. The probability that exactly ten vehicles arrive during the hour and all ten have no violations is:
P(10; 10) * (0.5)^10 = 0.000045 or 0.0045%
b. The probability that ten "no-violation" cars arrive during the next hour is:
(10 * 0.5)^10 * e^(-10*0.5) / 10! = 0.000045 or 0.0045%
This probability is the same as in a. because it's the probability of exactly ten "no-violation" cars arriving during the next hour given that the number of cars arriving follows a Poisson distribution with an average rate of arrival of 10 per hour.
Hence, in both cases, the probability would be 0.0045%.
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Suppose f(x) is continuous and defined for all real numbers. You are given that f(x) has critical points at x = -1 and x = 0. If f'(x) is positive in the interval x < -1, negative in the interval -1 < x < 0, and positive in the interval x > 0, is the point where x = -1 the location of a relative maximum, minimum, or neither? Maximum Minimum Neither
The point where x = -1 is the location of a relative maximum.
What is the critical point?
The concept of "critical point" is used in a lot of different ways, particularly, the most common way in which it is used is to describe the points where the slope of the tangent line is zero in continuous functions.
A critical point is a point where the first derivative of a function is equal to zero or is undefined.
A relative maximum occurs when the first derivative is zero and the second derivative is negative, while a relative minimum occurs when the first derivative is zero and the second derivative is positive.
The given information tells us that f'(x) is positive in the interval x < -1, negative in the interval -1 < x < 0, and positive in the interval x > 0.
This means that f'(x) is increasing in the interval x < -1, decreasing in the interval -1 < x < 0, and increasing in the interval x > 0. Therefore, at the critical point x = -1, f'(x) is zero and f''(x) is negative.
This means that the function changes from an increasing function to a decreasing function, indicating that the point where x = -1 is the location of a relative maximum.
Hence, the point where x = -1 is the location of a relative maximum.
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FIND THE VALUES OF X AND Y
Answer:Taking into account that X + Y = X + X + B = A, one can obtain the following formulas for finding X and Y:
X = (A – B) / 2.
Y = X + B = (A + B) / 2.
Step-by-step explanation:
Compute the expression shown below.
(3.0 x 10²) ³
Submit your answer in scientific notation.
Answer: 2.7*10^7
Step-by-step explanation:
due to the rules of exponents you would multiply 10^2 times the 3 making it 10^6. 3^3 is 27 but scientific notation numbers cannot be more than ten. so you add a decimal in-between making 2.7 for and you would add the one 10 to the original exponents making it 10^7.
What are the solutions to 4lx+8l=4
The two solutions that satisfy the equation 4lx+8l=4 are -9 and -7.
What is the solution of an equation?A solution is the assignment of values to the unknown variables that results in the equation's equality being true. In other words, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknowns, solves the equation.To solve an equation, use the properties of real numbers as those that apply to variables to manipulate the equation.Given the equation,
4lx+8l=4
|x+8| = 4/4
|x+8| = 1
x + 8 = ± 1
When x = + 1
Then,
x = 1 - 8
x = -7
When x = - 1
x = -1 - 8
x = -9
Therefore the two solution of equation is -9 and -7.
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drag each label to the correct location on the chart. given: prove: a coordinate system labeled 2, 1, 4, and 3, anticlockwise. complete the flow chart to prove .
1) The Roman military was directed by consuls
2) Senate, a body where plebians chose the leaders.
3) a patrician-only ruling body known as the Assemblies.
What is Roman Republic?The highest ranked magistrate in the Roman Republic was known as a consul (consul in Latin). Two consuls, who were responsible for overseeing the state and, in particular, the army in the field, were chosen annually from among citizens over the age of forty-two for the office, which was annual and collegiate. The consuls, however, held relatively little power and influence during the foundation of the Empire because the emperor assumed the role of supreme leader, serving solely as a symbol of Republican Rome's past.
The Senate, also known as Senatus, de senex, elder, was one of the components of Ancient Rome's government. It was made up of 300 members drawn from the ancient magistrates during the most of the Republic, yet following Sila's dictatorship and during the imperial era, that number rose to 900. It was responsible for approving the laws chosen by the electorate, giving magistrates advice, and managing foreign policy, finances, and religion.
The complete question is :
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Before leaving the grocery store, Kenny wrote the y-coordinate first and the x-coordinate second when telling his sister where to meet him. To his surprise, she was at the right location. If his sister did not make an error, where did the siblings meet ?- Explain how you know.
If the both coordinates are equal and has same sign then interchanging them will not have any effect and they will meet at the right location
How to find where they will meetInterchanging the x coordinate for the y coordinate when both are equal and have same sign will create no effect and hence this will not affect their meeting place
In a situation where the coordinates are different, interchanging the two coordinates will lead to meeting at a different point.
The point of meeting when the coordinates are different either in sign or in value is at reflection over the line y = x
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Joey makes $9 an hour at Burger Palace. He worked 5 hours on Friday
and 8 hours on Saturday. Write an expression and use the distributive
property to find how much Joey made.
Answer:
9(5 + 8)
Step-by-step explanation:
