The given statement " If f'(x) = g'(x) for 0" is false because both functions are defined for 0 < x < 1, but f(x) is not equal to g(x) on this interval.
The statement is false.
Counterexample: Let f(x) = x and g(x) = x^2. Then f'(x) = 1 and g'(x) = 2x. Both functions are defined for 0 < x < 1, but f(x) is not equal to g(x) on this interval. Therefore, f'(x) = g'(x) for 0 < x < 1 does not imply that f(x) = g(x) for 0 < x < 1.
It can be proved in an alternative way:
Consider f(x) = x and g(x) = x + c, where c is a constant. Then f'(x) = 1 and g'(x) = 1, so f'(x) = g'(x) for all x. However, f(x) = g(x) only when c = 0. Therefore, the statement is not true in general.
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Help me!
A 180
B 115
C 65
Answer:
ik this
Step-by-step explanation:
i believe its 180
Answer: B) 115
Step-by-step explanation: i hop this help if not sorry :(
XYZ is an isosceles triangle inscribed I a circle, center O. XY=XZ= 20 and YZ=18. Calculate to 3.s.f.
a) the altitude of ∆XYZ
b) the diameter of the circle
Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)
Part B: Suppose Steven combined the table-
tennis balls into one large bag instead of two
individual bags. Would the probability change
from Part A if Steven wanted to draw a "1" and a
"B" without replacement?
A
Answer:
D.
Yes, the probability would change because you are drawing from one bag and this changes the number of possible outcomes.
Step-by-step explanation:
Yes, the probability would change because you are drawing from one bag and this changes the number of possible outcomes.
What is the probability?Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?
Given:
Suppose Steven combined the table tennis balls into one large bag instead of two individual bags.
When the two bags are combined into one, the number of possible outcomes is reduced.
Drawing from one bag means that there is now only one set of balls to choose from, rather than two separate sets.
This means that the total number of possible outcomes is reduced, which changes the probability of drawing a "1" and a "B" without replacement.
Therefore, the probability would change.
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0.4 divided by 588.5
Answer:
0.00067969413
Step-by-step explanation:
The solution to the given decimal division is calculated as: 141.725
How to divide decimal numbers?To divide decimals, we need to convert both numbers to a simple unit and divide to get:
0.4 divided by 588.5
We know that 0.4 can be written as:
0.4 = 4 * 10⁻¹
588.5 can be written as:
588.5 = 5885 * 10⁻¹
Thus, we have:
(5885 * 10⁻¹)/(4 * 10⁻¹)
= (5885/4) * (10⁻¹/10⁻¹)
= 141.725
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PLEASE HELP THIS IS URGENT!
which number is divisible by both 3 and 9
A. 36,359
B. 36,622
C. 48,618
D. 48,667
Answer:
48,618 is the answer
Step-by-step explanation:
i need help!! can anybody help me?
Suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 40%. Which of these groups of numbers could represent a success?
A. 0,1
B. 0,1,2,3
C. 0,1,2
D. 0,1,2,3,4
Answer:
B. 0, 1, 2, 3
Step-by-step explanation:
You want to know the numbers from 0–9 that could be used to represent success if the probability of success is 40%.
ModelTo model a 40% success rate, we want 40% of the possible outcomes to represent success. There are 10 numbers in the range 0–9, so we need to have 40%×10 = 4 of the numbers represent success.
A suitable choice for 4 of the numbers is ...
0, 1, 2, 3 . . . . . choice B
<95141404393>
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
i need help finding the answer
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8
5
A Petri dish is filled with 250 bacterial cultures. The number of bacteria in the dish triples
every hour.
Select the recursive and explicit formulas that model the scenario.
The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹
Calculating the recursive and explicit formulas that model the scenario.From the question, we have the following parameters that can be used in our computation:
Initial = 250 bacterial cultures.Rate = triples every hour.This means that
Initial, a = 250 bacterial cultures.
Rate = 3
So, the recursive formulas is
f(n) = 3f(n - 1), where f(1) = 250
For the explicit formula, we have
f(n) = 250(3)ⁿ‐¹
Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹
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In Exercises 7–10, use the graph of the function to find the domain and range of f and each function value.
(a) f(−1)
(b) f(0)
(c) f(1)
(d) f(2)
The domain and range of the function are [-3, 3] and [-2, 4], respectively and The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.
Given that the graph of the function is shown below, the domain and range of the function need to be determined along with finding the function values for (a) f(−1), (b) f(0), (c) f(1) and (d) f(2).Graph of the function:Graph of the function for the given graph of the function, we can observe that the domain of the function is from -3 to 3 as the graph is defined within these limits.In order to find the range of the function, we need to look at the range of the y-coordinates.
The minimum value of y is -2 and maximum value of y is 4.Range of the function: [-2, 4]a) f(-1) means the function value for x = -1. As we can observe from the graph, the point where x = -1 is on the graph of the function is (1, 0). Therefore, f(-1) = 0b) f(0) means the function value for x = 0. As we can observe from the graph, the point where x = 0 is on the graph of the function is (0, -2).
Therefore, f(0) = -2c) f(1) means the function value for x = 1. As we can observe from the graph, the point where x = 1 is on the graph of the function is (2, 4). Therefore, f(1) = 4d) f(2) means the function value for x = 2. As we can observe from the graph, the point where x = 2 is on the graph of the function is (3, 3). Therefore, f(2) = 3
Thus, the domain and range of the function are [-3, 3] and [-2, 4], respectively. The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.
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Jorge's friend Anna planted a garden with the same ratio of tulips to daisies. Anna's garden has 21 tulips. How many total flowers are in Anna's garden?
Answer:
48 flowers
Step-by-step explanation:
Since, the ratio of tulips to daisies are the same.
Hence, if we have x number of daisies, then the number of tulips will also be x.
Therefore, with number of tulips being 21 and equal ratio of daisies will also mean that Anna has 21 daisies .
The total number of flowers will be :
Number of tulips + Number of daisies
21 + 21 = 42 flowers
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
miles around a track each day. If you jogged that distance 4
times last week, how many miles did you jog
According the question given you jogged around the distance of 26\(\frac{2}{3}\) miles.
What is an improper fraction?
When the numerator value exceeds the denominator value, the fraction is incorrect. Incorrect fractions can also be expressed in the form of a whole number and a proper number, where the numerator is the remainder and the denominator is left unchanged.
Here, we have
Given: You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week.
We have to find out how many miles did you jog.
The total jogging distance will be
= 4(6 2/3) miles
= 4 × 20/3 miles
= 80/3 miles
= 26\(\frac{2}{3}\) miles.
Hence, you jog 26\(\frac{2}{3}\) miles.
Question: You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?
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Two similar-looking series are given. Test each one for convergence or divergence.
∑_(n=1)^[infinity]▒〖( n/n^2 +3)〗
O convergent
O divergent
∑_(n=1)^[infinity]▒( n/n^2 +3) ^n
O convergent
O divergent
1. Series:
\(\[\sum_{n=1}^{\infty} \frac{n}{{n^2 + 3}}\]\)
To determine the convergence or divergence of this series, we can use the comparison test or the limit comparison test.
Using the comparison test:
We compare the given series with a known series that we know to be convergent or divergent. Let's consider the series \(\(\sum_{n=1}^{\infty} \frac{1}{n}\).\)
As \(\(n\)\) approaches infinity, the term \(\(\frac{n}{{n^2 + 3}}\)\) is always less than or equal to \(\(\frac{1}{n}\).\)
Since the series \(\(\sum_{n=1}^{\infty} \frac{1}{n}\)\) is a known divergent harmonic series, and the terms of our series are less than or equal to the corresponding terms of the harmonic series, we can conclude that our series is also divergent.
Therefore, the first series is divergent.
2. Series:
\(\[\sum_{n=1}^{\infty} \left(\frac{n}{{n^2 + 3}}\right)^n\]\)
To test the convergence or divergence of this series, we can use the root test or the ratio test.
Using the root test:
We take the \(\(n\)th\) root of the absolute value of the series term and check the limit as \(\(n\)\) approaches infinity.
Let's calculate the limit:
\(\[\lim_{{n\to\infty}} \left(\frac{n}{{n^2 + 3}}\right)^n = \lim_{{n\to\infty}} \left(\frac{n^n}{{(n^2 + 3)^n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n} + 3n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n}}}\right) = \lim_{{n\to\infty}} \left(\frac{1}{{n^n}}\right) = 0\]\)
Since the limit is less than 1, the root test tells us that the series converges.
Therefore, the second series is convergent.
In summary:
1. The first series is divergent.
2. The second series is convergent.
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a pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. this plan randomly selects and tests 21 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. what is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 15% rate of defects? (report answer as a decimal value accurate to four decimal places.) p(accept shipment)
0.9660 is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 15% rate of defects
What is probability ?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
CalculationIf the number of tablets in a shipment is sufficiently large, we can consider the testing procedure you describe (selecting a random sample of 29 ibuprofen tablets and counting the number of defective tablets in the sample) to be a binomial probability experiment.
Let X = (Number of defective ibuprofen tablets in a random sample of 29 tablets.) Then we may reasonably assume that X follows a binomial distribution. For each "trial" (that is, each tablet selected), there are two possible outcomes, "success" (the tablet is defective), or "failure" (the tablet is not defective). Note that the word success as used in the binomial distribution does not carry the connotation of being a "good" outcome. A "success" is simply the outcome you are interested in counting, which in this case is the number of defectives in the sample. The important parameters for a binomial distribution are n (the number of trials) and p (the probability of success on any one trial.) For this situation, we have p = .01 (since we are told 1% of the tablets in the shipment are defective) and n = 29. The general formula for the binomial distribution is
P(x) = nCx·px·(1 - p)n-x
where x is the number of successes in n trials (In this problem, x is the number of defectives in a random sample of 29 tablets.) The symbol nCx is the "number of combinations of n things taken x at a time". This is the number ways of choosing x distinct objects from a set of n objects, without regard to order. It is given by
nCx = n!/[x!·(n-x)!]
where ! is the factorial symbol.
We want to find the probability that the shipment is accepted. We are told that a shipment will be accepted if at most one tablet doesn't meet the required specifications. That is, the number of defectives must be less than or equal to one.
P(Shipment accepted) = P(X ≤ 1). (In this case, X ≤ 1 if and only if X=0 or X=1)= P(0) + P(1).
So we calculate P(0) (the probability of 0 defective tablets in the shipment), and P(1) (the probability of 1 defective.) Using the formula for the binomial distribution, we have
P(0) = 29C0·(.01)0·(1 - .01)29 - 0.
But 29C0 = 1, so
P(0) = 1·(.01)0·(.99)29 ≅ .74717
Also,
P(1) = 29C1·(.01)1·(1 - .01)29 - 1.
Calculating 29C1, we have
29C1 = 29!/[1!·(29-1)!] = 29, so
P(1) = 29·(.01)1·(99)28
P(1) ≅ .21887
Finally, then, we have
P(Shipment accepted) ≅ .74717 + .21887 ≅ .9660 (to 4 decimal places.)
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please help, i cant figure this out!!
Answer:
a = 127° , b = 12° , c = 115°
Step-by-step explanation:
a and 53° are same- side interior angles and sum to 180° , that is
a + 53° = 180° ( subtract 53° from both sides )
a = 127°
c and 115° are alternate angles and are congruent , then
c = 115°
53° , b and c lie on a straight line and sum to 180°
53° + b + c = 180°
53° + b + 115° = 180°
b + 168° = 180° ( subtract 168° from both sides )
b = 12°
then a = 127° , b = 12° , c = 115°
Answer:
a = 127; b = 12; c = 115
Step-by-step explanation:
c =115
b = 180 - 115 - 53
b = 12
a = b + c
a = 12 + 115
a = 127
Can someone please help? Thank youuu:)
True or False? suppose bx and dx both contain positive integers. if adding them produces a negative result, the overflow flag will be set.
True.
If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.
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What’s the answer for this problem !
Answer:
Brett is 13 years old.
Step-by-step explanation:
Both ages are in terms of Julie's age, so let j = Julie's age.
Julie's age = j
Sal's age = 3j + 4
Brett's age = 2j - 5
Sum of ages = 53
j + 3j + 4 + 2j - 5 = 53
6j - 1 = 53
6j = 54
j = 9
Julie is 9 years old.
Brett's age:
2j - 5 = 2(9) - 5 = 18 - 5 = 13
Answer: Brett is 13 years old.
Draw and label a diagram of the path of an airplane climbing at an angle of 11° with the ground. Find, to the nearest foot, the ground distance the airplane has traveled when it has attained an altitude of 400 feet.
The ground distance traveled = 400 feet / cos(11°) ≈ 391.37 feet, rounded to the nearest foot is 391 feet.
What is travel?Travel is the act of moving from one place to another. It is an activity that can be undertaken for leisure, recreation, business, or educational purposes. It can involve short or long distances and can be done by foot, car, train, boat, or plane.
The diagram below illustrates the path of the airplane climbing at an angle of 11° with the ground. The ground distance the airplane has traveled when it has attained an altitude of 400 feet can be found using the formula for the length of a side of a right triangle, which is side length = opposite side length / cos (angle).
So in this case, the ground distance traveled = 400 feet / cos(11°) ≈ 391.37 feet, rounded to the nearest foot is 391 feet.
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Write the equation of the line, in slope-intercept form, with the following information
slope: 2
y intercept (0,-1)
Answer:
I think its y = 2 x − 1
You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance from your house by adding 5 to the number of miles you have walked. In the equation below, x represents the number of miles you have walked, and y represents your distance from home in miles.
The relationship between these two variables can be expressed by the following equation:
y=x+5
Identify the dependent and independent variables.
Answer:
y is the dependent variable and x is the independent variable
Step-by-step explanation
The number on the right of the equal sign is always the independent variable and the number on the left is always the dependent variable.
independent variable = dependent variable +5
I'm pretty sure I have the right answer but can someone answer this for me ?
ANSWER
28.285 units
EXPLANATION
We are given the square EFGH and we need to find the perimeter.
The perimeter of a square is given as:
P = 4 * L
P = 4L
where L = length of the side of the square
To find the length of the side of the square, we have to find the distance between a pair of adjacent vertices of the square.
Let us pick E(0, 5) and F(5, 0).
The distance between the two points is:
\(L\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)where (x1, y1) = (0, 5)
(x2, y2) = (5, 0)
Therefore, the length of the square (distance between the two points) is:
\(\begin{gathered} L\text{ = }\sqrt[]{(5-0)^2+(0-5)^2}\text{ = }\sqrt[]{5^2+(-5)^2} \\ L\text{ = }\sqrt[]{25\text{ + 25}}\text{ = }\sqrt[]{50} \\ L\text{ = 7.071 units} \end{gathered}\)Therefore, the perimeter of the square is:
P = 4 * 7.071
P = 28.284 units
Suppose that we flip a fair coin until either it comes up tails twice or we have flipped it six times. What is the expected number of times we flip the coin
The expected number of times the coin is flipped is 3.75.
What is Probability?Probability refers to the chance of occurrence of an event.
Let E be an event. Then, the probability of E = P(E)
=> P(E) = \(\frac{Number Of Favourable Outcomes Of E}{Total Number Of Outcomes}\)
Now,
When the coin is flipped two times, Total number of outcomes = 4 Total number of Favorable outcomes = 1P(Tail coming up twice) = \(\frac{1}{4}\)
When the coin is flipped three times,Total number of outcomes = 8 Total number of Favorable outcomes = 2P(Tail coming up twice) = \(\frac{2}{8}\)
When the coin is flipped four times,Total number of outcomes = 16Total number of Favorable outcomes = 3P(Tail coming up twice) = \(\frac{3}{16}\)
When the coin is flipped five times,Total number of outcomes = 32Total number of Favorable outcomes = 4P(Tail coming up twice) = \(\frac{4}{32}\)
When the coin has been flipped six times,P(Tail coming up twice) = \(1-\frac{1}{4}-\frac{2}{8}-\frac{3}{16}- \frac{4}{32} = \frac{3}{16}\)
Therefore, the expected number of times coin is flipped = \(2(\frac{1}{4}) + 3(\frac{2}{8}) + 4(\frac{3}{16} )+5(\frac{4}{32} )+6(\frac{3}{16} ) =\frac{15}{4} = 3.75\)
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Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α
Answer:
m∠C = 60°
Step-by-step explanation:
we know that sum of angles of a traingle is 18 degrees.
given
m∠A = 60°+α,
m∠B = 60°−α
we have to find m∠C
m∠A + m∠B + m∠C = 180
60°+α + 60° - α +m∠C = 180
+α and -α gets cancelled
120°+m∠C = 180
=> m∠C = 180° - 120° = 60°
Thus, measure of angle c is 60°.
In an examination, a score of 154 is 44 %. What is the maximum score for the examination
Answer:
350
Step-by-step explanation:
154/0.44 = 350
Answer: 350
Check: 44% of 350 = 0.44 × 350 = 154
The solution is 350
The maximum score for the examination is given by the equation A = 350
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 score of the examination = 154
The percentage of the score 154 = 44 %
So , the equation will be
score of the examination = 44 % of the maximum score A
Substituting the values in the equation , we get
154 = ( 44 / 100 ) x A
On simplifying the equation , we get
A ( 0.44 ) = 154
Divide by 0.44 on both sides of the equation , we get
A = 154 / 0.44
A = 350
Therefore , the value of A is 350
Hence , the maximum score is 350
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just answers, no links!
Answer:
D.
Step-by-step explanation:
X2 + 4 = 9 just gooooooo