Find the critical numbers and the open intervals on which the given function is increasing or decreasing. Be sure to label the intervals as increasing or decreasing. f(x)=x 3√(x−4).
Answers
The critical numbers of the given function f(x) = x(3√(x−4)) is {0} and the open intervals on which the function is increasing and decreasing are:(-∞,0) on which f(x) is decreasing and(0,∞) on which f(x) is increasing.
The function f(x) = x(3√(x−4)) can be written as `f(x) = x * (x-4)^1/3`.
Using the product rule of differentiation,
we can find the derivative of the given function f(x) = x(3√(x−4)) as follows:`
f(x) = x (x-4) 1/3 f'(x) = [d/dx (x)] (x-4)1/3 + x [d/dx (x-4)^1/3]f (x) = (x-4)1/3 + (x/3)(1/3)*(x-4)^(-2/3)f(x) = (x-4)^1/3 + (x/9)(x-4)(-2/3)
We need to find the critical numbers and the intervals of increasing and decreasing.
These can be done by finding the sign of the first derivative f'(x).i.e., f (x) > 0 gives f(x) is increasing.
f'(x) < 0 gives f(x) is decreasing.
We know that (x-4)1/3 > 0 and x > 0 for all x.
Thus the sign of the function f (x) is given by the sign of (x/9)(x-4)(-2/3).To find the critical numbers we can solve the equation f(x) = 0.(x-4)1/3 + (x/9)(x-4)(-2/3) = 0Let (x-4)1/3 = t.
Then, t + (x/9)t(-2) = 0
Multiplying throughout by 9t2,
we get:
9t^3 + x = 0Since x > 0,
there is only one real root for the above equation given by t = (-x/9)(1/3).
Thus, x = 9t3 = -9(x3/729)(1/3).This implies, (x3/729)(1/3) = -x/9.
Simplifying we get x2 + 81 = 0 which is not possible.
Therefore,
the function has no critical numbers.
Now,
the sign of f(x) is given by the sign of (x/9)(x-4)(-2/3).
Note that (x-4)(-2/3) is always positive and x/9 is positive if x > 0 and negative if x < 0.
Hence the function is decreasing in (-∞,0) and increasing in (0,∞).
Therefore the critical numbers of the given function f(x) = x(3√(x−4)) is {0} and the open intervals on which the function is increasing and decreasing are:(-∞,0) on which f(x) is decreasing and(0,∞) on which f(x) is increasing.
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Related Questions
Solve using linear systems 2x-8y=10
X = 4y-5
Answers
The solution for the given linear equation as required in the task content is such that they have no solution.
What is the solution of the given linear systems?It follows from the task content that the solution of the given linear systems is to be determined.
The solution can be evaluated by first expressing each of the equations in slope intercept form so that we have;
y = (1/4)x - 5/4
y = (1/4)x + 5/4.
By observation, it follows that the slopes of the equations are equal and the y-intercepts are different.
Hence, the system represents parallel lines and the system has no solution.
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The system of equations has no solutions.
How to solve this system of equations?Here we have the system:
2x - 8y = 10
x = 4y - 5
x is already isolated in the second equation, so we can replace that in the first one, then we will get:
2*(4y - 5) - 8y = 10
8y - 10 - 8y = 10
-10 = 10
That is false, thus, the system of equations has no solutions.
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Solve for x in this figure.
Answers
Answer:
111º
Step-by-step explanation:
The sum of the octagon's interior angles equals 900º.
Therefore, subtract the sum of the angles defined from 900
900 - (139+141+120+136+118+135) = 111º
determine the sum of the following series. ∑n=1[infinity](1n 9n11n)
Answers
The sum of the series ∑n=1 to infinity of \(\frac{1}{n} \cdot 9^n \cdot 11^n\) is a divergent series, which means it does not converge to a finite value.
To determine if the series converges or diverges, we can use the limit comparison test.
Let's compare the given series to the harmonic series, which is known to diverge. The harmonic series is given by ∑n=1 to infinity of 1/n.
We can take the limit as n approaches infinity of the ratio between the terms of the given series and the harmonic series:
\(\[\lim_{{n\to\infty}} \left( \frac{1}{n} \right) \left( 9^n \right) \left( 11^n \right) \div \left( \frac{1}{n} \right)\]\)
Using algebraic properties of limits, we can simplify this expression:
\(\lim_{{n \to \infty}} (9^n)(11^n)\)
As n approaches infinity, both 9ⁿ and 11ⁿ grow exponentially, and their product also grows exponentially without bound. This means that the ratio between the terms of the given series and the harmonic series does not approach zero, and therefore the given series does not converge.
Therefore, the sum of the series ∑n=1 to infinity of \(\frac{1}{n} \cdot 9^n \cdot 11^n\) is a divergent series.
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could someone help me solve this please? I need severe help por favor
Answers
First, we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the given point and the origin:
h = sqrt((-2)^2 + 4^2) = sqrt(20) = 2sqrt(5)
Next, we can use the coordinates of the given point to determine the values of the trigonometric functions:
sin(0) = y/h = 4/2sqrt(5) = 2sqrt(5)/5
cos(0) = x/h = -2/2sqrt(5) = -sqrt(5)/5
tan(0) = y/x = -2/4 = -1/2
csc(0) = h/y = 2sqrt(5)/4 = sqrt(5)/2
sec(0) = h/x = -2sqrt(5)/2 = -sqrt(5)
cot(0) = x/y = -4/2 = -2
Therefore, the six trigonometric functions of the angle in standard position that has its terminal side passing through the point (-2,4) are:
sin(0) = 2sqrt(5)/5
cos(0) = -sqrt(5)/5
tan(0) = -1/2
csc(0) = sqrt(5)/2
sec(0) = -sqrt(5)
cot(0) = -2
Find the Laplace transform where of the function f(t) =
{ t, 0 < t < {π + t π < t < 2π where f(t + 2 π) = f(t).
Answers
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
Given function is,f(t) ={ t, 0 < t < π π < t < 2π}
where f(t + 2 π) = f(t)
Let's take Laplace Transform of f(t)
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)
∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}
⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0
when e^{2πs} ≠ 1 ⇒ s ≠ 0
∴ The Laplace Transform of f(t) is
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...
= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
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Nick charges $55 per hour for surfing lessons
plus a $30 registration fee. If Mrs. Smith
doesn't want to pay more than $470, what is
the maximum number of hours she can take
lessons?
Answers
Answer:
8 hours max
Step-by-step explanation:
470-30=440
440/55=8
suppose there are a black balls and b white balls in a jar. we randomly pick a ball from the jar and put it back until we have a white ball. denote x as the number of balls we have picked. what would be the distribution and expectation of x? (the distribution is the general formula for P(x=k)
for each
k∈N)
. (You should derive the expectation from the definition).
Answers
It is the sum of the product of the number of trials and the probability of getting a white ball in that trial. E(X) = 1(1-p) + 2(1-p)p + 3(1-p)p2 + ....= 1 + (1-p)p + (1-p)p2 + ....= 1/p = (a+b)/b = (a/b) + 1.
Suppose there are a black balls and b white balls in a jar. We randomly pick a ball from the jar and put it back until we have a white ball. Denote x as the number of balls we have picked. What would be the distribution and expectation of x? (the distribution is the general formula for P(x=k) for each k ∈ N). (You should derive the expectation from the definition).The probability of picking a white ball is p = (b/(a+b)).
Then the probability of getting a white ball after x-1 black balls would be (1-p)x-1p. The distribution can be given as:P(x=k) = (1-p)k-1pSince we are choosing balls randomly, the balls' outcomes are independent of each other. Therefore, the distribution of x is given by the geometric distribution. The expectation is the total number of trials required to get a white ball.
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what are the missing reasons in the proof?
Answers
Answer:
Step-by-step explanation:
3) Opposite sides of a parallelogram are parallel
4) Alternate interior angles theorem
5) Reflexive property
6) ASA
She uses 32 spacers, plus 7 beads per inch of necklace length. Where is x is the length in inches, of the necklace
Answers
If she uses 32 spacers, plus 7 beads per inch of necklace length. The equation to find how many beads Li has" will be,y=32+7x
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable. A linear equation has the form y = mx + b in the slope-intercept format
It is given that, for each necklace, she uses 32 spacers, plus 7 beads per inch of necklace length.
If x is the length in inches, of the necklace. The equation to find how many beads Li has" will be,
y=32+7x
Thus, if she uses 32 spacers, plus 7 beads per inch of necklace length. The equation to find how many beads Li has" will be,y=32+7x.
The question is incomplete. The complete question is"Li is making beaded necklaces. For each necklace, she uses 32 spacers, plus 7 beads per inch of necklace length. Where is x the length in inches, of the necklace? Write an equation to find how many beads Li has"
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A _____ sample is a sample in which every member of the population has an equal chance of being chosen.
A. systematic
B. probability
C. stratified
D. simple random
Answers
A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.
A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.
B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.
C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.
D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.
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What is the rejection region in a one-tailed hypothesis test with a significance level of 0.05?
A) the upper 5% of the distribution
B) the lower 5% of the distribution
C) the upper 2.5% of the distribution
D) the lower 2.5% of the distribution
Answers
Step-by-step explanation:
In a one-tailed hypothesis test with a significance level of 0.05, the rejection region depends on the specific alternative hypothesis being tested.
If the alternative hypothesis is one-tailed and states a direction of effect (e.g., greater than or less than), the rejection region will be either in the upper or lower tail of the distribution, but not both.
For a one-tailed hypothesis test with a significance level of 0.05, the rejection region will be either the upper 5% of the distribution or the lower 5% of the distribution, depending on the direction of the alternative hypothesis.
So, the correct answer is:
A) the upper 5% of the distribution if the alternative hypothesis is stating a greater-than effect.
or
B) the lower 5% of the distribution if the alternative hypothesis is stating a less-than effect
the number defects per part from an aging machine is shown below. number of defects (x) per part 0 1 2 3 4 5 probability p(x) 0.15 0.20 0.30 0.10 0.20 0.05 what is the mean of the data?
Answers
The mean of the following data is 0.1800
What is mean?In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.acc to our question-
100C5 * .05^5 *.95^95 ~ 18.00%hence,The mean of the following data is 0.1800
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4.5k>18 Graph the solution of the inequality.
Answers
Graph the solution of the inequality 4.5k>18 is equal to k > 4 ( see image), by using the inequality equation.
Based on the given conditions,
4.5k>18
What is an Inequality :In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
a ≠ b says that a is not equal to b
a < b says that a is less than b
a > b says that a is greater than b
(those two are known as strict inequality)
a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b.
To solve given graph,
We can write,
4.5k>18
4.5k - 18 > 0
4.5k > 18
k > 18/4.5
We can get the division,
k > 4 (We can see image)
Therefore,
4.5k>18 Graph the solution of the inequality is k > 4 ( see image ), by using inequality equation.
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You take an SRS of size 500 from the 37,000 students at Purdue University. You then take an SRS of size 500 from the 4,400,000 adults in the state of Indiana. The margin of error in a 95% confidence statement for the Indiana sample is (a) the same as for the Purdue sample because both are samples of size 500. (b) smaller than for the Purdue sample because the population is much larger. (c) larger than for the Purdue sample because the population is much larger. (d) either larger or smaller than for the Purdue sample because it changes at random when we taker a sample.
Answers
Option A is correct because margin of error depends on sample size.
What is margin of error?Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.
Given sample size = 500
total outcomes = 37,000
the margin of error in a 95% confidence
the margin of error is given by
Margin of error (statistic) = Critical value x Standard error of the sample.
so according to the given condition margin of error in a 95% confidence is same as for the Purdue sample because both are samples of size 500, because it depnds on sample size.
Hence option A is correct.
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To add the suffix able to port requires a spelling change.
· True
· False
Answers
this us the answer thank you
Pecahan yang senilai dengan 1/5 adalah
Answers
5 An arithmetic progression has a second term of -14 and a sum to 21 terms of 84. Find the first term and the 21st term of this progression.
Answers
Answer:
a₁ = - 16 , a₂₁ = 24
Step-by-step explanation:
The nth term of an AP is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = - 14 , then
a₁ + d = - 14 → (1)
The sum to n terms of an AP is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
Given S₂₁ = 84 , then
\(\frac{21}{2}\) [ 2a₁ + (n - 1)d ] = 84 ( multiply both sides by 2 )
21(2a₁ + 20d) = 168 ( divide both sides by 21 )
2a₁ + 20d = 8 → (2)
From (1) d = - 14 - a₁ ← substitute into (2)
2a₁ + 20(- 14 - a₁) = 8 , that is
2a₁ - 280 - 20a₁ = 8
- 18a₁ - 280 = 8 ( add 280 to both sides )
- 18a₁ = 288 ( divide both sides by -18 )
a₁ = - 16
Substitute a₁ = - 16 into (1)
- 16 + d = - 14 ( add 16 to both sides )
d = 2
Then
a₂₁ = - 16 + 20(2) = - 16 + 40 = 24
solve 1/2 - 6/8 equals to 2
Answers
Answer:correct
Step-by-step explanation:
The horse ran the 4 mile in 22 seconds. How many days (24
hours/day) would it take for the horse to run the length of the
Nile River? (*The length of the Nile River is 4,160 miles.) If the
horse had to rest for 12 hours each day, how long would it take
then? Round your answers to the nearest whole number
Answers
The horse ran 4 miles in 22 seconds. We need to find how many days it would take the horse to run the length of the Nile River and how long it would take the horse if it had to rest for 12 hours each day.The horse ran 4 miles in 22 seconds.
We can calculate the speed of the horse by using the formula:Speed = Distance / TimeDistance covered by horse = 4 milesTime taken by the horse = 22 seconds Speed of the horse = Distance / Time= 4 / 22 miles/secondWe need to convert this to miles per day.24 hours = 24 × 60 × 60 seconds = 86,400 seconds1 day = 86,400 secondsDistance travelled by the horse in a day = Speed × Time= 4 / 22 × 86,400 miles/day≈ 15,636 miles/dayTo travel the length of the Nile River, the horse would take:Number of days = Length of Nile River / Distance travelled per day= 4160 / 15,636 days≈ 0.266 days≈ 1 day (rounded to nearest whole number)Therefore, it would take 1 day (24 hours/day) for the horse to run the length of the Nile River. Now, let's calculate how long it would take the horse if it had to rest for 12 hours each day.Each day, the horse runs for 12 hours and rests for 12 hours.Distance travelled by horse in 12 hours = Distance travelled per day / 2= 15,636 / 2 miles/day= 7,818 miles/dayTo travel the length of the Nile River with 12 hours of rest each day:Number of days = Length of Nile River / Distance travelled per day= 4160 / 7818 days≈ 0.532 days≈ 1 day (rounded to nearest whole number)Therefore, it would still take 1 day (24 hours/day) for the horse to run the length of the Nile River even if it had to rest for 12 hours each day.
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PLEASEEEE HELPPO MEEEE
Answers
Answer:
c
Step-by-step explanation:
its c bro
Answer:
Step-by-step explanation:
Answer
Given
Area = 576 square feet
dimensions of x feet by x feet
Since both the length and width are the same dimensions, x feet, use the area to calculate the length of the dimension.
×·×=576
\(x^{2} = 576\\\)
\(\sqrt{x^{2}\) = \(\sqrt{576\)
×= 24
Now we have the length of the dimension of the fence, normally, we will be using the four sides to build the fence, but since we will be using the wall of the house as one of the sides, then we will only multiply by 3
3x24=72
Therefore, the fencing needed is 72 feet.
can someone pls help for brainlest
Answers
Answer:
12.56 in ^2
Step-by-step explanation:
First find the area of a circle with radius 4
A = pi r^2
A = (3.14) 4^2
A =50.24
Since it is 1/4 of a circle, multiply by 1/4
1/4 ( 50.24)
12.56
Answer:
Quarter circle's area is 12.56 inches².
Step-by-step explanation:
Concept:- Firstly, we need to find the area of circle and Since, it is quarter of circle we need to multiply the area of circle by 1/4. and we get answer
✯ Solution ✯Finding area of circle
Using Formula
Area of circle = π × r ²
Where,
r ,is the radius of circleAnd we have given
Radius, r of circle is 4 in.Value of π is 3.14Substitute the value into the formula
Area of circle = 3.14 × ( 4 in. )/²
now,
Area of circle = 3.14 × 16 in ².
multiply , we get
Area of circle is 50.24 nches ²
As have to find the quarter circle's area ,
and we know that quarter is the one fourth of the circle .
Quarter circle's area = Area of circle × 1/4
Multiply , we get
Quarter circle's area = 50.24 × 1/4
Therefore, quarter circle's area is 12.56 inches².
your menu involved many calculations with decimals. Reflect on how you made these calculations: 1. How did you compute sums of dollar amounts that were not whole numbers? For example, how did you compute the sum of $5.89 and $1.45? Use this example to explain your strategy. Show your work here. I 2. How did you compute products of dollar amounts that were not whole numbers? For example, how did you compute the cost of 4 pounds of beef at $5.89 per pound? Use this example to eynlain vaurstraten a 9 NA
Answers
1. 5.84 +1.45 = $ 7.29
My strategy to do this kind of operations is always leaving the point in the same place
5.84
+ 1.45
______
the points always need to be in the same column then you sum starting in the right side so first 4+5=9 then 8+4=12 you only put the value of 2 and the one we left we sum with
5+1+1= 7
so the result of the sum os 7.29
2. In this example we do as we normally do the products but always to need in count how many numbers are after the point
5.89*4 =23.36
I did the product and the result, if the number were integers, will be 2336 how many numbers are after the point, there are 2 so the result with a point will be 23.36
Can someone explain to me how to do this? (-6, -1) (11, -18) I need to find the slope and the (x1 - x2) thing
(y1 - y2)
Answers
Answer:
Step-by-step explanation:
\((-6,-1)\ \ \ \ (11,-18)\\\displaystyle\\x_1=-6\ \ \ \ x_2=11\\x_1-x_2=-6-11\\x_1-x_2=-17\\\\y_1=-1\ \ \ \ y_2=-18\\y_1-y_2=-1-(-18)\\y_1-y_2=-1+18\\y_1-y_2=17\\\\The\ slope=\frac{y_1-y_2}{x_1-x_2} \\\\The\ slope=\frac{17}{-17} \\\\The\ slope=-1\)
a consultant wants to ask workers at a factory about the workers' job satisfaction. which of the following best describes a stratified sample of workers? the consultant assigns each worker a different number. using a random number table, he draws of those numbers at random. then, the consultant selects the workers assigned to the drawn numbers. every set of workers is equally likely to be drawn using the random number table. the consultant forms groups of workers based on the workers' shifts. then, he selects workers at random from each group. the consultant forms groups of workers based on the lengths of time the workers have worked at the factory. then, he randomly chooses groups and selects all of the workers in these groups.
Answers
The option that best describes a stratified sample of workers is: "The consultant forms groups of workers based on the lengths of time the workers have worked at the factory, then randomly chooses groups and selects all of the workers in these groups."
What is probability?
Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.
The option that best describes a stratified sample of workers is:
"The consultant forms groups of workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses groups and selects all of the workers in these groups."
In a stratified sample, the population is divided into subgroups or strata based on some relevant characteristic (in this case, the length of time workers have worked at the factory), and then a random sample is taken from each subgroup. This ensures that each subgroup is represented in the sample, and the overall sample is more representative of the population.
In this option, the consultant has formed groups of workers based on the length of time they have worked at the factory (a relevant characteristic). Then, the consultant selects all of the workers in the randomly chosen groups. This ensures that each subgroup of workers (based on length of time worked at the factory) is equally represented in the sample, and the overall sample is more representative of the population.
Therefore, the option that best describes a stratified sample of workers is: "The consultant forms groups of workers based on the lengths of time the workers have worked at the factory, then randomly chooses groups and selects all of the workers in these groups."
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Evaluate ∫ ∫ (x² + y²)dx dy over the region in the positive quadrant which x+y≤1.
Answers
The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.
To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.
Now, integrating the inner integral with respect to x, we get:
∫ (x² + y²)dx = (1/3)x³ + y²x + C1,
where C1 is the constant of integration.
Next, we integrate the resulting expression with respect to y:
∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,
where C2 is another constant of integration.
Finally, we evaluate this double integral over the given region by substituting the limits of integration:
∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.
Performing the integration, we can find the numerical value of the double integral within the given region.
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1882-9937?
Please help I'm not smart and may I have a friend? ill give brainliest :)
Answers
Step-by-step explanation:
1882 - 9937
the easiest way to do it is to turn it around :
9937 - 1882
= 8055
then you add a subtraction sign at the back
= - 8055
Which expression is equivalent to 15x + 3?
Answers
Answer:
the answer is 15x+3=3(5x+1)
Help with this one very confused
Answers
Answer: 250m2
Step-by-step explanation: You multiply 10 x 5 x 5 = 250
assign biggest decrease to the biggest decrease in waiting time between two consecutive eruptions. for example, the third eruption occurred after 74 minutes and the fourth after 62 minutes, so the decrease in waiting time was 74 - 62
Answers
The biggest decrease in waiting time between two consecutive eruptions is 18 minutes.
Here, we have,
To assign the biggest decrease to the biggest decrease in waiting time between two consecutive eruptions, we need to compare the decreases in waiting time for each pair of consecutive eruptions and identify the pair with the largest decrease.
Let's consider a sequence of eruption waiting times as an example:
Eruption 1: 60 minutes
Eruption 2: 70 minutes
Eruption 3: 74 minutes
Eruption 4: 62 minutes
Eruption 5: 80 minutes
To find the biggest decrease in waiting time, we compare the differences between consecutive eruptions:
Decrease between Eruption 1 and Eruption 2: 70 - 60 = 10 minutes
Decrease between Eruption 2 and Eruption 3: 74 - 70 = 4 minutes
Decrease between Eruption 3 and Eruption 4: 62 - 74 = -12 minutes
Decrease between Eruption 4 and Eruption 5: 80 - 62 = 18 minutes
From the calculations, we can see that the biggest decrease in waiting time occurs between Eruption 4 and Eruption 5, with a decrease of 18 minutes.
Therefore, the biggest decrease in waiting time between two consecutive eruptions is 18 minutes.
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In order to assign the biggest decrease to the biggest decrease in waiting time between consecutive eruptions, calculate the difference in waiting times for each pair of eruptions, and the biggest decrease will be the largest difference you find.
Explanation:To assign the biggest decrease to the biggest decrease in waiting time between two consecutive eruptions, you need to first identify the waiting times between each pair of consecutive eruptions. Then, calculate the difference in waiting times between each pair. For example, if the third eruption occurred after 74 minutes and the fourth after 62 minutes, the decrease in waiting time was 74 - 62 = 12 minutes. You repeat this process for all pairs of consecutive eruptions, and the biggest decrease in waiting time will be the largest difference you calculate.
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For what values of a are the following expressions true?
| a + 5 | = -5 - a
Answers
Answer:
not sure if there are more but a=-5
Step-by-step explanation:
|a+5|=-5-a
|-5+5|=-5 - - 5
|-5+5| = -5 + 5
| 0 | = 0
0=0
Answer:
5-5=0+5=5 so the answer is five