5. Find the limits = = 5x2 - 1 lim 1 x + 10 5x2 - 1 lim 1500x2 + 10 5.72 – 1 lim x + 10 1 lim 2013 + 10 = T+ 522 =
Answers
The value of the limit is:
lim(x→a) (5x^2 - 1) / (x + 10)
The limit of a function as x approaches some value. Here's a step-by-step explanation using the given terms:
1. Identify the function: It appears that the function is f(x) = (5x^2 - 1) / (x + 10).
2. Determine the value x is approaching: Since it's unclear what value x is approaching, let's use the symbol 'a' to represent it. We want to find lim(x→a) f(x).
3. Substitute the value of 'a' into the function: Since we don't have a specific value for 'a', let's find the general limit expression:
lim(x→a) (5x^2 - 1) / (x + 10)
4. Analyze the function: As x approaches 'a', we need to check if the function is continuous at that point. If it is continuous, we can directly substitute the value of 'a' into the function.
5. If there is no specific value of 'a' provided, the answer will be expressed in terms of 'a'. In this case, the limit of the function as x approaches 'a' is:
lim(x→a) (5x^2 - 1) / (x + 10)
Without knowing the specific value of 'a', this is the most concise answer I can provide. If you can clarify the question, I'd be happy to help further!
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Related Questions
Is y=4/x-3 linear or non-liner
Answers
Trust me it is
Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour? How much does she earn per hour?
Answers
The proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .
In the question ,
it is given that
Karyn proofreads ⇒15 pages in 2 hours for $40
Karyn in 2 hour proofreads 15 pages ,
So, in 1 hour She will proofread = 15/2= 7.5 pages
and will get $40/2 = $20 for 1 hour ,
hence ,her rate in pages per hour is $20 per 7.5 pages per hour .
In 2 hour Karyn earns $40
So , in 1 hour Karyn will earn $40/2 = $20
hence , she earn $20 per hour .
Therefore , the proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .
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Why do you think the court case about erin's accident turned out the way it did
Answers
This is a complex question that requires a long answer, as there are likely multiple factors that contributed to the outcome of Erin's court case. One possible reason could be the strength of the evidence presented by each side. It's possible that Erin's legal team was able to provide compelling evidence that demonstrated the other party was at fault for the accident, which swayed the jury's decision in her favor. Additionally, the skills and experience of the attorneys involved, as well as the judge presiding over the case, may have also played a role in the outcome. Other factors such as the emotional impact of the accident on those involved, as well as any biases or preconceived notions the jury may have held, could have influenced the final decision. Ultimately, it's impossible to say for certain what specifically led to the outcome of the case without more information, but it's likely that a combination of these and other factors all played a part.
In the court case regarding Erin's accident, the outcome was likely influenced by factors such as the evidence presented, the credibility of witnesses, and the legal arguments made by both sides. Additionally, the judge or jury's interpretation of the relevant laws and regulations played a crucial role in determining the final verdict. Overall, the combination of these elements contributed to the specific outcome of Erin's case.
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On a snow day, Jada created two snowmen in her yard. Snowman A was built to a height of 51 inches and Snowman B was built to a height of 36 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decreased by 6 inches per hour and Snowman B's height decreased by 3 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Graph each function to determine the number of hours after sunrise when both snowmen have an equal height.
Answers
From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The initial height is the intercept.The melting rate, as a negative, is the slope.Hence the functions are given as follows:
A(t) = 51 - 6t.B(t) = 36 - 3t.The functions are graphed at the end of the answer, with A(t) in red and B(t) in blue, and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.
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A dice is tossed 60 times and the number it lands on is
recorded.
Number 1 2 3 4 5 6
Frequency 7 12 10 6 15 10
After being tossed 180 times how many times would you
expect it to land on:
a 4,3, or a even number
Answers
Answer:
That is, you'd expect of the rolls to be 1, of the rolls to be 2, of the rolls to be 3, and so on.
Step-by-step explanation:
consider the funciton f(x)= x*lnx, x>0 cheggs
Answers
The given function, f(x) = x * ln(x), is a product of x and the natural logarithm of x (ln(x)). It is defined for x > 0 since the natural logarithm is not defined for negative values or zero.
Let us analyze the given function:
1. Domain: The domain of f(x) = x * ln(x) is all x > 0 because the natural logarithm is only defined for positive values of x.
2. Range: The range of the function is all real numbers (negative and positive) because the function can have negative values for 0 < x < 1, and positive values for x > 1.
3. Monotonicity: The function is monotonically increasing for x > 1 since both x and ln(x) increase as x increases. For 0 < x < 1, the function is decreasing since x increases and ln(x) decreases.
In summary, the function f(x) = x * ln(x) is defined for x > 0, has a range of all real numbers, and is monotonically decreasing for 0 < x < 1 and monotonically increasing for x > 1.
The correct question should be :
Define the function f(x) = x * ln(x).
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Issac surveyed the employees at the law firm each employee was asked to record their highest level of education completed. Two hundred sixty six woolens completed the survey . How many of those people completed graduate school?
Answers
Complete Question :
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The
results are shown in the table below.
Highest Level of Education Completed
Education Level
Percentage
High School
5%
Community College
10%
Four-Year College
60%
Graduate School
25%
Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answer:
65 people
Step-by-step explanation:
Given the following :
Number of survey participants = 260
Percentage that completed graduate school = 25%
Number of participants who completed graduate school ;
Total Number of participants × percentage that completed graduate school
260 participants × 25%
260 × 0.25
= 65
Answer:
65 people
Step-by-step explanation:
I took the test and that was the correct answer
Paul is moving to Australia. The total weight of his 4 suitcases is shown
on the scale to the right. On a number line, round the total weight to the
nearest 100 kilograms.
(this is 3rd grade math btw)
Answers
Answer:
100
Step-by-step explanation:
Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.
this past sunday the giants scored less than twice the cowboys the packers scored 12 less points than the giants if the teams scored 93 less points find the number of points scored by the packers
Answers
Based on the points scored by the teams, and the relationship between the scores of the Giants, the Cowboys, and the Packers. the points scored by the Packers were 29 points
How to find the score by the Packers?Assuming the points scored by the Cowboys was x then the total points scored by all three teams can be shown as:
x + (2x - 5) + (2x - 5 - 12) = 93
Solving for x then gives:
x + (2x - 5) + (2x - 5 - 12) = 93
5x - 22 = 93
5x = 93 + 22
5x = 115
x = 115 / 5
x = 23 points
The Packers scored:
= 2x - 5 - 12
= 2(23) - 5 - 12
= 29 points
Full question is:
this past Sunday the giants scored less 5 than twice the cowboys the packers scored 12 less points than the giants if the teams scored 93 total points find the number of points scored by the packers.
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if a1=7 and an=an-1+5 than find the value of a5
.
Answers
Answer:
a₅=27.
Step-by-step explanation:
1) according to the condition the given subsequence is arithmetic sequence. It means, the a₁=7 and d=5, then
2) a₅=a₁+4*d; => a₅=7+4*5=27.
find the quotient 1 1/2 divided by 1 5/6
Answers
Answer:
7 Hope that works?
Step-by-step explanation:
11 1/2 divided by 1 5/6 equals
But, 6.27272727273 you can round it to 7
What is the ratio of apples to bananas? 6 bananas and 2 apples. 6 bananas and 2 apples. [show me an apple.] choose 1 answer: choose 1 answer: (choice a) a 2:62:62, colon, 6 (choice b) b 6:26:26, colon, 2 (choice c) c 2:82:82, colon, 8 (choice d) d 8:28:2
Answers
The ratio of apples to bananas, given 6 bananas and 2 apples, is 1:3. The ratio of apples to bananas can be determined by dividing the number of apples by the number of bananas.
In this case, there are 2 apples and 6 bananas. Dividing 2 by 6 gives us the ratio of 1:3. To represent the ratio in the given answer choices:
Choice (a) states 2:6, which is incorrect as it does not match the given quantities.
Choice (b) states 6:2, which is also incorrect as it swaps the quantities. Choice (c) states 2:8, which is incorrect as it changes the quantity of bananas.
Choice (d) states 8:2, which is incorrect as it swaps the quantities. Therefore, the correct ratio of apples to bananas is 1:3, indicating that for every apple, there are three bananas.
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Members of a band class were arguing over which
instruments are played by the best academic students. A
survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA)
between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of
2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9,
and the other 5 had a GPA of 4.0.
h
Answers
The median GPA of the percussionists is 2.8
This question appears incomplete.
Here is the complete question :
Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.
For percussionists, the median GPA is _____.
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Median is a measure of central tendency
Other measures of central tendency include mean and mode.
The GPA of the 3 percussionists are 2.4, 2.8 and 3.2
This data has already been arranged in ascending order.
The number that is in the middle is 2.8
Conversely, if the GPA is arranged in descending order, it is 3.2, 2.8 and 2.4
The number that is in the middle is 2.8
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r is a relation on the set of all nonnegative integers. (a,b) is in r if a and b have the same remainder when divided by 5
Answers
The relation accepts reflexive, symmetry, and transitive.
Recall that a relation R is reflexive if the element (x, x) belongs to R for all elements X in the domain of R.
If (x, y) belongs to R, then follows that (y, x) must likewise belong to R, making the situation symmetric.
And it is transitive if (x, y) and (y, z) belongs to R necessarily implies that (x, z) belongs to R.
Given r is a relation on the set of all nonnegative integers R(a,b)
Reflexive - YES. A given number a will always have the same remainder when divided by 5.
Symmetric - YES. If a and b have the same remainder when divided by 5, then b and a are the same pair, so again they will have the same remainder.
Transitive - YES. If a and b as well as b and c have the same remainder when divided by 5, this is possible if both a and c also have the same remainder when divided by 5.
Therefore the relation accepts reflexive, symmetry, and transitive.
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determine whether the figure has point symmetry, line symmetry, both or neither
Answers
Answer:
Line symmetry
Step-by-step explanation:
If you drew a straight line across the figure horizontally, you would see that both halves are symmetrical.
You want the fastest ride possible for the location you chose. What ending height and slope gives the fastest ride? Be sure to consider the slope constraint, the harness constraint, and the cable starting at a height 16 feet above the ground when finding the ending height and slope. Enter the ending height in second response box. Enter the slope in the third response box.
Answers
To find the fastest ride possible, we need to consider the maximum slope constraint and the harness constraint. The maximum slope constraint is usually around 30 degrees for safety reasons. Therefore, we need to choose an ending height that satisfies this constraint while also ensuring the ride is as fast as possible.
We know that the cable starts at a height of 16 feet above the ground, so the ending height should be higher than this to ensure a downhill slope. Let's assume an ending height of 80 feet.
Using the formula for the slope of a line, which is slope = (ending height - starting height) / cable length, we can solve for the slope. The cable length is the distance between the starting and ending points, which we can assume to be 500 feet.
So, slope = (80 - 16) / 500 = 0.128.
Therefore, the ending height is 80 feet and the slope is 0.128. This slope should give us the fastest ride possible while also ensuring safety constraints are met.
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Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet
longer than it is wide.
Answers
The equation to determine the length and width of the rug is
28 = w² + 12w
Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.
What is a rectangle?
Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
We are given a rectangular rug with an area of 28 square feet.
Also, the rug is 12 feet longer than it is wide.
So,
Let 'l' be the length of the rug and 'w' be the width of the rug
As given, Length is 12 feet longer than its width
Therefore, l = w + 12
We know Area of rectangle = Length * Width and area is given to be 28 square feet.
So,
⇒28 = (w + 12)w
⇒28 = w² + 12w
Hence, the equation to determine the length and width of the rug is
28 = w² + 12w.
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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.
Create an equation to determine the length and the width of the rug.
Find the matrix A′ for T relative to the basis B′
a. T: R2 ⟶ R2, T(x, y) = (2x − y, y − x);B′ = {(1, −2),
(0,3)}
b. T: R3 ⟶ R3, T(x, y, z) = (x, y, z);B′ = {(1,1,0), (1,0,1),
(0,1,1)
Answers
The matrix A' for T relative to the basis B' is:
[[2, -1],
[-1, 1]]
To find the matrix A' for T relative to the basis B', we need to determine how T acts on each vector in B'.
In the given problem (a), T: R2 ⟶ R2, T(x, y) = (2x − y, y − x), and B' = {(1, −2), (0, 3)}.
We can start by applying T to each vector in B' and expressing the results as linear combinations of the vectors in B'.
For the first vector (1, -2):
T(1, -2) = (2(1) - (-2), (-2) - 1) = (4, -3) = 4(1, -2) + (-3)(0, 3)
For the second vector (0, 3):
T(0, 3) = (2(0) - 3, 3 - 0) = (-3, 3) = (-3)(1, -2) + 2(0, 3)
From the above calculations, we can see that T(1, -2) can be expressed as a linear combination of the vectors in B' with coefficients 4 and -3, and T(0, 3) can be expressed as a linear combination of the vectors in B' with coefficients -3 and 2.
Therefore, the matrix A' for T relative to the basis B' is:
[[4, -3],
[-3, 2]]
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What are the steps to verify trigonometric identities?
Answers
Answer:Here you go
Step-by-step explanation:
Change everything into terms of sine and cosine.
Use the identities when you can.
Start with simplifying the left-hand side of the equation, then, once you get stuck, simplify the right-hand side. As long as the two sides end up with the same final expression, the identity is true.
Alton estimated that 240 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error.
8%
17%
20%
40%
Answers
Answer: 20% would be the answer
Brainliest and Thanks
100 points
The spinner below shows 10 equally sized slices. Charmaine spun the dial 40 times and got the following results.
Outcome Grey White Black
Number of Spins 25 9 6
Fill in the table below. Round your answers to the nearest thousandth.
(a) From Charmaine's results, compute the experimental probability of landing on white.
(b) Assuming that the spinner is fair, compute the theoretical probability of landing on white.
(c) Assuming that the spinner is fair, choose the statement below that is true:
1. The experimental and theoretical probabilities must always be equal.
2. As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
3. As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
Answers
I’m confused about (b) because the spinner has 10 sections but there has only been 3 outcomes. If the spinner has 3 sections the changes of white would be 0.333.
2. Is correct, the more times you spin the closer you’ll get to the theoretical probability.
Answer:
9/40= 0.225 (experimental probability for white)
(b) because the spinner has 10 sections but there has only been 3 outcomes. If the spinner has 3 sections the changes of white would be 0.333.
2. Is correct, the more times you spin the closer you’ll get to the theoretical probability.
Step-by-step explanation:
The cost of a bicycle wheel was $85 last week. This week, the cost fell to $67. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
HELPPPPPPPPPPPPP!!!!!!!
Answers
Answer:
21.20%
Step-by-step explanation:
85-67=18
18/85=0.2112
0.2112x100 = 21.20
140 with the power of 1/8 in radical form
Answers
Answer:
The answer is 8√140.5
Step-by-step explanation:
of people of the same sex and similar ages follow a Normal distribution reasonably closely. Weights, on the other hand, are not Normally distributed. The weights of women aged 20–29 in the United States have mean 161.9 pounds and median 149.4 pounds. The first and third quartiles are 126.3 pounds and 181.2 pounds, respectively. What can you say about the shape of the weight distribution? Why?
Answers
Answer:
Right-skewed
Step-by-step explanation:
The shape of the weight distributed is skewed, because the mean and the median are not equal.
Moreover, the distribution is right-skewed because the mean is greater than the median and because the mean is influenced by the tail of large values.
TRUE / FALSE. 1:24,000 is an example of a verbal statement. group of answer choices
Answers
Answer:
False.
Step-by-step explanation:
The statement "1:24,000" is not an example of a verbal statement. It is a numerical ratio or scale commonly used in cartography and map scales. Verbal statements typically involve spoken or written language rather than numerical representations. :)
The ratio of green M & M's to yellow is 2:5
a. If there are only green and yellow M & M's in the bag, what is the smallest number of M & M's possible?
b. If there are 84 total green and yellow M & M's in the bag, how many are green?
c. If red M & M's were added to the bag in part b to get a total of 100, what is the ratio of green to yellow to red in simplest form? (enter ratio as green:yellow:red)
:
:
Answers
a. The smallest number of M & M's possible is 14.
b. The number of green is 24.
c. The ratio of green to yellow to red in 6: 15: 25.
How to calculate the value?a. When there are only green and yellow M & M's in the bag, the smallest number of M & M's possible will be:
= (2 × 2) + (2 × 5)
= 4 + 10
= 14
b. If there are 84 total green and yellow M & M's in the bag, the number of green will be:
= 2 / (2 + 5) × 84
= 2/7 × 84
= 24 green
c. If red M & M's were added to the bag in part b to get a total of 100, the ratio of green to yellow to red in simplest form will be:
= Green : Yello : Red
= 24 : 60 : 100
= 6 : 15 : 25
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Mya tests out her new drone by sending it farther and farther away before dropping it to the ground. These distances follow the arithmetic sequence 11 m, 22 m, 33 m, ..., 77 m. What is the total distance that Mya's drone travels during the tests?
Answers
Answer:
308m
Step-by-step explanation:
11+22+33+44+55+66+77=308
Find the value of x. Justify your answer.
Answers
Answer:
x = 8
Step-by-step explanation:
Because the figure in the circle is a square, which has the property of possessing equal sides.
Therefore, the value of x is equal to 0.
i really need help with this please!! i need it by 12:00 tonight
Answers
Please help will mark brainliest
Answers
So , correct option is A
I hope you can see the above image.
