Find the limit. lim t→0+ =< (√²+4₂ √t +4, sin(t), 1, 2³²-1) e³t t V
Answers
We have: lim t→0+ (√(t²+4), √t + 4, sin(t), 1, 2³²-1) e³t / t√t = (2, 6, 0, 1, 2³²-1) * (1/0).Since the denominator is 0, the limit is undefined or approaches infinity, depending on the specific values of the components.
To find the limit as t approaches 0 from the right of the given expression: lim t→0+ (√(t²+4), √t + 4, sin(t), 1, 2³²-1) e³t / t√t, we can evaluate each component separately. For the first component (√(t²+4)), as t approaches 0 from the right, the expression under the square root becomes 4. Therefore: lim t→0+ (√(t²+4)) = √4 = 2. For the second component (√t + 4), as t approaches 0 from the right, the square root term approaches 2, and we add 4 to it. Thus: lim t→0+ (√t + 4) = 2 + 4 = 6.
For the third component (sin(t)), the sine function oscillates between -1 and 1 as t approaches 0 from the right. Therefore: lim t→0+ (sin(t)) = sin(0) = 0. For the fourth component (1), it is a constant, so the limit is simply 1: lim t→0+ (1) = 1. For the fifth component (2³²-1), it is also a constant: lim t→0+ (2³²-1) = 2³²-1. For the exponential component (e³t), as t approaches 0 from the right, the exponent becomes 0, and the exponential term simplifies to 1: lim t→0+ (e³t) = e³(0) = 1.
Finally, for the denominator (t√t), as t approaches 0 from the right, both t and √t approach 0, and the denominator becomes 0. Therefore: lim t→0+ (t√t) = 0. Putting all the components together, we have: lim t→0+ (√(t²+4), √t + 4, sin(t), 1, 2³²-1) e³t / t√t = (2, 6, 0, 1, 2³²-1) * (1/0). Since the denominator is 0, the limit is undefined or approaches infinity, depending on the specific values of the components (2, 6, 0, 1, 2³²-1).
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Related Questions
11x-11y=10
What are the x and y intercepts said
Answers
Answer: Intercepts are points where a graph crosses over an axis
Step-by-step explanation: the x-intercepts are points where the graph intercepts the x-axis. These are also referred to as roots or zeroes of a function
The y-intercepts are points where the graph intercepts the y-axis. Fuctions only have one y-intercept
Calculate an estimate of the mean length of the insects he found. Give your answer in millimetres (mm). ack to task Length (mm) 0≤x≤ 10 10≤x≤20 20 0
Answers
Answer:
To calculate the mean length of the insects found, we can use the following formula:
Mean length = (Sum of lengths) / (Number of lengths)
We can calculate the sum of lengths by adding up the lengths of all the insects and dividing by the number of insects:
Sum of lengths = Length (0) + Length (10) + Length (20)
Sum of lengths = 0 mm + 10 mm + 20 mm
Sum of lengths = 30 mm
Number of lengths = 3
Mean length = Sum of lengths / Number of lengths
Mean length = 30 mm / 3
Mean length = 10 mm
Therefore, the mean length of the insects found is 10 mm.
please help me with this also please be nice to others and yourself. have a great day
Answers
Answer:
$1.20
Step-by-step explanation:
This time I'm not going to explain in words (I gave a very wordy explanation in the last answer that will basically give you the same information that I would give you for this question) but I will show the work in numbers.
3.60/3 = 1.20
7.20/6 = 1.20
10.80/9 = 1.20
Does this set of ordered pairs form a function?
{(60, reading), (62, camping), (64, skiing), (65, hiking), (66, hiking), (67, camping), (69, reading), (70, reading), (71, camping), (73, swimming), (74, camping)}
A. yes
B. no
Answers
Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:
A. yes.
When does a relation represent a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
The input is a number.The output is an activity.There are no repeated inputs, hence the relation is a function and option A is correct.
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A sequence is defined below.
What is the 6th term of this sequence?
a1 = = 5
an = an-1 +4
Answers
The 6th term of this sequence is 25.
How do you explain the arithmetic sequence?An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k. For instance, a1 = 25 and a(n) = a(n-1) + 5.Using the method for locating the nth term, we may locate a particular term in an arithmetic series. Step 1: An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. Therefore, enter the numbers a = 2 and d = 3 into the formula to determine the nth term.The difference between each successive term in an arithmetic series is always the same. An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.Given data :
The first term (a₁) is 5 and the nth term will be given as
\(a_{n} = a_{n - 1} + 4\)
Then the second term will be
a₂ = a₁ + 4
a₂ = 5 + 4
a₂ = 9
Then the third term will be
a₃ = a₂ + 4
a₃ = 9 + 4
a₃ = 13
Then the fourth term will be
a₄ = a₃ + 4
a₄ = 13 + 4
a₄ = 17
Then the fifth term will be
a₅ = a₄ + 4
a₅ = 17 + 4
a₅ = 21
Then the sixth term will be
a₆ = a₅ + 4
a₆ = 21 + 4
a₆ = 25
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Lea
owhs 800 shares of ABC, Incorporated. On April 6, the corporation Instituted a 5-for-2 stock split. Before the split, each share was worth $42.60.
a. How many shares did Lea hold after the split?
b. What was the post-split price per share?
c. Show that the split was a monetary non-event for Lea. Pre-split and post-split market values=
Answers
Answer:
2000
Step-by-step explanation:
Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000
Solve the system of equations using elimination. SHOW WORK!!!!!!!!!!!!!
15q – 4r = 62
5q + 8r = 86
Answers
q= 6
r= 7
work--
Multiply 1st column by -2:
-30q+8r=-124
5q+8r=86
Subtract 2nd column from the first column:
-35q= -210
Solve for q:
q=6
Subtract q=6 by any of the two equations, so:
-30q+8r=-124
-30*6+8r=-124
Solve for r:
r=7
what is the slope of (-3,-5) (-2,-2)
Answers
Answer:
m=3
Step-by-step explanation:
como se hace esta hecuasion 4x + 2y = -2
Answers
Answer:
Depende de la variable que intente resolver.
Step-by-step explanation:
Si estás resolviendo y:
4x + 2y = -2
2y = -2 - 4x
y = (-2 - 4x)/2
Si estás resolviendo x:
4x + 2y = -2
4x = -2 - 2y
x = (-2 - 2y)/4
Brittney sewed together fabric triangles to make the quilt square shown below.
How much fabric did Brittney use for each white triangle?
Answers
Answer:
6 in. per triangle & 24 in total (white squares only)
Step-by-step explanation:
So, one side is 12 inches and each side is made up of one blue and one white. With this you can just divide each side by 2, getting 6. There are 4 sides so,
4 sides X 6 in. per each square= 24
Therefore, she used 24 in. in total and 6 for each triangle.
Hoped this helped!
(a) what is the probability that the first sample following the mean shift produces a statistics that plots inside the control limits?
Answers
The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)
= [ 1-(1-β) ]^{m-1} ( 1-β )
=β ^{m-1}( 1-β )
the anticipated number of subgroups to be examined before the shift is seen
ARL=1/{1-β}
Shift not detected on the first sample following the shift:
Pr = 1-(1-β) = β
Pr n successive samples that are outside of the control limits
= ( 1- β )^{n}
f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.
=[1- ( 1- β )]^{n}
=β^{n}
Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )
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Write the ratio as a fraction, in simplest form. (do not label)
60 teachers to 1,800 students
Answers
Answer:
1/30
Step-by-step explanation:
Plz help me will give crown.
Answers
the answer is -2/5 hope this helped
I WILL GIVE 50 POINTS AND BRAINLIEST
Select the correct answer.
Bryan works as a florist. The number of bouquets he makes is given by the equation , where b is the number of bouquets and h is the number of hours. How many hours would it take him to make 6 bouquets?
A.
6
B.
8
C.
12
D.
18
E.
24
Answers
Answer:
C. 12
Step-by-step explanation:
Answer:
The answer is c. 12
Step-by-step explanation:
Did the test got it right
Joel wants to buy a new tablet from a store having a 20% off sale. The tablet he wants has an original cost of $190.
Which expressions would represent the sale price?
A. 0.80p
B. p + 0.20p
C. 1.20p
D. p - 0.20p
Answers
Answer:
D. p - 0.20p
Step-by-step explanation:
A wire is used to anchor a 20-foot-tall pole. One end of the wire
is attached to the top of the pole. The other end is fastened to a
stake five feet away from the bottom of the pole. Find the length
of the wire.
Answers
The length of the wire attached to the pole is 20.62 feet
What is the length of the wire?The pole is perpendicular to the ground in the direction of the point where the wire is attached to the ground to form a right angle triangle.
A leg of the triangle is 20 feet(length of the pole from the surface of the ground to the top)
The other leg is5 feet(distance from the base of the pole to the point where the wire is attached to the ground)
The third side of the right angle triangle is the hypotenuse(length of the wire)
Applying Pythagoras theorem;
Hypotenuse² = Opposite² + Adjacent²
= 20 feet ² + 5 feet²
= 400 + 25
Hypotenuse² = 425
Find the square root of both sides
Hypotenuse = √425
= 20.6155
Approximately,
Hypotenuse = 20.62 feet
In conclusion, the hypotenuse side of the right angle triangle is 20.62 feet
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need help asap. low geometry grade
Answers
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
Analyze the table representing five experiments with an increasing number of trials. The table shows the frequency of a coin landing heads up or tails up.
A 4-column table with 5 rows. Column 1 is labeled Experiment with entries 1, 2, 3, 4, 5. Column 2 is labeled Trials with entries 20, 40, 60, 80, 100. Column 3 is labeled Heads with entries 12, 25, 20, 35, 48. Column 4 is labeled Tails with entries 8, 15, 40, 45, 52.
What can you predict regarding the probability of the coin landing heads up?
A. The frequency does not change with more trials.
B. The experimental probability increases with more trials.
C. With more trials, the frequency of heads up will equal the frequency of tails up.
D. The frequency of heads up decreases with more trials.
Answers
Answer:
C. With more trials, the frequency of heads up will equal the frequency of tails up.
Step-by-step explanation:
just took the test on edge
Answer:
C
Step-by-step explanation:
Trying to get the right number possible. What annual payment is required to pay off a five-year, $25,000 loan if the interest rate being charged is 3.50 percent EAR? (Do not round intermediate calculations. Round the final answer to 2 decimal places.Enter the answer in dollars. Omit $sign in your response.) What is the annualrequirement?
Answers
To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.
The formula is: A = (P * r) / (1 - (1 + r)^(-n))
Where: A is the annual payment,
P is the loan principal ($25,000 in this case),
r is the annual interest rate in decimal form (0.035),
n is the number of years (5 in this case).
Substituting the given values into the formula, we have:
A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))
Simplifying the equation, we can calculate the annual payment:
A = 6,208.61
Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.
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a student researcher is comparing the wait times between two different dining facilities at ucsb. they found the 95% confidence interval for the difference in mean wait time (in minutes) between facility a and b to be [.32,1.47]. what is the most accurate interpretation of this confidence interval?
Answers
It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.
The most accurate interpretation of the given confidence interval is as follows:
We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.
This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.
Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.
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charles shops at an upscale clothing store. he has been three times this month and each time has noticed a sweater. today, he goes in and finds that he likes this sweater more than he did the first time he saw it. he decides to buy it. what explains charles's increased preference for this sweater?
Answers
The simple "exposure effect" explains why Charles now prefers this sweater more than before.
Define the term exposure effect?Our propensity to form preferences for things only if we are accustomed with them is known as the mere exposure effect.
It also goes by the name of the familiarity principle for this reason.Making poor choices can be a result of the exposure effect alone. Making wise judgments involves weighing all viable options according to their efficacy rather than familiarity.The stated condition is-
Charles purchases apparel from a high-end retailer. He has been there three times during this month and has seen a sweater each time. He enters today and discovers that he now likes that sweater further than he did when he initially saw it. He chooses to purchase it.Thus, the simple "exposure effect" explains why Charles now prefers this sweater more than before.
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Solve the equation.
-5x²15x + 10 = 0
x =
[?] ± √
Be sure to simplify your answer.
Answers
Step-by-step explanation:
is there is any sighn b/n -5x^2 and 15x cause if they r multiplying then it must be writen as -75x^3 but if there isn't
u will say
-75x^3 + 10 = 0
-75x^3 = -10
x^3 = -10/-75
x^3 = 2/15
x = (2/15)^1/3
A study finds that out of every 100 babies born in the world, 5 have some kind of major birth defect. what is the simplest
way to assign random numbers to conduct a simulation based on this statistic?
Answers
The simplest way to assign random numbers to conduct a simulation based on the given statistic is to use a random number generator with a uniform distribution. Generate a random number for each baby born and compare it to a threshold to determine if the baby has a major birth defect.
To conduct a simulation based on the given statistic, where 5 out of every 100 babies have a major birth defect, we need a method to assign random numbers to each baby and determine if they have a birth defect or not.
One straightforward approach is to use a random number generator that produces values uniformly distributed between 0 and 1. For each baby born, generate a random number and compare it to a threshold value. If the generated number is less than or equal to 0.05 (representing the 5% probability of having a birth defect), assign the baby as having a major birth defect. Otherwise, assign the baby as not having a major birth defect.
By using a random number generator with a uniform distribution, we ensure that each baby has an equal chance of being assigned a birth defect or not, consistent with the given statistic of 5 out of 100 babies having a major birth defect.
It's important to note that the random number generator used should be reliable, provide true randomness, and have a uniform distribution to ensure accurate simulation results. There are various random number generation methods and libraries available in programming languages that can be utilized for this purpose.
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Simplify the following ratios
of 350:400
Answers
Answer:
Step-by-step explanation:
The simplest form is 78.
All proofs start as ______.
A.) Constructions
B.) Conjectures
C.) Converses
Answers
Answer: Conjectures.
Step-by-step explanation: A conjecture is an opinion or conclusion formed on the basis of incomplete information. All proofs start as a conjecture until it is proven as a truth (a proof).
All proofs start as Conjectures. Then the correct option is B.
What are Conjectures?A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence.
A conjecture is an opinion or conclusion formed on the basis of incomplete information. All proofs start as a conjecture until it is proven as a truth (a proof).
Hence, the correct answer is option B.
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Write an expression that represents the perimeter of a regular hexagon if EACH SIDE is (3x-4)?
Answers
The expression that represents the perimeter of a regular hexagon is
18x - 24
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
Regular hexagon has all the sides equal in length and it has 6 sides
Perimeter is sum of all sides
Thus,
perimeter of a regular hexagon
= 6* side length
= 6 (3x-4)
Distribute 6
= 18x - 24
The expression that represents the perimeter of a regular hexagon is
18x - 24
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Complete Question:
Write an expression that represents the perimeter of a regular hexagon if each side is (3x-4).
write the opposite to the following:- 50km Towards east
Answers
Answer:
50 kilometres towards west .......
i guess
To get the standard deviation of the sampling distribution for a proportion, we divide by the sample size (n). Describe how dividing by the sample size influences the spread when samples sizes are high vs. when they are low.
Answers
Answer:
Step-by-step explanation:
copy and paste i made a video for you
Do you know these Answers plz??????
Answers
Answer:
d c a
Step-by-step explanation:
Point S is between points R and T on RT. Use the information to write an equation in terms of x. Then solve the equation and find RS, ST, and RT.
RS = 2x - 8
ST = 3x - 10
RT = 17
RS =
ST=
RT=
Answers
Answer:
RS=6
ST=11
Step-by-step explanation:
answer is above
The value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units
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.
It is given that:
Point S is between points R and T on RT.
RS = 2x - 8
ST = 3x - 10
RT = 17
From the above information:
RT = RS + ST
17 = 2x - 8 + 3x - 10
17 = 5x - 18
35 = 5x
x = 35/5
x = 7
RS = 2x - 8 = 2(7) - 8 = 6 units
ST = 3x - 10 = 3(7) - 10 = 11 units
RT = 17 units
Thus, the value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units.
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