Answer:
see attached for the tablelimit is 3Step-by-step explanation:
You want a table of values of the function sin(3x)/x as x nears zero, and an estimate of the limit of the function value as x → 0.
Table of valuesThe function f(x) = sin(3x)/x is an even function. That is ...
f(-x) = sin(-3x)/(-x) = -sin(3x)/-x = sin(3x)/x = f(x)
When f(-x) = f(x), the function is even. It is a reflection of itself across the y-axis. This means all of the function values for negative x-values are the same as for the corresponding positive x-values. We only need to fill in half the table to know what the other half looks like.
See the attachment for values calculated by a spreadsheet and rounded to 8 decimal places.
LimitThe table shows the difference from 3 gets smaller as x gets closer to 0. If we add more rows to the spreadsheet table (2nd attachment), we see that the value gets even closer to 3 as x nears zero. At x = 10^-7, we run up against the accuracy limits of the spreadsheet.
The limit of the expression is 3 as x approaches 0.
helppppspsosoosooooooooppo please I need to finish thsi
Answer:
The answer is correct.
Step-by-step explanation:
Negative means Below
Positive means above
In the formula for calculating the standard deviation, what does the letter n represent? a. summation b. sample size c. mean score for group d. individual score
The correct option is (b) sample size.
In the formula for calculating the standard deviation, the letter n represent sample size.
What is standard deviation?
Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.
Some key features regarding the standard deviation are-
The higher the standard deviation of a security, the larger the variance between every price and the mean, indicating a wider price range.A volatile stock, for example, has a high standard deviation, whereas a stable blue-chip stock has a low deviation.A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:
Standard Deviation = [tex]\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }[/tex]
Where,
[tex]x_{i}[/tex]= value of the i th point the the given data set.
[tex]barx[/tex]= mean value
n = total number of data points.
Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.
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What sentence represents the number of test questions in the problem
below?
A test is worth 50 points. Multiple-choice questions are worth point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice questions plus the number of
short-answer questions is 50.
B. The number of multiple-choice questions minus the number of
short-answer questions is 50.
• C. The number of multiple-choice questions times the number of
short-answer questions iS 20.
D.
The number of multiple-choice questions plus the number of
short-answer questions is 20.
Answer:
D
Step-by-step explanation:
The number of questions is 20; it's the total points that are worth 50 and the question is asking for number of questions
will mark brainlest
Answer:
Step-by-step explanation:
1. a. coordinates of polygon B: (-2, 1), (-4, 1), (-2, 3), (-4, 4)
b. coordinates of polygon C: (-2, -1), (-4, -1), (-2, -3), (-4, -4)
c. coordinates of polygon D: (-2, 1), (-4, 1), (-2, 3), (-4, 4) -> same as polygon B because you after reflecting B to C, they are asking you basically reflect it back to B
2. C (-2, -1)
A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
A surveyor asks a friend her opinion and then asks for the names of five friends for obtain additional opinions. This is an example of _____ sampling.
A surveyor asks a friend her opinion and then asks for the names of five friends for obtain additional opinions. This is an example of convenience sampling.
What is sampling?Sampling is the process of choosing the group from which you will actually collect data for your study. For instance, you could interview a sample of 100 students if you were examining the viewpoints of students at your university. With the help of sampling, you can test a statistical hypothesis on the features of a population.
An elementary illustration of a convenience sampling technique is when businesses hand out their marketing materials and conduct interviews with randomly chosen participants at a mall or on a busy street.
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Amanda tutors English. For each hour that she tutors, she earns 40 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H. Then use this equation to find Amanda's earnings after tutoring for 11 hours.
Amanda's earnings for 11 hours: dollars
Answer:
e = 40h
After eleven hours, she will earn $440.00
Step-by-step explanation:
Let e = earnings
Let h = hours
e = 40h She earns 40 for every hours that she tutors. If she tutors for 11 hours, you would substitute aa for h to calculate her earnings.
e = 40(11)
e = 440
Prism L has length 8 cm.
Prism M has length 20 cm.
Prism M has a volume of 1875 cm3
Work out the volume of prism L.
The volume of prism L is 750 cm³
What is a prism?A prism is a three-dimensional solid, that has two identical bases, rectangular or parallelogram-shaped faces, and the same cross-section.
The formula for the volume of a prism is V=Bh,
where B = base area and h = height.
We have,
Two similar prism
Prism L:
Length = 8 cm
Prism M:
Length = 20 cm
Volume = 1875 cm³
Applying the volume formula:
V = Bh
Base area = Length x width
1875 = Length x width x height
1875 = 20 x width x height
Width x height = 1875 / 20 = 93.75 _______(1)
Since prisms are similar we can use (1) in finding the Volume of prism L.
The volume of prism L:
= Length x width x height
= 8 x 93.75
= 750
Thus the volume of prism L is 750 cm³
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The complete question is:
L and M are two mathematically similar prisms.
Prism L has a length 8 cm.
Prism M has a length 20 cm.
Prism M has a volume of 1875 cm3
Work out the volume of prism L.
What is the volume of this rectangular prism? 5 4 cm 4 3 CT | C 3 5 cm cm
ways to show 2 times 43 times 19
does pie ever end?
the question is the 3.14 i know the answer i just want to see if you get it right
Answer:3.141598
Step-by-step explanation: that is all I can remember on the top of my head
The most common triathlon distance for bicycle route is 40 kilometers.
There are approximately 1.6 km in 1 mile. How many miles is the bicycle route of 40?
The cycle route for the triathlon is of 26 miles
A triathlon is an athletic event which involves races which involves of swimming, cycling, and running over various distances
According to the given data,
The most common triathlon distance for Bicycle route is 40 kilometers
1 mile = 1 .6 kilometer
Now we know that 1.6 kilometer is 1 mile
So we are required to convert kilometers of triathlon race into miles
Therefore, 40 kilometers in mile will be= 40/1.6 = 25 miles
Hence the cycle route is of 26 miles .
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Mr. drew wants to build a square sandbox with an area of 64 square feet. what is the total length of wood mr. drew needs to make the sides of the​ sandbox?
Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.
What do we mean by square shape?A square is a regular quadrilateral in Euclidean geometry, which means it has four equal sides and 4 equal angles (90-degree angles, /2-radian angles, or right angles). It can also be described as a rectangle with two adjacent sides of equal length. It is the only frequent polygon with internal, central, and external angles that are all equal (90°) and diagonals that are all identical in length. ▢ABCD denotes a square with vertices ABCD.So,
A square with an area of 64ft² has sides that are √64 = 8 ft long.Because there are four of them, the perimeter is 8 × 4 feet = 32 feet.Therefore, Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.
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A jet left the airport flying north one hour
before an Air Force plane. The Air Force
plane flew in the opposite direction going
55 mph slower than the jet for ten hours
after which time the planes were 9845 mi.
apart. What was the jet's speed?
Answer:I think the answer would be 179 mi.
Step-by-step explanation:9845 divided by 55 is equal to 179
Luis is paid 245 per week plus a 12.5% commission on all sales over $500.his sales last week were totaled 1,340. What is his total earnings
Answer: 12.5% of 1,340 is 167.5 so Luis made $412.50
helppppp1!!\
(2x+4)=-4(-2x-6)
Answer:
x=-10/3
Step-by-step explanation:
(2x+4)=-4(-2x-6)
distribute -4 to (-2x-6) by multiplying
negative multiplied by a negative is a positive
8x+24=2x+4
subtract 24 from each side
8x=2x-20
subtract 2x from each side 6x=-20
divide both sides by 6
-20/6
simply to -10/3 or -3 1/3 or -3.3
x=-10/3
hope this helps! if you have any questions please ask!
A technical analyst would consider a put call ratio of ____ as a bearish indicator.
a. 40 percent
b. 30 percent
c. 50 percent
d. 60 percent
A technical analyst would consider a put call ratio of 30 percent as a bearish indicator.
What in SAPM is technical analysis?
Technical analysis is a type of security analysis that makes use of price and volume data, which are often graphical represented in charts. To provide investing advice, the charts are examined using a variety of indicators.Which technical metric is regarded as bullish?
One technical indicator that gauges the discrepancy between current prices and historical prices is the Channel Commodity Index (CCI). Its reading ranges from 100 to -100. Prices are viewed as bullish when CCI shifts from the negative to close to 100.Learn more about technical analysis
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How much will a person pay for 6.8 pounds of bananas at a price of $0.79 per pound?
Answer:
A person will pay $5.37
Step-by-step explanation:
6.8 pounds of bananas x $0.79 per pound = $5.37.
I hope this helps and have a blessed day! :)
21 = 3p - 6.
O A) 5
O в) 9
O C) 13
O D) 24
Answer: b) 9
Step-by-step explanation: if you take 3 * 9 it = 27 take that minus 6 that = 21
The vertical asymptote of the function = ln(x-6) + 5 is:
O A. x = -6
B. x = -5
O C. x = 6
D. x = 5
The vertical asymptote of the function = ln(x-6) + 5 is option C: x = 6.
The given function is f(x) = ln(x - 6) + 5.
A vertical asymptote is a vertical line that a function approaches but never crosses as it approaches infinity or negative infinity. For a logarithmic function like ln(x), the domain of the function is restricted to positive values only since the natural logarithm is undefined for non-positive arguments.
In the given function, we have f(x) = ln(x - 6) + 5. To find the vertical asymptote, we need to identify the value of x that would make the argument of the natural logarithm equal to zero.
Let's set the argument of the natural logarithm to zero:
x - 6 = 0
Now, solve for x:
x = 6
Thus, the value of x that would make the argument of the natural logarithm zero is x = 6.
So, the correct answer is option C: x = 6.
This means that the vertical asymptote of the function f(x) = ln(x - 6) + 5 is the vertical line x = 6. As x approaches 6 from either side (but never equaling 6), the function's values approach infinity. Similarly, as x approaches negative infinity, the function's values also approach infinity. The function never crosses the vertical line x = 6.
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a guest total is $5.45 and they give you $10 how much change do you owe them
Answer: $4.55
Step-by-step explanation:
Just subtract $10.00 from $5.45 and you will get $4.55
Answer:
$4.55
Step-by-step explanation:
To find the change, we have to subtract the money they give you ($10) with the guest total ($5.45).
10 - 5.45
= $4.55
$4.55 is your answer.
Take care and have a lovely rest of your day! :)
please help with this question. n refers to the number of sides.
Answer:
n = 18
Step-by-step explanation:
The sides in a regular polygon are equal in length.
⇒ BC = CD
If BC = CD then ΔDCB is an isosceles triangle.
As the base angles of an isosceles triangles are equal:
⇒ ∠DBC = ∠BDC = 10°
Interior angles in a triangle sum to 180°.
⇒ ∠DBC +∠BDC + ∠DCB = 180°
⇒ 10° + 10° + ∠DCB = 180°
⇒ 20° + ∠DCB = 180°
⇒ ∠DCB = 180° - 20°
⇒ ∠DCB = 160°
Therefore, the interior angle of the regular polygon is 160°.
The interior angles of a regular polygon are equal in size.
[tex]\boxed{\begin{minipage}{5.2 cm}\underline{Interior angle of a polygon}\\\\$\dfrac{(n-2) \times 180^{\circ}}{n}$\\\\where $n$ is the number of sides.\\ \end{minipage}}[/tex]
To find the number of sides, equate the formula to the found value of the interior angle and solve for n:
[tex]\begin{aligned}\implies\dfrac{(n-2) \times 180^{\circ}}{n} & =160^{\circ}\\(n-2) \times 180^{\circ} & =n \times 160^{\circ}\\ 180(n-2) & = 160n\\180n-360 & = 160n\\180n & = 160n+360\\180n-160n & = 360\\20n & = 360\\n &= \dfrac{360}{20}\\n & =18\\\end{aligned}[/tex]
Therefore, the regular polygon has 18 sides.
Solve 5/8(x+4)=0.25.
Use fractions to solve
and write your answer.
as a mixed number.
Answer: x = 3.6
Step-by-step explanation:
Combine multiplied terms into a single fraction
\frac{5}{8}(x+4)=0.25
\frac{5(x+4)}{8}=0.25
2 Distribute
3 Multiply all terms by the same value to eliminate fraction
4 denominators
5 Cancel multiplied terms that are in the denominator
6 Multiply the numbers
7 Subtract 20 from both sides
8 Simplify
9 Divide both sides by the same factor
10 Simplify
if theirs anything else you nead help with please asck
YW please mark branlest! =^.^=
Find the general solution of the given higher-order differential equation. y(4) y''' y'' = 0
The homogeneous linear ODE
[tex]y^{(4)} + y''' + y'' = 0[/tex]
has characteristic equation
[tex]r^4 + r^3 + r^2 = r^2 (r^2 + r + 1) = 0[/tex]
with a double root at [tex]r=0[/tex] and two complex roots
[tex]r^2 + r + 1 = 0 \implies r = -\dfrac{1 \pm i\,\sqrt3}2[/tex]
Hence the characteristic solution is
[tex]y = C_1 e^{0x} + C_2x e^{0x} + C_3 e^{((-1/2)-i(\sqrt3/2))x} + C_4 e^{((-1/2)+i(\sqrt3/2))x}[/tex]
[tex]y = C_1 + C_2x \\\\ ~~~~~~~~~~ + C_3 e^{-x/2} \left(\cos\left(\dfrac{\sqrt3}2x\right) - i\, \sin\left(\dfrac{\sqrt3}2x\right)\right) \\\\ ~~~~~~~~~~ + C_4 e^{-x/2} \left(\cos\left(\dfrac{\sqrt3}2x\right) + i\,\sin\left(\dfrac{\sqrt3}2x\right)\right)[/tex]
[tex]y = C_1 + C_2x + C_3 e^{-x/2} \cos\left(\dfrac{\sqrt3}2x\right) + C_4 e^{-x/2} \sin\left(\dfrac{\sqrt3}2x\right)[/tex]
Please help, picture attached below
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation?
4x=5-2y
y-2x=7
OA 7-2z
OB. 4z - 5
OC. 5-4
OD. 2x + 7
Reset
Next
The correct option is D. 2x + 7 is used for solving the equation by substitution.
What is defined as the substitution method?The substitution method is a straightforward method for algebraically solving a system of linear equations and determining variable solutions. It entails determining the value of x-variable in aspects of y-variable using the first equation and afterwards substituting or fixing the value of x-variable with in second equation, as the name implies.The following are the two given equations;
4x = 5 - 2y .......equation 1
y - 2x = 7 .......equation 2;
using substitution mean put the value of one variable from 1 equation into the other.
Consider equation 2;
y - 2x = 7
y = 2x + 7
Put this in equation 1;
4x = 5 - 2y
4x = 5 - 2(2x + 7)
Simplifying;
4x = 5 - 4x - 14
4x = 9 - 4x
8x = 9
x = 9/8
Therefore, the value of x is obtained as 9/8 for which the equation used is (y = 2x + 7).
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11+{19+6}={11+___}+6
Answer:
Step-by-step explanation:
11+(19+6)= (11+19)+6 so it's the associative property
Please show how f(x)=(2x+3)/(x-2) is continue in the interval ]2,infinity[
Answer:
See below
Step-by-step explanation:
A function is continuous within an interval if its first derivative exists
[tex]\text{The first derivative of }\dfrac{2x+3}{x\:-\:2} = \dfrac{d}{dx}\left(\dfrac{2x+3}{x\:-\:2}\right) = -\dfrac{7}{\left(x-2\right)^2}[/tex]
Let's call this first derivative g(x)
g(x) is defined at all values of x except at x=2 since at this value the denominator becomes 0 and g(x) is not defined.
So the function has a discontinuity at x = 2
But in the interval (2, ∞ ) the function g(x) always has a real value so f(x) is continuous in that interval
does someone mind helping me with this? Thank you!
Answer:
[tex]{ \tt{ \angle4 + \angle3 = 180}} \\ { \boxed{ \tt{ \angle3 \equiv \angle7}}} \\ { \tt{\angle4 + 114 = 180}} \\ { \tt{\angle4 = 180 - 114}} \\ { \underline{ \tt{ \: \angle4 \: = 66 \: }}}[/tex]
A credit card has a 32.99% APR, a minimum monthly payment of 5.25%, and a current monthly statement balance of $2,064.92. If there are $812.61 in purchases and a payment of $185.00 in the next month, what will be the next minimum monthly payment? Show your work.
The next minimum monthly payment is expected to be $145.24
What is the balance on the credit card before interest is computed?
First and foremost, we need to determine the credit card balance after the purchases and payment for next month are considered
balance after purchases and payment=$2,064.92-$185.00+$812.61
balance after purchases and payment=$2,692.53
interest for next month=$2,692.53*32.99%/12
interest for next month=$74.02
minimum monthly payment=($2,692.53+$74.02)*5.25%
minimum monthly payment=$145.24
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