Answer:
56
Step-by-step explanation:
The mode of a data set is the number that appears the most, which in this situation would be 56
:D
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]
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! :)
Does the ordered pair (3, 5) make the inequality x−3>2y true or false?
Answer:
Step-by-step explanation:
first let : x = 3 and y = 5
so x-3 means 3-3 = 0
and 2y means 2 * 3 = 6
therfore x-3 > 2y means 0 > 6, false
please answer with steps
txt: identify the domain and range of the following relation and determine if the relation is a function. Explain why or why not.
We need to know about relation and function to solve the problem. The domain of the relation is {-4,2,7,10} and the range is {-4}. The relation is a function.
Relation is a subset of Cartesian product or we can say that it is a set of points. It can also be described as a collection of ordered pairs.Function is a relation which follows that each input should have only one output. The domain of a relation or function is the set of values that the relation can accept, the range of a relation is the set of values that can be an output of the function or relation. The x values are the inputs and form the domain whereas the y values give the range. In the given relation the domain of the relation is {-4,2,7,10} and the range of the relation is {-4} since there is only one ouput value. The relation is a function since every input has only one output.
Therefore the domain of the relation is {-4,2,7,10} and the range is {-4} and the relation is function.
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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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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 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.
ways to show 2 times 43 times 19
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
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
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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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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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
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.
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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What is the volume of this rectangular prism? 5 4 cm 4 3 CT | C 3 5 cm cm
A survey was recently qupted to support the news that the number of trees in the untied states is increasing?
A recent survey that was quoted to support the news that the number of trees in the united states is increasing is a self-interest study.
From the additional research, it was found that a logging company fully funded the survey. Self-interest studies are referred to as action that stimulates personal benefits, it helps the sponsor enjoy economic or other gains from the outcomes. A logging company that fells trees and timber so, they are more interested in the number of trees, even they have an interest in directing the people of a country that depleted numbers of trees are not being by their efforts in logging. So performing such kind of survey is own self-interest.
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Randy Johnson, a hall-of-fame baseball pitcher, could throw a baseball 100 miles per hour. How fast could he
throw the baseball in feet per second? Show the work that leads to your answer. (HINT: There are 5,280 feet
in a mile.)
Answer:
Answer:
I believe its 0.681818 feet per second.
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!
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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11+{19+6}={11+___}+6
Answer:
Step-by-step explanation:
11+(19+6)= (11+19)+6 so it's the associative property
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
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=$145.24
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Line pq is represented by the equation y=-x+2 determine the equation, in slope-intercept form, of the line zw that is perpendicular to line pq and passes through the point z (11,11)
The equation, in slope-intercept form, of the line zw is y = x.
It is given that, equation of the line pq is:-
y = -x + 2
Also, line pq is perpendicular to line zw
zw passes through the point z (11,11).
We have to find the equation, in slope-intercept form, of the line zw.
The slope intercept form of a line is:-
y = mx + b
Where,
m represents slope of the line,
(x,y) represents every point on the line
b represents the y-intercept of the line
We know that, when two lines are perpendicular, the product of slopes of the lines is -1.
Let the slope of the line zw be m.
Hence,
m*(-1) = -1
m = 1
As it passes from the point z(11,11).
Hence, we can write,
11 = 1(11) + b
11 = 11 + b
b = 0
Hence, the slope intercept form of the line zw is y = x .
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5. Which value of a satisfies this equation? x + 7 = 28
A) x = 35
B) x = 21
C) x=4
D)x = 14
Answer:
21
Step-by-step explanation:
Subtract 7 from both sides to get the answer.
please help with this question. n refers to the number of sides.
Answer:
n = 18
Step-by-step explanation:
The sides in a regular polygon are equal in length.
⇒ BC = CD
If BC = CD then ΔDCB is an isosceles triangle.
As the base angles of an isosceles triangles are equal:
⇒ ∠DBC = ∠BDC = 10°
Interior angles in a triangle sum to 180°.
⇒ ∠DBC +∠BDC + ∠DCB = 180°
⇒ 10° + 10° + ∠DCB = 180°
⇒ 20° + ∠DCB = 180°
⇒ ∠DCB = 180° - 20°
⇒ ∠DCB = 160°
Therefore, the interior angle of the regular polygon is 160°.
The interior angles of a regular polygon are equal in size.
[tex]\boxed{\begin{minipage}{5.2 cm}\underline{Interior angle of a polygon}\\\\$\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.
7 gifts are to be distributed among 10 children. how many distinct results are possible if no child is to receive more than 1 gift?
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
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! =^.^=