Answer:
16
Step-by-step explanation:
separate into 4 triangles. 2x1= 2
triangle area formula= 1/2 l x w
3x4=12 12+4 is 16
can you give an example of a convergent series exn and a divergent series eyn such that e (xn yn) is convergent? explain.
An example of a convergent series (exn) and a divergent series (eyn) such that the product series e(xn * yn) is convergent.
EXPLANATION:
Let's consider the following two series:
1. Convergent series (exn): xn = 1/n^2
2. Divergent series (eyn): yn = n
Now, let's analyze the product series e(xn * yn):
e(xn * yn) = (1/n^2) * n = 1/n
The product series e(xn * yn) is a harmonic series, which is a convergent series.
In this example, the convergent series (exn) is the series of 1/n^2, the divergent series (eyn) is the series of n, and their product series e(xn * yn) is the harmonic series (1/n), which is convergent.
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Can the remainder by greater than the divisor? Why or why not?
Answer: If a remainder is more than divisor, latter can go one more time and hence division is not complete. Even if remainder is equal to divisor, it can still go one more time. Hence remainder has to be less than the divisor.
Name the set or sets to which 14/15 belongs
Answer:
inegeters
Step-by-step explanation:
t + 2<=23Simplify your answer as much as possible.ÜХ
Bring like terms together
\(\begin{gathered} 15+4\text{ = t}-4\text{ +4} \\ 19\ge t \\ t\leq19 \\ \\ \end{gathered}\)on number line, we will have
John was 40" tall in 2008 and 46" tall in 2010. Dave was 53" tall in 2003 and 70" tall in 2007. Who is growing at
a faster rate? If each person keeps growing at the same rate, how tall can we expect each to be in 2011? Is this
a reasonable expectation?
Answer:
John is growing at a faster rate.
Step-by-step explanation:
John grew 6 inches in 2 years, while Dave grew 7 inches in 4 years. We can expect John to grow another 3 inches by 2011, making John 49 inches tall in 2011. We can expect Dave to grow about another 7 inches by 2011, since another 4 years has passed. This seems reasonable enough...
A girl received $100 for her birthday. At the store she can buy 1 video game and 3 DVDs for $100. She could ask buy 2 video games and 1 DVD for $100. Write and solve a system of equations to determine the cost of a video and the cost of a dvd
Answer:
Step-by-step explanation:
The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
HELPPPPPPP ASAPPPPPPPPPpp 25 POINTS
Answer:
A, the y intercept is 15
Step-by-step explanation:
This function is in standard form and is the only one where you can simply substitute 0 in for x and find the y- intercept.
Here is an expression: 20 + 4
What are some ways to think about this expression? Describe at least two meanings you
think it could have.
Answer:
look at my explanation.
Step-by-step explanation:
What is an Expression?
An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is:
Expression = (Number, Math Operator, Number)
For example,
= 7 + 9
= 23 × 4
= 37 – 6
= 25 + 9 – 4 ÷ 2
Do these look right?
Answer:
yes it look right like the one you have to do 2x+5=39
Find the perimeter and area
Answer:
perimeter = 14
area = 6
Step-by-step explanation:
p = 4 + 3 + 7
a = L × w
2
Perimeter: 14m²n²cm
Area: 28m²n²
Explanation step bye step Given Data:height: 4m²
length: 7mn²
base: 3mn²
To Find:Perimeter =?
Area=?
Formula:Perimeter: a + b + c
Area: length × height
SolutionPerimeter: a+b+c
= 4m²+7mn²+3mn²
= 14m²n² cm
Area: l×h
= 4m²×7mn²
= 28m²n²
please mark as brainliest answer pls
Find an equation for the line tangent to the graph of the given function at the indicated point. 8 3) f(x): () = at at (4,2) X 1 4) f(x)=x2-x at (4, 12)
(a) tangent line to the graph of f(x) = x^3 at the point (4,2).
(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).
(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.
(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.
In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.
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Can someone please help with this!
mathpapa should n could help
Answer: 16.48486
Step-by-step explanation:
tan(70°) = x/6
x = 6tan(70°)
x = 16.48486
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?
Answer:
Large box = 31/2 = 15.5 kgs
Small box = 27/2 = 13.5 kgs.
Step-by-step explanation:
Let x be large box
Let y be small box
5x + 3y = 118
5x = 118 - 3y
x = 118/5 - 3/5y
2x + 12y = 193
2(118/5 - 3/5y) +12y = 193
y = 27/2 = small box
Large box
5x + 3(27/2)=118
x = 31/2 = large box
A principal of a large high school wants to estimate the true proportion of high school students who use the
community's public library. To do so, he selects a random sample of 50 students and asks them if they use the
community's public library. The 95% confidence interval for the true proportion of all students who use the
community's public library is 0.25 to 0.34. Which of these statements is a correct interpretation of the confidence
level?
Approximately 95% of the 50 randomly selected students use the community's public library.
O The principal can be 95% confident that the interval from 0.25 to 0.34 captures the true proportion of high school
students who use the community's public library.
O If many random samples of size 50 are selected from all students at this school, approximately 95% of the
intervals would capture the true proportion of students who use the community's public library.
O Approximately 95% of the intervals, based upon random samples of size 50 from all students in this high school,
will find that between 25% and 34% of students at this school use the community's public library.
By using the concept of confidence interval, it can be inferred that
If many random samples of size 50 are selected from all students at this school, approximately 95% of the intervals would capture the true proportion of students who use the community's public library.
Second option is correct
What is confidence interval?
Suppose there is an unknown parameter. Confidence interval gives the range of estimate of that unknown parameter.
Suppose the parameter to be estimated is \(\theta\)
A confidence interval for the parameter \(\theta\), with level of confidence 1 - a, is an interval (u, v) with the property:
P(u < \(\theta\) < v) = 1 - a, a is the level of significance
Here confidence interval is 95%
The 95% confidence interval for the true proportion of all students who use the
community's public library is 0.25 to 0.34
Sample size = 50
Since confidence interval of 95% is given, so a concept of sample size will be used here
So the correct interpretation will be
If many random samples of size 50 are selected from all students at this school, approximately 95% of the intervals would capture the true proportion of students who use the community's public library.
Second option is correct
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which of the following bases is the weakest? the base is followed by its kb value. a) hoch2ch2nh2, 3.2 × 10-5 b) nh3, 1.76 × 10-5 c) c5h5n, 1.7 × 10-9 d) (ch3ch2)3n, 5.2 ×
The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.
The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.
In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.
Comparing the Kb values provided:
(CH3CH2)3N with Kb = 5.2 × 10^(-4) C5H5N (pyridine) with Kb = 1.7 × 10^(-9) NH3 with Kb = 1.76 × 10^(-5)HOCH2CH2NH2 with Kb = 3.2 × 10^(-5)A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.
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Please answer the question:
Step-by-step explanation:
C is the answer steps are in the photo
Answer:
Option 3
Step-by-step explanation:
=> \(3x^2-27\\\)
Taking 3 common
=> 3(x²-9)
=> \(3(x)^2-(3)^2\)
=> 2(x+3)(x-3)
solve for x
10x - 72
3x - 4
Answer:
9.71 Only way I could think of to solve it
Step-by-step explanation:
10x-72=3x-4
7x=68
x=9.71
La presa de Hidroituango tiene una altura de 225 m., alberga 20 millones de m^3 de volumen y una cresta de 550 metros de longitud, suponiendo que es un cuadrilátero con la base inferior de 200 m de longitud, determine las dimensiones y área superficial de la presa
Answer:
El ancho de la superficie = 444,44 my el largo = 200 m
La superficie de la superficie de la presa = 88888,89 m²
Step-by-step explanation:
Los parámetros dados son;
La altura del agua en la presa = 225 m
El volumen de agua en la presa, d = 20 millones de m³
La longitud de la base = 200 m
Sea el ancho de la presa = x
El volumen viene dado por la relación;
200 × 225 × x = 20 millones de m³
x = 20.000.000 / (200 × 225) = 444,44 m
Por tanto, las dimensiones de la superficie son ancho = 444,44 my largo = 200 m
El área de superficie de la superficie de la presa = 444.44 × 200 = 88888.89 m².
If (3x÷4,2)=(3,y÷6)then find the value of x and y.
Answer:
If you want to learn something without me directly giving you the answer, then here's the explanation
Step-by-step explanation:
You are given two points with unclear coordinates. Because they are equal to each other, you know that they are both the exact same point, meaning that the x and y coordinate of each point is equal to eachother. Therefore,
\(3x/4=3\\y/6=2\)
If you understand basic algebra, the rest should be easy.
If 108 × 137 = 14796, then:
137 × ____ = 14796
Answer:
108
Step-by-step explanation:
Like addition equations, the terms in multiplication equations can be arranged in any way and still return the same result. For example, 2 × 3 = 6, but 3 × 2 also equals 6. The same goes for 108 × 137, which can be written as 137 × 108.
To further confirm this, you can simply divide 14796 by 137, which results in 108.
Answer:
108
Step-by-step explanation:
any 2 numbers multiplied with eachother the answer is always the same. for eg:- 1×2=2 2×1=2
so, if 108 × 137 = 14796
then 137 × 108 = 14796
PLS ANSWER AS SOON AS POSSIBLE
Answer:
5p^2+5q^2-3pq^2
Step-by-step explanation:
3q^2+4p^2-2pq^2-(2pq^2-3p^2)
3q^2+4p^2-2pq^2-2pq^2+3p^2
7p^2+3q^2-4pq^2+(pq^2-5p^2+q^2+3p^2+q^2)
7p^2+3q^2-4pq^2+pq^2-2p^2+2q^2
5p^2+5q^2-3pq^2
Answer:36
Step-by-step explanation:
6/in a study investigating the effect of car speed on accident severity, the reports of fatal automobile accidents were examined, and the vehicle speed at impact was recorded for each one. the average speed was 48 mph and standard deviation was 15 mph, respectively. a histogram revealed that the vehicle speed at impact distribution was approximately normal. (a) roughly what proportion of vehicle speeds were between 33 and 63 mph? (b) roughly what proportion of 18 vehicles of average speed exceeded 51 mph?
(a) Roughly 68% of the vehicle speeds were between 33 and 63 mph.
(b) Roughly 50% of the 18 vehicles of average speed exceeded 51 mph.
(a) Since the distribution of vehicle speed at impact is approximately normal and we know the mean and standard deviation, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the proportion of vehicle speeds between 33 and 63 mph.
According to this rule, approximately 68% of the data falls within one standard deviation of the mean.
Given that the mean speed is 48 mph and the standard deviation is 15 mph, the range of one standard deviation below and above the mean is from 48 - 15 = 33 mph to 48 + 15 = 63 mph.
Therefore, roughly 68% of the vehicle speeds fall between 33 and 63 mph.
(b) If we assume that the distribution of speeds of the 18 vehicles of average speed is also approximately normal, we can again use the empirical rule to estimate the proportion of vehicles exceeding 51 mph.
Since the mean speed is the same as the average speed of 48 mph, and we know that roughly 50% of the data falls above and below the mean, we can estimate that approximately 50% of the 18 vehicles would exceed 51 mph.
It is important to note that these estimates are based on the assumption of normality and the use of the empirical rule, which provides approximate values.
For more accurate estimates, further statistical analysis using the actual data and distribution would be required.
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Determine whether the data show a linear relationship. If so, write an equation of a line of fit.
Shoe size, x
6
8
8.5
10
13
Heart rate (bpm), y
112 94
94 100 132 87
The data do not show a linear
relationship
The data show a linear
O relationship; The equation is
y = -3.5x + 133.5.
The data show a linear
O relationship: The equation is
y = -92 + 166.
The data show a linear
O relationship: The equation is
y = -1.95x + 122.5.
Please help!! will give brainliest
Answer:
I think its A=D but not sure
suppose f : rn → rm is a linear map. what is the derivative of f ?
If f: rn → rm is a linear map, then its derivative is simply the map itself. This is because a linear map is a function that preserves vector addition and scalar multiplication.
In other words, if we take two vectors in the domain and add them together, and then apply the linear map, it is the same as applying the linear map to each vector separately and then adding the results. Similarly, if we multiply a vector in the domain by a scalar and then apply the linear map, it is the same as multiplying the result of applying the linear map to the original vector by the same scalar.
Formally, we can express this idea using the concept of a Jacobian matrix. The Jacobian matrix of a function describes the rate at which the function changes near a particular point. For a linear map, the Jacobian matrix is simply the matrix that represents the map. This means that the derivative of f is the matrix A such that f(x) = Ax for all x in rn.
To see why this makes sense, consider the simplest case of a linear map from R1 to R1, given by f(x) = ax, where a is a constant. The derivative of this function is f'(x) = a, which is just the constant coefficient of the linear map. More generally, the derivative of a linear map f: rn → rm is the matrix A such that f(x) = Ax for all x in rn.
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Plzzzz plzzzzzz help help
Answer:
1)a number of back wheels are used so as to increase area of contact with the ground thus distribution of pressure evenly, reducing force acting on the ground
Step-by-step explanation:
2)pressure will increase since pressure is inversely proportional to area ..p = 1/A
PLEASE HELP URGENT DO NOT WASTE ANSWERS WILL MARK BRAINLIEST
Company.
23. Baseball Display A baseball display case is in the shape
of a cube. What is the volume of the display case if the
side length is 9.8 centimeters?
9.8 cm
9.8 cm
9.8 cm
The volume of the display case if the side length is 9.8 centimeters is 941.192 cubic centimeters.
It is required to find the volume.
What is cube?Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.
Solution:
Baseball display case is in the shape of a cube.
side length = 9.8 centimeters
We know that
volume of the cube= \(side^{3}\)
volume of the cube=
\(9.8^{3} =941.192 c.c\)
Therefore, the volume of the display case if the side length is 9.8 centimeters is 941.192 cubic centimeters.
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It takes a man 6 hours to row a boat 24km upstream and covers a distance of 36 km downstream in 6 hours. What will be the speed of the man in still water
Answer:
5 km/h
Step-by-step explanation:
Speed of man in still water = s
Speed of current = c
Speed upstream = s - c
Distance upstream = 24 km
Time upstream = 6 hours
Speed downstream = s + c
Distance downstream = 36 km
Time downstream = 6 hours
Speed Equation
speed = distance/time
distance = speed × time
d = st
We write a distance equation for upstream and a second distance equation for downstream.
Upstream:
d = st
24 = (s - c) × 6
Divide both sides by 6 and switch sides:
s - c = 4 Equation 1
Downstream:
d = st
36 = (s + c) × 6
Divide both sides by 6 and switch sides.
s + c = 6 Equation 2
We now have two equations in two variables. We use equations 1 and 2 as a system of equations.
s - c = 4
s + c = 6
Add the equations to use the addition method.
2s = 10
s = 5
Answer: 5 km/h