Answer:
√53 or 7.28
Step-by-step explanation:
To find the length of the line segment from the point (4, 2) to the point (-3, 4), you can use the distance formula, which is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the two points, you get:
distance = √((-3 - 4)^2 + (4 - 2)^2)
Simplifying this expression gives:
distance = √((-7)^2 + (2)^2)
Which simplifies to:
distance = √(49 + 4)
Which simplifies to:
distance = √53
So the length of the line segment from the point (4, 2) to the point (-3, 4) is approximately 7.28.
Which table could be a partial set of values for a linear function?
Answer:
I think it might be the bottom right one but not sure
Dewie Lifftum, Howe Moving Company has a loading ramp for their moving truck. The ramp connects to the truck 5 feet above the ground and the length of the ramp from the truck to the ground is 13 feet long what is the distance along the ground from the truck to the end of the ramp?
Answer:
the answer is 65
Step-by-step explanation:
13x5=65
12 feet is the distance along the ground from the truck to the end of the ramp.
What is Pythagorean Theorem?
For a right-angled triangle
(base)²+(height)²=(hypotenuse)².
How to solve the problem?The ramp makes a right-angled triangle with the truck and the ground refer to the supported diagram.
Let x be the distance along the ground from the truck to the end of the ramp. Then
x²+5²=13²
⇒x²=13²-5²
⇒x²=169-25=144=12²
Hence, 12 feet is the distance along the ground from the truck to the end of the ramp.
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find the perimeter and area in hectares of a field whose length is 240m and breadth is 110m
The perimeter and area in hectares of the given field = 700m and 2.64 hectares respectively.
How to calculate the perimeter of the field?The formula that is used to calculate the perimeter here f a field = 2(l+w)
where,
Length = 240m
width = 110m
Perimeter = 2(240+110)
= 480 + 220
= 700m
The formula that is used to calculate the area of the field;
= length×width
= 240×110
= 26,400m²
To convert to hectares of land;
1 hec = 10000m²
X hec = 26,400m²
make X the subject of formula;
X= 26,400/10000
= 2.64 hectares.
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Find the meadin for these job salaries
\(Answer:\)
The median is $\(40,000\)
To find a median, find the averaging number, rather the middle number.
The middle number will always be your answer.
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim [In(x9 - 1) - In(x5- 1)]
The limit of the given expression as x approaches 1 from the right is 1.8.
To evaluate the limit of the given expression:
\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
We can start by directly substituting x = 1 into the expression:
[ln(1⁹ - 1) - ln(1⁵ - 1)]
= [ln(0) - ln(0)]
However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.
To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:
\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]
= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]
Now, we can differentiate the numerator and denominator with respect to x:
Numerator:
d/dx[(x⁹ - 1)] = 9x⁸
Denominator:
d/dx[(x⁵ - 1)] = 5x⁴
Taking the limit again:
\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]
= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)
= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)
Now, we can substitute x = 1 into the expression:
(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)
= (9/5) * \(lim_{x - > 1}\)+ 1
= (9/5) * 1
= 9/5
= 1.8
The complete question is:
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
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a system of equations is shown below.
2x-6y=-6
y=1.5x-2.5
what is the value of x in the solution to the system?
Answer:
x = 3
Step-by-step explanation:
Solving systems of linear equations via substitution:
\(2x-6y=-6\)
\(y=1.5x-2.5\)
We are already given the value of y, so to find the value of x, we need to plug in the y value in the other equation.
\(2x-6(1.5x-2.5)=-6\)
Distribute 6
\(2x-9x+15=-6\)
Combine our like terms
\(-7x+15=-6\)
Subtract 15 to both sides
\(-7x=-21\\\)
Divide by -7
\(x=3\)
i feel absolutely unintelligent and cannot get past this assignment. all my friends finished school but im not done yet. can someone help me please!
Step-by-step explanation:
Probability of A is 10 + 5 =15
Probability of B is 9 + 5 ( but you already counted the '5')
so just count 9
9+ 15 = 24
this is 24 out of 16 + 10 + 5 + 9 = 40
or 24/40 which reduces to 3/5 or .6 or 60%
Using the equation given:
P(A) + P(B) - P(A and B)
15 + 14 - 5 = 24 this is out of the entire number 40
24/40 = same as above
the number of pieces in a jigsaw puzzle and the number of minutes required for a person to complete
The number of pieces in a jigsaw puzzle and the number of minutes required for a person to complete are not directly related. The time it takes for a person to complete a jigsaw puzzle depends on several factors, including the person's experience with puzzles, the level of difficulty of the puzzle, the size of the puzzle pieces, and the person's level of concentration.
For example, a 500-piece puzzle might take one person several hours to complete, while another person might be able to finish it in just a few hours. Similarly, a 1000-piece puzzle might take one person a full day to complete, while another person might be able to finish it in just a few hours.
In general, the larger the number of pieces in a puzzle, the more time it will take to complete. However, the actual time required can vary greatly depending on the individual and the specific puzzle.
1. 4(2x + 3) = 36
Thanks please help with this
Answer: x=3
Step-by-step explanation: Hope this help :D
Answer:
x=3
Step-by-step explanation:
4(2x+3)=36
8x+12=36
8x=24
x=3
a population of 20 deer are introduced into a wildlife sanctuary. it is estimated that the sanctuary can sustain up to 300 deer. absent constraints, the population would grow by 70% per year. estimate the population after one year p 1
The answer of the question based on population growth is , the estimated population after one year is approximately 34 deer.
To estimate the population after one year, we can use the formula for exponential growth:
P = P0 * (1 + r)^t.
P0 represents the initial population (20 deer in this case), r represents the growth rate (70% or 0.7 as a decimal), and t represents the time period in years (1 year in this case).
Using these values, we can calculate the population after one year as follows:
P = 20 * (1 + 0.7)¹
P = 20 * 1.7
P ≈ 34
Therefore, the estimated population after one year is approximately 34 deer.
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x race to power 4 minus 8x race to power 2 plus 1 equal to zero (Pls can anybody solve this)
Answer:
×⁴-8ײ+1
Explanation:
kaya yan ung sagot ksi hnd mo na sya mai-sosolve kasi mag kaiba ung upper right side nya kaya i coppy molng un^_^..hope its help...
What is 9,167 364 written in expanded form?
3 6 4
9,000+100+60+70+
+
10 100 1,000
3 6
9,000 + 100+60 +7+
10 100 1,000
+
3 6
9,000 + 100+60 +7+
10 100
3 6 4
9,000 + 100+70+8+
10 100 1000
Answer:
you decide this is expanded form 9,000 100 60 and 7
Step-by-step explanation:
so I would say C
If f (x) = 3x + 1 and g(x) = 2x + 1, what is the value of f (g(2))?
Step-by-step explanation:
= f( g(2) )
= 3(2x + 1) + 1
= 6x + 3 + 1
= 6x + 4
= 6(2) + 4
= 12 + 4
= 16
f(g(2)) = 16
please help I don't comprehend word problems I am really struggling with it
Answer:
\(\begin{gathered} A.d=\frac{13}{14}t+0 \\ B\text{. 6:42 P.M.} \end{gathered}\)Explanation:
The distance between Grand Rapids and Lansing = 65 miles
The time taken between Grand Rapids and Lansing ( 4:00 P.M. to 5:10 P.M. ) = 1 hour 10 minutes
= 70 minutes
The speed at which you are driving is:
\(\begin{gathered} s=\frac{d}{t} \\ s=65\div70 \\ s=\frac{13}{14}\text{ miles per minute} \end{gathered}\)Thus, a linear equation that gives the distance in terms of t is:
\(\begin{gathered} \frac{13}{14}=\frac{d}{t} \\ d=\frac{13}{14}t \end{gathered}\)Part B
If Detroit is 150 miles from Grand Rapids:
d=150 miles
\(\begin{gathered} d=\frac{13}{14}t \\ 150=\frac{13}{14}t \\ t=150\times\frac{14}{13} \\ t\approx162\text{ minutes} \\ 162\text{ minutes = 2 hours 42 minutes} \end{gathered}\)So, the time from Grand Rapids to Detroit is 2 hours 42 minutes.
Therefore, if you leave Grand Rapids at 4:00 P.M., you will arrive in Detroit at approximately 6:42 P.M.
Graph (3,-5) and sslope -1/2
y = (-1/2)x - 7/2 is the equation of the given point and slope.
To graph the point (3, -5) and a line with a slope of -1/2, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents a point on the line, and m represents the slope.
Plugging in the values, we have:
y - (-5) = (-1/2)(x - 3)
Simplifying:
y + 5 = (-1/2)x + 3/2
Subtracting 5 from both sides:
y = (-1/2)x + 3/2 - 5
y = (-1/2)x - 7/2
Now we have the equation y = (-1/2)x - 7/2, which represents a line with a slope of -1/2 passing through the point (3, -5).
To graph the line, plot the point (3, -5) on the coordinate plane and then use the slope to find additional points. For every 2 units you move to the right, move 1 unit down to find other points. Connect the plotted points to draw the line.
The resulting graph will show the point (3, -5) and a line with a slope of -1/2.
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Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
It is b
Step-by-step explanation:
Hope it helps
reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (enter your answer in terms of s.) r(t) = 2t i (1 − 3t) j (9 4t) k
The curve with respect to arc length, measured from the point where t = 0 in the direction of increasing t, we need to express the curve in terms of the arc length parameter s.
To reparametrize the curve, we first need to calculate the arc length of the curve. The arc length of a curve in three-dimensional space is given by the integral of the magnitude of the derivative of the curve with respect to t. In this case, we have the curve r(t) = 2t i (1 − 3t) j (9 4t) k.
The derivative of the curve with respect to t can be calculated as:
r'(t) = 2i (1 − 3t) j (4) k.
The magnitude of r'(t) can be determined as:
|r'(t)| =\(sqrt((2)^2 + (1 - 3t)^2 + (4)^2) = sqrt(21 - 18t + 9t^2).\)
To express the curve in terms of the arc length parameter s, we integrate |r'(t)| with respect to t to obtain an expression for s:
s = ∫\(sqrt(21 - 18t + 9t^2)\) dt.
Once the integral is solved, we can invert the resulting equation to express t in terms of s, and substitute this expression into the original curve equation r(t) = 2t i (1 − 3t) j (9 4t) k. The resulting curve will be reparametrized with respect to arc length measured from the point where t = 0 in the direction of increasing t.
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Here are the first five terms of an arithmetic sequence.
26 19 12 5 -2
Find an expression, in terms of n, for the nth term of this sequence.
(I know part of it is -7n but I'm not sure what the rest would be)
33-7n is the required expression.
Have a nice day!!
Answer:
the answer is -7n+ 33
Step-by-step explanation:
i usually just add the constant difference to the first term to create the last value . it sometimes doesnt work but does most times
Which inequality is true? Please help!
Answer:
second one
Step-by-step explanation:
4\(\pi\) = 12.56
that's greater than 12
in a shipment of 54 vials, only 16 do not have hairline cracks. if you randomly select one vial from the shipment, what is the probability that it has a hairline crack?
The probability that it has a hairline crack is 19/27.
Given that;
In a shipment of 54 vials, only 16 do not have hairline cracks.
Let shipment of 54 Vials;
x(s) = 54
Let,' A ' be the event that selects 16
x(A) = 16
P(A) = x(A) / x(s)
= 16/54
But only 16 don't have hairline Crakes;
To solve a given case;
The probability that it has a hairline crack is:
P(A') = 1 - P(A)
= 1- 16/54
P(A') = 19/27
Hence, the probability that it has a hairline crack is 19/27.
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Consider the following: x 29 62 75 99 108 y 215 225 173 129 111 1) what is slope of the regression line predicting y from x,rounded to 2 decimal places?
The slope of the regression line predicting y from x is 0.30.
Given that,
x y
29 215
62 225
75 173
99 129
108 111
So, the coordinate points are (29, 215) and (62, 225)
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
Here, slope = (225-215)/62-29)
= 10/33
= 0.30
Therefore, the slope of the regression line predicting y from x is 0.30.
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I need help plz answer fast
Answer:
Reflecting a point across the y-axis -> changes the sign of the x-coordinate
Reflecting a point across both axes -> changes the sign of both coordinates
Reflecting a point across the x-axis -> changes the sign of the y-coordinate
Step-by-step explanation:
Reflections:
The rule to reflect a point across the y-axis is (-x, y), meaning that the x-coordinate's sign changes.Reflecting a point across both axes is the same thing as rotating it 180 degrees, so the rule is (-x, -y). This means that both coordinates' signs change.Reflecting a point across the x-axis is (x, -y), meaning that the y-coordinate's sign changes.3. Find the equation of a line passing through (5,-6) parallel to : x + 3y = 8
The general slope intercept form is : y = m * x + b
Where m is the slope and b is y - intercept
Given the equation of the line : x + 3y = 8
Write the equation in slope intercept form to find the slope of the line
so, solve for y :
\(\begin{gathered} x+3y=8 \\ 3y=-x+8 \\ \\ y=-\frac{1}{3}x+\frac{8}{3} \end{gathered}\)So, the slope of the given line = -1/3
The parallel lines have the same slope
so, the slope of the required line = -1/3
And the equation will be :
\(y=-\frac{1}{3}x+b\)Find the value of b using the given point ( 5 , -6 )
When x = 5 , y = -6
\(\begin{gathered} -6=-\frac{1}{3}\cdot5+b \\ -6=-\frac{5}{3}+b \\ -6+\frac{5}{3}=b \\ \\ b=-\frac{13}{3} \end{gathered}\)So, the equation of the line will be :
\(y=-\frac{1}{3}x-\frac{13}{3}\)it can be written as : 3y = -x - 13
\(x+3y=-13\)∫▒5/(Sx-1)dx
inI5x-1I+c
5 In (5x-1)+c
In (5)+c
-25/5x-1
The ∫(5/(x-1)) dx, we can use the integration by substitution method and the correct answer is:5 ln|x-1| + c.
To find ∫(5/(x-1)) dx, we can use the integration by substitution method.
Let us make the substitution u = x-1 which means that du/dx = 1 or du = dx.So, ∫(5/(x-1)) dx = 5∫du/u.
Using the power rule of integration for ln(u), we can write ∫du/u = ln|u| + c, where c is the constant of integration.Substituting back for u,
we have ∫(5/(x-1)) dx = 5 ln|x-1| + c, where c is the constant of integration.
Therefore, the correct answer is:5 ln|x-1| + c.
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-5/12 - (-9/3) what is the answer for this equation
Answer:
2 7/12
Step-by-step explanation:
Simple fraction problem
find the missing length indicated
The missing length indicated is 35.
Let us give the name to the triangles
bigger triangle= ABC and smaller triangle = PQC
from the figure its clear that both triangle are congruent.
Therefore we know the formula,
BQ/BC = AP/AC
we have given that,
BQ=12, QC= 15 and AP=28
we have to find PC.
Formula is, BQ/BC = AP/AC
BQ/(BQ+QC) = AP /(AP+PC)
12/(12+15) = 28/ (28+x)
12(28+x) = 12 × 28
336+12x = 756
12x = 420
x = 420/12
x = 35
Therefore missing length is 35.
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Based on the data in the tables, which conjecture about inscribed and central angles is
true?
A. The measure of an inscribed angle is twice the measure of its
intercepted arc
B. If an inscribed angle and a central angle intercept arcs with equal
measures, the inscribed angle is half the measure of the central angle.
C. The measure of an inscribed angle is equal to the measure of the central
angle.
D. If a central angle and an inscribed angle have the same measure, they
intercept arcs with equal measures,
Based on the data in the tables, which conjecture about inscribed and central angles is true include the following: B. If an inscribed angle and a central angle intercept arcs with equal measures, the inscribed angle is half the measure of the central angle.
What is an arc?In Geometry, an arc is a trajectory that is generally formed when the distance from a given point has a fixed numerical value. Generally speaking, the degree measure of an arc in a circle is always equal to the central angle that is present in the included arc.
Additionally, the inscribed angle of a circle is equal to half of the central angle of a circle. Mathematically, this is given by this mathematical expression:
m∠A = 1/2(C)
m∠A = 1/2(100)
m∠A = 50°.
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Simplify 5^3 times 5^4
a: 5^12
b: 5^7
c: 5^9
d: 25^7
Answer:
b
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then
\(5^{3}\) × \(5^{4}\)
=\(5^{(3+4)}\)
= \(5^{7}\)
we saw how to use the perceptron algorithm to minimize the following loss function. M
1
∑ m=1
M
max{0,−y (m)
⋅(w T
x (m)
+b)} What is the smallest, in terms of number of data points, two-dimensional data set containing oth class labels on which the perceptron algorithm, with step size one, fails to converge? Jse this example to explain why the method may fail to converge more generally.
The smallest, in terms of the number of data points, two-dimensional data set containing both class labels on which the perceptron algorithm, with step size one, fails to converge is the three data point set that can be classified by the line `y = x`.Example: `(0, 0), (1, 1), (−1, 1)`.
With these three data points, the perceptron algorithm cannot converge since `(−1, 1)` is misclassified by the line `y = x`.In this situation, the misclassified data point `(-1, 1)` will always have its weight vector increased with the normal vector `(+1, −1)`. This is because of the equation of a line `y = x` implies that the normal vector is `(−1, 1)`.
But since the step size is 1, the algorithm overshoots the optimal weight vector every time it updates the weight vector, resulting in the weight vector constantly oscillating between two values without converging. Therefore, the perceptron algorithm fails to converge in this situation.
This occurs when a linear decision boundary cannot accurately classify the data points. In other words, when the data points are not linearly separable, the perceptron algorithm fails to converge. In such situations, we will require more sophisticated algorithms, like support vector machines, to classify the data points.
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Which of the following will decrease the width of a confidence interval for the mean? 1. Increasing the confidence level II. Increasing the sample size III. Decreasing the confidence level IV. Decreasing the sample size a. I only b. ll only c. ll and III od. III and IV Oe. I and IV
These are: Increasing the sample size, Decreasing the confidence level. Thus, the correct answer is (B) ll only.
Confidence interval refers to the range of values, which is probable to contain an unknown population parameter.
A confidence level shows the degree of certainty regarding an estimated range of values.
Hence, a wider interval indicates less certainty and the smaller the interval, the greater the certainty.
How to decrease the width of a confidence interval for the mean There are two methods to decrease the width of a confidence interval for the mean.
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