The value domain of dy/dx is ( v du/dx - u dv/dx)/v²
What does d in dy dx represent?The letter d in dy/dx has no meaning. In this situation, the symbol d/dx has significance. The mathematical notation dy/dx should be interpreted as "d/dx of y" rather than the completely incorrect "dy by dx". Whenever we differentiate y, we multiply by dy/dx, but whenever we differentiate x, we differentiate both x and y as if they were separate variables. Because y is a dependent variable and a consequence of x, this is true.
The query has given us
y = (1+x)u/(1+x)v
y = u/v
dy/dx = d/dx(u/v)
d/dx(u/v) = ( v du/dx - u dv/dx)/v²
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Question:
If y = (1 + x)u/(1 + x)v Find dy/dx
what is the square root of x divided by the square root of 2 equal
Answer:
\(\sqrt{\frac{x}{2} }\)
Key:
• \(\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}\)
Step-by-step explanation:
\(\frac{\sqrt{x}}{\sqrt{2}}\\\)
\(\frac{\sqrt{x}}{\sqrt{2}}=\sqrt{\frac{x}{2}}\\\)
\(=\sqrt{\frac{x}{2}}\)
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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A man is going to fence in his backyard. Which of the following units of measure would be the most appropriate unit to describe the amount of fencing he'll need?inchfootmile
The most appropriate unit for the fencing is foot
Because inch is too small for a fence, and a mile is way too big
write the relation r given by the matrix as a set of ordered pairs the rows and columns are labeled in the order of w, x, y. and z. is the relation reflexive, symetric and transitive
The relation R represented by the given matrix is not reflexive and not symmetric, but it is transitive.
The matrix represents a relation where the rows and columns are labeled in the order of w, x, y, and z. By reading the matrix, we can identify the ordered pairs that make up the relation. In this case, the pairs are {(w, x), (x, x), (y, z)}.
To determine if the relation is reflexive, we check if every element in the set has a pair with itself. In this case, the pair (w, w) is missing, so the relation is not reflexive.
To check if the relation is symmetric, we examine if for every pair (a, b) in the set, the pair (b, a) is also present. Here, we see that the pair (x, y) is missing, while (y, x) is present, indicating that the relation is not symmetric.
Finally, to assess transitivity, we need to verify that if (a, b) and (b, c) are present in the set, then (a, c) should also be present. In this case, we don't have any such counterexamples, so the relation is transitive.
In summary, the relation R represented by the given matrix is not reflexive and not symmetric, but it is transitive.
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PLEASE HELP FAST
write an inequality and solve it
Answer:
1>2x
Step-by-step explanation:
1>2x
1/2= one half
2x/2= x
one half>x
What operation is the inverse of the one in the equation 9 = p/8 ?
A.subtraction
B.division
C.multiplication
D.addition
Multiplication operation is the inverse of the one in the given equation which is 9 = p/8.
What is an inverse?
The opposite of another operation is referred to as the "inverse" in mathematics. The operations that cancel out or are the opposite of one another are referred to as inverse operations. The work of a pair is reversed by an inverse operation.
We are given an equation as 9 = p/8.
In this equation, we can see that the operation used is division.
We know that inverse of division is multiplication.
Hence, multiplication operation is the inverse of the one in the given equation.
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Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
Match each equation with its solution
Answer: The first one is 1. The second one is -25
Step-by-step explanation:
Let R be the region in the fourth quadrant enclosed by the x-axis and the curve y=x²-2kx, where k is a constant. If the area of the region R is 36, then the value of k is
a)-3
b)3
c)4
d) 6
To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.
To find the value of k, we need to follow these steps:
Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0
This means that the curve intersects the x-axis at x = 0 and x = 2k.
Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.
Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx
Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)
Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3
Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3
Take the cube root of both sides:
k = 3
The value of k is 3 (Option b).
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In one of the trailers the characters, narrowly escape the displacer beast by jumping into what?
The characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
In one of the trailers, the characters narrowly escape the displacer beast by jumping over a crevice. To calculate the minimum velocity required for the jump, we can use the equation for the distance of an object thrown vertically upwards:
v1 = √(2gh)
where v1 is the initial velocity, g is the acceleration due to gravity (9.81 m/s2), and h is the height of the crevice.
For example, if the crevice is 6 meters deep, the required initial velocity to safely jump over it would be:
v1 = √(2 * 9.81 * 6)
v1 = 13.4 m/s
Therefore, the characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
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Complete question:
How do you calculate the minimum velocity required to jump over a crevice to escape a displacer beast?
Jessica opened a savings account with $40.00.
She is going to add $20 per week over the twelve weeks of summer. She will close the account when the summer is over.
Which expression would be an appropriate domain for this situation?
Check the picture below.
so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?
well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].
What are the coordinates of the y-intercept of the line whose
equation is 10x + 7y= 5?
Answer: (0, 5/7)
Step-by-step explanation:
The y intercept is when x = 0
\(10*0+7y=5\\7y=5\\y=5/7\)
a postal worker counts the number of complaint letters received by the united states postal service in a given day. identify the type of data collected.
When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.
How to explain the dataQuantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.
Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.
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given that logm 3=0.903,logm4=1.139 , and logm7=1.599, find logm4/m.
The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.
Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.
Using the properties of logarithm, we have,
logm 4/m = logm 4 - logm m
=1.139 - logm m .....................................(1)
Again, using the properties of logarithm, we know that:
logm 4 = logm (2 × 2)
= logm 2 + logm 2
= 1.139 = 2logm 2 ..................................(2)
Substituting equation (2) into (1) gives:
logm 4/m = 2logm 2 - logm
m = 2logm (2/m) ..................................................(3)
Using the property of logarithm once again, we know that:
loga b = logc b / logc a ............................................(4)
Substituting equation (4) into equation (3), we have:
logm 4/m = 2 logm 2 - logm
m= logm [(2/m)² / m] .............................................(5)
Now, we are to find logm 4/m by substituting the given values.
Using equation (2), we have:
logm 2 = (1.139)/2
= 0.5695
Using equation (5), we get:
logm 4/m = logm [(2/m)² / m]
logm 4/m = logm [4/m²m]
logm 4/m = logm 4 - logm
logm 4/m = 1.139 - 2 logm m
Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.
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Is x = 17 a solution to the equation x + 15 = 42?
guys plz help me :(
Answer:
no
Step-by-step explanation:
x + 15 = 42
Subtract 15 from each side
x + 15-15 = 42-15
x = 27
x = 17 is not 27 so it is not a solution
Answer:
No.
Step-by-step explanation:
If you substitute 17 in for x in the equation you get 17+15=42. Simplify to get 32=42. This is not a true statement, so x=17 is not the answer.
What are the values of a and b?
Answer:
Step-by-step explanation:
They are both congruent and they are both the same shape from different angels so the values of a=8 and the value for b=10.
I think this should help.
what would the slope be for points (-5,8) and (-7,10)
Answer:
-1
Step-by-step explanation:
\(\frac{10-8}{-7- - 5}\) =\(\frac{2}{-7+5}\) = \(\frac{2}{-2}\) = -1
Ordered pairs are written (x,y) The first number is the x coordinate and the second number is the y coordinate.
(-5,8) and (-7,10) You take the y's and subtract them that is your numerator. Take the x's and subtract them. That is your denominator.
Solve for x..........
Step-by-step explanation:
30/42 = 25/6x-1
180x - 30 = 1050
180x = 1020
x = 5.67
Answer please!!! There is a ss attached!
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The height of a randomly selected giraffe b. The number of points scored during a basketball game c. The gender of college students d. The amount of rain in City Upper B during April e. The number of fish caught during a fishing tournament f. The number of bald eagles in a country
The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.
a. Continuous random variable
b. Discrete random variable
c. Discrete random variable
d. Continuous random variable
e. Discrete random variable
f. Not a random variable
a. The height of a randomly selected giraffe is a continuous random variable because it can take on any value within a certain range.
b. The number of points scored during a basketball game is a discrete random variable because it is a countable number.
c. The gender of college students is a discrete random variable because it is a categorical variable with two possible values.
d. The amount of rain in City Upper B during April is a continuous random variable because it can take on any value within a certain range.
e. The number of amount fish caught during a fishing tournament is a discrete random variable because it is a countable number.
f. The number of bald eagles in a country is not a random variable because it is a fixed number and not a random sample.
The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.
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Is 24:48 equivalent to 6:12
Answer:
Yes, 6:12 is just a simplified version of the ratio 24:48.
Step-by-step explanation:
If you multiply both numbers by 4 you will see,
6x4=24
12x4=48
anyone know how to do this??
Answer: the answer to the first question is B and the answer to the other question is C
Step-by-step explanation: if im right plz mark as brainliest. Hope this helps :)
If the radius of Brenda's bicycle wheel is 13 inches, approximately how many inches are there in the circumference of the wheel?
Answer:
There are approximately 82 inches
Step-by-step explanation:
Here, we want to calculate the circumference of the wheel
To do this, we are going to use the formula for the circumference of a circle
C = 2 * pi * r
C = 2 * pi * 13
= 26 * pi
C = 81.7 inches which is approximately 82 inches
What types of concurrent constructions are needed to find the centroid of a triangle?
The types of concurrent constructions that are needed to find the centroid of a triangle include the following: B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.
What is the centroid theorem?In Mathematics and Geometry, the centroid theorem states that the centroid of a triangle is located at two-third (2/3) of the distance from the vertex to the midpoint of the (opposite) sides.
Generally speaking, the centroid of a triangle simply refers to the point where the three (3) medians of the triangle meet or intersect. This ultimately implies that, a centroid is a point of intersection of the lines from each vertex of a triangle to the midpoint of the opposite sides.
In this context, the types of concurrent constructions would be modeled by answer option B.
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Complete Question:
What types of concurrent constructions are needed to find the centroid of a triangle.
A. intersection of the lines drawn from each vertex of a triangle and perpendicular to its opposite side.
B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.
C. intersection of the lines drawn to bisect each vertex of the triangle.
D. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
Given that a function, g, has a domain of -20 ≤x≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could
be true for g.
OA. g(-13) = 20
OB. g(7) = -1
OC. g(0) = 2
OD. g(-4)=-11
The statement that could be true for the function g is: OA. g(-13) = 20.A is correct answer.
To determine which statement could be true for the function g, we need to examine the given information about the domain, range, and specific function values.
Given information:
Domain: -20 ≤ x ≤ 5
Range: -5 ≤ g(x) ≤ 45
g(0) = -2
g(-9) = 6
Let's analyze each statement:
OA. g(-13) = 20
Since the domain is -20 ≤ x ≤ 5, and -13 falls within this range, it is possible for g(-13) to be 20. This statement could be true.
OB. g(7) = -1
The domain is limited to -20 ≤ x ≤ 5, and 7 is outside this range. Therefore, g(7) is not defined within the given domain. This statement cannot be true.
OC. g(0) = 2
From the given information, we know that g(0) = -2. Therefore, g(0) cannot be 2. This statement cannot be true.
OD. g(-4) = -11
Since the domain is -20 ≤ x ≤ 5, and -4 falls within this range, it is possible for g(-4) to be -11. This statement could be true.
Based on the given information, the statement that could be true for the function g is:
OA. g(-13) = 20
Please note that there may be other statements that could be true for the function g, but based on the given options, option OA is the most plausible one. A is correct answer.
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The line produced by the equation Y=4X−5 crosses the vertical axis at Y=5 .a. True.b. False.
false. The vertical axis is the y-axis, which is where x=0. In this equation, when x=0, we have: y=4(0)-5
y=-5
Therefore, the line produced by the equation Y=4X−5 crosses the vertical axis at y=-5, not y=5.
To further understand this concept, we can visualize the equation on a graph. When we plot the points (0,-5) and (1,-1) (which is found by substituting x=1 into the equation), we can draw a line that passes through both points. This line is the graph of the equation Y=4X−5. We can see that the line crosses the vertical axis (y-axis) at y=-5, which confirms that the answer is false.
In summary, the equation Y=4X−5 crosses the vertical axis (y-axis) at y=-5, not y=5.
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Help me answer these 4 questions please! ( one step inequalities )
1) e +3≥9
2) 21≥7i
3) i-13≥4
4) -8≥i(-2)
( I need actual answers not if they are true or false! )
Answer:
Step-by-step explanation:
1) e +3 ≥ 9
(e + 3) + (- 9) ≥ 9 + (- 9)
e + 3 - 9 ≥ 9 - 9
e ≥ 6
2) 21 ≥ 7i
7i ≤ 21
\(i\) E ( -\(_{ \infty}\) 3]
3) i - 13≥ 4
(i - 13) + 13 ≥ 4 + 13
\(i\) E( 17,\({ \infty}\))
4) -8 ≥ i(-2)
-8 ≥ -i · 2
-8 ≥ -2i
\(i\) E [4, infinite) (No solution)
Faith Franklin sells furniture and earns 9% commission on her total sales. Last month she had $33,500 in
sales. How much did she earn?
Answer:
$3015
Step-by-step explanation:
Answer:
$3015
Step-by-step explanation:
Comment
She earned 9% of 33500
To replace th4 % sign, you always divide the number given by 100.
So 9% as a decimal is 9/100 = 0.09. Notice where the 100 goes. It is right underneath the 9. So you are dividing by 100.
So she earned
0.9 * 33500 = $3015
A researcher claims that the percentage of infants who receive immunizations is less than 80%. They select a sample of size 900 infants and 693 have received immunizations. a. State the null and alternative hypotheses. b. Compute the test statistic (z value). c. Compute the P-value. d. What conclusion should be made at a 5% significance level?
The results of given question's parts based on hypothesis testing.
a) Null and Alternative hypothesis
H₀ : p = 0.8
H₀ : p = 0.8 Hₐ : p < 0.8
b) test statistic (z value ) is Z = -2.25.
c) P- value ( Z꜀ ) is - 1.64
d) Rejected the null hypothesis.
We have given that
Sample size, n = 900
Hypothesis population proportion, p₀ = 0.80
Sample proportion , p-hat = 0.77
favourable cases, X = 693
significance level, α = 0.05
a) The following null and alternative hypothesis for population proportion needs to be tested :
H₀ : p = 0.8
Hₐ : p < 0.8
This is corresponding to a left tailed test for a z test for one population will used .
c) we have given that, Significance level is α=0.05 and the critical value for a left tailed test is Z꜀ = - 1.64
so, the rejection region for left tailed test R = { Z Z<- 1.64 }
b) Z- statistic value :
Z = (p-hat - p₀)/√p₀(1-p₀)/n
=> Z = ( 0.77 - 0.8 )/√0.8×0.2/900
=> Z = -2.25
d) Decision about Null hypothesis,
Since, it is observed that Z = - 2.25 < Z꜀ = - 1.645 it is then concluded that the null hypothesis is rejected. Reject the null hypothesis. There is not enough evidence to conclude that the percentage of infants who receive immunization s is less than 80%.
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In ΔNOP, the measure of ∠P=90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?
Answer:
12/37
Step-by-step explanation:
SOH - CAH - TOA
O = opposite
A = adjacent
H = hypotenuse
Sin = O/H
Sin N = 12/37
Answer:Find sin N
sinN=
hypotenuse/opposite
12/37
Step-by-step explanation: