The value of the constant of variation is 3.
The correct option is C.
What is variation?Direct variations occur when variables in a variation vary proportionately, that is, when they both increase or decrease at the same time. As a result, you can write X Y symbolically if X and Y are in direct variation. The variables alter disproportionally in inverse or indirect variations.
According to the given information:
Let the constant of variation be k
A quantity h varies directly with w and inversely with p
That is,
h∝ w/p
Introducing the constant of variation, k, we get
h = k(w/p)
Also, from the give information,
w = 4
p = 6
h = 2
Putting the parameters into the relation, we get
2 = K x 4/6
6 x 2= 4K
K = (6 x 2)/4
K = 3
Hence, the value of the constant of variation is 3.
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I understand that the question you are looking for is:
A quantity h varies directly with w and inversely with p. If h = 2, w = 4, and p = 6. What is the constant of variation?
A. 1/2
B. 4/3
C. 3
D. 12
Answer:
C
Step-by-step explanation:
The verified user said so
can someone please help me(20 points will give brainliest!!!)
Evaluate the integral.
√
S-
5
√x (4+5√x)²
2
dx
Substitute [tex]y=4+5\sqrt x[/tex] and [tex]dy=\frac5{2\sqrt x}\,dx[/tex]. Then the integral is
[tex]\displaystyle \int \frac5{\sqrt x (4+5\sqrt x)^2} \, dx = 2 \int \frac{1}{(4+5\sqrtx)^2} \frac{5}{2\sqrt x} \, dx = 2 \int y^{-2} \, dy[/tex]
By the power rule,
[tex]\displaystyle \int y^{-2} \, dy = -y^{-1} + C[/tex]
so that
[tex]\displaystyle \int \frac5{\sqrt x (4+5\sqrt x)^2} \, dx = \boxed{-\frac2{4+5\sqrt x} + C}[/tex]
The starting lineup for a softball team consists of 10 players, How many different batting orders are possible using the starting lineup
The number of different batting orders are possible using the starting lineup is 3628800
How to determine the number of different batting orders are possible using the starting lineup?The given parameter is
Players, n = 10
The different batting orders are possible using the starting lineup is calculated using the following permutation expression
Ways = nCn
Substitute the known values in the above equation
Ways = 10P10
Apply the permutation formula
Ways = 10!/(10 - 10)!
Evaluate the difference
Ways = 10!/0!
0! = 1
So, we have:
Ways = 10!/1
Evaluate
Ways = 10!
Expand
Ways = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Evaluate the product
Ways = 3628800
Hence, the number of different batting orders are possible using the starting lineup is 3628800
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bell canada came by my house that I just bought and installed a new wire support for one of the telphone poles on my property. the electrical code says that the support must hit the ground at a 55 degree angle..If the telephone pole is 25 feet tall. how long is the wire spport that bell just installed?
Answer:
The cable length will have to be at least 30.51936ft
Step-by-step explanation:
[tex]c= \frac{25}{ \sin( 55 ) } = 30.51936[/tex]
C = Cable
Given f(x) = 3 and g(x) = cos(x). what is limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi? 2 3 4 dne
Answer:
3
Step-by-step explanation:
f(x)-g(x)=3-cos(x)
when u limit it
u have
3-cos180
which is 3-0
3
If i throw 20 knifes what is the probability that i will hit my assistant exactly 3 out of those twenty times?
The probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
According to the given question.
Number of times a kinfe is thrown = 20
Let p denotes the probability that knife will hits the assistant. And q denotes the probability that knife will not hit the assistant.
so,
p = 1/20
q = 1 - 1/20 = 19/20
Therefore,
The probability that knife will hit assiant exactly 3 out of 20 times
[tex]= ^{20}C_{3} ( \frac{1}{20}) ^{3} (\frac{1}{19} )^{17}[/tex]
= [tex]\frac{20!}{3!17!} (0.05)^{3} (0.0526)^{17}[/tex]
=
Hence, the probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
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A sample consists of every 25th student from a group of 1000 students. the sampling technique used is:
A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.
What is meant by systematic sampling?Systematic sampling is a probability sampling technique in which researchers periodically choose people from the population.Comparatively speaking, systematic sampling is easier and clearer than a random sample. Additionally, it might make it easier to cover a large study region. Systematic sampling, however, puts certain arbitrary parameters into the data. This may result in some patterns being overrepresented or underrepresented.Imagine that a statistician randomly chooses 100 individuals from a population of 10,000 as an example of systematic sampling. For example, selecting a fresh sample to draw from every 12 hours is one way to make the sampling intervals systematically.A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.
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As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
Select the correct answer what are the solutions to this quadratic equation 4x^2-10=10-20x
Answer:
x1 = 5-3squareroot 5/2 x2= -5+3 squareroot 5 / 2
Step-by-step explanation:
1. If A(-1, 1) and B(3,-1) are the endpoints of one side
square ABCD, what is the area of the square?
of
(A) 12
(B) 16
(C) 20
(D) 25
(E) 36
Answer:
C 20
Step-by-step explanation:
we need the distance between both points, then, as this is the side of a square, we square it and get the area of the square.
the distance we get via Pythagoras (the distance is the Hypotenuse of a right-angled triangle with the coordinate differences in x and y being the legs) :
distance² = (-1 -3)² + (1 - -1)² = (-4)² + 2² = 16+4 = 20
distance = sqrt(20)
the area of the square is the side², so again distance², and therefore the area is 20.
The sum of two numbers is 56. The first number is 2 times greater than the second number. What is the second number?
Answer:
y = 56/3
Step-by-step explanation:
We need to write equations to solve
Let the two numbers be x and y
The sum is 56
x+y = 56
The first number is 2 times greater than the second number.
x = 2*y
Substitute this into the first equation
x+y = 56
2y+y=56
3y = 56
y = 56/3
Step-by-step explanation:
Let the numbers be x and y
The sum of the two numbers is 56 :
Step 1:
X + Y = 56.......... (1)
Also, the first number is 2 times greater than the second number:
Step 2:
2X + Y = 0........... (2)
By substitution method, make Y the subject from (2)
Step 3:
Y = -2X .......... (3)
Put (3) into (1)
Step 4
X - 2X = 56
-X = 56
[tex] \frac{ - x}{ - 1} = \frac{56}{ - 1} [/tex]
X = -56
Put X=56 into (3)
Step 5
[tex]y = - 2( - 56)[/tex]
[tex]y = 112[/tex]
The second number is now 112.
Which term is not possible in the domain of a sequence?
The term that is not possible in the domain of a sequence is:
-5
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. For a sequence, the domain is the set that contains all the indexed of the terms, starting at 0 and going until the nth term.
For example, suppose we have the following sequence: 3, 5, 7, ...
The term with index 0 is 3.The term with index 1 is 5.The term with index 2 is 7.From what was explained above, which also can be visualized with the example, an index term of a sequence cannot be negative, hence the term that is not possible in the domain of a sequence is:
-5.
Which is the only negative number of the options.
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Numbers that are divisible by 2 4 6 8 and 10 have to be?
Answer:
Even
Step-by-step explanation:
PLS HELP ITS MATH PLS
Answer:
y = 2x + 7
Step-by-step explanation:
When a line is parallel to another line, then the slopes of the lines are equal. If line A has an equation y = 3x + 5, then line B, parallel to line A, must also have a slope of 3. Therefore, we know that m (slope) is 2 in this case.
Next, let’s substitute the x and y coordinates and the slope value into y - y1 = m(x - x1). In this case, -4 is x1, and -1 is y1.
y - y1 = m(x - x1)
y + 1 = 2(x + 4)
Finally, simplify the equation and transform it into the slope intercept form, y = mx + b.
y + 1 = 2(x + 4)
y + 1 = 2x + 8
y = 2x + 7
Which linear inequality will not have a shared solution set with the graphed linear inequality? y < five-thirdsx – 2 y < negative five-thirdsx 1 y > five-thirdsx 2 y > negative five-thirdsx 2
The inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.
Linear inequalities are inequalities that involves at least one linear algebraic expression, that is, a polynomial of degree 1.Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
y < five-thirds x – 2. The inequality will have a shared solution set with the graphed linear inequality. y < negative five-thirds x - 1. The inequality will have a shared solution set with the graphed linear inequality.y > five-thirds x + 2. The inequality will not have a shared solution set with the graphed linear inequality. y > negative five-thirds x + 2. The inequality will have a shared solution set with the graphed linear inequalityHence, the inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.
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Answer:
C
Step-by-step explanation:
answer is C
It costs $0.50 to mail a postcard to Canada and $0.60 to mail a one ounce letter to Canada. Ahmad wrote to 21 friends and spent $12.00 for postage. How many letters and how many postcards did he write?
It costs $0.50 to mail a postcard to Canada, cost of mailing a one ounce letter to Canada is $0.60 and Ahmad wrote to 21 friends and spent $12.00 for postage. This means that he wrote 15 letters and 6 postcards.
Given Information:
Cost of mailing a postcard = $0.50
Cost of mailing a letter = $0.60
Total number of friends Ahmad wrote to = 21
Total cost of postage = $12.00
Let the number of postcards written by Ahmad be x and that of letters be y.
Then, x + y = 21 ............... (1)
0.50x + 0.60y = 12 ................ (2)
Multiplying equation (1) by 0.50, we get,
0.50x + 0.50y = 10.5 ................. (3)
Subtracting equation (3) from (2), we get,
0.1y = 1.5
⇒ y = 15
From equation (1), x = 21 - y
x = 21 - 15
x = 6
Thus, Ahmad wrote 6 postcards at a mailing cost of $0.50 each and 15 letters at a mailing cost of $0.60 each.
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Angle Sum Theorem
y = ?
Answer:
140°
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 remote interior angles. (The 2 angles farthest from the angle on the outside of the triangle)
20 + 120 = 140
Answer:
y= 140
Step-by-step explanation:
first you find x by using the sum of angles in a triangle(180-120-20). so x is 40.and then you do 180-40 ( adjustment angles on a straight line. let me know if it makes sense.
Given the data cleanup problem of removing 0 values from a data set, the ____ algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
According to the statement
We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.
and we have to explain about that algorithm.
So,
Here we given that the algorithm copies and paste the values in the new files then
the algorithm is called the copy over algorithm.
So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.
So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
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Solve the system of equations
ax+y=2a
x+ay=1+a^2
Answer:
x = 1; y = a
Step-by-step explanation:
ax+y=2a
x+ay=1+a^2
-a²x-ay=-2a²
x+ay=1+a^2
(1 - a²)x = 1 - a²
x = (1 - a²)/(1 - a²)
x = 1
a + y = 2a
1 + ay = 1 + a²
a = y
x = 1; y = a
4ln x -8=12 its giving me other equations
The solution of the given logarithmic equation is x = 28.1
How to solve the logarithmic equation?
Here we have the logarithmic equation:
4*ln(x - 8) = 12
And we want to solve this for x.
Remember the relations:
[tex]ln(e^x) = x\\e^{ln(x)} = x[/tex]
First, we divide both sides by 4:
[tex]ln(x - 8) = 12/4 = 3[/tex]
Then, if we apply the exponential equation to both sides of our equation, we get:
[tex]e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1[/tex]
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Which equation shows the commutative property of addition? 4 3 = 3 4 1(3) = 3 (2 7) 12 = 2 (7 12) 4 0 = 4
The equation which shows the commutative property of addition is (A) 4+3=3+4.
What is the commutative property of addition?The commutative property is concerned with arithmetic operations such as addition and multiplication. It indicates that switching the order or position of two numbers while adding or multiplying them has no effect on the outcome. For example, 4 + 5 equals 9, and 5 + 4 equals 9.So,
The commutative property for addition states that, a + b = b + a .
Where a, b is any number.
The above condition is satisfied by the equation
4 + 3 = 3 + 47 = 7Therefore, the equation which shows the commutative property of addition is (A) 4+3=3+4.
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The correct question is given below:
Which equation shows the commutative property of addition?
A. 4+3=3+4
B. 1(3)=3
C. (2+7)+12=2+(7+12)
D. 4+0=4
Lakisha’s employer pays $2,150 in health insurance and $86 in life insurance per year. she also gets $3,520 in paid time off per year. her monthly gross pay is $4,370. what are lakisha’s total job benefits per year? a. $5,756 b. $10,126 c. $52,440 d. $58,196 please select the best answer from the choices provided a b c d
Lakisha's total job benefits per year are (D) $58,196.
What are employees' benefits?Employee perks and benefits in kind are non-wage compensation provided to employees in addition to their regular income or salary. A "salary package" or "salary exchange" arrangement is one in which an employee exchanges salaries for some other type of compensation.To find Lakisha's total job benefits:
If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:
Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay
Total Benefits= $2,150+$86+$3,520+12($4,370)Total Benefits= $2,150+$86+$3,520+$52,440Total Benefits=$58,196Therefore, Lakisha's total job benefits per year are (D) $58,196.
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Answer The answer is D
Step-by-step explanation:
I got it correct on edg
Select the correct answer. the diameter of a sphere measures 10.4 inches. what is the surface area of the sphere? a. b. c. d.
The surface area of the sphere is 108.16π in². So, option b is correct.
What is the surface area of a sphere?The surface area of the sphere is calculated by the formula,
A = 4πr²
In terms of diameter - d;
A = 4π × (d/2)²
= 4π × d²/4
= πd² sq. inches
Calculation:The given sphere has a diameter d = 10.4 inches
So, the surface area of the sphere is calculated by
A = πd²
= π × (10.4)²
= 108.16 π sq. inches
So, option b is correct.
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Disclaimer: The given question on the portal is incomplete. Here is the complete question.
Question: Select the correct answer. the diameter of a sphere measures 10.4 inches. What is the surface area of the sphere?
a. 432.64π in²
b. 108.16π in²
c. 54.08π in²
d. 216.32π in²
Answer:
Step-by-step explanation:
The surface area of the sphere is 108.16π in². So, option b is correct.
What is the surface area of a sphere?
The surface area of the sphere is calculated by the formula,
A = 4πr²
In terms of diameter - d;
A = 4π × (d/2)²
= 4π × d²/4
= πd² sq. inches
Calculation:
The given sphere has a diameter d = 10.4 inches
So, the surface area of the sphere is calculated by
A = πd²
= π × (10.4)²
= 108.16 π sq. inches
So, option b is correct.
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Disclaimer: The given question on the portal is incomplete. Here is the complete question.
Question: Select the correct answer. the diameter of a sphere measures 10.4 inches. What is the surface area of the sphere?
a. 432.64π in²
b. 108.16π in²
c. 54.08π in²
d. 216.32π in²
Yu-xi draws a triangle with two angles measuring and . what is the measure, in degrees, of the third angle? 78 79 101 102
Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
Triangle definitionA triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.
In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.
One of the properties of any triangle is that the sum of the interior angles is equal to 180°.
Missing angle value in this caseIn this case, you know that:
One interior angle measures 79°.Another interior angle measures 23°.The sum of the interior angles is equal to 180°.So the value of the missing angle can be calculated by:
79° + 23° + missing angle = 180°
Solving:
102° + missing angle = 180°
missing angle= 180° - 102°
missing angle= 78°
Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
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Answer:
The answer is 78.
Step-by-step explanation:
Person above is right and I'm also taking the test!!
does someone mind helping me with this question? Thank you!
Answer:
4/9
Step-by-step explanation:
.44444.. = 4/9
0.nnnnnnnn.... = n/9
0.mnmnmnmnmn.... = mn/99
and so on
5. (02.02 MC)
Use the graph to fill in the blank with the correct number. (1 point)
f(1) =
Please help quick
[tex]y=\frac{-1}{2\sqrt{x^{3} } }[/tex]
can you put step-by-step no verbal explanation needed how I can get to
[tex]y=\frac{-2}{x\sqrt{x} }[/tex]
The equation y=[tex]-1/2\sqrt{x^{3} }[/tex] does not give result to y=-2/[tex]x\sqrt{x}[/tex].
Given two equations y=[tex]-1/2\sqrt{x^{3} }[/tex] and y=-2/[tex]x\sqrt{x}[/tex].
We are required to find that how the first equation will result in second equation.
Equation is like a relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c. It may be a linear equation,cubic or quadratic equation or many more depending on the power if variable.
Taking the first equation.
y=[tex]-1/2\sqrt{x^{3} }[/tex]
Interchange the power of x.
y=-1/2[tex]\sqrt{x} ^{3}[/tex]
Now multiply [tex]\sqrt{x}[/tex] three times.
y=-1/2[tex]\sqrt{x} \sqrt{x} \sqrt{x}[/tex]
Now [tex]\sqrt{x} \sqrt{x}[/tex] will result in x.
y=-1/2x[tex]\sqrt{x}[/tex]
You can see our result is not matching the second equation.
Hence the equation y=[tex]-1/2\sqrt{x^{3} }[/tex] does not give result to y=-2/[tex]x\sqrt{x}[/tex].
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Find the volume of the parallelepiped determined by the vertices (0, 1, 0), (1, 1, 1), (0, 2, 0), (3, 1, 2)
The volume of the parallelopiped is 1 cubic units.
In this question,
A parallelepiped is a three-dimensional shape with six faces, that are all in the shape of a parallelogram. It has 6 faces, 8 vertices, and 12 edges. The volume of a parallelepiped is the space occupied by the shape in a three-dimensional plane.
Let the parallelepiped be PQRS.
The vertices of parallelepiped are P(0, 1, 0), Q(1, 1, 1), R(0, 2, 0), S(3, 1, 2).
The volume of parallelopiped can be found by using following steps.
PQ = Q - P = (1,0,1)
PR = R - P = (0,1,0)
PS = S - P = (3,0,2)
Now, the volume of parallelopiped is
[tex]v=\left\begin{vmatrix}1&0&1\\0&1&0\\3&0&2\end{vmatrix}[/tex]
The determinant the matrix is
⇒ 1(2-0) - 0(0-0) + 1(0-3)
⇒ 1(2) - 0 + (-3)
⇒ 2 - 3
⇒ -1
Hence we can conclude that the volume of the parallelopiped is 1 cubic units.
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Find the slope of the line grapef below
Answer:
x = 1
Step-by-step explanation:
No matter what y is, x will always be 1.
(1,-4)
(1,-3)
(1,-2)
(1,0)
(1,1)
(1,2) and so on and so on.
Geometry: write formal proofs, ASAP!!!!
Answer:
By the definition of midpoints, AX and CX are congruent. By the definition of segment bisectors, X is the midpoint of BD, and therefore BX and DX are congruent. Since angle AXD and CXB are vertical angles, they are congruent by the vertical angles theorem. By SAS, triangles AXD and CXB are congruent. By CPCTC, angles A and C are congruent. By converse of alternate interior angles theorem, AD is parallel to CB.
