Make q the subject of the formula p = 2q2 .
Answers
Answer:
q = ± p/2
Step-by-step explanation:
Given
p = 2q² ( divide both sides by 2 )
= q² ( take the square root of both sides )
± = q p/2
Step-by-step explanation:
\(p = 2q^2\\q^2 = \frac{1}{2}p\\q = \pm\sqrt{\frac{1}{2}p}\\q = \pm \frac{1}{2}\sqrt{2p} \qed\) Q.E.D.
Related Questions
Will mark Brainlyest Use the properties of exponents to simplify the expression(y^3/2 X^-1/2)^4
Answers
Answer:
the answer would be y^6/x^2
Step-by-step explanation:
so (Y) to the sixth power over (X) to the second power
For each of these relations on the set (1, 2, 3, 4). decide whether it is reflexive, symmetric, antisymmetric, and transitive. a. R1 = {(2, 2), (2.3), (2,4),(3,2), (3, 3), (3, 4); b. R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)} c. R3 = {(2,4),(4,2)) d. R4 = {(1,2), (2, 3), (3, 4); d. R5 = {(1, 1), (2, 2), (3, 3), (4,4)}
Answers
The following are the relations on the set (1, 2, 3, 4), which are reflexive, symmetric, antisymmetric, and transitive:
a. R1 = {(2, 2), (2, 3), (2,4),(3,2), (3, 3), (3, 4)}
Reflexive: The relation R1 is not reflexive since (1,1), (2,2), (3,3), and (4,4) are missing. Symmetric: The relation R1 is not symmetric since (2,3) is an element of R1 but (3,2) is not an element of R1.
Antisymmetric: The relation R1 is not antisymmetric since (2,3) and (3,2) are elements of R1 but 2 ≠ 3.
Transitive: The relation R1 is transitive since the ordered pairs satisfy the transitive condition.
b. R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)}
Reflexive: The relation R2 is reflexive since all the diagonal elements are present. Symmetric: The relation R2 is symmetric since if (a,b) is an element of R2, then (b, a) is also an element of R2.
Antisymmetric: The relation R2 is antisymmetric since if (a,b) and (b, a) are elements of R2, then a = b.
Transitive: The relation R2 is transitive since the ordered pairs satisfy the transitive condition.
c. R3 = {(2,4),(4,2)}
Reflexive: The relation R3 is not reflexive since (1,1), (3,3), and (4,4) are missing.
Symmetric: The relation R3 is symmetric since (2,4) and (4,2) are both elements of R3.
Antisymmetric: The relation R3 is antisymmetric since if (a,b) and (b, a) are elements of R3, then a = b.
Transitive: The relation R3 is not transitive since (2,4) and (4,2) are elements of R3, but (2,2) is not an element of R3.
d. R4 = {(1,2), (2, 3), (3, 4)}
Reflexive: The relation R4 is not reflexive since (1,1), (2,2), (3,3), and (4,4) are missing.
Symmetric: The relation R4 is not symmetric since (1,2) is an element of R4, but (2,1) is not an element of R4. Antisymmetric: The relation R4 is antisymmetric since if (a,b) and (b, a) are elements of R4, then a = b.
Transitive: The relation R4 is transitive since the ordered pairs satisfy the transitive condition.
e. R5 = {(1, 1), (2, 2), (3, 3), (4,4)}
Reflexive: The relation R5 is reflexive since all the diagonal elements are present.
Symmetric: The relation R5 is symmetric since if (a,b) is an element of R5, then (b, a) is also an element of R5.
Antisymmetric: The relation R5 is antisymmetric since if (a,b) and (b, a) are elements of R5, then a = b.
Transitive: The relation R5 is transitive since the ordered pairs satisfy the transitive condition.
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Quadrilateral PQSR is similar to quadrilateral FGHI and QSGH=53.
What is the ratio of the area of PQSR to the area of FGHI?
85
253
259
53
Answers
Answer:
25/9 is the answer
the ratio of the area of PQSR to the area of FGHI is 25/9. The correct answer is:
25/9
To find the ratio of the area of quadrilateral PQSR to the area of quadrilateral FGHI, we can use the property that the ratio of the areas of two similar figures is the square of the ratio of their corresponding side lengths.
Given that quadrilateral PQSR is similar to quadrilateral FGHI, we know that the ratio of corresponding side lengths is QSGH = 5/3.
Now, let's find the ratio of the areas:
Ratio of areas = (QSGH)² = (5/3)² = 25/9
So, the ratio of the area of PQSR to the area of FGHI is 25/9. The correct answer is:
25/9
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josh bought 8 items at wholesale price. he sold them all for $20 and made $10 profit. what was the wholesale price of each item?
Answers
Answer:
4items
Step-by-step explanation:
bought 8items
p=10%
10\20×8
Ms. F arrived at the Wizarding World of Harry potter at 9:12 am. It took her 1 hour and 16 minutes to get there from leaving her house. What time did she leave her house?
Answers
Answer:
She left her house at 7:56 am
Step-by-step explanation:
What is the measure of an exterior angle of a regular polygon with 80 sides
Answers
Solution:
Given:
\(n=80\text{ sides}\)The sum of exterior angles of a polygon is 360°.
The formula for calculating the size of an exterior angle is;
\(Each\text{ e}xterior\text{ angle, }\theta=\frac{360^0}{n}\)Hence,
\(\begin{gathered} \theta=\frac{360}{80} \\ \theta=4.5^0 \end{gathered}\)Therefore, the measure of each exterior angle of a regular polygon with 80 sides is 4.5 degrees.
Evaluate the following integral: ∫
0
4
te
−(t−2)
cos(πt)δ(t−2)u(t+1)dt a) 1 b) 2 c) 3 d) 4 e) None of the other answers is correct Problem 11 Consider a balanced three-phase circuit with a Y source and Δ load. Assume a positive phase sequence. Which of the following statements is true. a) Line current at the source and phase current at the source have the same magnitude. b) Line current equals phase current at the load. c) Line voltage at the source equals phase voltage at the source d) Line voltage amplitude at the load equals amplitude of the phase voltage at the load divided by
3
. e) None of the other answers is correct Problem 12 Consider a balanced three-phase Y−Y circuit with positive phase sequence. The phase voltage at the source is
V
~
an
=100x0
∘
Vrrm. The line impedance is Z
line
=1+j2Ω. The load impedance is Z
L
=2+j2Ω. Calculate the line voltage
V
~
AB
. a) 32.7×21.9
∘
Vrrms b) 56.6x−8.1
∘
V rms c) 74.8x−45
∘
V rms d) 98.0×21.9
∘
V rms e) None of the other answers is correct
Answers
Regarding the multiple-choice problems, I see that you have included three separate problems. To provide the answers within the specified word limit, I will list the correct options for each problem:
Problem 11: The correct answer is **b) Line current equals phase current at the load**. In a balanced three-phase circuit with a Y source and Δ load, the line current is equal to the phase current at the load.
Problem 12: The correct answer is **c) 74.8x−45∘V rms**. Given the specified values for phase voltage, line impedance, and load impedance, the calculation yields a line voltage of 74.8x−45∘V rms.
I hope this clarifies the answers to the given problems. If you have any further questions, please let me know!
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is the relation shown below a function? Explain.
(4, 16), (5, 25), (3, 9), (6, 36), (2,4), (1, 1)
Answers
Answer:
4•4=16
5•5=25
3•3=9
6•6=36
2•2=4
1•1=1
What is the supplement to: 101 degrees?
Answers
Answer:
79 degrees
Step-by-step explanation:
180 - 101 = 79
between whitch two numbers will you find 12.138 12.0 and 12.1 12.1 and 12.2 12.2 and 12.3 12.3 and 12.4
Answers
Between 12.1 and 12.2
Step-by-step explanation:
12.138 has 12.1 in it, so it's between 12.1 and it's next tenth, 12.2
Hope that helped,
-sirswagger21
A gardener has two different strengths of weedkiller: a 6% solution and a 15% solution, some of each solution needs to be mixed together to make 30 litres of a 10% solution. How much of each kind of solution is required?
Answers
Answer:
Approximately 16.67 liters concentration of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.
Step-by-step explanation:
Let's denote the amount of the 6% solution as x liters and the amount of the 15% solution as y liters. We need to find the values of x and y that satisfy the conditions.
Since we want to make 30 liters of a 10% solution, we can set up the following equations:
Equation 1: x + y = 30 (total volume equation)
Equation 2: (0.06x + 0.15y) / 30 = 0.10 (concentration equation)
From Equation 1, we have x = 30 - y. Substituting this into Equation 2, we get:
(0.06(30 - y) + 0.15y) / 30 = 0.10
Simplifying the equation gives:
(1.8 - 0.06y + 0.15y) / 30 = 0.10
1.8 + 0.09y = 3
0.09y = 1.2
y ≈ 13.33
Substituting y back into Equation 1, we find:
x + 13.33 = 30
x ≈ 16.67
Therefore, approximately 16.67 liters of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.
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Please help! Write the expression for each sentence below.
1. the sum of 6 and t = 6+ t
2. the product of s and 12
3. the difference of 6 from 10
4. the quotient of 6 divided by t
5. 17 less than 20
6. increase s by 2s
7. decrease 10 by r
8. add 7 times x and 4 times s
9. the quotient of 17 minus 12 and 2
10. the product of 2 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 8 and 6 by a number
Answers
Answer: 1. the sum of 6 and t = 6+ t 2. the product of s and 12 3. the difference of 6 from 10 4. the quotient of 6 divided by t 5. 17 less than 20
Step-by-step explanation:
Which decimal represents
(3 X 1) + (1 X 0.1) + (4 X 0.001)
written in standard form?
Answers
=================================================
Explanation:
For these type of problems, it helps to do a grid so you can line up the digits.
Check out the diagram below to see what I mean.
The 3 from "3x1" means we have 3 in the units digit
The first "1" from "1x0.1" means we have 1 in the tenths digit
The 4 in 4x0.001 means we have a 4 in the thousandths digit
There's a 0 in the hundredths digit as just a gap or placeholder so to speak. We can think of it as 0x0.01
How much commission will be of Rs. 2,00,000 at the rate of 10%?
Answers
Answer:
bro si would be 20000 and time would be 1 year because rate is in per annum or per year.
Convert the equation of the line y + 5 = -3(x - 6) into slope intercept form.
Answers
____________ is an economic and political doctrine that emphasized free trade and the constitutional guarantee of individual rights such as freedom of speech and religion.
Answers
The economic and political doctrine that emphasizes free trade and the constitutional guarantee of individual rights, such as freedom of speech and religion, is called liberalism.
Liberalism is a political and economic ideology that promotes individual freedom, limited government intervention, and free market principles. It emphasizes the importance of protecting individual rights, including civil liberties such as freedom of speech, religion, and assembly. Liberalism advocates for a system of governance that ensures equality under the law and encourages free trade and open markets. Economic liberalism promotes free trade and opposes government restrictions or regulations on business and commerce. It supports the idea of a market economy where prices are determined by supply and demand and individuals have the freedom to engage in economic activities. In the context of politics, liberalism advocates for democratic principles, constitutionalism, and the protection of individual rights as essential components of a just and prosperous society.
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I serious help. a ton
Answers
Answer:
Since BD bisects Angle ABC, Angle ABD = Angle DBC
\(3x+6=7x-18\)
Subtract 6 from both sides:
\(3x+6-6=7x-18-6\)
\(3x=7x-24\)
Subtract 7x from both sides:
\(3x-7x=7x-24-7x\)
\(-4x=-24\)
Divide both sides by -4:
\(\frac{-4x}{-4}=\frac{-24}{-4}\)
\(x=6\)
Angle \(ABD=3x+6=3(6)+6=18+6=24\)
Angle \(CBD=7x-18=7(6)-18=42-18=24\)
Angle \(ABC=ABD+CBD=24+24=48\)
Answer:
m<ABD= 6
m<CBD= -18
m<ABC= -108
Step-by-step explanation:
If in a population the rate of mutation that converts the A allele to the a allele is 10^-6 and the current frequency of the A allele is 0.75 and the a allele is 0.25, then the frequency of the A and a alleles in the next generation will be
Multiple Choice
O A: 0.74 a: 0.26
O A: 0.75000075 a: 0.24999925
O A: 0.75 a: 0.25
O A: 0.74999925 a: 0.25000075
Answers
The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m
where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925
And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075
Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.
This is option D.
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The number of minutes, m, that it takes to
print a batch of newspapers is inversely
proportional to the number of printers used,
n.
The equation of proportionality is m =
100
n
Calculate how long it will take to print a
batch of newspapers if 20 printers are
used.
If your answer is a decimal, give it to 1 d. p.
Answers
It will take 5 minutes to print a batch of newspapers if 20 printers are used.
What is proportionality?
Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.
We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:
m = k/n
where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:
m = 100/n
To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:
m = 100/20 = 5
So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.
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Write the equation of a line that is perpendicular to the given line and that passes through the given point. Hurry Please!
y-3=-1/5(x+2); (-2,7)
A. y=5x+7
B. y=5x+17
C. y=(1/5)x-2
D. y=-2x+3
Answers
Answer:
y = 5x + 17 (Answer B)
Step-by-step explanation:
We are given in point slope form the equation of a line: y - 3 = (-1/5)(x + 2). Directly from this equation we can find the slope: -1/5.
The slope of any line perpendicular to the given line is the negative reciprocal of the slope of the given line: Here it is +5.
Using the slope-intercept formula y = mx + b, we replace y with 7, x with -2 and m with 5, obtaining:
7 = 5(-2) + b, which simplifies to 7 = -10 + b. Thus, b = 17.
The desired equation is thus y = 5x + 17 (Answer B)
A scale on a map shows that 333 centimeters represents 101010 kilometers.What number of centimeters on the map represents an actual distance of 252525 kilometers?
Answers
333:101010
So we need to find out what the ratio is for
? : 252525
To do this we do 252525/ 101010 which is 2.5
We now know that 101010 x 2.5= 252525 so to put this in ratio we must do
333:101010
multiplied by 2.5 to get
832.5 : 252525
So the number of centimetres is 832.5cm
Help asap! Test Tmr
Number 19
Answers
The sοlutiοns are x = 0 and x = ±1.
What is pοlynοmial functiοn?A pοlynοmial functiοn is a functiοn that invοlves οnly nοn-negative integer pοwers οr οnly pοsitive integer expοnents οf a variable in an equatiοn like the quadratic equatiοn, cubic equatiοn, etc. Fοr example, 2x+5 is a pοlynοmial that has expοnent equal tο 1.
A pοlynοmial functiοn can be expressed in the fοrm οf a pοlynοmial. The definitiοn can be derived frοm the definitiοn οf a pοlynοmial equatiοn. A pοlynοmial is generally represented as P(x). The highest pοwer οf the variable οf P(x) is knοwn as its degree. Degree οf a pοlynοmial functiοn is very impοrtant as it tells us abοut the behaviοur οf the functiοn P(x) when x becοmes very large. The dοmain οf a pοlynοmial functiοn is entire real numbers (R).
Let u = x² + 3, then the equatiοn becοmes u² - 7u + 12 = 0.
This quadratic equatiοn can be factοred as (u - 3)(u - 4) = 0.
Therefοre, u = 3 οr u = 4.
Substituting back in fοr u, we get:
Fοr u = 3: x² + 3 = 3 => x² = 0 => x = 0
Fοr u = 4: x²+ 3 = 4 => x² = 1 => x = ± 1
Therefοre, the sοlutiοns are x = 0 and x = ± 1.
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If an equilateral triangles sides are 8 inches long, what is the height?
I think it’s 8.48 but i’m not sure.
Answers
Answer:
6.93
Step-by-step explanation:
formula to find height of equilateral triangle is \(\frac{\sqrt{3} }{2} *A\) A is the side of the equilateral triangle
Answer:
6.93 inches
(first option listed)
Step-by-step explanation:
we can find the height of this triangle by turning it into a right triangle, and then using the Pythagorean Theorem
(process shown in photo)
hope this helps!! have a lovely day :)
Find five rational numbers between -1/2 and 4/7
Answers
The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
According to the statement
we have to find that the rational numbers.
So, For this purpose, we know that the
Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
From the given information:
The given numbers are between -1/2 and 4/7
Then to find the numbers then
Rational numbers = (-1/2 +4/7) /2
Rational numbers = (-1 +2/7)
Rational numbers = -5/7.
And then the number becomes -6/7, 2/7,3/7.
Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
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The trip from Carville to Nikpath requires $4\frac 12$ hours when traveling at an average speed of 70 miles per hour. How many hours does the trip require when traveling at an average speed of 60 miles per hour? Express your answer as a decimal to the nearest hundredth.
Answers
From the given speed and time, the distance of the trip can
be determined.
Correct response;
Number of hours the trip will take when traveling 60 mph is \(\underline{5\frac{1}{4} \ hours}\) How is the time taken at a given speed calculated?Given;
Time required for the trip from Carville to Nikpath = \(4\frac{1}{2}\) hours
Average speed for the trip = 70 mph
Required;
The duration of the trip when traveling 60 mph
Solution;
Distance = Velocity × Time
Distance of trip = \(\mathbf{4\frac{1}{2}}\) hour × 70 miles/hour = 315 miles
Duration of trip when traveling 60 mph is therefore;
\(Time = \dfrac{315 \, miles}{60 \ miles/hour} = 5.25 \ hours = \mathbf{ 5\frac{1}{4} \ hours}\)
Duration of trip when traveling 60 mph = \(\underline{5\frac{1}{2} \ hours}\)
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is a parallelogram. is the midpoint of . and trisect .
Let ⃗⃗⃗⃗⃗ = ⃗ and ⃗⃗⃗⃗⃗ = . Show your work on the diagram as well.
Answers
Answer:
option 6b):) is correct
5. Find the values of x and y:
X:______________
Y:_____________
Answers
Answer:
x8 y9
Step-by-step explanation:
A line passes through the points (−4, −18) and (0, 2). Which is an equation of the line?
Answers
Answer:
y=5x+2
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-4,-18), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-4 and y1=-18.
Also, let's call the second point you gave, (0,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=0 and y2=2.
Now, just plug the numbers into the formula for m above, like this:
m= (2 - -18)
------------
(0 - -4)
or...
m= 20
-------
4
or...
m=5
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=5x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-4,-18). When x of the line is -4, y of the line must be -18.
(0,2). When x of the line is 0, y of the line must be 2.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=5x+b. b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-4,-18) and (0,2).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(-4,-18). y=mx+b or -18=5 × -4+b, or solving for b: b=-18-(5)(-4). b=2.
(0,2). y=mx+b or 2=5 × 0+b, or solving for b: b=2-(5)(0). b=2.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(-4,-18) and (0,2)
is
y=5x+2
what is the actual height of the light house
Answers
Answer: 32 m
Step-by-Step Explanation:
I’m a bit stuck on this question can I use a little help?
Answers
Answer:
x = 6; XZ = 27cm
Step-by-step explanation:
Since 4x + 3 is the whole line and the other two equations equal the full line, I will set up the equation as 4x + 3 = the sum of the other two lines since they are equal to each other.
4x + 3 = 8 + 2x + 7
4x + 3 = 15 + 2x
Isolate the variable
Subtract 2x from both sides
2x + 3 = 15
Subtract 3 from both sides
2x = 12
Divide 2 from both sides
x = 6
To solve for the full line, plug in 6 for x for the equation that represents the full line
4(6) + 3
24 + 3
27