Answers
9514 1404 393
Answer:
(f) Plane CEA or Plane CAD
Step-by-step explanation:
The name must include three points that are in the plane and not all on the same line. That is, the name will not include either of points B or F, and must include point C. The only names listed that are appropriate are ...
Plane CEA or Plane CAD
Related Questions
(x^2y+e^x)dx-x^2dy=0
Answers
It looks like the differential equation is
[tex] \left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0[/tex]
Check for exactness:
[tex]\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x[/tex]
As is, the DE is not exact, so let's try to find an integrating factor µ(x, y) such that
[tex] \mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0[/tex]
*is* exact. If this modified DE is exact, then
[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}[/tex]
We have
[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu[/tex]
Notice that if we let µ(x, y) = µ(x) be independent of y, then ∂µ/∂y = 0 and we can solve for µ :
[tex]x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}[/tex]
The modified DE,
[tex]\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0[/tex]
is now exact:
[tex]\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}[/tex]
So we look for a solution of the form F(x, y) = C. This solution is such that
[tex]\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}[/tex]
Integrate both sides of the first condition with respect to x :
[tex]F(x,y) = -e^{-x}y - \dfrac1x + g(y)[/tex]
Differentiate both sides of this with respect to y :
[tex]\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C[/tex]
Then the general solution to the DE is
[tex]F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}[/tex]
What is the parent function of the graph?
y = |x| + 4
y = |x|
y = |x| – 4
y = |x – 4|
Answers
Answer:
y = |x| – 4
Step-by-step explanation:
If we substitute x as 0, we get -4 therefore this is the answer.
What is the slope of the line?
Answers
Answer:
-5/9
Step-by-step explanation:
The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things
Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work
Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.
If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.
[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} [/tex]
Identify the segment bisector of RS.
12
S
R
M
OMS
RM
6
OS
O lines
The length of RS is O
Answers
Answer:
s
RS = 24
Step-by-step explanation:
A bisector, in mathematics, is a two-dimensional line or line segment that divides another two-dimensional shape in half. In this case, as per the given drawing line (s) divides the line (RS) in half. This is indicated by the two small red lines on either side of the line (s) on the line (RS), signifying that the two segments are congruent. Thus, proving that line (s) bisects line (RS).
The length of line (RS) is is twice the length of line (RM), thus line (RS) is (24).
Hi, Can you solve it?
Answers
Answer:
57
Step-by-step explanation:
Which of the
following numbers
falls between 8 and 9
on the number line
square root of 75 or square root of 100?
Answers
Answer: [tex]\sqrt{75}[/tex]
================================================
Explanation:
Square both 8 and 9 to get
8^2 = 8*8 = 649^2 = 9*9 = 81Since 75 is between 64 and 81, this means [tex]\sqrt{75}[/tex] is between 8 and 9
Put another way, we can say this:
[tex]64 < 75 < 81\\\\\sqrt{64} < \sqrt{75} < \sqrt{81}\\\\\sqrt{8^2} < \sqrt{75} < \sqrt{9^2}\\\\8 < \sqrt{75} < 9\\\\[/tex]
Or we could use a calculator to find that:
[tex]\sqrt{75} \approx 8.66[/tex] [tex]\sqrt{100} = 10[/tex]Which is another way to see why [tex]\sqrt{75}[/tex] is between 8 and 9.
how much is 72 kilograms in pounds
Answers
Answer:
158.733 that's the answer
9514 1404 393
Answer:
about 159 pounds
Step-by-step explanation:
The exact conversion factor from kilograms to pounds is ...
1 lb = 0.45359237 kg
So, to find the number of pounds, you multiply:
[tex]72\text{ kg}\times\dfrac{1\text{ lb}}{0.45359237\text{ kg}}\approx\boxed{158.7328\text{ lb}}[/tex]
The conversion is often approximated by 1 kg = 2.2 lb, which gives an answer that is about 0.21% low.
Please i need your help to solve this question. I will give the brainliest.
Answers
Step-by-step explanation:
The angle between vectors is given by
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|}[/tex]
The magnitudes for the vectors are as follows:
[tex]|\vec{\textbf{a}}| = \sqrt{a_x^2 + a_y^2 + a_z^2}[/tex]
[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 +(-5)^2 + (3)^2} = 6.16[/tex]
[tex]|\vec{\textbf{b}}| = \sqrt{b_x^2 + b_y^2 + b_z^2}[/tex]
[tex]\:\:\:\:\:\:\:= \sqrt{(3)^2 + (1)^2 + (4)^2} = 5.10[/tex]
The dot product between the vectors is
[tex]\vec{\textbf{a}}\cdot \vec{\textbf{b}} = (2)(3) + (-5)(1) + (3)(4) = 13[/tex]
Therefore, the angle between the two vectors is
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|} = \dfrac{13}{(6.16)(5.10)}[/tex]
or
[tex]\theta = 65.56°[/tex]
!!PLEASE HELP!!! FOR 30 POINTS
According to the graph of the rational function
y= 4/x^2-4
which of the following statements is/are true?
I. The function is even
II. The function is increasing for all values in the domain
III. There is a horizontal asymptote along the x-axis,
I only
I and II only
I and Ill only
I, II and III
Answers
9514 1404 393
Answer:
I and III only
Step-by-step explanation:
The graph is symmetrical about the y-axis, so is an even function.
The function is decreasing in the 1st quadrant, so is not increasing everywhere.
The values of the function approach y=0 for extreme values of x, so the graph shows that as a horizontal asymptote.
I and III only
1/3 of the pencils in a jar are red and the remaining 10 are green. How many are red.
Answers
Answer:
There are 5 red ✎ pencils
Step-by-step explanation:
fraction of green pencils:
[tex] = 1 - \frac{1}{3} \\ \\ = \frac{2}{3} [/tex]
let total pencils be x :
[tex] \frac{2}{3} \: of \: x = 10 \: green \: pencils \\ \\ \frac{2}{3} \times x = 10 \\ \\ 2x = 3 \times 10 \\ x = \frac{3 \times 10}{2} \\ \\ x = 15 \: pencils[/tex]
Total pencils = 15
Red pencils:
[tex] = 15 - 10 \\ = 5 \: pencils[/tex]
A game involves a spinner that is evenly separated into four sections. To play the game, a player spins the spinner three times. What is the number of individual outcomes when spinning the wheel three times
Answers
Answer:
Step-by-step explanation:
4 Section on the spinner and three spins:
4^3=64
The number of individual outcomes when spinning the wheel three times is 64 times
What is power in mathematics?In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.
A power exists as the product of multiplying a number by itself. Usually, power is illustrated with a base number and an exponent. The base number tells what number exists being multiplied. The exponent, a small number written beyond and to the right of the base number, tells how many times the base number exists being multiplied.
Given
Sections = 4
no. of spinners per player = 3
no. of spinners per player per game = 4 ³ = 4 * 4 * 4 = 64
To know more about power in mathematics refer to :
https://brainly.com/question/960886
#SPJ2
Tickets to the county fair cost $12 for each adult and$7 for each child write and evaluate an expression to find the cost for 3 adults and 6 children
Answers
Evaluate just means find the answer once you set up the expression
Which expression has the same value as 97.6 – (-77.8)?
77.8 + (-97.6)
97.6 – 77.8
Submit Answer
0–77.8 – 97.6
97.6 + 77.8
Answers
Answer:
97.6 + 77.8
Step-by-step explanation:
97.6-(-77.8)
= 97.6+77.8
97.6+77.8= 175.4
97.6-(-77.8) = 175.4
Problem: A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on, until there are 200 logs in the bottom row.
Answers
Answer:
100 rows
Step-by-step explanation:
what is the greatest common factor of 97 and 24?
Answers
Answer:
1
Step-by-step explanation:
The GCF of 24 and 97 can be obtained like this:
The factors of 24 are 24, 12, 8, 6, 4, 3, 2, 1. The factors of 97 are 97, 1. The common factors of 24 and 97 are 1, intersecting the two sets above. In the intersection factors of 24 factors of 97, the greatest element is 1. Therefore, the greatest common factor of 24 and 97 is 1.From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
Answers
Explanation:
If you plug in 6(2+40)= 252
Using PEMDAS, solve in the parentheses first! which will be 42.
6(42)=252
6 x 42 = 252
making x=2 because plugging in x makes this equation true
252= 252
A sofa is on sale for $442, which is 85% of the regular price.
Answers
X*0.85 =442$ /0.85
X = 442$/0.85
X = 520$
Regular price is:520$
[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]
Original price is 520
pelase asnwer da question
Answers
Answer:
D
Step-by-step explanation:
I think its D because you multiple the number that is out of the the bracket with the numerators..
so its
a^4/b^12
If 4(x-3)=16, what does 8x equal
Answers
Answer:
Step-by-step explanation:
4(x-3) =16
4x- 12=16
4x=28
8x=56
Answer:
8x = 56
Step-by-step explanation:
Solve for x by isolating it.
Divide both sides by 4
(x-3) = 4
Add 3 to both sides
x = 7
Now plug 7 in for x
8(7) = 56
write two ratios that are equivalent to 1:1
Answers
Answer:
2:2 3:3
Step-by-step explanation:
The perimeter of a playing field for a certain sport is 178 ft. The field is a rectangle, and the length is 43 ft longer than the width. Find the dimensions
The width of the playing field is
(Type an integer or a decimal.)
Answers
Answer:
23 and 66 are the dimensions
Step-by-step explanation:
178/2=89
89+43=132
178-132=46
132/2=66
46/2=23
(I think this is the answer I'm so sorry if I am wrong)
CAN U PLEAS HELP ME SIMPLIFY THIS AND PLEASE EXPLAIN YOUR REASONING THOROUGHLY BEHIND THIS
[tex]\sqrt{8}+\sqrt{50}[/tex]
Answers
Answer:
7√2Step-by-step explanation:
Given:
√8 + √50We can see that:
8 = 4*2 = 2²*2 and50 = 25*2 = 5²*2Since 2² and 5² are perfect squares we get:
√8 + √50 = 2√2 + 5√2 =(2 + 5)√2 = 7√2[tex]\\ \sf\longmapsto \sqrt{8}+\sqrt{50}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}[/tex]
[tex]\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto (2+5)\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto 7\sqrt{2}[/tex]
plz help me do this thanks
Answers
The only information given is that DMH is an obtuse angle and would be greater than 90 degrees and would be no more than 180 degrees because it’s half the circle and angle DMB would be added to DMH to make 180 degrees. Because no other angle measures are given, there isn’t a way to find the degree measure.
(7 ten thousand 5 hundreds) x 10
Answers
Answer:
The answer is 705,000
Step-by-step explanation:
pls mark brainlest
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
Here,
The written expression is,
(7 ten thousand 5 hundreds) x 10
We have to find the value of given written expression.
What is Mathematical expression?
Mathematical expression is a finite combination of symbols that is well-formed according to the rules.
Now,
The written expression is,
⇒ (7 ten thousand 5 hundreds) x 10 = 70, 500 x 10 = 705,000
Hence,
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
Learn more about the Mathematical expression visit:
https://brainly.com/question/1859113
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Help!!!
In addition to fuel and maintenance, Rachel pays
$1,000 a year for insurance. The equation
C = (0.05 + 0.14) + 1,000 x shows the cost C, in
dollars, of owning and operating the car for a year as
a function of x, the number of miles driven in a year.
What does the slope of the graph of this function
represent?
Answers
Answer:
a function of x, the number of miles driven in a year.
Step-by-step explanation:
The slope of the line represents the cost of the maintenance and the cost of the fuel. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
In addition to fuel and maintenance, Rachel pays $1,000 a year for insurance. The equation will be
C = (0.05 + 0.14)x + 1000
C = 0.19x + 1000
Then the slope of the line will be
Slope = 0.19
The slope of the line represents the cost of the maintenance and the cost of the fuel.
More about the linear system link is given below.
https://brainly.com/question/20379472
Find the value of x.
Answers
9514 1404 393
Answer:
x = 50°
Step-by-step explanation:
The angle marked 73° is the average of the arcs marked 96° and x.
(x +96°)/2 = 73°
x = 2(73°) -96° . . . . solve for x
x = 50°
__
Additional comment
Then z = 360° -50° -114° -96° = 100°.
Find the perimeter and area of the figure below
Answers
(4,2),(-6-6) what’s the answer
Answers
Answer:
what are we finding
Are we to derive an equation of a straight line
Find the formula for the nth term for the following sequence.
3, 9, 27, 81..
1. A(n) =3(3^n-1)
2. A(n) =3^n-1
3. A(n) =3(3^n)
Answers
Step-by-step explanation:
everything can be found in the picture
Answer:
It is 1. A(n) =3(3^n-1)
Step-by-step explanation:
It is a geometric progression
General recursive formular:
[tex]a_{n} = a( {r}^{n-1} )[/tex]
a » first term, a = 3
r » common difference, r = 9 ÷ 3 = 3
n » number of terms
[tex]A(n) = 3( {3}^{n-1} )[/tex]
______________end_____________________
further more:
[tex]A(n) = {3}^{(n)} [/tex]
Simplify -4+8-2 and 8-(-3)-5
Answers
Answer:
-2 and 6
Step-by-step explanation:
[tex] - 4 + 8 - 2[/tex]
[tex] - 6 + 8[/tex]
[tex] = - 2[/tex]
○●○●○●○●○●○●○●○●○●○●○●○●○●○
[tex]8 - ( - 3) - 5[/tex]
[tex]8 + 3 - 5[/tex]
[tex] = 6[/tex]