Let V=ℝ3 and let H be the subset of V of all points on the plane 7x−3y+6z=−21. Is H a subspace of the vector space V?
No, H doesn't have the zero vector, since
7•0 - 3•0 + 6•0 = 0 ≠ -21
so H is not a subspace of V.
find the extreme values of \(f(x,y) =x^{2} +y^2\\\)
The function f(x,y) = x² + y² has a minimum value of 0 at the point (0,0) and has no maximum value.
What is a function?
A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.
The function f(x,y) = x² + y² represents the sum of the squares of the variables x and y. To find the extreme values of this function, we need to take the partial derivatives with respect to x and y and set them equal to zero.
∂f/∂x = 2x = 0
∂f/∂y = 2y = 0
From these equations, we can see that the critical point occurs at (x,y) = (0,0).
To determine whether this is the maximum or minimum, we can use the second partial derivative test. The second partial derivatives are:
∂²f/∂x² = 2
∂²f/∂y² = 2
∂²f/∂x∂y = 0
At (0,0), ∂²f/∂x² > 0 and ∂²f/∂y² > 0, so the critical point is a minimum.
Therefore, the function f(x,y) = x² + y² has a minimum value of 0 at the point (0,0) and has no maximum value.
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About % of babies born with a certain ailment recover fully. A hospital is caring for babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. Is the experiment a binomial experiment?
Answer:
This is a binomial experiment .
Step-by-step explanation:
As the percent is not indicated the success is the amount of percent (if given) say it is 10 % . So p will be equal to = 0.1 and q will be = 1-0.1= 0.9
and n would be five or any number as a binomial experiment is repeated for a fixed number of times.
And x would take any value of n i.e.
X= 0,1,2,3,4,5
If it is 20 % . So p will be equal to = 0.2 and q will be = 1-0.2= 0.8
The probability is the number of the percent indicated. But as it is not indicated we assume it to be 10 % or 20 % .Or suppose any number for it to be a binomial experiment.
The number of trials n would be fixed .
The success remains constant for all trials.
All trials are independent.
What's 3 1/8 divided by 2 1/2
The value of 3 1/8 divided by 2 1/2 is 5/4
What are fractions?
Fractions are simply defined as values that are the part of a whole number or the part of a variable.
There are different types of fractions in mathematics. These fractions are;
Proper fractionsImproper fractionsSimple fractionsComplex fractionsMixed fractionsFrom the information given, we have that;
3 1/8 divided by 2 1/2
convert the mixed fractions to improper fractions by multiplying the denominator with the whole number and adding the numerator
25/8 ÷ 5/2
Take the inverse of the divisor
25/8 × 2/5
5/4
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Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
What is the solution of the system of equations
c+3d = 8 and c = 4d - 6?
1) C=-14, d = -2
2) c= -2, d = 2
3) c = 2, d = 2
4) c= 14, d = -2
Answer:
It the 3rd one it's correct cuz i worked it out
Can i have a brainliest please!!:)
Step-by-step explanation:
solve your system by substitution.
c+3d=8;c=4d−6
Rewrite equations:
c=4d−6;c+3d=8
Step: Solve c=4d−6for c:
c=4d−6
Step: Substitute4d−6forcinc+3d=8:
c+3d=8
4d−6+3d=8
7d−6=8(Simplify both sides of the equation)
7d−6+6=8+6(Add 6 to both sides)
7d=14
7d
7
=
14
7
(Divide both sides by 7)
d=2
Step: Substitute2fordinc=4d−6:
c=4d−6
c=(4)(2)−6
c=2(Simplify both sides of the equation)
Answer:
c=2 and d=2
A
4
B
10
2
AABC - ATUV
Find x.
T
C
6
U
X = [?]
X
The unknown length of the similar figure is:
x = 15 units
How to find the unknown length of the similar figure?Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.
Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:
TV/AC = TU/AB
x/10 = 6/4
x/10 = 1.5
x = 10 * 1.5
x = 15 units
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hi! how do i do this?
Answer:
p = 2
Step-by-step explanation:
A rational function has a vertical asymptote where the denominator is zero.
__
Your function will have a denominator that is zero when ...
x -p = 0 ⇒ x = p
We are told there is a vertical asymptote at x = 2. That means ...
p = 2
I need help. I don't get this
Answer:
1) 2(x+1)(x+5)
2) (x-10)(x-4)
Step-by-step explanation:
7-5 proportions of triangles solve for x
The value of x in the proportion is 9.3
How to determine the value of x?From the question, we have the following parameters that can be used in our computation:
Lines in proportions
The proportions mean that
x : 7 = 8 : 6
Express as fraction
x/7 = 8/6
So, we have
x = 7 * 8/6
Evaluate the product
x = 9.3
Hence, the solution is 9.3
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A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give your answer in metres to 1 d.p. 1.46 m 100 73°
The perimeter of the pond is 2.92 meters.
What s a right-angle triangle:
A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.
The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
The perimeter of a right-angled triangle is the sum of the lengths of its three sides.
Here we have
The Hypotenuse of the triangle is 1.46 m
The angle between hypotenuse and perpendicular height = 73°
From triagonometric ratios,
=> cos A = Perpendicular height/ Hypotenuse.
=> cos (73) = Perpendicular height/1.46
=> Perpendicular height = 1.46 × 0.29 = 0.42 m
As we know from Pythagoras' theorem,
Hypotenuse² = side² + side²
Side = √Hypotenuse² - side²
= √[(1.46)²- (0.42)²] = 1.04
Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04
Hence, perimeter of the pond = 1.46 + 0.42 + 1.04 = 2.92 meters
Therefore,
The perimeter of the pond is 2.92 meters.
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The complete Question is given below
How many particles in
9.89 moles of Carbon?
The number of particles in 9.89 moles of carbon is solved to be
5.95 x 10^24 particlesHow to find the number of particles in 9.89 moles of carbonTo determine the number of particles in 9.89 moles of carbon, we can use Avogadro's constant, which is defined as the number of particles (atoms or molecules) in one mole of a substance.
Avogadro's constant is approximately 6.02 x 10^23 particles per mole.
So, the number of particles in 9.89 moles of carbon is:
= 9.89 moles x (6.02 x 10^23 particles/mole)
= 5.95 x 10^24 particles
Therefore, there are approximately 5.95 x 10^24 particles in 9.89 moles of carbon.
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Math 5th grade
The rule for an input/output table is output = x + 2
The output for the expression x+2 will be;
0 = 2
1 = 3
2 = 4
3 = 5
What are functions?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Using the function Output = x + 2
For input x = 0
Output = 0 + 2
Output = 2
For input x = 1
Output = 1 + 2
Output = 3
For input x = 2
Output = 2 + 2
Output = 4
For input x = 3
Output = 3 + 2
Output = 5
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Will mark brainliest!! Look at picture for question please
which expression is equivalent to 6Vg^5, if g> 0
Step-by-step explanation:
Option d is he correct answer.
.....
A system of equations is made up of an ellipse and a hyperbola.
Ok, so
We want to find the equation of an ellipse centered at the origin with a horizontal major axis of 8 units and a minor axis of 6 units.
For this, let's remember the form of the equation of an ellipse:
\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)Where the center of the ellipse is located at the point (h,k).
If the ellipse is centered at the origin, then, h=0 and k=0, so the form of our equation will be:
\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)Now, we're given that our ellipse has a horizontal major axis of 8 units and a minor axis of 6 units. Since the major and minor axis are given by the parameters 2a and 2b, then, a=4 and b=3. the greater number will divide the x² term and a>b.
So, the equation of this ellipse is:
\(\frac{x^2}{16}+\frac{y^2}{9}=1\)The graph of this ellipse will be something like:
What mixed
number represents thirty-eighths?
Answer:
............... 3 6/8
Work out the missing number in this sum:
6.802 6 + 0.8+___
Answer: The answer might be 0.002
Step-by-step explanation: Looking at the number made it look like it.
and pls brainliest if I am right
7,945100 is equal to which number?
Answer:
whats the options
Step-by-step explanation:
the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
1) La suma de dos números es 58. Si uno de los números es 12 más que el otro
número,
cuáles son los números?
Answer:
Los números son 23 y 35.
Step-by-step explanation:
Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?
Set the numbers as x and y. Using the given information, we have two equations:
x+y=58
x=y+12
Solving using substitution, we have:
y+y+12=58 -> y=23
Substituting, x=23+12=35
The numbers are 23 and 35.
I really need help with this ?
There is a straight road between town A and town B of length 130 km.
Maxi travels from town A to town B.
Pippa travels from town B to town A.
Both travel at a constant speed of 40 km/h.
Maxi leaves 30 minutes before Pippa.
Work out how far from town A they will be when they pass each other
They will be when they pass each other at 44 4/9 mins.
This is a classic question on Speed, time, & distance.
1. When time traveled in each segment is constant, then average speed is simple mean of speeds.
2. When distance traveled in each segment is constant, then average speed is reciprocal of simple mean of reciprocal of speeds. It is basically called Harmonic mean.
So this question falls in the category of 2.
=> So, average speed = Reciprocal of mean of reciprocals of 40 & 50.
=> Average speed = Reciprocal of mean of 1/40 & 1/50.
=> Average speed = Reciprocal of (1/40 + 1/50)/2
= Reciprocal of (5+4)/400
= 44 4/9 mins
Hence, they will be when they pass each other at 44 4/9 mins.
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interest : 40principal: xrate: 1.66%time : 4
The simple interest is given by:
\(I=PVrt\)Where:
PV = Present value or principal
I = Interest
r = rate
t = time
Solve for PV:
\(\begin{gathered} PV=\frac{I}{rt} \\ so\colon \\ PV=\frac{40}{0.0166\cdot4} \\ PV=602.4 \end{gathered}\)Answer:
$602.4
What number has 9 tens, 7 fewer thousands than tens, the same number of hundreds as
thousands, and 1 fewer one than tens?
Answer:
123456678890
Step-by-step explanation:
I think this is the answer
171. Solve the formula
the picture quality is low
Step-by-step explanation:
therefore I can't give answer of your question
Which value of n makes this equation true?
3n + 3
5
5n– 1
9
OA.
n=-16
OB.
n=-2
O C.
n= 2
OD.
n = 16
Answer:
the answer is A. -16
Step-by-step explanation:
3(-16)+3= -45
-45/5=
-9
5(-16)-1=-81
-81/9=
-9
-9=-9
50 is 12 1/2 % of what number
Answer:
4
Step-by-step explanation:
50 is 12\(\frac{1}{2}\)% of 400.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
50 is 12\(\frac{1}{2}\)% of {x}.
We can write the expression as -
50 = (25/2)/100 {x}
50 = (25/2) x (1/100) {x}
50 = {x}/8
{x} = 400
Therefore, 50 is 12\(\frac{1}{2}\)% of 400.
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12. One endpoint of a segment is (-3,5). The
midpoint of this segment is (4, -1). What is
the coordinate of the other endpoint?
Answer:
I dontnknow this answer
Step-by-step explanation:
Because i havent learn this
What do you learn about the Number Devil from the
passage?
O The Number Devil is bad at math.
"You've hit the nail on the head, my boy," the devil
replied. "The thing that makes numbers so devilish is
precisely that they are simple. And you don't need a
calculator to prove it. You need one thing and one thing
only: one. With one - I am speaking of the numeral, of
course - you can do almost anything. If you are afraid of
large numbers - let's say five million seven hundred and
twenty-three thousand eight hundred and twelve - all
you have to do is start with
The Number Devil admires intelligence,
The Number Devil is impatient.
The Number Devil hates children.
1+1+1...
and go on until you come to five million etcetera. You
can't tell me that's too complicated for you, can you? Any
idiot can see that."
Answer:
its c!
Step-by-step explanation:
trust me on this!
Answer:
c
Step-by-step explanation:
the other person
What is the equation of the line at passes?
What is the slope of the line that produced the following table on your calculator?
Answer:
7. y=1/4x
8. m= 2
Step-by-step explanation:
i hope this helps :)