Answers
V=282.74334 or approximately 282.74
Related Questions
Please help I got this question wrong and I am not sure why
Answers
The partial derivatives for this problem are given as follows:
[tex]\frac{\partial z}{\partial x} = -\frac{x}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex][tex]\frac{\partial z}{\partial y} = -\frac{4y}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]How to find the partial derivatives of a function?To find the partial derivatives of a function, we apply the same rules that we apply for complete derivatives, just considering the variables for which we are not deriving the function as constants.
For this problem, the function is given as follows:
x² + 4y² + 7z² = 1.
The function for z is given by:
7z² = 1 - x² - 4y²
[tex]z = \sqrt{\frac{1 - x^2 - 4y^2}{7}}[/tex]
As a function of x, the derivative will be given by:
[tex]\frac{\partial z}{\partial x} = -\frac{x}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]
Because the derivative of the inside term as a function of x is of -2x, then we apply the derivative of the root and simplify -2 with 2.
For the derivative as a function of y, we follow the same procedure, with the lone difference being the the inside derivative is of -8y, then:
[tex]\frac{\partial z}{\partial y} = -\frac{4y}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]
More can be learned about partial derivatives at https://brainly.com/question/17030339
#SPJ1
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument?
Answers
The 50% probability that a student chosen randomly from the class does not play a sport.
According to the statement
We have to find that the probability.
So, For this purpose, we know that the
Probability is that the branch of mathematics that studies the possible outcomes of given events along with the outcomes' relative likelihoods and distributions.
From the given information:
In a class of scholars, the subsequent data table summarizes what percentage students play an instrument or a sport.
Then
In total, there are 8 + 7 + 3 + 12 = 30 students.
And Of this total, 3 + 12 = 15 don't play a sport.
Then
Probability = 15/30
Probability = 0.5
Then
50% probability that a student chosen randomly from the class does not play a sport.
So, The 50% probability that a student chosen randomly from the class does not play a sport.
Learn more about probability here
https://brainly.com/question/25870256
#SPJ9
Motherdeposited $30 000.00 at a bank for 5 years at a rate of 5% per annum. How much interest will she collect at the end of the 5 years?
Answers
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$30000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (30000)(0.05)(5) \implies I = 7500[/tex]
Solve. Check for extraneous solutions. √x=√x-8+2
Answers
x = 9 is not an extraneous solution of the equation.
√x=√(x-8) + 2
Squaring both the sides of the equation, we get
(√x)² = (√(x-8)+2)²
x = (✓(x - 8))² + 2² + 2(✓(x - 8))(2)
x = x - 8 + 4 + 2(✓(x - 8))(2)
Subtracting x on both the sides of the equation, we get
- 4 + 2(✓(x - 8))(2) = 0
Adding 4 on both the sides of the equation, we get
4(✓(x - 8)) = 4
Dividing both sides of the equation by 4, we get
(✓(x - 8)) = 1
Squaring again on both the sides of the equation
x - 8 = 1
x = 9
Check for extraneous solution by putting the value of x = 9 in the original equation, we get
✓9 = ✓(9 - 8) + 2
✓9 = ✓1 + 2
3 = 1 + 2
3 = 3
⇒ LHS = RHS
∴ x = 9 is not an extraneous solution of the equation.
Know more about Roots of Equations: - https://brainly.com/question/20816910
#SPJ4
Convert 7,620 cm³ into m³
Answers
Answer:
0.00762
Step-by-step explanation:
The human heart beats an average of 70 times per minute. How many times will it beat per year?
Answers
Answer:
36792000
Step-by-step explanation:
you look up how many minutes in a year then multiply by 70
5(x – 10) = 30 – 15x
Answers
Answer:
x=4
Step-by-step explanation:
=5x-50=30-15x.
=20x=80.
x=4
two is subtracted from a number, and then the differnece is divided by 3. te result is 30 what is the number
Answers
(x + 1) ^4 (x + 3) − 2(x + 1)³(x + 3)²
Answers
Answer:EVALUATE
(x=3)(x=1) 4−2(x+3) 2(x+1) 3
Step-by-step explanation:
Select all that apply: 21 days is equal to... Question 6 options: 504 hours 30,240 minutes 1081404 seconds 3 weeks 1 month
Answers
by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.
We are given the total number of days as 21.
Now, we know that:
In 1 week, we have 7 days.
So, in 3 weeks = 7 × 3 = 21 days.
Also, 1 day has = 24 hours.
So, by using multiplication, we get that:
21 days = 24 × 21 hours
= 504 hours
Also,
1 hour = 60 minutes
504 hours will be calculated again by using multiplication.
504 hours = 504 × 60 = 30240 minutes
30240 hours = 1,814,400 seconds.
Therefore, by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.
Learn more about multiplication here:
https://brainly.com/question/10873737
#SPJ1
Your question was incomplete. Please refer the content below:
21 days is equal to:
a) 3 weeks
b) 504 hours
c) 30240 minutes
d) 1,814,400 seconds
e) 1081404 seconds
Select all the correct options that apply.
A six sided die has been tossed 4 times. how many sequences of these 4 outcomes contain at least one number greater than 4?
Answers
Answer: 1040 sequences
Step-by-step explanation:
a die has 6 faces, 6x6x6x6 = 1296 possible sequences in whole
you have to get rid of the sequences that don't work, 4x4x4x4 = 256 (these will fail because you need at least one number that is bigger than 4)
1296 (whole)-256 (failed) = 1040 sequences that could work
ced hanger diagram:
A circle has a mass of 6 grams and a square has a mass of 3 grams. Which is the mass
of a triangle?
Solve each equation. Show your work.
Answers
The mass of the triangle from the hanger diagram is found as 5 grams.
What is termed as the equilibrium of masses?When all of the forces acting on the object are balanced, the object is said to be in equilibrium. If the rightward forces are balanced by that of the leftward forces as well as the upward forces are balanced by that of the downward forces, the forces are said to be balanced. This does not necessarily imply that all of the forces seem to be equal to one another.For the given question;
Let the mass of each triangle be 'T'.
The mass of each circle be 'C'.
The mass of circle is 6 grams; C = 6 grams.
Let the mass of each square be 'S'.
The mass of each square is given as 3 grams; S = 3 grams.
As, the hanger is in equilibrium.
Mass of the left side = mass of the right side;
Put the values;
2T + 6S + 3C = 2C + 3S + 5T
Simplify the equation;
6S + 3C - 2C - 3S = 5T - 2T
3S + C = 3T
Or
3T = 3S + C
Put the values
3T = 3×3 + 6
3T = 15
T = 5
Thus, the mass of each triangle is 5 grams.
To know more about equilibrium, here
https://brainly.com/question/517289
#SPJ9
combine like terms to create an equivalent expression
[tex]-\frac{4}{7} +(-\frac{2}{7} p)+\frac{1}{7}[/tex]
-4/7p+(-2/7p)+1/7
Answers
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. (-6p+1)/7 is an equivalent fraction of -4/7p+(-2/7p)+1/7.
What is Expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
The given expression is
-4/7p+(-2/7p)+1/7
In the given expression there is a variable p and a constant.
We have to add the terms which having p.
(-4/7+(-2/7))p+1/7
=(-4/7-2/7)p+1/7
=-6/7p+1/7
=(-6p+1)/7
Therefore (-6p+1)/7 is an equivalent fraction of -4/7p+(-2/7p)+1/7.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ1
Write each expression in simplest form. (x¹/₃/y⁻³/₃)⁹
Answers
The simplest form of the expression [tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}[/tex] is yx³.
The simplest form of a fraction is one with a reasonably prime denominator and numerator. It indicates that, except for 1, there is no common factor between the fraction's numerator (upper portion or top) and denominator (lower part or bottom).
A fraction is a number that has been expressed as a quotient by dividing the numerator by the denominator. Both are integers in a simple fraction. In a complex fraction, a fraction can be found in either the numerator or the denominator.
An expression is made up of a number, a variable, or a combination of a number, a variable, and operation symbols. Two expressions joined by an equal sign form an equation.
Consider the expression,
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}[/tex]
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=\frac{x^{\frac{1}{3} }}{y^{-1}}[/tex]
We know, x⁻¹ = 1/x
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(yx^{\frac{1}{3} })^{9}[/tex]
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(y^{9})(x^{\frac{1}{3}\times 9})[/tex]
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(yx^{3})[/tex]
Learn more about expression here:
brainly.com/question/4344214
#SPJ9
what is 209.3 ÷ 80 i need the answer
Answers
Answer:
2.61625
Step-by-step explanation:
9. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is
most appropriate.
Temperatures of the ocean at various depths.
O Nominal
O Ratio
O Ordinal
O Interval
Answers
Answer: D (Interval)
2.)A cylinder which has a height of 90cm and diameter 14cm is closed at both ends find in its total surface area is the volume of the cylinder [take π = 22/7 ].
3.) A container is 24m long, 9m wide and 8m high - How many books can it hold if each bottle book is 20cm bong, 16cm wide and 6cm thick? Solution. d
Answers
Answer:
A =3960 as the surface area. B=309 books.
Step-by-step explanation:
SA=
[tex]2\pirh + \pir \times r[/tex]
so 2*22/7*7*90+22/7*7*7.
=
[tex]3960cm {}^{2} [/tex]
B.get the volume of the box - volume of the book
2 μm
2 nm
2 mm
Which is bigger ? And which is smaller?
Answers
The bigger measurement is 2 mm and the smaller measurement is
2 μm.
Given, the measurements are :
2 μm
we know that to convert from micro meter to meter, we use:
1 μm = 0.01 meter.
2 μm = 2 × 0.01 m
2 μm = 0.02 m
2 μm = 2/100
2 μm = 2 × 10⁻² m
for 2 nm
we know that to convert from nano meter to meter, we use:
1 nm = 10⁻⁹ meters.
2 nm = 2 × 10⁻⁹ meters.
for 2 mm
we know that to convert from milli meter to meter, we use:
1 mm = 0.001 meters.
2 mm = 2 × 0.001 m
2 mm = 0.002 m
2 mm = 2/1000 m
2 mm = 2 × 10⁻³ m
therefore , 2 × 10⁻² m > 2 × 10⁻³ m > 2 × 10⁻⁹ m
we can notice that millimeter is the greatest and nanometer is the smallest.
Hence we get the greater and smaller measurements.
Learn more about Measurements here:
brainly.com/question/777464
#SPJ9
A rectangle's length is 8cm more than three times its width. It the perimeter is 128 cm, find the length.
Answers
Answer:
50
Step-by-step explanation:
Answer
6 people found it helpful
author link
AriCakes1100
Ambitious
2 answers
12 people helped
The length is 50. You solve it by making an equation out of the information given. the rectangle's length(l) is 3 times its width(w) and its perimeter(p) is 128. So in order to solve this you need an equation to find the perimeter, isolating w to find l. It'll look something like this:
(3w+8)+(3w+8)+w+w=128
?You combine all like terms turning it into:
2(4w+8)=128
8w+16=128
8w=112
w=14
you use the value of w to solve for l as follows:
l=w*3+8
l=14*3+8
l=42+8
l=50
Keisha bought a skirt for $34.00 and a pair of shoes for $48.00. Sales tax was 7% on her purchases
What was the amount of sales tax on her total purchase What was the total cost of her purchase? $
Answers
Answer: $86.67
Step-by-step explanation:
34 x 7% OR 34 x .07 = 2.38
Skirt = $36.38
47 x 7% = 3.29 47+3.29 = 50.29
50.29+36.38=86.67
Evaluate the expression a²-4ab + c²
if a = -2, b = 5 and c = -3.
BiUF = = A
Answers
Answer: 53
Given, expression:
a²- 4ab + c²Given values: a = -2, b = 5, c = -3
Substitute them inside the expression:
(-2)²- 4(-2)(5) + (-3)²distribute
(-2)²+ 40 + (-3)²evaluate
4 + 40 + 9simplify
53Which ordered pair could you remove from the relation {(–1, 0), (1, 3), (2, 2), (2, 3), (3, 1)} so that it becomes a function?
(1, 3) or (2, 3)
(1, 3) or (3, 1)
(2, 2) or (2, 3)
(2, 3) or (3, 1)
Answers
Answer:
(2, 2) or (2, 3)
Step-by-step explanation:
two of the same number in x place means it is not a function. elimination on of these will make it a function.
Hannah painted a 50 square foot wall in her home. The graph shows the remaining Square feet to paint as a linear function of X, The number of minutes spent painting. what is the domain and range of the function?
Answers
Answer:
Domain: 0 ≤ x ≤ 25
Range: 0 ≤ y ≤ 50 where y = f(x)
Step-by-step explanation:
Domain is the set of all x values. Here x is the number of minutes spent painting and we can see its minimum value is y=0, maximum value is y=25 os domain of function is 0 ≤ x ≤ 25
Range of a function is the set of values of the function ie the outputs produced the function.
Let y = f(x) Then the y values range from minimum of y = 0 to maximum of y = 50. So range is 0 ≤ y ≤ 50 which is 0 ≤ y ≤ 50
What are the 3 letters?
Answers
Answer:
C. SNL
Step-by-step explanation:
S is a point in the plane, N is a line in the plane, and L is a point on another line in the plane.
Answer: D XLJ
Step-by-step explanation:
Hope that helps
Gracias
The question is in the picture attached below. Pls answer, will give 10 points. I know its less and its bcz I have only 13 points. When I get more, I will try to give it.
Answers
The missing terms in the given factorized expression are:
3x²y + 12xy² + 9xy = 3xy ( x + 4y + 3 )
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
We have,
_ x²y + _ y² + 9 _ = 3x _ ( _ + 4y + _ )
We need to fill the boxes and make sure that both sides are equal.
We will remove the bracket on the right side.
i.e 3x _ _ + 12xy_ + 3x_ _
Now,
_ x²y + _ y² + 9 _ = 3x _ _ + 12xy_ + 3x_ _
We will make,
_ x²y and 3x _ _ equal.
_ y² and 12xy_ equal.
9 _ and + 3x_ _ equal.
So,
(3)x²y = 3x (x)(y)
(12x)y² = 12xy(y)
9 (xy) = 3x(y)(3)
Thus the missing terms in the given factorized expression are:
3x²y + 12xy² + 9xy = 3xy ( x + 4y + 3 )
3x²y + 12xy² + 9xy = 3x²y + 12xy² + 9xy
Learn more about expression here:
https://brainly.com/question/28170201
#SPJ1
Janna walks 1/5 of a mile each day to her mailbox and back. How many miles will Janna walk in 7 days?
A 1 2/5 miles
B 2 miles
C 1 mile
D 2 2/5 miles
Answers
What is the total surface area of the square pyramid?
48 square meters
64 square meters
76 square meters
88 square meters
Answers
Greetings from Brasil...
Observing the attached figure we conclude that we have a square of side 4 and 4 triangles of base 4 and height 6. With this information we can conclude that:
Looking at the attached figure, we conclude that we have a square of side 4 and 4 triangles of base 4 and height 6. Let At be the area of the triangle and As be the area of the square. With this information we can conclude that:
Atotal = 4At + As
Atotal = 4(4.6/2) + 4²
Atotal = 64a.u.draw a ring around the number equivalent to five hundreths
500 5.00 0.50 0.05
Answers
Work Shown:
five hundredths = 5/100 = 0.05
5-(x-2)2 for x=-1
NEED HELP! What is the given value for this expression?
Answers
Answer:
3
Step-by-step explanation:
5-(x-2)2 for x= -1
it going to be
5-(-1-2)2
5- 1 x 2
5 - 2
=3
Answer:
- 4
Step-by-step explanation:
substitute x = - 1 into the expression
5 - (x - 2)²
= 5 - (- 1 - 2)²
= 5 - (- 3)²
= 5 - 9
= - 4
Help, pls this is urgent
9/3 - 1/6
Answers
[tex] \frac{9}{3} - \frac{1}{6} = \frac{9 \times 2}{3 \times 2} - \frac{1}{6} = \frac{18}{6} - \frac{1}{6} \\ \\ \frac{18 - 1}{6} = \frac{17}{6} = 2 \frac{5}{6} [/tex]
Answer: 2 5/6
Step-by-step explanation:
9/3-1/6 is 2 5/6 what you do is cross multiply 9/3 and 1/6 to get 18/6 and 1/6 then you subtract across