21, 600 = 12 /100 x X.
21,600 x 100/12 = X
180,000 = X
The big Xs are X, and the small xs are times.
Hope this helps.
If z = x² + y² , prove that:
[tex]{ \large{ \rm{ {x}^{2} \: {\frac{ {∂}^{2}z }{∂ {x}^{2} } + 2xy \frac{ {∂}^{2}z }{∂x∂y} } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2z}}}[/tex]
_____________
Don't Spam
Well explained answers needed
Answer:
Given That:
[tex]{ \large\longrightarrow { \rm{z = {x}^{2} + {y}^{2} }}}[/tex]
Partial differentiating both sides with respect to x, we get:
[tex]{ \large\longrightarrow { \rm{ \frac{∂z}{∂x} = 2x}}}[/tex]
Partial differentiating again with respect to x, we get:
[tex]{ \large\longrightarrow {{ \rm{ \frac{ {∂}^{2}z }{∂ {x}^{2} } \: = 2 \: \: \: \: \quad -(i) }}}}[/tex]
Consider again:
[tex]{ \large\longrightarrow {{ \rm{ z = {x}^{2} + {y}^{2} }}}}[/tex]
Partial differentiating both sides with respect to y, we get:
[tex]{ \large\longrightarrow { { \rm{ \frac{∂z}{∂y} = 2y}}}}[/tex]
Now, partial differentiating both sides with respect to x, we get:
[tex]{ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂x \:∂y } = 0 \: \: \: \quad - (ii) }}}[/tex]
Consider again:
[tex]{ \large\longrightarrow { \rm{ \frac{∂z}{∂y} = 2y}}}[/tex]
Partial differentiating both sides with respect to y, we get:
[tex]{ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2 \: \: \: \: \: \quad - (iii) }}}[/tex]
Now, consider Left Hand Side, we get:
[tex]{ \large{ \rm{ \longrightarrow {x}^{2} \frac{ {∂}^{2}z }{∂ {x}^{2} } + 2xy \frac{ {∂}^{2} x}{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } }}}[/tex]
From Equation (i),(ii) and (iii), we can write:
[tex]\longrightarrow{ \large{ \rm{ {2x}^{2} + 0 + {2y}^{2} }}}[/tex]
[tex]\longrightarrow \: { \large{ \rm{2( {x}^{2} + {y}^{2} ) }}}[/tex]
[tex]\longrightarrow{ \large{ \rm{2z}}}[/tex]
Therefore,
[tex]{ \large{\longrightarrow \: { \rm{{x}^{2} \frac{ {∂}^{2} z}{∂ {x}^{2} } + 2xy \frac{ {∂}^{2}x }{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2z }}}}[/tex]
Hence Proved!!
[tex] \: [/tex]
Learn More:-[tex]\boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}[/tex]
Refer to the attachments for answer
Used Concept :- [tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex]Sierra Ridge Middle School is getting a new lunchroom. Robert is surveying a random
selection of students to find out what new features they'd like to add. The table below shows
how many students surveyed have ranked each feature as their first choice. Robert wants to
survey at least 50 more students.
Lunchroom feature Number of students
sound system
10
water cooler
7
painted mural
4
bulletin boards
5
Based on the data, estimate how many of the next 50 students surveyed will rank a water
cooler as their first choice of additions to the lunchroom.
If necessary, round your answer to the nearest whole number.
students
Answer: 13
Step-by-step explanation:First, based on the data, find the probability of a water cooler being a student's first choice of additions to the lunchroom.
Robert has surveyed 10+7+4+5=26students.
7 of these students ranked a water cooler as their first choice.
So, the probability of a water cooler being a student's first choice of additions to the lunchroom is
7
26
.
You can estimate how many of the next 50 students surveyed will rank a water cooler as their first choice by assuming that
7
26
of the 50 students will do so. Find
7
26
of 50.
7
26
50=13.461…
Based on the data, about 13 students out of the next 50 surveyed will rank a water cooler as their first choice of additions to the lunchroom.
Evaluate.
x² + 2
for x = 5.1
Answer:
28.01
Step-by-step explanation:
Since x = 5.1
Substitute
5.1² + 2
=26.01+2
Add the numbers
=28.01
Hence, Answer = 28.01
~Learn with Lenvy~
30. Felipe va a hacer un banderín para su equipo de fútbol, con las medidas que se indican en la figura. ¿Cuánta tela ocupará para elaborar el banderín?
A) 930 cm2
B) 961 cm2
C) 1 860 cm2
D) 1 922 cm2
Veremos que el area del banderín es 930cm^2, entonces la opción correcta es A.
¿Que area tiene el banderin?Luego de una pequeña busqueda online, pude ver que el banderin es un triangulo isósceles con base de 31cm y altura de 60 cm.
Recordar que para un triangulo de base b y altura h, el area es:
A = b*h/2
Entonces el area del banderín va a ser:
A = (31cm)*(60cm)/2 = 930cm^2
Entonces la opción correcta es A.
Sí quieres aprender más sobre triangulos, puedes leer:
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What is the unit rate for mason's run?
Answer:
Picture or graph? I need a graph to answer.
Please I need some steps!
Answer:
98.875
Step-by-step explanation:
Just add all the hours worked.
Hope this helps! :)
What is the total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months? a. $25. 47 b. $202. 55 c. $611. 20 d. $4,861. 20 Please select the best answer from the choices provided A B C D.
The total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months is $670.54.
What is Compound Interest?
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A is the final amount, P is the Initial principal balance, r is the interest rate, n is the number of times interest is applied per time period, t is the number of time periods elapsed.
As it is given that the principal amount is $4,250 while the interest rate is 13.25% compounded monthly and the principal amount is taken for 24 months, therefore,
[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = 4,250(1 + \frac{0.1325}{12})^{24 \times 2}\\\\A = 5,531.54[/tex]
Now, the total amount that is needed to be paid is $5,531.54, while $4,250 was the principal amount therefore, the finance charge or the interest is,
Financial Charge = Final amount - Principal amount
Financial Charge = $5531.54 - $4861 = $670.54
Hence, the total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months is $670.54.
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If f(1) = 0, what are all the roots of the function f (x) = x cubed + 3 x squared minus x minus 3? Use the Remainder Theorem.
x = –1, x = 1, or x = 3
x = –3, x = –1, or x = 1
x = –3 or x = 1
x = –1 or x = 3
Answer:
x = –3, x = –1, or x = 1
Step-by-step explanation:
when I put -3.-1,or 1 as x I get 0
Remainder Theorem Way :
x^3-3x^2-x-3
x^2 (x+3) -1(x+3) = 0
(x^2 -1) (x+3) = 0
(x+1) (x-1) (x+3) = 0
x= 1 x= -1 x= -3
https://brainly.com/question/3470351
Answer:
its b
Step-by-step explanation:
cause I took test
A small regional carrier accepted 22 reservations for a particular flight with 20 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 42% chance, independently of each other.
a. Find the probability that overbooking occurs.
b. Find the probability that the flight has empty seats.
The probabilities for each case are:
a) P = 0.012b) P = 0.937How to get the probability?
There are 8 reservations for passengers that may go or not, such that the probability of arriving to the flight is P = 0.42, and the probability of not arriving is Q = 0.58
a) There will be overbooking if 7 or more passengers go to the flight, the probability that the 8 attend is:
P(8) = (0.42)^8
The probability that 7 attend is:
P(7) = 8*(0.42)^7*(0.58)
(where the factor 8 is because there are 8 permutations)
The total probability is:
P = P(8) + P(7) = 0.012
b) Will be empty seats if less than 6 people go.
The probability that exactly 6 of these people go to the flight is:
P(6) = (28)*(0.42)^6*(0.58)^2
Where there are 28 permutations, that is why we used that factor.
Then, the probability of having empty seats is:
P = 1 - P(6) - P(7) - P(8) = 0.937
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Help me with this problem please.
Answer:
1.23, -4.8
Step-by-step explanation:
-3.57 - 1.23 = -4.8
Hope this helps :)
whats the equation 2+2 yo
Answer: is 4 you dontiy noweok
Step-by-step explanation: beacouse 2 + 2 is for silli sdlkfjasñldkas
sadfjlñsakdfjñsldfk
sdfsdlfksjañdlkfj234
23
42
34
23
4234
4
56
6
345
.
What are the complete factors of the polynomial 7x - 7?
Answer:
7(x-1)
Step-by-step explanation:
If you factor out 7 from each term,
you end up with 7([tex]\frac{7x}{7} -\frac{7}{7}[/tex])
or 7(x-1)
Given: m | n
m
46°
6x-2
n
What is the value of 2?
Answer:
7
Step-by-step explanation:
Because the lines are parrell and there is and a line intersecting both, you can say that the angles are interior corresponding angles. Thus you can have an equation 46=6x-2 then 48=6x divide x=7
What is 7/10 + 3/5 answer
Answer:
■○■•♤•♤♤•》•♤~♤~♤~♤~♤♤~♤•♤○♤~
hey so can u help me with this question?
Answer:
E. 0.75%
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
Multiplying Polynomials.
Simplify each difference.
What is the 7th term in the geometric sequence described by this explicit
formula?
an = 800 - (0.5)(n-1)
Answer:
a₇ = 797
Step-by-step explanation:
substitute n = 7 into the explicit formula
a₇ = 800 - 0.5(7 - 1) = 800 - 0.5(6) = 800 - 3 = 797
7505 ÷ 25
please send a photo
Answer:
300.2
7505/25=300.2 or300
Need these also any help
==============================
Explanation:
For problem 1, we will plot a closed circle at x = -2 to include this value in the shaded solution set. We include it because of the "or equal to". The shading is to the right because of the "greater than". So we're describing all x values that are either equal to -2 or larger than -2. You could say "x is -2 or larger".
---------------------
In problem 2, we'll exclude the endpoint since we don't have "or equal to". We shade to the left to visually show all values smaller than 3.
---------------------
In problem 3, we follow the same idea as the last problem. We have an open hole to exclude the endpoint and shade to the right of 12 to describe all values larger than 12.
---------------------
With problem 4, we now include the endpoint again. This is similar to problem 1. We shade to the left to describe x values that are either -15 or smaller.
Harvey conducted a probability experiment using a cube numbered 1-6 and a spinner with three equal spaces, as shown.
А
B
On each trial of the experiment, the number cube is tossed once and the arrow is spun once.
What is the sample space for the experiment?
Answer:
We have two independent events.
A number cube, with 6 possible outcomes.
A spinner, with 3 possible outcomes.
Each element in the combined sample space will be something like:
(outcome of the number cube, outcome of the spinner).
Then the number of possible outcomes in the sample size is equal to the product between the number of outcomes in each event.
Sample space size = 6*3 = 18.
Answer:
The answer is D. With all the 18 options.
Step-by-step explanation:
What is the area of a sector with a central angle of 5π7 radians and a diameter of 5. 6 in. ? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. In².
The area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².
What is the area of a circular sector?The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated as,
[tex]A_{sector}=\dfrac{d^2\theta}{8}[/tex]
Here, (d) is the diameter of the circle and (θ) is the central angle.
The central angle of the sector is 5π/7 radians and the diameter of the sector is 5.6 in.
Put the values in the above formula as,
[tex]A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=8.79 \rm \; in^2[/tex]
Hence, the area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².
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HELP ME OUT PLEASE!! UR THE BEST AND PLS DONT ADD IRRELEVANT ANSWERS
Mark the Following statement as True or False and provide an explanation for your
choice:
"If the price of Hula Hoops is set below its market equilibrium price there will be a
surplus of Hula Hoops in the market."
Hula Hoop Market
How much do you earn per week if your annual salary is $40,716?
Answer:
783
Step-by-step explanation:
There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.
Jenny wishes to advertise her business, so she gives packs of 8 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Jenny realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?
Answer:
8 red flyers and 8 blue flyers
Step-by-step explanation:
Packs of red flyers = 8
Blue flyers = 4
Jenny realizes that she gave out the same number of red and blue flyers
Find the lowest multiples of 8 and 4
8 = 8, 16, 24, 32
4 = 4, 8, 12, 16
The lowest common multiples of 8 and 4 is 8
Therefore,
The minimum number of flyers of each color is
8 red flyers and 8 blue flyers
You need a new computer for college that costs $1200. You
have worked all summer and earned $960. You will have to ask
your aunt if you can borrow the rest. What percent of the
computer's cost do you ask your aunt to pay?
Answer: 20%
Step-by-step explanation: $1200 - $960 = $240
20% of 1200 is 240.
Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus, 6, right parenthesis.
Answer:
74
10x7=70
10-6=4
70+4=74
The result of the given mathematical expression is 74.
What is a mathematical expression?A mathematical expression consists of numbers, variables, and common mathematical operations such as addition, subtraction, multiplication, division, and more.
The given expression is:
{10 x 7} + (10 - 6)
= 70 + 4
= 74
Learn more about a mathematical expression here: https://brainly.com/question/23749699
#SPJ3
the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)
Answer:
Option (C)
Step-by-step explanation:
Quadratic parent function has been given as,
f(x) = x²
If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',
g(x) = -kx²
This quadratic function passes through a point (1, -4),
g(1) = -k(1)²
-4 = -k
k = 4
Therefore, the new function after transformation will be,
g(x) = -4x²
Option (C) will be the correct option.
The function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
Given that,
The function g(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
We have to determine,
What function is g(x)?
According to the question,
The function f(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',
Then, The function g(x) is,
[tex]\rm g(x) = -kx^2[/tex]
Therefore,
The quadratic equation passes through the point (1,4),
[tex]\rm g(x) = -kx^2\\\\g(1) = -k(1)^2\\\\-4 = -k\\\\k= 4[/tex]
Therefore,
The function g(x) is,
[tex]\rm g(x) = -kx^2\\\\g(x) = -4x^2[/tex]
Hence, The required function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/411998
Please help. Thanks.
Use the Distributive Property to solve the equation. 3/5(a + 5. 25) = 7. 35a =
What are some strategies you can use to compare rational expressions?