Answer:
f(x, y) = yx²/2 + 3x² + 4yx + 24x + K
Step-by-step explanation:
Given the expression dy/dx=xy+6x+4y+24
To find the solution, we are to make y the subject of the formula as shown
dy = (xy+6x+4y+24)dx
∫dy =∫(xy+6x+4y+24)dx
y = ∫(xy+6x+4y+24)dx
We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;
y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx
y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx
Integrate;
y = yx²/2 + 6x²/2 + 4yx + 24x + K
y = yx²/2 + 3x² + 4yx + 24x + K
Hence the solution to the differential expression is;
f(x, y) = yx²/2 + 3x² + 4yx + 24x + K
Where K is the constant of integration.
IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the proportion of the population for the following IQ score. For your answer, convert each proportion into a percentage whose value is computed to 2 decimal places. Sketch a distribution to help you visualize the problem. IQ score greater than 135
Answer:
0.01
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ,
where x is the raw score = 135
μ is the population mean = 100
σ is the population standard deviation = 15
z = 135 - 100/15
z = 2.33333
P-value from Z-Table:
P(x<135) = 0.99018
P(x>135) = 1 - P(x<135)
P(x > 135) = 1 - 0.99018
= 0.0098153
Approximately to 2 decimal places
= 0.01
Therefore, the proportion of the population for the following IQ score of 135 is 0.01
I feel it could be AAS since both angles could be alternate interior but it could also be SAS so could someone help please?
Answer: D) Side-Angle-Side (SAS)
Check out the diagram below. Note the color coding to see how the angles and sides correspond to the given information. We aren't given RT = RT, but we use the reflexive property in this case. The angles are between the sides so we use SAS.
We don't have enough information to determine anything about the other angles, so we cannot use AAS or ASA. Also, recall that SSA is not a valid congruence theorem. Luckily the angle is between the sides so we don't have to worry about SSA.
To find 7% of a total you can multiply the total by
(1) 7 (3)
(2) 0.7
(3) 7/10
(4) 0.07
Can some please help me with this one it would be much appreciated
πAnswer:
Therefore, the area of a sector of a circle would be 13.5π square units.
Step-by-step explanation:
Given
[tex]r=9[/tex] miФ = 60°The area of a sector of a circle is:
A = π r² Ф/360
A = π (9)² 60/360
A = π 81 * 1/6
A = 13.5π square units
Therefore, the area of a sector of a circle would be 13.5π square units.
Evaluate the given integral by making an appropriate change of variables. 3 x − 6y 8x − y dA, R where R is the parallelogram enclosed by the lines x − 6y
Answer:
Step-by-step explanation:
Hope this helps!
Please mark brainliest!
Oh if you need more information here is a more of an explanation
You get x and y in terms of u and v by setting u=x-2y and v=3x-y and then doing some systems of equations. You get the Jacobian by taking the partial derivatives of x and y with respect to u and v (using the equations x=(2v-u)/5 and y=(v-3u)/5) and then taking their determinate.
A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? *
Answer:
1647.20
Step-by-step explanation:
You do .58 times 28,400. Then you move the decimal place over 1 place to the left. Because it is already 5.8%
The square shown has sides of length 6z^7 decimeters. Find it’s area
Answer:
49z^10 dm^2
Step-by-step explanation:
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. How many students said they feel more focused after exercising? 380 570 760 930
Answer:
760
Step-by-step explanation:
Answer:
760
Step-by-step explanation:
Witch expression converts 100 inches per minute to feet per minute
Given g(x)=−x−4, find g(5)
Answer:
-9
Step-by-step explanation:
Plug it in
g(x)=-x-4
g(5) meaning that x=5
Thus,
-5-4=-9
Hope it find it helpful :)
Answer:
-1
Step-by-step explanation:
Given g(x) = -x + 4, find g(5)
g(x) = -x+4
g(5) = -(5) + 4 Plug input into x
-5 + 4 Negate
-1 Add
Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
Answer:
2x + 2y ≤ 20
x + 3y ≤ 2
Step-by-step explanation:
this is the correct answer i got on my assignment-------
The system of inequalities can model Gabrielle’s situation is x + 2y ≤ 20
and 3x + 2y ≤ 21.
What are inequalities?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows; batches of brownies = x and batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
x + 2y ≤ 20
Cookie:
Sugar = 3 cups
Eggs = 2
3x + 2y ≤ 21
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Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
The ratio of boys and girls in Mrs specks s class is 2 of 3 There is 18 girls what is the total number of students in Mrs.specks class HELP PLZ I WILL GIVE YOU THE BBRAINLYEST
Answer: 30 students in total
Step-by-step explanation: 2x+ 3x is 5x right. The 18 girls are the 3x. That means the 6 people is 1x. If there are 5 x people in total that means that there are 30 students
Given a cylinder with a volume of 502.4 in3and radius 4 in. Find the height of the cylinder.
Answer:
h = 9.99in
Step-by-step explanation:
...
What is the slops of the line passing through (-1, 2) and (-3, -2)? PPPPLLLZZZ HELP!!!!
A. 2
B. -1/2
C. 1/2
D. -2
Answer:
A. 2
Step-by-step explanation:
Count the steps to get to the both points.
From (-3, -2) to (-1, 2), it gets up by 4 and move to the right by 2.
Rise ÷ Run = 4 ÷ 2 = 2
Answer:
I think it's D
Step-by-step explanation:
because it's same to another one so D only
if there are 362 men and 73 women what percentage of women are there
Answer:
16.78%
Step-by-step explanation:
Total = men+women
= 362+73 = 435
Percentage: 73/435 × 100
= 16.78%
Answer:
20%
Step-by-step explanation:
Use 362 as 100% since it is the output value and use 73 as a x value then put them into the equation 100%/x% = 362/73 then flip the equation x%/100% = 73/362
f(1) = 6 f(n) = f(n – 1) – 5 for integer values of n > 1
please help will give brainlyest again
Answer:
8
_
12 I think
that's it it you can cross multiple it will be 7/10
I WILL GIVE BRAINLIEST! ALSO KEEP AWARE!
Answer:
Step-by-step explanation:
An equation y = kx represent a proportional relation and k = [tex]\frac{y}{x}[/tex]
⊕ Yes, the constant of proportionality is 3.5
Help me pleaseeeee:(((
Answer:
1.25
Step-by-step explanation:
if you paid 7.50 for 6 feet of rope we can figure out how much each foot of rope is by example 750 divided by 6 which equals 1.25 .
Answer:
$62.50
Step-by-step explanation:
Proportions:
$7.50 ⇔ 6ft
$R ⇔ 50ft
R = 7.5*50/6
R = $62.5
PLEASE HELP. use the information provided to write the equation of each circle . i will give brainliest!
Answer: 16. C 17. A 18. A
19 You got this! There is only one answer with the correct radius squared!
Step-by-step explanation:
For the coordinates of the center, flip the signs in the parentheses.
For the "=output": in the equation, square the given radius.
Center: (-14.4) the signs in (x + 14)²+(y - 4)² are the opposites.
Radius given: 2 Square it to get the =4
PLEASEEEEEEEEEEE HELP MEH WILL GIVE BRAINLIST PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HURRYYYYYYYYYY
Answer:
the awnser is b
.........
A food truck used 6 cartons of boxes for the dinners they sold yesterday. There are 24 boxes in a carton. Each dinner uses one box and costs $11. How many boxes did the food truck use yesterday? What was the total amount of money they made from selling dinners?
Answer:
$1584
Step-by-step explanation:
My first answer got deleted because it was incomplete or something.
Just multiply 6x24x11 and you'll get the answer.
what is principal in simple intrest
The area of the rectangle flower bed shown is
20.4 square meters. How many meters of edging are needed to go around the flower bed?
Answer:
I think 5.4
Step-by-step explanation:
Take it and divide by the number of sides
The Perimeter of rectangle is 27.4 m
What is Area of rectangle?The area of rectangle is product of its length to tis width.
So, Area of rectangle = length x width
Given:
Area of the flower bed = 20.4 square meters.
length = 12 m
As a rectangle, its area be
A = l x w
20.4 = 12 w
w= 20.4/ 12
w= 1.7
Now, Perimeter of rectangle
= 2( l + w)
= 2( 12+ 1.7)
= 27.4 m
Hence, the Perimeter of rectangle is 27.4 m
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Find the circumference of a circle whose
area is 49pi sq units.
Answer: C=2πr
r Radius
complete the sequence:1,1,2,3,5,_,_,_
Answer:
8,13,21
Step-by-step explanation:
Basically,add the previous number to next number
Answer:8,13,21
Step-by-step explanation:
use an identity to solve the equation on the interval [0,2pi) sin x cos x = -1/4 x=
Answer:
The solution of the given equation is x = 105 °∈ ( 0 , 2pi)Step-by-step explanation:
Step(i):-
Given equation is sin x cos x = -1/4
[tex]2(2sinxcosx) = -1[/tex]
we know that trigonometry formula
2 sin x cos x = sin 2x
2 ( sin 2 x) = -1
sin2x = -1/2
Step(ii):-
sin2x = [tex]\frac{-1}{2} = sin (\pi +\frac{\pi}{6}[/tex]
sin2x = sin 210 2x = 7π/6 2x = 210° x = 105 °The solution of the given equation is x = 105 °∈ ( 0 , 2pi)What is the answer for 2/5x5/8 ?
What is the value of the expression 3/19 7/2
Answer:
It is 2/15
Step-by-step explanation:
[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]
Dont know if this helps but here you go :)
Am I correct on this ?
The answer is -7!!!! can you help me too???? im stuck on one problum!!!
:D