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.
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
Answer:
I believe the answer is 50 ft
Step-by-step explanation:
You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute deviation of at most 4 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.
Answer:28 ≤ x ≤40
Step-by-step explanation:Arrange the data from the smallest to the largest
26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48
Identify the median value
26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48
Getting the median
(33+35)/2 = 68/2 = 34 minutes
You want your time to be last year's median time with an absolute deviation of at most 6 minutes
This mean ±6 minutes, hence this will be 34 ± 6
34+6=40 and 34-6=28
The inequality will be 28 ≤ x ≤40
helppppp please I will give brainliest
Answer:
y=3/4x
Step-by-step explanation:
For Carly's birthday celebration her family took her out to eat at her favorite restaurant. The total bill was $135.
Her dad wants to leave an 18% tip.
How much money is the tip?
$
Write each of the following numbers as a power with an exponent to the base 2:16
Given:
The number is 16.
To find:
The given number as a power with an exponent to the base 2.
Solution:
First write the given number as the product of the prime factors.
The factor form of 16 is
[tex]16=2\times 2\times 2\times 2[/tex]
[tex]16=2^4[/tex]
Therefore, the given number 16 as a power with an exponent to the base 2 is [tex]2^4[/tex].
Answer:
2^4
Step-by-step explanation:
Multiply and simplify the product. (3 – 5i)(–2 + 4i) Select the product.
Answer:
-20i^2 + 22i - 6
Step-by-step explanation:
(3 - 5i)(-2 + 4i) = -6 + 10i + 12i - 20i^2 = -20i^2 + 22i - 6
if you want to go further,
-20i^2 + 22i - 6 = -2(10i^2 - 11i + 3)
Answer:
14+22i
Step-by-step explanation:
Edge Verified
The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla.
About how many centimeters larger is it ? Round to the nearest hundretdth
Answer: what is there a picture of it?
Step-by-step explanation:
All of the following ordered pairs satisfy the function rule y = -2 x - 1 except _____.
(2, -5)
(-1, -3)
(-2, 3)
(0, -1)
Answer:
(-1, -3)
Step-by-step explanation:
I need some help please
my answer is the one below but I'm not sure pls give work
Linear, exponential or neither?
y= 3x² + 2x + 4
A linear
B exponential
C neither
Answer:
C
Step-by-step explanation:
neither.
linear equations have constant slope. They take on the form of something like y= mx + b
exponential equations have a variable in the exponent. An example of this y= 3^x.
This is a polynomial equation - specifically a quadratic.
Can y’all determine the measure of angle a
Answer:si
Step-by-step explanation:
The actual distance between two cities is 2250 miles. The distance between the two cities on a map is 15 inches. What is the scale of the map?
Answer: It should be 1 in. : 150 mi.
Answer:150
Step-by-step explanation:
a year later
Could anyone give a hand?
Answer: 73.5
first you work out the total area of this shape.
area: 105
this mean you can start working out the non-shaded area to do this you need to multiply 7cm with 6cm which is 42cm then you divide by 2 to get 21cm.
then to work ou the other non-shaded area in the left you multiply 3cm and 7cm together getting 21cm you then divide it and you get 10.5.
you then add 10.5cm and 21cm together to get 31.5cm, subtract that answer with the total area which gets the answer 73.5!
Unit 3 lesson 16 homework
Answer:
huh what is your question ????
The daily low temperatures from last week are shown below. (The measurement is fahrenheit)
-9, -8, -7, 8, 10, 12, 18
What is the mean low temperature of last week?
A.-2
B.6
C.8
D.10
Answer:
thx for the free points g
Answer this answer correctly and you'll get 100 points + brainiest:
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?
Part A: Which equation represents the situation?
A. 3m + 54 = 381, where m represents the amount originally in his account
B. 3(m + 54) = 381, where m represents the amount originally in his account
C. 3m − 54 = 381, where m represents the amount originally in his account
D.3(m − 54) = 381, where m represents the amount originally in his account
Part B: Complete the statement to represent the solution of the equation in context.
Marcellus originally had $___________ in his account.
Answer:
B
Step-by-step explanation:
Part A:
3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.
Part B:
3(m-54) = 381.
You would first divide both sides by 3.
m - 54 = 127
You would now add 54 to both sides.
You now know m = 181.
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer
In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 290? Leave answers in decimal form, not percentages. Round to the nearest Hundredth (two decimal places).
Answer:
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Step-by-step explanation:
Step(i):-
Mean of the Population (μ) = 281
Standard deviation of the Population = 34.4
Let 'X' be a random variable in Normal distribution
Given X = 290
[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]
Step(ii):-
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = P( Z > 2.027)
= 0.5 - A ( 2.027)
= 0.5 - 0.4783
= 0.0217
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
A table is made using the following two patterns.
Pattern x: Starting number: 1, Rule: add 1
Pattern y: Starting number: 5, Rule: add 5
Complete the table for the given patterns.
x y
1 5
Answer:
The required table will be
x y
1 5
2 10
3 15
4 20
5 25
Step-by-step explanation:
We are given 2 patterns
Pattern x: Starting number: 1, Rule: add 1
Pattern y: Starting number: 5, Rule: add 5
We need to complete the table for given patterns
x y
1 5
The second number for x according to pattern will be: we will add 1 to the previous number i.e 1+1 =2
The third number for x according to pattern will be: we will add 1 to the previous number i.e 2+1 =3
The second number for y according to pattern will be: we will add 5 to the previous number i.e 5+5 =10
The third number for y according to pattern will be: we will add 5 to the previous number i.e 10+5 =15
So, the required table will be
x y
1 5
2 10
3 15
4 20
5 25
As we are not given how much we need to fill table. I am adding 4 values for x and y.
What is the answer for 2/5x5/8 ?
the ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]
What is the slope of the line that passes through the points (-8, 6) and (-5, -3)
Answer: slope is -3
Step-by-step explanation:
Simple, plain, easy
if a pineapple costs $p and a mango costs $q, write an algebraic expression, in dollars, in terms of p and q for the total cost of 5 pineapples and 3 mangoes
Answer: 5p + 3q
Explantation: 5 pineapples is going to be multiplied by p, the cost of 1. And 3 mangoes are going to be multiplied by q, the cost of 1. And adding the two totals together gives you the total cost.
Write the expression in simplest form.
(-11/2 x + 3) -2(-11/4x-5/2)
Answer:
8
Step-by-step explanation:
(-11/2x +3) -2(-11/4x -5/2)
(-11/2x +3) +22/4x +10/2
-11/2x +3 +11/2x +5
8
Y-p=m(x-8) solve for x
Answer:
x = Y /m − p /m +8
Step-by-step explanation:
Identify the equation in slope-intercept form for the line with the given slope that contains the given point.
Slope =3/4; (2,2)
In triangle PQR m angle P=60°, and m angle Q=30°, and m angle R=90°. Which of the following statements about triangle PQR are true? Check all that apply.
Answer: A, C, and F
Step-by-step explanation:
The correct statements about triangle PQR.are given by options A), B), and F) and this can be determined by using the trigonometric functions.
Given :
In triangle PQR, angle P is 60°, angle Q is 30° and angle R is 90°.
The trigonometric functions can be used in order to determine the correct statements about triangle PQR.
[tex]\rm sin30 = \dfrac{PR}{QP}[/tex]
[tex]\rm PQ = 2\;PR[/tex]
[tex]\rm cos30 = \dfrac{QR}{QP}[/tex]
[tex]\rm PR=\dfrac{\sqrt{3} }{2}\;PQ[/tex]
[tex]\rm tan30 = \dfrac{PR}{QR}[/tex]
[tex]\rm \sqrt{3}\; PR= QR[/tex]
[tex]\rm sin60 = \dfrac{QR}{PR}[/tex]
[tex]\rm QR=\dfrac{\sqrt{3} }{2} \;PR[/tex]
[tex]\rm cos60 = \dfrac{PR}{QP}[/tex]
[tex]\rm PR=2\;PQ[/tex]
[tex]\rm tan60 = \dfrac{QR}{PR}[/tex]
[tex]\rm PR=\sqrt{3} \; QR[/tex]
Therefore, the correct option A), B), and F).
For more information, refer to the link given below:
https://brainly.com/question/13710437
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
X=4 6 x 4=24. so when y turns 16, what time four gets 16? 4x4=16
Step-by-step explanation:
hope this helps
solve with steps please?
Answer:
Step-by-step explanation:
m∠1 = x
m∠2 = 3x
m∠3 = ( [tex]\frac{1}{3}[/tex] )(3x) = x
x + 3x +x = 180°
x = 36°
m∠1 = 36°
m∠2 = 108°
m∠3 = 36°