Answer:
kjj ,mStep-by-step explanation:
Find a solution to dydx=xy+6x+4y+24dydx=xy+6x+4y+24. If necessary, use kk to denote an arbitrary constant
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.
Find the area of the irregular figure.
6 in
7 in.
A = [? ]in.2
5 in.
12 in.
13 in
4 in
Answer:
155 in
Step-by-step explanation:
Theres honestly no easy way to solve this except using a pencil and a notebook.
Anyways, heres how I did it:
6 times 7=42
17 times 5=85
7 times 4=28
42+85+28=155
Also the explanation:)
Answer:
276 guests were at the wedding.
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]
1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.
Solve the inequality for u.
4.
u>6
9
Simplify your answer as much as possible.
Answer:
u ≤ -27/2
Step-by-step explanation:
hope this helps
true or false , the best way to represent all the solutions to a linear inequality is to graph a single line through the x intercept and y intercept where neither side of the line is shaded
HELP
Describe any similarities or differences in the following equations: y = 4x and y = -4x -3
Answer:
Step-by-step explanation:
y = 4x is proportional and linear ( y = coffienient(x) )
y = -4x - 3 is not proportional because it has a costant ( -3 )
They are both an equation, they have a coffienient, and a value like (x)
9514 1404 393
Answer:
the lines have opposite slopeseach is a mirror of the other in the line y = -1.5the point (-3/8, -3/2) is common to both linesStep-by-step explanation:
The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)
The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.
Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...
4x = -4x -3
8x = -3
x = -3/8
y = 4x = -3/2
The point of intersection (common to both lines) is (-3/8, -3/2).
Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.
58 students on a bus how many students were fit on a six buses
Answer:
348
Step-by-step explanation:
helppppp please I will give brainliest
Answer:
y=1/3x-2
Step-by-step explanation:
Ruth got to the library at 1030 am.
She stayed at the library for 50 minutes.
Then she walked home.
Ruth took 1 1/4 hours to walk home.
(b) At what time did Ruth get home?
Answer:
She got home at 12:35 P.M.
Step-by-step explanation:
She got to the library at 10:30 am.
She spent 50 minutes there
10:30 + 50 mins can be seperated to 30 mins and 20 mins
So, 30 mins goes to 11 and 20 mins more equals 11:20.
She took 1 1/4 hours to get home
1 hour more means 12:20, and since 1/4 of an hour is 15 mins,
12:20 + 15 = 12:35 P.M
hope this helped!
HELP ME NOW PLEASE! WILL GIVE BRAINLY!!!!!!!!!!!!!!!! PLUS 30 POINTS
Faith is driving to a concert and needs to pay for parking. There is an automatic fee of $7 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Faith have to pay for parking if she left her car in the lot for 3 hours? How much would Faith have to pay if she left her car in the lot for tt hours?
Cost for 3 hours:
Cost for tt hours:
Answer: 13
Step-by-step explanation:
cost for 3 hours: 7+2(3)=13
cost for t hours: 7+2t
Answer:
13
Step-by-step explanation:
The polynomial p is a function of x. The graph of p has four zeros at -4, -2/3, 0, and 9
Select all the expression that could represent p.
A
-3x(x + 4)(3x + 2)(x - 9)
B
3x(x – 4) (x + 3)(x +9)
с
3x(x + 4)(2x - 3)(x -9)
D
- x(x + 4) (x + })(x – 9)
E
-3x(x + 4)(3x + 2)(x - 9)2
The only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]
Given the four zeros of the graph of p are at:
-4, -2/3, 0, and 9From the options given, the expression in option A will represent a function of a polynomial p with zeros at -4, -2/3, 0, and 9.
Here's why:
[tex]-3x(x + 4)(3x + 2)(x - 9)[/tex] (option A)
Therefore are four factors in the polynomial above which are:
[tex]3x\\\\(x + 4)\\\\(2x - 3), $ and\\\\(x -9)[/tex]
The zeros of polynomial p will be the following:
[tex]3x = 0\\\\x = \frac{0}{3} \\\\\mathbf{x = 0}[/tex]
[tex](x + 4) = 0\\\\\mathbf{x = -4}[/tex]
[tex](3x + 2) = 0\\\\3x = -2\\\\\mathbf{x =-\frac{2}{3}}[/tex]
[tex](x -9) = 0\\\\\mathbf{x = 9}[/tex]
Therefore, the only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]
Learn more here:
https://brainly.com/question/3166764
simplify 32 L : 56L with whole numerator and denominator
Answer:
4L/7L
Step-by-step explanation:
32:56 is the same as 32/56
They can be divided by a maximum of 8
32/8=4
56/4=7
4/7
Ms. Chibbaro packs 6 almonds for every 3 craisins (cranberry raisins) in her snack pack. She has 12 more almonds than craisins.
Which statement describes the effect on the parabola f(x)=2x•x-5x+3 when changed to f (x)= 2x•2-5x+1
Answer:
The parabola is translated down 2 units.
Step-by-step explanation:
You have the parabola f(x) = 2x² – 5x + 3
To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:
f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1 Expresion A
The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.
If p> 0 and q> 0, the parabola shifts p units to the right and q units up. If p> 0 and q <0, the parabola shifts p units to the right and q units down. If p <0 and q> 0, the parabola shifts p units to the left and q units up. If p <0 and q <0, the parabola shifts p units to the left and q units down.In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.
This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.
In conclusion, the parabola is translated down 2 units.
Plz Help. Euler Equations are hard!
Find the general solution to the following differential equation.
An
2 pie/3
Step-by-step explanation:
g The average work week in Los Angeles was 40.1 hours in the first quarter of 2019. It is believed that the pandemic has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are
Answer:
b. Hо : μ ≥ 40.1; Ha : μ > 40.1
Step-by-step explanation:
Note: The complete options to the question is attached as picture below
The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".
So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.
The hypotheses are as below:
Hо : μ ≥ 40.1 (Null hypothesis)
Ha : μ > 40.1 (Alternative hypothesis)
Of the 30 girls who tried out for the lacrosse team at Euclid middle school 12 were selected . Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls?how do you know?
Answer:
Yes they are the same i know this because for every 10 girls or boys there are 4 who try out for the team. so for every 10 Boys or Girls there are 4 that will try out for the team. For those wondering the ratio is 4:10
Step-by-step explanation:
Answer:
Yes, when simpilfied or written as a fraction they are equal
Step-by-step explanation:
12:30 = [tex]\frac{12}{30\\ \left \\\}[/tex] = [tex]\frac{4}{10\\}[/tex]
16:40 = [tex]\frac{16}{40}[/tex] = [tex]\frac{4}{10}[/tex]
Find the unit rate from the graph :
Answer:
1 gift per person
Step-by-step explanation:
The graph here is linear, and it crosses right through values such as (1,1) (2,2) etc. That shows that per person, each one will get 1 gift.
Find the percent the first number is of the second 7 ft, 7 yd
Answer:
33 1/3
Step-by-step explanation:
7/21=1/3
1/3*100=100/3
100/3=33 1/3
At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E
Answer: C ( square root of 1.5 x 3.6)
Step-by-step explanation:
The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.
The standard deviation expression of the distribution P is √(1.50 × 3.6)
Given the Parameters :
Expected value = 2.6Variance = 3.6 Price per doughnut = $1.50The price for the variance of the distribution can be written as :
Price per doughnut × Variance Variance = $1.50 × 3.6The standard deviation of the distribution D is related to the variance by the formular :
Standard deviation = √variance Standard deviation = √(1.50 × 3.6)Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)
Learn more :https://brainly.com/question/18153040
Les had $32.00 when he went to the city Market to buy some fresh fruits and vegetables. When he left, he had $23.05. How much money did he spend on food?
Answer:
$8.95
Step-by-step explanation:
Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6.
PLS PLS HELP ME
In the past year, Michael watched 14 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he think were very good?
Answer:
35%
Step-by-step explanation:
14÷40= 0.35 (35%)
0.35 × 40= 14
What is the inequality of y-2x<=-3
Which shows two expressions that are equivalent to (-8)(-12)(2)?
The solution is option C.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
(-8)(-12)(2)
=96*2
=192
so. we get,
It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 .
so, therefore your answer is c.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the coffee, she had $38.80 left on her card. How many pounds of coffee did she buy?
Answer:
5 pounds
Step-by-step explanation:
Given that:
Amount of gift card = $80
Cost of coffee per pound = $8.24
Amount left in the card = $38.80
To find:
Number of pounds of coffee bought = ?
Solution:
Let the number of pounds of the coffee bought = [tex]x[/tex] pounds
Cost of 1 pound = $8.24
Cost of [tex]x[/tex] pounds = $8.24 [tex]\times x[/tex]
Writing the equation as per question statement:
[tex]80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}[/tex]
Therefore, 5 pounds of coffee was bought.
Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?
Answer:
[tex]P(F/E) = 0.6[/tex]
Step-by-step explanation:
If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].
Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]
Here the two events given are [tex]E[/tex] and [tex]F[/tex].
[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]
and [tex]P(E) = 0.5[/tex]
As per the above formula that we have already discussed, the formula can be written as:
[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]
what’s the value of x?
Answer:
x = -11
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+50 + 72+ x+80 = 180
Combine like terms
2x + 202 = 180
Subtract 202 from each side
2x+202-202 = 180-202
2x =-22
Divide each side by 2
2x/2 = -22/2
x = -11
helppppp pleaseee!!
Evaluate the function
Answer:
10
Step-by-step explanation:
go to mathaway.com and type in the equation and when x=-6. Press show graph and it says 10. The graph is my proof.