Answer:
We want to find:
[tex]y'*dx = dy[/tex]
Where:
[tex]y = x^4*sin(9x)[/tex]
Remember that when we have a function like:
f(x) = g(x)*h(x)
The derivation gives:
f'(x) = g'(x)*h(x) + g(x)*h'(x)
In this case we can define:
f(x) = y
g(x) = x^4
h(x) = sin(9x)
These functions are easy to differentiate:
g'(x) = 4*x^3
h'(x) = 9*cos(9*x)
Then we have:
[tex]y' = \frac{dy}{dx} = 4x^3*sin(9x) + x^4*9cos(9x)[/tex]
Then we can write:
[tex]dy = (4x^3*sin(9x) + 9x^4*cos(9x))dx[/tex]
(2 + y) +z = (y + 2) + z
Answer:
It’s probably infinitely many solutions
Step-by-step explanation:
See attached picture
*sorry if that doesn’t help
Each package of hot dogs has 10 hot dogs and each package of hot dog buns has 8 Danny experts to need 72 hot dogs for a class picnic how many packages of hot dogs buns should Danny get?
Answer:
9
Step-by-step explanation:
PRECALCULUS HELP IM BEGGING YOU
Dean has built a ferris wheel in his backyard. It has a diameter of 10 feet and completes 30 revolutions per minute. Sketch a quick graph and find the period of the function that describes the height above the ground of a seat on the outside edge of this ferris wheel.
Answer: Period = 2 seconds
Graph is shown below
========================================================
Explanation:
1 minute = 60 seconds
We have 30 revolutions every 60 seconds, so we can write the ratio
30 rev: 60 sec
Divide both parts by 30 to turn that "30 rev" into "1 rev"
30 rev: 60 sec
30/30 rev: 60/30 sec
1 rev : 2 sec
This tells us that each full revolution takes 2 seconds. This is the period of the ferris wheel. The period is the length of each cycle.
The cyclic or periodic nature of this motion heavily implies we'll be dealing with a sine or cosine function of some kind. Let's go with sine.
Side note: cosine is really a sine function in disguise (it's just a phase shifted version of it).
---------------------
The general sine curve equation is
y = A*sin(B(x-C)) + D
where
|A| = amplitudeB = 2pi/T with T being the periodC handles phase shifts (left and right shifting)D handles vertical shifting, and y = D is the equation of the midline---------------------
The wheel is 10 feet in diameter, so 10/2 = 5 is the radius. This is also the amplitude because it is the distance from the midline to either the highest point (10 ft) or lowest point (0 ft). So A = 5.
Since T = 2 is the period, this means,
B = 2pi/T
B = 2pi/2
B = pi
We don't have any phase shifts to worry about so C = 0.
The midline is D = 5 since this is halfway up
----------------------
Putting all the pieces together, we get this sine equation
y = A*sin(B(x-C)) + D
y = 5*sin(pi*(x-0)) + 5
y = 5*sin(pi*x) + 5
The graph is shown below.
x = time in seconds, y = height of the seat
The tallest basketball player in the school's basketball team is 6 feet tall . Jacobs height is 11/12 of the height of the tallest basket ball player. What is jacobs height.
Answer:
Jacob is 5 1/2 ft
(>'-'<)
show how you would use partial products to solve 3x12
Answer:
(10x3) + (2x3)
Step-by-step explanation:
break down the number with two place values (just for this case) and those numbers would be 10+2 so then you multiply each number by 3
:) hope this helps doll!
The required product of 3 × 12 by the partial product method is 36.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The partial product of 3 × 12 is given as
= 3 × (10 + 2)
= 3 × 10 + 3 × 2
= 30 + 6
= 36
Thus, the required product of 3 × 12 by the partial product method is 36.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ1
Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
–15+ (-25) + 43
1/7+(-1)+2/7
120+80+(-65)
40+10+(-12)
Answer:
i believe it is the 2rd one if I am roung I am very sorry
Answer:
B 1/7+(-1)+2/7 hope that helps
Step-by-step explanation:
Billy Idell is trying to determine how many units of two types of lawn mowers to produce each day. One of these is the Standard model, while the other is the Deluxe model. The profit per unit on the Standard model is $60, while the profit per unit on the Deluxe model is $40. The Standard model requires 20 minutes of assembly time, while the Deluxe model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Deluxe model requires 15 minutes of inspection time. The company must fill an order for 6 Deluxe models. There are 450 minutes of assembly time and 180 minutes of inspection time available each day. How many units of each product should be manufactured to maximize profits?
Answer:
34
Step-by-step explanation:
✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
Two numbers are given 64 and 100 what is the greatest common factor of these two numbers
Answer:
The common factors of 64 and 100 are 4, 2, 1, intersecting the two sets above. In the intersection factors of 64 ∩ factors of 100 the greatest element is 4. Therefore, the greatest common factor of 64 and 100 is 4.
Step-by-step explanation:
Can someone help and tell me how you got the answer
Answer:
x = 15
Step-by-step explanation:
x/3 + 10 =15
Subtract 10 from each side
x/3+10-10 =15-10
x/3 = 5
Multiply each side by 3
x/3*3 = 5*3
x=15
Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What was Lenny’s total gross income for the year?
a.
$58,475
b.
$59,730
c.
$60,985
d.
$62,080
Answer:
d. $62,080
Step-by-step explanation:
Annual earned income = $58,475
Passive income = $1255
Capital gains = $2350
Unknown:
Total gross income for the year = ?
Solution:
Gross income is the some of all the income within a given period time.
Gross income = Annual income earned + Passive income + Capital gains
= $58,475 + $1255 + $2350
= $62,080
His gross income is $62,080
Answer:
His gross income is $62080
Step-by-step explanation:
Gross income, in other words, means total income. So if you want to find the gross income, you have to add ALL his earnings together.
$58475+$1255+$2350=$62080
And that is the final answer, since that his is only income earned.
a line contains points M(1,3) and N(5,0). What is the slope of MN
Answer:
-3/4, I believe
Step-by-step explanation:
m= y2-y1/x2-x1
m=0-3/5-1
m=-3/4
**please don't use this answer if you see something wrong with the explanation**
Suppose 435 students in a school are placed on teams for Play Day. Each team consists of more than two players and fewer than 30 players. All teams will have the same number of players. What size of teams are possible? How many teams of each size are possible?
Answer:
14.5
Step-by-step explanation:
divide
Vincent’s baseball coach suggested that he drink one-half gallon of water daily. If Vincent drinks one-half gallon of water, how many 8-ounce glasses will he drink?
Answer:
8 eight ounce glasses
Step-by-step explanation:
1 gallon = 128 oz
.5 gallons = 64 oz
64 oz / 8 oz glasses = 8 8-oz glasses
15-3yi=1/2x+2i solve for x and y
Answer:
x=2(5−3iy−2i)
Step-by-step
Regroup terms.
5-3iy= \frac{1}{2} x+2i
Simplify \frac{1}{2}x\frac{x}{2}
5-3iy= \frac{x}{2}+2i
Subtract 2i from both sides.
5−3iy−2i= \frac{x}{2}
Multiply both sides by 2.
(5−3iy−2i)×2=x
Regroup terms
2(5−3iy−2i)=x
Switch sides
x=2(5−3iy−2i)
The solution for the variables x and y are 30 and -2/3 respectively:
Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:
Comparing the real sides:
[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]
For the imaginary sides:
[tex]-3yi=2i\\-3y = 2\\y = -\frac{2}{3}[/tex]
Hence the solution for the variables x and y are 30 and -2/3 respectively:
Learn more here: https://brainly.com/question/17794535
please help!!!!!!!!!!!!!
Answer:
It is 5x - 9 = 21
Step-by-step explanation:
OOF DELTA MAtH suCKS
Which equation can be used to find 40 percent of 252
Answer:
you can look that up on google, answer is 100.8
Step-by-step explanation:
Solve for v. 4v = 10.24
Answer:
I believe the answer is V = 2.56
Step-by-step explanation:
10.24 divided by 4 is 2.56. And 2.56 times 4 is 10.24.
Seven more than the cube of a number
Answer:
7+x^3
it cannot be simplified
The River Springs Middle School SGA wants to put on an 8th grade field trip to Universal Studios. They need to raise at least $1250 for the entire 8th grade to be able to go.Mrs Gotlib donates $600.To raise the rest of the money,SGA will sell candy bars for $5 each. Which inequality represents how many candy bars SGA will need to sell.
Please help me with this problem, i will give the max points.
Answer:
600+5c greater than or equal to sign 1250
Step-by-step explanation:
They need to raise at least 1250$ but they can also raise more than that and we do not know how many candy bars they will be able to sell.
Mr.Martin agreed to pay 4/5 of the 60 dinner bill how much will mr.Martin pay.WILL GIVE BRAINLIST
Answer:
he paid 48 dollars
Step-by-step explanation:
its 48 because he payed 4/5 which is 80 percent of 60 and 80 percent of 60 is 48
finding slope hw1 ( HELP PLEASE)
If a = 6,b=8, then what is 3ab?
Answer:
144
Step-by-step explanation:
3(6x8)
3x48
144
Answer:
144
Step-by-step explanation:
3 mutiplied by a, or 6, is 18.
18 Multiplied by b, or 8, is 144.
Which statement about the angle measures is true?
mZBAC + m2ABC = 95
mZBAC + m2ACB = 85
mZBAC-MZABC = 85
mZBAC + m2ACB =95
DONE
My Progress
Answer:
i think its the 2nd one
Step-by-step explanation:
What is √75 in simplest form? A. 25√3 B. 3√5 C 5√3 D. 5√50
Answer:
c.
Step-by-step explanation:
The square root of 75 is approximately 8.66025 or 5√3 in radical form. The factors of 75 can help in finding its square root.
Hope this helps:)
Answer: the answer is C! I hope this helped! :)
Step-by-step explanation:
15 + x ≤ –45 solve using inverse opertation
I believe the answer is x ≤ -60.
The local grocery store sells different sizes of peanut butter. Find the unit prices for each size container, and then identify the best deal.
12 oz: $
per oz
16.3 oz: $0.38 per oz
28 oz: $
per oz
64 oz: $
per oz
Which size is the best deal?
Answer:
The local grocery store sells different sizes of peanut butter. Find the unit prices for each size container, and then identify the best deal.
12 oz: $
✔ 0.35
per oz
16.3 oz: $0.38 per oz
28 oz: $
0.30
per oz
64 oz: $
✔ 0.33
per oz
Which size is the best deal?
✔ 28 oz
Step-by-step explanation:
I just copied and pasted it on here
Is 3125 a perfect cube ? If not find the smallest number by which 3125 must be multiplied so that the product becomes a perfect cube.
Answer:
Yes it is
Step-by-step explanation: 3125 is a prefect cube
Answer:
5
Step-by-step explanation:
3125 is not a perfect cube.
The cubes around it are 14^3=2744 and 15^3=3375.
It seems like the only way to find the smallest number to multiply 3125 to make it a perfect cube is to guess and check.
3125*2=6250 cube root is 18.4
3125*3=9375 cube root is 21.08
3125*4=12500 cube root is 23.2
3125*5=15625 cube root is 25, which makes it a perfect cube.
You have to multiply by 5 to make 3125 a perfect cube.
The Photography Club has 14 members, 10 girls and 4 boys. What is the ratio
of girls to boys in the Photography Club?
A. 5:2
B. 2:5
C. 1.2
Answer:
A
Step-by-step explanation:
Divide them both by 2 an you get 5 and 2. Since the question says girls to boys then you out the girls first. so 5:2
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
-Please provide step by step :)
Answer:
3.5 hours
Step-by-step explanation:
It is given that,
Velocity of first car, v = 20 mph
Velocity of second car, v' = 60 mph
They are moving in opposite direction. Their relative speed is given by :
V = 20 mph + 60 mph = 80 mph
Distance, d = 280 miles
So,
[tex]t=\dfrac{d}{V}\\\\t=\dfrac{280}{80}\ h\\\\t=3.5\ h[/tex]
Hene, they will be 280 mile apart in 3.5 hours.
g(x) = 3x - 2 Find g(-4)
Step-by-step explanation:
g(x) = 3x - 2
g(-4) = 3(-4) - 2
= -12 -2
= -14
Answer:
Given : g(x) = 3x-2
To find : g(-4)
Step-by-step explanation:
Solution : put g(x) = -4
Now,
g(-4) = 3(-4)-2
=-12-2
=-14
So,the g(-4) is -14....
I hope this may help you ❤️