Answer:
$4080
Step-by-step explanation:
65% = .65
$7200 x .65 = $4080
Manuel payed $4080 for the car.
hope this helps :)
Anna is making a sculpture in the shape of a triangular prism. The triangular bases have sides of 10m 10m and 12m and the height is 8m. She wants to coat it in a special finish so it preserves longer. if the sculpture is 5m thick what is the total area she will have to cover with the finish
Find general solutions of the differential equation. Primes denote derivatives with respect to x.
6xy^3+2y^4+(9x^2y^2+8xy^3) yâ²=0
Answer:
[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]
Step-by-step explanation:
From the differential equation given:
[tex]6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0[/tex]
The equation above can be re-written as:
[tex]6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0[/tex]
[tex](6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0[/tex]
Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.
Then;
M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:
[tex]\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}[/tex]
relating with equation M(x,y)dx + N(x,y) dy = 0
Then;
[tex]M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3[/tex]
So;
[tex]\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3[/tex]
[tex]\dfrac{\partial N}{\partial y }[/tex]
Let's Integrate [tex]\dfrac{\partial F}{\partial x}= M(x,y)[/tex] with respect to x
Then;
[tex]F(x,y) = \int (6xy^3 +2y^4) \ dx[/tex]
[tex]F(x,y) = 3x^2 y^3 +2xy^4 +g(y)[/tex]
Now, we will have to differentiate the above equation with respect to y and set [tex]\dfrac{\partial F}{\partial x}= N(x,y)[/tex]; we have:
[tex]\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1[/tex]
Hence, [tex]F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1[/tex]
Finally; the general solution to the equation is:
[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]
Question
If an 8 ounce fruit drink costs $1.50, then how much should a 128
ounce (1 gallon) fruit drink cost? (just write the number, no dollar sign)
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation: Just multiply 16x1.50
The area of the rectangular painting is
given by the trinomial x^2 - 6x - 16. The
door's width is (x + 2). What is the door's
length?
Answer:
(x-8)
Step-by-step explanation:
you can test with FOIL, use division or synthetic division
Help me with my homework fast pls
Answer:
2211.68
Step-by-step explanation:
V=πr^2h
V=π64*22
V=2211.68
a random sample of cats at different animal shelters in a city shows that 12 of the 60 cats are kittens. The city's animal shelters collectively house 1,200 cats each year. About how many cats in all of the city's animal shelters are kittens?
Answer:
240
Step-by-step explanation:
1200÷60=20×12=240
if x is my age then y is my friends age write and equation that gives the sum of our ages is 108. Write and equation given that my friends age Is double my age. what are our ages? find out by solving a system my age is and my friends age is
Answer:
Your age is 36 and your friends age is 72.
Step-by-step explanation: divide 108 by 3 (36) then take 2 of the thirds add them (72).
The point D(-3, 1) is reflected over the x-axis. What are the coordinates of the resulting point, D′?
Answer:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Step-by-step explanation:
For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
Which of the following segments is tangent to the circle?
If a certain factory produces 24 Pepsi bottles of one liter capacity each in 12 minutes,
approximately how many Pepsi bottles does it produce in one hour?
Answer:
It produces 120 bottles in one hour.
Step-by-step explanation:
This question can be solved by proportions.
24 Pepsi bottles of one liter capacity each in 12 minutes
24/12 = 2 bottles per minute.
How many Pepsi bottles does it produce in one hour?
One hour has 60 minutes. So
60*2 = 120
It produces 120 bottles in one hour.
Write in expression form:
Seven times the quotient of 8 and 5
Answer:
7 x (8 ÷ 5)
hhhhhhhhhhhhhhhhhhhhhhhhhhh
While measuring the length of a knitting needle, the reading of the scale at one end is 5cm and at the other end is 40cm. what is the length of the needle?
Answer:
The length of the needle is 35cm
Step-by-step explanation:
Given
[tex]End\ 1 = 5cm[/tex]
[tex]End\ 2 = 40cm[/tex]
Required
The length of the needle (L)
This is calculated as thus:
[tex]L = End\ 2 - End\ 1[/tex]
[tex]L = 40cm - 5cm[/tex]
[tex]L = 35cm[/tex]
The length of the needle is 35cm
please please i have been stuck for the whole day please answer this correctly : is 2/5 close to 0, 1/2 or 1 and why the first will be marked brainliest
Answer:
2/5 = 4/10 < 5/10 = 1/2, i.e. 2/5<1/2; therefore, 2/5 is closer to 1/2 than to 1.
Step-by-step explanation:
For a point on the unit circle, if θ lies in quadrant IV, what could be the value of cos(θ)? HINT: It's not B.
A. 3/5
B. sqrt41/5
C. -3/5
D. -sqrt41/5
Answer:
It is A. 3/5
I just took the test and got it correct and I hope this helps! :)
What is the sum of the x minus x bar squared? (this is the work you do on
the to variance and standard deviation. It is literally the step before you
find the variance) *
23, 17, 49, 59, 25, 78, 29
3,000
285
280
3,050
3,500
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
can i get factors of 324
Answer:
Factors of 324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Step-by-step explanation:
Solve for x in the figure below
Answer:
x = 20
Step-by-step explanation:
5x - 21 = 2x + 39 (corresponding angles are congruent)
Collect like terms
5x - 2x = 21 + 39
3x = 60
Divide both sides by 3
3x/3 = 60/3
x = 20
Which of the following functions has two zeros at (−4, 0), (1, 0), and a y-intercept at (0,−2)?
A refrigerator is priced at $525 with a 6% sales tax. What is the sales tax for the refrigerator?
A $315.50
B $31.50
C $493.97
D $557.03
Answer:
B. $31.50
Step-by-step explanation:
525 x .06=31.50
Answer:
B. $31.53
Step-by-step explanation:
You must divide
Find the missing angle according to the Triangle Exterior Angle Theorem
Answer:its obviously 128
Step-by-step explanation:
Which
expression is equivalent to
-5/3 x
Answer:
The picture below will be at help, hopefully! ^^'
Step-by-step explanation:
Find the exact value of sin A in simplest radical form.
Step-by-step explanation:
sin A = p/h
= √75 / 10
so the value is √75/10
please help out its due today :]
Answer:help this kid
Step-by-step explanation:
Joe completed 7 pages of homework over 3 hours. Nina completed 5 pages over two hours. Who was completing the work at a faster pace?
Answer:
Joe
Step-by-step explanation:
Jenny is x years old. Thomas is 3 times as old as her. Jenny is 5 years older than Alexis.
A) Find Alexis's age in terms of x
B) Find Thomas's age in terms of x.
C) If x=12, how much older is Thomas than Jenny?
Answer:
C IS 36 CUZ 12X3=36
Step-by-step explanation:
sry i only can solve c
In the figure angle B= angle D. AB=40, AC=35, BC=25, CE=28. Find ED to the nearest whole number. ( see image )
Answer:
i believe the answer is D
Step-by-step explanation:
im not entirely sure but that's what i got.
What value of X guarantees that BC || DE?
Answer Choices:
1, 4, 5, 6.25
help me out :) & feel free to add an explanation <3
Answer:
4
Step-by-step explanation:
as BC║DE
so, AD:BD=AE:CE
or, CE=(BDₓAE)/AD
or, x=(5×16)/20=4
A regular octagon with sides of length 8 and an apothem of length 9.66 has
an area of ___ square units
Α. 73.66
Β. 77.28
C. 17.66
D. 309.12
Ε. 38.64
F. 618.24
Answer:
D. 309.12
Step-by-step explanation:
The computation of the area is shown below:
As we know that
Area = a4s
where
a denotes apothem
s denotes side
So, the area is
= 9.66 (4) (8)
= 9.66 (32)
= 309.12 square units
I need help asap will mark the brainliest
Answer:
whats the
Step-by-step explanation:
question
Find the area of the region enclosed by the graphs of the functions
f(x)=x^2, g(x)=x^6
by partitioning the x- axis.
(Use symbolic notation and fractions where needed.)
Answer:
[tex]\displaystyle A = \frac{8}{21}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFunctionsFunction NotationGraphingSolving systems of equationsCalculus
Area - Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
*Note:
Remember that for the Area of a Region, it is top function minus bottom function.
Step 1: Define
f(x) = x²
g(x) = x⁶
Bounded (Partitioned) by x-axis
Step 2: Identify Bounds of Integration
Find where the functions intersect (x-values) to determine the bounds of integration.
Simply graph the functions to see where the functions intersect (See Graph Attachment).
Interval: [-1, 1]
Lower bound: -1
Upper Bound: 1
Step 3: Find Area of Region
Integration
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx[/tex][Area] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx[/tex][Area] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = \frac{2}{3} - \frac{2}{7}[/tex][Area] Subtract: [tex]\displaystyle A = \frac{8}{21}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e