Answer:
[tex]thank \: you[/tex]
The number of candies left in the bag is given by the equation n = 40 candies
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as n
Now , the value of A is
The number of candies which were eaten = 80 candies
The fraction of candies that were eaten = 2/3
So , ( 2/3 ) of the total = 80
( 2/3 )A = 80
Multiply by 3 on both sides , we get
2A = 240
Divide by 2 on both sides , we get
A = 120 candies
Now , the number of candies that were left n = total number of candies - number of candies that were eaten
On simplifying the equation , we get
The number of candies that were left n = 120 - 80
The number of candies that were left n = 40 candies
Hence , the number of candies that are left is 40 candies
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find the y-intercept and x-intercept of the line. 2x+3y= -14
Answer:
X-intercept: (-7, 0)
Y-intercept: (0, -14/4)
Step-by-step explanation:
To find the intercepts plugin 0 for one variable and solve
2x+3(0)=-14
x=-7
2(0)+3y=-14
y=-14/3
1/4(-q + 6) = -5(-39 + 3)
Answer: hihihihihihih
Step-by-step explanation: hihihihihihii
37. Verify Green's theorem in the plane for f (3x2- 8y2) dx + (4y - 6xy) dy, where C is the boundary of the
C
region defined by: (a) y = fx , y = x2 ; (b) x = 0, y = 0, x +y = 1 .
Ans. (a) common value = 3/2 (b) common value = 5/3
38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
C plane, is traversed in the positive sense. Ans. - 87T
39. Work the previous problem for the line integral f (x2+y2)dx + 3xy2 dy. Ans. 127T
C 40. Evaluate f (x2-2xy)dx +(x2y+3)dy around the boundary of the region defined by y2 = 8x and x = 2
(a) directly, (b) by using Green's theorem. Ans. 128/5
(TT.2) 41. Evaluate f (6xy - y2) dx + (3x2 --- 2xy) dy along the cycloid x = 6 - sin 6, y = 1 - cos 6.
I'll only look at (37) here, since
• (38) was addressed in 24438105
• (39) was addressed in 24434477
• (40) and (41) were both addressed in 24434541
In both parts, we're considering the line integral
[tex]\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy[/tex]
and I assume C has a positive orientation in both cases
(a) It looks like the region has the curves y = x and y = x ² as its boundary***, so that the interior of C is the set D given by
[tex]D = \left\{(x,y) \mid 0\le x\le1 \text{ and }x^2\le y\le x\right\}[/tex]
• Compute the line integral directly by splitting up C into two component curves,
C₁ : x = t and y = t ² with 0 ≤ t ≤ 1
C₂ : x = 1 - t and y = 1 - t with 0 ≤ t ≤ 1
Then
[tex]\displaystyle \int_C = \int_{C_1} + \int_{C_2} \\\\ = \int_0^1 \left((3t^2-8t^4)+(4t^2-6t^3)(2t))\right)\,\mathrm dt \\+ \int_0^1 \left((-5(1-t)^2)(-1)+(4(1-t)-6(1-t)^2)(-1)\right)\,\mathrm dt \\\\ = \int_0^1 (7-18t+14t^2+8t^3-20t^4)\,\mathrm dt = \boxed{\frac23}[/tex]
*** Obviously this interpretation is incorrect if the solution is supposed to be 3/2, so make the appropriate adjustment when you work this out for yourself.
• Compute the same integral using Green's theorem:
[tex]\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy = \iint_D \frac{\partial(4y-6xy)}{\partial x} - \frac{\partial(3x^2-8y^2)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^1\int_{x^2}^x 10y\,\mathrm dy\,\mathrm dx = \boxed{\frac23}[/tex]
(b) C is the boundary of the region
[tex]D = \left\{(x,y) \mid 0\le x\le 1\text{ and }0\le y\le1-x\right\}[/tex]
• Compute the line integral directly, splitting up C into 3 components,
C₁ : x = t and y = 0 with 0 ≤ t ≤ 1
C₂ : x = 1 - t and y = t with 0 ≤ t ≤ 1
C₃ : x = 0 and y = 1 - t with 0 ≤ t ≤ 1
Then
[tex]\displaystyle \int_C = \int_{C_1} + \int_{C_2} + \int_{C_3} \\\\ = \int_0^1 3t^2\,\mathrm dt + \int_0^1 (11t^2+4t-3)\,\mathrm dt + \int_0^1(4t-4)\,\mathrm dt \\\\ = \int_0^1 (14t^2+8t-7)\,\mathrm dt = \boxed{\frac53}[/tex]
• Using Green's theorem:
[tex]\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dx = \int_0^1\int_0^{1-x}10y\,\mathrm dy\,\mathrm dx = \boxed{\frac53}[/tex]
Please answer the question above!
Answer:
B) [tex]A=4x+8[/tex]
Step-by-step explanation:
Hi there!
Area of a trapezoid: [tex]A=\displaystyle\frac{1}{2}h(b_1+b_2)[/tex]
⇒ b₁ = x-3
⇒ b₂ = x+7
⇒ h = 4
Plug the given information into the equation:
[tex]A=\displaystyle\frac{1}{2}(4)[(x-3)+(x+7)]\\\\A=\displaystyle\frac{1}{2}(4)(x-3+x+7)\\\\A=2(2x+4)\\\\A=4x+8[/tex]
Therefore, the area of the trapezoid is [tex]4x+8[/tex].
I hope this helps!
What is the equation of the line that is perpendicular to the line x=2 and
goes through the point (1,-3)? *
Step-by-step explanation:
P(x,y)=(1,-3)
line is perpendicular to x=2 which shows that line is parallel to x-axis.
angle=0°
m=tan(angle)
m=tan0°
m=0
By using point slope form:
y+3=0(x-1)
y+3=0
Note:if you need to ask any question please let me know.Help please due today
The copy is the exact same as the original, so the scale factor would be 1.
The answer is the first choice
Which symbol correctly compares the two fractions? Use >, <, or =. Select the correct choice from the drop down. 2/4 Choose... 3/8
Answer:
3/8
Step-by-step explanation:
Evaluate the expression
Step-by-step explanation:
this is correct answer thank you
20 - (30 -50) x 10
= 20 - (-20) x 10
= 20 - 20 x 10
= 0 x 10
= 0
where is the mistake?
Answer:
20-(30-50)×10
20 - × - 20 ×10
20+20×10
20+200
220
How many days are there in j weeks
Answer:
ummm is that a thing
Step-by-step explanation:
The area of a rectangle is 52 inches if the length is two times the width find the dimensions of the rectangle round off your answer to the nearest hundredth
Answer:
about 5.10 by 10.20 inches
Step-by-step explanation:
You can substitute the width for "x"
This would make the length 2x as it is two times the width
Area in a rectangle is Length times Width, so in this case it would be 2x * x
It gives you the area as 52 inches, so you can substitute this in the equation making it 52 = 2x^2
divide by two on both sides: 26 = x^2
take the square root of both sides, and x is 5.0999
Now to find the length, just double it, which rounds out to 10.20
5.0999 rounds to the hundredth as 5.10
so for dimensions you have 5.10 by 10.20
Please help me with this math question, try and explain it too if possible so I can understand.
Answer:
UW = 67
Step-by-step explanation:
In order to find UW, we need to add UV and VW because them together makes the entire line, also known in this problem as UW. This is our equation:
UV + UV = UW
This is the equation if you plug the numbers:
19 + 4x - 20 = 6x - 35
Combine like terms to make it easier to do the math:
4x - 1 = 6x - 35
Then do the math:
(4x - 4x) -1 = (6x - 4x) - 35
-1 = 2x - 35
(-1 + 35) = 2x (- 35 + 35)
34 = 2x
34/2 = 2x/2
x = 17
Then you plug in x for the UW expression:
6x - 35
6(17) - 35
102 - 35
67
UW = 67
!!PLEASE HELP!!! FOR 30 POINTS
According to the graph of the rational function
y= 4/x^2-4
which of the following statements is/are true?
I. The function is even
II. The function is increasing for all values in the domain
III. There is a horizontal asymptote along the x-axis,
I only
I and II only
I and Ill only
I, II and III
9514 1404 393
Answer:
I and III only
Step-by-step explanation:
The graph is symmetrical about the y-axis, so is an even function.
The function is decreasing in the 1st quadrant, so is not increasing everywhere.
The values of the function approach y=0 for extreme values of x, so the graph shows that as a horizontal asymptote.
I and III only
Reduce 6x /12x is it 1/2
Answer:
tero bau ko tauko got it sjdhhrurjrbr
Answer:
LHS=6x/12x=6/12=1/2
RHS=1/2
LHS=RHS
What is the value of (x – 3) if – 5(3x – 9) = -15?
The value of the required expression (x- 3 ) using the given equation -5(3x - 9) = -15 is equal to 1.
Let's solve for the value of "x" in the given equation:
-5(3x - 9) = -15
First, distribute the -5 on the left side of the equation:
-15x + 45 = -15
Now, subtract 45 from both sides to isolate the term with "x":
-15x = -60
Divide both sides by -15 to solve for "x":
x = 4
Now that we have the value of "x," we can find the value of (x - 3):
x - 3
= 4 - 3
= 1
Therefore, the value of (x - 3) is 1.
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what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?
Answer:
15 cm.
Step-by-step explanation:
Recall that the arc-length of a circle is given by the formula:
[tex]\displaystyle s = r\theta[/tex]
Where r is the radius and θ is the measure of the central angle in radians.
The circle has a diameter of 24 cm, so its radius is 12 cm.
And its central angle is 1.25 radians. Hence, the arc-length will be:
[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]
In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.
Given that BE bisects LAB Din the figure below, find the value of x.
help please!
Solve for t and show your work in details please
Answer:
0t=8
Step-by-step explanation:
3t+4=12+3t
3t-3t=12-4
0t=8
The value of 8 in 780,401 is than the value of the 8 in 2,806
Answer: greater
I hope that was what you were looking for...
how do you write 2 4/9 as a decimal
please help
4
2 --
9
Answer:
2.4 put a bar over the 4 because it is repeating
Step-by-step explanation:
22/9 =
22 divided by 9
equals
4. Tabatha is dining out at Mandee's and decides to get an order of curly fries,
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does her
total bill come to?
How would I write 4 less than half a number is 12 as an equation?
Answer:
[tex]4 - \frac{1}{2}x = 12 [/tex]
I hope it helps
please mark me brainliest
Answer:
[tex]number = x \\ \frac{x}{2} - 4 = 12 \\ \frac{x}{2} = 12 + 4 = 16 \\ \frac{x}{2} = 16 \\ x = 16 \times 2 = 32[/tex]
Synthetic Substitution
(x+y)(x^2-xy+y^2)
Answer:
x^3 - y^3
Step-by-step explanation:
A scuba diver is 30 feet below sea level. She then rises 30 feet. What is the scuba
diver's new position?
Answer:
The scuba diver is at sea level.
Step-by-step explanation:
Hi there!
We're given that the scuba diver is 30 feet below sea level, and then she rises 30 feet.
This means she would be at sea level, not above or below.
You can think of it on a vertical ruler; the scuba diver starts at 0, goes down 30 units and goes back up 30 units. She will end up at 0 again, which in this case is sea level.
I hope this helps!
it takes a lady 26 minutes to travel 3 km by walking the first part at 6 km per hour and running the second part at 10 km per hour what distance does she walk
Answer:
78 meter 360meters 600 meters
What is the distinguishing feature of a profession?
Answer:
Some things you must have in order to be that certain profession is:
Accounts receivable (order to cash)
Accounts payable (procure to payment)
Financial close.
Time and expense capture.
Fund accounting.
Project accounting.
Revenue recognition and management.
Step-by-step explanation:
If need anything else let me know, if not pls mark me as brainliest :)
When both quantities in a rate are fractions, what strategy
do you use to write the rate as a unit rate?
When both quantities in a rate are fractions, the strategy to write the rate as a unit rate is to divide both the numerator and denominator of the rate by their greatest common factor (GCF) to simplify the fraction.
To write the rate as a unit rate:
1. Identify the rate, which is a fraction with a numerator and a denominator.
2. Find the greatest common factor (GCF) of the numerator and denominator.
3. Divide both the numerator and denominator by the GCF to simplify the fraction.
4. The resulting simplified fraction is the unit rate.
For example, if the rate is 3/6, the GCF of 3 and 6 is 3. Divide both the numerator and denominator by 3:
3/6 ÷ 3/3 = 1/2
So, the unit rate of 3/6 is 1/2.
By converting the rate to a unit rate, we make it easier to compare the rate for a single unit of one quantity to a single unit of the other quantity, making it more convenient for comparison and analysis.
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Solve for x: x + 8 = 15
Answer:
7
Step-by-step explanation:
x + 8 = 15
Subtracting 8 from both sides,
x = 15 - 8
=> x = 7
A couple purchased a home for $225,000. At the end of each year the home increases in value by 3%.
What is the value of the home after the tenth year?
[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\longmapsto I=\dfrac{225000(3)(10)}{100}[/tex]
[tex]\\ \sf\longmapsto I=22500(3)[/tex]
[tex]\\ \sf\longmapsto I=67500[/tex]
The value of the home after the tenth year is 67500.
To find the value of the home after the tenth year?
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that:
Principal=P=$225000
Rate of interest=R=3%
Time=10 year
By the use of formula:
[tex]I=\frac{PRT}{100}[/tex]
[tex]I=\frac{225000*3*10}{100} \\\\I=22500*3\\\\I=67500[/tex]
So, the value of the home after the tenth year is 67500.
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497 + 184
A. 581
B. 671
C.681
D.571
Answer:c
Step-by-step explanation:
