Parameterize C by
x(t) = 2 cos(t) ⇒ dx/dt = -2 sin(t)
y(t) = 2 sin(t) ⇒ dy/dx = 2 cos(t)
with -π/2 ≤ t ≤ π/2. Then the line element is
ds = √((dx/dt)² + (dy/dt)²) dt = 2 dt
and the line integral is
[tex]\displaystyle \int_C xy^4 \, ds = \int_{-\frac\pi2}^{\frac\pi2} 2\cos(t) \cdot (2\sin(t))^4 \cdot (2 \, dt) = 64 \int_{-\frac\pi2}^{\frac\pi2} \cos(t) \sin^4(t) \, dt[/tex]
Substitute u = sin(t) and du = cos(t) dt. Then
[tex]\displaystyle \int_C xy^4 \, ds = 64 \int_{-1}^1 u^4 \, du = \frac{64}5 (1^5 - (-1)^5) = \boxed{\frac{128}5}[/tex]
Bills new porch is rectangular with an area of 50 square feet.
Considering the whole question, the perimeter of the porch is 30 feet.
This is because the whole question is, "Bill's new porch is rectangular, with an area of 50 square feet. if the length of the porch is two times the width, what is the perimeter of the porch?"
Therefore to find the perimeter of the porch, here is the step by step:
Given that the length of the porch is two times the width.
Hence, assume that the width = X
Also, assume that the length = 2X
The general formula here:
50 = X × 2X
X × 2X50 = 2x²
2x²X² = 50 ÷2
50 ÷2X² = 25
25X = √25
√25X = 5
Hence, width = 5 feet.
Given that length of the porch is two times the width = 5 × 2 => 10 feet
Therefore Perimeter of a rectangle = 2 (Length + Breadth)
Put all the values in the formula
Perimeter of the porch = 2 × (5 + 10)
= 2 × (15)
= 30 feet.
Hence, in this case, it is concluded that the correct answer is 30 feet.
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Some numbers are formed with closed paths.
Answer:
what is the question
Explanation:
Which list of symbols represents nonmetals, only?.
Answer:
100 points branly salamat
To what extent do covalent compounds conduct electricity?.
Answer:
A covalent bond is formed between non metal atoms, which combine together by sharing electrons. Covalent compounds have no free electrons and no ions so they don't conduct electricity
Explanation:
Answer:
the answer is never
Explanation:
i did the test :)
The answer is mashed potatoes.
Answer: what did he sayyy
Explanation:
Find the value of 6.
Answer:
B if your question is same as mine
Explanation:
the definition of ! ( factorial ) is
n! = n(n - 1)(n - 2) ........ × 3 × 2 × 1
6 = 6 × 5 × 4 × 3 × 2 × 1 = 720
BRAINLIEST
How many positive integers are there between 100 and 999.
Answer:
be the positive integers between 100 and 999 inclusive. contains 900 integers, while we are interested in integers divisible by 7. Thus 128 integers are divisible by 7.
Explanation:
hope this helps
Answer:
Let be the set of positive integers between 100 and 999. The set contains 900 integers, and the integers are divisible by 7. By division rule, where is the finite set with union of pairwise disjoint subsets with elements.
Explanation:
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A new roller coaster contains a loop the loop.
Answer: Have you ever been to that type of roller coaster?
Explanation: If so cool.
After earning $50 million in net income, monroe millwork distributed $15 million in dividends to its stockholders. Monroe’s board of directors decided to invest the remaining $35 million back into the business. This $35 million reinvestment of profits represents.
Based on the information given, it can be deduced that the reinvestment of profit which is $35 million is known as the retained earnings.
Retained earnings simply refer to part of the cumulative profit that is earned by a company which is saved for future use.
Retained earnings are typically earned from the net income at the end of a particular period. In this case, the company had a net income of $50 million and distributed $15 million as a dividend.
Therefore, the remaining $35 million is the retained earnings.
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Hydrogen reacts with chlorine to form hydrogen chloride (HCl (g), Delta. Hf = –92. 3 kJ/mol) according to the reaction below. Upper H subscript 2 (g) plus upper C l subscript 2 (g) right arrow 2 upper H upper C l (g). Which statement is correct? Use Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants. The enthalpy of the reaction is –184. 6 kJ, and the reaction is exothermic. The enthalpy of the reaction is –184. 6 kJ, and the reaction is endothermic. The enthalpy of the reaction is 184. 6 kJ, and the reaction is endothermic. The enthalpy of the reaction is 184. 6 kJ, and the reaction is exothermic.
Answer:
a
Explanation:
aaa
The statement which is correct about the reaction of hydrogen with chlorine is used Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants. The correct option is A.
What is a chemical reaction?A chemical reaction is a transformation of one or more chemicals (the reactants) into one or more distinct compounds (the products). Chemical elements or chemical compounds make up substances.
When a chemical reaction occurs, the reactance responds by rupturing the bonds in the energy and forming new compounds. Breaking chemical bonds between reactant molecules (particles) and creating new bonds between atoms in product particles are two aspects of chemical reactions (molecules).
Therefore, the correct option is A, Use Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants.
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apparition
enchanted
ghost
ghostly
ghoulish
goblin
haunted house
haunting
Which of the following describes a consumer installment loan?.
Answer: hums 202 Which of the following describes a consumer installment loan? A. A loan you get based on the tax refund that you expect to receive. B. A loan that is repaid in equal monthly payments for a specific period of time, usually several years. C. A loan where you have to promise to give the bank your assets if you do not repay the loan. D. A loan for consumer goods where you own the item(s) at the end of the payment period.
Explanation: all you have to do is search up the answer to this on brainly
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $6750 with a population standard deviation of $265. A sample of randomly selected 30 days reveals a daily mean revenue of $6280. If you were to test the null hypothesis that the daily mean revenue was $6750, which test would you use?.
Based on the given value of sample size and the population standard deviation, the required test for the null hypothesis is the Z test of population mean.
The Z test of population is used to test the null hypothesis of a Normal distribution. Since, the sample size is large (>30) and the variance of the population is known, the most appropriate test of hypothesis to use is the Z test of population mean.Learn more : https://brainly.com/question/25576166
An angle measures 4. 3 radians. To the nearest degree, what is the measure of the angle? degrees.
Tim drives at an average speed of 80km.
Answer:
and? I dont know Tim.
Explanation:
You get lost in extremely cold weather. You are unable to start a fire. Which of the following is the best way to survive?.
Answer:
go back in time and dont go anywhere cold
Explanation:
A hydrophobic amino acid r group would be found where in a protein.
Answer:
It will be found on the inside of the protein structure
What is "four times the sum of x and y" in a mathematical phrase?.
Answer:
4(x + y)
Explanation:
Have a nice day
In the cycle shown is mantle made of silicate rocks why.
Answer:
The rocks that make up Earth's mantle are mostly silicates—a wide variety of compounds that share a silicon and oxygen structure. Common silicates found in the mantle include olivine, garnet, and pyroxene.
Explanation:
Solve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5.
Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Explanation:
[tex]\sf 9(x + 1) = 25 + x[/tex]
*Apply Distributive property*
[tex]\leadsto\sf 9x+9=25+x[/tex]
Subtract 9 from both sides:
[tex]\leadsto\sf 9x+9-9=25+x-9[/tex]
[tex]\leadsto\sf 9x=x+16[/tex]
Subtract x from both sides:
[tex]\leadsto\sf 9x-x=x+16-x[/tex]
[tex]\leadsto\sf 8x=16[/tex]
Divide both sides by 8:
[tex]\leadsto\sf \cfrac{8x}{8}=\cfrac{16}{8}[/tex]
[tex]\leadsto\sf x=2[/tex]
_________________________________________
What is the acceleration of a 32 kg object if a 6. 75 n force is applied to it? 0. 21 m/s2 4. 74 m/s2 21. 09 m/s2 216. 00 m/s2.
The acceleration of the object is 4.74 m/s²
From the question given above, the following data were obtained:
Mass (m) = 32 Kg
Force (F) = 6.75 N
Acceleration (a) =?The acceleration of the object can be obtained as follow:
[tex]a = \frac{f}{m} \\ \\ a \: = \frac{32}{6.75} \\ \\ [/tex]
a = 4.74 m/s²Therefore, the acceleration of the object is 4.74 m/s²
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In the diagram, ce=12 units and be=5 units. Based on the given information, what is ae? 2 units 7 units 12 units 17 units.
Answer:
C. 12 units.
Right on edge
In the diagram, ce=12 units and be=5 units. Based on the given information. So, the answer will be 7 units. Thus, option B is correct.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In the diagram,
⇒ CE = 12 units
⇒ BE = 5 units
Now,
Since, Triangle CBE is an right triangle.
And, We have;
⇒ CB = AB
⇒ ∠DBC = 90°
⇒ ∠ABE = ∠DBC = 90° (opposite angles formed by the intersection of AC and DE.)
As, ∠CBE and ∠ABE are supplementary angles and form a straight line.
So, We get;
⇒ ∠CBE + ∠ABE =180°
⇒∠CBE = 180° - ∠ABE
= 180°- 90°
= 90°
And, Between triangle ΔCBE & ΔABE;
⇒ ∠CBE = ∠ABE = 90°
⇒ CB = AB (given)
⇒ BE = BE (common side)
Hence, The triangles Δ CBE & ΔABE are congruent.
⇒ Δ CBE ≅ ΔABE( by S-A-S Congruency)
⇒ CE = AE ( as triangle Δ CBE & ΔABE are congruent then the sides are same.)
⇒ AE = 12 units
Thus, The length of AE = 12 units
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My mom/suggested/keep the surroundings/clean and green.
Considering the incomplete sentence in the question, to make the sentence complete, we have "My mom suggested to keep the surroundings clean and green."
The word "to" is a preposition. It is used to express a situation approaching a specific condition.
Here, the preposition "to" is used to describe the condition in which the surroundings must reach.
The word "to" can also serve as an adverb or incentive marker.
Hence, in this case, it is concluded that the complete and correct sentence is "My mom suggested to keep the surroundings clean and green."
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A study was designed to investigate the effects of two variables--(1) a student’s level of mathematical anxiety and (2) teaching method--on a student’s achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 450 with a standard deviation of 30 on a standardized test. The test scores follow a normal distribution.
Using the Empirical Rule, it is found that approximately 68% of the students would score between 420 and 480.
The Empirical Rule states that for a normal variable:
68% of the measures are within 1 standard deviation of the mean.95% are within 2.99.7% are within 3.In this problem, the mean is of 450 while the standard deviation is of 30.
450 - 30 = 420
450 + 30 = 480
Hence, approximately 68% of the students would score between 420 and 480.
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Which comparison between events in the passage would best support a claim that a significant theme of the passage is fulfillment?.
The comparison that illustrates the theme is Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
The theme of a story simply means the central idea that's conveyed in a story. It illustrates what the author wants the readers to know in the story.
The comparison between events in the passage support a claim that a significant theme of the passage is fulfillment. This was illustrated as Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
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Which best describes an electron cloud.
What is a polynomial function in standard form with zeros 1 –1 2 and 4.
The polynomial function obtained from the Zeros given, written in standard form is x⁴ - 6x³ + 7x² + 6x - 8
Hope it helps!
Answer:
x⁴ - 6x³ + 7x² + 6x - 8
Explanation:
Write the linear factor for each zero.
[tex]g(x) = (x - 1) (x + 1) (x - 2) (x - 4)[/tex]
Multiply the first two, then the second two.
[tex]g(x) = (x^{2} + x - x -1) = (x^{2} - 1) then (x^{2} - 4x - 2x + 8)[/tex]
Use the Distributive Property.
[tex](x^{2} - 1) (x^{2} - 6x + 8) = (x^{4} - 6x^3 + 8x^{2} - x^{2} + 6x - 8)[/tex]
Simplify.
[tex]x^{4} - 6x^{3} + 7x^{2} + 6x - 8[/tex]
Which of the following is a difference between phase 1 and phase 2 of meiosis.
ok done. thank to me :>
A significant factor in the exponential population growth over the past two centuries is:.
A significant factor in the exponential population growth over the past two centuries is; good sanitation and medical advances.
In exponential growth, the rate of the growth in population usually increases over time and this is usually directly proportional to the size of the population.
Now, this rate discussed above usually causes the population to increase much more faster.
We can say that good sanitation and medical advances will contribute to the exponential growth of the human population due to the fact that when an environment is clean, it will prevent the accumulation of dirt and infectious particles to accumulate inside the body which means less contraction of deadly diseases.
Secondly, medical advances have helped in curing of deadly diseases that cause more deaths and this means the death rate will decrease and population will increase.
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A bat emits a sound at a frequency of 3. 00 × 104 hz as it approaches a wall. The bat detects beats such that the frequency of the echo is 900 hz higher than the frequency the bat is emitting. The speed of sound in air is 340 m/s. The speed of the bat is closest to.
Taking into account the Doppler efect, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].
The Doppler effect is defined as the apparent frequency change of a wave produced by the relative movement of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.
The following expression is considered the general case of the Doppler effect:
[tex]f1=f\frac{v+-vR}{v+-vE}[/tex]
Where:
f1, f: Frequency perceived by the receiver and frequency emitted by the issuer respectively. Its unit of measurement in the International System (S.I.) is the hertz (Hz), which is the inverse unit of the second (1 Hz = 1 s⁻¹) v: Velocity of propagation of the wave in the medium. It is constant and depends on the characteristics of the medium. In this case, the speed of sound in air is considered to be 340 m/s vR, vE: Speed of the receiver and the sender respectively. Its unit of measure in the S.I. is the m/s ±, ∓: We will use the + sign:In the numerator if the receiver approaches the sender
In the denominator if the sender moves away from the receiver
We will use the sign -:In the numerator if the receiver moves away from the emitter
In the denominator if the sender approaches the receiver
In this case, a bat emits a sound at a frequency of 3.00×10⁴ Hz= 30,000 Hz as it approaches a wall.
The bat detects beats such that the frequency of the echo is 900 hz higher than the frequency the bat is emitting.
So, you know:
f1= 30,000 Hz + 900 Hz= 30,900 Hzf= 30,000 Hzv= 340 m/svE=vR= vbatReceiver approaches the senderReplacing in the expression is considered the general case of the Doppler effect:
[tex]30900 Hz=30000 Hz\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
Solving:
[tex]\frac{30900 Hz}{30000 Hz} =\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
[tex]1.03=\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
1.03×( 340[tex]\frac{m}{s}[/tex] -vbat)= 340 [tex]\frac{m}{s}[/tex] + vbat
1.03×340[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat
350.2[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat
350.2[tex]\frac{m}{s}[/tex] - 340 [tex]\frac{m}{s}[/tex]= vbat + 1.03×vbat
10.2 [tex]\frac{m}{s}[/tex]= 2.03×vbat
10.2 [tex]\frac{m}{s}[/tex]÷ 2.03 = vbat
5.02 [tex]\frac{m}{s}[/tex]= vbat
In summary, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].
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