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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Which correctly applies the distributive property to show an equivalent expression to (8. 6)(–2. 5)? (8)(2) – (0. 6)(0. 5) (8)(–2) – (0. 6)(–0. 5) (8. 6)(2) – (8. 6)(0. 5) (8. 6)(–2) + (8. 6)(–0. 5).
Answer:
the answer is D or the forth answer or (8.6)(–2) + (8.6)(–0.5)
Explanation:
I know because I am doing the test right now
For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student.
The probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be 71/248.
From the information given, the number of students that are in grade 10 is 105. Out of all the students, 34 had salad and 71 had French fries. The total students in the school that are French fries was 248.
Therefore, the probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be calculated thus:
= Number of students who French fries in grade 10 / Total number of people that had French fries
= 71/248
In conclusion, the correct option is 71/248.
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Which strategy used in the above essay appeals to the audience’s sense of logic? a) use of details b) appeal to ethics c) attention grabber d) emotional language.
Answer:
A) Use of details
Explanation:
Got it right on the test :)
Answer:
A) Use of details
Explanation:
Consider the following line integral. C xy dx + x2y3 dy, c is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4).
It looks like the integral is
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy[/tex]
Let's close the loop by adding a line integral over the line segment joining (1, 4) to (0, 0). Then the closed loop is the triangular region
T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x}
Since the integrand has no singularities over or on the boundary of T, we have by Green's theorem
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy = \iint_T \left(\frac{\partial(x^2y^3)}{\partial x} - \frac{\partial(xy)}{\partial y}\right) \, dx \, dy = \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx[/tex]
Compute the double integral:
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 \int_0^{4x} \left(128x^5 - 4x^2\right) \, dx = \frac{60}3[/tex]
From this result, we subtract the line integral over the extra line segment we added. Parameterize this path by
C' : {(1 - t, 4 - 4t) : 0 ≤ t ≤ 1}
The line integral over C' is
[tex]\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 (1-t)(4-4t)(-dt) + (1-t)^2(4-4t)^3(-4\,dt)[/tex]
[tex]\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 \left(256 t^5-1280 t^4+2560 t^3-2564 t^2+1288 t-260 \right) \, dt = -44[/tex]
so that the line integral over C alone is 60/3 - (-44) = 64.
I often relate to the following groups early childhood brainly.
A __________ is a group of words containing a subject and a predicate, but is not a sentence on its own. Phrase independent clause subordinate clause compound sentence.
Answer:
A subordinate clause is a group of words containing a subject and a predicate but is not a sentence on its own.
Explanation:
Ex:
after I ate lunch
because I am short
A package of nuts contains 3 servings, and each serving contains 150 calories. If you eat the entire package, how many calories did you consume?.
Answer:
450 calories 150 x 3 equals 450
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 is a solution to the equation? (x −2)(x 5) = 18 x = −10 x = −7 x = −4 x = −2.
(x−2) (x⋅5) = 18 = x=5 + √1155,5 − √1155
x=−7==−7 : x=−4==−4 : x=−2==−2
Answer:
d
Explanation:
Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p? m∠1 = 81° and m∠2 = 99° m∠3 = 99° and m∠4 = 99° m∠2 = 99° and m∠4 = 99° m∠4 = 81° and m∠1 = 81°.
The set of equation that is enough information to prove that lines c and d are parallel lines cut by transversal p is m∠2 = 99° and m∠4 = 99°. The c.
What are transverse lines?
A transversal line is a line that crosses two or more other lines at different locations. Line l meets a and b in the image below at two different locations, P and Q. Line l is the transversal line as a result.
When a transversal cuts two lines so that their subsequent interior angles are supplementary, the lines are said to be parallel. Two lines are parallel to one another if they are both parallel to the same line. When the marked consecutive internal angles are supplementary, lines m and n are parallel.
Therefore, the correct option is c, m∠2 = 99° and m∠4 = 99°.
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The question is incomplete. Your most probably complete question is given below: the image is added.
The set of equation that is enough information to prove that lines c and d are parallel lines cut by transversal p is m∠2 = 99° and m∠4 = 99°. The c.
What are transverse lines?A transversal line is a line that crosses two or more other lines at different locations. Line l meets a and b in the image below at two different locations, P and Q. Line l is the transversal line as a result.
When a transversal cuts two lines so that their subsequent interior angles are supplementary, the lines are said to be parallel. Two lines are parallel to one another if they are both parallel to the same line. When the marked consecutive internal angles are supplementary, lines m and n are parallel.
Therefore, the correct option is c, m∠2 = 99° and m∠4 = 99°.The set of equation that is enough information to prove that lines c and d are parallel lines cut by transversal p is m∠2 = 99° and m∠4 = 99°. The c.
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So just don't get overwhelmed and you'll make it out.
Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his options for learning this trade? select all that apply.
To be a licensed electrician requires deep knowledge of the field. Rami's options for learning this trade are;
He should applied degree at a two year college or He can study for a bachelor's degree at a four year collegeApprenticeship and trade schoolA licensed electrician job is not easy to obtain. It requires studying, years of being an apprentice or attending school, and years of work experience.
To be a licensed electrician, these steps should be followed:
Earn a high school diploma or Its equivalent. Try and attend a trade or vocational-technical school. Sign up as an electrician apprentice. Get licensed or certified.See full question blow
Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his option learning this trade? Select all that apply.
applied degree at a two year college bachelor's degree at a four year college vocational training in the military apprenticeship and trade school going directly into the workplaceLearn more from
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Answer: 1) applied degree at a two year college
3) Vocational training in the military
4) apprenticeship and trade school
Explanation: did on edge :)
Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4. 31.
The amount of his initial investment is $8361
The complete question says:
Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
The initial investment is the amount required to start a particular project, and the amount of the initial investment can be calculated by using the compound interest formula:
[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
where;
A = amountP = Principalr = interest rate n = number of months∴
[tex]\mathbf{12855.94 = P(1 + \dfrac{0.0431}{12})^{12 \times 10}}[/tex]
[tex]\mathbf{12855.94 = P(1 +0.003591666667)^{120}}[/tex]
[tex]\mathbf{12855.94 = P(1.53760)}[/tex]
[tex]\mathbf{P= \dfrac{12855.94}{(1.53760)} }[/tex]
P = $8361.043
P ≅ $8361
Therefore, we can conclude that the amount of the initial investment is $8361
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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 spherical balloon is inflating with helium at a rate of. How fast is the balloon's radius increasing at the instant the radius is ft? how fast is the surface area increasing?.
Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:
The radius is increasing at a rate of 0.6366 feet per minute.The surface area is changing at a rate of 80 feet squared per minute.The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
For this problem:
Inflation rate of 200 cubic feet per minute, hence [tex]\frac{dV}{dt} = 200[/tex]Radius is of 5 feet, hence [tex]r = 5[/tex]Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]200 = 4\pi (5)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{200}{100\pi}[/tex]
[tex]\frac{dr}{dt} = 0.6366[/tex]
The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:
[tex]S = 4\pi r^2[/tex]
Hence, the rate of change is:
[tex]\frac{dS}{dt} = 8\pi r\frac{dr}{dt}[/tex]
Hence:
[tex]\frac{dS}{dt} = 8\pi (5)(0.6366) = 80[/tex]
The surface area is changing at a rate of 80 feet squared per minute.
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Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?.
Answer:
I think he uses 5 1/2 cups of water.
Answer:
5 1/3
Explanation:
Adam by hugh cook meaning.
the poem focuses on Adam, the first person in Heaven, who had eaten the forbidden fruit. so the message is do what god tells you and if he tells you not to do something don't do it
How did buddhism influence east asian arts and crafts.
Adopting the Buddhist way of paying homage through art, Taoist art began being created and China developed its architectural culture.
Imagine that you are a writer for a leading newspaper company in the philippines brainly.
If I was a writer, the implementation of a 24-hour curfew for minors in time of pandemic is vital in order to keep them safe.
This is an incomplete question. The question is about the implementation of a 24-hour curfew for minors in time of pandemic. A pandemic is an epidemic of an infectious disease which has spread over large regions and has affected several individuals.
During a pandemic, there's an outbreak of diseases that can be transmitted from person-to-person contact. Therefore, it's important for people to be safe.
To address this issue, there should be an implementation of a 24-hour curfew for minors in the time of pandemics. This is vital to keep them safe.
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According to the table, what was the hiker’s average speed for the entire hike? 2. 0 km/h 5. 7 km/h 6. 7 km/h 10 km/h.
Answer:
6.7 km/h
Explanation:
A photographic stop bath contains 160ml of pure acetic acid.
Answer:
Solving for the Percent by Volume
The v/v concentration of acetic acid in the stop bath is 24.6%.
Explanation:
To answer the question, we need to identify certain information stated in the question. Let us write down what’s given:
Volume of solute = 160 mL
Volume of solution = 650 mL
Next, we need to determine what is required, in this case, the percent by volume. Now, let us look at the formula:
v/v concentration = (solute volume / volume of the solution) * 100
Solution:
Percent by Volume = (160 / 650) * 100
Percent by Volume = 0.2461538461538462 * 100
Percent by Volume = 24.61538461538462
Rounded off = 24.6%
Therefore, the final answer is 24.6%
Explanation:
Which of the following is a difference between phase i and phase ii of meiosis?(1 point).
AnswerHowever, Meiosis I begins with one diploid parent cell and ends with two haploid daughter cells, halving the number of chromosomes in each cell. Meiosis II starts with two haploid parent cells and ends with four haploid daughter cells, maintaining the number of chromosomes in each cell.:
Explanation:
According to the electron-cloud model of the atom an orbital is a.
Answer:
orbital is a axis where electron revolvs
Solve for x in the equation x^2-8x+41=0.
Write your own lyrics in english using the music/rhythm of your favorite song.
Do you ever wish your dreams could come true?
Dream of things that won't make you boo.
Dreams can come real,
just make sure you make them feel.
If it's a nightmare make sure you hide up the back stairs,
and if it's a good dream make sure you make it seen.
So I really wish dreams were real,
that way I could start to feel.
Explanation: Sorry it isn't that good I did the best I could. It's also rrrreeeealllllllyyyyy short sooo.......
You can have ice cream you finish your dinner.
Jonathon works for a u. S. Company that doesn't produce goods domestically, but instead buys them from other countries and resells them in the united states. Jonathon's company illustrates the concept of.
Companies are known to have different areas at which they trade. Jonathon's company illustrates the concept of importing.
Importing by a firm simply means that a company/firm often buys goods outside the country and then resells them domestically.
Importing is don by bringing products or services into a country with the aim to sale that have been produce in another country.
Some U.S. companies are often engage in buying of products overseas and shipping them into the U.S. for sale, or as part of a product that is being assembled in the U.S.
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What is the vertex form of the equation? y = – x 2 + 12 x – 4.
Answer:
(6,32)
Explanation:
Which statement is always true when describing sex-linked inheritance?.
Answer:
The alleles are found on the X or Y chromosome.
The heat required to change 1 gram of a solid at its normal melting point.
By definition, the heat required to change 1 gram of a solid at its normal melting point is called heat of fusion.
Latent heat is defined as the energy required by a quantity of substance to change state.
When this change consists of changing from a solid to a liquid phase, it is called heat of fusion and when the change occurs from a liquid to a gaseous state, it is called heat of vaporization.
Fusion is the process by which a solid becomes a liquid phase. In this case, the temperature remains constant throughout the time that the solid turns into a liquid.
This occurs because in the solid phase the molecules are held together forming a rigid crystalline structure, in such a way that the substance has a defined shape and volume. As heat is supplied, the energies of the solid's particles gradually increase. After a certain time, this energy becomes so great that some of the particles exceed the force that kept them in their fixed positions.
In this way, the greatest separation between the particles is associated with the liquid phase.
Thus, the energy absorbed by the substance is used to separate the molecules more than in the solid phase, so that the temperature does not increase during the change of state.
In summary, it is called "heat of fusion", the energy required to change 1 gram of substance from a solid state to a liquid state, without changing its temperature.
In others words, the heat required to change 1 gram of a solid at its normal melting point is called heat of fusion.
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