p varies directly with T and p = 400. When T = 500. Find the value of p when T = 600

Answers

Answer 1

Answer:

Step-by-step explanation:

When the temperature T is 500, the pressure p is 400. If we let "k" represent the constant of proportionality that relates p and T, then we can write the relationship between p and T as:

p = k * T

Substituting the known values of p and T into this equation, we get:

400 = k * 500

Solving for the constant of proportionality k, we find that:

k = 400/500 = 0.8

Now that we know the value of the constant of proportionality k, we can use it to find the value of p when T = 600. Substituting this value of T into the equation above and solving for p, we get:

p = 0.8 * 600 = 480

Therefore, when T = 600, the pressure p is 480.


Related Questions

How can you use the transformations to identify corresponding parts of congruent triangles?

Answers

To identify corresponding parts of congruent triangles, you can use the transformations of translation, rotation, and reflection.

Translation involves moving a figure a certain distance in a certain direction, and all parts of the figure move the same distance in the same direction. If you translate two congruent triangles, their corresponding parts will still be corresponding.

What does a triangle represent in mathematics?

The term "trigon" is occasionally (though not very frequently) used to refer to a triangle, a 3-sided polygon. Three sides and three angles, some of which may be the same, characterize every triangle.

What categories go under triangles?

The term "acute triangle" refers to a triangle with all three angles being smaller than. The term "obtuse triangle" refers to a triangle with any one angle greater than. The terms "right triangle" and "right-angled triangle" both refer to triangles with at least one angle of.

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Solve for <1

<1= [?]

Answers

Step-by-step explanation:

∠1 + 49° + 49° = 180°

∠1 = 180-98

∠1 = 82°

the figure shown is composed of a triangle within a trapazoid determin the area of the shaded region

Answers

The area of the shaded region of the figure composed of a trapezoid and triangle is 26.25 m².

How to find the area of a composite figure?

The figure shown is composed of a triangle within a trapezoid. The area of the shaded portion can be found as follows:

The area of the shaded portion is the subtraction of area of the triangle from the area of the trapezoid.

Hence,

area of the shaded portion = area of the trapezoid - area of the triangle

area of the trapezoid  = 1 / 2 (5 + 9)6

area of the trapezoid  = 1 / 2 (14)6

area of the trapezoid  = 42 m²

area of the triangle = 1 / 2 × 7 × 4.5

area of the triangle = 1 / 2 × 31.5

area of the triangle = 15.75 m²

Therefore,

area of the shaded portion = 42 - 15.75

area of the shaded portion = 26.25 m²

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Help me number 1 !!????

Answers

Answer:120

Step-by-step explanation:

1,440 divided by 12 equals 120 so 120 shelves are needed

Answer:

15 storage towers

Step-by-step explanation:

first you need to find out how many video games can fit into one storage tower.

8 times 12 is 96,meaning 96 per tower.

Then you would one to get the total number of video games and divide it by 96 to find out how many towers are needed.

If done correctly you will end up with 15.

Please solve:

ASAP

Urgent ​

Answers

We're given the equation,

[tex]\longrightarrow\sin\theta+\csc\theta+2=0[/tex]

Take [tex]\sin\theta=x,[/tex] then [tex]\csc\theta=\frac{1}{x}.[/tex] Then the equation becomes,

[tex]\longrightarrow x+\dfrac{1}{x}+2=0[/tex]

Multiply both sides by [tex]x,[/tex] assuming [tex]x\neq 0.[/tex] Then we get,

[tex]\longrightarrow x^2+2x+1=0[/tex]

[tex]\longrightarrow (x+1)^2=0[/tex]

[tex]\Longrightarrow x=-1[/tex]

We're asked to find the value of,

[tex]\longrightarrow y=\sin^{2019}\theta+\csc^{2020}\theta[/tex]

As we've taken [tex]\sin\theta=x,[/tex] this expression becomes,

[tex]\longrightarrow y=x^{2019}+\dfrac{1}{x^{2020}}[/tex]

Now putting [tex]x=-1,[/tex]

[tex]\longrightarrow y=(-1)^{2019}+\dfrac{1}{(-1)^{2020}}[/tex]

[tex]\longrightarrow y=-1+\dfrac{1}{1}[/tex]

[tex]\longrightarrow y=-1+1[/tex]

[tex]\longrightarrow\underline{\underline{y=0}}[/tex]

Hence 0 is the answer.

How many solutions does the equation y 0 and y =- 7 have?

Answers

The system of linear equations has no solution. Then the number of the solution of the equations will be zero.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equations are given below.

y = 0 and y = - 7

The lines are parallel to each other. Then they will never intersect with each other.

The system of linear equations has no solution. Then the number of the solution of the equations will be zero.

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F(x)=3x 2 +12x+5f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 12, x, plus, 5 what is the value of the discriminant of fff? how many distinct real number zeros does f(x)f(x)f, left parenthesis, x, right parenthesis have?.

Answers

The two distinct real number zeros of f(x) left parenthesis, x, right parenthesis are -2 + sqrt(7) and -2 - sqrt(7).

The discriminant of a polynomial is a quantity that determines the number of distinct real roots of a polynomial equation. For a polynomial of degree n, the discriminant is calculated as the square of the coefficient of the nth degree term multiplied by the product of the coefficients of the remaining terms, minus the square of the product of the coefficients of the lower degree terms. In the case of [tex]f(x)=3x^2+12x+5[/tex], the discriminant is given by[tex]D=12^2 - 4*3*5 = 144 - 60 = 84.[/tex]

Since the discriminant is greater than 0, it follows that the polynomial equation has two distinct real number zeros. To find the zeros of the equation, we must solve the equation by setting it equal to zero and factorising it. Doing so, we find that the zeros are given by [tex]x = (-12 +/- sqrt(84))/6 = -2 +/- sqrt(7)[/tex]. Hence, the two distinct real number zeros of f(x) are -2 + sqrt(7) and -2 - sqrt(7).

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Multiple choice math. The following triangles are-

Answers

Answer:

(a) similar

Step-by-step explanation:

20/10 = 1/2

8/4 =1/2

22/11 =1/2

The sides are proportional in the same ratio hence they are similar triangles

Answer:

a

Step-by-step explanation:

it is not D because if it was a replica it would be exactly the same. If it was a conjourent than it would be if all three corresponding sides are equal and all the three corresponding angles are equal in measure. so it leaves similar

What are the vertical asymptotes for the function f/x )= x 2 x 6 x 3 1?

Answers

The vertical asymptotes for the function f(x) = (x^2)(x-6)(x+3)^-1 are x=6 and x=-3.

The vertical asymptotes for the function f(x) = (x^2)(x-6)(x+3)^-1 are x=6 and x=-3. This is because the denominator can be factored into two linear expressions: x-6 and x+3. When either of these expressions equals 0, the fraction becomes undefined and a vertical asymptote is created. To find the asymptotes, set each linear expression in the denominator equal to 0 and solve for x. For x-6, x=6; for x+3, x=-3. Therefore, the vertical asymptotes of the function are x=6 and x=-3. When x is close to either of these values, the fraction will become very large, making the graph approach the vertical asymptotes without ever touching them.

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if g % h is cyclic, prove that g and h are cyclic. state the general case.

Answers

The general case when G₁⊕G₂⊕G₃...⊕Gₙ is cyclic generated by (g₁, g₂, g₃,...,gₙ) is that the subgroups G₁, G₂, G₃,...., Gₙ are cyclic generated by  g₁, g₂, g₃, ..., gₙ respectively.

G⊕H is cyclic

That is G⊕H = <(g, h)>

Let us choose an arbitrary element g₁ ∈ G, then as G⊕H is cyclic

(g₁, h₁) ∈ G⊕H = <( g, h)>

This means that there exists an integer x such that

(g₁, h₁) = (g, h)ˣ

(g₁, h₁) = (gˣ, hˣ)

that is g₁ = gˣ

implies g₁ ∈ <g>

that is G ⊆ <g> as g₁ is an arbitrary element belonging to G

But we know <g> ⊆ G

Hence G = <g>

Thus G is a cyclic group generated by g.

Similarly we can prove that H group is cyclic generated by h, that is H = <h>

So the general case is that G₁⊕G₂⊕G₃...⊕Gₙ is cyclic generated by (g₁, g₂, g₃,...,gₙ), then the subgroups G₁, G₂, G₃,...., Gₙ are cyclic generated by  g₁, g₂, g₃, ..., gₙ respectively.

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Why are the 2 answers in quadratic equation?

Answers

The quadratic equation, which is written in the form [tex]ax^{2} +bx+c=0[/tex] has two solutions because it is a second-order polynomial equation.

What is a quadratic equation?

Any equation of the form  [tex]ax^{2} + bx + c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by :

[tex]x=[/tex][tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

where a, b, and c are the coefficients of the quadratic equation, and [tex]\sqrt{b^{2}-4ac }[/tex] represents the square root function. The plus-minus symbol (±) indicates that there are two solutions, one for each value of the symbol. These two solutions represent the roots of the equation, which are the values of x that make the equation true.

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There are commonly two answers to quadratic equations because the answers are where the parabola crosses the x -axis.

Why are the 2 answers in quadratic equation?

Quadratic equations are equations in two variables whose graph is a U-shaped parabola that is symmetrical about a vertical line, called the axis of symmetry. The standard form of a quadratic equation is [tex]y = ax^2 + bx + c[/tex], where [tex]a,b[/tex] and [tex]c[/tex] are real numbers, and x and y represent all (x,y) pairs that satisfy the equation. The solution(s) to a quadratic equation is the point(s) where the parabola crosses the x-axis. A quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.

There are commonly two answers to quadratic equations because the answers are where the parabola crosses the x -axis.

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What is the arc length of the intercepted arc on the circle?

Answers

360° is all the way around a circle. The length of the intercepted arc is equal to the circumference of the circle.

Arc Length of a Circle:

Length. A practical way to determine the length of an arc in a circle is to plot two lines from the arc's endpoints to the center of the circle, measure the angle where the two lines meet the center, then solve for L by cross-multiplying the statement: measure of angle in degrees/360° = L/circumference.

Does arc length have to be in radians?

Arc length is a measurement of distance, so it cannot be in radians. The central angle, however, does not have to be in radians. It can be in any unit for angles you like, from degrees to arcsecs. Using radians, however, is much easier for calculations regarding arc length, as finding it is as easy as multiplying the angle by the radius.

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A ride at a carnival moves on a circular path with diameter 80ft. What is the approximate distance of one complete loop?

Answers

Answer:

80π feet

Step-by-step explanation:

The question is asking us for the circumference of a circle with diameter 80 ft.

The formula for the circumference of a circle is πd. Therefore, the circumference is π * 80 = 80π ft!

if this helps you, it would help me a lot if you could mark this as brainliest :)

Answer:

The circumference of a circle is equal to the diameter times pi, which is approximately 3.14. Therefore, the distance of one complete loop on a circular path with a diameter of 80 feet is approximately 80 * 3.14 = 251.2 feet.

Step-by-step explanation:

Solve the following inequality for c. Write your answer in simplest form.
c-8<10c+3

Answers

-11/9 < c is the simplest form of the given inequality

What is Linear Inequality?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Solution:

In this question all that we have to do is to seperate the variable terms and the constant terms

It is showwn in the solution below

c - 8 < 10c + 3

-8-3 < 10c - c

-11 < 9c

-11/9 < c

as you can see after seperating the terms we can surely make an inequality

Refer to the Graph Attached

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How do you know if its a discontinuity?

Answers

The conditions for the discontinuity is illustrated as follows.

The term discontinuity in math is defined as the functions f(x) that are not continuous at a point of its domain.

If the function fall under the discontinuity if it satisfies any one of the following condition,

if the limit values are not sameIf any one of the limit value is not definedIf there is no limit in the functionFunction is not properly definedif the denominator of the function will fall on the value of zero,

If the function will satisfies any one of these condition, then the function must discontinuous one.

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How do you find the length of a rectangular pyramid with the volume?

Answers

If the volume of a rectangular pyramid is known, we can determine the length of the pyramid if we get the base area or the base dimensions. Here the length of the pyramid is the height of the rectangular pyramid.

The volume of a right rectangular pyramid of base l×b and height h can be determined by the formula

V = l×b×h/3

Therefore we can obtain the length or height of the rectangular pyramid given the volume if we know other two dimensions or their product, that is the base area of the pyramid. In which case we can obtain the height be substituting.

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given 4^(x)=8, find value of 9^(x)

Answers

Answer:

The value of 9^(x) is 3.

Step-by-step explanation:

To find the value of 9^(x), we can use the equation:

(a^x) = (b^y)

Where a and b are different bases, and x and y are different exponents.

We can rewrite this equation as:

x = y * log(a) / log(b)

Plugging in the values given in the question, we get:

x = log(8) / log(4)

Solving for x, we get:

x = 3

Therefore, the value of 9^(x) is 3.

What is the solution of the system of equations 3x 6y 2 15x 30y 10?

Answers

The solution of the given system of equations 3x + 6y = 2 ,  15x -30y = 10 is equal to x = 2/3 and y = 0.

As given in the question,

Given system of equations are :

3x + 6y = 2      ____(1)

15x -30y = 10   _____(2)

Multiply equation (1) by 5 and add it to equation (2) to eliminate y and get the value of x we have,

15x + 30y = 10

15x - 30y = 10

30x      = 20

⇒x = 20 / 30

⇒ x = 2 / 3

Substitute value of x = 2/3 in equation (1) to get the value of y,

3(2/3) + 6y = 2

⇒ 2 + 6y = 2

⇒ 6y = 0

⇒ y = 0

Therefore, the solution of the given system of equations is equal to x = 2/3 and y =0.

The above question is incomplete, the complete question is:

What is the solution of the system of equations 3x + 6y = 2 ,  15x -30y = 10?

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How do I find a whole number?

Answers

Answer:

A whole number is a number without fractions or intergers

Step-by-step explanation:

An example of this wou;d be 0, 16, etc too find one you have to look at the qualities and see if it fits

What is I² in math?

Answers

In mathematics the expression of refers to or has a value equal to -1

We are going to define complex numbers, since "i" is a letter that denotes that it is an imaginary number.

What are Complex numbers?

Complex numbers are known as imaginary numbers and can be defined as an extension of the set of real numbers, since in its structure it has a real number followed by an imaginary number denoted with the letter "i".

The value of "i" starts from the square root of (-1)

√(-1) = i

Then if we want to know the value of i squared we do the following:

√(-1) = i

[√(-1)]² = i²

(-1) = i²

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What is the value of 402 1 2 according to binomial theorem?

Answers

The value of the given expression ( 402 ) ^ (1/2) using binomial theorem is equal to option a. 20.05.

As given in the question,

Given expression is equal to :

( 402 ) ^(1/2)

Standard form of binomial theorem is:

( a + b )ⁿ = ⁿC₀aⁿb⁰ +  ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+  ⁿCₙa⁰bⁿ

Rewrite the 402 = 400 + 2 and represent it in binomial theorem form:

( 400 + 2 ) ^(1/2)

Here take out 400 as common factor :

= (400)^(1/2) ( 1 + 2/400)^(1/2)

= 20 ( 1 + 1/200) ^(1/2)

Using one of the result of binomial theorem to get the approximate value if other values are extremely small.

( 1 + x )ⁿ = 1 + nx

Here n = 1/2 and x = 1/ 200

= 20 [ 1 + (1/2) (1/200)]

= 20 ( 1 + 1 /400)

= 20 ( 401/400)

= 401 / 20

= 20.05

Therefore, the value of (402)^(1/2) using binomial theorem is equal to option a. 20.05.

The above question is incomplete , the compete question is:

The value of (402)^(1/2) according to the binomial theorem is

a.  20.05        b. 20.01         c. 20.00          d.  20.2​

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What is the proportional relationship?

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think of them is that, in a proportional relationship, one variable is always a constant value for the other. That constant is known as the "constant of proportionality."

Step-by-step explanation:

Does anyone know how to calculate his question? Thanks!

Answers

Value of  [tex]1^{3} + 10^{3} + 11^{3} +12^{3} +......+30^{3}[/tex] is "216225".therefore the correct option is C.

Natural Numbers are the counting numbers that start from 1 and go on till infinity. To find the sum of cube of first n natural numbers means to add the cube of a specific number of natural numbers starting from 1 and get the answer.

There are a lot of patterns in mathematics. One analogous pattern of numbers is the sum of cube of n natural numbers.

Given:  Equation  = [tex]1^{3} + 10^{3} + 11^{3} +12^{3} +......+30^{3}[/tex]

            Here  N=30  , We have given

solution:

                                              [tex]S=\frac{{n^{2} (n+1)^{2}}}{4} \\=\frac{30^{2} (30+1)^{2}}{4}\\=\frac{900 (31)^{2}}{4}\\=\frac{900 (961)}{4}\\=\frac{864900}{4}\\=216225[/tex]

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What is the mean of first ten even natural numbers * 9 10 11 12?

Answers

The first ten even natural numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20. The mean of these numbers is the sum of the numbers divided by the number of numbers in the set. The sum of these numbers is 110 and there are 10 numbers in the set, so the mean is 11.

The mean of the numbers 9, 10, and 11 is 10. The mean of the numbers 12, 13, and 14 is 13. So the mean of the numbers 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18 is (10+13)/2 = 11.5.

The meaning of natural numbers in mathematics

Standard Numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 are the numbers we use to count or arrange things in numerical order. Detailed numbers the set of integers that includes zero and the natural numbers. neither a fraction nor a decimal.

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Answer the question for ixl pls

Answers

The value of p is 60°.

What is a Triangle?

A triangle is a polygon with three sides and three vertices.

Sum of all the angles of the triangle is 180°.

Given, the triangle ABC;

∠A = p +  49° + ∠CAB = 180°  

∠CAB = 180° - p - 49°

And the sum of all the angles of the triangle is 180°.

∠CAB + ∠CBA + ∠BCA = 180°

180° - p - 49° + p - 15° + p -16° = 180°

p = 60°

Therefore, Evaluation of p is 60°

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Finding an angle measure given a triangle and parallel lines

Answers

X=180+45+39
X=180-84
X=96

Can someone please explain how this is correct? I'm very confused

Answers

Answer: see below

Step-by-step explanation:

The table is based on the rule y=-2x+5

let's use the last numbers as an example. x=10 and y= -15

since we know the values of x and y, we can substitute them into the rule equation

-15=-2(10)+5, see how I replaced y with 15 and x with 10?

Now we solve and see if they match.

-15=-20+5

-15=-15

since they match, they are correct.

Basically, replace x in the rule with the x values in the table, and if the y value is the same as the y value in the table, it is correct.

What is the median of 2 3 4 5 6 7 8?

Answers

The median for the next batch of observations is 5.

What is median?

The median is the value in the middle of a data set, which indicates that 50% of the data points have a value less than or equal to the median, and 50% have a value greater than or equal to the median. The median is the number in the middle of a set of numbers. The median represents the 50th percentile of the set of numbers. In other words, the median is the value in the center of a set of numbers where half are less than the median and half are more than the median.

Here,

given set of observation,

=2,3,4,5,6,7,8

n=7

median=(7+1)/2

=4th term

=5

The median for following set of observation is 5.

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The sum of the ages of a father and his son is 40 years.If they both live on till the son becomes as old as the father is now the sum of their ages will be 96 years.Find their present ages.

Answers

The age of the son and father obtained after solving the equation will be equal to 6 years and 34 years.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Let the age of the father is f and the age of the son be s.

As per the given statement in the question,

The sum of the ages of a father and his son is 40 years.

f + s = 40   (i)    and,

f + s + 2(f -s) = 96    

3f - s = 96       (ii)

Add equations (i) and (ii)

4f = 136

f = 136/4

f = 34 years

Put f = 34 in equation (i)

f + s = 40

34 + s = 40

s = 40 - 34

s = 6 years.

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determine which integer set S: { -2, -3, -4, -5,} will make the inequality 3p - 10 > 7p + 6 true. will give brainliest

Answers

The integer set that makes the inequality 3p - 10 > 7p + 6 true is given as follows:

{- infinity, ..., -6, -5}.

How to solve the inequality?

The inequality in this problem is defined as follows:

3p - 10 > 7p + 6

To solve the inequality, we treat it similarly to an equality, isolating the variable of interest. The difference is that the solution is a set with infinity values, and not a single value.

Hence the solution of the inequality is obtained as follows:

3p - 10 > 7p + 6

-4p > 16

4p < -16 (multiplying by -1 due to the negative coefficient of x, the sign also changes)

p < -16/4

p < -4.

Hence the integer set of the solution of the inequality is given as follows:

{- infinity, ..., -6, -5}.

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PLEASE HELP QUICK!!How far will a plane travel in 6 hours if it travels at 70 miles per hour? twice a certain number x is less than 8. Find the range of values of the number how was the Bill of Rights contained in Texas Constitution different from the bill of the rights in the united states Constituition Kelly had an apple. She cut it in half, and then she cut it in half again.She ate three pieces of the apple. How many pieces did Kelly have left? Can any of you guys help A unicorn daycare center requires there to be 222 supervisors for every 181818 baby unicorns.Write an equation that shows the relationship between nnn, the number of supervisors, and uuu, the number of baby unicorns. 35 minus 3 multiply by 8 Does anyone know this answer?? In the set {(2,4),(5,6),(2,-3)} why is this relation not a function? Write an equivalent ratio for 1:2 Jessica purchased a home on January 1, 2018 for $580,000 by making a down payment of $230,000 and financing the remaining $350,000 with a 30-year loan, secured by the residence, at 6 percent. During 2018 and 2019, Jessica made interest-only payments on this loan of $21,000 (each year). On July 1, 2018, when her home was worth $580,000 Jessica borrowed an additional $145,000 secured by the home at an interest rate of 8 percent. During 2018, she made interest-only payments on the second loan in the amount of $5,800. During 2019, she made interest only on the second loan in the amount of $11,600. What is the maximum amount of the $32,600 interest expense Jessica paid during 2019 may she deduct as an itemized deduction if she used the proceeds of the second loan to finish the basement in her home and landscape her yard 1. Summarize Scout's criticisms of her father. What do her criticisms reveal about the values ofher community? How do most people in Maycomb County define "manliness"? Which equation describes the relationship between x and y in the table below?x y1 32 13 -14 -3 A. y = x + 2B. y = -2x + 5C.y = x - 4D. y = -3x + 6 To deliver a strong performance as an actor, you must develop the intention and purpose of the character you are playing. You must first super objective. How do you define a super objective? It refers to the overall objective of the movie or play. It refers to the overall objective of the character for the production. It refers to the objective of the character for a scene, It refers to the objective of the character in relation to the other characters in the scene. i will give you a brainlist PLEASE HELp find the value of each variable in the parallelogram Explain how characters differ in Shakespeare's comedies and histories Which sentence from the introduction[paragraphs 1-2) explains why butterfliesflutter?Butterflies flutter when they fly.BThis is thanks to their large wings.This fluttery flight helps them get awayquickly from predators.DNow scientists at Lund University inSweden know how they do it. Please help, I am so confused At which point on the roller coaster will the car have the greatest amount of Kinetic energy? The ___ function returns the year portion of the data/time available