On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent? the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius the amount of time it takes a temperature of 76.1 degrees Celsiu

Answers

Answer 1

Answer:

(A)the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

Step-by-step explanation:

Kareem plans to use the function [tex]C(F) = \dfrac59(F-32)[/tex] to convert temperature from degrees Fahrenheit to degrees Celsius.

The function gives a result in degrees Celsius. Therefore, 76.1 is in degree Fahrenheit and the result C(76.1) will be in degree Celsius.

Therefore, C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

The correct option is A.

Answer 2

Answer:

A

Step-by-step explanation:

I took the review on EDGE


Related Questions

15:PLEASE HELP Write 32 as a power of the base2

Answers

Answer:  2^5

The ^ symbol means exponent. We have 2 as the base and 5 as the exponent. You might write it like this [tex]2^5[/tex] though 2^5 is more common with computers and keyboards.

Using your calculator, you should find that 2^5 = 2*2*2*2*2 = 32. We have five copies of the base 2 multiplied together.

You can use logs to determine how to write 32 as a base 2. You would do so like this

log(32)/log(2) = 5

it doesn't matter which base log you use. This is through the change of base formula.

Helppp!!!! please!!!

Answers

Answer:

Step-by-step explanation:

Feel pleasure to help u..

Answer:

A. 1,885 cm³

Step-by-step explanation:

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

[tex]\pi 15^{2} \frac{8}{3}[/tex]

15²=225

[tex]\frac{8}{3} =2.67[/tex]

3.14 x 225 = 706.5

706.5 x 2.67 = 1884.96

Please. Can anyone help me.

Answers

Answer:

correct option is A: [tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

Step-by-step explanation:

If the segment DE was parallel to the segment BC, we could use the Thales' theorem, where the ratio of one segment created in one side of the triangle over the whole side is the same ratio of one segment created in the other side over the whole side:

[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]

Using the values given (AD = 4, AB = 6+4=10, AE = 6, AC = 8+6=14), we would have:

[tex]\frac{4}{10} = \frac{6}{14}[/tex]

[tex]4*14=6*10[/tex]

[tex]56=60[/tex]

This sentence is false, therefore the segments DE and BC are not parallel.

The inequation to prove this is the first one we used, using the "not equal" symbol:

[tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

So the correct option is: A

Make this into an expression s% of 1/r

Answers

Answer:

[tex] \frac{s}{100r} [/tex]

Step-by-step explanation:

s% of 1/r

=

[tex] \frac{s}{100} \times \frac{1}{r} [/tex]

[tex] \frac{s}{100r} [/tex]

PLEASE HELP! ! ! PLEASEEE!!

Answers

Answer:

4^2

Step-by-step explanation:

4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!

Answer:

the answer is

Step-by-step explanation:

4 to the power of 2

you add 4 and 3 which is 7

and 7 subtract 5 which is

4 to the power of 2

HELP PLEASE ASAP PLEASE HELP ASAP

Answers

Answer:

angle 3 and angle 4 are equal because the diagonals/2 are equal. Angle 4 equals angle 1 due to opposite interior angles thereom. 90 degrees minus 37=53 degrees which is angle 2. Since angle 2 is equal to the angle GKH, 53+53=106 and 180-106=74 degrees, and due to vertical angles, angle 7 is 74 degrees.

could someone please answer the questions in the photo​

Answers

Answer:

10. A dice has 6 sides each from 1-6, rolling each time can give 6 different possible results, hence the chances of rolling a 2, 3, and 5 will be 1/6 respectively.

To roll a 2, 3, and 5 in order, which are independent events,

the required probability will be

= 1/6 x 1/6 x 1/6

= 1/216

11. Using Pythagoras theorem,

8² + B² = 15²

B =√161

=12.689

13. Area of trapezoid= (upper base+ lower base)(height)/2

= (16+23)(3)/2

= 58.5 m²

Answer:

Answers:

Question #10:

Rolling a die three times gives 6 · 6 · 6 possibilities this makes 216 possibilities in total. Rolling the die in the order 2, 3, 5 is only one so the answer is: [tex]\frac{1}{16}[/tex].

Question #11:

Since the triangle is a right triangle we can use the pythagorean theorem:

[tex]B^{2}[/tex] + [tex]8^{2}[/tex] = [tex]15^{2}[/tex]

Working backwards we get that B is equal to 225 minus 64 which gets the square root of 161 or [tex]\sqrt{161}[/tex].

Question #12:

First we can start with finding the area of the rectangle in the trapezoid:

3 · 16 = 48

Next the two right triangles. 21 - 16 = 5 That is the length of the additional two triangles. Dividing 5 by two gets the base of one of them, but if we don't divide it by two we will be able to solve for both at the same time:

3 · 5 = 15

[tex]\frac{15}{2}[/tex] = 7.5

7.5 + 48 = 55.5

PLEASE HELP!!!

What is the third quartile for this data set?

Answers

Answer:

38

Step-by-step explanation:

Using the five number summary it is 38 since it is 75 percent of the sample

Answer:  D. 38

You have the correct answer. Nice work

==========================================================

Explanation:

If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.

That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.

Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.

The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)

Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.

Therefore, the third quartile is 38.

Aiden built a cone shaped volcano for a school science project. The volcano has a base diameter of 32 cm and a slant height of 45 cm

a) Whats the lateral area to the nearest tenth of a square?

b) the paint for the volcanos surface costs $1.99/jar, and one jar of paint covers 400cm^2. How much will the paint cost?

Answers

Answer:

a) About 2261.95

b) $11.94

Step-by-step explanation:

a) The lateral area of a cone can be calculated via A=πrl

b) Simple do 2261.95/400 and round to the nearest 1 to get 6.  Then multiply 6 by 1.99 to get 11.94

Hope it helps <3

Please just a quick question can, can you help me. The length of a rectangle is 8cm longer than its breadth, If the perimeter of the rectangle is 80 cm, find its length and breadth * choose one of the options 1.length = 16cm and breadth = 64cm 2.length = 16cm and breadth = 22cm 3.length = 24cm and breadth = 64cm 4.length = 24cm and breadth = 16cm

Answers

Answer:

Let's call the width x and the length x + 8. Perimeter can be calculated by multiplying the sum of the length and width by 2 so we can write:

2(x + x + 8) = 80

2(2x + 8) = 80

2x + 8 = 40

2x = 32

x = 16

This means that the length is 16 cm and the width is 24 cm.

Answer:

the area of rectangle is 384 sq cm, while the length of the rectangle is 24 cm and width of rectangle is 16 cm

Step-by-step explanation:

Let the breadth of the rectangle is x cm  

Thus the length of the rectangle = (x + 8) cm

We know Perimeter = 2 (length + width)

Perimeter = 2 (x + 8 + x)

Perimeter = 2 (2x + 8)

Perimeter = 4x + 16 cm

4x + 16 = 80 cm

4x = 80 - 16

4x = 64

x = 64/4 cm

x = 16 cm

Thus the width of the rectangle is 16 cm

Length of the rectangle x + 8 = 16 + 8 = 24 cm

We know Area of rectangle = length × breadth

Area of rectangle = 24 × 16 = 384 sq cm

Please I need help with this question

Answers

Answer:

Step-by-step explanation:

2/3(6y + 9)

2/3(6y) = 4y

2/3(9) = 6

=4y + 6 (A)

Please help me get the right answer

Answers

Answer:

A

Step-by-step explanation:

When multiplying numbers with exponents, the exponents add together.  This means that the correct answer is letter A.

Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? Show your work SHOW UR WORK ?!?! whats the work PLS help

Answers

37+42=79
7/100=0.07
79 x .07=5.53
79+5.53=
84.53

A coin- operated machine sells plastic rings. It contains 6 yellow rings, 11 blue rings, and 3 black rings. Sara puts a coin in the machine. Find the theoretical probability she gets a black ring. Express your answer as a decimal. If necessary, round your answer to the nearest tenth

Answers

Answer:

P(black) = 0.2

Step-by-step explanation:

Total number of rings

= 6 yellow + 11 blue + 3 black

= 20 rings.

P(black) = #black/#all = 3/20 = 0.15

Most people would round 0.15 to the nearest tenth as 0.2

It is not desirable in this cas to round to the tenth due to the 33% round-off error, but, what can you do.

Find all real zeros of the function Y = -9x-1

Answers

Answer:

x=-1/9; -1/9; (-1/9,0)

(each one is a different way to write the answer)a

Step-by-step explanation:

Zeros of a function are when the y-value of a point on a graph is equal to 0. Plugging in 0 for y in this equation of the function we get 0=-9x-1, which we can solve by adding 9x to both sides of the equation to get 0+9x=-9x+9x-1, or 9x=-1, and divide both sides by 9 to get x=-1/9

Find the area of the shape shown below.

Answers

Answer:

12 [tex]units^{2}[/tex]

Step-by-step explanation:

First Figure: 1/2*2*2 = 2

Second Figure: 2*2 = 4

Third Figure: 1/2*6*2 = 6

2+4+6 = 12

So the area is 12 [tex]units^{2}[/tex]

Subtract (4x^2+6) - (2x-5) thanks for the help btw :)

Answers

Answer:

C

Step-by-step explanation:

The only like terms are 6 and -5. 6 - (-5) = 11 so the answer is 4x² - 2x + 11.

Answer:

C. 4x² -2x + 11

Step-by-step explanation:

(4x² + 6) - (2x - 5)

→ Remember the minus outside the (2x - 5) means the minus inside changes to a plus

(4x² + 6) - (2x + 5)

→ Remove the brackets

4x² + 6 - 2x + 5

→ Add the whole numbers together

4x² + 11 - 2x which is equivalent to the option c 4x² -2x + 11

Complete the table of values below: x -3 -2 -1 0 1 2 3 How the graph relates to y=2x y=2x Answer Answer Answer Answer Answer Answer Answer Not applicable y=-2x Answer Answer Answer Answer Answer Answer Answer multiplied by Answer y=(3)(2x)

Answers

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a [tex]y = 2^x[/tex]

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. [tex]y = -2^x[/tex]

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. [tex]y = (3)(2^x)[/tex]

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

a y = 2^x

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. y = -2^x

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. y = (3)(2^x)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Step-by-step explanation:

Maria claims that any fraction between 1/5 and 1/7 on a number line must have a denominator that is 6.Enter a fraction that shows Maria's claim is incorrect A. 6/35 B.13/70 C. 9/35 D.16/70 please help me

Answers

Answer

A or B

Step-by-step explanation:

the lowest is 1/7 = 5/35 = 10/70

the highest is 1/5 = 7/35 = 14/70

so answer A and B are OK

C and D are out of range

Please help with this❤️❤️Please plz

Answers

Answer:

Step-by-step explanation:

the first answer is D

the second is B

5. Find the vertex and length of the latus rectum for the parabola.

Answers

Answer: (2,5)

Step-by-step explanation:

To find the x coordinate of the vertex, you will set  x-2=0 and solve for x

x-2=0

 +2  +2

x = 2  

Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.

y= 1/2(2-2)^2 + 5

y = 0 +5

y =5

(2,5)

will give brainliest 1. What is the formula for experimental probability? 2. What is a trial?

Answers

Answer:

1) Formula for experimental probability:

Experimental Probability = [tex]\frac{No.OfFavourableOutcomes}{No.OfPossibleOutcomes}[/tex]

2) Any performance or a random experiment is called a trial.

Combine like terms: ab-a2+42-5ab+3a2+10

Answers

Answer:

   -4AB+2A2+52

Step-by-step explanation:

1. FIRST WE PUT THE LIKE TERMS TOGETHER (REARRANGE THE PROBLEM)

AB-5AB-A2+3A2+42+10

2. SIMPLIFY ALL LIKE TERMS

-4AB+2A2+52

YOUR DONE!!!!!!

HOPE I HELPED

CAN I GET BRAINLIEST PLS? (DESPERATELY TRYING TO LEVEL UP)

         -ZYLYNN JADE

Can u guys PLEASE answer this question ASAP find the values of m and n where m>0 (m+√n)² = 14+6√5

Answers

Answer:

m=3, n=5

Step-by-step explanation:

(3+√5)² = (3+√5)(3+√5) =

3² + 3√5 + 3√5 + √5·√5 = 9 + 6√5 + 5 = 14+6√5

Possible values for the area A of the rectangle shown are 12 ≤ A ≤ 36. Write and solve a compound inequality to find the possible values of x. Are these values all viable in this situation?I really need help

Answers

Answer:

x can take any value and are viable in this situation if and only if it is a positive number

Step-by-step explanation:

We know that the area of a rectangle is given by:

A = x * y

So if we replace we have:

12 ≤ x * y ≤ 36

We divide by y, and we have:

12 / y ≤ x ≤ 36 / y

Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:

 12 ≤ x ≤ 36

In the event that y is equal to 2:

 12/2 ≤ x ≤ 36/2

 6 ≤ x ≤ 18

Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.

The image of the function is missing, you can see it at the end of the answer.

For a rectangle of length L and width W, the area is given by:

A = L*W

We will find that the solution is: 3/2 ≤ x ≤ 11/2

Here we have:

L = 3

W = 2x + 1

Then the area equation is:

A = 3*(2x + 1) = 6x + 3

And we also have the inequality:

12 ≤ A ≤ 36

Replacing A with the equation we get:

12 ≤ 6x + 3 ≤ 36

Now we solve this for x:

12 - 3 ≤ 6x ≤ 36 - 3

9  ≤ 6x  ≤ 33

Now we divide both sides by 6.

9/6 ≤ x ≤ 33/6

3/2 ≤ x ≤ 11/2

If you want to learn more, you can read:

https://brainly.com/question/1468729

Complete the statement about this table.
The A:B ratio in the table that is not equivalent to the
others is
20:27
10:14
15:21
25:35​

Answers

I believe that the answer is the first one

Answer:

20:27

Step-by-step explanation:

On a piece of paper, graph this system of equations.
y = x - 10
y = x2 - 2x - 3
Then determine which answer choice matches the graph you drew and
identify the solution(s) to the system.

Answers

Answer:

No solution

Step-by-step explanation:

If you graph this system of equations, they do not intersect in any way and therefore there is no solution.

I need this ASAP! When David was asked how old he was, he said: "I'm three times younger than my dad, but twice as old as Rebecca." Then little Rebecca ran up to him and declared "I am 30 years younger than my dad." How old is David?

Answers

Answer:

David is 12 years old.

Step-by-step explanation:

Let r = Rebecca's age

Let d = David's age

let p = Dad's age

David is 3 times as younger than his dad:

d = [tex]\frac{p}{3}[/tex]

David is 2 times older than Rebecca:

d = 2r

Rebecca is 30 years younger than the dad:

r = p-30

All three equations can be solved by a system

2r = [tex]\frac{p}{3}[/tex]

r = p-30

multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]

0 = (-2p + p/3) + 60

multiplying new equation by 3

0 = (-6p + p) + 180

5p = 180

p = 36

d = 36/3 = 12

What is the area of the square adjacent to the third side of the triangle?

Answers

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = [tex]\sqrt{33}[/tex] .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = [tex]\sqrt{44}[/tex] .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.

Let x = the length of the side of the unknown square's area -

[tex]\sqrt{(44)}^2[/tex] = [tex]x^2[/tex] + [tex]\sqrt{33}^2[/tex],

x = [tex]\sqrt{11}[/tex] ... And [tex]\sqrt{11}[/tex] squared is 11, making the area of this square 11 units².

Answer:

           11 units²

Step-by-step explanation:

If the triangle is right then area of square adjacent to the longest side is equal to sum of areas of squares adjacent to its other sides. (As in Pythagorean theorem)

So:

    33 units² + ? =  44 units²

     ? =  44 units² - 33 units²

     ? = 11 units²

Determine the measure of the interior angle at vertex D.

Answers

Answer:

162°

Step-by-step explanation:

This is a hexagon, so the sum of the angle measures will be 720°

Add up the measures

40x=720

Divide

X=18

Multiply by 9 to find angle of D

9*18=162

The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.

What are polygons?

Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.

What is the sum of all interior angles of a polygon?

The sum of interior angles of an n side polygon = (n-2)180°.

How do we solve the given question?

We are given a 6 side polygon ABCDEF.

∴ n = 2.

The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.

The angles are 2x, 9x, 2x, 9x, 9x, and 9x.

Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.

This sum = The obtained sum

or, 40x = 720°

or, x = 720°/40 = 18°.

Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.

Learn more about Polygons at

https://brainly.com/question/1592456

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On Oct. 14, Sheffield Company discounted at Sunshine Bank a $9,000 (maturity value), 113-day note dated July 13. Sunshines discount rate was 11%.Required:What proceeds did Sheffield Company receive? Which function of the cell cycle is especially important to burn victims?growth of existing cellsrepair of existing cellsprotection of new cellsreproduction of new cellsPreviouslySave and Exit Which key document established USNORTHCOM as the combatant command assigned to defend the United States Jina wants to measure the width of a river. She marks off two right triangles, as shown in the figure. The base of the larger triangle has a length of 56m, and the base of the smaller triangle has a length of 26m. The height of the smaller triangle is 20.9m. How wide is the river? Round your answer to the nearest meter. Life can be very stressful. People often balance work, school, social, and family responsibilities. Explain how planning ahead can make juggling a busy schedule a little easier. What sort of planning tools are available? Yo I need a poem related nature or life that like a dumb girl who can't make poems. Y'all can write about flowers and stuff and not too much deep meanings. yea? Make sure it's not too dumb like there should be a good meaning. (PS. I need this ASAP) Part I: Find the slope of the line that passes through the following points. (6 points; 2 points each) A (10, 4) and B (2, 5) C (7, 1) and D (7, 8) E and F Part II: Robert says that the slope of a line passing through (1, 7) and (3, 9) is equal to the ratio . Is this a correct method for calculating the slope? Explain your answer. (1 point) Part III: Do the points in the following set lie on the same line? Explain your answer. Show all work. (4 points) A (1, 3) B (4, 2) C (2, 4) Steel is formed by Group of answer choices oxidizing some of the iron to iron oxides. combining iron, carbon and transition metals such as chromium and nickel. heating iron at high temperature for a long time. adding sand and heating to a high temperature. For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Rounding to six significant digits, write an exponential equation representing this situation. To the nearest minute, how long did it take the population to double a ski resort has 3 pricing options on his 20 $ for a ski lesson, or 60 $ for a lift pass, or 70 $ for both lift and lesson. 50 people bought exactly one of the options, and if 42 lift tickets were sold and 23 lessons, what is the mean/average amount they paid in dollars and cents am giving all my points need answer now Help me fill in the blanks With which statement about metaphysics would Heraclitus have been most likely to agree? Read the excerpts from Ovid's "Pyramus and Thisbe" and Shakespeare's Romeo and Juliet. "Pyramus and Thisbe" They owed their first encounters to their living close beside each otherbut with time, love grows. Theirs didindeed they wanted to be wed, but marriage was forbidden by their parents; yet there's one thing that parents can't prevent: the flame of love that burned in both of them. Romeo and Juliet Two households, both alike in dignity, In fair Verona, where we lay our scene, From ancient grudge break to new mutiny, Where civil blood makes civil hands unclean. From forth the fatal loins of these two foes A pair of star-cross'd lovers take their life; Whose misadventured piteous overthrows Do with their death bury their parents' strife. What statement best describes the relationship between these works? Use the Laplace transform to solve the given initial-value problem. y' + 3y = f(t), y(0) = 0where f(t) = t, 0 t < 1 0, t 1 Name one of the nitrogen compounds produced in the process the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3 how to do this question plz The dimensions of a closed rectangular box are measured as 96 cm, 58 cm, and 48 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box. Which explanation provides support for continental drift theory?O Dinosaurs lived on many continents.Coal fields match up across continents.Tropical plant fossils were found in warm areas.Similar rock types are found across continents. Current and Quick Ratios The Nelson Company has $1,250,000 in current assets and $500,000 in current liabilities. Its initial inventory level is $335,000, and it will raise funds as additional notes payable and use them to increase inventory. How much can Nelson's short-term debt (notes payable) increase without pushing its current ratio below 2.2? Do not round intermediate calculations. Round your answer to the nearest dollar.