any one who is still up i need help pls

Any One Who Is Still Up I Need Help Pls

Answers

Answer 1

Answer:

m = 5

Step-by-step explanation:

\( \frac{10}{m - 5} = \frac{8}{m - 5} \\ \\ 10(m - 5) = 8(m - 5) \\ \\ 10m - 50 = 8m - 40 \\ \\ 10m - 8m = 50 - 40 \\ \\ 2m = 10 \\ \\ m = \frac{10}{2} \\ \\ m = 5\)

Answer 2

Answer:

m = 5

Step-by-step explanation:

Cross product to get: 10(m-5) = 8(m-5)

Solve for m:

10m-50 = 8m-40

10m - 8m = -40 + 50

2m = 10

m = 10/2

m = 5


Related Questions

Kiran sells full boxes and half-boxes of fruit to raise money for a band trip. he earns $5 for each full box and $2 for each half-box of fruit he sells and earns a total of $100 toward the cost of his band trip. the equation describes this relationship.

Answers

The equation that describes the relationship of full boxes and half-boxes of fruit is x = (100 - 2y) / 5

To create an equation that represents this relationship, we first need to define our variables. Let's let x be the number of full boxes Kiran sells, and y be the number of half-boxes he sells.

Since Kiran earns $5 for each full box and $2 for each half-box, we can express his total earnings in terms of x and y as follows:

Total earnings = (number of full boxes sold x $5) + (number of half-boxes sold x $2)

Substituting x and y into this equation, we get:

Total earnings = 5x + 2y

Since we know that Kiran earned $100, we can set this equation equal to 100 and solve for either x or y. Let's solve for x:

5x + 2y = 100

Solving for x, we get:

x = (100 - 2y) / 5

This equation tells us that the number of full boxes Kiran sells is equal to 100 minus 2 times the number of half-boxes he sells, divided by 5.

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29 of the firt 42 preident of the United State were lawyer what percentage of thee preident were lawyer

Answers

To find the percentages of U.S. presidents who were lawyers, we can divide the number of presidents by the total number of presidents and then multiply by 100 to get the answer as a percentage.

Given the information, we have:

Number of presidents who were lawyers = 29

Total number of presidents = 42

So, the percentages of presidents who were lawyers is:

(29 / 42) * 100 = 69%

Therefore, 69% of the first 42 U.S. presidents were lawyers.

A percentage is a number or ratio expressed as a fraction of 100. It represents a portion of a whole and is often used to describe parts of a larger quantity in terms of 100. For example, if a student scored 80 out of 100 on a test, their score can be expressed as 80%, which means they answered 80 out of 100 questions correctly. The symbol for percentage is "%". To convert a fraction or decimal to a percentage, it is multiplied by 100.

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PLEASE HELP 100 POINTS BRAINLIEST

PLEASE HELP 100 POINTS BRAINLIEST

Answers

Answer:

1044cm²

Step-by-step explanation:

first split the polygon into two shapes

46-21=25

so the length of a shape is 25

so 30x25=750

then 21*14=294

then 750+294=1044cm²

Answer:

1044 cm²

Step-by-step explanation:

Subdivide the polygon into two rectangles by drawing a vertical line from the interior vertex of the L-shape.

Area of a rectangle = width x length

⇒ area of largest rectangle (left) = (46 - 21) x 30 = 750 cm²

⇒ area of smallest rectangle (right) = 14 x 21 = 294 cm²

Total area of shape = 750 + 294 = 1044 cm²

Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)

Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection,

Answers

Solution:

Given the function;

\(y=\frac{x^2}{x^2+48}\)

The graph of the function is;

The x-intercept is;

\((0,0)\)

The y-intercept is;

\((0,0)\)

The relative minimum is;

\((0,0)\)

The relative maximum does not exist. Thus;

\(DNE=\)

The points of inflection are;

\(\begin{gathered} (-4,\frac{1}{4})\ldots\ldots..\ldots.smaller\text{ x-value} \\ (4,\frac{1}{4})\ldots.\ldots\ldots\ldots\text{.larger x-value} \end{gathered}\)

Lastly, it has no vertical asymptote. The equation of the asymptote is;

\(y=1\)

Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection,

Salary paid ra10,000 and still due rs2000 ​

Answers

Answer:

20bdnxjxkdjdnddwwuwuwjwjjw

Salary paid ra10,000 and still due rs2000

Which types of triangles can always be used as a counterexample to the statement "all angles in a triangle are acute"? Select all that apply.
obtuse
scalene
right
isosceles
acute
equilateral

Answers

The types of triangles which can be used as a counterexample to the statement " all angles in a triangle are acute " are:

Obtuse

Right

How to find the counter example?

Counter example in math's is defined as an attempt at showing that a mathematical statement is false.

Now, in this case we want to find the counter example that all angles in a triangle are acute angles.

Now, an acute angle is defined as an angle that is less than 90 degrees.

Now, A right angle fits the counter example statement because at least one angle is not less than 90 degrees.

Similarly, an Isosceles triangle does not fit the counter example argument because in an isosceles triangle, two angles are equal and it is possible for three of the angles to be less than 90 degrees.

An obtuse triangle means that one of the angles are greater than 90 degrees and as such this fits our counter example.

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A manager at a theater needs to order 267 new seats if the seats are sold only in groups of 10 what is the least number of seats that the manager should order

Answers

The least number of seats the manger could order to 270 seats

How to find the least number of seats the manger could order

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
Stock: Price:
A $9.50
B $27.00

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total

Answers

Taking into account the definition of a system of linear equations, Finally, the investor owns 80 and 120 shares of Stock A and B respectively.

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

A solution to a system is an assignment of values to the unknowns that makes each of the equations true. Solving a system means finding all the solutions of the system.

Amount of shares of each stock

In this case, a system of linear equations must be proposed taking into account that:

"A" is the amount of shares of Stock A."B" is the amount of shares of Stock B.

You know:

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000.The price of Stock A is $9.50The price of Stock B is $27.00

The system of equations to be solved is:

A + B= 200

9.50A +27B= 4000

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "A" from the first equation you get:

A= 200 - B

Substituting the expression in the second equation:

9.50× (200 - B) +27B= 4000

Solving:

9.50×200 - 9.50B +27B= 4000

1900 - 9.50B +27B= 4000

- 9.50B +27B= 4000 - 1900

17.5B= 2100

B= 2100÷ 17.5

B= 120

Substituting this value in the expression A=200 - B you get:

A= 200 - 120

A= 80

Finally, the investor owns 80 shares of Stock A and 120 shares of Stock B.

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m=-2/3b=-4 Write in slope intercept form, solve, graph

Answers

The equation for a slope of -2/3 and an intercept of -4 is 2x+3y+12=0.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

y=mx+b

m=-2/3

b=-4

y=-2/3x+(-4)

y=-2x/3-4

3y=-2x-12

2x+3y+12=0

The equation for slope given as -2/3 and intercept as -4 is 2x+3y+12=0.

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0.0016 in index form

Answers

The answer is 62 in index form

the sum of a five-term arithmetic sequence is 100. if all terms are positive integers, what is the smallest possible value for a term?

Answers

The smallest possible value for a term in the five-term arithmetic sequence is 1.The sum of a five-term arithmetic sequence is given as 100 and all terms are positive integers. Let's call the first term "a" and the common difference "d".

The five terms can be represented as a, a + d, a + 2d, a + 3d, and a + 4d. The sum of these five terms is 100, which can be represented as:

a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) = 100

Simplifying the expression, we get:

5a + 10d = 100

Dividing both sides by 5, we get:

a + 2d = 20

Since all terms are positive integers, it follows that "a" and "d" must also be positive integers. The smallest possible value for "a" is 1, and the smallest possible value for "d" is 1. Substituting these values into the expression for "a + 2d" yields:

1 + 2 * 1 = 3

Thus, the smallest possible value for a term in the five-term arithmetic sequence is 1.

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a box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each corner and bending up the sides. what is the maximum volume this box could have? (round your answer to two decimal places.)

Answers

The maximum volume of the box is 54 cm³ .

To obtain the largest volume feasible, multiply each measurement by the largest possible error. To find the least volume that may be created, multiply after subtracting the biggest possible error from each measurement.

Given :

a box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm

cutting out squares of length x by x from each corner and bending up the sides

⇒ (50-2x)(10-2x)(x)

⇒ 500-100x-20x+4x^2) (x)

⇒ 4x^3-120x^2+500x

⇒ dv/dx     12x^2-240x+500=0

⇒ 3x^2-60x+125=0

⇒ Quadratic formula x=[60 ± √2100]/6

⇒ x= 2.36 or 17.64

volume max: 45.28 x 5.28 x 2.36= 564 cm^3

Hence The maximum volume of the box is 54 cm³

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PLEASE HURRY!! Which of the following statements are true regarding the graph of this linear function? Select all that apply.

PLEASE HURRY!! Which of the following statements are true regarding the graph of this linear function?

Answers

The slope of the line, 9.75, is the amount of money she makes per hour of work. The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.

The definition of amount?

Extent, volume, and supply are all nouns. the sum of two or more amounts; the complete worth, impact, or importance of anything.

What is an example of a number?

A number is a mass or accumulation, especially of something impossible to count: amount of The appropriate quantity of sand wasn't delivered. Animals were kept on a small amount of land. He donated money on a regular basis to a charity.

We know that slope =

\($m=\frac{y_2-y_1}{x_2-x_1}\)

Here, slope m is

\($m=\frac{53 -14}{8 -4 }\)

\($m=\frac{39}{4 }\)

m = 9.75

And putting the value in y-intercept form we have

y = 9.75x – 25

Therefore, The slope of the line, 9.75, is the amount of money she makes per hour of work. The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.

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help me :’(b bjkknjhhh

help me :(b bjkknjhhh

Answers

Answer:

Read below

Step-by-step explanation:

For the first row, the inequality is x ≤ -5.

For the second row, the inequality is x < -5.

For the last row, the inequality matching the graph is x ≥ -5.

A trick to remember the sign is if the point on the graph is empty, then the sign would be either < or >, and if it's filled, it would be ≤ or ≥.

Also, x is less is on the left (negative) and x is more is on the right (positive).

HELP ME !!! Find the perimeter of the polygon​

HELP ME !!! Find the perimeter of the polygon

Answers

Answer:

50 units

Step-by-step explanation:

this is a walk around problem

the sides of the triangles are 19, 13, and 18

perimeter = 19 + 13 + 18

p = 50 units

A computer game was originally priced at $59.99. It was marked down 15%. What was the final price of the computer game?

Answers

Answer: $50.99

Step-by-step explanation:

Given

The computer game is Priced at \(\$59.99\)

It is marked down by \(15\%\)

Final price is

\(\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99\)

Write tan 41π/36 in terms of the tangent of a positive acute angle.

Answers

tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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Can u guys solve all this

Can u guys solve all this

Answers

Answer:

1) y = - 5/3x

2) y = - 4/3x

3) slope = - 1/17

4) slope = 6

6) y = -x - 1

7) y = -3/5x - 1/5

8) y = -x - 7

Step-by-step explanation:

5x + 3y = 0

3y = 0 - 5x

y = 0/3 - 5/3x or…

y = - 5/3x
- - - - - - - - - - - - - - - - -
4x + 3y = 0

3y = 0 - 4x

y = 0/3 - 4/3x or…

y = - 4/3x
- - - - - - - - - - - - - - - - -
(4, -9) , (-13, -8)

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

m = (-8 - -9)/(-13 - 4)

m = 1/-17 or…

m = - 1/17
- - - - - - - - - - - - - - - - -
(8, 12) , (5, -6)

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

m = (-6 - 12)/(5 - 8)

m = -18/-3

m = 18/3 or…

m = 6
- - - - - - - - - - - - - - - - -
6)

y = -x - 1

- - - - - - - - - - - - - - - - -
through (3, -2), parallel
to y = -3/5x

y = -3/5x + b

-2 = -3/5(3) + b

-2 = -9/5 + b

b = -2 - -9/5

b = - 1/5

The line would be y = -3/5x - 1/5
- - - - - - - - - - - - - - - - -
y = -x

(-5, -2)

-2 = 5 + b

b = -2 - 5

b = -7

The line would be y = -x - 7

Often, conditional probabilities are worded with what​ phrase?

​"dependent"

​"given that"

​"either/or"

​"mutually exclusive"

Answers

The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

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At the grocery store, 6 pints of ice cream cost $15.66. How much would 30 pints of ice cream cost?

Answers

It would cost you $78.30
30/6 = 5
15.66 * 5 = 78.3
The answer is 78.3$

Picture attached, help please!

Picture attached, help please!

Answers

Using the sine ratios, the exact values of the sides of the right triangles are:

a = 10

b = 3/√2

How to Find the Sides of a Right Triangle using the Trigonometric Ratios?

To find the exact value of a, apply the sine ratio:

sin ∅ = length of the opposite side / length of the hypotenuse

Given the following in the right triangle:

Reference angle (∅) = 30° (sine 30 degrees = 0.5 or 1/2)

Length of the opposite side to the reference angle = 5

Length of the hypotenuse = a

Plug in the values into the sine ratio:

sin 30 = 5/a

a * sin 30 = 5

a = 5 / sin 30

a = 5 / 1/2

a = 5 * 2/1

a = 10

To find the exact value of b, apply the sine ratio:

sin ∅ = length of the opposite side / length of the hypotenuse

Given the following in the right triangle:

Reference angle (∅) = 45° (sine 45 degrees = 1/√2)

Length of the opposite side to the reference angle = b

Length of the hypotenuse = 3

Plug in the values into the sine ratio:

sin 45 = b/3

3 * sin 45 = b

3 * 1/√2 = b

b = 3/√2

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Alex made 3/5 of a batch of cookies in 3/10 of an hour. How much time will it take him to make 1 full batch of cookies?

Answers

Answer:

\(\frac{1}{2}\)h

Step-by-step explanation:

Let the total batch of cookies be x.

\(\frac{3}{5}\)x = \(\frac{3}{10}\)h

\(\frac{5}{5}\)x = \(\frac{5}{3}\) × \(\frac{3}{10}\)h

x = \(\frac{15}{30}\)h

x = \(\frac{1}{2}\)h

PLZ HELP ME!!!
::::::::::::::::::::::::::::::

PLZ HELP ME!!!::::::::::::::::::::::::::::::

Answers

Answer:

-2

Step-by-step explanation:

-3 -1 / 7-5 = -4/2 = -2

4 is 7/10

hope this helps

ANSWER = Negative TWO

what is the last digit of 3 with a power of 2011

Answers

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Please help If you know the answer!!

Please help If you know the answer!!

Answers

Answer:

-3 +8a

Step-by-step explanation:

(3-8a) *(-1)

Distribute

3*-1  -8a*-1

-3 +8a

What is the slope of the line?
y-3=5(x+2)

Answers

Answer:

Use the slope-intercept form  y = m

x + b  to find the slope  m .

m = 5

Step-by-step explanation:

Answer:

Slope is 5

Step-by-step explanation:

A circle has a diameter of 7 inches and a circumference of approximately 22 inches. Based on this circle, which ratio is equivalent to the value of π?

F) 22/7
G) 7/22
H) 22/3. 5
J) 3. 5/22​

Answers

Answer:  F). 22/7

Step-by-step explanation:

C = d\(\pi\)

22 = 7\(\pi\)

22/7 = \(\pi\)

Which expression is equivalent to Cube root of 343 x Superscript 9 Baseline y Superscript 12 Baseline z Superscript 6?

7x3y4z2
7x3y6z2
49x3y6z2
49x3y4z2

Answers

The value of the cube root \(343x^9y^{12}z^6\) is \(7x^3y^4z^2\)

A number's cube root is a quantity that when multiplied by itself three or more times, returns the original quantity. The cube root of 27, represented as 327, for instance, is 3 because 3 x 3 x 3 = 27 = 33 when we multiply 3 by itself three times. As a result, we can state that the cube root yields a value that is essentially cubed. Thus, 27 is referred to as the ideal cube. We may deduce what the cube's root is from the word "cube root." It denotes the integer that brought about the cube under the root.

The cube root 0f  \(343x^9y^{12}z^6\)

\(\sqrt[3]{343x^9y^{12}z^6} \\\sqrt[3]{(7x^3y^4z^2)^3} \\\\\\7x^3y^4z^2\)

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help me on this to I'm begging u I'm so sorry I'm up so late but the school I'm in is wack ​

help me on this to I'm begging u I'm so sorry I'm up so late but the school I'm in is wack

Answers

Answer:

Answer below

Step-by-step explanation:

1. C 2

2. The temperature from 15°F to -6°F has changed by 21°F

5. C $37

I hope this helps

What is the approximate area of the circle shown below

What is the approximate area of the circle shown below

Answers

Omg I need the same thing can someone help ??

Answer:

154

Step-by-step explanation:

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what is this answer Given the following information for ABC Ltd. Assume the effective tax rate=30%Debt:2000 commercial bills, $5,000 face value, 90 days to maturity, a current interest rate (yield), selling for $4,903.4000 zero coupon bonds an YTM of 9.84%, $10,000 face value, 10 years to maturityCommon stock:600,000 shares outstanding, selling for $55 per share; the beta is 1.05.Market:6% market risk premium and 4% risk-free rate.You are required to compute the WACC complete the lewis structure for this species: co2 enter the total number of valence electrons in the box.valence electrons: Suppose parametric equations for the line segment between (8,-2) and (9,-2) have the form:{x(t)=a+bt{y(t)=c+dtIf the parametric curve starts at (8,-2) when t=0 and ends at (9,-2) at t=1, then find a,b,c, and d. a= b=c=d= i need help asap! ill be giving a brainliest. Here is a list of numbers:202930333740414650Use four of the numbers to make a sequence and describe the rulefor continuing your sequence.PLEASE HELP What 2 molecules are needed to make cellular respiration happen?. multiple choice please help :)At John and Jay's Delicious Cookies test kitchen, engineers want to use materials to make the fastest cooling sheets for cookies after the cookies come out of the oven. The engineers are studying each material's thermalconductivity, or how easily a material can transfer thermal energy in the form of heat. Thermal conductivity ismeasured in Wim-K.Based on the information in the table,Thermal Conductivityof Different Materialswhich material should the engineers use tomake the cooling sheets?A. copperB. bronzeC. ironD. tungsten This Venn diagram shows the pizza topping preferences for 9 students. Petal Owen LIKES PEPPERONI Joe Kalie Noah Let event A = Student likes pepperoni. Let event B = Student likes olives. What elements are in A and B? Maria Zack A. (Bo, Petal, Owen} B. (Bo, Petal, Owen, Julia) C. (Joe, Kalie, Noah, Maria, Zack, Julia) D. {Maria, Zack} OLIVES Julia What was the purpose of the Edict of Fontainebleau? two possible tax planning activities for april are filing the tax return by april , and, if necessary, filing for an automatic six-month List at least two things Lincolns Gettysburg speech tells you about life in the United States at the time it was written The graph of y = -x + 2 is negativeover the interval (4, ) and positive over theinterval (-, 4). What happens on the graphwhen x = 4? Explain. MP.2 what quantities are conserved for a comet orbiting the sun?view available hint(s)for part chint 1for part c. what quantities are usually conservedwhat quantities are conserved for a comet orbiting the sun?speedtotal mechanical energykinetic energyangular momentum with respect to the center of the ellipseaccelerationgravitational potential energyangular speedlinear momentumangular momentum with respect to the sun a(n) ______ bus allows the processor to communicate with peripheral devices. 1-prosa 2-3 parrafos9-poseia habia,comenzo,aprovecho,llevaba ,vivia logro y transformo singnifico podian Which events led to world war 2? a. exploration b. the rise of fascism c. german aggression in europe kayak company uses a job order costing system and allocates its overhead on the basis of direct labor costs. kayak company's production costs for the year were: direct labor, $23,000; direct materials, $43,000; and factory overhead applied $5,300. the predetermined overhead rate was: a nurse wants to present information about flu immunizations to the older adults in the community. which type of communication should the nurse use? John is 28 years old and plans to retire at 67. He wants to have a fund at 67 that will let him spend $4,500 a month after retirement, and last for 45 years. Assume a continuous money flow. Answer the following. Round your answers (at the last step) to integers. (a) Suppose that after his retirement John puts the money in a fund paying interest at an annual rate of 4.2%, compounded continuously. Then John will need $ for his retirement (b) Suppose that John starts to invest a fixed amount each month from now until he retires, in a fund that pays interest at an annual rate of 6.2%, compounded continuously. Then he should invest $ each month