answer with explanation ​

Answer With Explanation

Answers

Answer 1

Answer:

Step-by-step explanation:

To create a magic square with -6,-5,-4,-3,-2,-1,1,2, we need to arrange these numbers in a 3x3 grid such that each row, column, and diagonal add up to the same sum.

Here's one possible solution:

diff

Copy code

-6 1 2

-4 -5 9

8 -3 -2

To check if this is a magic square, we can calculate the sum of each row, column, and diagonal:

Rows:

(-6 + 1 + 2) = -3

(-4 - 5 + 9) = 0

(8 - 3 - 2) = 3

Columns:

(-6 - 4 + 8) = -2

(1 - 5 - 3) = -7

(2 + 9 - 2) = 9

Diagonals:

(-6 - 5 - 2) = -13

(2 - 5 + 8) = 5

All of these sums are equal to 0, so this is indeed a magic square.


Related Questions

What is the volume of a cylinder, in cubic ft, with a height of oft and a base diameter
of 16ft? Round to the nearest tenths place please:3

Answers

the volume of a cylinder is 2009. 6 cubic feet

How to determine the volume

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Given that the parameters in the equation are;

V is the volume of the cylinder.r is the radius of the cylinder.h is the height of the cylinder.

From the information given, we have that;

Diameter = 2 radius

Substitute the values

Radius = 8ft

Then,

Volume = 3.14 × (8)² × 10

Find the square

Volume = 3.14 × 64 × 10

Multiply the values

Volume = 2009. 6 ft³

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Simplify: (x^2-5x-36)/(x^3-17x^2+72x)
Group of answer choices

(x+3)/(x-6)

1/(-2x)

(x+4)/(x-8)

(x+4)/(x^2-8x)

Answers

Answer:

(x + 4)/x^2 - 8x)

Step-by-step explanation:

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

The correct statements regarding the scatter plot are given as follows:

The line of best fit gives the best approximation between the SAT score and the GPA.The line of best fit can be used to predict the GPA based on the SAT score.A reasonable prediction of GPA for a SAT score of 2100 is a GPA of 3.5.

What is the scatter plot?

The scatter plot, as shown by the image given in the problem is a series of points of the data-set in the following format:

(SAT score, GPA).

There is a positive association between the data, as the line of best fit, which gives the best approximation between the SAT score and the GPA, and can be used to predict the GPA based on the SAT score, is increasing.

For a SAT score of 1700, an expected GPA is of about 3.1, considering the intersection of y = 3.1 with the line of fit when x = 1700.

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The sports shop has 63 part-time employees and 27 full-time employees. What percentage of
the employees at the sports shop work part-time?
Write your answer using a percent sign (%).

Answers

Answer:

70%

Step-by-step explanation:

63 / (63+27)

63 / 90 = 0.7

Turn 0.7 into a fraction, 70 under 100

Then rewrite the fraction 70 under 100 to 70%

Multiply 6 × 3 then divide by 2 how do you simplify that expression

Answers

Answer:

6 × 3 = 18

18 ÷ 2 = 9

Therefore, the expression 6 × 3 ÷ 2 simplifies to 9

Step-by-step explanation:

To simplify the expression, we follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right.There

are no parentheses or exponents,so we multiply 6 by 3 to give us 18.

Then we divide 18 by 2 to give us 9.

There for the Expression simplifies to 9.

HOPE IT HELPS.

PLEASE MARK ❣️‼️ ME AS BRAINLIEST .

This data set represents the widths in yards of pieces of fabric used by a sewing group.
What is the mean of this data set?

{1 1/3, 1/4, 2/3, 1/2, 1 1/4}
Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

[tex] \frac{4}{5} [/tex]

On average, 66% of the days in Seattle, Washington, are cloudy or rainy. Describe a model that you could use to simulate this situation.

Answers

Since on average, 66% of the days in Seattle, Washington, are cloudy or rainy, a model that could be used to simulate this situation is an experimental probability model of about 2/3.

How to describe a model that you could use to simulate this situation?

In this scenario and exercise, you are to required to describe a model that you could be used to simulate a situation in which 66% of the days in Seattle, Washington, are cloudy or rainy on an average.

In this context, we can reasonably infer and logically deduce that the most accurate and feasible model to use would be an experimental probability model of about 2/3;

66% = 66/100 = 33/50 ≈ 2/3.

In conclusion, you should select two (2) red marbles that each represent cloudy or rainy days and one (1) blue marble that represent non-cloudy or non-rainy days, and then pick one marble randomly. Repeat several times in order to determine experimental probability that a day would either be cloudy or rainy.

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the pH of a liquid is measure of how acidic or basic it is. the concentration of hydrogen ions in a liquid is labeled [H+]. use the formula pH=-log[H+] to find the pH level, to the nearest tenth, of a liquid with [H+] about 4.3 x 10^-14
13.4
14.6
-13.4
-14.6

any other answers from the Exponential and Logarithmic functions unit test part one? really struggling, offering 20 points and brainliest

Answers

Using the formula pH = -log[H+], we can calculate the pH of the liquid as follows:

pH = -log(4.3 x 10^-14)
pH = -(-13.37)
pH = 13.4

Therefore, the pH level of the liquid with [H+] about 4.3 x 10^-14 is 13.4 to the nearest tenth.

simple interest see question

Answers

Answer:

P((1 + r)^6) = 1,675.80

P((1 + r)^5) = 1,606.50

------------------------------

b) 1 + r = 266/255, so r = 11/255 = .04 = 4%

a) P((1 + 11/255)^5) = 1,606.50

P = $1,300.69

The elevations of four locations are shown in the table. Which statement is true?
Location
New Orleans
Death Valley
Salton Trough
Rio Bravo
Elevation
(meters)
-2
-86
-69
95
New Orleans is closer to sea level than Salton
Trough.
Rio Bravo has a lower elevation than Salton
Trough.
New Orleans has a lower elevation than Death
Valley.
Rio Bravo is closer to sea level than Death
Valley.

Answers

The elevations of four locations.

Hence, the correct option is C.

Based on the elevation

New Orleans has an elevation of -2 meters, which means it is below sea level.Death Valley has an elevation of -86 meters, which means it is also below sea level, but at a lower elevation than New Orleans.Salton Trough has an elevation of -69 meters, which means it is also below sea level, but at a higher elevation than New Orleans.Rio Bravo has an elevation of 95 meters, which means it is above sea level, and thus cannot be closer to sea level than any of the other three locations.

Therefore, New Orleans has a lower elevation than Death Valley.

Hence, the correct option is C.

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The scatter plot shows an increase in height of the children with their age.

Which type of association is seen between the age and height of the children?

Answers

A type of association that is seen between the age and height of the children include the following: C. positive linear association.

What is a positive correlation?

In Mathematics and Statistics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values (age) and y-values (height) because they both increase simultaneously.

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Please help ASAP math question

Answers

The possible values of x, given the number of bets are $54,999, $14,999, and -$1.

The expected winnings would be -$0.97.

How to find the expected winning ?

The possible values of the net winning would be the amount you win at net if you win first prize, second prize, or nothing.

The possible values would therefore be:
$54,999, $14,999, and -$1.

These show that if you win the first or second prize, you will deduct the $ 1 you bet. And if you win nothing, you would have lost $ 1.

The expected winnings would be:

= ∑ ( Probability of event x Potential net win / loss)
= ( 1 / 3, 000, 000 x 54, 999 ) + ( 2 / 3, 000, 000 x 14, 999 ) + ( 2,999, 997 / 3, 000, 000 x - 1 )

= - $ 0.97

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Find the graphed inequality below
Please explain

Answers

Answer:

poor photo quality.

Step-by-step explanation:

The value of y varies jointly with the values of x and z. When x=4 and z=9, the value of y is 360.

What is the value of y when x=5 and z=12?

Group of answer choices

170

10

600

450

Answers

Answer:

C

Step-by-step explanation:

y = k * z , where k is any constant

x=4, z=9 , y=360

360 = k (4)(9)

360 = 36 k

k = 360/36

k = 10

y = 10 * z

when x=5 and z = 12

y = 10 (5)(12)

y = 600

Directions - Find the sector areas of both the grey and white areas:
*Use 3.14 in place of
285⁰
8 in

in²
in
(round to two decimal places)
(round to two decimal places)
E

Answers

The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

Finding the sector areas of the grey and white areas:

From the question, we have the following parameters that can be used in our computation:

Radius, r = 8 inchesCentral angle,= 45 degrees

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Gray = 285/360 * 3.14 * 8^2 = 159.09White = (360 -285)/360 * 3.14 * 8^2 = 41.87

Hence, the area is 159.09

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Fernando also learns in math class that the rule Add 1 to the side length of a pentagon with equal sides length results the rule Add 5 to the perimeter. Write four ordered pairs that relate the side length of a pentagon to the perimeter of the pentagon.

Answers

All the four ordered pairs that relate the side length of a pentagon to the perimeter of the pentagon are,

⇒ (1, 5) (2, 10) (3, 15) (4, 20)

Given that;

Fernando also learns in math class that the rule Add 1 to the side length of a pentagon with equal sides length results the rule Add 5 to the perimeter.

Now,

Here are four ordered pairs that relate the side length of a pentagon to the perimeter of the pentagon:

⇒ (1, 5) (2, 10) (3, 15) (4, 20)

Hence, In each pair, the first number represents the side length of the pentagon, and the second number represents the perimeter of the pentagon.

And,  If you add 1 to the side length in each pair, you'll see that the perimeter increases by 5, just as Fernando learned in math class.

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Use the sine ratio the cones any ratio or the inverse sine to solve for s round each answer to the nearest tenth

Answers

The value of x is given as follows:

x = 13.1 ft.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.

We have that the important parameters are given as follows:

Hypotenuse of x.Angle of 57º opposite to the side of length 11.

Hence the value of x is obtained as follows:

sin(57º) = 11/x

x = 11/sine of 57 degrees

x = 13.1 ft.

Missing Information

The triangle is given by the image presented at the end of the answer.

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Una versión muy simplificada de una tabla de insumo-producto para la economía de Israel en 1958 divide dicha economía en tres sectores agricultura, manufactura y energía con los si-guientes resultados.
a) ¿Cuántas unidades de producción agrícola se requieren para obtener una unidad de produc-to agrícola?
b) ¿Cuántas unidades de producción agrícola se requieren para obtener 200 000 unidades de productos de esta naturaleza?
c) ¿Cuántas unidades de producción agrícola se requieren para obtener 50 000 unidades de energía?
d) ¿Cuántas unidades de energía se requieren para obtener 50 000 unidades de productos agrí-colas?

Answers

Note that:

 a) 1 unit  of   agricultural production required to obtain 1 agricultural product.

b) 200,000 units of agricultural production are required to obtain 1 of agricultural product.

c) 22,727 units of agricultural production are required to obtain 50,000 units of energy.

d) we need 27,825 units of energy to produce 50,000 units of agricultural products.

How did we get the aabove answer?

a) According to the table, the coefficient of production for agriculture is 0.293, that is

0.293 units of agricultural production = a unit of agricultural product.

b) To obtain 200,000 units of agricultural products we say

0.293 x 200,000,=  58,600 units of agricultural production.

c) the coefficient of production for energy with respect to agriculture is 0.044,

that is ,

0.044 units of agricultural production = a unit of energy.

So

50,000 units of energy,=

0.044 by 50,000,

= 2,200 units of agricultural production.

d) To obtain 50,000 units of agricultural products

use the Leontief inverse of the input-output table, which is simply the inverse of the coefficient matrix.

      [ 3.4175  -0.2345  -0.5565 ]

       [-0.1894   4.8264  -0.2114 ]

       [-0.3074   0.1772   4.8324 ]

       [ (3.4175  x0) +   (-0.2345 x 0) + (-0.5565  x 50,000)  ]

       [ (-0.1894   x0) + (4.8264x 0) + (-0.2114  x50,000) ]

       [ (-0.3074   x0) + (0.1772  x0) + (4.8324  x50,000) ]


       [ -27,825 ]

       [ -10,570 ]

       [ 241,620 ]

Thus, we need 27,825 units of energy to produce 50,000 units of agricultural products.

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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

30

hope this helps !!

Answer: It's 30.

Step-by-step explanation: The dot at 200 on "Amount Spent" is also right between 20 and 40. Which is 30, your answer.

What algebric equation can maxine use to calculate the total mass of pH powder that was sold? A,B,C,D and E.​

Answers

A) Maxine calculated the total mass of pH powder sold on day 1 by evaluating the algebraic expressions for small and large container sales.

B) If the variable s represents the number of containers sold, the value of the algebraic expression 0.75s represents the total mass of pH powder sold each day.

C) The algebraic expression to represent the mass (in kilograms) of powder sold in large containers daily is 1.25l.

D) The algebraic expression to show how Maxine calculated the total mass of pH powder sold on day 1 is 0.75s + 1.25l, which is evaluated to be 49.25 kg.

E). Using the algebraic expression, the total mass of powder sold on Day 2 and 3 is as follows:

Day 2 = 66.75 kgDay 3 = 53.0 kg.

What is an algebraic expression?

An algebraic expression is a combination of of variables and constants, together with mathematical operands (addition, subtraction, division, and multiplication, etc.).

pH Plus Power Sales

Day       # of small containers    # of large containers    Total Mass

                    (0.75 kg)                            (1.25 kg)              (Kilograms)

Day 1               14                                       31                        49.25 kg

Day 2              19                                      42                        66.75 kg

Day 3             24                                      28                        53.00 kg

Let the number of small containers sold = s

Let the number of large containers sold = l

The mass of a small container = 0.75 kg

The mass of a large container = 1.25 kg

Expressions:

Total mass of small containers sold daily  = 0.75s

Total mass of large containers sold daily = 1.25l

Total mass of small and large containers sold daily = 0.75s + 1.25l

Total Mass Sold:

Day 1 = 0.75(14) + 1.25(31) = 49.25 kg

Day 2 = 0.75(19) + 1.25(42) = 66.75 kg

Day 3 = 0.75(24) + 1.25(28) = 53.00 kg

pH Plus Power Sales

Day       # of small containers    # of large containers    Total Mass

                    (0.75 kg)                            (1.25 kg)              (Kilograms)

Day 1               14                                       31                        49.25 kg

Day 2              19                                      42

Day 3             24                                      28

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please help me i don’t understand how to make the parabola wider

Answers

Answer:

The smaller the coefficient (the number in front of the x), the wider the parabola

Step-by-step explanation:

Alondra wrote the following incomplete statement. 4.3 < 4. _____ Which of the following strategies could Alondra use to help her complete the statement? Select all that apply.

A. Write any decimal value with a number greater than 3 in the tenths place
B. Write any decimal value with a number greater than 3 in the hundredths place
C. Write any decimal value greater than 30 hundredths
D. Write any decimal value with 2 digits
E. Write any decimal value with a 3 in the tenths place

Answers

The strategies that Alondra can use to complete the statement include:

A. Write any decimal value with a number greater than 3 in the tenths placeB. Write any decimal value with a number greater than 3 in the hundredths placeC. Write any decimal value greater than 30 hundredths

Why are these strategies best ?

When a decimal number is created by Alondra and possesses 4 or more in the tenths place, it will exceed 4.3, as stated to exemplify decimals including 4.31 or 4.32.

Similarly, if there are 3 units plus a greater number appended behind the second digit after the decimal point (hundredths place). Deriving an outcome extending further than 4.30 can occur for any value above that obtained from inputting the numbers 4 and 3 into their respective positions in a given sequence.

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Which of the following steps indicates the addition property of equality while solving the equation –1 – 6x = x – 15?B)

B) 23 – 6x – 24 = x – 15

C) –1 – 6x = x – 15

D) –1 – 6x + 15 = x – 15 + 15

Answers

The step that indicates the addition property of equality while solving the equation -1 - 6x = x - 15 is : (b) -1 - 6x + 15 = x - 15 + 15.

The "addition-property" of equality states that if we add the same quantity to both sides of an equation, the equation remains true.

In the equation -1 - 6x = x - 15, we need to isolate the variable term 'x'.

To isolate variable "x",  we are adding 15 to both sides of the equation, which is the addition property of equality. This step simplifies the equation and isolate the variable "x" on one side.

So, we get,  -1 - 6x + 15 = x - 15 + 15,

Therefore, the correct step indicating the "addition-property" is (b).

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The given question is incomplete, the complete, the complete question is

Which of the following steps indicates the addition property of equality while solving the equation -1 - 6x = x - 15?

(a) x = 14/2

(b) -1 - 6x + 15 = x - 15 + 15

(c) -1 - 6x = x - 15

(d) 23 - 6x - 24 = x - 15

Which of the following choices is a linear function?

Answers

Answer: f(x)=x-2

Step-by-step explanation:

Linear function means a straight line, so graph each one to find which is a straight line

In a circle with radius 2, an angle
intercepts an arc of length 7 π/2. Find the angle in radians in simplest form.

Answers

The angle in radians in simplest form is 7π/4 radians.

How to determine the angle in radians?

In Mathematics and Geometry, you will have to divide the central angle that is subtended by the arc of a circle by 360 degrees if you want to calculate the arc length formed by a circle, and then multiply this fraction by the circumference of the circle.

Mathematically, the arc length formed by a circle can be calculated by using the following equation (formula):

Arc length = rθ

Where:

r represents the radius of a circle.θ represents the central angle.

By substituting the given parameters into the arc length formula, we have the following;

7π/2 = 2 × θ

θ = 7π/4 radians.

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20 Per Question, Algebra 2, Thanks :)

Answers

The fraction in factored form is determined as  (x - 8)(x + 10) / (x - 10)(x + 8).

What is the quotient of the division?

The quotient of the division is calculated as follows;

( x² - 3x - 40 )/ (x² + 8x - 20) ÷ (x² + 13x + 40)/(x² + 12x + 20)

Factorize each of the expressions;

x² - 3x - 40

= x² + 5x - 8x - 40

= x(x + 5) - 8(x + 5)

= (x + 5)(x - 8)

x² + 8x - 20

= x² + 2x - 10x - 20

= x(x + 2) - 10(x + 2)

= (x + 2)(x - 10)

x² + 13x + 40

=  x² + 5x + 8x + 40

= x(x + 5) + 8(x + 5)

= (x + 5)(x + 8)

x² + 12x + 20

=  x² + 2x + 10x + 20

= x(x + 2) + 10(x + 2)

= (x + 2)(x + 10)

The fraction in factored form is written as;

(x + 5)(x - 8)/(x + 2)(x - 10) ÷ (x + 5)(x + 8)/(x + 2)(x + 10)

(x + 5)(x - 8)/(x + 2)(x - 10)  x  (x + 2)(x + 10)/(x + 5)(x + 8)

= (x - 8)(x + 10) / (x - 10)(x + 8)

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Which graph shows the correct solution to the linear-quadratic system of inequalities below?
{y<0.5x^2+1
5x-2y>=-10}​

Answers

The graph of the linear and quadratic equation is attached below

What is the graph of linear and quadratic equations

A linear and quadratic system can be represented by a line and a parabola in the xy-plane. Each intersection of the line and the parabola represents a solution to the system.

A line and a parabola can intersect zero, one, or two times, which means a linear and quadratic system can have zero, one, or two solutions.

If a graph of the system is not provided, then the ability to quickly draw graphs based on equations is essential.

However, in this problem, we have the equation given and we can easily draw the graph using a graphing calculator.

The solution to the problem is attached below;

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What happens to a consistent slope when the y value starts to decrease and the x value remains the same over time?

A. Y decreases and X decreases

B. Y decreases and X increases

C. Y increases and X increases

D. Y increases and X decreases

Answers

When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.

A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.

When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.

This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.

Therefore, the answer is option B: Y decreases and X increases.

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Fill in the missing values to make the equations true.

Answers

Answer:

a)

[tex] log_{7}(3) - log_{7}(5) = log_{7}( \frac{3}{5} ) [/tex]

b)

[tex] log_{3}(11) + log_{3}(2) = log_{3}(22) [/tex]

c)

[tex] - 4 log_{8}(3) = log_{8}( {3}^{ - 4} ) = log_{8}( \frac{1}{ {3}^{4} } ) [/tex]

P
60°
30°
8 yd
Write your answer in simplest radical form.
yards

Answers

Using the sine ratio, the value of p in the right triangle, in simplest form is: p = 4.

How to Find the Missing Side in Simplest Radical Form?

To find the value of p, we have to determine what formula to use. We would apply the sine ratio, which is:

sin ∅ = opposite side / hypotenuse.

From the right triangle in the diagram, we have:

sin 30 = p / 8

p = sin 30 * 8

Note: sin 30 = 1/2

Therefore, we have:

p = 1/2 * 8

p = 4

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john and nolan are huge fans of the new york knicks basketball team, whereas brad is a fan of the brooklyn nets. which of the following is john most likely to do? group of answer choices he will favor nolan because nolan belongs to the ingroup. he will favor brad because brad belongs to the outgroup. he will be hostile to brad because of discrimination. he will like nolan and brad equally because of stereotypes. what would have the biggest influence on top management's reaction to a difference between budgeted and actual sales Both experts address the issues of race in addition, like Mandela speech Lincoln speech, specifically addresses the concept ofA.citizens feeling united with their nationB.the rebuilding of a nation after conflictC.war tearing a nation apartD.the valiant people who fought in a war Unfair treatment of others based on their membership in a specific social group is known as __ Write equivalent fractions for 1/5 and 3/4 using 20 as the common denominator. (Dilations MC)Triangle ABC with vertices at A(-1, -1), B(1, 1), C(0, 1) is dilated to create triangle A'B'C' with vertices at A'(-3, -3),B'(3, 3), C'(0, 3). Determine the scale factor used.01O1/203 Two problems with the leadership of the catholic chruch before the reformation PLEASE HELP!How would the graph look? how far should the front of the camera be from her friend?express your answer to two significant figures and include the appropriate units.express your answer to two significant figures and include the appropriate units.-long pinhole camera for a science fair project. she wants to photograph her 160-cm -tall friend and have the image on the film be 5.4 cm high. given: use the following (short) document corpus for the remaining part of the homework. d1 higher term frequenc longer document d2 repeat term give higher term frequenc d3 term frequenc import term document d4 invers document frequenc import term corpu a patient is being treated for full thickness burns of the trunk and arms sustained 24 hours ago. current urine output is 30ml an hour. which of these changes in output should the nurse expect to occur within the next 48 hours. a. an increase in hemoconcentration in the vascular compartment b. a decrease due to fluid retention in the tissue spaces c. an increase due to fluid shift into the vascular compartment d. a decrease due to the sodium and potassium shifting How much ATP is required to transform N2 into ammonia? Which of the following statements about the evolution of anolis lizards in the caribbean islands is true? the genetic relatedness of ecomorphs was determined by comparing their nuclear dna sequences. the phylogeny of ecomorphs on a given island reveals that adaptive radiation has taken place. a crown ecomorph living on one island is always the same species as a crown ecomorph living on a neighboring island. twig ecomorphs can jump very well. A rectangle has a diagonal of 100 feet as shown in the picture below Which of the following lengths could be the base and height of the rectangle?A. Base = 80 feet; Height = 60 feetB. Base = 8 feet; Height = 6 feetC. Base = 50 feet; Height = 50 feetD. Base = 75 feet; Height = 25 feet What do molarity and molality measure and how do the two terms differ? Calculate the net income after 25% income tax. A. $43,675 B. $15,175 C. $65,975 D. $21,375 What is your role, as an Analyst, regarding the SOC 2 auditing report? in 1980, smith and her colleagues did a meta-analysis of the effectiveness of psychotherapy. what did they find? a painting bought by your grandmother 45 years ago for $150 has been appraised for $45,000. what is the rate of return that her investment fetched her per year compounded yearly? the constant growth model is a dividend discount model that assumes that future dividends (dt) will grow at some constant rate (g) and be discounted at some required return (kcs). a. true b. false