What factor is paired with 6 to give to24

Answers

Answer 1

Answer: 4

Step-by-step explanation:

f=factor

24=6*f

24/6=f

f=4

Answer 2

Answer:

4 is paired with 6 to get 24

Step-by-step explanation:

Here are some examples I got from my math teacher:

So How do you find the factor pairs?

Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.


Related Questions

Statistics on women in politics highlight that women - who make up over 50 percent of the u.s. population - are ________ in high government positions.

Answers

Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.

In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.

But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.

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An olympic swim the 200 m freestyle at a speed of 1.8 m/s. an olympic runner run the 200 m dash and 21.3 seconds how much faster was the runners speed in the swimmer speed to the nearest 10th of the meter per second?

Answers

Answer: 7.6

Step-by-step explanation:

PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG

Answers

the answer is (-8.6) + 7.2 = 7.2 - 8.6

Help I need some help due tomorrow

Answers

Answer:

Angle 1: 141 degrees

Angle 2: 39 degrees

Angle 3: 141 degrees

Step-by-step explanation:

Angle 2 and Angle 4 are equal since they are vertical angles. This means that Angle 2 is equal to 39 degrees.

Angle 1 and Angle 4 add up to 180 degrees. We call these supplementary angles. This means that Angle 1 is equal to 180-39=141 degrees.

Angle 1 and Angle 3 are vertical angles, so Angle 3 is also equal to 141 degrees.

Using your ruler to measure, draw segment EF so that it bisects RS shown below. Mark their intersection
as point A. Mark all relevant measures to justify your answer.

Answers

Using the segment addition postulate and the bisection concept, the segment EF bisecting RS is given at the end of the answer.

What is the segment addition postulate?

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

From this, the bisection concept is derived, which is when a line crosses a segment exactly at the segment's midpoint, meaning that point A is the midpoint of RS.

The illustration of this situation is given at the end of the answer.

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Answer and how to solve this

Answers

Step-by-step explanation:

When it says x = something, that basically means to replace the x with whatever it says x equals.

x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1

x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2

x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7

Hope this helps!! (:

• Liz fue a comprar un Kilo de Papas tres cuartos
de Kilo de tomate y medio Kils de aguacate Yob
Cuarto de kilo de cebolla ¿Cuantos Kilos Pesaba
toda la verdura que compro?

Answers

Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed

2,40

Dejar:

T = Tomate

n = cebolla

(2 kilograms of t) plus 1 kilogram of n = 8.40

(1 kilogram plus 2 kilograms) equals 7.80.

2t + n = 8,40 - -

t + 2n = 7,80 - -

De (2);

t = 7,80 - 2n

Toggata = 7.80 - 2n en

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2

t = 7,80 - 4,80

t = 3

As a result, the price of 1 kg of celery is $2.40.

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What feature in excel allows you to begin with a 1 in a1 and a 2 in a2 and complete the sequence through the number 30 in a30 without having to type in the entire sequence?

Answers

Answer:

type 1 in a1 type 2 in a2, (or whatever ur preferred no.s are),then heighlight both cells, then go to the bottom right corner of a2 and drag down or double click

Step-by-step explanation:

Drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.

What is excel?

Excel is a software in which we can process large amount of data and data handling easily and effectively, Excel can be used in Data analysis.

in a1 type 1 Type 2 in cell a2 (or whatever your chosen numbers are), highlight both cells, and then drag down or double-click the bottom right corner of a2.

Thus, drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.

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The function y=x+3 is what type of function?

1. linear

2. quadratic

3. cubic

4. rational

5. radical

Answers

Answer: the type of function is linear.

I hoped this helped!

mark me the brainliest :)

the function of y=x+3 is linear

A scientist uses a submarine to study ocean life.
She begins 174 feet below sea level.
After traveling down for 15 seconds, she's 252 feet below sea level.

Find the rate of change in the submarine's elevation in feet per second. Round your answer to the nearest tenth.

Answers

The rate of change in the submarine's elevation in feet per second is 5.2

According to the question ,

  She starts 174 feet below sea level

after 15 minutes she reaches 252 feet below sea level

distance travel in 15 minutes  = [tex]\frac{252 - 174}{15}[/tex]

                                                  = [tex]\frac{78}{15}[/tex]

                                                  = [tex]\frac{26}{5}[/tex]

                             Round off [tex]\frac{26}{5}[/tex]  =   5.2

There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.

Here some Rounding Examples :

Consider the number 8.9163

8.9163 rounded to the nearest tenth is 8.9

Because 9 is followed by 1 and 1 is less than 5.

8.9163 rounded to the nearest hundredth is 8.92

Because 1 is followed by 6 and 6 is greater than 5.

8.9163 rounded to the nearest thousandth is 8.916

Because 6 is followed by 3 and 3 is less than 5.

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Aramis showed the division of 6p2 9p 3 by 3p. a 3 b what are the values of a and b? a = 2p and b = p a = 3p and b = p a = and b = a = 2p and b =

Answers

A = 2p and B = 1/p  are the values of a and b.

What does math division mean?

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. Of course, in order to be fair, you should always pay each person the same amount.

To divide this,

[tex]\frac{6p^{2} }{3p} = 2p[/tex]

Multiplying back through, we have

[tex]3p * 2p = 6p^{2}[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^{2} - 6p^{2} = 0[/tex]

Bring down the next term, 9p.

See how many times 3p goes into 9p = 9p/3p = 3

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

2p + 3 + 3/3p

The remainder term 3/3p will simplify to 1/1p or 1/p;

this gives us

2p + 3 + 1/p

Therefore, the answer is  A = 2p and B = 1/p

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How many triangles exist with the given side lengths? 7 in, 7 in, 7 in A. No triangle exists with the given side lengths. B. Exactly one unique triangle exists with the given side lengths. C. More than one triangle exists with the given side lengths.How many triangles exist with the given side lengths? 7 in, 7 in, 7 in A. No triangle exists with the given side lengths. B. Exactly one unique triangle exists with the given side lengths. C. More than one triangle exists with the given side lengths.

Answers

Answer:

B. Exactly one unique triangle exists with the given side lengths

Step-by-step explanation:

A triangle has three sides. So if all three sides are the same in length then it is a equilateral triangle. Which means that only one triangle can be formed.

I hope this helps!! Have a good day :D

Find the solution to the system: -5/7-11/7x=-y and 7+5x=2y

Answers

The solution to the system of equation is x = 1 / 5 and y = 4

How to solve system of equation?

The system of equation can be solved as follows:

- 5 / 7 - 11 / 7 x = - y

7 + 5x  = 2y

let's rearrange the equations

Therefore,

- 11 / 7 x + y = 5 / 7

5x - 2y = -7

Let's multiply equation(i) by 7 to eliminate the fractions

Hence,

-11x + 7y = 5

5x - 2y = -7

Therefore, using substitution method

5x = -7 + 2y

x = -7 / 5 + 2 / 5 y

Hence,

-11(-7 / 5 + 2 / 5 y) + 7y = 5

77 / 5 - 22 / 5 y + 7y = 5

- 22 / 5 y + 7y = 5 - 77 / 5

-22y + 35y / 5 = 25 - 77  / 5

13y / 5 = -52 / 5

cross multiply

65y = -260

y = -260 / 65

y = 4

Hence,

5x - 2(4) = -7

5x - 8 = -7

5x = -7 + 8

x = 1 / 5

Therefore, the solution to the system of equation is x = 1 / 5 and y = 4

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Need help asap
will give u brainliest

Answers

The answer is X= 2/3… or 0.667

Please help and show how you did it!!

Answers

Answer

EAD= EBC true.

Step-by-step explanation:

Both triangles are equal. The line between AE and EB show the lines are equal. In turn this makes the sides AD and BC equal. DC are the same length as AE and EB. In short, all sides are equal so the triangles are the same.

Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.

Answers

The function is 4|x-4|.

It is required to find the  function g.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The original function is:

f(x)=|x|

Translation 4 units to the right we get,

f(x-4)=|x-4|

Horizontal stretch by a factor of 4

Multiplying by 4, so:

g(x)=4f(x-4)=4|x-4|

Therefore, the function is 4|x-4|.

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me is needing help ok

Answers

Answer:

50.96 days can be rounded to 51

73381
1223
51

Step-by-step explanation:

Too bad I can't see the choices. I will give the numbers both as exact figures rounded to integers and you have to choose the closest to these.

Part A

50.96 days

Part B

6.6043 x 10⁵ gallons at 9 gallons per minute = (6.6043 x 10⁵)/9 = 660,430/9 = 73,381.11 gallons per minute  rounded to 73,381 minutes

73,381 minutes = 73,381 /60 = 1223.02  hours 1223  hours

1223 hours = 1223/24 = 50.96 days rounded to 51 days

Hope that helps. Ask if you need further info

If the probability that it will rain tomorrow is 1/5, what Is the probability that it will not rain tomorrow ?


• 4/5
• 3/5
• 2/5
• 2/10

Answers

Answer:

4/5

Step-by-step explanation:

because 1/5 + 4/5 = 1

Jenna works in an ice cream shop. When she starts her shift, the tub of chocolate ice cream is 23 full. When she finishes her shift 612 hours later, there is only 16 of the tub left. What was the average hourly change in tub fullness?

Answers

The average hourly change in tub fullness is ₋1/13.

Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.

After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.

the average hourly change in tub fullness = ?

subtract the initial quantity from the quantity left after 6 1/2 hours.

⇒ 2/3 ₋ 1/6

= 1/2

Divide the quantity by 6 1/2 hours.

time is represented in improper fraction, convert it into proper fraction.

6 1/2  = 12 ₊ 1/2

= 13/2

⇒ 1/2 ÷ 13/2

= 1/13

the statement says the quantity decreases,

so ₋1/13

therefore the average hourly change in tub fullness is ₋1/13

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For each complex number z, find arg z
z = 4/5 + 3/5i

Answers

The argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is  [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

Complex number:

A complex number is a result of adding a real and an imaginary number. A complex number has the formula a + ib and is usually represented by the symbol z. Both a and b are real numbers in this case. The value 'a' is known as the real part, which is denoted by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.

Argument:

A complex number is represented in polar form by the equation r(cos[tex]\theta[/tex] +isin[tex]\theta[/tex]), where [tex]\theta[/tex] is the argument. Arg(z) denotes the argument function, where z is the complex number, i.e. z = x + iy. The complex argument can be determined by the following formula:

arg (z) = arg (x+iy) = [tex]tan^{-1}[/tex](y/x)      

Here the given complex number is ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )

arg (z) = arg ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )= [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

Therefore,the argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is  [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

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I really need help in this question

Answers

The height of the isosceles triangle is 8.08 cm.

Given the sides of the triangle are:

a = 9 cm (one side of the triangle)

b = 8 cm ( base of  the triangle)

Therefore, height of the triangle =?

An isosceles triangle's height is determined by measuring perpendicularly from one vertex to the other's triangle base. A triangle's height is one of its crucial parameters since it enables us to determine the triangle's area.

we know that h = √a²₋ b²/4

substitute a and b values in the above formula, to find height:

h = √9² ₋ 8²/4

h = √81 ₋ 64/4

h = √(81 × 4) ₋ 64 / 4

h = √324 ₋ 64/4

h = √260/4

h = √65

h= 8.06 cm

Therefore the height  of the isosceles triangle is 8.06 cm.

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what is 2 plus 2?

2 + 2 =?

Answers

Answer:

4

Step-by-step explanation:

2+2=4

just like 2×2=4

its just 2 doubled

2 doubled equals 4

Answer:

8

Step-by-step explanation:

Pls help my homework is due in 7mins

Answers

12^9 divided by 12

12^9 divided by 12^1

12^9-1

12^8

if ABCD is dilated by a factor of 2 the coordinate of C’ would be

Answers

Cordniate of c would be (-11,-1).

by a factor of one half the cornet of C would be what? So let's list the coordinates of A. B. C. D. First. So a is at -4 -2. And B is at negative to positive too. C is at 2:04 and D is at two negative two. Okay. So if I'm going to dilate by a scale factor of one half, that means I'm going to divide everything by two. So a prime would be negative two comma negative one. So negative two negative one. Oops. Would be a prime. You erased that at the dot that I did. And then be prime would be at negative one comma one. So be prime would be at negative one, comma one. See prime Would be at 1:02 one comma two.  And d prime would be at one comma negative 11 comma negative one

So therefore the cordinates of C would be (-11,-1)

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Answer:
The correct answer is C'= 4,4
Step-by-step explanation:
C=2,2 and dilated is larger so you would add 2 to both and you get 4,4 for C'

The function f(x) = -x³-7x2²-7x+15 has zeros located at-5, -3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.

Answers

Answer:

Step-by-step explanation:

[tex]f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0[/tex]

Multiply both parts of the equation by -1:

[tex]x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1[/tex]

rewrite the following statements less formally, without using variables. determine, as best as you can, whether the statements are true or false

Answers

All of the statements are True when the expressions are evaluated using appropriate illustrations.

What are Real numbers?Real numbers are made up of both rational and irrational numbers. Real numbers include integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as 3, (22/7), and so on.

STATEMENT: 1

Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.

As a result, the statement is correct.

[tex]1+\frac{1}{2}=1 \frac{1}{2}[/tex]


STATEMENT: 2

Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.

2² = 4; (1/3)² = 1/9

STATEMENT: 3

All positive integers have a squared value that is greater than or equal to the value.

n = 2; n² = 2² = 44 > 2

STATEMENT: 4

A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.

a = 3 ; b = - 4|a + b | = |3-4| ≤ |-3|+|4||-1| ≤ 3 + 4-1 ≤ 7

Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.

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The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.

a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.

d. For all real numbers a and b,|a+b|≤|a|+|b|

Name:
1.
O
a) Is the graph linear?
b) What is the domain?
c) What is the range?
d) What are the x and y intercepts?
e) Does the graph have symmetry? Type?
f) What are the extrema and end behavior? 20 points

Answers

The Graph is not linear.

To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)

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The equation for line c can be written as y= – 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?

Answers

Answer:  [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]

This is the same as writing y = (7/3)x - 2/3

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

Explanation:

The given equation is in y = mx+b form

m = -3/7 = slope

b = 4 = y intercept

Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3

The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.

We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]

We'll use the point-slope form to get...

[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]

This equation has a slope of 7/3 and y intercept of -2/3.

If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of

Answers

The value of the variable x is found to be x = 9.

What is termed as angle bisector?In geometry, an angle bisector is a line that divides an angle into two equal angles. A bisector is something that divides a shape or thing into two equal portions. An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

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Type the expression that results from the following series of steps:
Start with
n
, add 5, multiply by 4, then subtract 7.

Answers

Answer:

n + 5 x 4 - 7

Step-by-step explanation:

Answer:

4(n+)7

Step-by-step explanation:

n+5

(n+5) x 4 = 4 ( n + 5)

4( n+5)-7

Other Questions
You are working on a phylogenetic tree for a particular group of organisms. Assume that you know that the ancestral species had the short dna sequence cgt aga tac. You have discovered two other similar speciesone has cgt agt tac and the other has cct aga tac. How would you represent this in the construction of your phylogenetic tree?. Yo ______________________. (am cold) tengo razn tengo fro tengo hambre tengo suerte A tendency to notice and remember instances in which our premonitions of disaster are subsequently followed by unfortunate events may contribute to:___________ If the dissolution of borax in water is spontaneous, is the change in enthalpy positive or negative - or are both signs possible? choose... why do you predict this? choose... choose... . Council members were not elected. They were picked by chance. Why? Athenians thought elections could pick the most popular person. In this passage, the word elected means A. voted on B. left alone C. taken away D. complained to SUBMIT Pls help Im gonna fail Wu company incurred $131,200 of fixed cost and $147,600 of variable cost when 3,600 units of product were made and sold. if the company's volume doubles, the total cost per unit will:__________ When a researcher accidentally influences how participants behave, this effect is referred to as? The biggest threats to christmas island crabs during their annual migration are _______. a. dogs c. automobiles b. cats d. fences please select the best answer from the choices provided a b c d A 9-foot roll of plastic wrap costs $4.41. What is the price per yard? A wildebeest can provide a total kf 2000,000 kcal. however, the total cost to hunt and kill a wildebeest is 50,000 kcal.!8( lions cannot spend more than 15,000 kcal per hunt, how many lions need to be in on the hunt Traditional (white) rural music survived unchanged for many years in this region:_____. 32-15x3-5(5-13+44)-33+3(576+13-375) you have earned $151.00 with coins that are $2.00 and $5.00. How many coins of each will you have if you have a total of 47 coins? answer this question The water level in a swimming pool decreases from 60 inches to 58.25 inches in one week. Assuming that the water level changes at a constant rate, how much did the water level decrease each day? O 0.25 in. O 0.35 in. O 1.25 in. 1.75 in. __________ shows the number of units the market will buy in a given time period, at different prices that might be charged. Suppose you just won the state lottery, and you have a choice between receiving $4,500,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes During the year, pizza company, inc. had $100,000 in revenues, $40,000 in expenses, and paid $3,000 in dividends. net income equals ______. Explain in a mechanistic manner how a disruption in cell membrane can affect life.