14 men and 10 women started a pie eating contest. At the second round, 2 men and 2 women dropped out of the contest. What is the percentage of women that proceeded to the next round?

Answers

Answer 1

Answer: 80%

Step-by-step explanation:

Since only 2 out of 10 women dropped out, 10 - 2 = 8

One woman = 10%, 8 x 10% = 80%

Answer 2

The percentage of the women who moved to the next stage is 80%.

What is the percentage?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Women who moved to the next stage: 10 - 2 = 8

(8/10) x 100 = 80%

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Related Questions

In an office 42% of the workers are female. There are 21 female workers. How many people work in the office in total?

Answers

Answer:

50 people are working in the office

if x = { 3,6,9,12,...} and y = {5,10,15,20,.. then every member of x and y is ?

A) a multiple of 3 but not of 5
B) a multiple of 5 but not of 3
C) a multiple of 15
D) a multiple of 30

Answers

Answer:

the answer is D)

a multiple of thirty

About ​5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least employees who earn the prevailing minimum wage or less. Complete parts​ (a) through​ (c) below. Company B has 540 employees. What is the probability that Company B will get the​ discount?

Answers

The probabilities for various binomial distribution have been determined.

The complete question is

About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Complete parts (a) through (c) below.

(a) Company A has 285 employees. What is the probability that Company A will get the discount? (Round to four decimal places as needed.)

(b) Company B has 502 employees. What is the probability that Company B will get the discount? (Round to four decimal places as needed.)

(c) Company C has 1033 employees. What is the probability that Company C will get the discount? (Round to four decimal places as needed.)

What is Probability ?

Probability is a stream in mathematics that study the likeliness of an event to happen .

On the basis of the given data

(a) Let X is a random variable that denotes the number of employees that earn less than prevailing average.

Here X has binomial distribution with

n=285 and p=0.05.

As np and n(1-p) are greater than 5 so using normal approximation X has normal distribution with parameters

μ=  np-285 * 0.05

= 14.25

standard deviation is given by

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{285* 0.05* 0.95}\\\\=3.6793[/tex]

Applying continuity correction.

The z-score for X = 30-0.5 = 29.5 is

[tex]z=\dfrac{29.5-14.25}{3.6793}\\\\=4.14[/tex]

The probability that Company A will get the discount is given by

[tex]P(X\geq 30)=P(z > 4.14)=0.0000[/tex]

(b) Let X is a random variable that denotes the number of employees that earn less than prevailing average.Here X has binomial distribution with

n=502 and p=0.05.

[tex]\rm \mu=np=502* 0.05=25.1[/tex]

standard deviation

[tex]\rm \sigma=\sqrt{np(1-p)}=\sqrt{502\cdot 0.05\cdot 0.95}=4.8831[/tex]

Applying continuity correction.

The z-score for X = 30-0.5 = 29.5 is

[tex]\rm z=\dfrac{29.5-25.1}{4.8831}=0.90[/tex]

The probability that Company B will get the discount is

[tex]P(X\geq 30)=P(z > 0.90)=0.1841[/tex]

(c)Let X is a random variable that denotes the number of employees that earn less than prevailing average.Here X has binomial distribution with

n=1033 and p=0.05.

[tex]\mu=np=1033\cdot 0.05=51.65[/tex]

standard deviation

[tex]\rm \sigma=\sqrt{np(1-p)}=\sqrt{1033*0.05* 0.95}=7.0048[/tex]

Applying continuity correction.

The z-score for X = 30-0.5 = 29.5 is

[tex]\rm z=\dfrac{29.5-51.65}{7.0048}=-3.16[/tex]

The probability that Company C will get the discount is

[tex]\rm P(X\geq 30)=P(z > -3.16)=0.9992[/tex]

Therefore the probabilities for various binomial distribution have been determined.

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Tickets for a basketball game cost $5 for students and $8 for adults. The number of students was 7 less than 9 times the number of adults. The total amount of money from tickets sales was $3039. How many tickets were sold for adults aside from students?

Answers

We conclude that 515 student tickets were sold, and 58 adult tickets.

How many tickets of each type were sold?

Let's define the variables:

x = tickets for students sold.y = tickets for adults sold.

We can write the system of equations:

x = 9*y - 7

x*5 + y*8 = 3039

Now we can replace the first equation into the second one:

(9*y - 7)*5 + y*8 = 3039

45y + 8y  - 35 = 3039

53y = 3074

y = 3074/53 = 58

Now we can use:

x = 9y - 7 = 9*58 - 7 = 515

We conclude that 515 student tickets were sold, and 58 adult tickets.

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At a sale this week, a desk is being sold for $561. This is 68% of the original price. What is the original price?​

Answers

Answer:

825

Step-by-step explanation:

hope it helps.good day

X+24=35 how to solve this

Answers

Answer:

X = 11

Step-by-step explanation:

Simplifying

X + 24 = 35

Reorder the terms:

24 + X = 35

Solving

24 + X = 35

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + X = 35 + -24

Combine like terms: 24 + -24 = 0

0 + X = 35 + -24

X = 35 + -24

Combine like terms: 35 + -24 = 11

X = 11

Simplifying

X = 11

Answer:

x+24=35

then collect like terms together, which means "x" terms in one side and numbers in one side:

x=35-(+24)

we need to change the signs when ever we change its place, like changing from one side to another

x=35-24

x=11. ✓

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.

y = 7.5x

y = 5.5x + 10

1. Substitute: 7.5x = 5.5x + 10

Answers

Answer: Y= 37.5

Explanation: X=5 so you will have to substitute X into Y=7.5X and you get Y=37.5

ASAP AWNSER PLSSS!

Determine how far away the number -2 is from 0. Then, choose a positive number and a negative number that is each farther away from zero than is the number -2.

Answers

Answer:

it is 2 spaces away. a positive number from zero would be +2 and a negative number would be -2

Step-by-step explanation:

A I did the quiz and got it rights so yea I think it’s a

Help me please I beg you

Answers

Ok so the midpoint formula is (x1+x2)/2 , (y1+y2)/2
You want to find the midpoint of (-4,8) and (4,-2).
Just plug the numbers in the formula and you get (4-4)/2 , (-2+8)/2 which equals 0/2 , 6/2 which tells you that the midpoint is (0,3).

Your answer should be (0,3)
Hope it helps!

What is the value of 7 in 52.703.?​

Answers

7 = Tenth

7 is the first decimal of the number making it a tenth.

Find the solution to the system
of equations.
y = x + 2 =
X
24-3-2-1
-4
3
1
-1
-2
-3
-4
123
234
y = -x
([?], [])
Entor

Answers

Answer:

(-2, 1)

Step-by-step explanation:

You can read the solution from graph. The solution is where the two lines intersect. That happens in point (-2, 1).

---

Alternative:

If you want to be sure, you can alway double check by solving the system of equations.

First equation: [tex]y = \frac{1}{2}x + 2[/tex]

Second equation: [tex]y = -\frac{1}{2}x[/tex]

Substituting y in first equation with y from second.

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

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

Adding [tex]\frac{1}{2}x[/tex] on both sides.

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

[tex]0 = 1x + 2[/tex]

[tex]0 = x + 2[/tex]

[tex]-2 = x[/tex]

Substituting x with -2.

[tex]y = -\frac{1}{2}x[/tex]

[tex]y = -\frac{1}{2}(-2)[/tex]

[tex]y = 1[/tex]

As you see you get the same result as from reading the graph, (-2, 1).

please do draw the answer
please needed fast. (^^)​

Answers

Answer:

hope it helps.good day

in case you don't understand anywhere feel free to ask

Is AABCDEF? If so, identify the similarity postulate or theorem that
applies.
A
B
16 105⁰
36
с
D
4
LLI
E
9
-105⁰
F
OA. Similar - AA
OB. Similar - SSS
OC. Similar - SAS
OD. Cannot be determined
4

Answers

Answer:

C

Step-by-step explanation:

C is the correct answer as both triangles have a similar angle of 105⁰ and both side lengths of triangle ABC are being divided by 4 to have the same two side lengths as triangle DEF

The triangles ΔABC and ΔDEF are similar triangles by SAS theorem

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

The measure of side AB = 16

The measure of side AC = 36

And , the measure of ∠ABC = 105°

Let the first triangle be ΔDEF

The measure of side DE = 16

The measure of side DF = 36

And , the measure of ∠DEF = 105°

Now , the ratio of sides of the triangles is given by

AB / DE = AC / DF

4/16 = 9/36

1/4 = 1/4

So , corresponding sides of similar triangles are in the same ratio

And , the measure of angles = 105°

Therefore , by SAS , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Hence , they are similar triangles

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Graph the following non-linear system of equations and identify the two solutions. y=2x −7x+3y=3 What type of function is the equation y=2x ? Linear [ ] Quadratic [ ] Exponential [ ] What type of function is the equation −7x+3y=3 ? Linear [ ] Quadratic [ ] Exponential [ ] Use your graph below to identify the two solutions to this non-linear system of equations. Note: All solutions to this problem are whole numbers. None of the answers are decimals or fractions. List the solution, (x,y), with the smallest x value below. x= __________ y= __________ List the solution, (x,y), with the largest x value below. x= __________ y= __________

Answers

The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value  x = 3 , y = 8 .

What is a Equation ?

An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.

The equations given in the question is

y = 2ˣ

This is an exponential function

-7x +3y = 3

This is a linear function

The equations have been plotted and the solution to the non linear system of equation has been determined

The point at which the graphs intersect is the solution to the system of non -linear equations.

(0,1) and (3,8)

x = 0 , y = 1 ; x = 3 , y = 8

The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value  x = 3 , y = 8 .

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Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first.
-x³+4x-15; x+3
Is x + 3 a factor of -x +4x-15?
Yes or no?

Answers

Yes, by using the factor theorem and synthetic division method, x + 3 is a factor of -x³ + 4x - 15.

What is the factor theorem?

According to the factor theorem, a given polynomial of f(x) has a factor if and only if f=0.

From the given information:

The factor of -x³ + 4x - 15 is -(x+3)(x² - 3x + 5) = 0

Using the synthetic division method:

[tex]\mathbf{= \dfrac{-x^3+4x - 5}{x+3} }[/tex]

[tex]\mathbf{\implies \dfrac{-(x+3) (x^2-3x + 5)}{x+3} }[/tex]

Cancel out the common factors, we have:

[tex]\mathbf{\implies - (x^2-3x + 5)}[/tex]

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What is the solution to -¾x+2<_-7

Answers

Answer:

[tex]x\geq 12[/tex]

Step-by-step explanation:

[tex]-3/4x + 2 \leq -7\\-3/4x \leq -9\\x \geq 12[/tex]

Find the basis of the null space of A.

Answers

Answer:

[tex]\left[\begin{array}{cccc}-1\\1\\1\\0\end{array}\right][/tex], [tex]\left[\begin{array}{cccc}0\\2\\0\\1\end{array}\right][/tex] Are two vectors which are basis of null space of A

Step-by-step explanation:

Basis of a null space is a vector matrix which when multiplied by the reduced echelon form of the matrix gives null matrix or 0 matrix

So, to find the reduced echelon form we apply the row operations :

R₁ = R₁/2

[tex]\left[\begin{array}{cccc}1&-2&3&4\\2&-1&3&2\\4&-5&9&10\\0&-1&1&2\end{array}\right][/tex]

R₂ = R₂ - 2R₁

[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&3&-3&-6\\4&-5&9&10\\0&-1&1&2\end{array}\right][/tex]

R₃ = R₃ - 4R₁

[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&3&-3&-6\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]

R₂ = R₂/3

[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&1&-1&-2\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]

R₁ = R₁ + 2R₂

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]

R₃ = R₃ - 3R₂

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&-1&1&2\end{array}\right][/tex]

R₄ = R₄  + R₂

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&0&0&0\end{array}\right][/tex]

which is a reduced echelon form of the matrix A

now ,

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&0&0&0\end{array}\right][/tex]    [tex]\left[\begin{array}{cccc}x1\\x2\\x3\\x4\end{array}\right][/tex]  [tex]=\left[\begin{array}{cccc}0\\0\\0\\0\end{array}\right][/tex]

therefore,

x₁ + x₃ = 0

x₁  = -x₃

x₂ - x₃ - 2x₄ = 0

x₂ = x₃ + 2x₄

so now replacing values of x₁ , x₂ in the vector matrix

[tex]\left[\begin{array}{cccc}-x3\\x3 + 2x4\\x3\\x4\end{array}\right][/tex]

we can write the above matrix as,

[tex]x3\left[\begin{array}{cccc}-1\\1\\1\\0\end{array}\right][/tex] [tex]+ x4\left[\begin{array}{cccc}0\\2\\0\\1\end{array}\right][/tex]

therefore we can say that above mentioned vector matrices are the basis of the null space of matrix A

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Eric recorded the number of automobiles that a used car dealer in his town sold in different price ranges. From the Histogram given, what is the number of cars sold for the price range of $4000 to $4999? A. 15 B. 20 C. 30 D. 50

Answers

The correct answer is option A which is the number of cars sold for the price range of $4000 to $4999 will be 15.

What is a histogram?


A histogram is a graph for the representation of the data on the plot of the rectangular boxes. It has the data sets on the horizontal and the vertical axes.

As we can see from the histogram data we will conclude that the price range of $4000 to $4999 is shown by the third block and this third block reaches the height of 15.

Therefore the correct answer is option A which is the number of cars sold in the price range of $4000 to $4999 will be 15.

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Need answers asap please

Answers

The inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

a(n) =  3n - 30

To find make subject n and solve

a(n) + 30 = 3n

[tex]\rm n = \dfrac{a(n) + 30}{3}[/tex]

Plug n = n(a) and a(n) = a

[tex]\rm n(a) = \dfrac{a + 30}{3}[/tex]

Thus, the inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.

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A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.

What is the length of the bedroom in the scale drawing?

3/4 11/12 5/3

Answers

multiply the actual length by the scale:

9 x 1/12 = 9/12 = 3/4


Answer: 3/4

Which statements are true? Select three options O The line x = O is perpendicular to the line y = -3 O All lines that are parallel to the y-axis are vertical lines. O All lines that are perpendicular to the x-axis have a slope of O. O The equation of the line parallel to the x-axis that passes through the point (2, -6) is x = 2. O The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1

Answers

The statements which are true among the answer choices are;

The line x = O is perpendicular to the line y = -3.All lines that are parallel to the y-axis are vertical lines.

Which statements among the answer choices are true?

In the concept of straight line graphs (linear graphs) the statements are evaluated as follows;

The line x = O is perpendicular to the line y = -3. - This is true because the former is a vertical line while the latter is horizontal.

All lines that are parallel to the y-axis are vertical lines. - True, because the y-axis itself is a vertical line.

All lines that are perpendicular to the x-axis have a slope of O. - False, because all lines perpendicular to the X axis are vertical lines and have do not have slope 0.

The equation of the line parallel to the x-axis that passes through the point (2, -6) is x = 2. - False, because a line parallel to the x-axis is defined by y.

The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1. - True.

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Which of the following are characteristics of the graph of the square root
parent function? Check all that apply.

Answers

Answer:

C.  It is in Quadrant I

D.  It starts at the origin

Step-by-step explanation:

Parent function:  [tex]f(x)=\sqrt{x}[/tex]

Domain: set of all possible input values (x-values)

As the square root of a negative number does not exist in the set of Real Numbers, the domain for the parent function is:

Solution:  x ≥ 0Interval notation:  [0, ∞)

Range: set of all possible output values (y-values)

As the domain of the parent function is x ≥ 0, the range will be:

Solution:  f(x) ≥ 0Interval notation:  [0, ∞)

As the range and domain both begin at zero, the graph of the parent function starts at the origin (0, 0).

Quadrant: a region of the Cartesian plane formed when the x-axis and y-axis intersect each other.

Quadrant I:  (x, y)

Quadrant II:  (-x, y)

Quadrant III: (-x, -y)

Quadrant IV:  (x, -y)

Therefore, as the range and domain of the parent function are positive, the graph is in Quadrant I.

Evaluate tan5π. 0 1 -1 undefined

Answers

Step-by-step explanation:

[tex] = \tan(5\pi) [/tex]

[tex] = \tan(\pi + 4\pi) [/tex]

[tex] = \tan(\pi) [/tex]

[tex] = \tan(180 \degree) [/tex]

[tex] = 0[/tex]

The answer is A.

1
2
3
5
10
Two runners are saving money to attend a marathon.
The first runner has $110 in savings, received a $45 gift
from a friend, and will save $25 each month. The
second runner has $50 in savings and will save $60
each month.
After how many months will both runners have the
same amount of money?
02
O 3

Answers

Answer:

3 months

Step-by-step explanation:

The first runner: $110 + $45 = $155 starting out, plus 25x for $25 each month.

The second runner: $50 starting out, plus 60x for $60 each month.

To find out when both runners have the same amount of money, we will set the expressions equal to each other and solve.

155 + 25x = 60x + 50

105 = 35x

x = 3

Brainliest, please :)

Which of the following statements is true?

Answers

Answer:

Last choice, [tex]\sqrt{15}[/tex] is irrational and [tex]\sqrt{0.001}[/tex] is rational

Step-by-step explanation:

Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers, ex. 0.4

Irrational Numbers: A type of real number which cannot be represented as a simple fraction (non ending decimal), ex. 0.4161446

[tex]\sqrt{15} = 3.8729[/tex] making it irrational

First and third choice are INCORRECT as they state its rational

[tex]\sqrt{0.001} = 1/1000[/tex] making it rational

Second choice is INCORRECT as they state its irrational

Hence, the last choice is correct

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Find the value of JN in the figure. ​

Answers

Answer:

JN = 32

Step-by-step explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JM}{JK}[/tex] = [tex]\frac{JN}{JL}[/tex] ( substitute values )

[tex]\frac{24}{33}[/tex] = [tex]\frac{JN}{JN+12}[/tex]

[tex]\frac{8}{11}[/tex] = [tex]\frac{JN}{JN+12}[/tex] ( cross- multiply )

11 JN  = 8(JN + 12)

11 JN = 8 JN + 96 ( subtract 8 JN from both sides )

3 JN = 96 ( divide both sides by 3 )

JN = 32

Find the area.
8 in
19 in
13 in
1976 in²
205 in²
128 in²
104 in²

Answers

Total area = 104+24 = 128 sq.in ,  Option C is the right answer.

The missing figure is attached with the answer.

What is Area ?

The space occupied by a two dimensional figure is called Area.

The figure given in the question can be divided into two figure

A rectangle of 8 * 13 inch

and a triangle of 8 * 6 inch

The area of a rectangle is given by

Length * Breadth

8 * 13

= 104 sq.inch

The area of the triangle is given by

(1/2) * base * height

= (1/2) * 8 * 6

= 24 sq.inch

Total area = 104+24 = 128 sq.in

Therefore Option C is the right answer.

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The price of a Delta airline ticket from Los Angeles to Boston increased to $440. This is a 15% increase. What was the old fare?

Answers

Answer: 374 is the old fare of the ticket form Los Angeles To Boston!!

Explanation: you would have to divide the $440 which is your right now price with the 15% increase that was put so then you would find out the actual number of how much was added which comes out to be( $66)!!

Hope this helps!!^^^^

Jim takes a piece of plywood that is 45 centimeters long and uses a table saw to make a 53-
centimeter cut from corner to opposite corner. What was the width of the piece of plywood?
centimeters

Answers

Answer:

28 cm

Step-by-step explanation:

The corner to corner cut is a hypotenuse. We know one leg, 45cm. So use Pythagorean theorem to solve for the other leg. See image.

Tickets for a soccer game cost $5 for students and $8 for adults. the number of students was 7 less than 11 times the numbers of adults. the amount of the money from tickets was 3682 how many of each tickets were sold?tichets

Answers

The number of students will be 642 and the number of the adults will be 59.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

Tickets for a soccer game cost $5 for students and $8 for adults.

The number of students was 7 less than 11 times the numbers of adults.

The amount of the money from tickets was 3682.

Let x be the number of students and y be the number of the adults.

Then the equation will be

x = 11y – 7  …1

5x + 8y = 3682 …2

From equation 1 and 2, we have

5(11y – 7) + 8y = 3682

55y + 8y – 35 = 3682

                63y = 3717

                    y = 59

Then the value of x will be

x = 11 × 59 – 7

x = 642

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Which of the following excerpts from The American Crisis is an example ofan aphorism?A. However, the fault, if it were one, was all our own.B. If there must be trouble, let it be in my day, that my child may havepeace.C. Mutual fear is the principal link in the chain of mutual love.D. I call not upon a few, but upon all; not on this state or that state,but on every state. What did president Roosevelt say about the American people Which of the following best describes a mixture? A. A substance that results when another substance is separated into its component parts B. A substance composed of two or more elements chemically combined C. A substance that results when two or more substances combine physically but not chemically D. A particle consisting of two or more atoms chemically combined determine if x-3 is a factor of f(x)=x^3-x^2-5x-3 how did idealism help the united states Based on the myths "The Maori: Genealogies and Origins in New Zealand and "The Raven and the First Men: The Beginnings of the Haida, one way the Maori culture most differs from the Haida culture is that the Maori culture if someone could please help that would be great!Please graph it!!! What volume of a 4.13 M lithiumnitrate solution would be needed tomake 195 mL of a 1.05 M solutionby dilution?[?] L LINO3Ill give u 100 points if ur answer is correct Destruction of rainforests in Braziland Southeast Asia makes thesoilto erosion. A. immuneC. susceptibleB. resistantD. unsusceptible Find g(32) for g(x) = x+4.A. 3B. 5C. 6D. 10 What is one of the ways the atmosphere recycles gases through interactions with the biosphere?Through the usage of nitrogen and the release of oxygen into the atmosphere from plants.Though the process of photosynthesisThrough available sunlight release oxygen into the atmosphere.The mineral content in the ground that plants rely on release carbon dioxide into the atmosphere. any 5 family resources? A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. The pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck? 1. Both of the readings for this week discuss dynamics of agrarian change due to 1) social factors (the move from household production to wage labor and the integration of agriculture into world markets) and 2) technological forces (science, machinery, external inputs like fertilizers and pesticides, and plant breeding) and the consequences for agrarian societies who rely directly on land for their subsistence. What connections do you see between the two readings Write x^2+5x-7 in the form (x+a)^2+b. Select the correct answer from each drop-down menu. juan picks up a steel utensil and immediately drops it because its extremely hot. how does the reflex arc work to protect juan from a worse burn? in a reflex arc, the neuron carries the action potential from the . Solve using a formula. Please don't guess, I would like professionals to take a look A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m5 + m3 = m4 m3 + m4 + m5 = 180 m5 + m6 =180 m2 + m3 = m6 m2 + m3 + m5 = 180 cyber vulnerabilities to dod systems may include Which of these men held a monopoly in the oil industry?O A. Andrew CarnegieOB. William McKinleyOC. John D. RockefellerO D. Cornelius Vanderbilt