Mathematics High School

Use the quadratic formula to determine the exact solutions to the equation.

x^2−2x−4=0



Enter your answers in the boxes.

x=__ or x=___

Answers

Answer 1
Answer:  " x = 1  + √5 " or " x = 1 − √5" .
______________________________________________________
Given:
______________________________________________________

   " x² − 2x − 4 = 0 " ;
______________________________________________

Solve for "x" by using the "quadratic formula" :

Note:  This equation is already written in "quadratic format" ; that is:

  " ax² + bx + c = 0 " ;  { "a [tex] \neq [/tex] 0" } ;

in which:   "a = 1" {the implied coefficient of "1" ;
                         since "1", multiplied by any value, equals that same value};

                 "b = -2 " ;

                 "c = -4 " ;
_______________________________________________________
The quadratic equation formula:

x = { - b ± √(b² − 4 ac) } / 2a ;   {"a[tex] \neq [/tex]0"} ;
______________________________________________________
Substitute our known values:
______________________________________________________

   →  x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ; 

       →  x  = { 2 ± √(4 − 4(-4) } / 2 ; 

       →  x  = { 2 ± √(4 − (-16) } / 2 ;

       →  x  = { 2 ± √(4 + 16) } / 2 ;

       →  x  = { 2 ± √(20) } / 2 ;

       →  x  = { 2 ± √4 √5} / 2 ;

       →  x  = { 2 ± 2√5} / 2 ;

       →  x = 1 ± √5 ; 

_______________________________________________________
→  "x = 1 + √5"  or  "x = 1 − √5" .
_______________________________________________________

Related Questions

Describe how to find linear expressions for the possible dimensions of a rectangular prism with a volume of 8k^3 +26k^2+ 6k.

Answers

8k ^ 3 + 26k ^ 2 + 6k
 For this case, the first thing you should do is rewrite the expression.
 We have then:
 Step 1:
 Take out common factor.
 8k ^ 3 + 26k ^ 2 + 6k
 2k * (4k ^ 2 + 13k + 3)
 Step 2:
 Factor quadratic expression.
 2k * (4k ^ 2 + 13k + 3)
 2k * (4k + 1) * (k + 3)
 Answer:
 to find linear expressions for the possible dimensions of a rectangular we rewrite the expression:
 2k * (4k + 1) * (k + 3)

A quadrilateral has angles that measure 71°, 74°, 113°, and x°. What is the measure of x?

Answers

The answer would be 360 minus 258 because 71 plus 74 and 113 is 258 and you have to minus that by 360



Bascially for answer 360-258
IT would be 360-258 that is the answer to your question

Which of the following best explains why one graph appears skewed and one graph appears symmetric?



The intervals on the x-axis of the histogram are too large.

The interval on the y-axis of the histogram is too small.

The interval on the x-axis of the histogram is inconsistent.

The interval on the box-and-whisker plot is too small.

Answers

Hello there!

The interval on the X-Axis of the Histogram is inconsistent:

An Histogram is a graphic representation of the frequency of values. It should include all the data range on the x-axis. In this case, the x-Axis should include all intervals from 0 to 24 years, but in the graph the intervals "jump" from 10-14 to 20-24.

This inconsistency causes the difference between the two graphics because the two of them should be skewed to the left, according to the age distribution.  

Answer:

The interval on the X-Axis of the Histogram is inconsistent

Step-by-step explanation:

edge

Are elite runners thinner than the average person? Devon thinks that skin thickness of elite runners is thinner than the average person. He compares a data set of elite runners to regular people by looking at the skin thickness. Which statement correctly compares the two groups?
A) The skin thickness of the elite runners varied by about 11 mm.
B) The skin thickness of the average person varied by about 11 mm.
C) The skin thickness of elite runners is on average about 11 mm thinner than that of the average person.
D) The skin thickness of the average person is on average about 11 mm thinner than that of the elite person.

Answers

The answer is C.
I hope it's right!!!!

Answer:

c is the answer

Step-by-step explanation:

Which of the following statements is always true?

A: All rational numbers are whole numbers.

B: All real numbers are rational numbers.

C: All irrational numbers are real numbers.

D: All square roots are irrational numbers.

Answers

Hi!

The correct answer is B: All real numbers are rational numbers. 

Hope this helps!

Answer:

b

Step-by-step explanation:

took the test got it right

Find an equation for the circle that has center (−1, 4) and passes through the point (3, −5).

Answers

The correct answer for the equation of the circle with center (-1,4) and passes through point (3,-5) is   [tex](x+1)^2 + (y-4)^2 = 97[/tex].

Given Co-ordinates:

Centre:

(-1,4)

Point of intersection:

(3,-5)

The standard equation of circle with center (h, k) is:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

(h, k) are co-ordinates of center

Given in question:

h= -1

k = 4

Find radius of the circle:

distance between the center(-1,4) and the given point (3, -5).

[tex]r = [\sqrt{(x_{2}- x_{1})^2 + (y_{2}- y_{1})^2 }[/tex]

[tex]r = [\sqrt{((3- (-1))^2 + (-5-4)^2 }[/tex]

[tex]= \sqrt{(4)^2 + (-9)^2 }[/tex]

[tex]= \sqrt{16 + 81}[/tex]

[tex]= \sqrt{97}[/tex]

Now, Equation of circle:

[tex](x-(-1))^2 + (y-4)^2 = (\sqrt{97})^2[/tex]

[tex](x+1)^2 + (y-4)^2 = 97[/tex]

The equation of circle is [tex](x+1)^2 + (y-4)^2 = 97[/tex].

Learn more about Equation of circle here:

https://brainly.com/question/29288238

#SPJ4

Final answer:

The equation of the circle with center (-1, 4) and passing through the point (3, -5) is (x + 1)² + (y - 4)² = 97.

Explanation:

The subject of this question is geometry, specifically about the equations of circles. We start by noting that the general equation of a circle is (x-h)² + (y-k)² = r², where (h, k) are the coordinates of the circle's center and r is the radius of the circle.

Here, the center of the circle is at (-1, 4). We don't know the radius yet, but we know that the circle passes through the point (3, -5). The radius is the distance from the center of the circle to any point on the circle. We can find this using the distance formula which is d = sqrt[(x₂ - x₁)² + (y₂ - y₁)²].

Substituting the given points into the distance formula, we get: r = sqrt[(3 - (-1))² + (-5 - 4)²] which simplifies to r = sqrt[(4)² + (-9)²] = sqrt[16 + 81] = sqrt[97].

Now we can write the equation of the circle, substituting the center and radius values into the equation. This gives us: (x - (-1))² + (y - 4)² = sqrt[97]² which simplifies to (x + 1)² + (y - 4)² = 97.

Learn more about Equations of Circles here:

https://brainly.com/question/29288238

#SPJ11

Describe the number and type of roots for the polynomial (how many real and complex?). x3 + 5x2 – 4x – 2 = 0

Answers

Descartes' rule of signs tells you the one sign change in the coefficients means there's one positive real root. If you change the sign of the odd-power terms, the signs become -++-, so have two sign changes. This means there are 0 or 2 negative real roots.

A graph shows there to be 3 real roots, two of which are negative. Thus there are no complex roots.

Solve the equation using square roots. x2 + 10 = 9

A. Plus or minus the square root of 1.

B. no real number solutions

C. 1

D. –1


Answers

[tex] x^2 + 10 = 9 [/tex]

Subtract 10 from both sides.

[tex] x^2 = -1 [/tex]

Since the square of a number, x, equals a negative number, -1, the answer cannot be a real number because the square of a real number is always non-negative. Therefore, there is no real number solution to this equation.

Answer: B. no real number solutions

Answer:

no real number solutions

Step-by-step explanation:

What is the sum of a 6-term geometric series if the first term is 23 and the last term is 1,358,127? 1,395,030 1,461,460 1,527,890?

Answers

The common ratio is (1358127/23)^(1/5) = 9.
The sum of 6 terms is
.. 23*(9^6 -1)/(9 -1) = 1,527,890 . . . . . . . . . . selection 3

Answer:

Last term is 1,527,890.

Step-by-step explanation:

In this question a geometric series has been given  with

first term A = 23

6th term     = 1,358,127

Number of terms n = 6

we have to calculate the sum of this geometric series

we know [tex]T_{n}=a(r)^{n-1}[/tex]

[tex]T_{6}=23.(r)^{6-1}=1358,127[/tex]

[tex]r^{5}=\frac{1358127}{23}=59049[/tex]

[tex]r = 59049^{\frac{1}{5} }[/tex]

r = 9

Now we know the formula to sum a geometric series is

[tex]S=a.\frac{r^{n-1} }{r-1}[/tex]

S = 23 × [tex]\frac{(9^{6-1)} }{(9-1)}[/tex]

S = 23 × [tex]\frac{(531441-1)}{8}[/tex]

S = [tex]\frac{23.(531440)}{8}[/tex] = 23 × 66430

S = 1,527,890

 

A sample has a mean of m = 90. if each score in the sample is multiplied by 5, then what is the mean for the new distribution?

Answers

In the sample has a mean of m=90 and each score in the sample is multiply by 5 and you want to calculate the mean for the new distribution, you only have to multiply the mean (m=90) by 5.
 
 Then:
 
 m= 90x5
 m=450
 
 Therefore, the answer is: The mean for the new distribution is 450 (m=450).

Final answer:

When each score in a sample is multiplied by a constant, the mean of the new distribution will also be multiplied by that constant, resulting in a new mean value of 450.

Explanation:

The mean of a sample is a measure of the average value of the data points in that sample.

When each score in a sample is multiplied by a constant, like 5 in this case, the resulting mean of the new distribution will also be multiplied by that constant.

In this scenario, since each score is multiplied by 5, the mean of the new distribution will be 5 times the original mean, giving a new mean of 450.

I need help on how to convert the radian into degrees for 7pi/10 !!

Answers

Each pi has 180° in it. So, if you multiply:
[tex] \frac{7}{10} \pi * \frac{180}{\pi}= 126 [/tex]

We divide by pi to get rid of it because we want the answer in degrees:
So your answer is 126°.

marion is making trail mix for a group camping trip. she buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 a pound. what equation can you use to find the price per pound of the trail mix?

Answers

let
x-------------> pounds of granola-----------> $3 per pound
y-------------> pounds of raisins-----------> $2 per pound
z------------ > price per pounds of the trail mix

we have that
z=3x+2y--------------------- > this is the equation

for x=3 pounds of granola and y=0.75 pounds of raisins
z=3*3+2*0.75=$10.5 of trail mix

It's B on edg. 3(3) + 0.75(2) = (3 + 0.75)x

Randy bought a zero coupon bond and a TIPS 5 years ago for $2,500 each. Both had 10 years to maturity. The TIPS's coupon was 2% while the zero coupon bond will be redeemed for $3,000. What should the maximum real value of his bonds be if he tries to sell them today? Select the best answer from the choices provided. $250 $750 $5,250 $5,750

Answers

So, we have that the final value of the zero coupon bond after ten years will be 3000$. The TIPS mature after 10 years, but the interest will be calculated only for 5 years. Each year of interest, the TIPS gains 2%*2500=2*25=50$. Hence the TIPS gains 50$ for each year of interest. Since the interest is not compounding, it will gain 5*50=250$ in value. Hence its total value after ten years is 2500+250=2750$. The total maximum value of the two assets combined is 3000+2750=5750$ and it is attained after 10 years. If one things that money is more important now than in 10 years, the assets could be sold at a lower price; nonetheless their max value never exceeds choice d)=5.750$

What is the greatest common factor of the polynomial's terms? 14a3b4−7ab7+21a2b

Answers

The Answer is 7(ab).

I did the quiz.

Answer: 7ab

Step-by-step explanation:

The given polynomial : [tex]14a^3b^4-7ab^7+21a^2b[/tex]

The terms of the above polynomial can be written as :

[tex]14a^3b^4=(7\times2)a^{2+1}b^{3+1}=(7\times2)a^2(a)b^3b\\\\-7ab^7=-7ab^{6+1}=-7ab^6(b)\\\\21a^2b=(7\times3)a^{1+1}b=(7\times3)a(a)b[/tex]

Now, we can see that the greatest common factor of the polynomial's terms= [tex]7ab[/tex]

How to estimate the square root of a number that is not a perfect square?

Answers

To estimate the square root of a number that is not a perfect square, you would find the perfect squares that the number is between and you know the square roots of those, so the answer will be somewhere between them. The closer you are to the number below the number you are estimating for, the smaller the decimal (_.1, _.2, etc.) and then it is opposite as you get closer to the number above the number you are estimating for.

What is the question

Answers

To solve for this problem, we need to combine like-terms. Let's list our current variables:
2x - 2y - 5y + 5z - 2x - y + 3z; now, we need to list like-terms together and simplify.
2x - 2x; 0
2y - y; -3y
5z + 3z; 8z

Now, let's put this into an expression;
-3y + 8z.

From our answer choices in the image above, the last option "D.) -3y + 8z" is the correct answer.

I hope this helps!

The marketing department of a sports supply store wants to estimate the percentage of adults in the town who belong to a gym.

Which statement describes a method that will help the marketing department accurately estimate this percentage?

A)Select the store’s first 20 customers every day for one week, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”

B)Take a random sample of adults at the local park, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”

C)Take a random sample of adults in the town, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.

D)Take a random sample of the store’s adult customers, and ask what percentage of their friends belong to a gym. Calculate the mean of the responses.

Answers

A) If you only sample people in a sports supply store, your sample will be biased.  People in a sports supply store are more likely to be people that belong to a gym.
B) While it does not have necessarily the same amount of bias as sampling people in the sports supply store, people that go to a park are generally more likely to be people that exercise or have a gym membership.
C) Taking a random sample of people in town is a good way to get a non-biased sample.  They are not necessarily predisposed to answer your question one way or another.
D) For the same reason as choice A, this is a biased sample.

C is the best choice.

Find the area of the shaded region?

Answers

10 x 12 = 120
3 x4 = 12
4x 1 = 4
120 - 12 = 108
108-4 = 104 square feet

HELP!!!!!!!!!!!!!
To solve the equation 3x−2=4x−1 , Veronica graphs the functions f(x)=3x−2 and g(x)=4x−1

on the same set of coordinate axes.

Which statement describes the solution of the equation ​ 3x−2=4x−1?


(A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

(B) The solution of the equation cannot be found graphically. Veronica should solve the equation algebraically.

(C) The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect.

(D) The solution of the equation is the y-intercept of the linear equations.

Answers

we have that

f(x)=3x-2

g(x)=4x-1

 

3x-2=4x-1-------------> 4x-3x=-2+1--- > x=-1

find the value of f(x) or g(x) for x=-1

f(x)=3x-2 ------->  f(-1)=3*(-1)-2 ------> f(-1)=-5

the solution is the point (-1,-5)

 

using a graph tool

see the attached figure

 

the answer is 

case (A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

One leg of a right triangle measures 8 inches and the hypotenuse 17 inches. determine the length of the other leg.
a. 9 inches
b. 13 inches
c. 15 inches
d. 17 inches

Answers

the length of the other leg is 15 inches

The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 18 millimeters. The diameter is 7 millimeters. Which choice is the best approximation of the total surface area of the capsule? Use 3.14 to approximate pi.

Answers

396 square millimeters

Answer:396

Step-by-step explanation:


Solve the system of equations using the substitution method.

{4x+5y=7
{y=3x+9



Enter your answers in the boxes.

x=


y=

Answers

        4x+5y=7
         y=3x+9

1)      4x+5(3x+9)=7                 2)        y=3(-2)+9
                                                             y= -6 +9 
         4x+15x+45=7                               y=3                                                     
         19x+45=7
          19x= -38
             x= -2
x is -2 and y is 3

Which of the following data sets represents a positive correlation?



A
B
C

Answers

B as you can see the points go upwards as they go across :) Hope this helps!
B)
It is B) because the y-value is increasing as the x-value is increasing.

what is the product (7x^3y^3)(3x^5y^8)

a)10x^5y^15
b)10x^10y^24
c)21x^7y^11
d)21x^10y^24

Answers

You have studied polynomials consisting of constants and/or variables combined by addition or subtraction. The variables may include exponents. The examples so far have been limited to expressions such as 5x4 + 3x3 – 6x2 + 2x containing one variable, but polynomials can also contain multiple variables. An example of a polynomial with two variables is 4x2y – 2xy2 + x – 7.

 

Many formulas are polynomials with more than one variable, such as the formula for the surface area of a rectangular prism: 2ab + 2bc + 2ac, where a, b, and c are the lengths of the three sides. By substituting in the values of the lengths, you can determine the value of the surface area. By applying the same principles for polynomials with one variable, you can evaluate or combine like terms in polynomials with more than one variable.

The product of (7x²y³) and (3x⁵y⁸) is obtained by multiplying the coefficients and adding the exponents of like terms, resulting in c) 21x⁷y¹¹.

To find the product of the two algebraic expressions (7x²y³) and (3x⁵y⁸), we simply multiply the coefficients and add the exponents of corresponding variables:

Multiply the coefficients: 7 * 3 = 21

Add the exponents of x: x² * x⁵ = x²⁺⁵ = x⁷

Add the exponents of y: y³ * y⁸ = y³⁺⁸ = y¹¹

Therefore, the product is 21x⁷y¹¹, which corresponds to option (c).

You earn $10 a week for doing chores, and you have just been paid for completing eight weeks of chores. If you were paid $8 a week doing chores, how many weeks would it take to earn the same amount of money? weeks

Answers

10 weeks, 8 times 10 is 80
It would take 10 weeks.

Mrs. Smith and her daughter Laura want to learn ballet. The cost of beginning ballet classes for kids is $3,200 per year, and it increases by 2% every year. The cost of beginning ballet classes for adults is $4,800 per year, and it increases by 2.7% per year. Which function can Mrs. Smith use to determine the total cost of their ballet classes, T(x), after x years?

Answers

We will set up two functions to begin with:  C(x) for children and A(x) for adults.  T(x) will be the total, and T(x) = C(x) + A(x).
Since it increases by a percentage every year we will use an exponential function.
C(x) = 3200(1+0.02)ˣ.  This comes from the $3200 for the first year, and 2% increase every year is 0.02.  Add this to 1 because we have all of the first year's cost, 100%, and the additional 2%.
A(x) = 4800(1+0.027)ˣ.  This comes from the $4800 for the first year, and 2.7% increase every year is 0.027.  Add this to 1 because we have 100% of the first year's cost with an additional 2.7%.
T(x) = 3200(1+0.02)ˣ+4800(1+0.027)ˣ=3200(1.02)ˣ+4800(1.027)ˣ

helpppppppppppppppppppppppp

Answers

Answer:
1 / 4x

Explanation:
(4x^3) * (2x)^-4 = 4x^3 * 2^-4 * x^-4
                         = (4x^3) / (2^4 * x^4)
                         = (1/4) * (1/x)
                         = 1 / 4x

Hope this helps :)
First we rewrite the expression:
 (4x ^ 3) * (2x) ^ - 4
 Using properties of exponents we have:
 (4x ^ 3) / (2x) ^ 4
 Rewriting:
 (4x ^ 3) / 16x ^ 4
 (x ^ 3) / 4x ^ 4
 (1) / (4x)
 answer:
 An equivalent expression is:
 (1) / (4x)
 option 1

(Please Answer Quickly)
Algebra 2 Question! I will make sure to give a medal and pin the most helpful answer!

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola. The equation for this parabola is y = -x^2 + 36. (Graph of a parabola opening down at the vertex (0,36) crossing the x–axis at (-6,0) and (6,0))
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.
 Analyze the two functions. Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents. Is the linear function you created with your table positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent.
Create your own piecewise function with at least two functions. Explain, using complete sentences, the steps for graphing the function. Graph the function by hand or using a graphing software of your choice.


Answers

For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    


"What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
[tex]y=a x^{2} +b[/tex]
Depending on sign of [tex] x^{2} [/tex] the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-[tex] x^{2} [/tex]+36
[tex] x^{2} =36 \\ x_{1} =-6 \\ x_{2} =6[/tex]

"Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x ∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

The sum of three numbers is 12. The first number is the difference of the other two numbers. When you add the other two numbers and subtract 8, the result will be the first number. Find the numbers.

2, 4, 6

2, 5, 5

3, 7, 2

5, 10, -3

Answers

The first group of numbers: 2, 4, 6

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

We can solve this question with an equation. Knowing that the numbers in the sequence are EVEN, we know that they are two apart. So...

x + (x+2) + (x + 4) + (x + 6) + (x + 8) = 310

Combine like terms and you'll get this:

5x + 20 = 310

Using subtraction of equality:

5x = 290

Using division of equality:

x = 58

NOW, the question isn't asking for the value of x but the value of the 3rd number in the sequence. Go back to the original equation and plug in x to the 3rd number.

the 3rd number = x + 4 = 58 + 4 = 62

Voila! Hope this helps!

Other Questions
NEED ASAP WILL GIVE 33 POINTS AND BRAINLEST What type of energy transformation takes place when carbon is cycled in a gasoline-based car? Thermal energy to thermal energy Chemical energy to chemical energy Thermal energy to mechanical energy Chemical energy to mechanical energy solve the following question: |x|=3/4 Ovulation tends to occur _____ of the menstrual cycle. within the first week near the midpoint at the end on the first day what is meant by high air pressure The most common assessment technique used to solicit a wide range of information about mental disorders is the An artist wants to reduce the size of a drawing using a scale factor of 3:13:1 . The original drawing has an area of 720 square inches. What is area of the new drawing? Enter your answer in the box. List five character traits or imagery words for okonkwo how did a free enterprise system aid the growth of the united states ? Explain how you can use a model to find 4X 3/8. Include a drawing and a solution Through which port did most immigrants enter the United States On average how many years earlier do smokers die than nonsmokers? 5 to 610 to 1113 to 1419 to 20 45 "Sounds like the 'Arabian Nights'.", said Mrs. White, as she rose and began to set the supper. "Don't you think you might wish for four pairs of hands for me." 46 Her husband drew the talisman from his pocket, and all three burst into laughter as the Sergeant-Major, with a look of alarm on his face, caught him by the arm. In lines 45 and 46, what figurative device does the author use to lighten the mood of the passage? A) alliteration B) characterization C) hyperbole Eliminate D) simile An inferior good is one for which _ _ in buyers income causes What are the three qualifications a person must meet to become president of the united states? !!!15 POINTS!!! A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. A girl floating in the ocean and watches 12 wave crests pass her in 46 s. Calculate the wave frequency and period? A leech attaches itself to the gums of a crocodile and sucks the crocodile's blood. Then, the crocodile opens its jaws so that an Egyptian Plover bird can kill and eat the leech. The relationship between the crocodile and the Egyptian Plover is an example of _______. A. parasitism B. commensalism C. mutualism D. predation give all of the possible numbers that could be hals mystery one-digit number Which statement describes Mendels hypotheses regarding gametes Describe how you would estimate the square root of a number that is not a perfect square without using a calculator. lets say n was the imperfect square number and the square root is w. the square root of n = n+w squared/ 2w.