Fireside Shop offers chimney caps for $120 less trade discounts of 25/10. The same chimney cap is being offered at Builder's Supply for $111 less trade discounts of 25/5. What is the price difference between the two companies?

Answers

Answer 1

The difference in price between the two companies is $81-$79.56 = $1.44

Fire side Shop

Price of Chimney cap =$120

First Discount = 25% of(120)=$30

Price after 1st Discount = $120-$30=$90

Second Discount = 10% of 90=$9

Price after 2nd Discount = $90-$9=$81

Builders' Supply

Price of Chimney Cap= $111

First Discount= 25% of 111 = $27.75

Price after 1st Discount = $111 - $27.75 = $83.75

Second Discount = 5% of $83.75 = $ 4.1875

Price after 2nd Discount = $83.75 - $4.1875 = $79.5625 ≈ $79.56

Therefore,

a) Builders supply offers the lower price.

b) Difference in price = $81-$79.56 = $1.44

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Related Questions

A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of
cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer:

300 cupcakes

Step-by-step explanation:

[tex]27 = .09c[/tex]

[tex]c = \frac{27}{.09} = \frac{2700}{9} = 300[/tex]

In total, the bakery sold 300 cupcakes on a certain day.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of cupcakes sold that day.

let, 'x' be the total number of cupcakes sold that day.

Therefore, 9% of 'x' is 27 which is,

(9/100)×x = 27.

0.09x = 27.

x = 27/0.09.

x = 300.

So, The number of cupcakes sold that day is 300.

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The ratio of the number of fiction book is 9:4, the different between the number of fiction and non fiction is 245

Answers

Answer:

Step-by-step explanation:

The ratio of the number of fiction books is 9:4

 the difference between the number of fiction and nonfictionn is 245

so if the number of fiction books = 9x

then the number of nonfiction books = 4x

then difference = 9x-4x = 5x

the difference is given 245

then 5x= 245

x=[tex]\frac{245}{5}[/tex]=49

number of fiction books =49×9=441

number of nonfiction books =49×4=196

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evaluate -5+(-3)^2+2

Answers

Answer:6

Step-by-step explanation:at first calculate (-3)^2=9

then 9+2=11

finally the answer is 11-5=6

Answer:

6

Step-by-step explanation:

Given Problem:

[tex]-5+(-3)^2+2[/tex]

Using the PEMDAS order of operation:

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Thus, Solving in parentheses first.

[tex]-5+(-3)^2+2[/tex]

[tex](-3)^2=9[/tex]

[tex]-5+9+2=[/tex]

[tex]-5+11=[/tex]

[tex]6[/tex]

Hence, the answer to [tex]-5+(-3)^2+2=6[/tex]

RevyBreeze

I will give BRAINLIEST! ANSWER FOR 30 Points !!!!
Pleasee look at picture

What is the frequency of the tangent function represented in the graph below?
Answer CHOICES:
1 , 4 , 3 , 2

Answers

Answer:

The answer is 3

Step-by-step explanation:

You can see that it recurs faster than usual for a tan curve so 1 is eliminated and it cant be 2 or 4 because it isnt recurring equally.

Please give brainliest

A variable is normally distributed with mean 6 and standard 2 deviation .
a. Find the percentage of all possible values of the variable that lie between 5 and 9.
b. Find the percentage of all possible values of the variable that exceed 1.
c. Find the percentage of all possible values of the variable that are less than 4.

Answers

The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.

What is a normal distribution?

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

A.) The percentage of all possible values of the variable that lie between 5 and 9.

P(5<X<9) = P(X<9) - P(5<X)

               = P(z<1.5) - P(-0.5<z)

               = 0.9332 - 0.3085

               = 0.6247

               = 62.47%

B.) The percentage of all possible values of the variable that exceed 1.

P(X>1) = 1 - P(X<-2.5)

          = 1-0.0062

          = 0.9938

          = 99.38%

C.) The percentage of all possible values of the variable that are less than 4.

P(X<4) = P(X <4)

           = P(z<-1)
           = 0.1587

           = 15.87%

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A
True
False
P
Given the diagram as marked.
True or False: P is on the angle bisector of A

Answers

Answer:

False

Step-by-step explanation:

P is not necessarily on the angle bisector of angle A.

Attached is an example of a carefully constructed shape (so that it's easy to see the measurements):

Angle A measures 45° (again, for convenience)Point P is 4 units to the right of and 3 units above point A.Point P forms a right angle with two congruent line segments, each of which terminate on the rays extending from Point A, forming angle A.The lower point is 8 units to the right of point A;  the upper point is 7 units to the right of and 7 units above point A.The length of the two line segments is 5 units, and thus they are congruent.

Visually, point P is not on the angle bisector of angle A.

While having two adjacent congruent segments is necessary for P to be on the bisector of angle A, it is not sufficient.  The segments on the rays from A to the end of those segments would also need to be a pair of congruent adjacent sides (forming a kite).  For a kite, the diagonal from the point between one pair of adjacent congruent sides to the point between the other pair of adjacent congruent sides does form an angle bisector with both angles.

Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two classes, and he took a total of 90 minutes Which value of k would cause the system of linear equations 35 x + 14 y = 119 and 5 x + 2 y = k to have an infinite number of solutions?
3
7
17
21

Answers

A system of the equation to be Dependent Consistent System the system must have multiple solutions. The correct option is C.

What is a System of equation?

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

For the system of equations to have infinite number of solutions, the lines of the equations must coincide, therefore, the line must overlap on each other.

For the lines to overlap the equations must be in a ratio. Therefore, the ratio of the left sides of the equations must be equal to the right side,

[tex]\dfrac{35x+14y}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac{7(5x+2y)}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac71 = \dfrac{119}{k}\\\\k = 17[/tex]

Hence, the value of k must be 17, therefore, the correct option is C.

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FInd the perimeter
14 3/4
4 1/2
8 1/2
10 2/5
10 2/5
12 4/5

Answers

The perimeter of the figure above is [tex]43\frac{22}{40} = 43\frac{11}{20}[/tex]

What is perimeter?

The perimeter of a shape is the sum of the whole sides.

Therefore, perimeter of the figure is the addition of the whole length.

Hence,

perimeter = [tex]14\frac{3}{4}+4\frac{1}{2}+8\frac{1}{2}+10\frac{2}{5}+10\frac{2}{5}+12\frac{4}{5}[/tex]

let's convert to improper fraction for easy calculation.

Hence,

perimeter = [tex]\frac{59}{4}+\frac{9}{2}+\frac{17}{2}+\frac{52}{5}+\frac{52}{5}+\frac{64}{5}[/tex]

perimeter = [tex]\frac{590+180+340+60+60+512}{40} =\frac{1742}{40} = 43\frac{22}{40}[/tex]

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A polynomial-function has −5+√3 as a root. Which of the following must also be a root of the function?
O-5-√√3
0 -5+√√√31
05-√√√31
0 5+√√31

Answers

Answer:

First option.

Step-by-step explanation:

In ABC, m<2=70 and m

Answers

The measure of the third angle in the ΔABC is 70 degrees

Complete question

In ΔABC, m∠2 = 70 and m∠1 = 40, find the measure of all third angle of ΔABC.

How to determine the third angle?

The given parameters are:

m∠2 = 70

m∠1 = 40

The sum of angles in a triangle is:

m∠1 + m∠2 + m∠3 = 180

So, we have:

70 + 40 + m∠3 = 180

Subtract 110 from both sides

m∠3 = 70

Hence, the measure of the third angle in the ΔABC is 70 degrees

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How do you solve 32-34?

Answers

You take 34 away From 32 and get -2

Answer:

32. {-4, 1, 2, 12}

33. {2, 6, 9, 31, 65}

34. No

Step-by-step explanation:

32. The domain of a relation is the set that contains all the x-coordinates of all the ordered pairs of the relation.

domain = {-4, 1, 2, 12}

33. The range of a relation is the set that contains all the y-coordinates of all the ordered pairs of the relation.

range = {2, 6, 9, 31, 65}

34. No since the same number, 2, appears twice as an x-coordinate. In a function, no two ordered pairs can have the same x-coordinate.

63, 58, 57, 71, 54, 60 Calculate the coefficient of variation for the following data

Answers

Answer:

The coefficient of variation (CV)= 9.83

Step-by-step explanation:

look at the attachment above ☝️

If g(x) = 2^x were shifted 7 units to the right and 3 units down, what would be the new equation?

Answers

H(x) = 4(x - 7)^2 - 19

Hope you find it usefull

Identify each of the following as rational or irrational

√23
104.42
√64
49.396
10.97846727460

Answers


√23-irrational
104.42-rational
√64-irrational
49.396-rational
10.97846727460-rational

Answer:

1-irrational 2-rational 3-rational 4-rational 5-irrational

Step-by-step explanation:

Sum, difference, and product..help!

Answers

The sum of the function will be (r – s)(x) = –2x² + x – 3, The difference of the function will be (r – s)(x) = –2x² + x – 3, and The product of the function will be (r × s)(x) = 2x³ – 6x².

The complete question is attached below.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The functions are given below.

r(x) = x – 3

s(x) = 2x²

The sum of the function will be

(r + s)(x) = x – 3 + 2x²

(r + s)(x) = 2x² + x – 3

The difference of the function will be

(r – s)(x) = (x – 3) – 2x²

(r – s)(x) = –2x² + x – 3

The product of the function will be

(r × s)(x) = (x – 3) (2x²)

(r × s)(x) = 2x³ – 6x²

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What is 9 lbs 6 oz converted to ounces?

Answers

Answer:

150 ounces

Step-by-step explanation:

Suppose that you borrow $30,000 for four vears at 8% for
the purchase of a car. Find the monthly payments and the
total interest for the loan.

Answers

Answer:

$41269.983

rounded:

$41,269.98

Step-by-step explanation:

well you begin with the equation a=p(1+r/n)[tex]^{nt}[/tex]

so 30,000(1+0.08/12)to the power of 4 times 12

when you plug all of that in a calculator your receive $41269.983

Use the compound interest formula to solve this problem.

$41,269.98. is the total

The total interest is 11269.98

Monthly payment is 859.79125

41,269.98 divided by 4 is 10317.495
10317.495 divided by 12 is 859.79125
859.79125 times 4 is 41269.98

Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwiches and veggie wraps in the first hour of business. Let x represent the number of turkey sandwiches and y represent the number of veggie wraps. The inequality 2.50x+3.50y30 represents the food sales in the first hour.

If Ben has sold 4 veggie wraps, what is the maximum number of turkey sandwiches Ben could have sold?

Answers

The maximum number of turkey sandwiches Ben sold is 6.

What is the maximum number of turkey sandwiches Ben sold?

Given this equation : 2.50x + 3.50y ≤ $30

If y is 4, take the following steps in order to determine the value of x:

Substitute for y in the above equation:

2.50x + (3.50 x 4) ≤ $30

2.50x + 14 ≤ $30

2.50x ≤ $30 - 14

2.50x ≤ $16

x ≤ 6.4

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Answer:

6

Step-by-step explanation:

Solve x: 30 pts if u can figure it out and the first one that sounds right gets brainiest answer

3x+99x=1188

Is this even possible to work out????


Please dont just type random letters Bec then there’s just no point of u being on here.. and ur wasting ur time! So please think about it

Answers

Answer:

x = 99

Step-by-step explanation:

3x + 99x = 12x

12x = 1188 divide 1188 ÷ 12

x = 99

Answer is 11.6470588
You can round it if allowed to 11.6
Reason
First combine like terms
3x + 99x = 1188
102x = 1188
Now solve for x
Divide both sides by 102
X = 11.6470588

What are the approximate area and circumference, respectively, of a circle with a diameter of 30 inches?​

Answers

Solution:

[tex]\searrow[/tex]

Detailed explanation:

Here we need to find both the circumference and the area of a circle whose diameter is 30 in.

///\\\///\\\///\\\///\\\///\\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\\////\\\\///\\\///\\\///\\\///

                                   ⚜  Circumference

This is the formula that we use for the circumference. [tex]\large\texttt{$C=\pi d$}[/tex].

Here, C is the circumference,

[tex]\pi[/tex] is pi, *

d is the diameter

_____________

* The number pi is an irrational number. This means that no matter how hard we try, we cannot write this number as a fraction. The reason for that is: The number pi has never-ending digits after its decimal point.

To avoid getting never-ending numbers, we will use 3.14 for pi.

_____________

Alright, so now we just stick in the values.

[tex]\boldsymbol{C=3.14\cdot30}[/tex]

[tex]\boldsymbol{C=94.2\:inches}[/tex]

The circumference is successfully calculated.

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\\///\\\///\\\///\\\//\\//\/\/\/\//\///\\//

                                            ⚜ Area

This is the formula we will use to work out the area.

[tex]---\mapsto\boldsymbol{A=\pi r^2}[/tex]

Here,

A denotes the area

[tex]\pi[/tex] denotes pi

r denotes the radius (30/2=15, because the diameter is always two times the radius)

[tex]\large\boldsymbol{\therefore,\;the\;radius\;is\;15}[/tex]

Once again, it's just a matter of sticking in the values.

[tex]---\mapsto\boldsymbol{A=3.14\cdot15^2}[/tex]

NB:

Remember the Order of Operations!

P.E.M.D.A.S.

P=Parentheses

This operation tells us to evaluate all expressions in the parentheses first, if any are present.

E=Exponents

This one tells us to evaluate all expressions with exponents, if any are present.

M=Multiplication | D=Division

Unlike the two operations above, these two are completely interchangeable.

A=Addition | S=Subtraction

Like M and D, A and S are interchangeable.

_________________

Now let's simplify... According to P.E.M.D.A.S., we should square 15 first.

[tex]---\mapsto\boldsymbol{A=3.14\cdot225}[/tex]

Now, we need to multiply.

[tex]---\mapsto\boldsymbol{A=706.5\;square\;inches}[/tex]

If the center of a circle is at (5,-7)
and its radius is 6, complete its
equation:

Answers

The equation is:

(x-5)^2+(y-(-7))^2=36

I hope it helps!

Answer:  [tex]\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}[/tex]

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

Work Shown:

[tex](h,k) = (5,-7) = \text{center}\\\\r = 6 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - 5)^2 + (y - (-7))^2 = 6^2\\\\\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}\\\\[/tex]

Triangle U S T is shown. Angle U S T is 100 degrees. The length of U S is 9, the length of S T is 10, and the length of U T is s.
Which equation correctly uses the law of cosines to solve for the length s?

92 = s2 + 102 – 2(s)(10)cos(100°)
9 = s + 10 – 2(s)(10)cos(100°)
102 = s2 + 100 – 2(s)(10)cos(100°)
s2 = 92 + 102 – 2(9)(10)cos(100°)

Answers

By solving through law of cosines the length s can be written as [tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex].

Given the length of US is 9, the length of ST is 10 and the length of UT is s and the angle UST is 100 degrees.

According to law of cosines a length can be written as [tex]c^{2} =a^{2} +b^{2} -2abcos g[/tex]

where c is the side opposite to the given angle and a and b are other sides , g is the angle given.

[tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex]

where s is the length of the side opposite to the angle given, the length of other sides are 9 and 10 where the angle is 100.

Hence the fourth option is correct which is s^{2} =9^{2} +10^{2} -2*9*10cos(100).

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Answer:

its D

Step-by-step explanation: ed 2023

In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3.

Triangle D E F is shown. Line G H is drawn parallel to side D E within the triangle to form triangle G F H. The length of D G is 12, the length of G F is 4, the length of E H is 9, and the length of H F is 3.

To prove that △DFE ~ △GFH by the SAS similarity theorem, it can be stated that StartFraction D F Over G F EndFraction = StartFraction E F Over H F EndFraction and

∠DFE is 4 times greater than ∠GFH.
∠FHG is One-fourth the measure of ∠FED.
∠DFE is congruent to ∠GFH.
∠FHG is congruent to ∠EFD.

Answers

To prove that △DFE ~ △GFH by SAS similarity theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: [tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]  and ∠DFE is congruent to ∠GFH.The correct answer is option C.

The image of the triangle is attached with the answer below:-

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

Given ΔDEF as shown in the diagram attached to this answer, the following can be observed:

By comparing ΔDEF and ΔGFH

DF = DG + GF

    = 12 + 4

DF = 16

Also,

EF = EH + HF

   = 9 + 3

EF = 12

Comparing the sides of ΔDEF and ΔGFH, we have;

[tex]\dfrac{DF}{GF}[/tex] = [tex]\dfrac{EF}{HF}[/tex]  

[tex]\dfrac{16}{4}=\dfrac{12}{3}[/tex]

4 = 4

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

DFE is congruent to ∠GFH

Therefore, to prove that △DFE ~ △GFH by the SAS similarity theorem;

[tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]    and ∠DFE is congruent to ∠GFH.

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Answer:

C

Step-by-step explanation:

Edg

The points (2,3) and (5,9) are on the line. What is the equation of the line

Answers

The equation of the line is y = 3x +3 .

What is a Straight Line Equation ?

A straight line equation is that can be represented by y = mx +c , where m is the slope and c is the intercept on y axis.

The points given are (2,3) and (5,9)

m = (9-3)/(5-2) = 3

m = 3

Therefore the equation becomes

y = 3x +c

Te equation is given by

(y-y₁) = m(x-x₁)

y-3 = 3(x - 2)

y-3 = 3x -6

y = 3x +3

Therefore the equation of the line is y = 3x +3 .

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Which of the following is most likely the next step in the series?
⠀⠀

Answers

The next step in the series is choice D.

Answer:

D

Step-by-step explanation:

if we define the diagrams in terms of their rows and columns, then

1st : 2 by 1

2nd : 3 by 2

3rd : 4 by 3

note that the rows and columns both increase by 1

then the next likely diagram is

5 by 4 , that is diagram D

Rewrite, using the distributive
property (Algebra 1)

Answers

Answer:

[tex]24m + 32[/tex]

Step-by-step explanation:

[tex]8(3m + 4) = 24m + 32[/tex]

If the sides of a square are increased by 2 inches, the area becomes 25 squares inches. Find the length of sides of the original square.

Answers

You know that the sides of a square are increased by 2 inches: the expression should be written as (x+2)

The area is 25 square inches

The area of a square is s×s or s²

so it can be solved as:

(x+2)²=25

[tex](\sqrt{x+2})^{2} =\sqrt{25}[/tex]

x+2=5

x=3

The length of the original side is 3 inches

Hope it helps!

(3x + 2y = 7
(7x-2y = 3

Answers

Answer for the equation by elimination

The graph of a rational function f is shown below.
Assume that all asymptotes and intercepts are shown and that the graph has no "holes".

Use the graph to complete the following.

Answers

We have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The y-intercept of a function is determined by the intersection of its graph with the y-axis. The value of y on the y-axis at which the considered function crosses it is called the y-intercept.

Assume the following equation: y = f (x)

We have x   =0- 2 and y+2 = 0,The x and y intercept of the given function is -2 and +2.

The vertical asymptote is none. The horizontal asymptote is 2.

Hence,we have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.

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The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
set?
O
-
-5-4-3 -2 -1 0 1 2 3 4 5
-5-4-3-2-1 0 1 2 3 4 5
4
+
-5 -4 -3 -2 -1 0 1 2
44
3 4 5

Answers

The correct answer to this question is Option (4).

Answer:

D.

Step-by-step explanation:

EDG 2022

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A container with oxygen, xenon and helium has a total pressure of 1436.4kPa. If the pressure of the helium is 348.1kPa and the pressure of the oxygen is 516.8kPa, what is the pressure (kPa) of the xenon? Egdar Allan poem the bells2. Look up tintinnabulation in a dictionary and an etymology dictionary and explain its meaning andhistory. How does the word affect the tone of this part of the poem? Injuries occur from muscle imbalances which result from the body's inability to ....................... these types of stress. When did our current system of cooperative federalism begin? I thought it was true but then I think it might be false because of the gently poke fun part. Thanks Carefully follow the steps to find the solution to the three equation system.1.2x+y+3:= 122. x-2y+z=-53.5.x- y+ 2z = 5a. Use equations 2 and 3 and eliminate the z by multiplication and addition, creating a new equation with only two variables.b. Use equations 1 and 2 and eliminate the z by multiplication and addition, creating a second equation with only two variables.c. Use the two new equations, and eliminate the x-variable by multiplication and addition, finding the value for the y-variable.d. Substitute y-value in the second new equation and find the x-value.e. Substitute the z-and y-values into original equation 2 to find the z-value Forever Inc. is a confectionery company that manufactures candies. It does not use specific strategies to target children when marketing its products. Instead it uses the same strategies to promote its candies among all consumers in the market. In this scenario, Forever uses a(n) _______. Drag the tiles to the correct boxes to complete the pairs.Match the factors affecting genetic diversity with the examples.m. All rights reserved.habitat fragmentationpollutionexploitationsewage from cities dumped into verssections of large forests cut down for resourcesBurmese pythons Infesting the Evergladesrhinos Indiscriminately killed for their horns O GEinvasive species101N our mountain regions are unique and beautiful places. We must preserve them for future generations. One of the most serlous threats to ourmountains is ridgetop development. Large housing developments built on steep slopes and along mountain ridges are unsightly. Also, theyadversely affect the scenic views that draw tourists to our region each year.Who wants to drive to the mountains to see not the lovely tree-covered outline of the gently sloping mountain ridges against the sky, but rows of houses jutting from the ridges and slopes with little or no treecover between them? With tourism as the biggest industry in our area, maintaining our scenic ridgelines is crucial to continued economicsuccess here.Ridgetop development not only detracts from scenic mountain views andthreatens our area's top industry, it also harms the environment.Stripping large areas to create multiple building sites removes the trees and other plants. These resources provide natural erosion barriers onsteep slopes. Large housing developments on ridges often Increase erosion and runoff into streams and rivers.What is the purpose of this essay? If f(x)=7^x and g(x)=15x/x+9, find a simplified formula for: g(f(x))= A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study babies were born, and of them were girls. Use the sample data to construct a % confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?. Which of the following choices had the strongest influence on the work of Diego Rivera?A. African masksB. Classical Greek sculpture C. Mayan muralsD. Japanese ukiyo-e woodblock prints is about and DC are parallel, which angles are congruent to D 3? How does the currency described in the story reflect the story's setting?OA. It indicates that the story is set in the ancient past where people had no access to paper money.OB. It supports the idea that Yen and his family live in a rural setting that is not advanced.OC. It establishes that the story takes place in China at a time when they used strings of cash as currency.OD. It proves that Yen's mother was meticulous about her home and everything in it. Im Laurel has an area in her yard that is in the shape of a parallelogram. It has a base of 30 feet and a height of 22 feet. She wants to cover this area with wildflower seeds. She finds out that 1 ounce of seeds covers 125 square feet of ground. How many ounces of seeds does she need to cover this area? "I completed my assignment effectively" he said. Aminophylline 0.5 milligrams/kg/hr is prescribed for an 80 kg man; 500 milligrams in 500 ml infusion is prepared. At what rate should the infusion run (in ml/hr.)? This morning your manager asked you to complete a special task by this afternoon. While you are working on it, a customer asks you for help. If you stop to help them, you probably will not finish the task for your manager. What would you be MOST likely to do The following data show the scores of some students in a competition:12 points21 points29 points17 points24 points23 points28 pointsWhich box plot represents the data? A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 21 to 28 on the number line. A line in the box is at 23 The whiskers end at 17 and 29. A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 24 on the number line. A line in the box is at 23 The whiskers end at 12 and 28. A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 28 on the number line. A line in the box is at 21 The whiskers end at 12 and 29. A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 28 on the number line. A line in the box is at 23 The whiskers end at 12 and 29. What might be the shared theme of these excerpts?Excerpt from My Antonia, by Willa CatherSometimes I went south to visit our German neighbors and to admire their catalpa grove, or to see the big elm tree that grew up out of a deep crack in the earth and had a hawk's nest in its branches.Excerpt from Adventures of Huckleberry Finn, by Mark TwainNorth of the house, inside the ploughed fire-breaks, grew a thick-set strip of box-elder trees, low and bushy, their leaves already turning yellowA. the importance of neighborsB. the simplicity of animalsC. the values of farm lifeD. the beauty of nature