An archway is modeled by the equation y = -2x^2 + 8x. A rod is to be placed across the archway at an angle defined by the equation x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B?
A. 8 units
B. 6 units
C. 5 units
D. 3 units

Answers

Answer 1
To solve this problem you must apply the proccedure shown below: 

1. You have that the the archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.

 2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:

 x−2.23(-2x^2+8x)+10.34=0

 3. When you apply the distributive property, you obtain:

 x−2.23(-2x^2+8x)+10.34=0
 x+4.46x^2-17.84x+10.34=0
 4.46x^2-16.84x+10.34=0

 4. When you solve the quadratic equation, you obtain:

 x=3 units

 Therefore, the answer is the option D: D. 3 units.
Answer 2

Answer

The answer is 6

Step-by-step explanation:


Related Questions

For these two rules, the second number in the ordered pair is always three times greater than the first number. If the relationship between the two numbers in each ordered pair is the same, the graph will be: Not graph-able A straight line A circle An exponential curve A parabolic curve

Answers

well this factor has to the answer b.) hope I helped.

Which graph shows a polynomial function of an even degree?

Answers

The definition of a even function is:
 A function is even if, for each x in the domain of f, f (- x) = f (x).
 The even functions have reflective symmetry through the y-axis.
 We have then that the graph that meets this definition is:
 graph 1 (from left to right)
 Answer:
 
graph 1 (from left to right)
Of course the answer would be the first option. If you observe, it is the only graph having the same endpoints pointing downward which means positive and even. If it's an odd degree, the endpoints of the graph will be different- either up-down or down-up. So the first option is the ckrrect answer. Just take note that the graph will be a hint that can tell you if it has an even or odd degree.

Find the surface area

Answers

if you notice, the figure has two hexagonal faces and 6 rectangles.

now the rectangles are just 4x9 each, so their area is just 6(4*9) for all 6.

the hexagons has a distance from the center perpendicular to a side of 7.8, namely the apothem is 7.8, and since each side is 9 km long, the perimeter is 9+9+9+9+9+9.

since the area of a regular polygon is (1/2)(apothem)(perimeter), we can simply get the area of those two hexagons and the area of the rectangles, sum them up, and that's the surface area of the hexagonal prism.

[tex]\bf \stackrel{\textit{6 rectangles}}{6(4\cdot 9)}~~~~+~~~~\stackrel{\textit{2 hexagons}}{2\left[ \cfrac{1}{2}(7.8)(54) \right]}[/tex]

A plane intersects a double-napped cone such that the plane intersects both nappes through the cone's vertex. which terms describe the degenerate conic section that is formed? select each correct answer. degenerate parabola pair of intersecting lines point line degenerate hyperbola degenerate ellipse

Answers

It is both of ...
  pair of intersecting lines
  degenerate hyperbola

Answer with explanation:

It is given that, a plane intersects a double-napped cone such that the plane intersects both Nappes through the cone's vertex.It also depends on how thick or thickness of the plane:

1.We can surely say that degenerate hyperbola will be formed,whatever be the thickness of Plane.

2. Two parallel lines=pair of intersecting lines ,because both ,A double napped cone and Plane is three dimensional shape.Instead of intersecting lines ,two parallel lines which we call pair of intersecting lines,  will be formed.

A right triangle has sides measuring 5 inches, 12 inches, and 13 inches. What is the area, in square inches, of this triangle ?

Answers

Please look up and apply Heron's Formula.  Start by calculating s, where
        a  +  b  +  c
s = -------------------
               2

Then calculate A:

A = sqrt[ s(s-a)(s-b)(s-c) ]

Final answer:

The area of a right triangle with sides of 5 inches and 12 inches as the base and height, respectively, is 30 square inches, calculated using the formula A = (base × height) / 2.

Explanation:

The area of a right triangle is calculated by multiplying one-half the base by the height: A = (base × height) / 2.

In the case of a right triangle with sides measuring 5 inches, 12 inches, and 13 inches, the 5-inch and the 12-inch sides are the legs and thus can be used as the base and height. Using the formula for the area of a right triangle:

A = (5 × 12) / 2

A = 60 / 2

A = 30 square inches

Therefore, the area of this triangle is 30 square inches.

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.

Full time Part time
Public Transportation 7 10
Bicycle 4 3
Drive alone 30 31
Carpool 6 9

Answers

The probability is 56/100, or 14/25 = 0.56.

These events are not mutually exclusive, meaning they can happen at the same time.  This means we use

P(A or B) = P(A) + P(B) - P(A and B)

P(carpool or full time) = P(carpool) + P(full time) - P(carpool & full time)

There are 6+9=15 people out of 100 that carpool.
There are 7+4+30+6=47 people out of 100 that work full time.
There are 6 people out of 100 that carpool and work full time.

This gives us
15/100 + 47/100 - 6/100 = 56/100
Final answer:

The probability of getting someone who carpools or someone who works full time is 0.36.

Explanation:

To find the probability of getting someone who carpools or someone who works full time, we need to add the probabilities of the two events.

The probability of getting someone who carpools is 6/100 and the probability of getting someone who works full time is 30/100.

So the probability of either event happening is (6/100) + (30/100) = 36/100 = 0.36.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ3

a glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. if a single marble is chosen at random from the jar, what is the probability that it is red

Answers

To find the probability, you need to divide the amount of red marbles by the total amount of marbles. 

1/10 = 0.1. 

The probability of choosing a red marble is 0.1, or 10%

[tex] |\Omega|=10\\
|A|=1\\\\
P(A)=\dfrac{1}{10}=10\% [/tex]

Two angles of a triangle have the same measure and the third angle is 72degrees greater than the measure of the other two. find the measure of each angle.

Answers

The two shorter angles = 36 degrees. 

The longer anger = 108 degrees. 

Let me know if you would like me to explain how I got this.

What happens to people who don’t know toothpaste from putty?

Answers

Their window falls out.

Final answer:

Toothpaste is designed specifically for oral hygiene and contains abrasives and fluoride, unlike putty. Recognizing and using toothpaste instead of incorrect substances like putty is crucial for maintaining dental health.

Explanation:

When a person does not know how to distinguish between toothpaste and putty, they may lack basic knowledge about oral hygiene and the purpose of toothpaste. Toothpaste is formulated to clean and maintain the health of teeth; it usually contains abrasives that scrub the teeth and fluoride that helps prevent cavities.

It is essential to use toothpaste rather than any other substance, such as putty, which does not provide the same benefits and can be harmful if ingested. Learning to recognize and use toothpaste correctly is part of basic health awareness and contributes to overall wellbeing.

If a rectangle measures 8 feet on the short side and 9.8 feet on the long side what is the area of the rectangle in square feet

Answers

To solve this, we are going to use the formula for the area of a rectangle: [tex]A=wl[/tex]
where
[tex]A[/tex] is the area of the rectangle
[tex]w[/tex] is the width of the rectangle 
[tex]l[/tex] is the length of the rectangle 

Since the short side of a rectangle is the width of the rectangle, [tex]w=8ft[/tex]. Similarly, the long side a rectangle is the length of the rectangle, so [tex]l=9.8ft[/tex]. Now we can replace those values in our formula to find [tex]A[/tex]:
[tex]A=wl[/tex]
[tex]A=(8ft)(9.8ft)[/tex]
[tex]A=78.4ft^2[/tex]

We can conclude that the area of our rectangle is 78.4 square feet.

Steve buys 14 ounces of kiwis and 2 pounds of peaches.How many more ounces do the peaches weigh then the kiwis?

Answers

1 pound = 16 ounces

2 pounds x 16 ounces = 32 ounces for the peaches.

32 ounces - 14 ounces = 18

The peaches weigh 18 more ounces.

[(7−5)÷12]×2
help quick

Answers

your answer would be 12
The first step for solving this expression is to subtract the numbers in the first set of parenthesis.
(2 ÷ 12) × 2
Now write the division as a fraction.
[tex] \frac{2}{12} [/tex] × 2
Reduce the fraction with 2.
[tex] \frac{1}{6} [/tex] × 2
Finally,, reduce the fraction with 2 one last time.
[tex] \frac{1}{3} [/tex]
This means that the correct answer to your question is [tex] \frac{1}{3} [/tex].
Let me know if you have any further questions.
:)

A) how many ways can the letters in the word computer be arranged in a row?
b.how many ways can the letters of the word computer be arranged if the letters co must remain next to each other as a unit?

Answers

A.

The are 8 total letters:
8!= 8*7*6*5*4*3*2*1
=40320

B.

The are still 8 total letters, but the 1st 2 are constants, CO. So what would scramble the remaining letters as such.

6!= 6*5*4*3*2*1
=720

Hope this helps

The permutation is defined as the arrangement number or order in which rearrangement of  element in an order list.

(a) The letters in the word computer be arranged in a row is 40320.

(b) The letters of the word computer be arranged 5040 ways.

Given:

The given latter is COMPUTER.

How to find the permutation of latter?

(a)

There are 8 letter in word COMPUTER. Calculate the number of ways in which we can arrange 8 letters.

[tex]8!=8\times7\times6\times5\times4\times3\times2\times1\\8!=40,320.[/tex]

Thus, the letters in the word computer be arranged in a row is

(b)

As per the question if we treat CO as a unit then there will only seven letters effective.

[tex]7!=7\times6\times5\times4\times3\times2\times1\\7!=5,040[/tex]

Thus, the letters of the word computer be arranged 5040 ways.

Learn more about permutation here:

https://brainly.com/question/1216161

Mr ong spent $960 of his salary on food and transport.He spent 1/4 of his remaining money on clothes.He then had 1/3 of his salary left.How much was his salary?

Answers

I pass the solution
49601
43
culculate the value approximate
×11.53,51163

I hope his helps

Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?

A. All integers where n ≥ 0
B. All real numbers
C. All integers where n ≤ 1
D. All integers where n ≥ 1

Answers

[tex]a_n=3+2(n-1)\\\\n\in\mathbb{N^+}\\\\Answer:\ D.\text{All integers where}\ n\geq1[/tex]
All numbers greater or equal to 1

Gina is a tour boat operator and she wants to know the mean age of all the people in her tour group.

She randomly selects 8 people in the group and asks them for their ages. Their responses are 19, 27, 25, 21, 44, 22, 45, and 34.

What is the best estimate of the mean age of all the people in the tour group?



Round to the nearest whole number.

Answers

mean means average, so add all the ages together and divide by the number of people asked:

19 + 27 + 25 + 21 + 44 + 22 + 45 + 34 = 237

237 / 8 = 29.625 = 30 years

The ratio of gold charms to silver charms is 1:3. Which statement does not describe the relationship?

Answers

If the ratio of gold to silver is 1:3, then for every gold charm, there are 3 silver charms. That is the opposite of the first choice, so the first choice does not describe the relationship, and is the correct answer.
Final answer:

The ratio of gold charms to silver charms is 1:3, with 1 representing the number of gold charms and 3 representing the number of silver charms. The statement that does not describe the relationship is the one that does not accurately represent this ratio.

Explanation:

The ratio of gold charms to silver charms is 1:3. In this ratio, the first number (1) represents the number of gold charms, and the second number (3) represents the number of silver charms. Therefore, the statement that does not describe the relationship is the one that does not accurately represent this ratio.

One painter can paint a house in 12 hours another can paint the house in 8 hours, how long will it take for both of them to paint 1 house

Answers

4.8 hours. 

You can get this by setting up the equation:
x/8 + x/12 = 1
Where x is equal to the amount of hours spent working. In this equation x/4 would be the first painter. In 8 hours he would paint on room. x/12 would be the second painter. When you add them together using common denominators, you can find x. 

Please help I really need an answer fast!!!
A, toy company manufactures arcade games. They are marketing a new pinball machine to children. It is similar in size to the adult version of the same game.
Adult pinball machine GAME with base ME measuring 35 inches and sides measuring 56 inches. Child pinball machine G prime A prime M prime E prime with base M prime E prime measuring 14 inches

If the perimeter of the adult pinball machine is 167 inches, what is the length, in inches of Segment line G prime A prime? Type the numeric answer only in the box below.

Answers

The answer is 8. 

first of all you need to find the missing length on the adult version. 
so the work would be:
-add up all the known sides of adult so
(56+56+35)=147

-then take the total perimeter and subtract so
 167-147=20

-then you need to compare the two known sides of both the adult and kids version. so that would be the bottom line EM.
They are 35 and 14 so divide
35/14=2.5

Now you know the dilation so you can figure out the missing side GA on the childs by taking the missing side from the adult dividing by the dilation 2.5 to get the answer so
20/2.5= 8 

the answer is 8. 

I got this correct on the quiz. 

Which of the following is an example of a function?


{(-1, 0), (-1, 3), (3, 9), (5, 10}


{(1, 3), (2, 5), (3, 8), (4, 10)}


{(4, 6), (5, 9), (4, 7)}


{(0, 2), (0, 3), (1, 5), (4, 5)}

Answers

A. Not a function since we have the points (-1,0) and (-1,3). The x value repeats while the y values are different. Plugging in x = -1 leads to multiple outputs, which shows we don't have a function. To get a better visual, you can plot the points. You'll see that the points form a vertical line. Therefore, this graph fails the vertical line test. 

B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.

C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7

D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.

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

Answer: Choice B


If two angles are both vertical and supplementary, can we determine the angles? If so, what are they?

Answers

we know that
if A and B are vertical angles
so
angle A is equal angle B
A=B

and
 if A and B are supplementary angles
so
angle A +angle B is equal to 180 degrees
A+B=180°

therefore
A=B
A+A=180-----> 2A=180-----> A=90°

the answer is
the angles are 90 degrees

Answer:

Step-by-step explanation:

45

Orville traveled at a speed that was twice as fast as randy, Orville traveled 240 miles in one hour less than it took randy to travel 150 miles. What were the speed and time it took for both Orville and randy?

Please answer will give brainliest

Answers

Let
x-------> Orville speed
y-------> Randy speed
t--------> Randy time

we know that
speed=distance /time
Orville traveled at a speed that was twice as fast as randy
so
x=2y------> equation 1

speed Orville
x=240/(t-1)------> equation 2

speed Randy
y=150/t------> equation 3

substitute equation 1 in equation 2
2y=240/(t-1)------> y=120/(t-1)----------> equation 4

equate equation 3 and equation 4
150/t=120/(t-1)------> 150*(t-1)=120*t----> 150*t-120*t=150
30*t=150-----> t=5 hours

Orville speed and time
x=240/(t-1)-----> 240/(4)----> 60 miles/hour
Orville speed is 60 miles/hour
Orville time is (t-1)----> 5-1-----> 4 hour

Randy speed and time
y=150/t-----> 150/5----> 30 miles/hour
Randy speed is 30 miles/hour
Randy time is t-----> 5 hours

the answers are
a) Orville speed is 60 miles/hour
b) Orville time is 4 hours
c) Randy speed is 30 miles/hour
d) Randy time is 5 hours


Find the 12th term in the following geometric sequence. 0.75, 1.5, 3, 6, . . .

Answers

the pattern doubles, .75 x 2= 1.5. 1.5 x 2= 3, and so on. so the answer would be 1,536

Answer:

1536

Step-by-step explanation:

Given : A geometric sequence 0.75, 1.5, 3, 6, . . .

To Find:Find the 12th term

Solution:

0.75, 1.5, 3, 6, . . .

First term =a = 0.75

Common difference = [tex]r = \frac{a_3}{a_2} =\frac{a_2}{a_1}=\frac{1.5}{0.75}=\frac{3}{1.5}=2[/tex]

nth term of G.P. = [tex]a_n=a r^{n-1}[/tex]

Where a = First term = 0.75

r = common difference = 2

Substitute n = 12

[tex]a_{12}= 0.75 (2)^{12-1}[/tex]

[tex]a_{12}= 0.75 (2)^{11}[/tex]

[tex]a_{12}= 1536[/tex]

Hence the 12th term in the geometric sequence. 0.75, 1.5, 3, 6, . . . is 1536.

Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.

Answers

Two points on this line are (8,0) and (0,-2).  The slope is thus

         0-(-2)
m = ---------- = 1/4
         8-0

The equation of the line is then y-0 = (1/4)(x-8), or y = (1/4)X - 2 (in slope-intercept form).

To determine the equation of the line with x-intercept 8 and y-intercept -2, the slope is calculated to be 1/4. Thus, the line's equation in slope-intercept form is y = (1/4)x - 2.

To find the equation of a line with an x-intercept of 8 and a y-intercept of -2, we'll first determine the slope of the line (m) and then use the slope-intercept form (y = mx + b).

Two points on this line are (8,0) and (0,-2). The slope (m) of a line is calculated by the change in y divided by the change in x, which in this case is
(0 - (-2)) / (8 - 0) = 2 / 8 = 1 / 4.

Now we know the slope is 1/4 and the y-intercept (b) is -2, so the equation of the line in slope-intercept form is:

y = (1/4)x - 2

From 1992 through 2007, the purchasing power of a dollar decreased by about 3.5% per a year. Using 1992, as the base for comparison, what was the purchasing power of a dollar in 2007? Formula: y=C(1−r)t

$0.48
$0.57
$0.44
$0,59

Answers

Answer: fourth option $0.59

Explanation:

1) Given formula: y=C(1−r)^t

I will change t for x just due to editor limitations: y = C(1-r)ˣ

2) In that:

C =$1,
r = 3.5% = 3.5/100 = 0.035
x = t = 2007 - 1992 = 15

3) Compute

y = $1 (1 - 0.035)¹⁵ = $1 (0.965)¹⁵ = $0.586 ≈ $0.59

Answer: $0.59

In how many ways can the letters of the word BANANA be rearranged such that the new word does not begin with a B?

Answers

First arrange the words in order:

AAABNN

so there are 3 A's, 1 B and 2 N's.

If there were no constraints,

Number of permutations = (3+1+2)!/(3!1!2!)=6!/(6*1*2)=720/(6*2)=60

Number of words that begin with B is to take out the B, that leaves us with

AAANN => 3 A's and 2 N's

=> 5!/(3!2!) = 120/(6*2)=10

Therefore the number of words that do NOT begin with B is

60-10 = 50 ways

An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represents this ellipse?

Answers

we know that
Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
Then 
a² will go with the y part of the equation
Also, since the focus is 8 units below the center, then c = 8
since the vertex is 17 units above, then a = 17
The equation b² = a² – c² gives me
b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1

the answer is
y²/289+x²/225=1

see the attached figure

Answer:

D

Step-by-step explanation:

match each graph with its corresponding equation

Answers

The graphs match the equations as follows:

Graph A: (−x+3)^2 -2

Graph B: (x−2)^2+3

Graph C : −(x+2)^2 +3

Graph D : 2(x−2)^2 +3

Equation (−x+3)^2 -2:

This equation is in the form of a quadratic function, y=a(x−h) ^2+k, where (h ,k) is the vertex of the parabola.

The vertex of the parabola is at (3,1), which matches the vertex of Graph A.

The coefficient a is negative, which tells us that the parabola opens downward.

The constant term k is −2, which tells us that the minimum value of the parabola is −2.

Equation (x−2)^2+3 :

This equation is in the form of a quadratic function, y=a(x−h) ^2 +k, where (h, k) is the vertex of the parabola.

The vertex of the parabola is at (2,3), which matches the vertex of Graph B. The coefficient a is positive, which tells us that the parabola opens upward.

The constant term k is 3, which tells us that the minimum value of the parabola is 3.

Equation  −(x+2)^2 +3:

This equation is in the form of a quadratic function, y=a(x−h) ^2 +k, where (h, k) is the vertex of the parabola.

The vertex of the parabola is at (−2,3), which matches the vertex of Graph C.The coefficient a is negative, which tells us that the parabola opens downward.

The constant term k is 3, which tells us that the maximum value of the parabola is 3.

Equation  2(x−2)^2 +3 :

This equation is in the form of a quadratic function, y=a(x−h) ^2 +k, where (h ,k) is the vertex of the parabola.

The vertex of the parabola is at (2,3), which matches the vertex of Graph D. The coefficient a is positive and multiplied by 2, which tells us that the parabola opens upward and is stretched vertically by a factor of 2.

The constant term k is 3, which tells us that the minimum value of the parabola is 3.

please help asap 50 pts

Answers

If you factor the expression by grouping you should get (3g - 5) (2g +7)

Steps:
1. Factor 11 out of 11g
6g^2 + 11 (g) - 35

2. Rewrite 11 as -10 plus 21
6g^2 + (-10 + 21) g - 35

3. Apply the distributive property
6g^2 + (-10g + 21g) - 35

4. Remove parentheses
6g^2 - 10g + 21g - 35

5. Group the first two and the last two terms
(6g^2 - 10g) + (21g - 35)

6. Factor out the greatest common factor from each group
2g (3g - 5) + 7 (3g - 5)

7. Factor out the greatest common factor, 3g - 5
(3g - 5) (2g + 7)


Therefore the answer is A
[tex]6g^2+11g-35=6g^2+21g-10g-35=3g(2g+7)-5(2g+7)=(2g+7)(3g-5)[/tex]
Answer: A. (3g - 5)(2g + 7)

What is the constant of proportionality in the equation 6y=3x6y=3x6, y, equals, 3, x?

Answers

For this case we have the following equation:
 6y = 3x
 From here, we must clear the value of y.
 We have then:
 y = (3/6) x
 Rewriting we have:
 y = (1/2) x
 The proportionality constant is:
 k = 1/2
 Answer:
 the constant of proportionality in the equation 6y = 3x is:
 1/2
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In a lysogenic infection, once the dna of the virus is incorporated into the bacterial dna, the dna is called a Psychological research that requires subjects to participate in an experiment without the person giving his or her consent would be viewed by the american psychological society as: If AD=2/3 AB , the ratio of the length BC of to the length of DE is . Complete the analogy benefit :advantage :: gradual: A father is giving his child a 30-inch long softball bat for her birthday.He has a rectangular box that has the dimensions of 5 inches by 6 inches by 25 inches. Will the bat fit in the box ? Explain Peter is working for an hourly wage of 12$ if he worked for 20 hours last week what is his gross pay Scientists discovered fossil evidence of mesohippus, an ancestor of the modern horse. Mesohippus lived in North America about 40 million years ago. Mesohippus was about two feet tall, ran on hooves with three toes, and had large, grinding teeth. It is believed that these early horses lived in the thick forests. What may have helped horses change over the last 40 million years? (05.07 mc) mandy needs to paint all the faces and the base of a model pyramid she made for her history project. the dimensions of the pyramid are shown here. what is the total surface area of the pyramid? a square pyramid is shown. the side of the square is 10 inches. the height of the triangular faces is 9 inches. Which planetary model allows a scientist to predict the exact positions of the planets in the night sky over many years?A) The planets' orbits are circles in a geocentric modelB) The planets' orbits are circles in a heliocentric modelC) The planets' orbits are ellipses in a geocentric modelD) The planets' orbits are ellipses in a heliocentric model In a '20% off' sale, a coat was 220. Work out the original price. the charter of the United Nations was adopted A) immediately following the last session of the League of Nations B) in the year after world war 11 endedC) after the Cold War began D) at the beginning of world war 11 Read the text and answer the following question. In ancient literature, the genre which most closely approximates the novel is the epic. Works such as Homers Iliad and Odyssey as well as Virgils Aeneid, though poetry, are long narratives centered around certain key events and characters with heroic or cowardly actions that determine, not only their own fates, but also those of the nations which they led. The novel carries this tradition on, but in a reduced scope. The novel is much more localized, centering on characters in local settings, whose actions affect themselves and perhaps a few members of their local community. What is the main idea in the text? Epic poems are greater in scope than novels. Epic poetry was a precursor to the novel. Epic poetry is poetry; novels are prose. A batch of cookies requires 3/8 cup of butter. Butter can be purchased in boxes, each containing 4 sticks, with 1 stick equivalent to 1/2 cup of butter. If Monica is to bake 15 batches of cookies, which of the following is the best estimate for the total number of boxes of butter she needs to buy? A saving account pays 3.6% per annum simple interest Heidi puts 400 into the account, how much will she have in the account after 5 years? A plane can fly 300 miles in the same time as it takes a car to go 150 miles. if the car travels 90 mph slower than the plane, find the speed of the plane. when is periodic data useful? give examples to support your answer please a season ticket for bolton f.c. this season cost 410 it is to go up by 34% next season how.much will a season ticket cost next season? For the oxidationreduction reaction equation 2na+s na2s indicate how many electrons are transferred in the formation of one formula unit of product. NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem? what does it mean if the quotient times the divisor does not equal the dividend? What should you do?