the jellybean jar has a radius of 4.8 cm and a height of 11.8 cm. what would be a reasonable lower limit for the number of jelly beans in the jar

Answers

Answer 1

Answer:

           [tex]\large\boxed{\large\boxed{100}}[/tex]

Explanation:

This question comes with four answer choices:

10,000100,0001001

You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.

The jellybean jar is cylindrical, Thus, its volume is [tex]\pi \times radius^2\times height[/tex]

To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:

            [tex]Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3[/tex]

The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):

             [tex](2cm)^3=8cm^3\approx10cm^3[/tex]

Hence, a reasonable lower limit for the number of jellybeans in the jar is:

                     [tex]1,000cm^3/10cm^3=100[/tex]

Answer 2
Final answer:

To find a reasonable lower limit for the number of jelly beans in a jar with a radius of 4.8 cm and height of 11.8 cm, you can calculate the volume of the jar to be approximately 272 cm^3. Assuming the volume of a jelly bean to be approximately 1 cm^3, you can estimate the jar might hold at least 272 jelly beans.

Explanation:

To calculate a reasonable lower limit for the number of jelly beans in the jar, a good starting point could be to calculate the volume of the jar and then consider the volume of a single jelly bean. Let's assume a jelly bean has an approximate volume of 1 cm^3 (though they can be bigger or smaller).

Given that the jar is cylindrical, we can calculate its volume using the formula for the volume of a cylinder: πr^2h, where r is the radius and h is the height. Here, radius = 4.8 cm and height = 11.8 cm.

Applying the values, we have: volume = π(4.8)^2 *11.8 = ~271.64 cm^3.

Dividing this volume by the volume of a single jelly bean gives us a rough estimate of the number of jelly beans that can fit in the jar. So, 271.64 cm^3 /1 cm^3 = 271.64, so roughly 272 jelly beans could be a reasonable lower limit, but you might be able to fit more depending on their actual size and how tightly they can pack together.

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Related Questions

When you are born about 75% of your weight is water. If a newborn weighs 8 pounds, how many of
those pounds are water?

Answers

Answer:6

Step-by-step explanation:

If you were to divide 8 by 2 you would get 4 and this makes it easier to get the answer. 75% of 4 is 3 so multiple 3 by 2 to get 6.

the answer would be 6


if you do 8 times 75% you get 6

8x75% or 8x.75

EASY MATH 10 PTS + BRAINLIEST
If (6^2)^p = 6^10, what is the value of p?
a. 2
b. 3
c. 4
d. 5

Answers

Answer:

d. 5

Step-by-step explanation:

Apply the distributive property to create an equivalent expression.
4\left(3 + \dfrac14c - \dfrac12d\right) =4(3+
4
1

c−
2
1

d)=

Answers

Answer:

[tex]12+c-2d[/tex]

Step-by-step explanation:

The correct expression of the problem is

[tex]4\left(3 + \dfrac14c - \dfrac12d\right)[/tex]

Applying the distributive property

[tex]4\left(3 + \dfrac14c - \dfrac12d\right)=(4*3)+(4*\dfrac{1}{4} c)-(4*\dfrac{1}{2} d)=(12)+(c)-(2d)[/tex]

therefore

The equivalent expression is equal to

[tex]12+c-2d[/tex]

100 points What scale factor was applied to the first rectangle to get the resulting image?

Enter your answer as a decimal in the box.


A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5

Answers

Answer:

0.25

Step-by-step explanation:

Scale factor = ratio of the sides

Assuming the first rectangle is with shorter side 6,

Scale factor = 1.5/6 = 15/60 = 1/4 = 0.25

Divide the new length by the original length:

The arrow points from 6 to 1.5, so the new length is 1.5 and the original length was 6.

1.5 / 6 = 0.25. The scale factor was 0.25

The first equation in the following system gives the
company's cost of making x purses. The second
equation gives the company's income for selling x
purses.
What are the solutions to the system of
equations?
(-23,400, 3,400) and (-1,170, 170)
(-1,170, -23,400) and (170, 3,400)
(274, 726) and (5,480, 14,520)
(274, 5,480) and (726, 14,520)
DONE
y=-0.01(x - 500)2 + 4.489
y = 20x
You used substitution to obtain the equation
0 = -0.01x2-10x+1,989 from the system
Intro

Answers

Answer:

option 2: (-1,170, -23,400) and (170, 3,400)

Step-by-step explanation:

correct answer for e2020

Answer:

B. (-1,170, -23,400) and (170, 3,400)

Step-by-step explanation:

Beth started a workout program. On Monday, she did 15 sit-ups.
On Tuesday, she did 21 sit-ups, and on Wednesday, Beth did
27 sit-ups. Make a conjecture about the number of sit-ups Beth
will do on Friday.

Answers

On Friday, Beth will most likely do 39 sit ups. Every day she is doing an extra 6 sit ups.... Thursday would be 33 sit ups and Friday would be 39 sit ups.

The sum of 200 and 7 times a number

Answers

Answer: 200+7 * X=

Step-by-step explanation:

Answer:

sum = addition, times = multiplication, a number = a variable (let's say n)

Use this written out problem to write the algebraic expression?

200 + 7n    or   7n +200   (both are the same)

Step-by-step explanation:

group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent of
9
4
. What is the horizontal distance, in meters, to home plate?

Answers

Answer:

17.78 meters

Step-by-step explanation:

Let

x ----> the horizontal distance, in meters, to home plate

[tex]\theta[/tex] ----> the angle of vision

we know that

[tex]tan(\theta)=\frac{40}{x}[/tex] ----> by TOA (opposite side divided by the adjacent side)

we have

[tex]tan(\theta)=\frac{9}{4}[/tex]

substitute

[tex]\frac{9}{4}=\frac{40}{x}[/tex]

solve for x

[tex]x=40(4)/9\\x=17.78\ m[/tex]

Which expressions are equivalent to the one below? Check all that apply.
logg 5 + logs 125

Answers

Answer:

Step-by-step explanation:

B 4C and log 625

What subtraction problem has a value of 2/3

Answers

Answer:

You have a full amount of chocolate cake and you eat [tex]\frac{1}{3}[/tex] part of the cake and left the remaining amount for the next day. So, what amount of cake that you left for the next day?

Step-by-step explanation:

We have to make a subtraction problem so, that the answer to the problem is [tex]\frac{2}{3}[/tex].

Now, the problem may be described as follows :

You have a full amount of chocolate cake and you eat [tex]\frac{1}{3}[/tex] part of the cake and left the remaining amount for the next day. So, what amount of cake that you left for the next day?

So, the solution is [tex](1 - \frac{1}{3}) = \frac{2}{3}[/tex] amount of the cake. (Answer)

Dante decided to spent only $20.00of his allowance and save the rest for later. Can he buy 12 packs of baseball cards?Why or why not​

Answers

Answer:

yessssssssssssssssssssssssss

What is the equation of the line that has an x-intercept of 2 and a y-intercept of 8?
A y= 2x + 10
B y= 2x + 5
C y= -2x + 10
D y= -2x + 5

Answers

Answer:

x-int: (2, 0)

y-int: (0,8)

(8-0)/(0-2)= 8/-2=  -4

y - 0 = -4(x - 2)

y = -4x + 8

Step-by-step explanation:

Can someone explain the difference between the perimeter and the circumference?
REAL ANSWER PLEASE WILL GIVE BRAINLIEST

Answers

Answer:Perimeter is the limit of any given geometric figure. Circumference is just the name given to a circle’s perimeter, in other words, the circle’s limit, its edge.

The reason for this is because the perimeter is, by definition, the sum of the lenghth of every side of any given geometric figure. A circle has either no sides, or number of sides, so its perimeter has to be treated differently.

Remember that π (Pi) equals 3.141592 approximately. This is a constant, meaning that no matter what circle you are studying, Pi will always have the same value. It is the relation between the diameter and the lenght of its circumference. A circle with diameter xwill travel 3.141592x before it completes a revolution. This is where Pi comes from.

So the difference would be that a “normal” perimeter is only the sum of the sides. A circumference is the perimeter of a circle, given a diameter and the constant value of Pi, that derives from other properties of the circle, and not by its sides (remember a circle has either none or nnumber of sides).

perimeter is for a geometric shape (square, triangle, diamond, rectangle,etc.), whereas circumference is the “perimeter” of a circle

One cup equals approximately 236 ml. Approximately how many ml are there in one gallon

Answers

Answer:

Approximately there are 3,785.6 milliliters in one gallon

Step-by-step explanation:

Let's find out how many milliliters are there in one gallon.

1 US Cup = 236.6 ml (actual equivalence)

Let's recall that:

16 US Cups = 1 US Gallon

Therefore,

1 US Gallon = 16 * 236.6 ml

1 US Gallon = 3,785.6 ml

Approximately there are 3,785.6 milliliters in one gallon

Paleontologists believe the Diplodocus dinosaur weighed about 24,000 pounds. The
average person can lift 150 pounds. Approximately how many people would it take to lift
a Diplodocus?​

Answers

Answer:

  160 people

Step-by-step explanation:

  (24000 lb)/(150 lb/person) = (24000/150) persons = 160 persons

If the weight could be evenly distributed, it would take about 160 people to lift a diplodocus.

Help, explain, then you get brainliest and points.

Answers

The scale will draw UP to a larger dimension.

The width would be 16 and the length would be 24.

When you scale factor. You basically multiply its initial number by the amount of ratio given. Since it said scale factor 4. You multiply the width and length by 4.

Two students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent. 6 - (2 - 4x)

Sophia: 6+2+4x
Sophia's expression is incorrect/correct because ______.

Ursula: 6−(−2x)
Ursula's expression is incorrect/correct because _______.

Equivalent Expression
A correct equivalent expression is ______.

Answers

Sophia's expression is incorrect because she did not multiply 2 by -1 correctly.

Ursula's expression is incorrect because she cannot simplify 2-4x.

A correct equivalent expression is 6-2+4x.

What can I say? I got this correct on ttm.

Hope you have a great day~

Two cars start at the same time, but travel in opposite directions. One car's average speed is 80 miles per hour (mph). At the end of 4 hours, the two cars are 520 miles apart. Find the average speed in mph of the other car. (Enter an exact number.

Answers

Final answer:

The average speed of the second car is calculated by subtracting the distance traveled by the first car from the total distance apart, and then dividing by the time elapsed. The second car has an average speed of 50 mph.

Explanation:

The student is asking for help to find the average speed of the second car when two cars, starting at the same point and traveling in opposite directions, end up being 520 miles apart after 4 hours. The first car travels at an average speed of 80 mph.

To solve this, we need to calculate the total distance covered by both cars in the time frame given. We already know the total distance apart is 520 miles.

The first car travels at 80 mph for 4 hours, covering 80 mph * 4 h = 320 miles. To find out how far the second car traveled, subtract the distance covered by the first car from the total distance apart: 520 miles - 320 miles = 200 miles.

Finally, to find the average speed of the second car, divide the distance traveled by the time. Thus, the second car's average speed is 200 miles / 4 h = 50 mph.

Final answer:

To find the average speed in mph of the other car, divide the total distance traveled by the time. Subtract the first car's average speed from the total speed to find the other car's average speed.

Explanation:

To find the average speed in mph of the other car, we need to determine the total distance traveled. Since the two cars are 520 miles apart at the end of 4 hours, we can divide the total distance by the time to find the average speed.

The first car has an average speed of 80 mph, so the total distance traveled by both cars is 80 mph * 4 hours = 320 miles.

The other car's average speed can be found by subtracting the first car's average speed from the total speed: 320 miles - 80 mph = 240 mph.

Bill spent less than 26$ on a magazine and five books. The magazine cost 4$
Write an inequality to represent the situation. Be sure to define your variable.
Solve the inequality to find the maximum cost each book.

Answers

Answer:

24 dollars

Step-by-step explanation:

6$for each one if u multiply then you'll get the number

Answer:

$24.00

Step-by-step explanation:

hope i helped

An irregular polygon is shown below:

The area of the irregular polygon is




square units.

Answers

Answer:

15 units²

Step-by-step explanation:

The figure is composed of 2 rectangles.

The rectangle on the left has

A = 4 × 3 = 12 units²

The rectangle on the right has

A = (3 - 2) × (7 - 4) = 1 × 3 = 3 units²

Thus area of figure = 12 + 3 = 15 units²

Final answer:

To find the area of an irregular polygon, divide it into regular shapes and sum their areas. The area of a square is simple: side length squared. When scaling, areas of similar shapes increase by the square of the scaling factor.

Explanation:Understanding Area Calculation

To calculate the area of an irregular polygon, we often need to divide it into regular shapes such as triangles, rectangles, or squares. Once we do that, we can calculate the area of each shape and then sum all the areas to find the total area of the irregular polygon. For instance, if an irregular shape fits within a square of side a, its area is less than based on the premise that the area of a circle inscribed in a square is smaller than the square's area yet larger than half. For a square, the calculation is relatively straightforward with the formula for area being side length squared (a²).

Calculating the area becomes even more important when applied to real-life examples, such as surveying land parcels which can have highly irregular outlines. The concept is similar to understanding the relationship between the area of a square and its side length when measuring larger plots of land like a state or a carpet on a house's blueprint. We use scales or conversion factors to translate a drawn measurement to actual size.

The comparison of areas can also be seen in the example where Marta's larger square's area is four times that of the smaller one because areas of similar shapes scale by the square of the scaling factor (in this case, 2).

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The population of growth of a town is 20,000 it decreased at a rate of 9% per year in about how many years will the population be fewer than 13,000

Answers

Answer:

4 years

Step-by-step explanation:

9% of the population is 1800. subtract that to get 18200. thats 1 year. subtract again to get 16400. thats 2 years. again to get 14600. 3 years. and then again to get 12800 which is less than 13000. so its 4 years.

Final answer:

Using the exponential decay formula, it takes approximately 8 years for a town's population of 20,000 to decrease to fewer than 13,000 at a yearly decrease rate of 9%.

Explanation:

The question involves calculating the number of years it takes for a town's population to decrease to fewer than 13,000 given an initial population of 20,000 and a yearly decrease rate of 9%. To solve this, we use the formula for exponential decay, which is P(t) = P₀[tex]e^{rt}[/tex], where P(t) is the population at time t, P0 is the initial population, r is the rate of decrease, and t is the time in years.

Substituting the given values, we have 13,000 = 20,000[tex]e^{-0.09t}[/tex]. Solving for t, we take natural logarithms on both sides, which gives ln(13,000/20,000) = -0.09t, leading to t = ln(13,000/20,000) / -0.09. This calculation yields t ≈ 8.04 years, meaning the population will be fewer than 13,000 in about 8 years.

This is a practical application of exponential decay in analyzing population dynamics, highlighting how populations decrease over time under consistent negative growth rates.

how old am I if 20 reduced by two times my age is 16

Answers

Answer:

20-2x=16

Divide all by 2

10-x=8

x=2,

Step-by-step explanation:

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.

Select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00.
A:
5 necklaces and 1 bracelet
B:
2 necklaces and 5 bracelets
C:
3 necklaces and 3 bracelet
D:
4 necklaces and 2 bracelets
E:
3 necklaces and 5 bracelets
F:
6 necklaces and no bracelets
G:
No necklaces and 8 bracelets

Answers

Answer:

The combinations of necklaces and bracelets that the artist could sell for exactly $12.00 are

B: 2 necklaces and 5 bracelets

D: 4 necklaces and 2 bracelets

G: No necklaces and 8 bracelets

Step-by-step explanation:

let the number of necklace be x

the number of  bracelets be y

Then

The cost of one  necklace is $2.25

The cost of one bracelets is $1.50

Thus

x(2.25)  + y(1.50) = 12.00-------------------------(1)

Option A : 5 necklaces and 1 bracelet

(5)(2.25)  + (1)(1.50) = 12.00

11.25 +  1.50  =  12.00

12.75 > 12.00

Option B :2 necklaces and 5 bracelets

(2)(2.25)  + (5)(1.50) = 12.00

4.5 +  7.5 =  12.00

12. 00 = 12.00

Option C:  3 necklaces and 3 bracelets

(3)(2.25)  + (3)(1.50) = 12.00

6.75 + 4.50 =  12.00

11.25 < 12.00

Option D: 4 necklaces and 2 bracelets

(4)(2.25)  + (2)(1.50) = 12.00

9.00 + 3.00 = 12.00

12.00 =  12.00

Option E: 3 necklaces and 5 bracelets

(3)(2.25)  + (5)(1.50) = 12.00

6.75 + 7.5 = 12.00

14.25 >  12.00

Option F: 6 necklaces and no bracelets

(6)(2.25)  + (0)(1.50) = 12.00

13.5  + 0 = 12.00

13.5 > 12.00

Option G: No necklaces and 8 bracelets

(0)(2.25)  + (0)(1.50) = 12.00

0 +12.00= 12.00

12.00 =  12.00

The combinations of necklaces and bracelets that the artist could sell for exactly $12.00.

B: 2 necklaces and 5 bracelets

D: 4 necklaces and 2 bracelets

G: No necklaces and 8 bracelets

Since the artist is selling necklaces at $2.25 each, and bracelets at $1.50 per each, then the corresponding values will be:

2(2.25) + 5(1.50) = 4.50 + 7.50 = 12.00

4(2.25) + 2(1.50) = 9 + 3 = 12.00

0(2.25) + 8(1.50) = 0 + 12 = 12

In conclusion, the correct options are B, D, and G.

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assume that y varies directly with x, then solve.
if y=2 2/3 when x=1/4, find y when x=1 1/8.
y=?

Answers

Answer:

12

Step-by-step explanation:

y = kx

2⅔ = k(¼)

8/3 = k/4

k = 4×8/3 = 32/3

y = (32/3)x

y = (32/3)(1⅛)

y = (32/3)(9/8)

y = 3×4 = 12

You sell a smartphone that was originally priced at $600 but is now on sale for 20% off. You give a loyalty customer an additional 10% discount. What is the total percent of discount the customer receives on the purchase?

Answers

Answer:

30% is what was given off the phone

$180 was the deduction price on the phone

Step-by-step explanation:

The price was actually $600

A discount of 20% was given on it

Then late extra 10%

Add of the percentage

20+10=30% off the actual price

30% of $600

30/100*600

18000/100=$180

Answer:

Its 28%

Step-by-step explanation:

I don't know step by step all the others were wrong on here so I picked 28% and it said correct

50 pounds to 35 pounds

Answers

50;35 pounds. proportion

50 pounds to 35 pound

That is 15 pound decrease and a 15/50 times 100 percent decrease.

15/50 x 100 = 30% decrease

answer: 30% decrease

What’s the x-intercepts, vertex, y-intercept? y=(x+1)2-16

Answers

The vertex is (-1, -16)

x intercepts is : (3, 0) or (-5, 0)

y intercept is (0, -15)

Solution:

Given is:

[tex]y = (x+1)^2 - 16[/tex]

The vertex form of an equation is given as:

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

Where, (h, k) is the vertex

On comparing the above equation with given,

h = -1

k = -16

Thus the vertex is (-1, -16)

Find the x intercept:

To find the x-intercept, substitute y = 0 in given

[tex]0 = (x + 1)^2 - 16\\\\x^2 + 2x + 1 - 16 = 0\\\\x^2 + 2x - 15 = 0\\\\Split\ the\ middle\ term\\\\x^2 - 3x +5x - 15 = 0\\\\(x^2 -3x) + (5x - 15) = 0\\\\x(x - 3) + 5(x - 3) = 0\\\\Factor\ out\ x - 3\\\\(x-3)(x + 5) = 0\\\\x = 3\\\\x = -5[/tex]

Thus x intercepts is : (3, 0) or (-5, 0)

Find the y intercept:

To find the y-intercept, substitute x = 0 in given

[tex]y = (0+1)^2 - 16\\\\y = 1 - 16\\\\y = -15[/tex]

Thus the y intercept is (0, -15)

You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.
What is P(draw a blue marble)?
If necessary, round your answer to 2 decimal places.

Answers

Answer:

[tex]P(Blue)=0.60[/tex]

Step-by-step explanation:

Probability: [tex]Probability\ of\ an\ event=\frac{favourable\ outcome}{total\ outcome}[/tex]

[tex]Total\ marbles=20\\\\Hence\ total\ outcomes=20\\\\Blue\ marbles=12\\\\Hence\ favourable\ outcomes=12\\\\P(Blue)=\frac{12}{20}\\\\P(Blue)=\frac{2\times 6}{2\times 10}\\\\P(Blue)=\frac{6}{10}\\\\P(Blue)=0.60[/tex]

Eileen and her brother Andrew had a bicycle race. Eileen Rode at a speed of 20 ft per second while Andrew Rode at a speed of 15 ft./s. To be fair, Eileen decided to give Andrew a 150 foot Headstart. The race ended in a tie how far away was the finish line from where Eileen started include a graph to support your solution

Answers

Eileen was 600 feet away from the finish line before the race began.

Step-by-step explanation:

Step 1; Eileen rode at a speed of 20 feet per second whereas Andrew rode at a speed of 15 feet per second. So for every second that passes the distance in between decreases by 5 seconds. Assume x is the number of seconds at which the distance in between is 0. The distance in between at the beginning of the race is 150 feet due to the headstart.

Distance between them = Decreasing distance every second × x

150 feet = 5 feet/ second × x

x = 150 feet / 5 feet/second = 30 seconds.

So it takes Eileen 30 seconds to cover the distance between her and Andrew and cross the finishing line at the same time.

Step 2; The race lasted for 30 seconds so we can find the distance Andrew and Eileen traveled by multiplying their speed per second with the total number of seconds.

Distance Andrew traveled = speed per second × total number of seconds

= 15 feet per second × 30 seconds = 450 feet

Distance Eileen traveled = speed per second × total number of seconds

= 20 feet per second × 30 seconds = 600 feet

Graph plot;

The X-axis is time with 5 seconds for each cm

the y-axis is distance with 100 feet for each cm.

Eileen's plot (0,0), (5,100), (10,200), (15,300), (20,400), (25,500), (30,600).

Andrew's plot (0,150), (5,225), (10,300), (15,375), (20,450), (25,525), (30,600).

What helper fact did you double to solve 8 x 6

Answers

Answer: 48

Step-by-step explanation:

You can either add 8 six times or get a calculator and solve.

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Joined groups such as the Sierra ClubOC. Joined labor unionsOD. Pushed for limits on immigrationSUBMIT Merediths baby is 2 weeks overdue. What is a potential hazard that the baby can experience because it is postmature? 1.What is viscosity?2.True or False- All fluids can be characterized by their viscosity?3.List 3 examples of fluids with high viscosity. (molasses, motor oil, honey)4.List 3 examples of fluids with low viscosity. (water, juice, rubbing alcohol)5.What is the question we are trying to answer in this lab?6.Write a good hypothesis for this lab. (If, then statement)7.List at least 2 safety concerns.8.Why do you not want to mix water with the honey?9.What can you do if the honey moves too fast or too slowly?pls answer Car 1 goes around a level curve at a constant speed of 65 km/h . The curve is a circular arc with a radius of 95 m . Car 2 goes around a different level curve at twice the speed of Car 1. How much larger will the radius of the curve that Car 2 travels on have to be in order for both cars to have the same centripetal acceleration What do Keynesians mean when they say that "you can't push on a string"?a. An increase in the supply of goods does not really create its own demand.b. If the government reduces taxes in an attempt to increase household consumption, it will not always work.c. An increase in the money supply will not always stimulate the economy.d. If the government wants to get something done, the best way is not to force the issue, but to offer incentives.e. If the government puts too much expansionary pressure on the economy, it will probably "overheat." Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 feet. Questions: (a)What is the length of the garden in her model? Show your work, including your proportion. (b)If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not? Find the area of the square as a single expression.A)6x + 4B)2x2 + 4xEliminateC)2x + x + 2D)x2 + 2x + 2 For questions 6-8, evaluate theexpression and give the exact value, ifpossible. Otherwise, approximate to thenearest tenth.643116 A test of intelligence is given to a subject. The subject scores 110 on the first administration. Six months later, the same subject is given the same test again and receives a score of 75. After another six months has passed, the subject is given the test one last time and receives a score of 138. What conclusions can be drawn from these scores?The scores are not valid. George Kyparisis owns a company that manufactures sailboats. Actual demand for George's sailboats during each of the past four seasons was as follows: Year Season 1 2 3 4 Winter 1 comma 440 1 comma 240 1 comma 000 920 Spring 1 comma 500 1 comma 440 1 comma 600 1 comma 500 Summer 1 comma 040 2 comma 140 2 comma 000 1 comma 900 Fall 600 770 690 520 George has forecasted that annual demand for his sailboats in year 5 will equal 6 comma 500 sailboats. Based on the given data and using the multiplicative seasonal model, the demand level for George's sailboats in the spring of year 5 will be nothing sailboats (enter a whole number). Write a program that uses a two dimensional array to store the highest and lowest temperatures for each month of the calendar year. The temperatures will be entered at the keyboard. This program must output the average high, average low, and highest and lowest temperatures of the year. The results will be printed on the console. The program must include the following methods: the area of a rectangular painting is 5346cm square. if the width of the painting is 66 centimeters what is its lenght Harold Burton writes a check "payable to Debra or Kelsey." On this instrument, Debra and Kelsey are . When an instrument is made payable to two or more persons jointly (by use of the word "and"), all of the payee's' endorsements are necessary for negotiation. Whenever an instrument payable to two or more persons does not clearly indicate whether it is payable in the alternative or payable jointly, then the instrument is payable jointly. When a drawer gives one alternative or joint payee a check, the drawer's obligation on the check to other payees is . dentify the Pythagorean triple. A)3, 6, 12 B)8, 16, 32 C)12, 34, 30 D)28, 45, 53