Please help me with this math problem, (: brainly if correct

Please Help Me With This Math Problem, (: Brainly If Correct

Answers

Answer 1

The profit to the company will be maximum that means pear company should produce 11000 phones for the maximum profit.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Function representing the cost to the manufacturer is,

C(x) = -20x²+ 48000x + 19351

A function that represents the revenue generated is,

R(x) = -23x² + 114000x

Function representing profit to the company,

Profit = Revenue generated - Cost price

        = -23x² + 114000x - ( -20x²+ 48000x + 19351)

        = -23x² + 20x² + 114000x - 48000x - 19351

P(x)  = -3x² + 66000x - 19351

Since this function is a quadratic function, the maximum price generated would be x = -b/2a

From the given quadratic function, a = (-3), b = 66000 and c = -19351

x = - 66000/ 2(-3)

x = -66000/-6

x = 11000

x = 11000 the profit to the company will be maximum.

That means pear company should produce 11000 phones for the maximum profit.

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Related Questions

1. Daniel needs to add a fence around the apartment swimming pool. The pool is 25 ft. by 20 ft., and the owner wants the fence to be 4 feet from the poolside. How many feet of fencing will Daniel need? (1) 45 (2) 90 (3) 98 (4) 106 (5) 122​

Answers

Answer:

(5) 122 feet

Step-by-step explanation:

Perimeter of fencing:

[tex]2((25 + 4 + 4) + (20 + 4 + 4))[/tex]

[tex]2(33 + 28) = 2(61) = 122[/tex]

Help me asap …………..p

Answers

Answer:

1.) Tan C = [tex]\frac{12}{5}[/tex]

2.) Sin Z = [tex]\frac{24}{26}[/tex] or [tex]\frac{12}{13}[/tex] if reduced

3.) Cos A = [tex]\frac{15}{17}[/tex]

4.) Cos A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

Let's keep in mind that;

Sin = [tex]\frac{opposite}{hypotenuse}[/tex]

Cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan = [tex]\frac{opposite}{adjacent}[/tex]

Hope this helps!

Solve for X:

Use the side-splitting theorem to solve for x.

If necessary, round your answer to the nearest tenth.

Answers

Answer:

x=13

Step-by-step explanation:

Side Splitter Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, it divides both sides proportionally.

21/14 =1.5

6x1.5 = 9

x-4=9

x=13

A couch went on a 16% off sale. The sale price is given as $1008. What was the original price of the couch?

Answers

Answer:

1200 dollars

Step-by-step explanation:

x-0.16x=1008

.84x=1008

x=1200 dollars

Let f(x)=2x-3 and g(x)=x+4. Find f(g(x)) and g(f(x)).

f(g(x)) =

Answers

Answer:

f(g(x)) = =2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

Sorry, I'm not sure about g(f(x)).

Step-by-step explanation:

f(g(x))=f(-x^2+5)=2x-3

=2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

HELP
The ceiling of Joey's living room is a square that is 22 ft long on each side. Joey knows the diagonal of the ceiling from corner to corner must be longer than 22 ft.

(a) he thinks that because a square cut and half forms a special right triangle the diagonal as the hypotenuse so he multiplies the side by 2 to get 44 ft what is Joey's mistake
(b) what is the correct length of the diagonal in Joey ceiling used to correct the special right triangles shortcut (give exact answer no rounding)
(c) used either the pythagorean theorem or the correct trigonometry ratios to solve for the length of the diagonal ( round to nearest tenth of a foot )

make sure to show all your work

I will report if you comment something random to just get points

Answers

Answer:

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the length of the diagonal, Usinng Pythagoras:

d² = 22² + 22²

d = 31 feet

Using trigonometric identity:

sin(45) = 22/d

d = 31 feet

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

Find out more on equation at: brainly.com/question/2972832

Step-by-step explanation:

50 points each question. Please help. How do I solve?

Answers

     [tex]I=\displaystyle \int \dfrac{\sqrt x}{\sqrt x -4} ~dx\\\\\text{Let,}\\\\~~~~u=\sqrt x-4\\\\\implies \dfrac{du}{dx} = \dfrac d{dx} \left( \sqrt x -4 \right)\\\\\implies \dfrac{du}{dx} = \dfrac 1{2 \sqrt x} \\\\\implies dx =2\sqrt x~ du\\\\\\I= \displaystyle \int \dfrac{u+4}{u+4 -4 } 2(u+4) du\\\\\\~~~=2\displaystyle \int \dfrac{(u+4)^2}{u} du\\\\\\~~~=2\displaystyle \int \dfrac{u^2+ 8u+16}{u} du\\\\\\~~~=2\displaystyle \int \left(u+8+\dfrac{16}u\right) du\\\\\\[/tex]

    [tex]~~~=2\left(\displaystyle \int u ~ du + \displaystyle \int 8 ~ du + \displaystyle \int \dfrac{16} u ~ du\right) \\\\\\~~~=2\left( \dfrac {u^2}2 + 8u+16\ln |u| \right) +C\\\\\\~~~~= u^2 + 16u+ 32 \ln |u|+C\\\\\\~~~~=\left( \sqrt x -4 \right)^2 + 16\left( \sqrt x -4 \right) +32 \ln |\sqrt x -4|+C\\\\\\~~~~= x-8\sqrt x+16 +16\sqrt x -64 +32 \ln \left|\sqrt x-4 \right|+C\\\\\\\~~~~=x+8\sqrt x -48 +32\ln|\sqrt x -4| +C[/tex]

Question 8 (1 point) (04.03 MC) Calculate the area of triangle ABC with altitude CD, given A (-3,-4), B (-6,2), C (0,0), and D (-4,-2). Оа 14 square units Oь Ос 15 square units 18 square units Od 20 square units​

Answers

Answer:

the answer is C

Step-by-step explanation:

Choose the factor pairs of 25.
1 and 25, 3 and 10, 5 and 6
1 and 25, 3 and 9
1 and 25, 2 and 11
1 and 25, 5 and 5

Answers

Answer:

1 and 25, 5 and 5

Step-by-step explanation:

because both 5×5=25 and 1×25=25 and 1×5=5 are all equal factor pairs of 25.

The product of the ages of a man and his son is 160. In four years time, the man will be four times as old as his son. Find their ages.​

Answers

Answer:

father = 32    s = 5 y/o

Step-by-step explanation:

f s = 160  ====>   s = 160/f

f+4 = 4 ( s+4)  

f + 4 = 4 (160/f +4)

f + 4 = 640/f + 16

f^2 + 4f = 640 + 16 f

f^2 -12f - 640 = 0      Use Quadratic formula to find  f =  32   then s = 5

HHHHHHHHHHHHHEEEELLLLLPPP MEEEEEE


After x-2y=8 is put in slope-intercept form, what are the slope and y-intercept?

A. m= -1/2 and b= 4
B. m= -2 and b= 8
C. m= 1/2 and b= -4
D. m= 2 and b= -8

Answers

Answer:

C. m=1/2 and b=-4

Step-by-step explanation:

To get the slope-intercept notation, you have to convert Ax+By = C to y = mx + b. We can do that by simply moving y to the left side and the rest to the right, or simply use the formula of m = -A/B, b = C/B

We'll do both, they're the same really.

x-2y=8

x-8=2y

2y=x - 8

y = 1/2*x - 4

Alternatively

x-2y=8

A = 1

B = -2

C = 8

m = -(1/-2) = 1/2

b = 8/-2 = -4

What is the slope of the line that passes through the points (6,2) and (-18, 2)?
Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

(x,y)      slope is change in y / change in x⇒  Δy/Δx

(6,2)

(-18,2)

Δy = 2-2 = 0

Δx = 6-(-18) = 24

because the y values are the same, when you subtract you a slope of 0/24 or just 0 a horizontal line (because y is always =2)


Tea Off served a total of 7,330 cups of chamomile tea to its customers last year. This year, the number
of served was 10% lower. How many cups of chamomile tea did the care serve this year?

Answers

Answer:

6,597 cups

Step-by-step explanation:

y=0.9x x=7,330 7,330 x 0.9= 6,597

Find the equation of an exponential function of the form y = ab^x that passes through the points (3,13.5) and (5,30.375).

Answers

Let's see

y=ab^x

Check coordinates

13.5=ab³-(1)

Find a

a=13.5/b³---(2)

And

30.375=ab⁵

Put value from second one

30.375=13.5b⁵/b³30.375=13.5b²b²=2.25b=1.5

Put in second one

a=13.5/b³a=13.5/1.5³a=13.5÷3.375a=4

So the equation is

y=4(1.5)^x

Answer:

[tex]y=4(1.5)^x[/tex]

Step-by-step explanation:

General form of an exponential function: [tex]y=ab^x[/tex]

where:

a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Given ordered pairs:

(3, 13.5)  and  (5, 30.375)

As the y-values are increasing, the function is increasing, so b > 1

Input the given ordered pairs into the general form of the equation:

[tex]\implies ab^3=13.5[/tex]

[tex]\implies ab^5=30.375[/tex]

To find b, divide the second equation by the first:

[tex]\implies \dfrac{ab^5}{ab^3}=\dfrac{30.375}{13.5}[/tex]

[tex]\implies b^2=2.25[/tex]

[tex]\implies b=\pm \sqrt{2.25}[/tex]

[tex]\implies b= \pm 1.5[/tex]

As the function is increasing, b > 1:

⇒ b = 1.5  only

Substitute the found value of b into one of the equations and solve for a:

[tex]\implies a(1.5)^3=13.5[/tex]

[tex]\implies 3.375a=13.5[/tex]

[tex]\implies a=\dfrac{13.5}{3.375}[/tex]

[tex]\implies a=4[/tex]

Therefore, the final exponential equation is:

[tex]y=4(1.5)^x[/tex]

The mark up price of a pair of shoes which costs $245.00 is 5.75%. a)What is the final price? If the tax is 5 3/4 % How much will be paid for that pair of shoes?

Answers

The mark up price of the shoe would increase the final price

The final price of the shoe is $259.0875The final price of the shoe after tax is $273.98503125

The final price of the shoe

The given parameters are:

Cost = $245.00Mark up price = 5.75%

The final price is calculated using:

Final = Cost * (1 + Mark up)

This gives

Final = 245* (1 + 5.75%)

Evaluate

Final = 259.0875

Hence, the final price of the shoe is $259.0875

The final price of the shoe, after tax

In (a), we have:

Final = 259.0875

Given that the tax is 5 3/4%, the final price after tax would be

After tax = Final * (1 + Tax)

So, we have:

After tax = 259.0875 * (1 + 5 3/4%)

Evaluate

After tax = 273.98503125

Hence, the final price of the shoe after tax is $273.98503125

Read more about mark up at:

https://brainly.com/question/1153322

Given the circle below with the secant FED and tangent CD, find the length of FE. Round to the nearest tenth if necessary.

Answers

The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units

How to determine the length FE?

The lengths are given as:

DE = 12 unitsCD = 16 units

Start calculating the length DF using:

DE * DF = CD²

So, we have:

12 * DF = 16²

Evaluate the exponent

12 * DF = 256

Divide both sides by 12

DF = 21.3

The length FE is then calculated using:

DF = FE + DE

Substitute DE = 12 and DF = 21.3

21.3 = FE + 12

Subtract 12 from both sides

FE = 21.3 - 12

Evaluate the difference

FE = 9.3

Hence, the length of FE in the circle is 9.3 units

Read more about tangents and secants at:

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Countries that do not have enough resources to meet the needs of their population are said to be suffering from what?
A. Overpopulation
B. Urbanization
C. Pollution
D. Industrialization

Answers

I’m not sure but I think it’s overpopulation

Answer:

D. Industrialization cause of poverty.

Question 10
Graph g(x) =
Y
<
- 4(x - 2)² + 4.
10-9-8-7 -6 -5 -4 -3 -2 -1
-2
-3
-4
-5
-6
-7
-8
-9
10
Clear All Draw:
ZAV
Question Help: Video
Add Work
>
10+
9
8
7-
6
S
4
3
2
21
1 2 3 4 5 6 7 8 9 10

Answers

Answer:

2?

Step-by-step explanation:

[tex] \large \red{\frak{ Question}}[/tex]
The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000. The difference of their salaries is ₹2000. If B’s salary is less than that of A, then what is the salary of B (in ₹)?
(a) 8000 (b) 2000
(c) 6000 (d) 12,000​
[tex] \pink{ \dag \: \large\sf{ With \: Explanation }}[/tex]
​[tex] \blue{ \dag \: \large\sf{No Spam }}[/tex]

Answers

Answer:

[tex] \sf \: \fbox{Option C) \: The salary of B is 6000₹}[/tex]

Step-by-step explanation:

Let the salary or A is x and salary of B is y.

now,

Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.

writing above statement in equation form,

[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000[/tex]

Multiplying above equation with twelve,

[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1[/tex]

and condition two,

The difference of their salaries is ₹2000

[tex] \sf \: x - y = 2000[/tex]

Multiplying above equation with 20

[tex] \sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2[/tex]

On adding equation 1 and equation 2,

[tex] \sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}[/tex]

Substituting the value of x in,

[tex] \sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}[/tex]

[tex] \sf \: \fbox{The salary of B is 6000₹}[/tex]

Thanks for joining brainly community!

ILL GIVE BRAINELST

If the area of C is
400 ft2 and the
perimeter of B is 64 ft,
what is the side length
of square A?

Answers

Answer:

A = 12 ft

Step-by-step explanation:

Perimeter ( of SQUARE) B = 64

  then each side = 64/4 = 16

AREA of SQUARE C = 400

    side X side = 400

        then side = sqrt 400

Now use Pyhtagorean Theorem to find leg of right triangle that is

   side A  Side B  hypotenuse Side C

A^2 + 16^2 = (sqrt 400)^2

A^2 = 400 - 256

A^2 = 144       then A = 12  Ft

Find the measures of angles 1 and 2. If necessary, round to the tenths place. Hint: Do not assume that Point D is the center of the circle. A. mZ1 = 20° m2 = 20° B. m2 = 40° m2 = 140° C. ml = 82.5° mZ2 = 97.50 D. m1 = 97.5° m2 = 82.5°

Answers

Answer:

C. m<1 = 82.5 m<2 = 97.5

Step-by-step explanation:

Find the next two terms in this sequence.

1,2,6,24,120, [??],[??]

Answers

Answer:

720, 5040

Step-by-step explanation:

It's always times plus 1. So,
1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5040

A pet store has 150
150
goldfish and betta fish altogether.
The ratio of goldfish to betta fish is 2:3
2:3
.

How many goldfish does the pet store have?


CLEAR CHECK
What fraction of the fish are goldfish?



How many goldfish does the pet store have? goldfish

Answers

Answer:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Step-by-step explanation:

Let the goldfish be G.

• Let the betta fish be B.

Given the following data:

• Total number of fishes = 150 fishes.

• Ratio of G to B = 2:3

• Total ratio= 2 + 3 = 5

To calculate the number of goldfish that the pet store have:

What is ratio?

Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Mathematically, the number of goldfish in the pet store is given by this expression:

2 G = x 150 5

G = 0.4 x 150

G = 60 fishes.

Pls help me
Pls show your answer pls and thank you

Answers

Answer:

Step-by-step explanation:

Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.

Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5

PLEASE HELP QUICKLY
The graph shows the relationship between the number of female eastern bluebirds observed by a biologist and the total number of eggs laid. Complete the given equation to show the relationship between b, the number of female eastern bluebirds observed, and t, the total number of eggs laid

Answers

The equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

How to get the slope intercept form of a straight line equation?

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

Let we take:

b = the number of female eastern bluebirds observed

t = the total number of eggs laid

Since the relationship between b and t is forming a line, so it can be modeled by linear equation.

Here, we take 'b' as independent variable,  and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:

[tex]t = mb + c[/tex]

For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.

Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.

and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5

Thus, the equation is:

[tex]t = 5b + c[/tex]

At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:

[tex]5 = 5(1) = c\\c = 5-5=0[/tex]

Thus, the relation between t and b is t = 5b + 0= 5b

Thus, the equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

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7 copper spheres with radii of 4
inches are melted and formed into a
cube. How tall is the cube?

Answers

We will see that the cube must be 10.23 inches tall.

How tall is the cube?

The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:

V = (4/3)*3.14*R^3

In this case, the radius is 4 inches, so we can write:

V = (4/3)*3.14*(4 in)^3 = 267.95 in^3

Then the volume of the 4 spheres is:

4*267.95 in^3 = 1,071.79 in^3

The volume of a cube of side length S is given by:

V = S^3

Then we must have:

S^3 = 1,071.79 in^3

S = ∛(1,071.79 in^3) = 10.23 in

We conclude that the cube is 10.23 inches tall.

If you want to learn more about spheres, you can read:

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Which series of transformations occurred to move the blue figure to the red figure? a translation and then a reflection
a reflection and then a 180-degree rotation about the origin
a 90-degree rotation counterclockwise about the origin and then a reflection
a reflection and then a reflection

Answers

Answer:

A translation and then a reflection

Step-by-step explanation:

A translation of 5 to the left, and then a a reflection across the x axis.

Pls help I need it quickly thanks

Answers

Answer:

56n thats what ben said

Step-by-step explanation:

hohoho corent answer

I really need help like fast please

Answers

Answer:  I'm pretty sure the measure is 122 degrees

Step-by-step explanation:

Luis has a bag that contains strawberry chews, apple chews, and peach chews. He performs an experiment. Luis randomly removes a chew from the bag, records the result, and returns the chew to the bag. Luis performs the experiment 37 times. The results are shown below:
A strawberry chew was selected 8 times.
A apple chew was selected 14 times.
A peach chew was selected 15 times.

Based on these results, express the probability that the next chew Luis removes from the bag will be a flavor other than strawberry as a fraction in simplest form.

Answers

The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is

[tex]\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}[/tex]

Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

Learn more about Probability:

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Amoeba sisters video recap the eleven human body systems Gianna was coming home from work and could not help but notice the young woman who seemed to be driving in a reckless manner. She immediately wondered if the girl was in an emergency or if something important was going on to make her drive like that. Gianna just made a(n) _____. Which best explains how this conflict and resolution develop the plot of the story? When Mary first arrives at Misselthwaite, she flies into a rage at her housemaid, Martha, calling her a "daughter of a pig." The conflict resolves when Mary bursts into tears and Martha comforts her. A. After Mary stops crying. Martha helps her get dressed. B. Martha tells Mary about her brother Dickon to make her feel better. C. Mary receives care and love for the first time in her life and begins to respond to it. D. Martha learns to become properly frightened of Mary and begins to serve her in the manner Mary is used to. Question 34(Multiple Choice Worth 3 points)(Citizenship 02.05 MC)Which of the following explains why Americans do not have unlimited rights?O Rights without limits is just another phrase for anarchy or the absence of government.O People cannot be trusted to use their rights wisely, so officials must create restrictions.O Sometimes individual rights conflict with the rights of others or threaten public safety.O Early leaders of the country never intended for the rights to apply to all of the people. Mark said, "in the data set,4, 5, 5, 8, the mean and mode the same. " Is he correct? Explain why or why not in your explanation make sure to state the value of the the means and the mode what devices do not allow data stored on them to be modified. Several European countries suffered from financial crises at the same time as the United States. Select the country that matches each particular crisis.a. In 2013, ______________ suffered from an unemployment rate of 25% and huge amounts of debt.b. ______________ suffered under interest rates of 25% after the recession hit the shipping industry hard.c. In ______________, the newest member of the Eurozone, politicians have a great deal of control over the banking industry.d. ______________ was unable to cut the government budget because the courts overturned key laws.e. The crisis in ______________ began much as it did in the United States, when a housing bubble burst.f. In spite of many bank failures, the people of ______________ did not want investors and banks to receive a government bailout.g. ______________ remained in a recession longer than other nations, due to very slow economic growth.WORD BANKIrelandGreecePortugalCypressSpainItalySlovenia List these from most important to least important 6. What is the "elastic clause"? Why is it called that? Which factor contributed most to the growth of the middle class? A company claims that 9% of the items produced on a new machine are defective. The factory will get rid of the machine if the data indicates that the proportion of defective items is more than 9%. They take a random sample of 300 items and 50 are defective.What null hypothesis is appropriate? Select the following statement(s) about how the organisms in the food chain store carbon that is(are)NOT true.a. The algae use carbon dioxide to create glucose to be stored for later use.b. The crab ingests carbon from the snail and stores the carbon until it used for energy.c. The fish ingests carbon dioxide from the hydrosphere and stores the carbon for later use.d. The crab expels carbon dioxide into the hydrosphere when glucose is converted into ATP.2. ( answer if you can )Explain how the total mass of carbon is affected as it is cycled through various Earth spheres. I NEED HELP PLEASE... HELPPPP MEEEEWrite a quadratic equation to represent each situation. Use your equation to answer each question. Be sure to define your variables and identify which is independent and which is dependent. Show all work. Round any decimals to the nearest hundredth.1. A rocket is launched from a height of 10 meters with an upward velocity of 56 meters per second.a. When will the rocket hit the ground?b. What is the maximum height of the rocket?c. After how many seconds does the rocket reach the maximum height?2. A wooden deck of uniform width surrounds a rectangular pool as shown in the following image. The pool is 10 feet by 14 feet. What is the area of the wooden deck that surrounds the pool (not including the pool)?a. If the deck is 3 feet wide, what is the area of the deck?b. The area of the deck is 112 square feet. How wide is the deck?3. A coffee shop sells 150 coffees a day at $3.50 apiece. They found for every $0.50 increase in price, they sell 10 fewer cups of coffee a day. The cups of coffee cost the shop $1.50 apiece.a. How much should they charge to maximize their daily profits?b. How many cups of coffee will they sell daily at that price?c. What will their daily profits be?