If 3, x, y, -9 are in A.P, find the values of x and y.​

Answers

Answer 1

Answer:

x = -1y = -5

Step-by-step explanation:

The common difference (d) can be found using the first and 4th terms:

  a1 = 3

  a4 = a1 +d(4 -1)

  -9 = 3 +3d . . . . . simplify

  -3 = 1 + d . . . . . . divide by 3

  -4 = d . . . . . . . . . subtract 1

Then ...

  x = a1 + d = 3 -4 = -1

  y = x + d = -1 -4 = -5

The values of x and y are -1 and -5, respectively.


Related Questions

Which statements must be true about the reflection of
AXYZ across MN? Select three options.

A. m< X’ Z’ Y’= 90°
B. m< MCY= 90°
C. XX = YY
D. BZ = BZ
E. XY || X’ Y’

Answers

Answer:

abd

Step-by-step explanation:

The true statements about the reflection shown in picture attached are :

M∠X'Z'Y' = 90°

M∠X'Z'Y' = 90°m∠MCY = 90°

M∠X'Z'Y' = 90°m∠MCY = 90°BZ' ≅ BZ

What is reflection?

Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.

here, we have,

When reflection of a preimage occurs, the image produced is congruent to the preimage because reflection produces isometric images. This means that both the preimage and image are similar in shape and size.

Since m∠XZY = 90°, will be congruent with the angle m∠X'Z'Y' ; Hence, m∠X'Z'Y' = 90°

The segment MN and YY' are perpendicular, hence forming a right angle. m∠MCY = 90°

B is the midpoint between ZZ'. Hence, the distance between BZ' and BZ will be the same. BZ' ≅ BZ

From the image produced, XY and X'Y are not parallel

Learn more on reflection :

brainly.com/question/17128025

#SPJ7

Complete question:

Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. M∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is

Answers

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

PLEASE HELP NOW WILL MARK BRAINLEST FOR CORRECT ANSWER A Brazilian town near the Amazon River has experienced 7% annual decrease in size of rainforest as trees are cut down and forest is converted to farmland. In the year 2009, there were about 28,000 acres of rainforest in town. a. Write an exponential model that relates the number of acres of rainforest y as a function of t years since 2009. b. How many acres of rainforest remained in 2013 (that is, in year 4)? Show work.

Answers

Answer:

a. y = 28,000×(1 - 0.07)^t

b. 20,945.46 acres

Step-by-step explanation:

a. The annual percentage decrease in in size of rainforest = 7%

The size of the rainforest in 2009 = 28,000 acres

The exponential decay formula is y = C×(1 - r)^t

Where:

y = Final Amount

C = Initial amount = 28,000 acres

r = Rate of Change = 0.07

t = Time

Which gives;

y = 28,000×(1 - 0.07)^t

b. In 2013 (year 4, t = 4), the amount of rainforest remaining is therefore;

y = 28,000×(1 - 0.07)^(4) = 28,000×0.93^4 = 20,945.46 acres

The size of the rainforest that remained in 2013 is 20,945.46 acres.

Answer:

20(-3)

Step-by-step explanation:

Examine the graph and the map.

On the left, a bar graph titled Deforestation Trend in the Amazon Rainforest. The x-axis is labeled Acres in kilometers squared of Rainforest Lost. The y-axis is labeled Year from 2004 to 2016. 2004 lost 27,772 acres. 2005 lost 19,014 acres. 2010 lost 7,000 acres. 2012 lost 4.571 acres. 2016 lost 7,989 acres. On the right, a map titled Deforestation of the Amazon Rainforest by 2016. The Amazon River is labeled. A key notes deforestation by 2016, amazon forest in 2016, and non-forest vegetation. Labeled clockwise are Roraima, Amapá, Maranhäo, Pará, Tocantins, Mato Grosso, Rondônia, Acre, and Amazonas. Acre, Amazonas, Roraima, Amapá, Maranhäo, Mato Grosso and Rondônia are deforested by 2016. Pará, Maranhäo, Tocantins, Mato Grosso, and Rondônia have the Amazon forest in 2016. Mato Grosso, Tocantins and Maranhäo have majority of non-forest vegetation.

Which is the best conclusion about the Amazon rainforest that can be drawn from these sources?

Deforestation in the Amazon has accelerated since 2004.

Deforestation in the Amazon is no longer an important issue.

Despite population growth, the Amazon rainforest is increasing in size.

Despite positive trends, the Amazon rainforest remains in danger of destruction.

Please answer the question in the image below ASAP

Answers

Option A would run parallel because they have the same slope.
I would say option a because they slope is running above the x axis

Marked price of a pen is Rs 20. It is sold at a discount of 15%. Find the selling price?

Answers

Answer:

Rs 17

Step-by-step explanation:

Solution,

Marked price ( MP ) = Rs 20

Discount % = 15%

Selling price ( SP ) = ?

let's find the discount amount:

Discount amount = Discount % of MP

plug the values

= 15% of 20

Calculate

= Rs 3

Discount amount = Rs 3

Now, let's find the SP

Selling price ( SP ) = MP - discount amount

plug the values

= Rs 20 - Rs 3

Calculate the difference

= Rs 17

Hope this helps..

Best regards!!

asap help !!

How much additional interest is earned if $8000 is invested for 7 years at 6.5% when
interest is compounded annually, as compared with simple interest paid at the same
rate?

Answers

Answer:

put it in a calculator, 8,000 times whatever number u need

Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers

Answers

Answer:

16 and 4

Step-by-step explanation:

Let (x+y) =20 and (x-y)=12 then:

Isolate for x in each equation

   x=20-y and x=12+y

Set the equations to equal each other since the value of x should be the same for both

   20-y = 12+y

Rearrange so that y is on one side and the numbers are on the other

   8 = 2y

   y= 8/2

   y= 4

Now  substitute the y- value back into either of the original equations

   x+y= 20

   x+4 = 20

Rearrange and isolate  x

   x = 20-4

   x = 16

So the two values are 16 and 4

The value of a plot of land is S18 000.00.
Land tax is charged at the rate of S0.70 per
$100.00 value. What is the TOTAL amount
of tax paid for the land?​

Answers

Answer:

$126

Step-by-step explanation:

The plot of land is worth $18,000 and the tax on the land is $0.70 per $100. You would divide 18000 by 100 which is 180. Then you would multiply 180*0.70 which is $126.

Step-by-step explanation:

Here, given that;

The total value of land us $18000.00

tax per $100.00 is $0.70

now,

$100.00 taxes $0.70

$18000.00 taxes ($18000.00÷100)/$0.70 (as in question given that the tax is charged in each $100)

= $126.

is the required tax amount.

Hope it helps..

p(a)= .5, p(b)= .4, and p(a and b)= .15. what is p(a OR b)

Answers

Answer:

Step-by-step explanation:

Hello

p(A∪B) = p(A) + p(B) - p(A∩B) = 0.5 + 0.4 - 0.15 = 0.9 - 0.15 = 0.75

hope this helps

PLEASE HELP!
Line R is represented by the following equation: x + y = 2

Which equation completes the system that is satisfied by the solution (1, 1)?

2x + y = 2
4x − 2y = 2
2x − 2y = 2
x + y = 4

Answers

2x - 2y = 2

2x - 2 x 0 = 2

2x - 0 = 2

2x = 2

x = 1

2x - 2y = 2

2 x 0 - 2y = 2

y = - 1

Answer:

4x - 2y = 2

Step-by-step explanation:

Given that (1, 1 ) is a solution then it must satisfy the equation

Consider the equations given

2x + y = 2 → 2(1) + 1 = 2 + 1 = 3 ≠ 2 ← not True

4x - 2y = 2 → 4(1) - 2(1) = 4 - 2 = 2 ← True

2x - 2y = 2 → 2(1) - 2(1) = 2 - 2 = 0 ≠ 2 ← not True

x + y = 4 → 1 + 1 = 2 ≠ 4 ← not True

Thus

4x - 2y = 2 completes the system.

Please answer now correct answer fast

Answers

Answer:

[tex] Area = 112.1 m^2 [/tex]

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

[tex] \frac{w}{sin(W)} = \frac{x}{sin(X)} [/tex]

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

[tex] \frac{w}{sin(24)} = \frac{31}{sin(130)} [/tex]

Multiply both sides by sin(24) to solve for x

[tex] \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) [/tex]

[tex] w = \frac{31*sin(24)}{sin(130)} [/tex]

[tex] w = 16.5 mm [/tex] (approximated)

[tex] XY = w = 16.5 mm [/tex]

Find the area of ∆WXY

[tex] area = \frac{1}{2}*w*x*sin(Y) [/tex]

[tex] = \frac{1}{2}*16.5*31*sin(26) [/tex]

[tex] = \frac{16.5*31*sin(26)}{2} [/tex]

[tex] Area = 112.1 m^2 [/tex] (to nearest tenth).

Evaluate the following: 3 to the power 2 ÷ (2 + 1). 2 3 4 5

Answers

Answer:

3

Step-by-step explanation:

Find the volume of the cuboid which length is 10cm, breadth is 8cm and height is 7cm. Who answers first gets brainliest answer

Answers

Answer:

560cm

Step-by-step explanation:

Volume = Length × Breadth × Height

= 10 × 8 × 7

= 560 cm³

Answer:

Step-by-step explanation:

Volume =length x breadth x height

10 x 8 x 7=560cm^3

What is the angle of rotation from figure A to figure A? Assume that the center of rotation is the origin.
A. 360° clockwise
B. 270° clockwise
C. 180° clockwise
D. 90° clockwise

Answers

Answer:

the answer is C. 180°clockwise

please help with this question, I am quite confused

Answers

Answer:

Step-by-step explanation:

A-domain (-∞,∞)

B- Range(0,∞)  the range is the set of values tat correspond with the domain

C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1

D-the horizontal asymptote is x-axis y=0

E- the graph is always decreasing

F-it depend on the base

Please help me with this question!! TRIGONOMETRY

Answers

Answer: B) 17.4

Work Shown:

sin(angle) = opposite/hypotenuse

sin(35) = 10/x

x*sin(35) = 10

x = 10/sin(35)

x = 17.434467956211 make sure your calculator is in degree mode

x = 17.4

Answer:

[tex]\boxed{17.4}[/tex]

Step-by-step explanation:

sin [tex]\theta[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (35) = [tex]\frac{10}{x}[/tex]

x = [tex]\frac{10}{sin(35)}[/tex]

x = 17.4344679562...

x ≈ 17.4

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) Which of the following options is closest to the distance (in miles) between points A and B?
6.71 miles
7.35 miles
8.66 miles
10.82 miles

Answers

Answer:

3rad5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a }^{2} + {6}^{2} = {9}^{2} \\ {a }^{2} + 36 = 81 \\ {a}^{2} + 81 - 36 \\ {a}^{2} = 45 \\ \sqrt{a} = \sqrt{45} \\ a = 3 \sqrt{5} [/tex]

Answer:

It's A.) 6.71 miles

Step-by-step explanation:

I just took the quiz. May I have Brainiest???

Anyone knows this ans? I will mark them BRAINLIEST... The one who ans first and gives complete ans...thanks for helping!

Answers

Answer: a.5r-7=2r+8

We move all terms to the left:

5r-7-(2r+8)=0

We get rid of parentheses

5r-2r-8-7=0

We add all the numbers together, and all the variables

3r-15=0

We move all terms containing r to the left, all other terms to the right

3r=15

r=15/3

r=5

a) r = 5

b) t = 5/3

c) a = 1

d) x = 0

How to solve an eqution:

Equation solving is So easy you just need to follow the instructions.

i) First arrange the no. in one side and variable in one side.

ii) The sign will change if we change the no. or variable between equal =. Like + change into - and × change into ÷ .

iii) Use the BODMAS and just go ahead.

Solution:

Just Click on _______

I NEED HELP PRONTO PLZZZ HELP ME

Answers

Answer:

12 ÷ 4

Step-by-step explanation:

Let's try to solve the given expression to see if it matches with any of the options guven..

[tex] \frac{1}{4}*12 [/tex]

[tex] = \frac{1*12}{4} [/tex]

[tex] = \frac{12}{4} [/tex] (this is equivalent to 12 ÷ 4, which is given in the question)

Thus,

12 ÷ 4 equivalent to [tex] \frac{1}{4}*12 [/tex]

What is the shape name
please do fast.​

Answers

Answer:

[tex]\boxed{\sf Parallelogram}[/tex]

Step-by-step explanation:

A parallelogram has opposite parallel sides and it is a quadrilateral.

Answer:

This is a parallelogram

Step-by-step explanation:

This is also a quadrilateral.

Hope this helps.

Write 985 in the standard form and find its
Product of divisors
,Sum of divisors.​

Answers

Answer:

Step-by-step explanation:

985 = 5 * 197 = 1 * 5 * 197

The product of the divisors is 985

The sum is 203


a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).​

Answers

Yes the value of n is 20

Step-by-step explanation:

I DON'T KNOW WHICH ANSWER IS CORRECT .

BUT MY ANSWER CAME THIS .

I HOPE IT WILL HELP YOU.

HAVE A NICE DAY.....

$i^5+i^{-25}+i^{45}$[tex]$i^5+i^{-25}+i^{45}$[/tex]

Answers

[tex]i^5+i^{-25}+i^{45}[/tex]

Rewrite the term [tex]i^{-25}[/tex]

[tex]=i^5+\dfrac{1}{i^{25}}+i^{45}[/tex]

Expand each term so we have

[tex]=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}[/tex]

Use the fact that [tex]i^2=-1[/tex]

[tex]=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}[/tex]

Use the fact that [tex](-1)^{a}=1[/tex] when a is an even number

[tex]=i+\dfrac{1}{i}+i[/tex]

Simplify

[tex]=i-i+i[/tex]

[tex]=i[/tex]

Let me know if you need any clarifications, thanks!

Answer:

1/i +2i

Step-by-step explanation:

i^5+i^-25+i^45    i^2=-1

i^4*i +i^-24*i^-1 +i^44 *i

(i²)² i+ (i²)^-12*i^-1+(i²)^22 *i     since i²=1

i+i^-1+i=

i+1/i +i=1/i +2i

plz help me x+y=7
x=3-y​

Answers

Answer:

no solution

Step-by-step explanation:

x+y=7

x=3-y​

Substitute the second equation into the first

(3-y) +y = 7

Combine like terms

3 = 7

This is never true so there is no solution

Answer:

[tex]\boxed{\mathrm{No \: solution}}[/tex]

Step-by-step explanation:

x + y = 7

Plug x = 3 - y

3 - y + y = 7

Combine like terms.

3 = 7

No solution.

27 - (2 + 3) - 10 ÷ 2

Answers

Answer:

27_5_10/2

27_5_5

22_5

17

you simplify and you get 27-5-10/2
and then you divide 10 and 2
27-5-5 then you subtract and get 17

A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4π/7 radians? Express the answer in terms of π .

Answers

Answer:

12π inches

Step-by-step explanation:

s = rθ

s = (21) (4π/7)

s = 12π

The length of the arc will be;

⇒ Arc = 37.68 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle = 4π/7

And, A circle has a radius of 21 inches.

Now,

We know that in circle;

Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 21 × 4π/7

⇒ Arc = 3 × 4 × 3.14

⇒ Arc = 37.68 inches

Thus, The length of the arc will be;

⇒ Arc = 37.68 inches

Learn more about the circle visit:

https://brainly.com/question/1294687

#SPJ2

ruth and terry planted tulip and crocus bulbs for 6 h. ruth planted 5 crocus bulbs in the time it took terry to plant 3 bulbs. how long would it take terry alone to complete the job

Answers

Answer:

  16 hours

Step-by-step explanation:

In the time it took Ruth to plant 5 bulbs, Terry planted 3 bulbs. So, Terry did 3/8 of the work of planting 8 bulbs in that time.

We expect that Terry alone would take 8/3 of the time that it took when working together with Ruth.

  (8/3)×(6 hours) = 16 hours . . . . . . for Terry to do the job alone

Please Help!!!
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x

How many classes would Gina need to take for the total cost to be the same at both dance studios?
A: 10
B: 15
C: 100
D: 150

Answers

Answer:

The correct answer is A: 10

Step-by-step explanation:

 

We know that for Dance World the equation is y=15x and for Toe Tapper it is y=25+12.5x

Make a chart with both dance companies and compare the solutions to each equation. Like the one below.

        Dance World      /      Toe Tappers

A:10              $150        /       $150              

B:15              $225       /        $212.5

C:100            $1500      /       $1275

D:150             $2250     /       $1900

In conclusion, A:10 is the correct answer as both dance companies cost the same for 10 classes.

Sorry if this is really late, this is for the people who have the same question and need an answer too.

Answer:

A 10

Step-by-step explanation:

Set the equations equal to each other:

15x = 25 + 12.5x

Solve for x

2.5x = 25

x= 10

HELP I WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST Graph ​y>1−3x.

Answers

Answer:

The last graph

Step-by-step explanation:

This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.

Hope this helps. Please inform me if my answer is wrong.

Answer:

The last graph is correct

Step-by-step explanation:

Hello,

First of all, you need to identify the line y = -3x + 1

This is a line so two points are enough to identify it.

-3*0+1 = 1 so (0,1) is a point of this line and

-3*1 + 1 = -2 so (1,-2) is another point of this line.

I attached a graph of this line.

Now, the inequality is y > 1-3x

It means that we are looking for the part of the plan which is (strictly) above this line.

This is not ( [tex]\geq[/tex] ) inequality but a strict equality (  > ) so the points of the line are not included, so the last graph is the correct one.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

If f(x)= x/2 -2 and g(x) = 2x² + x - 3, find (f + g)(x).
O A. x²-6
O B. 2x²+ 3/2x +1
O C. 2x² - x/2 +1
O D. 2x² + 3/2 x-5

Answers

Answer:

Step-by-step explanation:

Its d

Other Questions
A mutual fund sponsor has three different income funds, holding AAA rated debt securities with similar maturities. Assuming that the expense ratios for the funds are identical, which fund would have the lowest yield from investment income? Directions: For1.what is the square root361 Which is a structure that directs the cell's activities? nucleus Golgi apparatus ribosome mitochondrion Calculate the number of ATP generated from one saturated 10 carbon fatty acid. Assume that each NADH molecule generates 2.5 ATP and that each FADH2 molecule generates 1.5 ATP . five daily servings of daily products or calcium fortified orange juice and soy beverages are recommended to meet calcium needs among older adultsa) TRUEB) FALSE Summary In this graded assignment, you will write Python programs that use loops to implement various algorithms. Learning Outcomes In completing this assignment, you will: Gain more experience converting an algorithm expressed using flowchart to one implemented in a Python program. Write a Python program using loops Description In a previous assignment in this course, you were asked to draw a flowchart for an algorithm that finds the two smallest items in a list, and then another assignment asked you to convert that flowchart to pseudocode.Here is a pseudocode implementation of that algorithm: 1. min1- list 2. min2 - list, 3. for each item in list 4. if item 5. then if min1 6. then min2 7. else mint 8. else if item 9. then min2 10. output: min1, min2 item item item Now, implement the algorithm in Python so that it correctly sets the values of min1 and min2 which should hold the two smallest values in the list, though not necessarily in that order. In the code below, we have provided a list called "list" and initialized min 1 and min2 to hold the first two elements. Write your code starting at line 5 (you can remove the comments starting at line 6, and may need more space than what is provided), and be sure that the values of min1 and min2 are correctly set before the code reaches the "return (min1, min2)" statement on line 11. As in the previous assignment, we will be using the Coursera automatic grading utility to test your code once you submit this quiz for grading, and this requires it to be within a function. So be sure that all of the code after line 1 is indented, and that you do not have any code after the "return (min 1, min2)" statement. Keep in mind that the goal here is to write a program that would find the two smallest values of any list, not just the one provided on line 2. That is, don't simply set min 1 and min2 to-2 and -5, which are the two smallest values, but rather write a program that implements the algorithm from the flowchart and correctly sets min1 and min2 before reaching the return (min1, min2)" statement.As before, you can test your program by clicking the "Run" button to the right of the code to see the results of any "print" statements, such as the one on line 10 which prints min1 and min2 before ending the function. However, please be sure that you do not modify the last two lines of the code block 1. def test(): # do not change this line! 2. list = [4, 5, 1, 9, -2, 0, 3, -5] # do not change this line! 3. min1 = list[0] 4. min2 = list[1] 5.6. #write your code here so that it sets 7. #min1 and min2 to the two smallest numbers 8. # be sure to indent your code! 9.10. print(min1, min2) 11. return (min1, min2) # do not change this line! 12. # do not write any code below here 13.14. test() # do not change this line! 15. # do not remove this line! Hints: The Python code for this algorithm is very similar to the pseudocode! Just be sure you are using the correct syntax. As in previous activities, don't forget that you can use the "print" function to print out intermediate values as your code is performing operations so that you can see what is happening You are given the following information on Parrothead Enterprises: Debt: 9,600 7.1 percent coupon bonds outstanding, with 24 years to maturity and a quoted price of 105.5. These bonds pay interest semiannually and have a par value of $1,000. Common stock: 255,000 shares of common stock selling for $65.10 per share. The stock has a beta of .96 and will pay a dividend of $3.30 next year. The dividend is expected to grow by 5.1 percent per year indefinitely. Preferred stock: 8,600 shares of 4.55 percent preferred stock selling at $94.60 per share. The par value is $100 per share. Market: 11.4 percent expected return, risk-free rate of 3.9 percent, and a 21 percent tax rate. Calculate the company's WACC. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What would be some characteristics of a Cold War as opposed to a Hot War Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only. 1.P(z>1.38)= 2.P(1.233 2.43)= 7.P(z>2.43)= Given: f(x) = x2, g(x) = x + 6, h(x) = 7Find f(g[h(x)]).5516926 A sample of oxygen gas has a volume of 45.8 mL when its pressure is 0.492 atm. Whatwill the volume of the gas be at a pressure of 0.954 atmospheres, if the temperatureremains constant?Select one:O a. 23.6Ob. 0.0102O c. 88.8O d. 0.0113 While sitting at your desk, you drop your pencil onto the floor. You bend over to pick up the pencil. In order to straighten up and continue your exam you must use which muscles? Once you have finished revising your peer's essay, continue to demonstrate your understanding of grammar andpunctuation by writing an essay containing all of the grammatical concepts outlined above. Your essay should be short,just 250 words, and it can be written on any subject. A gift package contains 6 wedges of cheese . If each wedges is 2/3 onuce what is the totel weight in pounds of cheese? 50. At a booth at the school carnival in past years, they've found that 32% of students win a stuffed toy ($3.25), 10% of students win a jumprope ($1.70), and 8% of students win a t-shirt ($7.80). The remaining students do not win a prize. If 200 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth A new machine will cost $25,000. The machine is expectedto last 4 years and have no salvage value. If the interest rate is 12%, determine the return and the risk associated with the purchase. The following projections have been made.Scenario 1 2 3probability 0.3 0.4 0.3annual savings $7000 $8500 $9500 An Administrator wants to make a list of all prospects who complete the Contact Us form but only wants them to be added the first time they complete the form. If a prospect is ever removed from the list, they shouldn't be able to get added back to it. What is the best way to create this type of list Which expression is equivalent to the expression below? StartFraction 6 c squared + 3 c Over negative 4 c + 2 EndFraction divided by StartFraction 2 c + 1 Over 4 c minus 2 EndFraction StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction 3c 3c In the line I stole the king's diamond, what word should the actor stress to create the interpretation that he/she is proud of this action? A.) Stole B.) Diamond C.) King's D.) I This recipe makes 6 portions of fajitas. Carly has 900 g of chicken, 1200 g of peppers, 150 g of onion, 60 g of spice mix and 30 tortillas. How much more of each ingredient will she need to make 18 portions by following this recipe? Recipe: Serves 6 500 g chicken 600 g peppers 90 g onion 25 g spice mix 12 tortillas