the dilation of the figure is 45,000cm3 what is the scale factor of the dilation

Answers

Answer 1

The  scale factor of the dilation is 30:1.

We have,

A superhero action figure has a volume of 1500 cm³.

The volume of the dilated figure is 45,000 cm³

Now, the scale factor should be

= 45000/ 1500

= 30 /1

Thus, the scale factor of the dilation is 30:1.

Learn more about Scale Factor here:

https://brainly.com/question/21844975

#SPJ1


Related Questions

Find the value of x 30 degrees and 50 degrees

Answers

Answer: I think its 1500x

Step-by-step explanation: I multiplied them both.

Hope it helped :D

Answer:

1500000000000

Step-by-step explanation:

i don't know how but the answer is pretty easy but I don't feel like it so yeah there's

11 zero s

What are the coordinates of point c?


(-2.5, 0)

(0, -2.5)

(0, -3)

(-3, 0)

Answers

If you look at the graph c is in between -3 and -2 so it is -2.5 and because is on the solid black like it’s 0 so it would be -2.5,0

Answer A (-2.5 , 0)

Answer:

0, -2.5

Step-by-step explanation:

First find the latitude coordinate (N-S)

=0

2nd find the longitude coordinate (W-E)

=-2.5

since it's between -3 and -2, we'll put a decimal 5 (.5)

Find the value of x,y and z in the rhombus below

Answers

Answer:

-10x - 8 + 98 = 180

-10x + 90 = 180

-10x = 90

x = -9

-y - 5 = 98

-y = 103

y = -103

-2z + 8 + 98 = 180

-2z + 106 = 180

-2z = 74

z = -37

full method please

(-9+5)+7×(-3)​please

Answers

Evaluating the expression (-9+5)+7×(-3), we get -25

Evaluating the expression

From the question, we have the following parameters that can be used in our computation:

(-9+5)+7×(-3)

Evaluate the expressions in the bracket

So, we have

-4 + 7 * -3

Evaluate the products

So, we have

-4 - 21

Lastly, we have

-25

Hence, the solution is -25

Read more about expressions at

https://brainly.com/question/15775046

#SPJ1

where does the food go when you eat​

Answers

Answer:

down your esophagus into your stomach

Step-by-step explanation:

After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.

Great coffee cup fountain

Answers

According to Karissa's method, Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.

How to solve

Given:-

Data collected by the official observations for each brand at 10 minute intervals.

To find which method should be applied to determine the winner? why? which brand should be declared the winner and promoted in the commercial?

In this given data and what to be obtained is described in it.

Step 2/2

Kariss's method should be applied to determine the winner.

As it fills the amount of liquid paper towel can soak, which of liquid paper can soak, which would directly relate the costs of purchasing on other.

Side Bryce's method should not be used are time is not be used are time is not as important factor as papers A, B, and C have marginal differences.

So Karissa's method would directly help us to determine the most cost-effective to efficient towel brand.

Based on the table:-

Brand A= 40 towels per minute

Brand B= 17 towels per minute

Brand C= 30 towels per minute

In this the solution is obtained by dividing the number of towels by the minute and solving the solution is obtained.

So, according to Karissa's method Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.

Read more about

#SPJ1

Describe and correct the error in simplifying the expression.
(2e^-3x)^4= 1/16e^12x

Answers

The correct solution of the expression is,

⇒ 16 / e¹²ˣ

We have to given that;

The value of Expression is,

⇒ (2e⁻³ˣ)⁴

Now, We can simplify as;

⇒ (2e⁻³ˣ)⁴

⇒ 2⁴ × e⁻¹²ˣ

⇒ 16e⁻¹²ˣ

⇒ 16 / e¹²ˣ

Thus, The correct solution of the expression is,

⇒ 16 / e¹²ˣ

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

if a baseball team has lost 50 matches out of the 120 matches played in total find out their winning percentage​

Answers

Answer:

58.3%

Step-by-step explanation:

120-50=70 (wins)

120 is 100% wins

70. ??

We multiply 70 by 100% then divide by 120.

To find the winning percentage of a baseball team, we need to divide the number of games won by the total number of games played and multiply by 100%.

The number of games won by the team can be calculated by subtracting the number of games lost from the total number of games played:

Number of games won = Total number of games played - Number of games lost
Number of games won = 120 - 50
Number of games won = 70

Now, we can calculate the winning percentage using the following formula:

Winning percentage = (Number of games won / Total number of games played) x 100%

Plugging in the numbers, we get:

Winning percentage = (70 / 120) x 100%
Winning percentage = 58.33%

Therefore, the winning percentage of the baseball team is 58.33%.

a principle has given a class 75 dollars to help pay for a field trip to the zoo

Answers

Answer:

5p + 75> 386

Step-by-step explanation:

principal has given $75

Total cost of trip = $386

price of a pie = $5

5p + 75 ≥ 386

Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x

Answers

Answer:

The function f(x) = √x is the square root function.

A vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.

Option (A) is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. However, it is not a vertical translation that shifts the graph up or down.

Option (B) is a vertical translation of f(x) because it shifts the graph of f(x) down by 7 units.

Option (C) is a vertical translation of f(x) because it shifts the graph of f(x) down by 4 units.

Option (D) is a vertical translation of f(x) because it shifts the graph of f(x) up by 3 units.

Option (E) is not a vertical translation of f(x) because it involves multiplying the input of f(x) by a constant factor of 5.

Therefore, the options that are vertical translations of f(x) are (B), (C), and (D).

Step-by-step explanation:

The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?

Answers

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

We have,

The real exchange rate represents the relative price of goods and services between two countries.

It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.

To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.

1800 rupees / 90 rupees per dollar = $20

The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.

The real exchange rate (RER) is calculated as:

RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price

RER = (90 rupees per dollar * 1800 rupees) / $25

RER = 6480 / $25

RER = 259.2

The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.

Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.

The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.

In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.

This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.

Therefore,

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

Learn more about exchange rates here:

https://brainly.com/question/29562028

#SPJ1

Triangle ABC
A
B
C
and triangle DEF
D
E
F
are similar. What is the measure of side DF
D
F
?

Answers

Answer:

DF = 15 cm

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )

[tex]\frac{DF}{9}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )

15 DF = 9 × 25 = 225 ( divide both sides by 15 )

DF = 15

Answer:

12

Step-by-step explanation:

1. Use the Pythagorean theorem for triangle ABC

a squared (one side of the triangle) + b squared (another side) = c squared (hypotenuse)

so

c squared - b squared = a squared

225 - 81 = 144 ( Find the square root )

which is 12

since Triangle ABC is the same with Triangle DEF then

DF = 12

11. If the revaluation of the asset is higher than the carrying value, the following entries will be made via the revaluation account; Debit Asset account and Credit Capital account of each partner. True/False?​

Answers

Answer:

False. If the revaluation of the asset is higher than the carrying value, the following entries will be made: Debit Asset account and Credit Revaluation reserve account. The revaluation reserve account is a balance sheet account and does not affect the capital accounts of the partners directly. However, the revaluation reserve may indirectly affect the capital accounts of the partners if the revaluation reserve is distributed to the partners or used to offset losses in the future. It is worth noting that the specific accounting treatment may vary depending on the accounting standards being used by the company.

Step-by-step explanation:

Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+4cos(θ)+6=0
Select all that apply:

1.07
3.96
0.31
2.32
1.68
2.43

Answers

Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

26=-9w-2w-18?????????????????

Answers

Answer:

w = -4

Step-by-step explanation:

Hope this helps

26 = 9w - 2w -18
26= 11w -18
+18. +18
44 = 11w
11. 11
4 = W

select the correct answer. which expression is equivalent to this polynomial ? x^2 +12

Answers

The expression that is equivalent to this polynomial "x²+12" is option A. (x + 2√3i) (x — 2√3i)

How did we get the value?

In mathematics, a polynomial is an expression consisting of variables and coefficients that concern only the operations of addition, subtraction, multiplication, and nonnegative integer exponents.

A. (x + 2√3i) (x — 2√3i)

= (x² + 2√3i)² (i² = -1)

= (x² - 12x (— 1)

= x² + 12

B. (x + 6i) (x - 6i)

= (x² - (6i)²

= x² + 36

C. (x + 2√3)²

= x² + 4√3x + 12

D. (x + 2√3) (x - 2√3)

= x² - (2√3)²

= x² - 12

Therefore, the correct answer is as given above. Option A. (x + 2√3i) (x — 2√3i) is equivalent to the given polynomial.

learn more about polynomial: https://brainly.com/question/2833285

#SPJ1

The complete question goes thus:

Which expression is equivalent to this polynomial?

x²+12

OA. (x + 2√3i) (x — 2√3i)

B. (x+6)(x-61)

Oc. (x + 2√3)2

OD. (x + 2√3) (x - 2√3)

PLEASE HELP ME SOLVE THIS FOR BRAINILEST

Answers

Answer:

Point B and Point G are opposite rational numbers because they are the same distance away from 0

Step-by-step explanation:

-4/3 and 4/3 are almost the same number, except that -4/3 is a negative rational number, while 4/3 is a positive rational number

The answer essential relates to the absolute value (how far a number is away from 0; always a positive value

We can see that -4/3 and 4/3 are both the same distance away from 0 using the number line

-4/3:

-4/3 is -4/3 units to the left of 0.  To get back to 0, you have to move 4/3 units to the right so it is 4/3 units away from 0, even though it's a negative number

4/3:

4/3 is 4/3 units to the right of 0.  To get back to 0, you have to move 4/3 units to the left, but the value remains positive even though you're moving to the left.  Thus, 4/3 is simply 4/3 units away from 0:

What meaning of the statement this: subgroups partition groups into subsets of equal size?

Answers

Answer:

This statement means that subgroups divide a larger group into smaller groups, and each of these smaller groups has the same number of things in it. For example, if there are 12 people in a group, and they form subgroups of 3 people each in a group, there will be 4 groups total, and each individual subgroup will have 3 people in it.

Rectangle LMNP is similar to rectangle WXYZ.
The length of LM is 19 in, the area of rectangle LMNP is 140.6 in2, and the length of XY is 2.22 in.
What is the difference between the perimeters of the two rectangles?
A. 31.96 in
B. 36.96 in
C. 15.84 in
D. 41.96 in

Answers

The required, difference between the perimeters of the two rectangles is,

⇒ 46.03 in.

Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.

Then, We get:

k = XY / LM

k = 2.22 / 19

To find the value of k, we can divide 2.22 by 19:

k ≈ 0.117

Hence, The area of rectangle LMNP is given as,

140.6 in².

We can use this to find the length of NP:

LM x NP = area of LMNP

19 x NP = 140.6

NP ≈ 7.4 in

Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:

XY / YZ = LM / NP

2.22 / YZ = 19 / 7.4

YZ ≈ 1.167 in

Now we can calculate the perimeters of both rectangles:

Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in

Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in

Thus, The difference between the perimeters is:

52.8 - 6.77 = 46.03 in

Learn more about the perimeter here:

brainly.com/question/6465134

#SPJ1

plot the point whose polar cord are (3, -135 degrees) pick graph below

Answers

The plot of the given point must be at.

the third circle and at the 9th ray clockwise from the positive x-axis.

How to plot the point in polar coordinates?

Here we want to plot the point (3, -135°).

Remember that a point whose polar coordiantes are (R, θ) must be ploted along the circumference of a circle of radius R, at the angle θ measured counterclockwise from the positive x-axis.

Then here we need to have a circle of radius of 3 units, and plot the point at -135° from the positive x-axis.

Now, each of the rays has 15° on it, then the point should be graphed on the third circle (radius of 3 units) and at the 9th ray clockwise from the positive x-axis (clockwise because the angle is negative, and 9th ray because 9*15 = 135)

Learn more about polar coordinates at:

https://brainly.com/question/14965899

#SPJ1

If csc(x) = 2, for 90° < x < 180°, then
sin(x/2)=
cos(x/2)=
tan(x/2)=

Answers

We can start by using the definition of cosecant to find the value of sin(x):

csc(x) = 2 = 1/sin(x)

Solving for sin(x), we get:

sin(x) = 1/2

Next, we can use the half-angle formulas to find the values of sin(x/2), cos(x/2), and tan(x/2):

sin(x/2) = ±√[(1 - cos(x))/2] = ±√[(1 - √(1 - sin^2(x)))/2] = ±√[(1 - √(1 - (1/2)^2))/2] = ±√[(1 - √3/2)/2] = ±√[(2 - √3)/4]

cos(x/2) = ±√[(1 + cos(x))/2] = ±√[(1 + √(1 - sin^2(x)))/2] = ±√[(1 + √(1 - (1/2)^2))/2] = ±√[(1 + √3/2)/2] = ±√[(2 + √3)/4]

tan(x/2) = sin(x/2)/cos(x/2) = [±√(2 - √3)]/[±√(2 + √3)] = (2 - √3)/(2 + √3) = (√3 - 1)/(√3 + 1)

Note that the plus or minus signs in the formulas for sin(x/2) and cos(x/2) depend on the quadrant in which x lies. Since we know that 90° < x < 180°, we can conclude that sin(x/2) and cos(x/2) are both negative. Therefore:

sin(x/2) = -√[(2 - √3)/4]
cos(x/2) = -√[(2 + √3)/4]
tan(x/2) = (√3 - 1)/(1 + √3)

Which of the following is a statistical question that can result in numerical data?
A- How many miles do you travel to get to school each week?
 B-How many hours do the students in your class study each week?
C- Who is the doctor at Pediatric Specialists?
D- How many cars do your grandparents have?​

Answers

Answer: D

Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?

What is a statistical question?

A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists

Answers

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

What is a college degree?

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicurists

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

Learn more about college degrees at: https://brainly.com/question/30008674

#SPJ1

Give the equation of the circle centered at the origin and passing through the point (0, 6).

Answers

The equation of circle is x² + y² = 36.

We have,

Center= (0, 0)

Passing point = (0, 6)

We know the equation of circle is

(x-h)² + (y-k)² = r²

where (h, k) be the center and r be the radius.

Now, the radius of circle is

= √(6-0)² + (0-0)²

= √36

= 6 unit

So, the equation of circle

(x-0)² + (y-0)² = 6²

x² + y² = 36

Learn more about Equation of Circle here:

https://brainly.com/question/29288238

#SPJ1


Después de analizar un conjunto de datos se encontró que la desviación estandar es igual a 9, se requiere conocer
ahora, el valor de la varianza

Answers

The variance of the data-set in this problem is given as follows:

81 units squared.

How to obtain the variance of the data-set?

The standard deviation for the data-set in this problem is given as follows:

9 units.

The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.

Hence the variance of the data-set in this problem is given as follows:

(9 units)² = 81 units².

More can be learned about standard deviation and variance at https://brainly.com/question/475676

#SPJ1

Part E
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___

Answers

Isaiah's total earnings after picking 10 baskets of apples and peaches each is: $117

How to solve Algebra Word Problems?

Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

We are told that Isaiah as already earned $24 picking apples and $18 picking peaches.

Amount for each basket of apple = $3 each

Amount for each basket of Peach = $4.5 each

Thus, for 10 baskets each:

Apples = 10 * 3 = $30

a = 24 + 30

a = $54

Peaches = 10 * 4.5 = $45

p = 18 + 45

p = $63

Total earnings = a + p

= $54 + $63

= $117

Read more about Algebra Word Problems at: https://brainly.com/question/21405634

#SPJ1

Complete question is:

Isaiah picks fruit at a local orchard. He has already earned $24 picking apples and $18 picking peaches. He earns $3 for each basket of apples and $4.50 for each basket of peaches picked.

Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.

Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.

Apples: 10 x ____ = ____

24+ ___ = a

Peaches: 10 x ____ =

18+____= p

Total: a+p=$ ___

You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%

Answers

The probability in percentage form is P(divisor of 54) = 29.6%

How to find the probability?

The divisors of 54 are:

2, 3, 6, 9 (in the range we care)

Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.

So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:

P(divisor of 54) = 16/54

P(divisor of 54) = 0.296

To write it as a percentage just multiply it by 100%.

P(divisor of 54) = 0.296*100% = 29.6%

Learn more about probability at.

https://brainly.com/question/25870256

#SPJ1

a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?

Answers

Answer:

10 dollars

Step-by-step explanation:

5 + 5

looking for answer and explination

Answers

1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98

what is linearization?

Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.

for the  above prompt , we have to use the formula:

l (x) =  f(a) + f' (a) (x-a)

where  (a) is the value fo the function at point a

and f' (a)  is the derivative of the function evaluated at point  a.


Using a =  1, f(a) becomes:


f(1)  = 2 (1) ⁵ - 8 (1) + 5

f (1) =-1


f(x) = 10x⁴ -8

So f' (1 ) when evalutated will give us the slope of the tangent line at x =1

Thus,


f (1 ) = 10 (1)⁴ -8

= 2

Hence substituting all the values into th e linearization formula we get:

l(x) = f( 1) + f '(1) (x-1)

= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3

This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3


b) Given the l(x) above, f(1.01) gives us:

l(x) = 2x -3
= 2 (1.01) -3
= - 0.98

Learn more about linearization:
https://brainly.com/question/21404414
SPJ1

Will give Brainliest and points.
A fair, 6-sided die is rolled 60 times. Predict how many times it will land on a number greater than 2.

60
40
20
two thirds

Answers

40

This is because 4/6 is = 40/60
Other Questions
Consider the following equilibrium: 4 Ag(s) + O2(g) 2 Ag2O(s). At 298 K, the equilibrium constant for this reaction is K = 8. 44 x 103. What is G f for Ag2O(s)?4. 86 kJMore information is needed8. 44 kJ22. 4 kJ11. 2 kJ In which framework are core roles categorized as the following three: product owner, scrum master, development team? maurice merleau-ponty, an eminent phenomenologist, propounds a comprehensive understanding of temporality which rests on subjective empirical evidence as opposed to abstract concepts or hypothetical deductions At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1252 with a standard deviation of 39 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following.(a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be foundbetween and A.D.(b) a range of years centered about the mean in which about 95% of the data (tree-ring dates) will be foundbetween and A.D.(c) a range of years centered about the mean in which almost all the data (tree-ring dates) will be foundbetween and A.D. 15 PTS!!!!! PLS HURRY Contracts containing conditions affecting the performance obligations of the parties are called _______ contracts. Your project is halfway through the third iteration. One of the key stakeholders emails a change request that would make one of the backlog items unwanted by the business. How should you respond to this change request? Find the surface area of the prism.5 yd8 yd12 yd13 yd PLEASE HELP MEEE!!! THiS IS DUE RIGHT NOW Evaluate xdy + ydx = 0 a.y=Cx O b. none of these c. x+y=C O d. xy=C O e. x=Cy i know the answer but im scared it wrong find the height of right triangular prism Describe character sketch of nawab from subhadra sen Guptas dal delight John Rogers is a personal tax client of your firm. He is self-employed, running his own vinyl record shop in Shoreditch. His profit and loss account for the year ended 31 March 2022 is as follows:Gross profit: 204,000Expenses:Depreciation: 3,000Motor expenses (Note 1): 9,000Professional fees (Note 2): 4,000Repairs and renewals (Note 3): 900Travel and entertaining (Note 4): 6,000Wages and salaries (Note 5): 70,100Other expenses (Note 6): 51,000Total Expenses: 144,000Net profit: 60,000Note 1: Motor expenses He used the car 70% of the time for business purposes.Note 2 Professional fees: This comprised 900 for accountancy, 1,000 for capital gains tax advice for John, 700 legal fees chasing trade debts and 1,400 for legal fees renewing a short lease.Note 3 Repairs and Renewals: This figure was made up of 600 for repairs to old vinyl record players and 300 to purchase a new vinyl record player.Note 4 Travel and Entertaining: This consisted of 4,300 for Johns business travelling expenses, 1,000 for travel between his home and his shop and 700 for entertaining musician customers.Note 5 Wages and Salaries: Includes 22,000 paid to Johns wife. She works full-time in the business as a sales assistant. The other sales assistants, doing identical jobs, are paid 15,000 a year each. John paid his son 1,000 for redecorating the shop.Note 6 Other Expenses: Included 100 in respect of a parking fine incurred by John for parking outside his shop, 500 for Johns annual tennis club subscription, a political donation of 50 and staff entertaining costing 2,000.Note 7 Use of Office: John used one of the seven rooms in his private home as an office for the business. The total running costs of the house for the year were 4,900. These costs have not been included in the accounts.Note 8 Private Telephone: John uses his private phone to make business calls. The total cost of the phone for the year was 600 of which 40% related to business calls. The cost of the calls has not been included in the accounts.Note 9 Goods for Own Use: John took records out of stock for his own collection. These cost 400 with a normal mark up of 25%. No adjustment has been made in the accountsNote 10 Capital Allowances: The TWDV on the Main Pool on 1 st April 2021 was 10,000. On 1st June 2021 he sold some plant for 500 which had cost 800 three years earlier.His other income for 2021/2022 comprisedISA interest: 300Dividend income: 4,000Bank interest received: 1,200During the year John gave 240 under gift aid to Oxfam a registered charity.QUESTION:a) Calculate Johns taxable trading profit for the year ended 31 March 2022, making clear your treatment of each item.b) Calculate his income tax liability for 2021/2022.Lecture Slides: vacant land adjustments have to be made for differences in _ Identify the conditions in which the benefits of the Consolidated Omnibus Budget Reconciliation Act (COBRA) do not arise. (Check all that apply.)Multiple select question.An employee is fired for gross misconduct.An employer decides to eliminate benefits for all current employees.An employee is promoted with different benefits.An employer decides to increase benefits for all current employees. What is a security issue with Common Gateway Interface (CGI) Drinking methanol can cause blindness and death, depending on the dosage. The causative agent is formaldehyde derived from methanol.(a) Draw the balanced chemical reaction for the conversion of methanol to formaldehyde.(b) Why would administering whiskey (ethanol) to a person poisoned with methanol be a good antidote? I have alot of work :pMake it simple! the hebrew book of proverbs contains valuable sayings to help jewish people live their lives in the best possible way. what book in confucianism is most like this hebrew writing? group of answer choices the great learning doctrine of the mean mencius analects