According to the U.S. Mint, the number of quarters minted in 2018 was about 2 x 10°. The mass of a quarter is about 6 X 10-3 kg. Write the number of quarters and the mass of a quarter in standard form.

Answers

Answer 1

The number of quarters is 2 and mass of quarter is 0.006 Kg.

What is Scientific Notation?

With scientific notation, one can express extremely big or extremely small values. If a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation.

Given:

The number of quarters minted in 2018 was about 2 x 10°

and, The mass of a quarter is about 6 X [tex]10^{-3[/tex] kg.

As, in standard form the decimal is place after one significant and the rest raised to 10 to the powers and if the number are in power then it can be written in form of decimal.

Here, number of quarters minted is already in standard form 2 x 10° or 2 x 1

and,  mass of a quarter can be written as

= 6 X [tex]10^{-3[/tex] k

= 6/ 10³

= 6/ 1000

= 0.006

Learn more about Scientific Notation here:

https://brainly.com/question/18073768

#SPJ9


Related Questions

A family wants to rent a car to go on vacation. Company A charges ​$55.50 and 16 cents per mile. Company B charges ​$50.50 and 9 cents per mile. How much more does Company A charge for x miles than ​Company B?

Answers

Company A will charge $7 more than company B.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that a family wants to rent a car to go on vacation. Company A charges ​$55.50 and 16 cents per mile. Company B charges ​$50.50 and 9 cents per mile.

The expression for the charges by company A is,

C = 16x + 55.50

The expression for the charges by company B,

C = 9x + 55.50

The amount of company A more than company B is calculated as:-

Amount = ( 16 + 55.50) - ( 9 + 55.50 )

Amount = 71.50 - 64.50

Amount = $7

Hence, company A will charge $7 more.

To know more about an expression follow

https://brainly.com/question/21570272

#SPJ9


Calculate the area of this rectangle.
1/2 ft.
3
ft.

Answers

The area of a rectangle with the given length breadth is 1.5 square feet.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, length of a rectangle= 3 ft and width of a rectangle= 1/2 ft.

Area is defined as the total space taken up by a flat surface or shape of an object.

Here, area of a rectangle =Length × Breadth

= 3×1/2

= 3×0.5

= 1.5 square feet

Therefore, the area of a rectangle is 1.5 square feet.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ9


Jack tenía 3 bolsas de pelotas de golf con b pelotas en cada bolsa; luego su amigo le dio 6
pelotas de golf más.
¿Cuántas pelotas de golf tiene ahora Jack?

Answers

The total number of golf balls with Jack as -

{n} = 3b + 6.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that Jack had 3 bags of golf balls with {b} balls in each bag; then his friend gave him 6 golf balls more.

We can write the total number of golf balls with Jack as -

{n} = 3b + 6

Therefore, the total number of golf balls with Jack as -

{n} = 3b + 6.

To solve more questions on functions & expressions, visit the link below

brainly.com/question/17613163

#SPJ9

{Question in english -

Jack had 3 bags of golf balls with b balls in each bag; then his friend gave him 6 golf balls more. How many golf balls does Jack have now?}


Find the radius of a sphere with a volume of 26, 244π cubic inches.

Answers

27 inches is the radius of a sphere with a volume of 26, 244π cubic inches.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that volume of a sphere is  26, 244π cubic inches.

We need to find the radius of sphere.

V=4/3πr³

26, 244π=4/3πr³

26, 244=1.333r³

Divide both sides by 1.333

26,244/1.333=r³

19688=r³

Cube root on both sides

∛19688 = r

27=r

Hence, 27 inches is the radius of a sphere with a volume of 26, 244π cubic inches.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ9

What is yield strength determined by?

Answers

The yield strength Re is a material characteristic value and is determined using tensile testing (e.g. ISO 6892 standard series for metallic materials or ISO 527 standard series for plastics and composites).

You need to rent a moving truck for a day. You have identified two companies that rent trucks. Company A charges $45 per day plus $0.10 per mile. Company B charges $25 per day plus $0.30 per mile. For how many miles will the cost of renting be the same?

Answers

Answer:

the cost of renting a truck from both companies will be the same for 100 miles.

Step-by-step explanation:

Let's assume that the cost of renting a truck from Company A for x miles is C_A(x) and the cost of renting a truck from Company B for x miles is C_B(x).

From the given information, we know that:

C_A(x) = 45 + 0.10x

C_B(x) = 25 + 0.30x

We need to find the value of x for which C_A(x) = C_B(x). So we can set the two equations equal to each other and solve for x:

45 + 0.10x = 25 + 0.30x

20 = 0.20x

x = 100

Therefore, the cost of renting a truck from both companies will be the same for 100 miles.

3 tickets to the museum cost $12.75. At this rate, what is the cost of:

A. 1 ticket?
B. 5 tickets?

Answers

Answer:

1 ticket - $4.25

5 tickets - $21.25

Step-by-step explanation:

12.75/3=4.25 which is one ticket then take the price of one ticket and multiply it by 5, 4.25*5=21.25.

Use tape diagram to show Noah saved x dollars and Elena saved 1/10 less than that

Answers

Noah saved $100 and Elena saved $90, which is 1/10 less than Noah's savings.

Tara used a credit card to pay for a jacket that costs
$150. She did not purchase any other items using the
credit card. The credit card company charges 25%
interest each month on the remaining balance. Tara
pays $40 per month after the monthly interest has
been applies. How long will it take Tara to pay off the
balance? How much does she pay in all?

Answers

It takes Tara 5 months to pay off the balance.

What is the rate of interest?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Given that, Tara used a credit card to pay for a jacket that costs $150.

The credit card company charges 25% interest each month on the remaining balance.

Now, 25% of 150

25/100 ×150

0.25×150= 37.5

So, total money is 150+37.5

= 187.5

Number of months = 187.5/40

= 4.6875

≈ 5

Therefore, it takes Tara 5 months to pay off the balance.

To learn more about the rate of interest visit:

brainly.com/question/28236069.

#SPJ9

Use the drop-down menus to complete each equation so the statement about its solution is true.

Answers

The illustration of the types of solutions of systems of equations is explained below.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 5 - 4 + 7x + 1 = ax + b.

7x + 2 = ax = b.

Now, If we put b ≠ 2 and x = 7 we have,

7x + 2 = 7x + b.

2 = b, but b ≠ 2 so no solution.

5 - 4 + 7x + 1 = ax + b

7x + 2 = ax + b.

To have one solution we can assume any x value except 7 and any b value except 2,

7x + 2 = 6x + 3.

x = - 1.

5 - 4 + 7x + 1 = ax + b

To have infinitely many solutions both sides must be some constant multiple of each other.

7x + 2 = k(ax + b).

7x + 2 = 2(7x + 2).

7x + 2 = 14x + 4.

learn more about the system of equations here :

https://brainly.com/question/24065247

#SPJ1

A) In the sequence for which the general term is t_(n)=(n^(2)-1)/(3n^(2)),
find the value of n, if any, for which t_(n)=0.3325.
B) Find S_(n) for the arithmetic series 16+13+10+cdots and determine the value of n for which S_(n)=-6.
S_(n)=. The value of n for which S_(n)=-6 is .

Answers

we can conclude that the value of n for which [tex]t_n[/tex] = 0.3325 is between 3 and 4 and the value of n for which [tex]S_n[/tex]= -6 is 6.

How to find value of n and sum of sequence?

A) To find the value of n for which [tex]t_n[/tex] = 0.3325, we can use trial and error method.

Starting with n=1, we have:

[tex]t_1 = (1^2 - 1)/(3 * 1^2) = 0[/tex]

For n=2, we have:

[tex]t_2 = (2^2 - 1)/(3 * 2^2) = (3)/(12) = 0.25[/tex]

For n=3, we have:

[tex]t_3 = (3^2 - 1)/(3 * 3^2) = (8)/(27) = 0.296296...[/tex]

Continuing in this way, we find that t_3 < 0.3325 < t_4, where

[tex]t_4 = (4^2 - 1)/(3 * 4^2) = (15)/(48) = 0.3125[/tex]

Thus, we can conclude that the value of n for which [tex]t_n[/tex] = 0.3325 is between 3 and 4, and it can be found more accurately by using numerical methods such as bisection or Newton's method.

B) To find the sum of the arithmetic series 16 + 13 + 10 + ..., we can use the formula for the sum of an arithmetic series:

[tex]S_n = n/2 * (a_1 + a_n),[/tex]

where n is the number of terms in the series, [tex]a_1[/tex] is the first term (16 in this case), and a_n is the nth term.

Let's assume that the nth term is represented by [tex]a_n = 16 - 3 * (n - 1),[/tex] so that a_1 = 16 and a_n = 16 - 3 * (n - 1).

Then, we have:

S_n = n/2 * (16 + 16 - 3 * (n - 1)) = n/2 * (16 + 16 - 3n + 3) = n/2 * (16 + 16 - 3n + 3) = n/2 * (32 - 3n + 3) = 16n - (3/2)n^2 + (3/2)n

We want to find the value of n for which S_n = -6, so we can substitute the value of S_n into the equation and solve for n:

[tex]S_n = n/2 * (16 + 16 - 3 * (n - 1)) = n/2 * (16 + 16 - 3n + 3) = n/2 * (16 + 16 - 3n + 3) = n/2 * (32 - 3n + 3) = 16n - (3/2)n^2 + (3/2)n[/tex]

[tex]-6 = 16n - (3/2)n^2 + (3/2)n[/tex]

Expanding the equation and solving for n, we find that n = 6.

Thus, the value of n for which [tex]S_n[/tex]= -6 is 6.

To know more about Sequence visit:

brainly.com/question/30262438

#SPJ1

A construction crew needs to pave a road that is 204 miles long. The crew paves 7 miles of the road each day. The length, L (in miles) that is left to be paved after d days is given by the following function. L (d) =204-7. If 155miles of road is left to be paved how many days has the crew been paving the road? How many miles of road does the crew have left to pave after 13days?

Answers

The number of days required to pave 155 miles of the road will be 7 days. The length of the road paved in 13 days will be 113 miles.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the length, L (in miles) that is left to be paved after d days is given by the following function. L (d) =204-7d.

The number of days will be calculated as:-

L (d) =204-7d

155 = 204 - 7d

7dv = 49

d = 7 days

The length of the road paved in 13 days will be calculated as:-

L (d) =204-7d

L (d) =204-7 x 13

L (d) =113 miles

To know more about an expression follow

https://brainly.com/question/25594734

#SPJ1

What was the first step in solving this equation?
Original equation:
9(2p+ 1) = 6p + 15
Fill in the missing work:
Result of the first step:
>
3(2p + 1) = 2p + 5
Write a few sentences describing the missing work.

Answers

The missing step is 9(2p+ 1)/3 = 6p/3 + 15/3.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:
An original equation,

9(2p+ 1) = 6p + 15.

Result of the first step:

3(2p + 1) = 2p + 5

To find the missing step:

Divide the original equation by 3 into both sides,

we get,

9(2p+ 1)/3 = 6p/3 + 15/3.

Simplifying further,

3(2p + 1) = 2p + 5

Therefore, the required expression is 9(2p+ 1)/3 = 6p/3 + 15/3.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

Find all other zeros of P(x)=x^3-6x^2+18x-40 , given that 1+3i is a zero.

Answers

Answer:

1 - 3i, 4

Step-by-step explanation:

The polynomial has real coefficients, so if it has a complex root, it must have at least two complex roots which are complex conjugates.

Since 1 + 3i is a root, then 1 - 3i is also a root.

Two of the factors of the polynomial are:

x - (1 + 3i) and x - (1 - 3i)

Simplify the factors above:

x - 1 - 3i and x - 1 + 3i

Find their product:

(x - 1 - 3i)(x - 1 + 3i) =

Rewrite them showing we have the product of  a sum and a difference.

= [(x - 1) - 3i][(x - 1) + 3i]

Multiply the factors above noticing they are a sum and a difference which follows the pattern (a + b)(a - b) = a² - b².

= (x - 1)² - (3i)²

= x² - 2x + 1 - 9(-1)

= x² - 2x + 10

Now we divide the original polynomial by the product we just found using long division.

                                        x - 4

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

         x² - 2x + 10      |    x³ - 6x² + 18x - 40

                                  -   x³ - 2x² + 10x

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

                                            -4x² + 8x - 40

                                      -     -4x² + 8x - 40

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

                                                0 +    0  + 0

Now we know that x³ - 6x² + 18x - 40 factors into (x² - 2x + 10)(x - 4).

(x² - 2x + 10)(x - 4) = 0

From x² - 2x + 10, we have roots x = 1 + 3i and x = 1 - 3i.

x - 4 = 0

x = 4

From x - 4, we have root x = 4.

Answer: 1 - 3i, 4

3(6-4)=-3
How do I show work for this

Answers

The expression is not true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3 (6 - 4) = - 3

Now, We can check as;

⇒ 3 (6 - 4) = - 3

LHS;

⇒ 3 (6 - 4)

⇒ 3 × 2

⇒ 6

RHS;

⇒ - 3

Hence, The expression is not true.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ9

NO LINKS!! URGENT HELP PLEASE!!

For #4-6, find the area of each figure, round your answer to one decimal point if necessary.

Answers

Problem 4

Answer:  2400 square inches

Explanation:

Draw a horizontal divider line to split the figure into two rectangles.

The rectangle up top is 30 by 30, so it has area 30*30 = 900 square inches.

The rectangle on the bottom has area 50*30 = 1500 square inches.

total = 900+1500 = 2400 square inches

========================================================

Problem 5

Answer:  12 square inches

Explanation:

Draw a horizontal divider line to split the figure into two rectangles.

A = area of rectangle on top = 2*2 = 4 square inches

B = area of rectangle on bottom = 4*2 = 8 square inches

C = total = A+B = 4+8 = 12 square inches

========================================================

Problem 6

Answer:  2592 square yards

Explanation:

Draw a horizontal divider line to get two rectangles.

A = area of rectangle on top = 36*36 = 1296 square yards

B = area of rectangle on bottom = 72*18 = 1296 square yards

C = total = A+B = 1296+1296 = 2592 square yards.

You have the correct answer. Nice work.

Answer:

4)  2400 in²

5)  12 in²

6)  2592 yd²

Step-by-step explanation:

To calculate the area of each given composite figure, divide the figure into two rectangles and sum the area of the two rectangles.

[tex]\boxed{\begin{minipage}{5cm}\underline{Area of a rectangle}\\\\$A=w\cdot l$\\\\where:\\ \phantom{ww} $\bullet$ \quad $w$ is the width.\\ \phantom{ww} $\bullet$ \quad $l$ is the length.\\\end{minipage}}[/tex]

Question 4

Separate the figure into two rectangles by drawing a horizontal line (see attachment).

[tex]\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&= 30\cdot 30+50\cdot 30\\&=900+1500\\&=2400\; \sf in^2\end{aligned}[/tex]

Question 5

Separate the figure into two rectangles by drawing a horizontal line (see attachment).

[tex]\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=2 \cdot 2+ 4\cdot2 \\&=4+8\\&=12\; \sf in^2\end{aligned}[/tex]

Question 6

Separate the figure into two rectangles by drawing a horizontal line (see attachment).

[tex]\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=36 \cdot36 +72 \cdot18 \\&=1296+1296\\&=2592 \; \sf yd^2\end{aligned}[/tex]

Kellan went ice skating for 8 hours this week. If he spent an equal amount of time skating each day for 5 days, how many hours did kellan skate each day?

Answers

Answer:

8/5 = 1.6

Step-by-step explanation:

8/5 = 1.6

1) Consider the second-order linear DE (1- tcot t) y - ty y 0 for 0 < t < T- Let Y1 (t)-t and y2 (t) sin t. a) Are y1 and y2 both solutions to this DE? b) Are yi and y2 linearly independent? If so, then find the general solution of the DE. If not, then find constants A and B, not both zero, such that Ay? By 0. 2) Suppose that is a constant and {31 , y2} is a set of solutions to the DE Find the Wronskian W(x) of {31 , y, given that W(0) = 1.

Answers

The solution of second order linear equation DE  (1- tcot t) y - ty y 0 for 0 < t < T is y2(t) = sin(t). There cannot be exist a constant k such that {x^2, e^x} is a set of solutions to the given differential equation.

To check if y1(t) = t is a solution to the given differential equation, we substitute it into the DE and simplify:

(1 - t cot(t))y - t(dy/dt) = (1 - t cot(t))t - t(1) = t - t^2 cot(t) - t = t(1 - t cot(t))

So y1(t) = t is a solution to the DE.

To check if y2(t) = sin(t) is a solution, we substitute it into the DE and simplify:

(1 - t cot(t))y - t(dy/dt) = (1 - t cot(t))sin(t) - t(cos(t)) = sin(t) - t sin(t) (csc(t)) - t(cos(t)) = sin(t) - t tan(t) sin(t) - t(cos(t))

So y2(t) = sin(t) is also a solution to the DE.

To check if y1(t) and y2(t) are linearly independent, we can check if their Wronskian is nonzero. The Wronskian of two solutions y1(t) and y2(t) of a second-order linear differential equation is given by:

W(y1, y2) = y1(t) (dy2/dt) - y2(t) (dy1/dt)

Substituting y1(t) = t and y2(t) = sin(t), we get:

W(y1, y2) = t cos(t) - sin(t)

Since W(y1, y2) is not identically zero (it is zero only at certain values of t), we can conclude that y1(t) and y2(t) are linearly independent.

The general solution to the given differential equation is given by:

y(t) = c1 t + c2 sin(t)

where c1 and c2 are constants determined by the initial or boundary conditions.

Let W(x) be the Wronskian of the solutions y1(x) and y2(x) of the differential equation given by:

(1 - x^2) y'' - 2x y' + k y = 0

Then, we have:

W(x) = y1(x) y2'(x) - y1'(x) y2(x)

Substituting y1(x) = x^2 and y2(x) = e^x, we get:

W(x) = x^2 e^x - 2x e^x - x^2 e^x = -2x e^x

Since we are given that W(0) = 1, we have:

W(0) = -2(0) e^0 = 1

This gives us a contradiction, so there cannot exist a constant k such that {x^2, e^x} is a set of solutions to the given differential equation.

To know more about linear equation:

https://brainly.com/question/14627736

#SPJ4

An office manager believes that the percentage of employees arriving late is even greater than the previously claimed 7%. She conducts a hypothesis test on a random 200 employee arrivals and finds 23 punching in late. Is this strong evidence against the 0.07 claim?
answer choices
Yes, p-value is 0.0062
Yes, p-value is 2.5
No, p-value is only 0.0062
No, p-value is over 0.10
There is insufficient information to reach a conclusion.

Answers

We do not have strong evidence against the 0.07 claim so, the correct answer is: No, the p-value is over 0.10.

Let's calculate the p-value and compare it to the level of significance (alpha) to determine if there is strong evidence against the 0.07 claim.

Let p be the true proportion of employees arriving late. The null hypothesis is that p = 0.07 and the alternative hypothesis is that p > 0.07.

The sample proportion of employees arriving late is x/n = 23/200 = 0.115. Under the null hypothesis, the sampling distribution of the sample proportion follows a normal distribution with a mean of 0.07 and standard deviation [tex]\sqrt{((0.07 * 0.93) / 200)}[/tex] = 0.0319.

The z-score corresponding to the sample proportion is (0.115 - 0.07) / 0.0319 = 1.41. The p-value is the probability of observing a z-score greater than or equal to 1.41 under the null hypothesis, which can be calculated as P(Z >= 1.41) = 0.078.

Since the p-value is greater than the level of significance alpha (which is typically 0.05 or 0.01), we fail to reject the null hypothesis that the true proportion of employees arriving late is 0.07.

Therefore, we do not have strong evidence against the 0.07 claim so, the correct answer is: No, the p-value is over 0.10.

To learn more about probability :

https://brainly.com/question/13604758

#SPJ4

Do any ingredients make up an equal amount of the smoothie? Construct a math argument to explain why or why not

Answers

Without knowing the specific ingredients and proportions used in a smoothie, it is impossible to definitively say whether any ingredients make up an equal amount. However, it is likely that the proportions of ingredients in a smoothie vary based on the desired taste, texture, and nutritional content.

For example, a smoothie may have more fruit than liquid to create a thicker consistency, or more liquid than fruit to create a thinner consistency. Additionally, the amount of sweeteners, such as sugar or honey, may vary based on personal preference and the natural sweetness of the fruit used.

In conclusion, without more specific information about the ingredients and proportions used in a particular smoothie, it is not possible to determine whether any ingredients make up an equal amount. The proportions of ingredients in a smoothie are likely to vary based on various factors and personal preference.

Determine where f is continuous. If possible, extend f as in example 4.2 to a new function that is continuous on a larger domain.F(x) = {sin x/x if x ≠ 0; 1 if x= 0Continuous everywhere since limx→0 sinx/x=1,and f(0) = 1.

Answers

This function is continuous everywhere, as the limit of sinx/x as x approaches 0 is 1, and f(0) = 1. It cannot be extended to a larger domain, as it is already continuous everywhere.

For example, when x = 0.1, f(x) = 0.998334166, and when x = 0.001, f(x) = 0.998999667.This function is continuous everywhere, as the limit of sinx/x as x approaches 0 is 1, and f(0) = 1. This means that there are no breaks or discontinuities in the function, and it is continuous everywhere. To demonstrate this, we can look at specific values of x. For example, when x = 0.1, f(x) = 0.998334166, and when x = 0.001, f(x) = 0.998999667. This shows that the function is smoothly transitioning from one value to the next, and is therefore continuous everywhere. The function cannot be extended to a larger domain, as it is already continuous everywhere. This means that the function is defined everywhere on its domain, and there is no need to extend it.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

eleven spoons minus s equals 9 spoons​

Answers

Answer:

s=2

Step-by-step explanation:

A parachutist whose mass is 100 kg drops from a helicopter hovering 3000 m above the ground and falls under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with proportionality constant b3 = 20 N-sec/m when the chute is closed and b4 = 100 N-sec/m when the chute is open. If the chute does not open until 30 sec after the parachutist leaves the helicopter, after how many seconds will he hit the ground? If the chute does not open until 1 min after he leaves the helicopter, after how many seconds will he hit the ground?

Answers

If the chute does not open until 1 min after he leaves the helicopter, then the equation to calculate the seconds it will he hit the ground is (1/2)mv² + ∫ F(v) dv = 0

The force due to air resistance is assumed to be proportional to the velocity of the parachutist, and we will use this information to determine the time it takes for the parachutist to reach the ground with and without a chute.

The force of air resistance is proportional to the velocity of the parachutist. This means that the larger the velocity, the larger the force of air resistance.

As the velocity increases, the force of air resistance also increases, which reduces the kinetic energy. When the chute opens, the force of air resistance increases even more, which further reduces the kinetic energy and slows down the parachutist.

To determine the time it takes for the parachutist to hit the ground, we can use the following equation:

PE + KE + work done by air resistance = PE + KE

where PE is the gravitational potential energy, KE is the kinetic energy, and work done by air resistance is the work done by the force of air resistance.

When the chute is closed, we can write:

mgh = (1/2)mv² + ∫ F(v) dv

where m is the mass of the parachutist, g is the acceleration due to gravity, h is the height of the helicopter above the ground, and the integral is taken over the velocity range from 0 to v.

Similarly, when the chute is open, we can write:

mgh = (1/2)mv² + ∫ F(v) dv

where b = b4 and the integral is taken over the velocity range from 0 to v.

To solve for the time it takes for the parachutist to hit the ground, we need to determine the velocity at which he hits the ground. This is the velocity where KE = 0, and we can find it by equating the expressions for KE and work done by air resistance when the parachutist hits the ground:

(1/2)mv² + ∫ F(v) dv = 0

We can solve these equations numerically to find the time it takes for the parachutist to hit the ground with and without the chute.

To know more about proportionality here.

https://brainly.com/question/29126727

#SPJ4

What is the center and radius of the circle with equation (x + 5)2 + (y – 3)2 = 4?
Choose one
(5, –3), r = 16

(5, –3), r = 4

(–5, 3), r = 16

(–5, 3), r = 4

none of these

Answers

The center and radius of the circle in the equation is given by (-5, 3) and 4 respectively.

What is circle?

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that, an equation of a circle, (x+5)²+(y-2)² = 4, we need to identify the center and radius of the circle,

The standard form for the equation of a circle is (x−h)²+(y−k)² = r². The center is (h, k) and the radius measures r units.

Comparing with the standard form, we get,

(h, k) = (-5, 2) and r² = 4

Therefore, the center is (-5, 2) and the radius is r = 4

Hence, the center and radius of the circle in the equation is given by (-5, 3) and 4 respectively.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ1

An ecologist wishes to mark off a circular sampling region having radius 13 m. However, the radius of the resulting region is actually a random variable R with pdf given below. s(r) = { 1-(13-r)?] 12

Answers

The ecologist needs to carefully choose the size of the sampling region based on the pdf of R.

Sampling is the process of selecting a representative subset of individuals or objects from a larger population to study or analyze.

To ensure that their data is representative of the entire ecosystem, it is important to choose a sampling region that is large enough and well-defined.

In this scenario, an ecologist wishes to mark off a circular sampling region with a fixed radius of 13 meters. However, due to natural variation, the actual radius of the sampling region is a random variable, denoted by R. The probability density function (pdf) of R is given as

=> s(r) = { 1-(13-r)] ¹²,

which means that the probability of a particular value of R is proportional to the area of a circle with that radius.

Now, when the ecologist takes a sample, it is important to consider the effects of this random variation in the sampling region. If the radius of the sampling region is too small, it may not capture the full range of variability in the ecosystem.

On the other hand, if the radius is too large, it may include areas that are not representative of the ecosystem as a whole.

To know more about sampling here.

https://brainly.com/question/14907601

#SPJ4

Please helpppppppppppppppp

Answers

3, pi, 2 is the order of least to greatest

Carmen planted some corn in the back yard and measures its height regularly. The last time she checked, the stalks were 52.6 inches tall. Now they are the same height. What is the percent of increase in the height of the stalks?

Answers

The percent of increase in the height of the stalks is given as follows:

0%.

How to obtain the percent of increase?

The percent of increase is obtained applying the proportions in the context of this problem.

A proportion is applied because the percent increase is given by the division of the increase by the initial amount, and multiplied by 100%.

The parameters for this problem are given as follows:

Change of 0, as the plant is of the same height as the initial height.Initial height of 52.6 inches.

Hence the percent increase is given as follows:

0/52.6 x 100% = 0%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Complete the table:
0
Cos(8)
a. 1
b. -1
?
90
10
C. 2
d.
0

Answers

a. 1

b. -1

?

90

10

c. 0

d. -2

Cost of headphones: $20.00 Tax: 6% What is the new cost?

Answers

Answer:

Step-by-step explanation:

e = 20 * (1+6/100) = 20 *  53 50  = 20 * 1.06 =$ 21.2

find two numbers whose product is 15 and sum is 16

Answers

Answer:

Step-by-step explanation:

l

Answer:

15+1

Step-by-step explanation:

Other Questions
What are examples of tones in literature? When a company discards machinery that is fully depreciated, this transaction would be recorded with the following entry:a) debit Machinery; credit Accumulated Depreciationb) debit Depreciation Expense; credit Accumulated Depreciationc) debit Cash; credit Accumulated Depreciationd) debit Accumulated Depreciation; credit Machinery Why there are positive and negative magnetic anomalies on the seafloor? If you add chromate, an oxidizing agent, to each of the following, would a green Cr+3 solution be formed?3-pentanol2-methyl-2-butanol1-propanol Read the excerpt from the primary source, "A Letter Written by Sarah Stockert."When my chance at stardom arrived, I answered the call immediately and wholeheartedly. As they say, the show must go on! My acting instinct rose to the occasion. I knew my lines, and no one would have known I had the slightest hint of stage fright.Striding onto the stage and taking my mark, my persona changed. The nerves vanished. Where to? I don't have a clue. In their place, perseverance and a little bit of confidence. The overhead lights were hot, blinding, and made it impossible to decipher faces. To be honest, I was a little annoyed that the producer hadn't noticed and turned them down.Read the excerpt from the secondary source, "The Show Must Go On."The producer called a quick intermission. Audience members were left bored and clueless waiting for the show to resume. The stage curtains were drawn, and behind the scenes, a search began. It seems that nerves had gotten the best of our star. Rumors were confirmed that Stockert had suffered a case of stage fright. She was found pacing in her dressing room. Nervous and too stunned to perform, she stalled the entire performance for a period of 20 minutes.The show did go on, and when the performance resumed, Stockert was already in position. Her onstage entrance had been removed. The glare of the bright lights ensured that our lead did not make eye contact with the audience. The strategies to remedy her stage fright worked.What is the major difference between the retelling of Sarah Stockert's performance in the primary and secondary sources? In the primary text, Sarah is not nervous. In the primary text, Sarah never makes it to the stage. In the secondary text, the audience is frustrated by Sarah's delay. In the secondary text, the audience is unaware of Sarah's nerves.What is the same about the retelling of Sarah Stockert's first night on Broadway in the texts "A Letter Written by Sarah Stockert" and "The Show Must Go On." In both texts, the audience was frustrated. In both texts, the audience was unaware of any problems. In both texts, Sarah Stockert impressed the crowd. In both texts, Sarah Stockert was nervous to perform Calculate the Kinetic energy of a truck that has a mass of 2900 kg and is moving at 55 m/s. Who created walking with monsters? 5/18+4/9 I need help pls NPC 1: Learn about family life in a time or society other than your own. Research and write a two-page report on a specific group. You may choose a different culture (a subculture in the U.S. or some other country), a different historical time period (the 1920s, the 1950s, or a past century), a religious community, or any group that is of interest to you. You may choose two groups to compare, or focus only on one. (Please add a bibliography of materials you use for research.) A box contains 4 red marbles, 6 white marbles, and 3 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary. which of the following steps are involved in the change management plan? each correct answer represents a part of the solution. choose all that apply. What is the 13th 14th 15th Amendment simplified? Two missing emperor tamarin monkeys found Tuesday in an abandoned house a few miles away from the zoo? 15) If a square prism has a volume of 104 cubic centimeters and a height of eight centimeters, explain how tofind the area of the side that is a square. Sally was removing her nail polish to get ready for a dance. She was also drinking a bottle of water. The doorbell rang and she rushed to answer it, leaving the open bottle of nail polish remover (acetone) and the bottle of water open. Sally forgot about them until the next morning and when she checked, the nail polish remover (acetone) was empty and the water looked untouched.Sally believes the particles in water stick together more. In terms of your knowledge of the strength of electrical forces and the structure of substances, explain Sally's statement. to americans the rise to modernity meant following the ideas of the enlightenment, which emphasized the free individual. on the one hand, the individual must be free from the tyranny of a king. on the other hand, ____ . which of the following is the appropriate sentence for the blank?the individual should be a part of the natural world. the individual should be free from the bonds of the natural world. the individual should follow the rules of nature. the individual should bond with the natural world. This person served three years in reform school for attempted burglary before writing many famous rock-and-roll songs. A.Ralph BuncheB.Duke EllingtonC.Barbara JordanD.Chuck Berry jordan peterson had an interview with vpro documentary whereupon the journalist asked a variety of questions to trap jordan peterson. True or False What is the difference between signs and symptoms examples? when a cloud forms, latent heat is ____ the atmosphere and the surrounding air temperature ____.