The area of a circle is 16π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Answer:

1.total distance traveled

2.total time traveling

Step-by-step explanation:

I took the test :)

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.

1. Calculate the total amount of money needed to reach the goal:
  Goal amount = $75

2. Determine the number of pencils and bracelets you need to sell to reach the goal:
  Let's assume you sell x number of pencils and y number of bracelets.

  The amount raised from selling pencils = x * $0.50
  The amount raised from selling bracelets = y * $1.00

  The total amount raised from both items should be equal to the goal amount:
  x * $0.50 + y * $1.00 = $75

3. Simplify the equation:
  0.50x + 1.00y = 75

4. Solve for one variable in terms of the other:
  Let's solve for x in terms of y:
  0.50x = 75 - 1.00y
  x = (75 - 1.00y) / 0.50

5. Substitute the value of x into the equation:
  (75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
  75 - 2y + y = 75
  -y = 0
  y = 0

6. Find the value of x:
  x = (75 - 1.00 * 0) / 0.50
  x = 75 / 0.50
  x = 150

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To know more about fundraising goal visit:

https://brainly.com/question/28324495

#SPJ11

The correct option is b) In order to determine the probability of skiing given that someone does not snowboard, we need to use conditional probability. We know that the probability of not snowboarding is 1 minus the probability of snowboarding, which is 1 - 7/17 = 10/17.

Now, we can use Bayes' theorem to find the probability of skiing given that someone does not snowboard:

P(ski | not snowboard) = P(not snowboard | ski) * P(ski) / P(not snowboard)

We don't have the probability of not snowboarding given that someone skis, so we have to assume that it's the same as the probability of not skiing given that someone snowboards, which is 3/7. We also know that the probability of skiing is 3/13. So, plugging these values into the formula:

P(ski | not snowboard) = (3/7) * (3/13) / (10/17) = 27/130

Therefore, the answer is not listed among the choices given.

To know more about Probability  visit :

https://brainly.com/question/31828911

#SPJ11

The formula for the slope of two points whose coordinates are (x₁,y₁) and (x₂,y₂)  are ,m =  (y₂-y₁)/(x₂-x₁)

m₁₂ = \(\frac{(6-3)}{(1+4)}\) = \(\frac{3}{5}\)

m₂₃ = \(\frac{(2-6)}{(5-1)}\) = \(\frac{-4}{4}\) = -1

m₃₄ = \(\frac{(-3-2)}{(3-5)}\) = \(\frac{-5}{-2}\) = \(\frac{5}{2}\)

m₄₁ = \(\frac{(-3-3)}{(3+4)}\) = \(\frac{-6}{7}\)

If two lines are parallel, then their slopes are the same

AB is not parallel to CD

BC is not parallel to AD

therefore

Quadrilateral ABCD is not a parallelogram as the opposite sides are not parallel .

Learn more about two point formula of slope by:

https://brainly.com/question/3654818

#SPJ1

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

Learn more about supplementary angles here:

brainly.com/question/3027144

#SPJ1

The complete question is as follows:

Find the value of x for the below figure.

Answer:

x-y=3

x+y=13

2x=16

x=16/2

x=8

x+y=13

8+y=13

y=13-8

y=5

Answer:

x + y = 13

x - 3 = y

or

x + y = 13

y - 3 = x

Answer:

B C E

Step-by-step explanation:

(:

We are required to find the expression when the left side is simplified.

The expression you get when you simplify the left side is 5 + 7x

Given:

10 + 7x − 5 = 5x − 3 + 2(x + 4)

Left side of the equation: 10 + 7x − 5

Right side of the equation: 5x − 3 + 2(x + 4)

10 - 5 + 7x = 5x - 3 + 2x + 8

5 + 7x = 7x + 5

5 - 5 = 7x - 7x

0 = 0

Therefore, the expression you get when you simplify the left side is 5 + 7x

Read more:

https://brainly.com/question/3215028

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

\(S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m\)

Answer:

1.96

Step-by-step explanation:

Answer:

The answer is -3x + 6y = 36

Step-by-step explanation:

A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

To learn more about array visit the link:

https://brainly.com/question/13261246

#SPJ1

A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

To learn more about array visit the link:
https://brainly.com/question/29641515
#SPJ1

Answer:

3V/b = h

Step-by-step explanation:

Step 1: Write equation

V = 1/3bh

Step 2: Multiply both sides by 3

3V = bh

Step 3: Divide both sides by b

3V/b = h

The correct option is b. ROE x book value per share.

One way to calculate EPS is to get ROE x book value per share.

Earnings per share (EPS) is determined by dividing a company's profit by the number of outstanding shares of common stock. The resulting number is used to determine a company's profitability.

Some key features regarding the Earnings Per Share (EPS) are-

To know more about the Earnings Per Share (EPS), here

https://brainly.com/question/19578852

#SPJ4

Answer:

G. 10 precent

Step-by-step explanation:

Answer:

x = -4/3

Step-by-step explanation:

1. Distribute

6(x - 4) = 24x

6x - 24 = 24x

2. Add 24 to both sides of equation

3. Simplify

4. Subtract 24x from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

hope it helped

Answer:

x=-4/3

Step-by-step explanation:

6x-24=24x

6x=24x+24

6x-24x=24

-18x=24

x= -4/3

Answer:

answer is

Step-by-step explanation:

Object distance (u) = -100cm  Focal length (f) = 50cm Image distance = v  By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm  Hence the image is formed at 100 cm behind the lens.  Object distance (u) = -100cm  Focal length (f) = -25cm  Image distance = v  By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265

We will determine the length and width of the patio as follows:

*First: We write the equations that we can derivate from the text, those are:

&

&

*Second: We will replace this last two equations in the first one and solve for x:

So, we have that the width of the patio is 14 feet long.

*Third: We determine the length:

So, we have that the lenght of the patio is of 35 feet long.

The area of the field is 10,765.44 square meters.

Given that:

Diameter, d = 72 m

Width, W = 72 m

Length, L = 93 m

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area of the field is calculated as,

A = (π/4)d² + W·L

A = (3.14 / 4) x 72² + 72 x 93

A = 4,069.44 + 6,696

A = 10,765.44 square meters

The area of the field is 10,765.44 square meters.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ1

Stool samples for testing for parasitic infections should ideally be collected within a few days of hospitalization.

The exact time frame may vary depending on the specific parasitic infection being tested for and the laboratory performing the test.

It is best to consult with the laboratory or a healthcare professional for guidance on when to collect and submit the sample for testing.

Stool samples should be collected within a few days of hospitalization to test for parasitic infections. Exact time frames may vary; consult a healthcare professional or laboratory for guidance.

It's important to note that some parasitic infections may have a longer incubation period before they can be detected in a stool sample, so collecting the sample within a few days of hospitalization may not always be sufficient. Additionally, some parasitic infections may not produce symptoms right away, making it even more difficult to determine the appropriate time to collect a stool sample.

In these cases, it may be necessary to collect multiple samples over a period of time in order to increase the chances of detecting the infection.

Learn more about parasitic infections:
https://brainly.com/question/29543454

#SPJ4

Answer: 22.79

Step-by-step explanation:

A=length x width

4.3x5.3=22.79

The given linear programming problem aims to maximize the objective function \(Z = 3x1 + 2x2\), subject to four constraints: x1 ≤ 4, x2 ≤ 6, 3x1 + 2x2 ≤ 18, and x1 ≥ 0, x2 ≥ 0.

The objective of linear programming is to optimize (maximize or minimize) a linear objective function while satisfying a set of linear constraints. In this case, the objective is to maximize \(Z = 3x1 + 2x2\).

The constraints in the problem define the feasible region, which is the set of all points that satisfy the constraints. The constraints state that x1 must be less than or equal to 4, x2 must be less than or equal to 6, and the linear combination \(3x1 + 2x2\) must be less than or equal to 18. Additionally, both x1 and x2 must be greater than or equal to zero.

To solve this linear programming problem, graphical methods or optimization algorithms such as the simplex method can be employed. The feasible region is determined by graphing the constraints and finding the overlapping region. The optimal solution is the point within the feasible region that maximizes the objective function.

The explanation of the solution, including the optimal values of x1 and x2, the maximum value of Z, and the graphical representation of the problem, can be provided based on the chosen method of solving the linear programming problem.

Learn more about Linear Programming problem (LPP) here:

https://brainly.com/question/29405467

#SPJ11

The 14.9% increase in Sylvia's lead lathe tech's hourly wage of $18.50 results in a $2.75 per hour increase. Assuming the lead lathe tech works 2,080 hours per year, the additional cost to Sylvia's annual wages budget would be approximately $5,720, excluding benefits or taxes.

First, we need to find the percentage increase in the lead lathe tech's hourly wage. The increase requested is $2.75, which is 14.9% of the current wage rate ($18.50). To calculate the percentage increase, we divide the increase by the current wage rate and multiply by 100: ($2.75 / $18.50) * 100 ≈ 14.9%.

To determine the additional cost to Sylvia's annual wages budget, we need to know the total number of hours worked by the lead lathe tech in a year. Let's assume the lead lathe tech works 40 hours per week and there are 52 weeks in a year, resulting in a total of 2,080 hours.

To calculate the annual cost of the wage increase, we multiply the hourly increase ($2.75) by the total number of hours worked (2,080): $2.75 * 2,080 ≈ $5,720.

Therefore, the 14.9% increase in the lead lathe tech's hourly wage will cost Sylvia an additional $5,720 in her annual wages budget, excluding benefits or taxes.

Learn more about percentage here:

https://brainly.com/question/16797504

#SPJ11

Answer:

30

THATS THE ANSWER FOR SOME REASON ITS NOT LETING ME SEND IT  IT HAS TO 20 WORDS SO BLA LA BLA

Answer:

The answer to the question is 2(l+w).

Answer: \(d=-15sin\frac{\pi }{4}t\)

Step-by-step explanation:

The object is at equilibrium (\(d=0\)) when \(t=0\), so you use the equation \(d=asin(x)t\). The amplitude \(a\) is 15, and it represents the maximum displacement from 0.

To find \(x\), use the formula for the period: \(\frac{2\pi }{x}\). The period is 8 minutes, so you set up the formula  \(\frac{2\pi }{x}=8\) and solve for \(x\).

\(x=\frac{\pi }{4}\)

Because the object initially moves in a negative direction, the equation should have a negative in front.

Therefore, the answer is \(d=-15sin\frac{\pi }{4}t\)

"The speeds in race a are likely to be near 145 mph and the speeds in race b are likely to be near to 153 mph" correctly describes the consistency of the speeds of the cars in the two races.

Based on the given information, the box plot for race A has a larger range of speeds (from 120 to 170 mph) compared to the range of speeds in race B (from 125 to 165 mph). The box plot for race A also has a larger interquartile range (from 143 to 165 mph) compared to the interquartile range in race B (from 140 to 150 mph). However, the median speed in race A (153 mph) is lower than the median speed in race B (145 mph).

Therefore, it is not accurate to say that the speeds in race A are likely to be near 170 mph and the speeds in race B are likely to be near 165 mph. Likewise, it is not accurate to say that the speeds in race A are likely to be near 120 mph and the speeds in race B are likely to be near 125 mph.

The correct answer is that the speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near 153 mph. This is because the medians of the two box plots are relatively close to each other, and the box plot for race B has a smaller range and interquartile range, indicating greater consistency in the speeds of the cars in that race compared to race A.

To learn more about speeds here:

https://brainly.com/question/13235323

#SPJ4

Answer:

b i think

Step-by-step explanation:

The product of (4x² - 2x)( -3x³ - 4x² + 1) is, - 12x⁵ - 10x⁴ + 8x³ + 4x² - 2x.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, Are the product of two quadratic expressions (4x²-2x)(-3x³-4x²+1).

= 4x²(- 3x³ - 4x² + 1) - 2x(- 3x³- 4x² + 1).

= - 12x⁵ - 16x⁴ + 4x² + 6x⁴ + 8x³ - 2x.

= - 12x⁵ - 10x⁴ + 8x³ + 4x² - 2x.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ1