6. The diameter of a circle is 9 feet. What is the measure of its circumference? Round to the nearest tenth.
A. 28.3 ft

B. 63.6 ft

C. 4.5 ft

D. 14.1 ft

When given a function f defined as f(x) = ax + b, where a and b are constants, and f(3) = 10 and f(8) = 12, the values of a and b are 0.4 and 0.8, solved using a system of equations. So the right answer is O a = 0.4, b = 8.8.

The values of a and b can be determined as follows:

f(3) = 10 implies that 10 = 3a + bf(8) = 12 implies that 12 = 8a + b

We can solve this system of equations to get the values of a and b.

One way to do this is to use elimination: We can eliminate b by subtracting the first equation from the second equation: 12 - 10 = (8a + b) - (3a + b)2 = 5a

Solving for a, we get a = 2/5.

Substituting this value of a into the first equation, we can solve for b:10 = 3a + bb = 10 - 3a

Substituting the value of a = 2/5, we get: b = 10 - 3(2/5)b = 10 - 6/5b = 44/5

Therefore, the values of a and b are: a = 2/5 and b = 44/5.

The correct answer is: a = 0.4, b = 8.8.

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Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

Answer:

2-241x

Step-by-step explanation:

There are 1,716 different orders of finish possible for the first three positions in a thirteen-team high school baseball league.

The number of different orders of finish for the first three positions in a thirteen-team baseball league can be calculated using the concept of permutations. Since order matters, we can use the permutation formula to calculate the number of possible arrangements.

The permutation formula is given by:

P(n, r) = n! / (n - r)!

where n is the total number of items and r is the number of items selected.

In this case, we have 13 teams competing for the first three positions. So, we need to find the number of permutations for selecting 3 teams out of 13.

Using the permutation formula, we can calculate:

P(13, 3) = 13! / (13 - 3)!

         = 13! / 10!

         = (13 * 12 * 11 * 10!) / 10!

         = (13 * 12 * 11)

         = 1,716

Therefore, there are 1,716 different orders of finish possible for the first three positions in a thirteen-team high school baseball league.

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Answer:

I think it is b

Step-by-step explanation:

let me know what the outcome is

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

An inequality for the graph above is y ≤ -3x + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 6)/(3 - 0)

Slope (m) = -9/3

Slope (m) = -3

At data point (0, 6) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -3(x - 0)  

y = -3x + 6

y ≤ -3x + 6 (since the solid line is shaded below).

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In a transportation problem, the activities correspond to the shipping lanes while the supply of each activity is the quantity shipped.

In the transportation problem, activities are the shipping lanes that are taken to transport goods from sources to destinations.

The quantities to be shipped are known as supplies or availabilities. The transportation problem is a linear programming problem that is used to determine how to allocate resources to obtain a minimum cost or maximum profit.The transportation problem is one of the most widely used problems in linear programming. It is used to solve many real-world problems such as supply chain management, production planning, and logistics.

In the transportation problem, we are given a set of sources and a set of destinations. The supply and demand at each source and destination are also given. The objective is to minimize the total cost of transporting the goods from sources to destinations while satisfying the demand and supply constraints.

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Here's a short Python program that uses a try block to handle the exception when trying to write to a file that is not writable:

python

Copy code

try:

   # Open the file in write mode (which requires write permissions)

   with open("csc4992.txt", "w") as file:

       # Attempt to write to the file

       file.write("This is a test.")

except IOError:

   # Handle the exception if the file is not writable

   print("Cannot write to the file.")

In this example, the program tries to open the file named "csc4992.txt" in write mode using the open() function. If the file is not writable or does not exist, an IOError exception will be raised. The except block will then be executed, and it will print the message "Cannot write to the file."

Please make sure to adjust the file name or location as needed for your specific case.

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A patent is a form of intellectual property that gives an individual or organization the exclusive right to manufacture, use, and/or sell an invention for a set period of time.

The length of a patent varies by country, but generally lasts for 20 years from the date the patent is filed with the government. This period can be extended in certain cases if the patent office grants a patent term extension.

The formula for calculating the length of a patent is: Length of Patent = Initial 20 Year Period + Extension. The initial 20 year period starts from the filing date of the patent application and is the same for all countries. However, the length of the extension varies depending on the country and the circumstances of the patent. For example, some countries may offer a 5-year extension, while others may offer a 10-year extension.

The length of a patent must be carefully calculated so that the patent owner can maximize the benefits of the patent. By calculating the patent length and extension, the patent owner can ensure that they are able to take advantage of their exclusive right to the invention for the maximum amount of time possible.

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Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.

(a) To find the differential of the function y = tan(√3t), we can differentiate it with respect to t and then multiply by dt.

dy = d(tan(√3t))

  = sec²(√3t) * d(√3t)

  = √3 * sec²(√3t) * dt

Therefore, dy = √3 * sec²(√3t) * dt.

(b) To find the differential of the function y = (5 - v²) / (5 + v²), we can differentiate it with respect to v and then multiply by dv.

dy = d((5 - v²) / (5 + v²))

  = [(d(5 + v²) * (5 - v²) - (5 - v²) * d(5 + v²))] / (5 + v²)²

  = [2v * (5 - v²) - (5 - v²) * 2v] / (5 + v²)²

  = [-4v³] / (5 + v²)²

Therefore, dy = -4v³ / (5 + v²)².

These are the differentials for the given functions.

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Answer:

\(\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}\)

Step-by-step explanation:

\(\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125\)

Answer:

1320xy³z³

Step-by-step explanation:

Write the prime factorization for both terms:

165y³z = 3 · 5 · 11 · y³ · z

88xy³z³ = 2³ · 11 · x · y³ · z³

The Lowest Common Multiple is the product of the highest power of each factor.

LCM = 2³ · 3 · 5 · 11 · x · y³ · z³

LCM = 1320xy³z³

Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

Answer:

Step-by-step explanation:

half a pound

The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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When working together, it will take Angela and Brandon about 3 hours and 12 minutes to paint the school rock.

The answer is 3

Let's first assume that Angela can paint the school rock in x hours, then Brandon would be able to paint the school rock in y hours.Angela’s work rate: \frac{1}{x} of the rock per hour .

So, Angela’s work rate = \($\frac{1}{5.5}$\)and Brandon’s work rate = \frac{1}{7} Working together, Angela and Brandon’s work rate will be: \frac{1}{5.5} + \frac{1}{7} of the rock per hour \($\frac{1}{5.5} + \frac{1}{7}$ = $\frac{0.1818 + 0.1429}{1}$ = $\frac{0.3247}{1}$\) Working together, they will paint the rock in \frac{1}{0.3247} hours = 3.08 hours. Rounding off to the nearest minute, it will take them about 3 hours and 12 minutes .

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The largest share of national health expenditures is typically attributed to D. personal health care.

What is personal health care?

Personal health care refers to the direct provision of medical goods and services to individuals, including services such as hospital care, physician services, prescription drugs, and other medical supplies. These expenses typically make up the majority of national health expenditures in many countries, including the United States.

Examples of Personal Health Care Services: Personal health care expenditures include costs associated with hospital care (inpatient and outpatient), physician and specialist services, laboratory tests, prescription drugs, medical devices, home health care, nursing home care, and other healthcare services utilized by individuals.

Factors Contributing to Personal Health Care Expenses: Several factors contribute to the high share of national health expenditures attributed to personal health care. These include the increasing prevalence of chronic diseases, advances in medical technology, rising healthcare utilization, and an aging population requiring more healthcare services.

Private Health Insurance: While personal health care expenditures primarily refer to direct payments made by individuals or on their behalf, a significant portion of these costs is covered by private health insurance. Private insurance plans help individuals offset the financial burden of healthcare expenses by pooling risks and providing coverage for various medical services.

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Answer:

8.1-5.6n

Step-by-step explanation:

So first combine like terms

3.1+5=8.1

-3.6n-2n= -5.6n

Now just combine them

8.1-5.6n

Answer:

24$

Step-by-step explanation:

9 / 75% (or .75 it doesn't matter which one) = 12

12 + 12 = 24$

hope this helps...

The axis of symmetry of a parabola with vertex (5, -10) is x = 5, which is a vertical line passing through the vertex.

The axis of symmetry of a parabola is a vertical line that passes through its vertex and divides the parabola into two mirror-image halves. In this case, the vertex of the parabola is given as (5, -10), which means the vertex lies on a horizontal line passing through the axis of symmetry.

The equation of the axis of symmetry can be written as x = h, where (h, k) is the vertex of the parabola.

As from the given points h corresponds to value '5'. Therefore, the axis of symmetry for this parabola is x = 5, which is a vertical line passing through the point (5, -10).

To visualize this, you can imagine folding the parabola along its axis of symmetry. The left and right halves of the parabola will overlap perfectly, creating a symmetrical shape.

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Answer:

10

Step-by-step explanation:

9x10=90 then add the shipping and get 100

Answer: 240 x 1.50 /2 (340)

Step-by-step explanation:

Answer:

B, if you look at the differences between the two systems, you can see that the second right equation is the left bottom equation multiplied by four.

Answer:

The answer is ≈3 to the nearest whole number

Step-by-step explanation:

using SOH CAH TOA

BCA

sin0=opp/hyp

sin0=7.9/11

0=sin‐¹(7.9/11)

0=46 to the nearest degree

<A=<D

so,<EDF=46°

tan0=adj/hyp

tan46=x/3.3

x=tan46×3.3

x=3 to the nearest whole number

Answer:

Factoring.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

y = 2x² - 6x - 8

0 = 2x² - 6x - 8

Step 2: Find roots

And we have our final answer!

Answer:

first take 2 out of the equation

y=2(x^2-3x-4)

then factor

y=2(x-4)(x+1)

then solve

(x-4)=0 .  (x+1)=0

x=4 .          x=-1