5. A path bounds a circular lawn at a park. If the inner edge of the path is 132 ft. Around, approximate the amount of

area of the lawn inside the circular path. Use T < 22

6. The area of a circle is 367 cm?. Find its circumference.

7. Find the ratio of the area of two circles with radii 3 cm and 4 cm.

8. If one circle has a diameter of 10 cm and a second circle has a diameter of 20 cm, what is the ratio of the area of

the larger circle to the area of the smaller circle?

9. Describe a rectangle whose perimeter is 132 ft. And whose area is less than 1 ft?. Is it possible to find a circle whose

circumference is 132 ft. And whose area is less than 1 ft?? If not, provide an example or write a sentence explaining

why no such circle exists.

10. If the diameter of a circle is double the diameter of a second circle, what is the ratio of area of the first circle to the

area of the second?

The unit vector in the same direction as v = 5i - 12j is (5i - 12j)/13 and the magnitude of this new unit vector is 1 is verified.

To find the unit vector in the same direction as a given vector, we first need to find the magnitude of the vector. The magnitude of a vector is the square root of the sum of the squares of its components. For the given vector v = 5i - 12j, the magnitude is:

|v| = √(5² + (-12)²) = √(25 + 144) = √169 = 13

To find the unit vector in the same direction as v, we divide v by its magnitude:

u = v/|v| = (5i - 12j)/13

This gives us the unit vector in the same direction as v. To verify that the magnitude of this new unit vector is 1, we need to find its magnitude:

|u| = √[(5/13)² + (-12/13)²] = √(25/169 + 144/169) = √(169/169) = 1

Therefore, the magnitude of the new unit vector is indeed 1, which confirms that it is a unit vector in the same direction as v.

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Answer:

1/3 x 8^2×pi(3.14)

Step-by-step explanation:

1/3 × 64 × 3.14

\(21 \frac{1}{3} \pi\)

Answer:

75.4 ft

Step-by-step explanation:

C=2(pi)r

C=2(pi)12=75.4

Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

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A unit ratio for the number of pieces to ounces is 30.

In Mathematics, the unit rate is sometimes referred to as unit price or unit ratio and it can be defined as the price that is being charged by a seller for the sale of a single unit of product or quantity.

In order to determine the unit price, we would use the following mathematical expression;

Unit rate = Number of pieces/Number of ounces

Unit rate = 210/7

Unit rate = 30.

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The Median of the following observation set 5 7 10 12 11 will be 10.

One measure of central tendency is the median. The median is the number that lies in the middle of the specified range of integers. It separates the higher half from the lower half of a particular data sample. At least half of the observations are above or equal to the median, and at least half of the observations are below the median.

The median can be calculated as follows when there are odd numbers of observations in a data collection:

First, arrange the data in ascending or descending order.

Step 2: If the number of observations (let's say n) is odd, the middle observation is the median of the given data.

Median = \((\frac{n+1}{2} )^{th}\) Observation.

Here n = 5, So median will be 3rd term that is 10.

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Answer:

36

Step-by-step explanation:

The given statement newton's root finding method always converge to the root at a quadratic convergence rate is False.

Newton's root finding method does not always converge to the root at a quadratic convergence rate. While the method can exhibit quadratic convergence under certain conditions, such as when the initial guess is close to the root and the function satisfies certain smoothness properties, it is not guaranteed in all cases.

The convergence rate of Newton's method depends on the behavior of the function and the initial guess. It can vary from quadratic convergence (the fastest rate) to linear convergence or even slower convergence in some cases. Factors such as multiple roots, singularities, or oscillatory behavior of the function can affect the convergence rate and stability of Newton's method.

Therefore, it is not accurate to claim that Newton's root finding method always converges to the root at a quadratic convergence rate.

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Answer: B,C, and E 100% on edge 2021

Step-by-step explanation:

sorry for the delayed response xx. Goodluck everyone on your finals.

Answer: D - 6x^2 + 5x - 4/15

Step-by-step explanation:

To simplify the expression (8x^2 - 3x + 1/3) - (2x^2 - 8x + 3/5), we can combine like terms within the parentheses

8x^2 - 3x + 1/3 - 2x^2 + 8x - 3/5

Next, we can combine the like terms

(8x^2 - 2x^2) + (-3x + 8x) + (1/3 - 3/5)

Simplifying

6x^2 + 5x + (5/15 - 9/15)

The fractions can be simplified further

6x^2 + 5x + (-4/15)

Thus, the simplified expression is 6x^2 + 5x - 4/15

Answer:

y =-5-4x

Step-by-step explanation:

Answer:

a₅₀ = 250

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then

a₅₀ = 5 + (49 × 5) = 5 + 245 = 250

Answer: 17

Step-by-step explanation: set 3x-9(TS)= to 42(PQ)

you should get 51=3x

divide by three and get 17 hope this helps

Answer:Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form. 1.23 × 108; If you observe carefully, 1.23 is a decimal number between 1.0 and 10.0 and so we have the standard form of 123,000,000 as 1.23 × 10 8.

Step-by-step explanation:

P.S i am emo

Answer: x=4

Step-by-step explanation:

Step 1. turn you y into a 0

0=4x-16

Step 2. get x alone

a.

0  =  4x  -16            

+16           +16

*what you do to one side of the equal sign you must to the other.

b.

0 + 16 = 4x

(divide by 4)  16 = 4x  (divide by 4)

*divide by 4 to get rid of the 4 next to the x, remeber to do both sides of the equal sign

4 = x

The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

Step-by-step explanation:

If the ratio is 2:4:5 there are 2+4+5=11 equal parts...

506/11=46

So each part is equal to 46 so 506 in a ratio of 2:4:5 is:

92:184:230

The equation 4(t + 25) = 4(t + 50) - 4(0.15t) can be solved as explained below to determine the value of t, which is t = 166.67.

If we are given the equation, 4(t + 25) = 4(t + 50) - 4(0.15t), to find the value of the variable t, follow the steps explained below.

4(t + 25) = 4(t + 50) - 4(0.15t) [given]

Open the parentheses by applying the distributive property:

4t + 100 = 4t + 200 - 0.6t

Combine like terms:

4t + 100 = 3.4t + 200

4t - 3.4t = -100 + 200

0.6t = 100

Divide both sides by 0.6

0.6t/0.6 = 100/0.6

t = 166.67

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it is 10:28 right now its what my computer says

Answer:

Quarter to 8....

Step-by-step explanation:

hope it helps

-360


---This is a verified answer from K12 Private Academy--

The third side of the triangle is 12 units and the measure of the angle θ is 37°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The third side of the triangle 'a' is calculated by Pythagoras' theorem. Then we have

c² = a² + b²

20² = a² + 16²

400 = a² + 256

a² = 400 - 256

a² = 144

a = 12

Then the value of the angle θ is calculated as,

sin θ = 12 / 20

sin θ = 3 / 5

sin θ = sin 37°

θ = 37°

The third side of the triangle is 12 units and the measure of the angle θ is 37°.

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Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

\(P(A \cap B) = P(A)P(B)\)

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

Hence:

\(p = 0.55(0.6) + 0.45(0.4) = 0.51\)

Thus, option c is correct.

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Answer:

it is a

Step-by-step explanation:

becuase that is the answer

Answer:

The answer is A.

Step-by-step explanation:

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The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.

The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.

When t = 0

V = 3 + 2(0) = 3 liter

When t = 1

V = 3 + 2(1) = 5 liter

When t = 2

V = 3 + 2(2) = 7 liter

When t = 3

V = 3 + 2(3) = 9 liter

When t = 4

V = 3 + 2(4) = 11 liter

When t = 5

V = 3 + 2(5) = 13 liter

Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.

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The required inequality is 3.5x > 63 oz, where x represents windows Savannah cleans.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x be the number of windows Savannah cleans.

The amount of window cleaner Savannah uses can be represented by the equation:

3.5x = oz

To represent the inequality that Savannah uses more than 18 windows, we can write:

x > 18

This inequality states that the number of windows Savannah cleans (x) is greater than 18.

Combining both the equation and the inequality we can write

3.5x > 63 oz

It tells us that the amount of window cleaner Savannah uses (3.5x) is greater than 63 oz when she cleans more than 18 windows.

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Answer:

y = 7x + 32

Step-by-step explanation:

The general equation of the slope-intercept form is

Given two points which line on the same line, we can find the slope, m, using the slope formula, which is

\(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\),

If we allow (-4, 4) to be our x1 and x2 point and (-5, -3) to be our y1 and y2 point, we can find the slope by plugging the points into the slope formula:

\(m=\frac{-3-4}{-5-(-4)}\\ \\m=\frac{-7}{-5+4}\\ \\m=\frac{-7}{-1}\\ \\m=7\)

Since we now know the slope, we can b, the y-intercept by plugging in any of the two points for x and y and the slope (7) and solving for b:

Let's try the first point (-4, 4):

4 = 7(-4) + b

4 = -28 + b

32 = b

Thus, the equation of the line passing through the points (-4, 4) and (-5, -3) in slope-intercept form is y = 7x + 32