Which measurement is closest to the circumference of a circle with an area of 36 square feet?
A
12.0 feet
B
21.3 feet
С
103.2 feet
D
113.0 feet

Answer:

Exact form: 10/7

Mixed number form: 1 3/7

So it is C

Step-by-step explanation:

Answer:

what they said ^^

Step-by-step explanation:

I did this so no one puts the incorrect answer

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Answer:

thats not easy

Step-by-step explanation:

Answer:

-17 and -1

Step-by-step explanation:

The solutions of the given equation are 2 or -2

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x²+2 = 6

x²+2 = 6

Solving we get,

x²+2 = 6

x² = 6-2

x² = 4

x = ±2

Hence, there are two solutions of the equation 2 or -2

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The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.

To calculate the standard deviation for this data set, follow these steps:

1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65

2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275

3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287

Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

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Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and            [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].

(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point  (x = 2)

(c) The function f(x) is less than 0 when [x < (-1)]

In the reference attachment attached along with the question statement, we are provided with a graph of a certain function "f",

And as per the question statement, we are required to determine the x-values for the following:

(a) for which "f" is increasing or decreasing,

(b) [f(x) > 0]

(c) [f(x) < 0]

From the graph, it is very clear that, the slope is rising from [(-∞) < x ≤ 0] and [2 < x < ∞], while, declining from [0 < x ≤ 2] of the x-axis. Therefore,

(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and            [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].

(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point  (x = 2)

(c) The function f(x) is less than 0 when [x < (-1)]

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Answer:

(7, −3.25)

Step-by-step explanation:

It's the same distance just in opposite direction

All of 4x+8 is under a cube root sign.

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

Work Shown:

To find the inverse, we swap x and y, then solve for y.

\(y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\\)

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

Side note:

If \(f(x) = \frac{1}{4}x^3 - 2\) and \(g(x) = \sqrt[3]{4x+8}\), then \(f(g(x)) = x\) and \(g(f(x)) = x\)for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.

Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

12=5+4p+3p ---> subtract the 5 to the other side

12-5=4p+3p ---> combine like terms

7=p

Hope this helps! :)

1. We need to find the distance jumped by the Gold winner, we know that the total distance jumped by three athletes is 25.04, so we can subtract the distances from the Silver and Bronze winners in order to determine what we want. This is done below:

Now we need to represent this number as a fraction in its simplest form.

2. In order to determine which medal he would receive, we need to add the distance he actually jumped by 0.06 and compare to the table. We have:

He would win a Bronze medal.

3. In order to determine how farther Athlete B jumped more than Athlete D, we need to subtract their distances.

The athlete B jumped 0.26 meters farther than Athlete D.

Answer:

y = 2x + 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 10) ← 2 points on the line

m = \(\frac{10-0}{0-(-5)}\) = \(\frac{10}{0+5}\) = \(\frac{10}{5}\) = 2

the line crosses the y- axis at (0, 10 ) ⇒ c = 10

y = 2x + 10 ← equation of line

Step-by-step explanation:

The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:

A( 0,0 ), → (0,0)

B(2, 0) → (-2,0)

and C(0, 4). → (0,-4)

Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)

Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:

(0,0) → (0,0)

(-2,0)→( -6,0)

(0,-4) → (0,-12)

The answer is

A' (0,0) B' (-6,0) C' (0,-12)

The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.

So, the gradient of f at the point (1,2,2) is: ∇f(1,2,2) = (1/2) i + (1/4) j + (1/2) k where i, j, and k are the unit vectors in the x, y, and z directions, respectively.

To find the gradient of the function f(x,y,z) at the point (1,2,2), we need to find the partial derivatives of f with respect to x, y, and z and evaluate them at the given point.

So, we have:

f(x,y,z) = (x^2 y^2 z^2)^(-1/2) ln(xyz)

∂f/∂x = (-1/2) (x^2 y^2 z^2)^(-3/2) (2xy^2 z^2) + (1/x) (x^2 y^2 z^2)^(-1/2)

= (-xy^2 z^2)/(x^2 y^2 z^2) + (1/x) (x^2 y^2 z^2)^(-1/2)

= -y^2 z^2/(x^2 y^2 z^2) + 1/xsqrt(x^2 y^2 z^2)

= -1/(xyz) + 1/x

∂f/∂y = (-1/2) (x^2 y^2 z^2)^(-3/2) (x^2 2yz^2) + (1/y) (x^2 y^2 z^2)^(-1/2)

= (-x^2 yz^2)/(x^2 y^2 z^2) + (1/y) (x^2 y^2 z^2)^(-1/2)

= -x^2/z^2 + 1/ysqrt(x^2 y^2 z^2)

= -x^2/(z^2 y) + 1/y

∂f/∂z = (-1/2) (x^2 y^2 z^2)^(-3/2) (x^2 y^2 2z) + (1/z) (x^2 y^2 z^2)^(-1/2)

= (-x^2 y^2 z)/(x^2 y^2 z^2) + (1/z) (x^2 y^2 z^2)^(-1/2)

= -x^2 y^2/(z^2 x^2 y^2) + 1/zsqrt(x^2 y^2 z^2)

= -x^2 y^2/(z^3) + 1/z

Now we can evaluate these partial derivatives at the point (1,2,2):

∂f/∂x (1,2,2) = -1/(122) + 1/1 = 1/2

∂f/∂y (1,2,2) = -1/(222) + 1/2 = 1/4

∂f/∂z (1,2,2) = -1/(122) + 1/2 = 1/2

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer:

15 cm every 1 minute

Step-by-step explanation:

Simply divide 45 by 3

The power delivered by the student's biceps is 51.45 watts (W).

To calculate the power delivered by the student's biceps while doing a pull-up, we use the formula:

Power = Work/Time

Since the physics student lifts her 42 kg body to a distance of 0.25 m, the work done is given by:

Work = Force x Distance

The force exerted by the student is equal to her weight, which is given by:

F = mg

where m = 42 kg (mass of the student) and

g = 9.8 m/s² (acceleration due to gravity)

Therefore,

F = 42 kg x 9.8 m/s²

= 411.6 N (weight of the student)

Hence, the work done by the student is:

Work = Force x Distance

= 411.6 N x 0.25 m

= 102.9 J (joules)

The time taken by the student to complete the pull-up is given as 2 seconds.

Therefore:Time = 2 s

Now we can substitute the values into the formula for power:

Power = Work/Time

= 102.9 J/2 s

= 51.45 W

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Number of hours Marissa worked at pizza place is 26 hours.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now, it is given that,

Marissa's earning per hour = $9

Money received from selling of shoes = $80

Total money left this week = $314

Hence, Total earning = Total money left this week - Money received from selling of shoes

Total earning =  $314 - $80

⇒Total earning = $234

Therefore,

Hours of work = Total earning/earning per hour

⇒Hours of work = $234/$9 hours

⇒Hours of work = 26 hours

Hence,Number of hours Marissa worked at pizza place is 26 hours.

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Answer:

20 - 5 - 10

Step-by-step explanation:

An expression does not contain an equal sign like an equation does.

Answer:

20-15

Step-by-step explanation:

hope this is what your looking for

Answer:

13/50

Step-by-step explanation:

13 does not have any factors w except 1 and 13, so you can't simplify it anymore than 13/50.

Answer:

(9, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

4x + 3y = 12

2x + 3y = -6

Step 2: Rewrite Systems

4x + 3y = 12

Step 3: Redefine Systems

-4x - 3y = -12

2x + 3y = -6

Step 4: Solve for x

Elimination

Step 5: Solve for y

Answer:

8.25

Step-by-step explanation:

19.8/2.4=8.25

The number of students in each bus is 21

Given data

Total number of students on the trip = 172

25 students traveled in cars

7 buses were filled

let the number students on each bus be x

number of students on the bus is gotten by

172 - 25 = 147

so 147 students travelled by bus and the total number of buses is 7.

to get the number of students in each bus we solve as follows

147 / 7 = 21

Hence each bus contains 21 students.

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Answer:

Similarities: What you do with one side you have to do with another side.

Similarities: Your goal is to isolate a variable at the end.

Differences: When dividing or multiplying by a negative number, you flip the sign of the inequality but you don't do that for an equality.

Answer:

2(x + 5)

Step-by-step explanation:

1. Common factor

2x + 10

2(x + 5)

Solution

2(x + 5)

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Answer:

$0.65

Step-by-step explanation:

3.75-.5=3.25

3.25/5=.65

The constant of proportionality of the equation c = 7m is (b) 7

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

c = 7m

The above equation is a linear equation

Also, the equation is a proportional equation

A proportional linear equation can be represented as

y = mx

Where

Constant of proportionality = m

When the equations are compared, we have

Constant of proportionality = 7

Hence, the constant of proportionality is 7

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