Find the circumference of the circle.
Use 3.14 for pie.
C=2πr
13 cm
Give your answer to the nearest hundredth.
C = [?] cm

The ethnicity of respondents in a political poll of randomly selected adults is an example of a categorical variable.

A categorical variable is a type of variable that represents data that can be categorized into distinct groups or categories. In this case, the ethnicity of the individual respondents in the political poll represents different categories such as Asian, African American, Hispanic, Caucasian, etc. Each respondent falls into one of these categories based on their ethnicity.

The variable is categorical because it does not have numerical values that can be quantified or measured. Instead, it represents qualitative data that can be described using labels or categories.

Therefore, the ethnicity of the individual respondents in a political poll of randomly selected adults is an example of a categorical variable.

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¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿???????????????

Very sry to tell that I really don't know it...

Answer:

-3 < x < -2

Step-by-step explanation:

Here, we want the interval in which g is increasing

The interval are the point in which we have an upward curve

From the given graph, we can see an upward curve at -3 < x < -2

And that is our answer

Answer:

i am trying to answer fast as i can, so sorry for the bad handwriting

Answer:

5

Step-by-step explanation:

a. Simple interest: around 14.29 years.

b. Annual compound interest: about 5 years.

c. Continuous compound interest: roughly 4.95 years.



a. With a 14 percent simple interest rate, the time it takes for a sum to double can be calculated using the formula:Time = (100 / interest rate) * 2

In this case, the interest rate is 14 percent, so the time it takes for the sum to double is:Time = (100 / 14) * 2 = 14.29 years (approximately).

b. With a 14 percent interest rate compounded annually, the time it takes for a sum to double can be calculated using the compound interest formula:Time = log(2) / log(1 + (interest rate / 100))

Substituting the values, the time it takes for the sum to double is:

Time = log(2) / log(1 + (14 / 100)) = 5.00 years (approximately).

c. With a 14 percent interest rate compounded continuously, the time it takes for a sum to double can be calculated using the formula:

Time = ln(2) / (interest rate / 100)

Using the values, the time it takes for the sum to double is:

Time = ln(2) / (14 / 100) = 4.95 years (approximately).

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Answer: 5w plus 23 equals 98

Step-by-step explanation:

This answer is more reasonable because Paula already has $23 and she can save $5 per week.  She only needs 75 dollars more to get the records. So it will take her 17 weeks to get $75.

A: To determine when the lizard is back on the water, we need to find the time when the height (h) is equal to 0. So we set the equation -12t^2 + 6t = 0 and solve for t.

-12t^2 + 6t = 0

Factor out common terms:

-6t(2t - 1) = 0

Set each factor equal to 0:

-6t = 0 or 2t - 1 = 0

Solving each equation:

-6t = 0 --> t = 0

2t - 1 = 0 --> 2t = 1 --> t = 1/2

So the lizard is back on the water at t = 0 seconds and t = 1/2 seconds.

B: The height of each jump can be determined by substituting the time (t) values into the equation h = -12t^2 + 6t.

For t = 0 seconds:

h = -12(0)^2 + 6(0)

h = 0

For t = 1/2 seconds:

h = -12(1/2)^2 + 6(1/2)

h = -12(1/4) + 6/2

h = -3 + 3

h = 0

So each jump has a height of 0 feet.

C: To find the time it takes to reach the highest point, we need to find the vertex of the parabolic equation -12t^2 + 6t. The time at the vertex represents the highest point.

The formula for the x-coordinate of the vertex of a quadratic equation in the form ax^2 + bx + c is given by -b/(2a). In this case, a = -12 and b = 6.

t = -6/(2(-12))

t = -6/(-24)

t = 1/4

So it takes 1/4 seconds to reach the highest point.

Therefore, the answers are:

A: The lizard is back on the water at t = 0 seconds and t = 1/2 seconds.

B: Each jump has a height of 0 feet.

C: It takes 1/4 seconds to reach the highest point.

Here, x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.

Let's start by integrating f'(x) to get f(x). We have:

f'(x) = 16(x+2)(6-x)³ - 32(x+6)

Integrating both sides with respect to x:

f(x) = ∫[16(x+2)(6-x)³ - 32(x+6)] dx

Simplifying the integral, we get:

f(x) = -2(x+2)²(6-x)⁴ + 16(x+6) + C

where C is the constant of integration.

Next, we can find the critical points of f(x) by setting f'(x) = 0:

f'(x) = 16(x+2)(6-x)³ - 32(x+6) = 0

Solving for x, we get x = -2 and x = 6 as critical points.

Now, we can use the second derivative f''(x) to determine the concavity of the function. We have:

f''(x) = (6x-x)⁴ = x⁴

Since the second derivative is always positive for x > 0, the function is concave up on the interval (6, ∞).

Similarly, since the second derivative is always negative for x < 0, the function is concave down on the interval (-∞, -2).

At x = -2 and x = 6, the function has an inflection point.

Finally, we know that x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.

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Answer:

A

Step-by-step explanation:

5x10=50

50/2=25

25=area of triangle

10x10=100

100=area of square

100/25=4

4= triangles in square

Create a table with the place values for the first and second factors down the left and the top and bottom, respectively.

What is the box method?

Multiplication using the box method: Create a table with the place values of the first and second factors down the left and the top and bottom, respectively. Second step: multiply the place values and add the results to the table. Step 3: Add up all of the table's rows. Step 4: Add the sums of these rows.

Placing the first word in the first box and the last term in the last box is the first step in utilizing the box technique to factor a trinomial. Multiply the first and last boxes after that. Identify the first and last boxes' products, which together make up the middle word. Put these words in the remaining spaces.

Here's how you can use the box method to distribute and simplify the expression:

( -5x - 2 ) ( 5x + 4 )

⇒-5x -2

⇒5x 4

⇒-25x^2 -10x + 20x - 8

⇒-25x^2 + 10x - 8

So the simplified expression is:

-25x^2 + 10x - 8.

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Answer:

A is the answer because...

Step-by-step explanation:

Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has  the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.

Hope you understand! :)

Answer:

400

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

400

Step-by-step explanation:

I used the cake/ladder method. The screen shot below shows the cake/ladder method for this problem.

The last part not shown in the photo, is that you have to multiply the highlighted part: 2 × 2 × 5 × 4 × 1 × 5 = 400

I hope this helps!

Answer:

+3.16i, -3.16i

Step-by-step explanation:

This has complex roots.

ax² + bx + c = 0

a = 1

b = 0

c = 10

Roots:  +3.16i, -3.16i

Answer:

no outlier

Step-by-step explanation:

An outlier is basically a number that "different" or "outcast" in a group of numbers.

If we look at this data set, there are no particular outliers that are "different" or an "outcast."

Therefore, the answer is no outliers.

Answer:

Step-by-step explanation:

She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree.  To add these two fractions, both must have common denominators.

Multiply both the numerator and denominator of 2/3 by 2.  This results in 4/6.

Now you have 4/6 + 2/6 which equals 8/6.  This can be converted to 1 and 2/6, further simplified to 1 and 1/3.  Therefore, Sue collected a total of 1 and 1/3 gallons of orange juice.

All equations that represent lines perpendicular to line m include the following:

B. y = -2/3x +4

E. y + 1 = -4/6(x +5)

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

y + 2 = 3/2(x + 4)

y = 3/2(x) + 6 - 2

y = 3/2(x) + 4

slope (m) of line m = 3/2

In Mathematics and Geometry, a condition that must be true for two lines to be perpendicular include the following:

m₁ × m₂ = -1

3/2 × m₂ = -1

3m₂ = -2

Slope, m₂ of perpendicular line = -2/3

Therefore, the required equations are;

y = -2/3x +4

y + 1 = -4/6(x +5)

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Complete Question:

Line m is represented by the equation y + 2 = 3/2(x + 4). Select all equations that represent lines perpendicular to line m.

A. y = -3/2x +4

B. y = -2/3x +4

C. y = 2/3x +4

D. y = 3/2x +4

E.y+1=-4/6(x+5)

F.y+ 1 = 3/2(x + 5)

Answer:

Use the website www.bartley.com !!! I has helped me a lot and its actual teachers/tutors who answer your questions in about 30 minutes :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y= 1/2x +8

hope this helps

The type of errors and number of errors depend on the experiment, that is how it is set up and the devices that one is using for measurement.

Assuming that we are using simple lab equipments and the experiment to be performed is - dropping a ball from a fixed height and measuring the time it takes for the ball to hit the ground. Let us also consider that the distance of the ball from the ground is already known. We can think of no such complex or non-measurable errors that can occur in this  experiment if performed with utmost care.

There can be two  possible errors that can occur in this simple experiment ( excluding errors from calculations)that are as follows :

1.If using a metre rule then there can occur systematic error.

2.Random errors can occur which are actually human errors, that is the stopwatch might not be started or stopped exactly when the ball is dropped or touched the ground respectively.

If we use a light gate, digital sensors and a computer software then the above errors are eliminated or at least gets significantly reduced.

Thus the measured value for g may not be the accepted value.

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Step-by-step explanation:

1. 5+2+3=5+(2+3) 2. 9a is equivalent to 11a-2a 3. 7a + 04 - 2a is equivalent to 7a + -2a + 4 4. 8a-(8a-8) is equivalent or = to 8.

Let \(n=0\). Then \(0^3 = 0\) but 0 > 0 is a false statement.

Answer:

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

hope it is helpful to you

line k and second line h are not parallel lines because the have different slopes.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate

y₁ - y coordinate

m - slope

A line k passes through the points ​(−5​,−5​) and ​(1,37​).

Then Slope m = 37 + 5/ 1 + 5

m = 7

Now Write the equation as;

y + 5 = 7(x + 5)

y = 7x + 30

A second line h passes through the points ​(−3​,−33​) and ​(3​,9​).

Then Slope m = 9 + 3/ 3 + 33

m = 0.33

Now Write the equation as;

y + 33 = 0.33(x + 3)

Hence, line k and second line h are not parallel lines because the have different slopes.

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Answer:

about 7.8

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=8^2

2+b^2=64

B^2=62

B= about 7.8

Answer:

(-5,_3)(1.5) is the answer because when you used the chart you have to move forward to get to the other answee

Valerie needs to run \(8\frac{1}{8}\) laps.

What are mixed fractions?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

You can divide any fraction into two pieces. These are the denominator and numerator. A improper fraction is one in which the numerator is greater than the denominator. The numerator must then be multiplied by the denominator by the students. They will then receive a specific form of a fraction. That is referred to as a mixed fraction.

Given,

Number of laps valerie ran = \(3\frac{1}{4}\) laps

Number of times her coach wants her to run = \(2\frac{1}{2}\) times

Therefore,

total number of laps she needs to run = \(3\frac{1}{4} \times 2\frac{1}{2}\)

                                                               \(= \frac{13}{4} \times \frac{5}{2}\)

                                                               \(= \frac{65}{8}\) laps

                                                               \(=8\frac{1}{8}\) laps.

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To develop a table of functions for the values we have

y  = x + 4

x          y

0          4

1           5

2           6

3           7

the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)

y = 3x - 6

x          y

0          -6

1           -3

2           0

3           3

the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)

y = x + 4

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7

y = 0 + 4 = 4

y = 1 + 4 = 5

y = 3x - 6

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3

y = 3(0) - 6 = 0 - 6 = -6

y = 3(1) - 6 = 3 - 6 = -3

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Answer:

Step-by-step explanation:

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.

so it should be d

Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.

Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.

To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.

However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.

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To find $\sin(a+b)$ when given $a$ in quadrant III and $b$ in quadrant IV, we can use trigonometric identities and the sign conventions of the trigonometric functions.

We are given that $4\tan a=-3$, which means $\tan a=-\frac{3}{4}$. Since $a$ is in quadrant III, we know that $\cos a<0$ and $\sin a<0$. Therefore, we can draw a right triangle in quadrant III with opposite side $-3$, adjacent side $-4$, and hypotenuse $5$. This triangle has $\sin a=-\frac{3}{5}$ and $\cos a=-\frac{4}{5}$.

We are also given that\($\cos b=\frac{4}{5}$\), which means $\sin^2 b=1-\cos^2 \(b=\frac{9}{25}$.\) Since $b$ is in quadrant IV, we know that $\sin b>0$. Therefore, we can draw a right triangle in quadrant IV with opposite side $3$, adjacent side $4$, and hypotenuse $5$. This triangle has $\sin b=\frac{3}{5}$ and $\cos b=\frac{4}{5}$.

Using the angle addition formula for sine, we get:

\(sin⁡(�+�)=sin⁡�cos⁡�+cos⁡�sin⁡�=(−35)(45)+(−45)(35)=−2425\)

sin(a+b)=sinacosb+cosasinb=(−

\(53​ )( 54​ )+(− 54​ )( 53​ )=− 2524​\)

Therefore \(, $\sin(a+b)=-\frac{24}{25}$.\)

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Hello!

1/6 ≈ 0.167

the answer is 0.167