Which phrase describes a nonlinear relationship?
a. The distance traveled by a car moving at constant speed in relation to time
b. The perimeter of a square in relation to the side length.
c. The cost of gasoline in relation to of the number of gallons purchased
d. The area of a circle in relation to the radius.

Answer:

1/1024 or .0009765625

Step-by-step explanation:

1/4 to the third power is 1/64

1/4 to the second power is 1/16

Then multiply 1/64 and 1/16 and get 1/1024 or .0009765625

Hope this helps dude

Answer:

9.765625x^-4

Step-by-step explanation:

1. Convert 1/4 into a decimal Ans:0.25

2. Times 0.25 by the third power (0.25^3) Ans: 1/64 or 0.015625

3. Convert 1/4 into a decimal Ans: 0.25

4. Times 0.25 by the second power (0.25^2) Ans: 1/16 or 0.0625

5. Finally multiply the two decimals (0.015625x0.0625) Ans: 1/1024 or 9.765625x10^-4

Answer:

A cylinder,

91.9 ft^3 to nearest tenth.

Step-by-step explanation:

That would be a cylinder,

Volume of the given tree trunk

= π r^2 h

= π  * 1.5^2 * 13

= 91.89 ft^3.

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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The diagonal and two adjacent sides of the square form an isosceles right triangle.

By the Pythagorean theorem

The difference in the medians is 1/3 times the IQR.

Mathematically, interquartile range (IQR) of a data set and it is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):

Interquartile range (IQR) for Speed Slide = Q₃ - Q₁

Interquartile range (IQR) for Speed Slide = 12 - 6

Interquartile range (IQR) for Speed Slide = 6.

For the interquartile range (IQR) for Wave Machine, we have:

Interquartile range (IQR) for Wave Machine = 14 - 8

Interquartile range (IQR) for Wave Machine = 6.

For the required expression, we have the following:

2 = 6x

x = 2/6

x = 1/3.

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Answer:

The difference in the medians is 1/3 times the IQR.

Step-by-step explanation:

hope this helps!

Answer:

68.054

Step-by-step explanation:

I don't really have an explanation for this, it just is.

Sixty-eight (68) and fifty-four thousandths (.054, because the thousandths place is the third digit after the decimal point).

Answer:

Italy won the golf competition.

Step-by-step explanation:

Italy: -3 + 4 + 5 + -5 + 3 + -5 + 6 + -3 + -3

Total:  -1

Russia:-4 + 5 + -6 + 4 + 4 + 6 + -3 + -3 + -5

Total:  -2

Answer:

13.83

Step-by-step explanation:

\(hf = \sqrt{({6 - 6 })^{2} +( {2 - 5)}^{2} }\)

\( = \sqrt{0 + {( - 3)}^{2} } \)

\( = \sqrt{0 + 9} = \sqrt{9} = 3\)

\(gf = \sqrt{ {(6 - 1)}^{2} + {(2 - 2)}^{2} } \)

\( = \sqrt{ {5}^{2} + {0}^{2} } \)

\( = \sqrt{ {5}^{2} } = 5\)

\(gh = \sqrt{ {(6 - 1)}^{2} + {(5 - 2)}^{2} } \)

\( = \sqrt{ {5}^{2} + {3}^{2} } \)

\( \sqrt{25 + 9} \)

\( = \sqrt{34} = 5.83\)

perimeter = 3+5+5.83 = 13.83

Answer:

y = -4x + 5

Step-by-step explanation:

lmk if you want an explanation

Answer:

It is not well defined.

Step-by-step explanation:

Because set is a collection of well defined objet. And matter contains of solid, liquid and gas

The minutes that have passed, m, when Tank A contains the following amounts of water will be:

151 liters = 3 minutes

191.5 liters = 7.5 minutes

270.25 liters = 16.25 minutes

p liters = (p-124) / 9 min

It should be noted that for 151 lit = (151 - 124)/9 = 3 min

Also, for 191.5 lit = (191.5-124) /9

= 67.5/9 = 7.5 min = 7 min 30 sec

It should be noted that for 270.25 lit = (270.25 - 124)/9 = 146.25/9 = 16.25 = 16 min 15 sec

For p lit = (p-124) / 9 min

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Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.

How many minutes have passed, m, when Tank A contains the following amounts of water?

151 liters

191.5 liters

270.25 liters

p liters

Follow • 1

The resultant of the expression (((-3/5)+(5/3))-(2-4/3)) will be 2/5.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be evaluated to produce a value. Expressions can be as simple as a single number or variable, or they can be more complex, involving multiple numbers, variables, and operations.

For example, 3 + 5 is an expression that represents the sum of two numbers, which evaluates to 8. Another example is 2x - 5, which involves a variable (x) and two operations (multiplication and subtraction).

Now,

Let's start by simplifying (-3/5 + 5/3):

First, we need to find a common denominator between 5 and 3, which is 15

then,

-3/5 + 5/3 = -9/15 + 25/15

Next, we can add the two fractions:

-9/15 + 25/15 = 16/15

So, (-3/5 + 5/3) simplifies to 16/15.

Now, let's simplify (2 - 4/3):

We can rewrite 2 as 6/3, then subtract 4/3:

6/3 - 4/3 = 2/3

So, (2 - 4/3) simplifies to 2/3.

Finally, we can subtract 2/3 from 16/15:

16/15 - 2/3

To subtract fractions, we need a common denominator between 15 and 3, which is 15. then

16/15 - 10/15 = 6/15

So, the resulting constant is 6/15, which can be simplified by dividing both the numerator and denominator by their greatest common factor (which is 3):

6/15 = 2/5

Therefore,

                the resulting constant is 2/5.

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\(r = \frac{u_{4}}{u_{3}} = \frac{ - 56}{28} = - 2\)

\(u_{n} = u_{1} \times r {}^{n - 1} \\ ie \colon \: u_{4} = u_{1} \times r {}^{4 - 1} \\ \: \: \: - 56 = u_{1} \times ( - 2) {}^{3} \\ u_{1} = \frac{ - 56}{ - 8} = 7\)

\(S_{n} = ( \frac{1 - r {}^{n} }{1 - r} ) \: (u_{1}) \\ S_{6}=( \frac{1 - ( - 2) {}^{6} }{1 - ( - 2)} ) \: (7) \\ S_{6}= - 147\)

a. The common ratio is -2.

b. The first term is 7

c. The sum of the GP is -147

(a) To find the common ratio (r), we can use the formula for the nth term of a geometric progression (G.P):

\(A_n = A_1 * r^(^n^-^1^)\),

where Aₙ is the nth term, A₁ is the first term, r is the common ratio, and n is the term number.

Given that the 3rd term (A₃) is 28 and the 4th term (A₄) is -56, we can set up two equations using the formula above:

\(28 = A_1 * r^(^3^-^1^)\),     (Equation 1)

\(-56 = A_1 * r^(^4^-^1^)\).     (Equation 2)

Dividing Equation 2 by Equation 1, we get:

\(-56/28 = (A_1 * r^(^4^-^1^)^) / (A_1 * r^(^3^-^1^))\\-2 = r.\)

Therefore, the common ratio (r) is -2.

(b) To find the first term (A1), we can substitute the known values into one of the equations. Let's use Equation 1:

\(28 = A_1 * (-2)^(^3^-^1^)\\28 = A_1 * (-2)^2\\28 = A_1 * 4\\A_1 = 7\)

Therefore, the first term (A₁) is 7.

(c) To find the sum of the geometric progression, we can use the formula for the sum of the first n terms of a geometric progression:

\(S_n = (A_1 * (1 - r^n)) / (1 - r)\),

where Sₙ is the sum of the first n terms.

Given that there are 6 terms (n = 6), A₁ = 7, and r = -2, we can calculate the sum (S₆):

\(S_6 = (7 * (1 - (-2)^6)) / (1 - (-2)).\)

Simplifying:

S₆= (7 * (1 - 64)) / (1 + 2),

S₆ = (7 * (-63)) / 3,

S₆ = -147.

Therefore, the sum of the geometric progression is -147.

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Responda:

camarote Amarelo

Explicação passo a passo:

Dado que:

Número total de pessoas = 150.000

Caixa rosa: 1/4 * 150.000 = 37.500

Caixa Lilax: 1/5 * 150.000 = 30.000

Caixa amarela: 2/5 * 150.000 = 60.000

Faixa = 0,15 * 150.000 = 22.500

Portanto, a caixa amarela tem mais gente

Answer:

For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

The slope-intercept form of the linear equation is y = m x + b, where

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

∵ y - 8x = 8x - 8x + 20

∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

According to the statement

we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.

So, For his purpose, we know that the

A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.

And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.

By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.

So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

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Answer:

3 mile

Step-by-step explanation:

total miles= Monday+Tuesday+x

20=14+3+x

20=17+x

-17  -17

__________

3=x

Scott needs to run 3 more miles

Hope this helps!

Given:

solving for a:

ANSWER

a = (y - g)/x

The n building exemplifies interactive design because it integrates into its façade interactive digital displays.

The n building showcases interactive design by seamlessly incorporating interactive digital displays into its façade. These displays allow for dynamic content, such as visuals, videos, and interactive elements, to be presented on the building's exterior.

By engaging with passersby and creating an interactive experience, the n building transforms a static architectural structure into a vibrant and participatory environment.

This integration of interactive digital displays into the building's façade not only enhances its visual appeal but also fosters a sense of connection and engagement with the surrounding community, blurring the boundaries between the physical and digital realms.

The n building exemplifies interactive design because it integrates into its façade elements that engage and interact with the users. This can include features such as interactive screens, touch-sensitive panels, or interactive lighting displays. These elements encourage user participation and create an immersive and engaging experience for those interacting with the building.

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9514 1404 393

Answer:

  9.23%

Step-by-step explanation:

The account balance for simple interest is given by ...

  A = P(1 +rt) . . . . . principal P invested for t years at rate r

  554 = 379(1 +r·5)

  554 = 379 + 1895r . . . . eliminate parentheses

  175 = 1895r . . . . . . . . . subtract 379

  r = 175/1895 ≈ 0.092348 ≈ 9.23%

Jennifer's account had an interest rate of about 9.23%.

Answer:

The Transamerica Pyramid in San Francisco is approximately 7 times as tall as The Willis Tower in Chicago.

Step-by-step explanation:

10236 ÷ 1451 = 7.054

We need to know about mixed fractions to solve the problem. The simplified answer is -119/12.

Mixed fractions is a fraction that is represented by it's quotient and remainder. Mixed fractions are solved by multiplying the denominator with the number in front and then adding the numerator to it, to get the numerator of the simple fraction, the denominator of the simple fraction remains same. In the given question we need to simplify the mixed fractions and then solve it.

\(-3\frac{1}{4} -6\frac{2}{3}\) = -13/4-20/3=-39-80/12=-119/12

Therefore the simplified answer is -119/12, option (a) is the correct answer.

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Answer:

119 over 12

Step-by-step explanation:

Answer:

i think 60 miles

Step-by-step explanation:

I just added the 100+40 then

200-140

Answer:

  1 3/7 hours

Step-by-step explanation:

The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...

  time = distance/speed

  time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h

The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.

Answer:

12250

Step-by-step explanation:

Answer:

x = 62

Step-by-step explanation:

the angle between a tangent and the radius at the point of contact = 90°

then Δ PTO is right

the sum of the 3 angles in the triangle = 180° , so

x = 180 - 90 - 28 = 180 - 118 = 62

Answer:

Step-by-step explanation:

TP is a tangent to the circle at centre O

means

TP is perpendicular to TO

Then

m∠OTP = 90°

Then

OTP is a right triangle

Then

x = 90 - 28

  = 62

Answer:

2

Step-by-step explanation:

Rise is 10 run is 5 Rate of Change is rise over run.

There were 53666.4 deaths in 1960. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

Mathematicians claim that the four fundamental operations, also referred to as "arithmetic operations," can characterise all real numbers. The four mathematical operations of division, multiplication, addition, and subtraction produce the terms quotient, product, sum, and difference, respectively.

We are given that the world death rate in 1960 was 17. 7 deaths per 1000 people.

There were 3.032 billion people in the world in 1960 which means that there were 3032 thousand people.

So, the total deaths in 1960 were

⇒3032 * 17.7

⇒53666.4

Hence, there were 53666.4 deaths in 1960.

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Answer:

Solution given:

note=diameter=2*radius

1:

Area of circle =πr²=22/7*(21/2)²=346.5cm²

2:

radius (r)= 3 ½=7/2cm

Area of circle =πr²=22/7*(7/2)²=38.5cm²

3;

radius (r)=14/2=7cm

Area of circle =πr²=22/7*(7)²=154cm²

note:

π=3.14 or 22/7

its 5

Step-by-step explanation:

pythagoreans theorem or however you spell ts is what you do