Sprinter #1 is running at a speed of 96 inches/second. Sprinter #2 is running at a speed of 475
feet/minute. Who will win the race? Give reason for your answer.

Answers

Answer 1

Answer:

Sprinter #1

Step-by-step explanation:

Sprinter #1 is running at 96/12 feet per second: 8 feet per second

Sprinter  #2 is running at 475/60 feet per second: approximately 7.9 feet per second

Sprinter #1 covers more distance per second.


Related Questions

After four years of higher education, Julia just graduated with a Bachelor's degree in Engineering from USC where the annual cost of tuition was $22,000. She paid for college by earning $11,000 annually through the work study program and receiving an annual scholarship. She covered the remainder of the costs by taking out $12,000 in student loans. If she didn't fund her education with savings or grant money, what was the amount of Julia's annual academic scholarship?

Answers

Answer:

$32,000

Step-by-step explanation:

overall cost for 4 years was $88,000. She made $44,000 after 4 years. After all 4 years she had to take out $12,000 to pay. 88,000-44,000=44,000 44,000-12,000=32,000

Answer:

$8,000

Step-by-step explanation:

Tuition per year: $22,000

Work Study Earnings per year: $11,000

Student Loans per year: $12,000 / 4 = $3,000

Annual Academic Scholarship per year:  $x

Per Year Calculations

$22,000 = $11,000 + $3,000 + $x

$x = $22,000 - $11,000 - $3,000

$x = $8,000

If y is inversely proportional to z^4, when y = 16 and z = 3, then 16 = k/81

true or false

Answers

Answer: 65

Step-by-step explanation:
1 + 64 = 65

Abigail poured 8 x 10 milliliters of water into a beaker to use for an experiment. How is 8 x 10 written as a whole number?

Answers

Answer:

80?

hshsshjsjsjjsjajjsjsnnsnsnnw

Step-by-step explanation:

hhddussisusuis

A right cylinder has a radius of 2 units and a height of 5 units. a right cylinder has a radius of 2 units and a height of 5 units. what is the volume of the cylinder? round to the nearest tenth.

Answers

The volume of the cylinder given the radius and the height is 562.2 cubic units

Volume of cylinder

Radius, r = 2 unitsHeight, h = 5 units

Volume of a cylinder = πr²h

= 3.14 × 2² × 5

= 3.14 × 4 × 5

= 562.2 cubic units

Therefore, the volume of the cylinder is 562.2 cubic units.

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Answer:62.8

Step-by-step explanation:

just took the test

If 9: x= x4, then x=

Answers

Answer:

x = ±6

Step-by-step explanation:

9 : x = x : 4

9/x = x/4

Cross multiply.

x² = 9 × 4

x² = 36

x = ±√36

x = ±6

the answer the answer

Answers

Answer:

the answer

Step-by-step explanation:

Answer:

K?

Step-by-step explanation:

The answer of the answer is the answer.

Hope this helped :D

Abbot Tools is designing a new toolbox. The length of the toolbox will be three times its width, w, and the length of the diagonal of the top cover will be 30 inches.

Use this information to determine the length, l, of the box. Select the correct answer from the drop-down menu.

Answers

The length and width of the toolbox given the diagonal is 45 inches and 15 inches respectively.

Triangle

Width of the triangle = wLength of the triangle = 3wDiagonal = 30 inches

Hypotenuse ² = opposite ² + adjacent ²

30² = w² + (3w²)

30² = 4w²

900 = 4w²

w² = 900/4

= 225

w = √225

w = 15

Therefore,

Width of the triangle = w

= 15 inches

Length of the triangle = 3w

= 3(15)

= 45 inches

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Rohan's salary 1200$ per month he spends 75% of it how does he spend in dollars?

Answers

Answer:900

Step-by-step explanation:

what is the midpoint of the line segment that joins -3/4 and 2 1/2

Answers

The mid point between the two points is at 13/8 .

What is a Line Segment ?

A line segment is  a line of fixed measure .

The line segment extends from (-3/4) to  [tex]\rm 2 \dfrac{1}{2}[/tex]

i.e the line extends form -3/4 to 5/2

To find the mid point , the total distance needs to be determined

So the distance between the two point is

(5/2) + (3/4) = 13/8

The mid point is at half the distance of this

so it is at 13/8 from both the points

Any point at 13/8 distance from 5/2  towards (-3/4) will be

= (5/2) - (13/8)

= 7/8

So the mid point between the two points is at 13/8 .

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What is the answer, been stuck for 20 minutes.

Answers

Answer:

y= -1/2x - 4 ?

Step-by-step explanation:

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) which is the completely factored form of his polynomial?

Answers

Completely factored form of Wen's polynomial is (6x² + 7) (x-2).

What is a polynomial?

An algebraic expression called a polynomial includes coefficients and variables. Indeterminates are another name for variables. For a polynomial expression, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but division by variable is not possible. Although a polynomial can have multiple number of terms, it can't be infinite.

Factorizing the polynomial

Complete factorization of a polynomial results in products-of-sums

Given polynomial is,

6x³ - 12x² + 7x - 14

This polynomial can be factorized as follows,

6x² (x - 2) + 7(x - 2)

Now, we can factor out the common term (x-2) form each term on either side of the plus operator. thus, we get the following factors,

(6x² + 7) (x-2)

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Answer:

Answer  is A   :)

Step-by-step explanation:

Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true?

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
Angle G is congruent to angle H is congruent to angle I
Angle G double-prime is congruent to angle H double-prime is congruent to angle I double-prime
Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime
Triangle G H I is congruent to triangle I H G

Answers

The congruency statement which is true among the answer choices is;

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

Which congruency statement is true?

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

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The average monthly temperature T(m), in degrees Celsius, in a particular city varies according to the model T of m equals 4 times sine of the quantity pi over 6 times m end quantity plus 2 comma where m represents the months of the year and January begins at m = 0. Between what months will the temperature be below 0°C?

Answers

The months with temperature below 0° is August and October.

GIven,

T(m) = 4 sin (π/6 m)₊2

In the above equation, T(m) is the average temperature in a month in degrees Fahrenheit, and m is the month of the year.

T(8) = 4 sin (8π/6 m)₊2

       = 4 sin (4π/3 )₊2

       = 4 sin (π₊π/3 )₊2

       = ₋4 sin π/3 ₊2

       = ₋4×√3/2 ₊2

       = ₋2√3 ₊ 2 <0

The function for the average monthly temperature, in m months from january is given by

T(0) = 4 sin(10π/6) ₊ 2

       = 4 sin(5π/3) ₊ 2

       = 4 sin(2π ₋ π/3) ₊ 2

       = - 4sin π/3 ₊ 2 = ₋4 × √3/2 ₊ 2

        = ₋2√3 ₊2<0

we can notice that after january, from august till october the months will face temperature below 0 degrees.

So the answer is August and October.

Your question is incomplete. Please find the missing content here.

The average monthly temperature T(m), in degrees Celsius, in a particular city varies according to the model T of m equals 4 times sine of the quantity pi over 6 times m end quantity plus 2 comma where m represents the months of the year and January begins at m = 0. Between what months will the temperature be below 0°C?

July and NovemberJuly and OctoberAugust and NovemberAugust and October

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What does it mean for an event to be​ unusual? why should the cutoff for identifying unusual events not always be​ 0. 05?.

Answers

An unusual event is an occurrence that has a low probability of happening. The cutoff for identifying unusual events not always be​ 0.05, because it is not always a good idea to utilize the same cutoff to spot unexpected occurrences.

What is an unusual event?

An unusual event is an occurrence that has a low probability of happening.

If an event is improbable, its likelihood is zero. If an occurrence is unavoidable, its probability is one.

The probability of an event happening increases as it gets closer to 1. An occurrence that has a probability of 0.375, for instance, is more likely to happen than one with a probability of 0.125.

The less likely an event is to occur, the closer the probability is to 0. An unusual event is what this kind of event falls under. A probability of 5%, or 0.05, is typically regarded as unusual event.

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( this is my summer math homework, please help!)
Find the selling price of each item.

1. Original price of a bunny: $46.00

Text: 2%

2. Original price of a CD: $14.99

Tax: 2%

3. Original price of a CD: $16.50

Tax: 4%

4. Original price of a car: $19,500.00

Tax: 4%

Answers

Using proportions, the selling prices are given as follows:

1. $46.92.

2. $15.29.

3. $17.16.

4. $20,280.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

To find the selling prices, we have to multiply the original prices by either 1.02(2% sales tax) or 1.04(4% sales tax), hence they are given as follows:

1. 46 x 1.02 = $46.92.2. 14.99 x 1.02 = $15.29.3. 16.50 x 1.04 = $17.16.4. 19500 x 1.04 = $20,280.

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? Question
What are coordinates of the point representing the location of the other end of the string of buoys?
Type the correct answer in each box. Use numerals instead of words.

Answers

See below for the explanation on how to determine the coordinates.

How to determine the coordinates?

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine coordinates.

Assume that the start point of the buoy is

(x, y)

And the length of the buoy is k.

Depending on the position of the bouy on the coordinate plane, the endpoint can be any of the following coordinates (x - h, y), (x + h, y), (x, y + h) and (x, y - h)

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WHICE group of domain-specific words belongs only to math domain

Answers

Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Nathan received $1,500 dollars for his birthday. He saves 3/5 of his money. 6/20 of his money was used to buy a new game. How much money does he have left?

Answers

Answer:

$150

Step-by-step explanation:

→ Find 3/5 of 1500

( 1500 ÷ 5 ) × 3 = 900

→ Find 6/20 of 1500

( 1500 ÷ 20 ) × 6 = 450

→ Find the sum of the 2 numbers

900 + 450 = 1350

→ Minus it from the original 1500

1500 - 1350 = $150

The jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were arranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them thought 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box

Answers

The number of sugar cubes in the box is 180

How to determine the number of sugar cubes?

The given parameters are:

Layers = 5Pieces = 2 or 3Cups of tea = 61 and 88

Multiply 61 and 88 by 2 and 3

61 * 2 = 122

61 * 3 = 183

88 * 2 = 176

88 * 3 = 264

The number of sugar cubes cannot be 122 and 264, because they are out of the range

So, we have:

183 and 176

There are 5 layers.

This means that the number of sugar cubes is divisible by 5.

The only number between 176 and 183 that is divisible by 5 is 180

Hence, the number of sugar cubes is 180

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Knowing that sin 30° = 1, what is a?
OA. 3.5
OB. 14
OC. 12.12
OD. 7
30⁰
7
a
60⁰

Answers

Answer:

B

Step-by-step explanation:

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{a}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

a = 7 × 2 = 14

what is the value of 2/3 + 1/2 of (1/2 - 1/6) / 2/3 + 1/4​

Answers

Answer:

In fraction form: 77/24


In decimal form: 3.20833


Step-by-step explanation:

That took me a while to solve but that’s the correct answer.


Hope that helps! :)

The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F

Answers

The point that is a solution to the system of inequalities on the coordinates grid is A.

How to illustrate the information?

It should be noted that form the information given, the expression is y < −2x + 10. In this case, draw the solid line y = -2x + 10.

Shade the region below the like for x = 5.

y = -2(5) + 10

= -10 + 10

= 0

For x= 0

y = -2(0) + 10

= 0 + 10

= (0, 10)

The diagram is attached.

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Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3). a y = 2 x minus 4 b y = 2 x minus 3 c y = 2 x + 3 d y = 2 x + 4

Answers

The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4)  *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

y=2x-4y=2x-3y=2x+3y=2x+4

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

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Answer:

a

Step-by-step explanation:

Samarium-146 has a half-life of 103.5 million years. after 1.035 billion years, how much samarium-146 will remain from a 205-g sample?

Answers

Answer: 0.200 g

Given: Half life of Sm-146 = t1/2 = 103.5 million years

Time period, t = 1.035 billion years = 1035 million years

The original mass of the sample, [A]₀ = 205 g

To determine:

Amount of sample after t = 1035 million years

Explanation:

The rate of radioactive decay is given as:

Answer:

A: 0.200 g.

Step-by-step explanation:

Find x
Help me please thank u

Answers

Step-by-step explanation:

ATTACHED IS THE SOLUTION!!!

Identify the term that means the difference of the minimum and maximum values of a data set and the term that means the difference of the first quartile and third quartile of a data set.

Answers

Answer:

Range:  Difference of minimum and maximum values of a data set

Interquartile Range:  Difference of first quartile and third quartile of a data set

Step-by-step explanation:

Answer: what he said

Step-by-step explanation:

Pedro Fernández es gerente de Avon Chic, Pedro estaba interesado en las tasas de rendimiento de los últimos cinco años de dos diferentes fondos mutuos. Trujix, Inc., mostro un periodo de cinco años, tasas de rendimiento del 12; 10; 3; 9 y 11%, mientras que Fondo Corporation arrojo 13; 12:14:10 y 6%. Un cliente se acercó a Pedro y expreso su interés uno de estos fondos mutuos. ¿cuál debería escoger Pedro para su cliente?

Answers

Pedro Fernández should advice his client to go with the second mutual fund named as Fund Corporation. This is because, it showed an higher average return over the five-year period at an average of 11% beating Trujix Inc by 3%.

What is the calculation that supports the above?

To get the better fund, Pedro must calculate a simple average of the interest rates of the various funds over the past 5 year period.

Trujix Inc 5-Year Average

(12 + 10+ 3 +9 + 11)/5

= 45/5

=9%

Fund Corporation 5-Year Average

(13 + 12 +14 + 10+ 6)/5

= 55/5

= 11%

Hence, the better investment is the one by Fund corporation.

Full Question

Pedro Fernández is a manager at Avon Chic, Pedro was interested in the rates of return for the last five years of two different mutual funds. Trujix, Inc., showed a five-year period, rates of return of 12; 10; 3; 9 and 11%, while Fund Corporation showed 13; 12:14:10 and 6%. A client approached Pedro and expressed his interest in one of these mutual funds. Which one should Pedro choose for his client?

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A correlation coefficient of 0.08 indicates strong positive correlation. Group startsTrue or False

Answers

Since the correlation coefficient has an absolute value that is less than 0.6, it is not a strong relationship, hence the statement is False.

What is a correlation coefficient?

It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

In this problem, the correlation coefficient is of 0.08, hence:

The coefficient is positive, hence the is a positive correlation.The coefficient is of 0.08, which is less than 0.6, hence the correlation is not strong.

Thus, the given statement is False.

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Box of 24 chocolate contains 6 cream-filled. What is the probability of randomly selecting a cream filled
Chocolate

Answers

The probability of randomly selecting a cream filled

Chocolate is 1/4

Probability is the likelihood of an event will occur Probability of an event is find out by divide the number of favorable outcomes by the total number of possible outcomes. The simplest example is flipping of a coin. There are only two possible outcomes when you flip a coin. It wiil be either heads or tails.Total probability is always lie between 0 and 1

Let E be the event of selecting cream filled chocolate.

Number of favourable outcome = 6

Total number of possible outcome = 24

Probability if selecting a cream filled chocolate = 6/24

= 1 / 4

Hence, the probability of randomly selecting a cream filled chocolate is 1/4

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Functions and Transformations

Answers

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

What is a Function ?

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

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Suppose that shifting into third gear decreased the engine speed (rpm) while increasing the tractor speed (mph). What would be the effect of this change?a). both area rate and flow rate would increaseb). area rate would increase and flow rate decreasec). arear rate would decrease and flow rate increase d). both area rate and flow rate would increase Of all of the Impressionists, Pierre-Auguste Renoir was the ____, as evidenced in his Le Moulin de la Galette. Which weather-related phenomenon resulted in the most fatalities during the 30-year interval between 1977 and 2006 IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual.Find the probability that the person has an IQ score between 92 and 108. 15 people were asked to measure their pulse rates after completing a 3 km run. The sample data are given below and are assumed to be normally distributed. Use a TI-83, TI-83 plus, or TI-84 calculator to construct a 98% confidence interval for the mean of the population. Round your answers to two decimal places and use increasing order. that explains how Alexander Hamilton, Thomas Jefferson, and James Madison tried to solve the problems facing America between 1789 and 1816. Discuss the ways in which their efforts led to the formation of different political parties . Please solve each of the following by factoring! 1. (y + x) = 4; use x = 2 and y = 2 2. x + y 6; use x = 5 and y = 6 3. y(x + 5); use x = 1 and y = 4 4. q-m+q; use m = 3 and q = 6 if a company wants to compete on flexibility, what do they need to do? (Edge.)Which number line shows the graph of Negative 2.75 less-than x?A. A number line going from negative 3 to positive 3. An open circle is at negative 2.75. Everything to the left of the circle is shaded.B. A number line going from negative 3 to positive 3. An open circle is at negative 2.75. Everything to the right of the circle is shaded. C. A number line going from negative 3 to positive 3. A closed circle is at negative 2.75. Everything to the left of the circle is shaded. D. A number line going from negative 3 to positive 3. A closed circle is at negative 2.75. Everything to the right of the circle is shaded. Which of the following functions shows the quadratic parent function, F(x)= x2, vertically compressed?A. G(x) = (2.5x)B. G(x) = xC. G(x) = (14x)D. G(x) = 5x The equation 5x2 30x 15 = 0 is being rewritten in vertex form. fill in the missing step. given 5x2 30x 15 = 0 step 1 step 2 5(x2 6x 9) 15 45 = 0 step 3 5(x 3)2 30 = 0 5(x2 30x ___) 15 ___ = 0 5(x2 30x ___) 15 ___ = 0 5(x2 6x ___) 15 ___ = 0 5(x2 6x ___) 15 ___ = 0 If the width of the dining room table is w feet, and the length is 3w - 2 feet, write analgebraic expression that represents the perimeter of the table. i need help plss helpp What is the main difference between health-related fitnessand performance-related fitness? Identity the x-intercept of the liner equation 3x + y -9=0 What is the leastcommon multiple of 12 and 16? Complete the sentences with words that are punctuated and spelled correctly.Natasha was especially interested in dinosaurs; however, Jorge wanted to check out the huge collection of precious gems.Natasha gazed into a replica of a cooking fire and began to imagine sounds: a crying baby, the persistent click of stone on stone involved in making scraping tools, and the thunderous cry of a mastodon. Prompt 1: Take the position of the colonist and explain how you might feel in this situation and why?Prompt 2: Now take the position of the Native Americans and explain how you might feel in this situation and why?Prompt 3: Finally, be objective and write how you think the Native Americans and settlers could have both existed peacefully together HELP ME PLEASEEE 20 POINTSSS!!!!Fighter pilots the maximum height, h, of a fighter pilot is 77 inches. Write this as an inequality.h 70h 77h 77h 70