Running the last lap of a 4 x 100-meter relay, Bob takes the baton for his team and pursues his opponent already 20 meters ahead of him. If Bob runs at an average speed of 8 meters per second and his opponent only runs 6 meters per second, will Bob overtake him and win the race? If he does not catch him, how close does he get before the opponent crosses the finish line? If he does catch him, how many seconds and how many meters will it take?

Answers

Answer 1

Answer:

v1 t = distance Bob travels  

v2 t + 20 = distance opponent travels

v1 t  = v2 t + 20

t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec

In 10 sec Bob runs 80 m

In 10 sec opponent runs 20 + 60 m = 80 m


Related Questions

What is 8 minus a number
8-n
8/n
8n
N/8
Which one

Answers

5848383282829292929229

20 POINTS!!!!!!!The monthly salary of an employee with 33 hours of training can be written as

Answers

Answer:

D-Salary(33) or S(33)

D is correct hope this helps

Is (1,2) (1,3) (1,4) a function?

Answers

Answer:

yes

Step-by-step explanation:

No, because the domain starts in 1 for all of the numbers.

This right triangular prism has a base with an area of 15 square feet. The height of the prism is 7 feet. What is V, the volume of the triangular prism?

Answers

Answer:

[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]

Answer:

105

Step-by-step explanation:

its right trust me

but make sure this is the question that you are doing

Select all the equations where r 3 is a solution.​

Answers

Answer:

The right answers are 1,4 and 6

Answer:

x-3 =0

6=2x

x^2 = 9

Step-by-step explanation:

substitute the values, and you will get the answer!

have a great day!!

Suppose y varies directly with x. Write an equation relating x and y.
y = -22.5 when x = 15
a.
b.
y = -0.75x
2
y=-3
c. y=-1.5x
d. y = 1.5x

Answers

It’s 10 by 2 but the integers should be 12 and the ans should be 11.

Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order.

What is the probability that either the words BAD or CAB will appear as part of the row?

Answers

Answer:

P = 1/6

Step-by-step explanation:

We have 4 places where we can put the cards.

Let's count the number of possible outcomes for each place.

In the first place, we can put one of 4 cards.

in the second place, we can put one of 3 cards (because there is already one card in the first place)

In the third place, we can put one of 2 cards

In the last place, we can put one of one cards.

The total number of different combinations is the product between the number of options for each place, then we have:

C = 4*3*2*1 = 24

Now we need to count the number of combinations such that the words BAD or CAB appear.

Those are:

BADC

CBAD

CABD

DCAB

4 outcomes out of 24.

Then the probability will be equal to the quotient between the number of outcomes where one of these words appears (4) and the total number of possible outcomes (24)

The probability is:

P = 4/24 = 1/6

The probability would be 16.7%

A tour helicopter travels at a constant rate of 80 mph. If the tour takes 2 hours, how far does the helicopter travel?
A. 40 mi.
B. 80 mi.
C. 120 mi.
D. 160 mi.

Answers

Answer:

D

Step-by-step explanation:

80 miles per hour, each hour it will travel 80 miles so for two hours tou do

80 x 2 = 160

Answer:

D

Step-by-step explanation:

80x2=40

it's just simple multiplecation but then again I cant spell multiplication so I mean

the sum of 4 and 6 times a number z

Answers

Answer:

(4 + 6) × Z = 10 × Z

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

The difference between two numbers is 3. What is the larger number if the smaller number is -4? *

Answers

Answer:-1

Step-by-step explanation:

Subtract plus 3

Answer:

-1

Step-by-step explanation:

x-y=3

x—Larger number

y—smaller number

x-(-4)=3

x+4=3

x=–1

What is the sum?

46 mins left please help!!!!!

Answers

The sum is 6/x^2 so the answer is A

Please help me!! I don’t understand!!!

Answers

Answer:

Ask your John Brown teacher!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

What is sec 0 when cot 0 = -4/2?

Answers

Answer:

[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]

Step-by-step explanation:

[tex]Cot0=-4\sqrt{2}[/tex]

[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]

[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]

[tex]=\frac{4\sqrt{66} }{32}[/tex]

[tex]=\frac{\sqrt{66} }{8}[/tex]

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

hope it helps...

have a great day!!

Dr. Victory is a psychologist studying the effects of high-level classes, bullying, and music classes on the anxiety levels of middle school students. He has previously determined that the effects from class levels, bullying experiences, and music classes are independent. It has been determined that the probability that a student is taking a high-level English class is 0.23, the probability that a student has been bullied is 0.36, and 1/3 of students are in music classes.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

Answers

Answer:

a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Step-by-step explanation:

Probabilities of independent events happening together:

The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.

In this question:

0.23 probability that a student is taking a high-level English class.

0.36 probability that a student has been bullied.

1/3 = 0.3333 probability that a student is in music class.

(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?

0.23*0.36 = 0.0828

0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

(b) What is the probability that a randomly selected student is in a music class and has been bullied?

0.36*1/3 = 0.12

0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

0.23*0.36*1/3 = 0.23*0.12 = 0.0276

0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Find the volume.
Pls help!

Answers

Answer:

72 in^3

Step-by-step explanation:

Volume: lwh

V = 6 · 3 · 4

V = 18 · 4

V = 72 in^3

plz help i give 50 points

Answers

Answer:

area of trapezium = 20 in^2

Step-by-step explanation:

here's your solution

==> area of trapezium = 1/2*(sum of parrel side)*distance between them

==> length of parrel sides = 6 in and 2 in

==> height = 5 in.

==> area of trapezium = 1/2(6 + 2) * 5

==> area of trapezium = 20 in^2

hope it helps

Step-by-step explanation:

sorry for this

"i try so can you rate"

prove that the points A(1 , -1 ) B(5, 2) C(9, 5) are collinear.​

Answers

Answer:

AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]

BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]

AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]

So, AC = AB + BC

A, B, C are collinear points

Step-by-step explanation:

I hope this helps!

If p and q vary inversely and p is 8 when q is 8, determine q when p is equal to 16.

Answers

Answer:

25

Step-by-step explanation:

i smarte

During the summer, Dwayne Works on his uncles dairy farm. One of Dwaynes Many chores is to load bales of hay onto a wagon and haul them from the field into the barn.

There is a proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y.



What is the constant of proportionality? Write your answer as a whole number or decimal.

Answers

The constant of proportionality of the proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y, is given as follows:

4.

How to define a proportional relationship?

The standard definition of a proportional relationship is given as follows:

y = kx.

Hence the solution for the constant is given as follows:

k = y/x.

As the table represents a proportional relationship, the constant can be calculated from any pair, hence:

k = 20/5 = 4.

More can be learned about a proportional relationship at https://brainly.com/question/10424180

#SPJ1

A round stained-glass window has a diameter of 12 inches. What is the circumference to the nearest inch? No links.

Answers

Answer:

37.68 inches OR about 38 inches

Step-by-step explanation:

To find the circumference from the diameter, you need to multiply the diameter by pie (3.14)

How do you solve this

Answers

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

The measure of the inscribed angle is half the measure of the intercepted arc.

  9x -25 = 94/2

  9x = 72 . . . . . . . add 25

  x = 8 . . . . . . . . . divide by 9

Need help fast please,

Answers

Answer:

with?

Step-by-step explanation:

Answer:

I can help you really fast, if you give me something to work on

Step-by-step explanation:

also, my life is blank like this question

HELP!
Which expression is equivalent to -6(-2/3+2x) ?

Answers

Answer:

-6(-2/3+2x)

=12/3+12x

=4+12x

4(1+3x)

1÷-½ aswer please!!​

Answers

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

[tex]1 \div - \frac{1}{2} \\ 1 \times - \frac{2}{1} \\( - 2)[/tex]

Hope this helps you.

have a nice day!

the answer to this is -2

If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot

Answers

Answer:

29.7 ft tall

Step-by-step explanation:

29.75ft. tall is the building.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Here, we have,

from the figure , we get,

Hypotenuse = 37 ft.

Base= 22 ft.

Let, the building = height = x ft.

Now , by Pythagorean theorem, we have,

x=√37²-22²

 =√885

 =29.75

Hence, 29.75ft. tall is the building.

To learn more on Pythagorean theorem click:

brainly.com/question/24302120

#SPJ2

which expresssion has a value of 1​

Answers

there is no picture. so we dont know

SHOW WORK FOR BRAINLIST
A $55 sweater is on sale for 20% off. Today only, you can take an additional 10% off the sale price. How much does the sweater cost today?

Answers

Answer:$39.60

Step-by-step explanation:

$55 x 0.80= $44

$44 x 0.90=$39.60

Or

$55x 0.20=$11

55-11=44

$44x 0.10=4.40

$44 - $4.40=$39.60

Victor drew trapezoid PQRS on a
coordinate plane. The coordinates of each
vertex are:
P(8,4) Q(10, 4) R(13, -1) S(8, -1)
tion
What is the length, in units, of side PS?
A. 2
B. 3
C. 4
D. 5

Answers

Answer:

Step-by-step explanation:

b

Answer:

b hope it helps make brainlliest ty

Step-by-step explanation:

can you make me brainlliest

Someone please help me. I will mark brainliest. I really need help ASAP.

Answers

Answer: 38.8

Step-by-step explanation:

use formula C = π * D

Diameter = 6

C = π * 6

C = 18.8495559215 = 18.8

18.8 + 10 + 10 = 38.8

If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?

Answers

Answer:

20 days

Step-by-step explanation:

0.25 pound of food is eaten in 1 day

1 pound of food is eaten in 1 / 0.25

5 pound of food is eaten in 5/0.25 = 20 days

Other Questions
What is not the ideal location for a radioactive waste storage facility? A. in an area that already has a lot of background radiation B. in an area that has few earthquakes C. far away from ground water D. in an area that is unpopulated with people PLZ HELP ASAP (BRAINLIEST)The orbital radii of four planets in our solar system is shown in the following table.Orbital RadiiPlanet Orbital Radii (AU)W 5.2X 0.72Y 0.37Z 19.1Which planets are likely to be inner planets? W and X X and Y Y and Z X and Z You are auditing a bank, and someone provides you with an anonymous tip that an employee is embezzling money from the bank. You decide to investigate the allegation Your interviews with other bank employees confirm that the suspected embezzler has been acting very strange lately. Some employees have seen the employee crying in the bathroom and acting strange in other ways. The bank recently downsized due to poor economic growth, yet the suspect recently bought a new Lexus. Based on some "helpful" hints from bank employees and through your own investigation, you discover that the mortgage taken out by the suspect three years ago for his personal home has recently been paid in full After calculating the suspect's net worth, you deter- mine that he has about $249,000 in income from unknown sources this year alone.Required:a. What are possible explanations for why the suspect (1) is experiencing emotional changes and (2) has had an increase in unknown income?b. Can you conclude from these facts that the suspect has indeed been committing fraud? Sycamore Company, which expects to start operations on January 1, 2014, will sell digital cameras in shopping malls. Sycamore has budgeted sales as indicated in the following table. The company expects a 11 percent increase in sales per month for February and March. The ratio of cash sales to sales on account will remain stable from January through March.Required:a. Complete the sales budget by filling in the missing amounts.Sales January February MarchCash sales $47,000 Sales on account 103,000 Total budgeted sale $150,000 b. Determine the amount of sales revenue Sycamore will report on its first quarter pro forma income statement. Some students reported how many pets they had. The dot plot shows the data collected: A dot plot is titled Students Pets and labeled Number of Pets. The values on the horizontal line are 0, 1, 2, 3, and 4. There are 5 dots above 0, 4 dots above 1, 3 dots above 2, 2 dot above 3, and 1 dot above 4. What do the dots above the number 3 indicate? There are exactly 2 students with 3 pets. There are exactly 3 students with 2 pets. There are exactly 2 students with more than 3 pets. There are exactly 3 students with more than 2 pets. SOLVEHOW MUCHCOMISSIONWILL AN AGGENTMAKE ON THE SALE OF A $111,500 HOUSE IF SHE RECEIVES 1.5% OF THE SELLING PRICEWILLGIVEBRIANLIST Josh is driving from his house to his grandmother's house. If 1/3 gallon of gasoline will get Josh 1/9 of the way to his grandmother's, how many gallons of gasoline does Josh need for the entire trip? Urgent help If you know,Please help me Graph a line that is perpendicular to the given line. Determine the slope of the givenline and the one you graphed in simplest form. Click and drag on the graph to draw aline. Will mark brainliest!!! Can someone please help me with this??? Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping. 2/3 of the caramel apples are covered with peanuts. 1/5 are covered with chocolate chips. 1/10 are covered with coconuts. How many caramel apples are covered with sprinkles? Use the equation below to find y, if m =6, x = 3, and b = 5.y = mx + b A 1.0 liter flask contains 90.1 moles of water vapor at 27.0 oC. What is the pressure of the gas? If f (x ) = -4x 11, what is f (5)? Grandma gave that laugh and my spoon flew out of my hand and spilled corn flakes on the table" (p 167) is an example of... *5 pointsalliterationpersonificationallusiononomatopoeia What type of triangle is ABC?Give reasons for your answer. to find the sum of all the odd integers from to 49 inclurive 4. What form of government is more efficient (works better to get things done, lawsput into place and enforced) - democracy or dictatorship?5.Answer the following question to your answer for #4 - why? A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. Day of Week n x bar s Sunday 45 86.48 34.89 Monday 45 109.29 27.37 Tuesday 45 110.96 28.64 Wednesday 44 115.03 31.68 Thursday 44 114.97 33.26 Friday 45 108.58 32.22 Saturday 45 87.07 38.56 Overall 313 104.56 34.25 Computer output from the analysis is provided: One-way ANOVA: Electricity versus Day of Week Source DF SS MS F P Day of Week 6 41646 6941 6.55 0.000 Error 306 324428 1060 Total 312 366073 What is the decision on the hypothesis test and why Please help grade depends on it How to compare love to a rose