A train leaves the station at time = 0. Traveling at a constant speed, the train travels 330 kilometers in 3 hours. Answers parts a and b. A. Write a function that relates the distance traveled d to time t. The function that relates the distance traveled d to the time is.

Answers

Answer 1

Answer:

The function that relates the distance traveled d to the time t is

f(t) = 110t, where d = f(t)

Step-by-step explanation:

From the question, we were told that the train is At a constant speed, the train travels 330 kilometers in 3 hours

We were told to write function that relates the distance traveled d to the time t, we can do this by writing a linear equation with those functions

Since we are told that the train travels 330 kilometers in 3 hours, then we can say the train travel (330/3) kilometers in 1 hour which means it travel 110 kilometers in 1 hour

Then d= 110t---------------eqn(1)

If if t = 0, then d = 0, as well since at t=0 the train is at the station

At t = 1 then d = 110.

From equation (1) d can be replaced by f(t) then we have

f(t) = 110t----------------eqn(2)

Now we replace d by f (t), because d = f t):

f(t) = 120t

Therefore, The function that relates the distance traveled d to the time is f(t) = 120t


Related Questions

A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.

(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.

(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?

(C) What is the expected number of eggs with rocks that Natasha will have in her basket?

Answers

Answer:

[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]

There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.

p

+

q

=

1

. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability

p

=

0.6

. Then,

q

=

0.4

. This means that for every true-false statistics question Joe answers, his probability of success

(

p

=

0.6

)

and his probability of failure

(

q

=

0.4

)

remain the same.

The outcomes of a binomial experiment fit a binomial probability distribution. The random variable

X

=

the number of successes obtained in the n independent trials.

The mean,

μ

, and variance,

σ

2

, for the binomial probability distribution are

μ

=

n

p

and

σ

2

=

n

p

q

. The standard deviation,

σ

, is then

σ

=

n

p

q

.

Any experiment that has characteristics two and three and where

n

=

1

is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.

2 power of 3 x (8 + 4 - 10)

(PEMDAS)

Answers

Answer:

16

Step-by-step explanation:

First do the operations in the parentheses.

8+4-10 = 2

Then do 2^3.

2^3 = 2*2*2 = 8

Then do 8*2

16

A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

Answers

Answer:

There is no diagram for our observation. Please refine your question next time.

Step-by-step explanation:

Mauricio can string 8 guitars in 2 hours how many can he string in 15 ?

Answers

Answer:

He strings 52 guitars in 15 hours

The population of a town is 9,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years ?

Answers

Answer:

13410

Step-by-step explanation:

So, first we find 4.6% of 9000

9000 x .046 = 414

Then we multiply the 414 by 10 because they gain 414 people every year and we need to find how many people after 10 years

414 x 10 = 4140

now add 4140 and 9000

Answer = 13140

Convert 6.1x10^4 into standard form ASAP!

Answers

Answer:

= 61000

Step-by-step explanation:

Move the decimal place 4 places to the right

61000

Answer:

61,000

Step-by-step explanation: Ive studied this in middle school

Question 18
1 pts
If JKLM is an isosceles trapezoid, solve for x.
(8x – 23)
(6x + 11)°
M
L
HELPPP

Answers

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

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

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

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

M + 113 = 180

M = 180 - 113

M = 67

L = 67

Pls answer this 100 points pls HELP

Answers

Answer:

The answer is

N+ 1 = 3+2/2

=3

Step-by-step explanation:

The answer is 3

This is a odd number

Answer:

N + 1 = 3+ 2/2 =3

Step-by-step explanation:

I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.

y + 2/5y whats is its equivalent expression

Answers

Answer:

(7 y)/5 I think...

Step-by-step explanation:

A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?

Answers

Answer:

280 km

Step-by-step explanation:

Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say [tex]b_2[/tex],  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.

The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km

[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]

and the distance traveled by the second bus, [tex]d = 80t[/tex] km

[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]

Now, equation the equation (i) and (ii), we have

[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]

Hence, both the bus will meet at a distance of 280 km from the station.

6+9=−3−21−6 for .



help meeeeeeeeee

Answers

Answer:

15= -30

Step-by-step explanation:

I don't know if this is complete because the question cut off

The Answer is : 15=−30

A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?

Answers

Answer:

131.18

Step-by-step explanation:

A blindfolded contestant makes a random selection from a bag
that contains white, red, green, and yellow marbles at a carnival
booth. The bag contains 12 marbles in total. Use the following
clues to determine how many marbles of each color are in
the bag.
Clue 1: P(white) Plyellow) = P(green)
Clue 2: Of 40 players, 10 are expected to select a white marble.
Clue 3: If 2 green marbles are removed from the bag, then P(red) = 1/5

Answers

Answer:

D

Step-by-step explanation:

There are 4 colors to choose from, so use numbers 1-4 to represent each color.

The table below represents a linear function f(x) and the equation represents a function g(x):



Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer:

Step-by-step explanation:

Part A

for f(x) slope between points (-1,-6) and (1,0)

m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3

for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5

The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper

part B

The y intercept for g(x) is  (0, -5)

The equation of f(x) can be found

y-y1 =m(x-x1) take any point for example point (1,0)

y-1 =3(x-0)

y=3x+1 so the y-intercept is at (0,1)

The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5

A price of a toy usually costing £50 is increased to £65
work out the percentage increase

Answers

Answer:

15/50×100=30%

Step-by-step explanation:

A video game markup
Games galore super store buys the latest video game at a wholesale price of $30.00. The markup rate at games galore is 40%. you use your allowance to purchase the game at the store. How much will you pay,not including tax?
a. write an equation to find the price of the game at games galore super store. Explain your equation

Answers

Answer:Evaluate: 12y+9d if y = 5 and d = 7

Step-by-step explanation:

Evaluate: 12y+9d if y = 5 and d = 7

Answer:

espanol si amego kumasta

Step-by-step explanation:

un cuadro tiene 12 cm en sus lados ¿cuanto mide su area y su perimetro

Answers

Answer:

area es 48 cm

el perimetro es 144cm

Step-by-step explanation:

equations with variables on both sides: decimals & fractions, 6d - 11/2 = 2d - 13/2

Answers

Step-by-step explanation:

i work in paper sheet please see it

Final Answer: [tex]d = -\frac{1}{4}[/tex]

Steps/Reasons/Explanation:

Question: Equations with variables on both sides: decimals & fractions, [tex]6d - \frac{11}{2} = 2d - \frac{13}{2}[/tex].

Step 1: Subtract [tex]2d[/tex] from both sides.

[tex]6d - \frac{11}{2} - 2d = -\frac{13}{2}[/tex]

Step 2: Simplify [tex]6d - \frac{11}{2} - 2d[/tex] to [tex]4d - \frac{11}{2}[/tex].

[tex]4d - \frac{11}{2} = -\frac{13}{2}[/tex]

Step 3: Add [tex]\frac{11}{2}[/tex] to both sides.

[tex]4d = -\frac{13}{2} + \frac{11}{2}[/tex]

Step 4: Simplify [tex]-\frac{13}{2} + \frac{11}{2}[/tex] to [tex]-1[/tex].

[tex]4d = -1[/tex]

Step 5: Divide both sides by [tex]4[/tex].

[tex]d = -\frac{1}{4}[/tex]

~I hope I helped you :)~

14. Which graph has an undefined slope?

Answers

Given:

Slope is undefined.

To find:

Which graph has an undefined slope?

Solution:

We know that, slope is change in y-values with respect to x-values.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope is undefined if the denominator is 0.

[tex]x_2-x_1=0[/tex]

[tex]x_2=x_1[/tex]

It means, the x-values are same. It is possible only for a vertical line.

Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.

A. 2x+5=23
B. x+2+5=23
C. x+x+5=23
D. 5x+2=23

Answers

Answer:

b

Step-by-step explanation:

lucky guess

Answer:

your answer is A

Step-by-step explanation:

if you look at the amount of "x's " you have , you put them together and you will get 2x and you add 5 and your answer 23...

hopefully i was helpful

PLEASE HELP ASAPPPP!!???

Answers

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

Need help with these ASAP please

Answers

Answer:

5. x= -8/3 y + 3

Step-by-step explanation:

3/4
of a number is 24.
Find the number.

Answers

Answer:

32

Step-by-step explanation:

Divide 24 by 3/4 to find the number.

24 ÷ 3/4

= 24 × 4/3

= 32

Answer:

3/4×X=24

4×3/4×X=4×24

3x=96

X=32

Step-by-step explanation:

Rewrite as a simplified fraction 2.67 repeating

Answers

265/99, is what I think but I’m not sure

help me with this now please

Answers

Step-by-step explanation:

davis is right.

(+8) + (+6) + (+2) =​

Answers

I got 16 for the answer

Answer:

0

Step-by-step explanation:

Multiply  − 1  by  − 6 . − 8 +6 + 2

Add  − 8  and  6 . − 2 + 2

Add  − 2  and  2 .

0

which one of these tables shows a direct variation​

Answers

Answer:

The first one

Step-by-step explanation:

A direct variation is when x and y are multiplied or divided by the same number. For example, in the first one y is always 8 times x. But, in the 2nd 3rd and 4th one that is not the case.

Hope this Helps!!! :)

Let me know in the comments if I should change anything or if the answer was perfect!!!

There is 1/3 of a pie shared equally between 5 children. How much of the pie does each child receive?

1/9 pie
1/15 pie
1/18 pie
1/20 pie

Answers

Answer:

1/15 pie

Step-by-step explanation:

An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!

(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.

you get 1/15. Hope it helps

Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15

Answer:

Its B, 1/15 hope this helps

Step-by-step explanation:

please help IM GIVING 100 POINTS SO PLEASE MAKE SURE ITS CORRECT

Answers

Answer:

A is 6 23/56

B is 3 4/15

Step-by-step explanation:

Answer:

a. 6 23/56

b. 3 4/15

Step-by-step explanation:

1. First you need have the same denominators.

5 16/56 and  1 7/56

5 16/56 + 1 7/56 = 6 23/56

2. Again you have to find the same denominators.

4 10/15 and 1 6/15

4 10/15 - 1 6/15 = 3 4/15

3 4/15

will give brainliest. Which of the binomials below is a factor of this trinomial? 3x^2+16x+ 5 A- 3x-5 B. 3x-1 C. 3x+1 D. 3x+5

Answers

Answer: 3x + 1

Step-by-step explanation:

A p e x

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