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

Which function has the same range f(x) =-5/7 (3/5)^x? Hurry !!!

Answers

answer is

B). g(x) = -5/7 (3/7)^-x

Answer: b

g(x) = -5/7 (3/7)^-x

Step-by-step explanation: have a great day :)

What is 5 + 5 + 5 + 5 + 5 (5 x 4) Easy question so you can get points! Explain and get brainliest!

A) 45
B) 120
C) 100
D) 25

Answers

B) 120 because you follow pemdas which arrives to the answer of 120

Answer:

A) 45

Step-by-step explanation:

BECAUSE 5 + 5 + 5 + 5 + 5 = 25

and 5 x 4 = 20

So, 25 + 20

= 45

Find the slope of the lines that go through the following points.

Answers

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

please help, im desperate ​

Answers

Answer:

i think 124...is the answer

plz help me with this homework i have

Answers

the answer is D i’m pretty sure
i’m also pretty sure that it’s d, i’m not the best at it though but that’s the one i got

pls help me answer this​

Answers

Answer:

The answer for the question is "C. 180"

2-1/3x=1/6x+1
x=?
Merry Christmas

Answers

Answer:

x=2

Step-by-step explanation:

Thanks sweetheart <3

What is the slope of 2,10 and 4,20 please answer rn

Answers

Answer:

2/10?

Step-by-step explanation:

Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%

Answers

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

a. convert the raise as a percent into a decimal, then add 1

20% = 0.2

0.2 + 1 = 1.2

b. multiply the number by the original salary

1.2 * 1500

1800

Answer:

$ 1800

Step-by-step explanation:

Rise in payment = 20% of 1500

                          [tex]= \frac{20}{100}*1500\\\\=20 *15\\\\= $300[/tex]

New weekly wage = 1500 + 300

                                = $ 1800

A scale on a blueprint drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blueprint represents an actual distance of 27 meters?

Answers

Answer:

Step-by-step explanation:

What is the 30th term of the linear sequence below?
−5,−7,−9,−11,−13
,

Answers

a1 = -5, d = -2
Use formula: an = a1 + (n-1)d
a30 = -5 + (30-1)(-2)
a30 = -5 + (-38)
a30 = -63
The 30th term should be -63

What is that "break even" cost? *

Answers

Answer:

$61

Step-by-step explanation:

When each company sells 6 shirts, they have $48 (CS) and $45 (TT). When you add their shipping prices, they both have $61.

Solve the equation sin^2x=3Cos^2X.

I would love to graduate...so thanks in advance!

Answers

Answer:

240°

Step-by-step explanation:

[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]

How many five card hands can
be dealt from a standard deck of
52 cards?

Answers

Answer:

2

Step-by-step explanation:

Problem
Solve for x
x + 5 = 10
——-
2

Answers

Answer:

Step-by-step explanation:

x = 5

Answer:

x=5

Step-by-step explanation:

What is the slope of the line that passes through the points (4, -6) and (4, 6)?

Answers

Answer:

no slope

Step-by-step explanation:

m= y2-y1/x2-x1

m= 6-(-6)/4-4

m=12/0

m= no slope

What is 135 less than the product of 57 and 219?

Answers

Answer: something in the negatives

Step-by-step explanation:

HELP PLEASE 100 points IM BEING TIMED ILL EVEN GIVE A CROWN THING
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

A.) 90 degree rotation about point 0 composition reflection across the x-axis
B.) Reflection across the x-axis composition 90 degree rotation about point 0
C.) 180 degree rotation about point 0 composition reflection across the x-axis
D.) Reflection across the x-axis composition 180 degree rotation about point 0

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The guy above me was correct. I got a 99% on my test.

Jordan is knitting a sweater. He keeps track of how many balls of green and yellow yarn he uses in the table below.
If he uses 15 balls of yellow yarn, how many balls of green yarn will he need?

Answers

Answer:

the answer is B i think ..............

10
Because if you divide the x column by the y column you get 0.666666666667 (a lot of 0s basically) and 10/15 gets you the same answer

simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]

We must express the mixed fraction into an improper fraction:

[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]

Since 80 = 16*5 and 20=4*5

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]

Adding the fractions:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]

[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]

Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!

Answers

Answer:

A.B

Step-by-step explanation:

5 - sqrt1.35 =  ~3.8

A) 3 / sqrt2 = ~2.1

B) 5 / sqrt3 = ~2.9

C) 3 + 2sqrt2 = ~5.8

D) 4 + 8/sqrt50 = ~5.1

The drama club has $4000 to spend on their winter performance. They have already
spent $1500 on the set, and programs cost $1.75 each.
Thetinequality 1500 + 1.75x<=4000 can be used to determine the number
of programs, x, that can be ordered. Which statement about the number of
programs that can be ordered is true?

The drama club can purchase at least 1.428 programs

The drama club can purchase at most 1.428 programs

The drama club can purchase 1,429 programs

The drama club can purchase 4000 programs

Answers

Answer:

The drama club can purchase 1429 programs

Step-by-step explanation:

what is the answer to this?​

Answers

Answer:

[tex] < 1 = 48[/tex]

Step-by-step explanation:

[tex] < 1 + 132 = 180[/tex]

[tex] < 1 = 180 - 132[/tex]

[tex] < 1 = 48[/tex]

because it's a straight angle(180)

if L is parallel to M, find the value of each variable(s)

Answers

Answer:

see below

Step-by-step explanation:

5.  9x + 2 = 119°                    alternate interior angles are congruent

          9x = 117

           x = 13°

6.  12x - 8 + 104° = 180°       same side interior angles are supplementary

            12x + 96 = 180

                     12x = 84

                        x = 7°

7.  5x + 7 = 8x - 71                alternate exterior angles are congruent

         -3x = -78

            x = 26°

8.  4x - 7 = 7x - 61                corresponding angles are congruent

        -3x = -54

          x = 18°

9.  9x + 25 = 13x - 19          corresponding angles are congruent

            -4x = -44

               x = 11°

    13x - 19 + 17y + 5 = 180°        straight line adds up to 180°

    13(11) - 19 + 17y + 5 = 180

       143 - 19 + 17y + 5 = 180

                    17y + 129 = 180

                              17y = 51

                                  y = 3°

10.  6x - 7 + 3x - 29 = 180°     same side interior angles are supplementary

                   9x - 36 = 180

                           9x = 216

                             x = 24°

     6x - 7 = 8y + 17                   vertical angles are congruent

      6(24) - 7 = 8y + 17

         144 - 7 = 8y + 17

               137 = 8y + 17

               120 = 8y

                  y = 15°

11.  49 + 3x = 7x - 23                corresponding angles are congruent

            -4x = -72

               x = 18°

 

      3x = 11y - 1                         corresponding angles are congruent

      3(18) = 11y - 1      

          54 = 11y - 1

          55 = 11y

            y = 5°

12.  5x - 38 = 3x - 4                alternate interior angles are congruent

             2x = 34

               x = 17°

 

      7y - 20 + 5x - 38 + 90 = 180°        sum of triangle interior angle equals 180

      7y - 20 + 5(17) - 38 + 90 = 180°      

      7y - 20 + 85 - 38 + 90 = 180°    

                              7y + 117 = 180

                                      7y = 63

                                       y = 9°

Isosceles triangle MNis shown below with MN ~= PN. Ray NQ bisects angle MNP and intersects side MP at point Q. Name three pairs of congruent angles

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are  obtuse, scalene, equilateral, isosceles etc.

An isosceles triangle is a triangle with two equal sides, the base angles of an isosceles triangle is equal.

Since ΔMNP is an isosceles triangle with MN = PN, then:

∠QMN = ∠QPN (base angles of an isosceles triangle are equal)

∠MNQ = ∠PNQ (NQ bisects ∠MNP producing two equal angles)

∠MQN = ∠PQN (right angles)

Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0.

Answers

Answer:

1/6

Step-by-step explanation:

sec = 1/cos = [tex]\sqrt{37}[/tex]/6 and cos is adj/hyp so the other side of the triangle is 1 and tan = sin/cos so 1/6

Un agricultor tiene una finca de una hectárea la mitad le dedica a cultivar tomates los 2/5 lo dedica a lechugas y el resto cebollas. A qué fracción dedicará cebollas. B qué superficie dedica a cada cultivo.

Answers

The given area of the farm, A_0=1 hectare.

The fraction of the farm for cultivating tomatoes = 1/2

The fraction of the farm for cultivating lettuce = 2/5

The remaining fraction of farm for onion = 1-(1/2+2/5)=1/10

Therefore, the fraction of farm dedicated to onion is 1/10.

Now, the area dedicated to tomatoes = 1/2 of the area of land.

=1/2 x 1 = 1/2 hectare.

The area dedicated to lettuce = 2/5 of the area of land.

=2/5 x 1 = 2/5 hectare.

The area dedicated to onion = 1/10 of the area of land.

=1/10 x 1 = 1/10 hectare.

What is 27 times 30 to the power of 2?(“real” question)

Answers

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

y=x+6
x+y=8

now graph 3 points on the line x+y=8​

Answers

Answer:

y=2

Step-by-step explanation:

advgdsfh usb hey do f ft h

what is the slope of the graph of y=12x-19

Answers

Answer:

The slope is 12

Step-by-step explanation:

Remember the slope formula y=mx+b

m= the slope

b= y-intercept

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