15. You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk
through the Bunker Hill Memorial, your family decided to take a taxi to a restaurant for dinner. After 1
mile, the meter on the taxi says $475. It will cost $6.50 to go 2 miles. The cost varies linearly with the
distance that you have traveled (In other words, there is a constant rate of change).

Answers

Answer 1
The constant rate of change is $1.75 :)

This is because when the x value equals 1 the y value equals 4.75. And when the x value equals 2 the y value equals 6.50, so the rate of change is between the 2 y values which is linear so it has a constant rate of change of $1.75.

Related Questions

Take some time but answer correctly

Answers

Answer:

c) 2⁻⁹

Step-by-step explanation:

1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3

Answer:

c

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ , then

[tex](8)^{-3}[/tex]

= [tex](2^3)^{-3}[/tex]

= [tex]2^{3(-3)}[/tex]

= [tex]2^{-9}[/tex] → c

just help on what to say here

Answers

The congruence symbol is this: ≅.

It’s saying to write the statement that’s saying both shapes are congruent. For example ABC ≅ DEF but use the letters in the shapes they gave.

(HELP NEEDED ASAP) What is the force needed to accelerate that same object to 7 m/s2? The unit of force is N (Newtons)

Answers

Answer:

20N

Step-by-step explanation:

100- 58.90 is equal to what

Answers

Answer:

41.1

Step-by-step explanation:

use calculator

100- 58.90 is equal to 41.10

Use coordinate pair to find u(2)

Answers

Answer:

[tex]u(2) = 3[/tex].

Step-by-step explanation:

A function [tex]f: A \to B[/tex] is a set of ordered pairs ([tex]2[/tex]-tuples in the form [tex](a,\, b)[/tex]), such that for any [tex]a \in A[/tex], there is exactly one [tex]b \in B[/tex] such that [tex](a,\, b) \in f[/tex].

In other words, for any element [tex]a[/tex] in the domain of this function, there must be exactly one ordered pair with this [tex]a\![/tex] as the first element.

If [tex]f[/tex] meets these requirements, then for any [tex]a \in A[/tex] and [tex]b \in B[/tex], write [tex]f(a) = b[/tex] if and only if [tex](a,\, b) \in f[/tex].

In other words, write [tex]f(a) = b[/tex] ([tex]f[/tex] maps [tex]a[/tex] to [tex]b[/tex]) if and only if there is an ordered pair in [tex]f\![/tex] with [tex]a\![/tex] as the first element and [tex]b\![/tex] as the second element.

The [tex]u[/tex] in this question is indeed a set of ordered pairs and meet the requirements for being a function from [tex]\lbrace 1, 2, 3\rbrace[/tex] to [tex]\lbrace 2,\, 3,\, 4 \rbrace[/tex].

The question is asking for the value of [tex]u(2)[/tex]. Thus, it would be necessary to find an ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element.

The only ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element is [tex](2,\, 3)[/tex]. Thus, [tex]u\![/tex] maps [tex]2\![/tex] to [tex]3\![/tex], such that [tex]u(2) = 3[/tex].

Which of the following expressions is equivalent to 4(2x+y) ?

Answers

Answer:

what expressions

Step-by-step explanation:

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

hope this help

Algebra one please help

Answers

Answer: a

Step-by-step explanation: In the picture

please give me a brainliest answer

Step-by-step explanation:

just look at the graph and check the typical "special" points.

e.g. when x = 0, and when y = 0, and maybe (depending on the curve) some other interesting ones.

so, what does the graph tell for x = 0 ?

it says y = 5.

that rules out C and D, because they would deliver y = 1/5 for x = 0.

so, it can only be A or B.

now, what does the graph tell us for y = 0 ?

ok, it tells us, x = 1.

that does not help us in this case, as both, A and B deliver y = 0 for x = 1

so, let's look at another good point. good points are points, where we can see pretty precisely their coordinates on the chart, and where these coordinates are even integer numbers.

I see e.g.

x = 2, and y = -5

let's try A

-5 = -5 × cubic root(2 - 1) = -5 × cubic root (1) = -5×1 = -5

so, -5 = -5, that is correct.

let's verify by checking also B

-5 = 5 × cubic root (1 - 2) = 5 × cubic root (-1) = 5×-1 = -5

-5 = -5, again, this is correct.

hmmmmm.

when we think about it, in fact, A and B are the same function (by the way, C and D are equal to each other too).

either your teacher made a mistake or tried to trick you.

A and B are both the right answer.

why ?

A (I only write "cr" for cubic root now)

y = -5 × cr(x - 1) = 5 × -1 × cr(x - 1) = 5 × cr((-1)³(x - 1)) =

= 5 × cr(-1 × (x - 1)) = 5 × cr(x×-1 - 1×-1) = 5 × cr(1 - x) = B

so, A and B are actually equal.

Does the graph represent a function? Why or why not? ​

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

Can i get braineist pls

Pick the odd one out. A) 8÷4×2 B) 5×1−1 C) 3×3−5 D) 3×2+1

Answers

Answer:

D

Step-by-step explanation:

cause 8÷4 =2 and ×2 =4

5x1=5-1=4

3×3=9-5=4

3×2=6-1=5

The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5

What is the x and y intercept of 2.5x+8y=240 please show your work.

Answers

Answer:

The x and y intercept are (96,30)

Step-by-step explanation:

8y=240-2.5x

y=240/8-2.5x/8

y=30-0.3125x

The y intercept=30

The x intercept=96 thus 30=0.3125x,x=30/0.3125

Suppose that the average speed of cars on a busy section of a local highway was normally distributed with a mean of 65 mph and standard deviation of 4 mph. What is the probability that the speed of a random car in this data set was less than 53 mph?

0.025
0.0015
0.16
0.475

Answers

Answer: Choice B)  0.0015

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

Explanation:

mu = 65 = population meansigma = 4 = population standard deviation

Let's convert x = 53 to its corresponding z score

z = (x-mu)/sigma

z = (53-65)/4

z = -12/4

z = -3

This indicates we're 3 standard deviations below the mean.

Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.

(0.3%)/2 = 0.15%

This then converts to 0.0015 when we move the decimal point 2 spots to the left.

hello can anyone help with this?

The distance between Heysham and the Isle of Man is 80 km.
A hovercraft travels at 50 km per hour.
How long does the journey take?

Answers

50/1 =80/x
50x=80
Divide both sides of the equal sign by 50 to get variable by itself
x= 1.6
Your answer is 1.6 of an hour for the journey

Answer:

1 hour 36 minutes

Step-by-step explanation:

Amount of time the journey takes = 80km ÷ 50km/h

                                                        = 1.6h

                                                        = 1h 36mins

7/8 divided by 2 1/4

Answers

Answer:

7/18

Step-by-step explanation:

The answer should be 7/18!

Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)

Answers

Answer:

[tex]\boxed{\sf m=-\frac{7}{5}}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

→ [tex]\sf \left(x_1,\:y_1\right):\left(-3,\:4\right)[/tex]

→ [tex]\sf \left(x_2,\:y_2\right):\left(2,\:-3\right)[/tex]

[tex]\sf m=\cfrac{-3-4}{2-\left(-3\right)}[/tex]

[tex]\sf m=-\cfrac{7}{5}[/tex]

_________________________

the answer to this problem is - 7/5

Which statements about the area of the faces of the rectangular prism are true? Select all that apply.
Two of the faces have an area of 30 ft2.
There is only one face with an area of 48 ft2.
Two of the faces have an area of 40 ft2.
The front face has an area of 30 ft2.
The top face has an area of 40 ft2.

Answers

Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,

Step-by-step explanation: SOrry if im wrong

Answer: A, C, D

Step-by-step explanation:

If r is the midpoint of AB and AR=14, then AB=______

Answers

Answer:

28

Step-by-step explanation:

The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)

Hope this helps!

please help, been stuck on this

Answers

Answer:
y=-1/3x+40
Steps:
The 40 came from the y intercept
x came from rise/run and it is negative

100 points for right answer

Answers

Answer:

x=6

Step-by-step explanation:

Step 1: Cross-multiply.

x−3  / 5 = 6 /10

(x−3)*(10)=(6)*(5)

10x−30=30

Step 2: Add 30 to both sides.

10x−30+30=30+30

10x=60

Step 3: Divide both sides by 10.

10x 10 = 60  10

Answer:

hope it helps you................

z-16z=15 what is z please

Answers

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

please help with number 3 & 4 PLEASE !! will mark BRAINLIEST

Answers

Answer:

3 is -15/2 and 4 is -3/2

Step-by-step explanation:

If im not mistaken these are the awansers

Helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

m = - 1

Step-by-step explanation:

9m + 13 = 4

subtract 13 from both sides

9m = 4 - 13

9m = - 9

divide both sides by 9

m = - 1  (negative 1)

Here’s another one.. so sorry if this confused you..

(Also I got this question wrong..)

Answers

Answer:

hmmm did you try 14?

It’s prob 13,


I dunno.. I keep thinking since it has the eighth meaning 8. Do 20-8=13

What is 1/8 of 3? When i look it up it says to many different answers.

Answers

Answer:

3÷8=0.375

Step-by-step explanation:

1/8 of a number can be found by dividing the number by 8.

Answer:

0.375

Step-by-step explanation:

If you divide 3 into 8 diffrent pieces you get 0.375 and to prove it 0.375 x 8 = 3.

How do you make 3x-4=y standard form

Answers

[tex]\\ \sf\longmapsto 3x-4=y[/tex]

isolate y

[tex]\\ \sf\longmapsto y=3x-4[/tex]

Done !

Here

m=3b=-4

Note:-

Standard form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

Answer:

[tex]⟼3x−4=y \\ \\

isolate y

\begin{gathered}\\ \sf\longmapsto y=3x-4\end{gathered}⟼y=3x−4

Done !

Here

m=3

b=-4

Note:-

Standard form

\begin{gathered}\\ \sf\longmapsto y=mx+b\end{gathered}⟼y=mx+b

[/tex]

Help me please this is due tomorrow

Answers

Answer:

4.79

Step-by-step explanation:

How to get the mean:

Step 1: Add all numbers together

This was 19.16

Step 2: Divide the total by the amount of things being added (4 because 4 days)

This was 4.79

Hope this helps

a journey by bus takes 45 mins at 40km/h how fast must a car go to undertake the same journey in 25 mins​

Answers

Answer:

72km/h

Step-by-step explanation:

Bus - 45 mins at 40km/h

Car - 25 mins at ?

First, find the distance travelled by the bus (since, the journey of the two vehicles are the same, the distance would be the same as well)

distance = speed × timedistance = 40 × 3/4 (45 mins = 3/4 of an hour (45 ÷ 60))distance = 30km

Now we can find the speed of the car using the equation

speed = distance ÷ timespeed = 30 ÷ 5/12 (25 mins = 5/12 of an hour (25 ÷ 60))speed = 72km/h

THE DIMENSIONS OF A CUBED ARE 4X C.M,6X C.M AND 10X C.M
A.FIND THE THE TOTAL SURFACE AREA
B.FIND THE VOLUME​

Answers

Answer:

A. 248 square CM

B. 240 cubic CM

Please someone help meee
asap
Please I need help

Answers

HEY MATE HERE

NO THEY ARE NOT

YOUR ANSWER IS FALSE 1ST ONE

LOVE FROM INDIA HAVE A GREAT FUTURE

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The terms 3x²y and -5xy² aren't like terms,

So, the Correct choice is :

[tex] \huge \mathrm{false}[/tex]

100 lamps have been prepared for a function. 3 litres of oil
were required to fill all these lamps completely. Estimate
the capacity of a lamp.

Answers

300 liters of oil is needed to fill the lamps

Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

Evaluate the expression when a = -3 and c=4. a-3c​

Answers

Answer:

Step-by-step explanation:

c=1/4(A-3c)

4c = A-3c

7c = A

c = A/7

-3-3(4)
-3-12=-15

Answer: -15


Hope this helps!
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