The cost of a ride in a taxi is $2.50 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.


2.50, 2.75, 3.00. 3.25, 3.50, 3.75


Part A: Write a recursive function that can be used to determine f(x), the cost in dollars, for a ride in the taxi of, x, half-miles.

The Cost Of A Ride In A Taxi Is $2.50 For The First Half-mile Plus A Constant Amount Per Half-mile After

Answers

Answer 1

Answer:  2.50 + 0.35(15.75-1)*4 = $23.15 is the answer

Step-by-step explanation: Hope this helps!


Related Questions

Write a recursive formula for a_n the n^th term of the sequence 36, 6, 1, ....

a_1=


a_n=

Answers

Answer:

you plus them together then you get 42 out of your number you close during / N which is 3 to get your final answer thank

Which of the following is the graph of

Answers

Answer: C

Step-by-step explanation:

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be % confident that his estimate is within percentage points of the true population percentage

Answers

Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confident, hence:

[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.

Within 4%, hence, it is needed to find n for which M = 0.04.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up, 601 adults must be sampled.

A similar problem is given at https://brainly.com/question/15133177

Help please please need quick

Answers

14 times 14=196
7 times 7= 49
196-49=147
The length of X is approximately 7 root 3. Or 12.12 as a decimal

Can someone pls answer this because I only got 30 min with like 25 questions left

Answers

M= 4 - 9 / 2 - 1

That’s really it

slope of thissss




please help

Answers

-0.66

Step-by-step explanation:

can u mark me a brainliest

HELP IF CORRECT WILL GIVE BRAINLIEST (if you are trying to play around i will report u u-u)

Answers

Answer:

synthetic.

Step-by-step explanation:

I don't know how to give a step by step.

Answer:

Well I don't have the previous reading stated in the question obviously, but fossil fuels are natural resources. They form from decomposing plants and animals and are mainly found in the Earth's crust. These fuels are made of hydrogen and carbon which can be burned for energy.

A line that passes through the points (12,12) and (20,6)

Answers

Answer:

8,48 I think

Step-by-step explanation:

I subtracted them from each other

The required equation of the line is given as y = -6x / 8 + 21.

Given that,
A line that passes through points (12,12) and (20,6)

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

here,
Standard equation of the line,

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

Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21

Thus, the required equation of the line is given as y = -6x / 8 + 21.

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Question is in picture

Drag and drop the steps in order to correctly complete the proof

Answers

9514 1404 393

Explanation:

The correct order of the steps is ...

(Given)(Definition of supplementary)(Substitution)(Subtraction ...)(Definition of congruent angles)

A proof always starts with "given". It always ends with a statement of what you have proved.

To fill in the sequence between these, it helps to think about what the relationships are and why you can conclude that the theorem is correct.

Which table could be a partial set of values for a linear function?

(Had to repost cuz of spamming)

Answers

x:0, 1, 2, 3 and y: 0, 2, 8, 18
I believe this is the answer

Write 640 : 30 in the lowest form.

Answers

Answer:

should be 64:3

Step-by-step explanation:

divide by 10

anyone good at maths?​

Answers

1 ) 4 × 11 = 44 yd

____________________

2) 4 × 2 = 8 ft

____________________

3) 4 × 4 = 16 in

____________________

4) 4 × 6 = 24 ft

____________________

5) 4 × 18 = 72 in

____________________

6) 4 × 5 = 20 yd

____________________

7) 4 × 9 = 36 in

____________________

8) 4 × 13 = 52 yd

____________________

9) 4 × 10 = 40 ft

Answer:

I am good, but not for peremiter

Step-by-step explanation:

Solve:
8t + 2 = 8 (4) + 2 = 32 + 2 = ?

Whats the question mark?

Answers

Answer:34

Step-by-step explanation:

32+2=34

Answer:

= 34

Step-by-step explanation:

8t + 2 = (4) + 2 = 32 + 2 = 34

that's my answer , i wish my answer helps you

п
What is the end behavior of the polynomial function?
1
8
B
4
2
6
2
2
8
B
X
-4
6
o As X->-co, then Y---
As X-→-00, then y0
As X-0, then y →-00
ne X -> then V -> 0

Answers

Answer:

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity

Step-by-step explanation:

hope this help

dont know if this is correct

The end behavior of the polynomial function is as x -> ∞, y -> -∞

How to determine the end behavior?

From the graph of the polynomial, we have the following highlight:

As x approached infinityThe function approaches negative infinity

The above highlights mean that:

As x -> ∞, y -> -∞

Hence, the end behavior of the polynomial function is as x -> ∞, y -> -∞

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For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?

Answers

Answer:

x

Step-by-step explanation:

It still would be a negative.

The comparison that Tina wrote incorrectly is X. Then the correct option is B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The table is given below.

Comparison         Number          Opposite value

       W                      -3                       3

       X                      -(-9)                    9

       Y                        0                      0

       Z                        4                    - 4

The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.

More about the Algebra link is given below.

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For what positive number is the cube of the number greater than twice it’s square

Answers

Answer:

You want to solve the equation

x2=2x3 ,

which is equivalent to

x2(1−2x)=0 .

The product of two factors is zero if and only if one of the factors is zero. Thus, this implies that either  x2=0  or that  1−2x=0 .

In the former case we have  x=0 , which isn’t a positive number. In the latter case you have  x=1/2 , which is the solution that we want.

Step-by-step explanation:

The property taxes on a business office were $2340. What was the tax rate if the business office was valued at $260,000? Follow the problem-solving process and
round
your answer to the nearest hundredth of a percent, if necessary.

Answers

Answer:

It is 2447/150,000

=0.0163=1.63%

Step-by-step explanation:

f(x)=2x^2 + x - 6/ x-1

Answers

Answer:

See below

Step-by-step explanation:

Zeroes:

[tex]f(x)=\frac{2x^2+x-6}{x-1}[/tex]

[tex]0=\frac{2x^2+x-6}{x-1}[/tex]

[tex]0=2x^2+x-6[/tex]

[tex]0=(2x-3)(x+2)[/tex]

[tex]x=\frac{3}{2},-2[/tex]

Vertical and Horizontal Asymptotes:

[tex]x\neq 1[/tex] is excluded from the domain, therefore, there's a vertical asymptote at [tex]x=1[/tex]

No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.

Oblique (Slant) Asymptote:

[tex]f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)[/tex], so the oblique/slant asymptote is [tex]y=2x+3[/tex]

Find the missing side of the triangle. Round to the nearest tenth where necessary find qr

Answers

Answer:

QR = 4.9 ft

Step-by-step explanation:

Since the triangle is a right triangle, use the Pythagorean Theorem (a² + b² = c²).

[tex]a^2+b^2=c^2\\\\a^2+1^2=5^2\\\\a^2+1=25\\\\a^2=24\\\\\sqrt{a^2}=\sqrt{24}\\\\a=4.9[/tex]

If Lauren can run
150 feet in 1/3 of
a minute. What
is her unit rate in
feet per minute?

Answers

Answer:

450

Step-by-step explanation:

150* 3

hope this helps

Answer:

450

Step-by-step explanation:

150 feet in 1/3 min

? -----  1 min

150 * 1 = x * 1/3

x = 150 * 3

= 450

the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.

Answers

Answer:

You should be able to get your answer by

Step-by-step explanation:

For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.

Hope this helps

A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.

Answers

Using vector concepts, it is found that the components of the velocity are given as follows:

North: 205.21 mi/h.East: 563.82 mi/h.

How can a vector be represented in i and j notation?

Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:

[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]

In which:

i is the horizontal(east/west) component.j is the vertical(north/south) component.

In this problem, we have that the magnitude and the angle are given as follows:

[tex]M = 600, \theta = 70^{\circ}[/tex]

Hence the north component is:

[tex]600\cos{70^{\circ}} = 205.21[/tex]

And the east component is:

[tex]600\sin{70^{\circ}} = 563.82[/tex]

More can be learned about vectors at brainly.com/question/24606590

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Find the values of all 6 trigonometric functions for the angle inside right triangle where the opposite side of the angle is 9 cm and hypothenuse of the triangle is 13 cm.

Answers

Answer:

See below

Step-by-step explanation:

Find the missing leg x first using Pythagorean:

[tex]x=\sqrt{13^2-9^2} =\sqrt{169-81} =\sqrt{88}[/tex]

Now the 6 functions, considering angle α opposite to leg with length of 9:

sine = opposite/hypotenuse

sin α = 9 / 13

cosine = adjacent/hypotenuse

cos α = √88 / 13

tangent = opposite / adjacent

tan α = 9 / √88

cotangent = adjacent / opposite

cot α = √88 / 9

secant = hypotenuse / adjacent

sec α = 13 / √88

cosecant = hypotenuse / opposite

csc α = 13 / 9
P=9cmH=13cm

B=

[tex]\\ \sf\longmapsto \sqrt{13^2-9^2}=\sqrt{169-81}=\sqrt{88}\approx9.5[/tex]

Now

[tex]\\ \sf\longmapsto sinA=\dfrac{P}{H}=\dfrac{9}{13}[/tex]

[tex]\\ \sf\longmapsto cosA=\dfrac{B}{H}=\dfrac{9.5}{13}[/tex]

[tex]\\ \sf\longmapsto tanA=\dfrac{P}{B}=\dfrac{9}{9.5}[/tex]

[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{9.5}{9}[/tex]

[tex]\\ \sf\longmapsto secA=\dfrac{1}{cosA}=\dfrac{13}{9.5}[/tex]

[tex]\\ \sf\longmapsto cosecA=\dfrac{1}{sinA}=\dfrac{13}{9}[/tex]

9.
Identify the point corresponding to Q.

IT'S NOT A. Q' (-3, -4)

A. Q′ (−3, −4)

B. Q′ (−4, 1)

C. Q′ (−1, −4)

D. Q′ (−4, −3)

Answers

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Assignment Goal:
Describe the motion of a rocket using a quadratic model.
Instructions:
Respond to each of the questions. Your solutions must document all of your work.
Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec.
Use the general formula for the vertical position (height) of an object moving under the influence of gravity s=-1/2 gt^2+ v_0 t+ s_0 where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object.

1. Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2.

Answers

Answer:

Your question is a little unclear if it wants meters or feet because it has everything listed in nicely feet then you say "(in meters)" at the bottom.

If it wants feet, the answer is

[tex]s=-16t^2+80t+10[/tex]

If it wants meters, the answer is

[tex]s=-4.8768t^2+24.384t+3.048[/tex]

Step-by-step explanation:

To solve, use the quadratic equation.

[tex]y=ax^2+bx+c[/tex]

It wants the x-axis to represent time (t) and the y-axis to represent position (s)

[tex]s=at^2+bt+c[/tex]

It gives us a formula that tells us what a, b, and c equal.

[tex]s=(-1/2)gt^2+v_0t+s_0[/tex]    where g is gravity, v_0 is the initial velocity, and s_0 is the initial starting position.

From here, it is just a plug and chug to get the final answer.

[tex]s=(-1/2)(32)t^2+80t+10\\s=-16t^2+80t+10[/tex]

If it wants everything in meters, just convert feet to meters at every step. You can search to find that 1 meter=3.28084 feet.

Gven: f(x) = 4x +1 and (x)= x^2 + 1.

find (fog)(x)​

Answers

Answer:

Step-by-step explanation:

27836?+_68_729+_8978

a coin is flipped 3 times and lands on heads each time. What is the probability of it landing on tails on the fourth flip?

Answers

Answer:

1/4

Step-by-step explanation:

since the dice would be rolled 4 times, and the dice rolled heads 3 times, the probability of the coin land8ng of tail on the 4th flip is 1/4

The probability of it landing on tails on the fourth flip will be 1/4.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that a coin is flipped 3 times and lands on heads each time. The probability of getting head on the fourth flip will be:-

Probability = Number of favorable outcomes / Number of sample

Number of favorable outcomes = tails = 1

Number of samples = 4

Probability  = 1 / 4

Therefore, the probability of it landing on tails on the fourth flip will be 1/4.

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Please take a look at the picture

Answers

Answer:

I think it'

is A and B

Step-by-step explanation:

hope hwlps

The price was reduced from two thousand, four hundred ninety-eight dollars to one thousand, nine hundred ninety- nine dollars. By how much was the price reduced?​

Answers

Answer:

$499

Step-by-step explanation:

Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.

2489-1999=499

(When you get your answer,make sure to add the dollar sign.)

The price was reduced by $499.

Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?

Answers

Answer:

Step-by-step explanation:

300(0.70) + 200(0.95) = (300 + 200)x

                             400 = 500x

                                  x = 0.80

                                          80%

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