Page 153
30. A car's value is a function of many things,
including the total mileage on the car. The
following graph illustrates the depreciation of a
car as more miles are driven. Find the value of
f(50,000) and explain its meaning. What is the
range of this function?
Car's valde
$14,000
$12,000
$10,000
$8.000
$6,000
$4,000
$2,000
$0
20,000 40.000 60.000 80.000 100.000 120,000
Mileage

Answer:

50 laps

Step-by-step explanation:

10 laps : 6 minutes

multiply both sides by 5

50 laps: 30 minutes

Answer:

Part A

The work done in pulling the bucket to the top of the well is 1,775 ft.·lb

Part B

By Reimann approximation, the work done is 2,130 ft.·lb

Step-by-step explanation:

Part A

The parameters of the filled bucket of water being pulled upwards are;

The mass of the bucket = 5 lb

The mass of the rope = Negligible

The mass of water that fills the bucket = 38 lb

The rate at which the bucket is pulled up = 1.5 ft./s

The rate at which the bucket leaks, l = 0.15 lb/s

The height in feet above the bottom of the well = x

Therefore, we have;

Height of the bucket, x = 1.5·t

The weight of the bucket after a given time, t, W = 38 - 0.15·t

The time it takes to pull the bucket to the top of the well, t = d/v = 50/1.5 = 100/3 s. = [tex]33.\overline3[/tex] s

We have;

[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {F} \, dx[/tex]

x = 1.5·t, F = Weight of the bucket, W = 38 - 0.15·t

[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {(38-0.15\cdot t)} \, \cdot 1.5\cdot dt = \int\limits^{t = 33.\overline 3}_{t = 0} {(57-0.225\cdot t)} \, dt[/tex]

[tex]W = [57\cdot t - 0.225 \cdot t^2]_0^{33.\overline 3}[/tex]

Therefore, we have;

W = (57 × [tex]33.\overline3[/tex] - (0.225/2) × [tex]33.\overline3[/tex]²) - 0 = 1,775 ft.·lb

The work done in pulling the bucket to the top of the well, W = 1,775 ft.·lb

Part B

By summing the areas of the rectangular areas on the graph, we have

W = 10 × 38 + 10 × (38 - 0.1×10) + 10 × (38 - 0.1 × 20) + 10 × (38 - 0.1 × 30) + 10 × (38 - 0.1 × 40) + 10 × (38 - 0.1 × 50) = 2,130

Therefore, by left Reimann approximation, the work done, W = 2,130 ft.·lb

(More precisely, we have;

The weight at the bottom, F₁ = 38 lb.

The weight at the top of the well, F₂ = 38 - 0.15 × 100/3 = 33

∴ F₂ = 33 lb.

The average weight, [tex]F_{average}[/tex] = (F₁ + F₂)/2 = (38 lb. + 33 lb.)/2 = 35.5 lb.

Therefore, the work done,  [tex]F_{average}[/tex] × d = 35.5 lb × 50 ft. = 1,775 ft.lb

The work done, W = 1,775 ft.lb)

Answer:

Answer is 3/50

Step-by-step explanation:

I hope it's helpful!

Answer:

The answer is

'The range of the data for girls is less than the range of the data for boys'

I'm don't know dfhgh fhfghfg hgf hgfh

Answer:

250

Step-by-step explanation:

Take the part (85) and put it over 34% like a fraction.

85  x

34  100

Then do 85 times 100

8500

Then divide it by your percent (34)

8500/34=250

Answer:

12 or 13

Step-by-step explanation:

one of the two from my knowledge

Answer:

y = 11.82

Step-by-step explanation:

use cos:

⇒ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

⇒ cos 10 = [tex]\frac{12}{y}[/tex]

cos of 10 is 0.9848

⇒ 0.9848 =  [tex]\frac{12}{y}[/tex]

multiply 12 on both sides

⇒ 0.9848 x 12 =  [tex]\frac{12}{y}[/tex] x 12

⇒ 11.82 = y

Answer:

Rock layers only (I think this is correct from the searches I've made)

Answer:

=5/6

Step-by-step explanation:

happy to help ya :)

Answer:

-60z - 48

Step-by-step explanation:

Is your expression.

Answer:

a. 0.48

b. The 96% confidence interval for p is (0.457, 0.503).

Step-by-step explanation:

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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.

This means that [tex]n = 2000, \pi = \frac{960}{2000} = 0.48[/tex].

This is the answer for question a.

96% confidence level

So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503[/tex]

The 96% confidence interval for p is (0.457, 0.503).

Answer:

5.25

Step-by-step explanation:

7x3 = 21

21/4 = 5.25

Answer:

5 1/4

Step-by-step explanation:

Answer: Numbers 1 and 5.

Step-by-step explanation:

It will take Taylor alone 15 hours to complete the work alone.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.

We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -

f + s = 1050

f - 80 = s

Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -

f + s = 1050

f - 80 = s

To solve more questions on system of equations, visit the link-

brainly.com/question/29014197

#SPJ2

Answer:

prove that opposite sides are congruent and parallel

Step-by-step explanation:

i took the testtttttt

The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.

We are given that;

The quadrilateral ABCD

Now,

A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.

For example, if the slope of AB is m, then the slope of BC is -1/m.

Also, a rectangle has opposite sides that are equal in length,

which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.

Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

To learn more about quadrilateral visit;

https://brainly.com/question/29934440?referrer=searchResults

#SPJ4

We can see both terms have a (x-2) in them.

We can also see that 8 and 2 are both even so there is a 2 in common.

This means that the gcd or hcf or whatever you call it is 2(x-2)

**Just mentioning most of the time we call it the GCD(greatest common divisor) or the GCF(greatest common factor) and almost never uses hcf :)

Answer:

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.^{} ly/3a8Nt8n

Thea answer B) (x, y) → (4x, 4y)

Answer:

B

Step-by-step explanation:

i took test

Answer:

$519.43

Step-by-step explanation:

bc it is

Answer:

can you please write the expression with the mathematical symbols. I can't understand what you mean by (^). do you mean that number is raised to that symbol or are you're trying to multiply. if you don't know how to write exactly how it's given, attach a picture of your question.

Step-by-step explanation:

Answer:

sorry I cannot help

Step-by-step explanation:

I will try after some time to help u....LOL

enjoy

Answer:

The answer is 2/5

Step-by-step explanation:

2/5+2/5=4/5=2/5

Answer:

6

Step-by-step explanation:

o o o o

3+2+1 = 6

Answer:

p(-4) = -134

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

p(x) = x³ - 3x² + 7x + 6

p(-4) is x = -4

Step 2: Evaluate

Answer:

(0,16) I am pretty sure

Step-by-step explanation:

Answer:

12-3y-2x+x+2x = x-3y+12

3x+2y-2x+y+12 = x+3y+12

4y+3y+3x-6y-10-2 = 3x+y-12

x+3y+2x-3x+7+5 = 3y+12        

Step-by-step explanation:

Step-by-step explanation:

x = 65° ----- ( verically opposite Δ )

Answer:

8

Step-by-step explanation:

When you have two negative signs next to each other, they turn into an addition sign. So, 1-(-7) = 1+7 = 8.

Hope this helps and please mark this as brainliest!

Answer: 8

Step-by-step explanation:

First, take the equation

1-(-7)

Now due to the fact that a subtraction sign is next a negative sign, they cancel each other out

The equation will now be

1+7

which will equal

8

Answer:

a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

b) 0.0009 = 0.09% probability that none of the three will be filled correctly

c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly

e) 0.0082 = 0.82% probability that only your order will be filled correctly

Step-by-step explanation:

For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The percentage of orders filled correctly at Burger King was approximately 90.5%.

This means that [tex]p = 0.905[/tex]

You and 2 friends:

So 3 people in total, which means that [tex]n = 3[/tex]

a. What is the probability that all the three orders will be filled correctly?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]

0.7412 = 74.12% probability that all the three orders will be filled correctly.

b. What is the probability that none of the three will be filled correctly?

This is P(X = 0).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]

0.0009 = 0.09% probability that none of the three will be filled correctly.

c. What is the probability that one of the three will be filled correctly?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]

0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d. What is the probability that at least one of the three will be filled correctly?

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

With what we found in b:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]

0.9991 = 99.91% probability that at least one of the three will be filled correctly.

e. What is the probability that only your order will be filled correctly?

Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So

[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]

0.0082 = 0.82% probability that only your order will be filled correctly