how do you find the rate of change for a function over a given interval

Answers

Answer 1

Step-by-step explanation:

Differentiate it. You will be given a value of x. Substitute into the differentiated equation use the formula for rate of change. You will find the answer

Formula:

[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]


Related Questions

Which inequality is true?
А. Зп > 9
B. 7 + 8< 11
C. 27 -1 < 5
D. 2 > 2
SUBMIT
< PREVIOUS

Answers

9514 1404 393

Answer:

  А. Зп > 9

Step-by-step explanation:

The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.

¿Qué pasó en La Noche Triste?​

Answers

Step-by-step explanation: La Noche Triste (Spanish for "The Sad Night") was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. ... Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Location: Tenochtitlan

End date: July 1, 1520

Date: June 30

Answer:  was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Step-by-step explanation:

Delia bought 32 fluid ounces of fruit juice. How many gallons of juice did she buy?


A. 1
B. 0.5
C. 0.25
D. 0.2

Answers

Answer:

the answer is C. 0.25.

Step-by-step explanation:

simply converting the fluid oz into gallons.

The answer is c. 0.25

Which summation properties or formulas must be used to evaluate this summation? Check all that
apply

Answers

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

Which completely describes the polygon ? equilateral equiangular regular congruent

Answers

Answer: C) regular

Explanation:

Any regular polygon is both equilateral and equiangular.

Equilateral = all sides are equal

Equiangular = all angles are equal

10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1​

Answers

Compare to the divergent series,

[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]

Then by the limit comparison test, the given series also diverges, since the limit

[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]

is positive and finite.

HELP THIS IS FOR MY FINAL GRADE

Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?

Answers

Answer:

Ida makes $ 6960 in 5 weeks.

Step-by-step explanation:

Let the profit of the first week is p.

p = $ 600

Total profits of the five weeks

= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)

= 11 p + 0.6 p

= 11 x 600 + 0.6 x 600

= 6600 + 360

= $ 6960

So, Ida makes $ 6960 in 5 weeks.

pls help me do this question but pls don't get it wrong this is my last attempt ​

Answers

Answer:

y ≤ 5

Step-by-step explanation:

5 is the highest y value in this graph. All other y values are below 5.

3p(2p - 9) - 2p(-9 + p)​

Answers

Answer:

4p² - 9p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3p(2p - 9) - 2p(-9 + p)

Step 2: Simplify

[Distributive Property] Distribute 3p:                                                               6p² - 27p - 2p(-9 + p)[Distributive Property] Distribute -2p:                                                             6p² - 27p + 18p - 2p²[Subtraction] Combine like terms (p²):                                                            4p² - 27p + 18p[Addition] Combine like terms (p):                                                                   4p² - 9p
3p(2p-9)-2p(-9+p)
6p -27p -2p^2+12p
4p^2 -27p+18p
Combine like terms
Your answer is 4p^2 -9p

Find the surface area of the prism. 13 in. 3 in 7 in.​

Answers

Answer:

182+78+42=302 ... 302's ya answer...Give me brainiest answer to say ty! :)

Step-by-step explanation:

I just need to know what is m=

Answers

Answer:

- 2

Step-by-step explanation:

Given :

Point A = (-1, 4)

Point B = (1, 0)

x2 = - 1 ; y2 = 4 ; x1 = 1 ; y1 = 0

Rise = (y2 - y1) = 4 - 0 = 4

Run = (x2 - x1). = - 1 - 1 = - 2

Slope = Rise / Run = 4 / - 2 = - 2

The slope, m = - 2


[tex] {x}^{2} + \sqrt{x} + \sqrt[5]{x} [/tex]
what is f'(3) of this equation?​

Answers

Answer:

[tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]

Step-by-step explanation:

Just to make it easier to see, [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex] and [tex]\sqrt[5]{x} = x^{\frac{1}{5} }[/tex]  This way we could more easily use the power rule of derivatives.

So if f(x) = [tex]x^{2} +x^{\frac{1}{2} } +x^{\frac{1}{5} }[/tex] then f'(x) will be as follows.

f'(x) = [tex]x^{1} +\frac{1}{2} x^{-\frac{1}{2} } +\frac{1}{5} x^{-\frac{4}{5} } = x +\frac{1}{2x^{\frac{1}{2} }} +\frac{1}{ 5x^{\frac{4}{5} }} = x +\frac{1}{2\sqrt{x}} +\frac{1}{ 5\sqrt[5]{x^4} }[/tex]

to find f'(3) just plug 3 into f'(x) so [tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]

Which rule explains why these triangles are congruent?

Answers

SSS
hope this helps!!

If a equals B andB equals C which statement must be true?

Answers

Answer:

A=B=C... wouldn't both B and C be equal to A? Also I can't see the statements.

B equals c is the correct answer of this.

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Kyle, Carol, and Adam are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:

1 / 1365

Step-by-step explanation:

Given that :

Number of employees to choose from = 15

Number of employees to be chosen = 4

Probability of choosing You, Kyle, Carol and Adam

Recall ;

P(A) = number of required outcome / Total possible outcomes

Number of required outcome = 4C4

Total possible outcomes = 15C4

nCr = n! ÷ (n-r)!r!

Using calculator to save computation time :

15C4 = 1365

4C4 = 1

P(choosing you, Kyle, Carol and Adam) :

1 / 1365

The quotient of 17 and k

Answers

Answer:

17/k

Step-by-step explanation:

Quotient means division

17/k

Answer:

[tex] \frac{17}{k} [/tex]

Step-by-step explanation:

Quotient means a result obtained by dividing one quantity by another.

Hope it is helpful...

PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!

Answers

Answer:

Step-by-step explanation:

you have two disks, and one rectangle

area of the disk = π [tex]r^{2}[/tex]

47 π x 2 = 94 π (for the two disks....

rectangle area = L x W

width = 14

Length = 2*π*r = 14π

area = 14*14π = 196 π

total = 196 π + 94 π = 290 π

Answer:

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for the surface area of a cylinder is this :

[tex]A = 2\pi rh+2\pi r^{2}[/tex]

"R" is 7, and "h" is 14. Knowing these values, let's solve.

[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest! :)

b b
A jar of her 'low-sugar' jam contains 102 grams of sugar.
What is the percentage of sugar in her 'low-sugar' jam?

Answers

Answer:

[tex]\% Low = 30 \%[/tex]

Step-by-step explanation:

Given

[tex]Total = 340g[/tex] -- missing

[tex]Low = 102g[/tex]

Required

% of sugar in Low

This is calculated as:

[tex]\% Low = \frac{Low}{Total} * 100\%[/tex]

So, we have:

[tex]\% Low = \frac{102g}{340g} * 100\%[/tex]

[tex]\% Low = \frac{102}{340} * 100\%[/tex]

[tex]\% Low = \frac{10200}{340} \%[/tex]

[tex]\% Low = 30 \%[/tex]

The y value is two less than twice the x-value

Answers

Candice .... who’s Candice...alll .for nothing at all

A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)

Answers

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

what are the prime factors of the greatest 4 digit number?​

Answers

Answer:

The prime factors of the greatest 4 digit number are 3, 11 and 101.

Step-by-step explanation:

Hope it helps

The prime factors of greates 4 digit is 3,11 101

Use the Pythagorean theorem to find the value for ( show work )

Answers

Answer:

x = 12

Step-by-step explanation:

x^2 + (x - 7)^2 = (x + 1)^2

x^2 + x^2 - 14x + 49 = x^2 + 2x + 1

x^2 - 16x + 48 = 0

(x - 4)(x - 12) = 0

x - 4 = 0 or x - 12 = 0

x = 4 or x = 12

One side has length x - 7.

For x = 4, x - 7 = 4 - 7 = -3.

Since a side of a triangle cannot have a negative length, x = 4 must be discarded.

Answer: x = 12

Find the difference,
(20m+ 3) - (7m - 5)
A. 27m - 2
B. 13m +8
C. 27m +8
D. 13m - 2
SUBMU

Answers

Answer:

B 13m+8

Step-by-step explanation:

(20m+3) - (7m-5)

20m+3-7m+5

13m+8

The answer is B. 13m+8

Construct the 90% confidence interval for the proportion of students at the college who have completed their required English 101 course. Enter your answers as decimals (not percents) accurate to three decimal places. The Confidence Interval is

Answers

Answer:

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.

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

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.

Please help me!!!!!!!!

Answers

Answer:

fraction is 75/100

decimal is 0.75

Step-by-step explanation:

because there are 75 of them that are shaded out if 100 so 75/100 and to find out in decimal 75÷100=0.75.

hope this helps u understand:)

the data below shows.the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.

a. draw an ordered stem and leaf plot for the data.

b. revealed when answer a is complete.

Answers

Answer:

13 cars per day

Step-by-step explanation:

64 - 51 = 13 cars per day

hope it helps

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1 4 D. 4​

Answers

Answer:

-4

Step-by-step explanation:

If the lines are parallel, then they have the same slope.

If the green line has a slope of -4, then the red line has a slope of -4

What is the approximate circumference of a circle with a radius of 4?
1. 12.57
2. 25.13
3.50.27
4. 16

Answers

The answer to this question is 25.13

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 4.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The approximate circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]

2.) 25.13

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]

Therefore, the circumference of the circle is ≈ 25.13.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

What is the volume of the cylinder shown below?
Your response should show all necessary calculations and diagrams.

Answers

Answer:

126cm^2

Step-by-step explanation: brainliest pleaseeee!!!!

what is 5a +14=3(a +2)​

Answers

Answer:

a=-4

Step-by-step explanation:

See image below:)

This is my workings
Other Questions
Identify complementary angles in the given figure. Enterprise mashup technology does not provide a mechanism to easily customize and share knowledge throughout the company.a. Trueb. False Problems and Applications Q6 The price of coffee fell sharply last month, while the quantity sold remained the same. Five people suggest various explanations: Sean: Demand decreased, but it was perfectly inelastic. Yvette: Demand decreased, but supply was perfectly inelastic. Bob: Demand decreased, but supply increased at the same time. Cho: Supply increased, but demand was perfectly inelastic. Eric: Supply increased, but demand was unit elastic. Who could possibly be right Nobelium-259 has a half-life of 58 minutes. If you start with 2,000 grams of nobelium -259how long will it take to have 125 grams of nobelium- 259 left in the sample ? Which is not an accurate definition of history?1.the story of change over time documented with evidence2.an account of the impact of human behavior on the environment3.an explanation of the past through the telling of stories of what actually happened and why Given the system of equations below, identify the solution values. x y = 3 xy=3 7 What does this mean in terms the status of men compared to women at the time? you contribution if i hire you Choose all of the symbols that make the following sentence true.4 ^0 ___ 5 ^-1= Which of the following is the range of the function based on the input-outputtable below?Hoursof trainingPayper monthO A. (130, 35, 125, 30, 120, 25, 115)O B. {5, 10, 15, 20, 25, 30, 35)OC. {5, 100, 10, 105, 15, 110,20}OD. 100, 105, 110, 115, 120, 125, 130) Can anyone please help Simplify to a single power of 6: How might you revise sentence 10 to include a noun clause?Select one:O a. Haley's voice had always been nice.O b. Haley had always known that she had a nice voice.Qc. Haley had always had a nice voice, and everyone knew it.O d. Haley's voice, which was very nice, was suited for country music.Clear my choice Evan invested $800 in an account that pays 3.25% interest compounded annually.Assuming no deposits or withdrawals are made, find how much money Evan wouldhave in the account 12 years after his initial investment. Round to the nearest tenth(if necessary). how can i learn japanese faster i need help with this one plz! (marking BRAINLIST) :) for spanish, please help :(.... Which of the following is a scientific question? A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age GroupHours of Sleep 39 or younger 40 or olderFewer than 6 38 366 to 6.9 61 587 to 7.9 76 748 or more 65 92(a) Conduct a test of independence to determine whether hours of sleep are independent of age.(b) What is your estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night? GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK? Supreme Court & other federal court judges are nominated by the president & need to be approved by the Senate. This is an example of..... A.checks & balancesB.separation of powersC.precedentD.original jurisdiction