Let f(x)=ln(3x)+2.5
What is the average rate of change of f(x) from 2 to 7?

Answers

Answer 1

Answer:

Step-by-step explanation:

Round your answer to the nearest hundredth.  

−3.99

−0.25

0.25

3.99

(5.5-4.25)/(7-2)

 

This is equal to 0.25.  

 

The final answer is 1/4


Related Questions

What is the median?
3, 5, 7, 7, 7, 8, 9, 9, 10

Answers

Answer:

7 i think

Step-by-step explanation:

pls mark brainliest

Answer:

[tex]7[/tex]

Step-by-step explanation:

find the middle number to get the median

.

data

3, 5, 7, 7, 7, 8, 9, 9, 10

.

the median is 7

A circular plate has circumference 32 inches. What is the area of this​ plate? Use 3.14 for pi. The area of this plate is about nothing square inches.

Answers

Answer: The area of the plate is 81.67 in^2

Step-by-step explanation:

If we have a circle of radius R, the area of this circle can be computed as:

A = pi*R^2

where pi = 3.14

And the circumference is:

C = 2*pi*R

and we know that this is equal to 32 in, then:

32in = 2*pi*R

Now we can isolate R, and we get:

32in/(2*pi) = R

32in/(2*3.14) = R = 5.1 in

Then the area of the plate is:

A = 3.14*(5.1in)^2 = 81.67 in^2

According to a survey of​ workers, 5/50
of them walk to​ work, 4/50
​bike, 20/50
​carpool, and 9/50
alone. What percent of workers walk or bike to​ work?

Answers

Answer:

45 percent like to walk or bike

Step-by-step explanation:

17. Find the value of x. Round to the nearest degree.

Answers

Answer:

51. Don't completely know if it's correct though.

Step-by-step explanation:

I'd use sine, which is opposite side/hypotenuse. Here, I think the reference angle is x. The opposite side is 7, and the hypotenuse is 9. So...

sin(x) = [tex]\frac{7}{9}[/tex]

sin(x) = 0.7777

Next we use inverse sine.

sin⁻¹(0.7777) = approximately 51

The value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the hypotenuse side is equal to the sine angle between adjacent side and hypotenuse, side.

[tex]\sin\theta=\dfrac{b}{c}[/tex]

Here, (b) is the opposite side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between adjacent side and hypotenuse, side.

In the given figure, the hypotenuse side is 9 units long and opposite side is 7 units long.

The angle between adjacent side and hypotenuse is x degrees. Thus, by the right angle triangle property,

[tex]\sin x=\dfrac{7}{9}\\x=\sin^{-1}(0.778)\\x\approx51^o[/tex]

Hence, the value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

wich is the correct?​

Answers

Answer:

c

Step-by-step explanation:

A swimmming pool with cylindrical base has a diameter of 21 feet and a depth of 5 feet. Find the volume of the pool

Answers

Answer: V = 1731.8Ft³

Step-by-step explanation:

v = πr²h

Radius is half of the diameter ⇒ 21/2 = 10.5

V = π(10.5)²(5)

V=π(110.5)(5)

V = π(551.25)

V = 1731.8Ft³

The solution is : the volume of the pool is V = 1731.8Ft³.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

we know that,

the volume of the cylinder is:

v = πr²h

Radius is half of the diameter

⇒ 21/2

= 10.5

so, we get,

V = π(10.5)²(5)

V=π(110.5)(5)

V = π(551.25)

V = 1731.8Ft³

Hence, The solution is : the volume of the pool is V = 1731.8Ft³.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, 10​% are pennies and 36​% are dimes. There are 4 more nickels than pennies. How much money does the bag​ contain?

Answers

If my calculations are correct it’s $6.80

I need the answer to this

Answers

Answer:

parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;

A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area.

Answers

Answer:

Step-by-step explanation:

Area Triangles

Area = 1/2 b * h

In a right triangle the two smaller sides are used to find the area

A = 1/2 6 * 4.5

A = 1/2 * 27

A = 13.5

But there are 2 of them so that the area = 2* 13.5 = 27

Area Front side

Area = L * w

L = 13

w = 6

Area = 13 * 6

Area = 78

Area Back side

Area = L * W

Area = 4.5 * 13

Area = 58.5

Bottom  Area

Area = L * W

L = 13

W = 7.5

Area = 13 *  7.5

Area = 97.5

Total Area = 58.5 + 78 + 27 + 97.5

Total Area = 163.5 + 97.5

Total Area = 261

im feeling generous. entertain me

Answers

Answer:

-,-

Step-by-step explanation:

There are two hunters and one of them classes and he calls 911 immediately and they answer and continue saying what is your emergency and he responds with my friend is dead and then the operator continue saying first let’s make sure that he stay and then some moments of silence go by and a gunshot is heard and then he responds saying what now

Find the value of the variables in the table.

x

n

4

6

10

12

y

1

9

m

21

25

Answers

Answer:

n=0 , m= 13 A

Step-by-step explanation:

In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortes days of the year vary by 2 hours 53 minutes from the equinox. In this year the equinox falls on March 21. In this task you'll use a trigonamic function to model the hours of daylight hours on certain days of the year in New York City

Answers

Question:

In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The  longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox.  In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function  to model the hours of daylight hours on certain days of the year in New York City.

- Find amplitude and the period of the function

- Create a trigonometric function that describes the hours of sunlight for each day of the year

- Then use the function you built to find how fewer daylight hours February 10 will have then March 21

Answer:

(a)

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

(b) Trigonometry function

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

(c) [tex]Hours= 1.794[/tex]

Step-by-step explanation:

Given

[tex]Average\ Sunlight = 12hr\ 8 min[/tex]

[tex]Variance = 2hr\ 53min[/tex]

Solving (a): Amplitude (P) and Period (T)

The amplitude is the amount of time the longest and the shortest day vary.

So

[tex]A = 2\ hr\ 53\ min[/tex]

Convert to hours

[tex]A = 2\ + \frac{53}{60}[/tex]

[tex]A = 2+0.883[/tex]

[tex]A = 2.883[/tex]

The period (T) is the duration i.e 1 year

[tex]T = 1\ year[/tex]

Assume no leap year

[tex]T = 365[/tex]

Solving (b): Trigonometry function

The function follows a sinusoidal pattern and the general form is:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

Where

[tex]\mu = Average\ Value[/tex]

[tex]\mu = 12\ hr 8\ min[/tex]

Convert to hours

[tex]\mu = 12 + \frac{8}{60}[/tex]

[tex]\mu = 12 + 0.133[/tex]

[tex]\mu = 12.133[/tex]

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

[tex]n = Equinox[/tex]

[tex]n = March\ 21[/tex]

[tex]March\ 21st = 80th\ day[/tex]

So:

[tex]n= 80[/tex]

The function becomes:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

Solving (c): Fewer daylight hours will Feb. 10 have.

[tex]Feb\ 10 = 41st\ day[/tex]

So:

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])[/tex]

[tex]2\pi = 360^\circ[/tex]

So:

[tex]f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])[/tex]

[tex]f(41) = 12.133 + 2.883sin(-38.466)[/tex]

[tex]f(41) = 12.133 - 2.883*0.6221[/tex]

[tex]f(41) = 10.339[/tex]

The fewer daylight hours is the calculated as:

[tex]Hours= Average - f(41)[/tex]

[tex]Hours= \mu - f(41)[/tex]

[tex]Hours= 12.133 - 10.339[/tex]

[tex]Hours= 1.794[/tex]

Which of the following is a solution to the equation x^3=1/49? x=7^−2/3 x = 7^-3/2 X=7 2/3 This equation has no solution x=7 3/2

Answers

Step-by-step explanation:

x³=1/49

x= third root of 1/third root of 49

x=1/square root of 7

In the evenings, Jake and his friends would cookout and make s'mores for dessert. the ratio of chocolate squares to Graham crackers that they used is shown in the graph below. (repost)

Answers

Answer:

(2,3) also love your profile pic :)

( 2,3 ) I hope this helped you!~ have a great day~

~Keiji❤

Treat yourself well, remember to eat. You are valid. Love you!~

A line segment with both its endpoints on the circumference and which does not pass through the centre of the circle. is what diamater, arc, tangent ,sector, segment, chird , circumference ,centre ir radius

Answers

Answer:

Hi how are you doing today Jasmine

For f(x) = x3 – x2, which gives an output of 48?
O f(-8)
O fl-4)
O f(4)
O f(8)

Answers

Answer:

f(4)

Step-by-step explanation:

The output is the value of f(x) for a given value of x ( the input )

Substitute the given values of x into f(x) to determine the output, that is

f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48

f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48

f(4) = 4³ - 4² = 64 - 16 = 48

Thus f(4) gives an output of 48

f(4) gives an output of 48

Which of the following inequalities represent the number line below?

I NEED HELPPPPPPPPPPPPP

Answers

X is less than or equal to 2000

this sign “<“ with the line up under it
the opening of < means greater than

What percent of 15y is 75?

Answers

Answer:

20%

Step-by-step explanation:

because 15/75×100 =1/5×100=20%

Answer:

Step-by-step explanation:

x% of 15y = 75

x% =75/(15y) = 5/y

x = 500/y

Always true, sometimes true, never true.

1) the centroid of a triangle is a point where the medians intersect.

2) a line of reflection is also a line of symmetry

3) a figure with rational symmetry can be rotated x degrees about a one of its vertices and the resulting image lines up perfectly with the original image.

4) the centroid of a triangle is located inside the triangle

5) all points on the angle bisector of
6) if there exists a transformation that takes triangle QRS to triangle XYZ then the triangles are congruent

7) the inscribed circle of a triangle intersects all three of the triangles vertices.

_______________________

TRUE OR FALSE:

8) the base is the length of the altitude

9) a median of a triangle cuts the original triangle into two smaller triangles, each of whose area is half of the original triangle

10) the circumscribed circle lies inside the triangle and touches each of the sides

11) the incenter of a triangle is a point where the angle bisectors intersect

I really need help on these ASAP, thank you!!

Answers

Answer: the answers for numbers 1,2 and 4 are all true :)

1: True

2: True

4: True

Which has opposite sides parallel and congruent?

Answers

9514 1404 393

Answer:

  (d)  parallelogram, rectangle, rhombus, and square

Step-by-step explanation:

Any form of parallelogram has opposite sides parallel and congruent. A trapezoid does not match that description.

A rectangle, rhombus, or square will be a parallelogram.

i need help with this

Answers

Answer:

the second one

Step-by-step explanation:

When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8

State the slope and y-intercept of the graph of y = 1/5x – 7.

Answers

Answer:

The slope is 1/5 and the y-intercept is -7

Step-by-step explanation:

In point-slope form (y = mx + b), m is the slope and b is the y-intercept.


Which is greater
30% of 30 or 28% of 32 ?
You must show your working.

Answers

Answer:

30% of 30 = 9

28% of 32 = 8.96

Step-by-step explanation:

0.30 x 30 = 9

0.28 x 32 = 8.96

Answer:

30% of 30 > 28% of 32

Step-by-step explanation:

30% of 30:

0.3 x 30 = 9

28% of 32:

0.28 x 32 = 8.96

9 > 8.96

simplify 32q2r2/4q3r

Answers

Answer: 16q5r2

Step-by-step explanation:


Solve the following equation 2x
2
−3=0
1

Answers

Answer:

true

Step-by-step explanation:

Can someone please help me answer this question

Answers

Answer:

1) 15

2) 10

3) 11

4) -4

5) -8

6) 12

7) 14

8) -6

Step-by-step explanation:

plug the values given into each equation for example

1) 2c - d at c=6, d=-3

2(6) -(-3) = 12 + 3 = 15

Segment AE is congruent to segment EB
Segment DF is congruent to segment FC
Segment AD is parallel to segment BC
Segment AB is not parallel to segment CD
AD=(x^2+2) inches
EF= (5x-36)inches
BC=(x^2+4) inches

Answers

EF for sure u got to really pay attention to the inches

Anyone who can help please help me

Answers

Answer:

Step-by-step explanation:

it surprises me  you can't do these  yourself  :/  do you not understand percent's?  what makes this tough for you ?

1) y = 0.12x

2) y = 0.25x

3) y = 0.6x   ( repeating so the 6 has the line over it )

4) y = 0.833 ( repeating so the 3s has the line over them )

what is the y-int of the curve

Answers

Answer:

The y-intercept is (0,3)

Step-by-step explanation:

Can you make a triangle?
8, 2,8

Answers

Answer:

Step-by-step explanation:

yep

Other Questions
8 over 9 + 7 over 9 bjf help guys pls 22x+13x+1 SOMEONE HELP PLS THIS IS DUE AT 11:59 ITS 10:29 I have most of it done but I dont know what 4000 divided by 12 is every time I say the right answer it says its wrong lol. PLSSS HELP I GIVE BRAINLIEST A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to make the probability of drawing a white marble 1/3? Please help! Thank you :) Solve x+3=9 what is the answer 4) What made the war difficult for the US army and troops fighting in the war? a. The jungle conditions b. Ambushes and traps c. All of the above d. None of the above Explain: Zoe says that a box that is 1 unit wide, 2 units long, and 3 units tall has agreater volume than a box that is 2 units wide, 3 units long, and 1 unit tall Is shecorrect? Explain your answer does 10cm, 30cm, and 15cm form a triangle???? Your family plans to start a small business in your neighborhood. Your father borrows $10,000 from the bank at an annual interest rate of 8% rate for 36 months. What is the amount of interest he will pay on this loan? Here is an expression: (7x + )34. Evaluate the expression when x is 0.Anwser:5. Evaluate the expression when x is .Answer: URGENT: What European country was in control of most of the Western Hemisphere prior to the Atlantic Revolutions?FrancePortugalEnglandSpain what is the supplementary angle of 91.1 drgrees Several years ago, Junior acquired a home that he vacationed in part of the time and rented out part of the time. During the current year Junior: Personally stayed in the home for 22 days. Rented it to his favorite brother at a discount for 10 days. Rented it to his least favorite brother for 8 days at the full market rate. Rented it to his friend at a discounted rate for 4 days. Rented the home to third parties for 58 days at the market rate. Did repair and maintenance work on the home for 2 days. Marketed the property and made it available for rent 150 days (but did not rent it out) during the year, in addition to the days mentioned above. How many days of personal use and how many days of rental use did Junior experience on the property during the year Help me please in need There are 5 4/11 pounds of green apples. There are 3 2/3 times as many red apples. How many pounds of red apples are there? 15 8/33 19 2/3 1 3/16 3 1/16 Pio is paid $7.50 per hour for the first 46 hours he works in a week. He is paid time and halffor every extra hour worked. How much is Jeanette paid if he works for 51 hours in a week? Communication breakdowns can happen with team members who _____.have different morals and valueshave common goalsshare information with the entire teamlisten carefully when a co-worker is talking Please help taking test rn (12 points)Drop down1: Close priceOpen priceVolumeDrop down2:DayMonth