how to find the domain of a function​

Answers

Answer 1

Answer: For the numerator, we know we have to have a positive number in the expression for ln. Therefore, 0">x−2>0, which means 2">x>2. Combining these, we get the domain of the function is all positive values for x which are greater than 2. In interval notation, this is simply (2,∞).

Step-by-step explanation:


Related Questions

please answer the questions.​

Answers

Answer:

1. 9 numbers (27, 36, 45, 54, 63, 72, 81, 90, 99)

2. 122 square cm

Step-by-step explanation:

break the shape into 2, find area of each, add those areas together

The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?


A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.

Answers

Answer:

100π in3

Step-by-step explanation:

I took the test

Answer:

V= 100 π ^3

Step-by-step explanation:

V= π r^2 h/3

13^2 = 5^2 + h^2, h=12

V=π 5^2 12/3

V=π. 25. 4

V= 100 π ^3

Adrian is drawing a map to show the directions from his house to his grandmother's house. He uses a scale of 1 1/2
inches represents 12 miles. If the distance from his house to his grandmother's house is 36 miles, how long is the drawing
on the map?

Answers

It’s going to be 4 1/2 inches.
36/12=3
3x1 1/2=4 1/2

The length of the drawing on the map for 36 miles is given by the equation A = 4 1/2 inches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of miles be = 12 miles

So , 12 miles on the drawing represents = 1 1/2 inches

Now , the number of miles = 36 miles

12 x 3 = 36 miles

And , 36 miles on the drawing represents = 3 x 12 miles on the drawing

Substituting the values in the equation , we get

36 miles on the drawing represents A = 3 x ( 1 1/2 )

On simplifying the equation , we get

36 miles on the drawing represents A = 4 1/2 inches

Hence , the value on the drawing is 4 1/2 inches

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A. A cylinder just fits into a cube of side length 36 m Calculate the percentage
of empty space in the box.

Answers

Answer:

21.5%

Step-by-step explanation:

volume of cube: 36x36x36

volume of cylinder: πx18²x36

Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785

percentage  of empty space: 1 - 0.785 = 0.215  (21.5%)

In an effort to save money, you placed $20 in a jar each month for 2 years. You spent 60% on presents for your family. How much do you have left?

Answers

Answer: $552

(20x12) 2 =480

480 x 0.60 = 228

480-228=552

The line of best fit for a scatterplot is shown what is the equation of this line of best fit in slope intercept form?
(pic provided)
1. y=-6x+3/4
2.y=6x+3/4
3. y=-3/4x+6
4. y=3/4x+6

Answers

Answer:

3. y=-3/4+6

Step-by-step explanation:

The y-int is 6, so you can already cross out the first two answers. Then, you know the slope is negative because the line is going downward, so -3/4 has to be the slope bc it is negative.

Answer:

y=-3/4x+6

Step-by-step explanation:

the y/intercept is (0,6) because that is the point where the line crosses the y-axis

knowing that use the point (0,6) and (4,3) to find the slope use rise over run so it goes up 3 and right 4

using the slope intercept equation y=mx+b  it is y= -3/4+6

it is negative because its going downward

hope this makes sense and helps you guys!

Help please!!!!! Giving extra points!!!!

Answers

Answer:

16

Step-by-step explanation:

Answer:

I think 16...

Step-by-step explanation:

The sides of a regular hexagon is 16ft. What is the area of the hexagon?

Answers

64 squared ft bc if you have one size of the hexagon that is 16 ft you times that by 4 bc you have to multiply all sides to get the area and you should get 64 sq ft if I’m wrong I’m sorry lol

Answer:

665.1

Step-by-step explanation:

The formula for an area of a hexagon is [tex]\frac{3\sqrt{3}}{2}S^{2}[/tex]

the S (side) is 16 so,

[tex]\frac{3\sqrt{3}}{2}16^{2}[/tex]

=[tex]\frac{3\sqrt{3} }{2}256[/tex]

=[tex]3\sqrt{3}[/tex] × 128

= [tex]384\sqrt{3}[/tex]

round to the nearest sq. rt. means that you have to round to the nearest tenth, or 0.1

[tex]384\sqrt{3}[/tex] is 665.10751 as a decimal

665.1 as rounded. Therefore, the area of the hexagon is 665.1 sq ft



Rewrite in simplest terms: 8(-10r - 9) + 9r



Answers

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing?

Answers

Answer:

7.5

Step-by-step explanation:

4 dogs have weights of 5.2 kg, 3.5 kg, 7 kg, and 9.74 kg. What is the total weight of the dogs? What is the average weight of the 4 dogs?

Answers

Answer:

25.14kg is the total weight

Step-by-step explanation:

Answer:

The total weight of the dogs is 25.44 kg

The average weight of the dogs are 25 kg

Step-by-step explanation:

It is right on Egenuity comment if you want another answer and have a good day :)    

How do you find area and perimeter of a rectangle with the side lengths of 5x^2 and 12x?

Answers

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

the measure of AOC is 90 find the value of x, A 30 B 10 C 11

Answers

10

Step-by-step explanation:

3x° + 46° +14°

3*10° + 46 + 14° =90

therefore the value of x is 10

The value of x on the given figure is 10.

Option D is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the figure,

3x + 46 + 14 = 90

Now,

Simplifying.

3x + 60 = 90

Subtracting 60 on both sides.

3x = 90 - 60

3x = 30

Dividing 3 into both sides.

x = 10

Thus,

The value of x on the given figure is 10.

Learn more about expressions here:

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The complete question is given on the attach image.

What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15

Answers

Answer:

d. 8 over 15 = 136 over 15 this is the right answer okay

Help asap will give brainliest

Answers

DAN is right for this question. Hope this helps

Answer:

Graph A is increasing more rapidly, so Dan is correct

2.) Add unlike fractions using the butterfly method.
1 point
c) of the teacups in Lily's Tea Shop, 1/5 are teal and another 1/10 are yellow. What fraction
of the teacups are either teal or yellow?
3/10
5/10
7/10
O 1/10

Answers

Answer:

3/10

Step-by-step explanation:

1/5=2/10

2/10+1/10=3/10

Answer:

ITS 3/10 AND CAN SOMEONE PLS ANSWER MY MOST RECENT QUESTION.

Determine how to translate triangle A'B'C' to triangle ABC.

Answers

Answer:

im not sure how to explain it, but you should look up your workbook on slader then type in the page of the homework you're doing and the answers are right there

Step-by-step explanation:

Please help!!
Will mark brainliest

Answers

y would equal to -5. hope this helps

Does the tablets shown a proportional relationship? If so, what is the value of y when x is 10?

Answers

Answer: Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x=k or y=kx.

HELP ASAP YALL- PLS

Answers

Answer: x = 4

Step-by-step explanation:

since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.

so, i redrew them next to each other, so i could compare them easily.

i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!

so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.

hope this helps! xoxo

Which of the following expressions represents “5 less than 3 times the number m”?

• 3m- 5
• 5m- 3
• 5-3m
• 3-5m

Answers

Answer:

In my opinion it should be 3m - 5

Step-by-step explanation:

How you Can find the area of a composite figure?​

Answers

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

Please help meeeeee, really stuck

Answers

Answer:

30 m²

Step-by-step explanation:

The figure can be divided into two parts.

The top rectangular part with its width as : w= 2m  and length, l= 9 m

The area , A = l * w = 2*9 = 18 m²

The bottom rectangular part has its width as : w= 2m and length , l = 6 m

The area , A = l*w = 2*6 = 12 m²

Total area is given as :

18 + 12 = 30 m²

3. If you buy a new car for $6,000 which depreciates at 4%/year,
what will the value be after 3 years?

Answers

Answer:

$5,308.42

Step-by-step explanation:

(see attached for reference)

recall that the formula for Depreciation

is given by

A = P ( 1 - r)^t,

where

A = final amount

P = principal amount = given as $6,000

r = depreciation rate = given as 4% = 0.04

t = time in years = given as 3,

Simply substitute these into the equation to get:

A = P ( 1 - r)^t

= 6000( 1 - 0.04) ^ 3

= 6000 (0.96)^3

= $5,308.42

yoo someone help asaapp!​

Answers

Answer:

A  76

Step-by-step explanation:

7x+8+7x-2+5x+16+110=360

19x+132=360

19x=228

x=12

∠E=5(12)+16

    =76

Answer:

76. hope it helps.................

If someone gave you 100,000$ dollars, what would you spend it on, and why?

1. ROBUX

2.FORTNITE VC

3. 2K 21 VC

Or 100,00$ for a house and car + own a Resturant

Answers

Answer:

I would use it for a house, car, and own rhe restaraunt

Answer:

House+Car+restaurant

Step-by-step explanation:

Imagine being such an addict that you spend it on a video game tho

ez points :)

BRAINLIEST PLSSSSS

The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?

Answers

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

34 out of the 68 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders?

Answers

Answer:

50%

Step-by-step explanation:

34/68=0.5=50%

Answer:

50%

Step-by-step explanation:

because yes

In triangle PQR, PQ = 8 cm, QR = 6 cm, and mZPQR = 30°.
Exactly how long is PR?
P
8 cm
30°
6 cm
R

Answers

Answer:

PR = 10

Step-by-step explanation:

Pythagoras

hypotenus ² = base² + attitude ²

substitution ; PR² = 6²+8²

PR² = 100

PR = √100

So, PR = 10

hope it helps you ☺️

PLZ ANSWE ASAP ASAP ASAP LIKE RN ASAP PLZ PLZ

Answers

Answer: Kris's bike

Step-by-step explanation:

KRIS 297/4.5 = 66 gallons per mile

JAKE 366/6 = 61 gallons per mile

BEN = 265.2/5.2 = 52 gallons per mile

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write 20 weakness as you a student HELP THIS IS DUE FOR TODAY's WORK In a high school basketball game, Sarah scored 19 points in the first half of the game. In the second half, Sarah scored only 3-point shots. Sarah scored a total of 37 points during the entire game. How many 3-point shots did Sarah make in the second half?Group of answer choices181946 Benita is studying the erosion of soil after a heavy rainfall. She observes that rainwater washes away very little soil from areas under large trees. Which of the following best explains why? Read the excerpt from "Husky-The Wolf Dog of the North."Nor has this neglect been due to their being but the humble servants of the master, man. They are far from humble,as their wild ancestry attests. They may be beaten into submission, but that will not prevent them still snarling theirhatred.Which best states the central idea in this excerpt?Huskies are humble servants to their masters.Huskies are too wild to work with man.Huskies remain wild even when serving manHuskies can only be managed with violence. Which has the greater volume?A. woodB. white blockC. equalws select all the expressions that have the same value as Complete the Short Story Guide in preparation for the assignment and your Discussion-Based Assessment. Write a well-reasoned essay in which you respond to one of the following quotations. In your response, take a position (whether you agree or disagree) and use evidence from the story, real life, and one other short story or novel you have read to support your perspective. There is no right or wrong response; instead, your instructor will be evaluating your depth of thought and the strength of your evidence and explanations. The total charge for a yearly internet DVD rental membership is $231. A registration fee of $15 is paid up front , and the rest is paid monthly. Write an equation to determine how much new members pay each month, m.How much do new members pay each month,m. What is the value of the 5 in 564,242? My parents have 50/50 custody of me but at my dads is like domestic abuse and emotional abuse. They have a court date in the 11th this month I'm at my moms rn but I don't want to go to my dads tomrrow now there a way legally I can stay with my mom until it's there court case like call child services or somthing and have them say I can live with her for the time being until the court case is How are root cutting prepared A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9cm, 28cm and 35cm. Find the cost of polishing the tiles at the rate of 50p per m^2? Help plz help will mark brainlest plzzzzzzz solve the equation 4x^2-27x-5=-10x to the nearest tenth This function of business focuses on ongoing activities at the business with a focus on running efficiently. graph y= 2/3x-4How do I graph this? Who was Travis writing toin his letter, and why doyou think he addressed itthis way? Select all the fractions that are equivalent to 2.6 Help will make branliest How many orbitals in an atom can have each of the following designations: (a) 1s; (b) 4d; (c) 3p; (d) n=3?