the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1. Then λ belongs to (0,1).
In the given question, if λ∈R and the domain of f(x) = [tex]\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}[/tex] is [1,2)∪(2,3], then λ belong to
The given function is
f(x) = [tex]\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}[/tex]
The function is belong in between [1,2)∪(2,3]. So
|x-2| ≠ 0 and |x| > 0
x ≠ 2 and x > 0
Since the value of x can not be equal to 2 and x value is always greater than 0. So
[tex]log_{\lambda}|x-2|\geqslant 0[/tex]
The value of |x-2| should be lies between 0 and 1 because x cannot be equal to 2 and greater than 1.
So 0< |x-2| < 1
If the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1.
Hence, 0 < λ < 1.
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The scatterplot shows the relationship between the daily high temperature and the number of people swimming in the community pool.
People Swimming
in Pool
у
Number of People Swimming
Temperature (°F)
Based on the scatterplot, approximately how many people will be swimming in the pool on a day when the high temperature is 77°F?
А
50
B
25
С
35
D
10
Answer:
C
Step-by-step explanation:
X-Axis goes by 4, so 77° falls around the 30-40 area.
What is the image point of ( − 7 , 5 ) after a translation right 5 units and up 4 units?
Pls I added 20 points
Answer:
(-2,9)
Step-by-step explanation:
I need your help asap
1 - d
2 - e
3 - a
4 - c
Hope this helps!
What are the equations for the horizontal and vertical lines through (−2, 0)?
A. horizontal y = 0, vertical x = −2
B. horizontal y = 0, vertical x = 2
C. horizontal y = −2, vertical x = 0
D. horizontal y = 2, vertical x = 0
Given a triangle with a = 19, A = 43°, and B = 26° , what is the length of c? Round to the nearest tenth.
Answer:
The length of side c would be 26.0.
Step-by-step explanation:
Answer:
A) 26
Step-by-step explanation:
Jane moved from a house with 72 square feet of closet space to an apartment with 44.64 square feet of closet space. What is the
percentage decrease of Jane's closet space?
A. 30%
B.62%
C.38%
D.61%
Answer:
c. 38$
Step-by-step explanation:
To the nearest foot, what is the diameter of the circle whose circumference is 47.1 feet?
Answer:
d≈14.99ft
Step-by-step explanation:
Which transformation of Figure A results in Figure A′?
A.) a translation 3 units left and 4 units down.
B.) a reflection across the x-axis
C.) a counterclockwise rotation of 270° about the origin
D.) a counterclockwise rotation of 90° about the origin
Answer:
It is D
Step-by-step explanation:
It is the only reasonable answer
Combine Like Terms: 1 + 5v + v
Answer:
1+6v
Step-by-step explanation:
add 5v and v
a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism in the cubic inches?
Answer:
10692 cubic inches
Step-by-step explanation:
Since we are told to give the units in inches, let's convert the two values which are in feet.
1 ft= 12 inches
thus,
length 2.75 ft. = 33inch
breadth 4.5 ft. = 54 inch
and height is 6 inches.
Volume of a cube= length × width × height
= 33 × 54 × 6
= 10692 cubic inches
WILL GIVE BRAINLIST kai has 32 he wants to put the same number of tickets into 4 boxs wich number sentence could be used to find the number of tickets kai should put in each box
QUESTOINS:
A; 4+__=32
B; 4x__=32
C; 32-__=4
D; 32x__=4
Answer:
it is B
Step-by-step explanation:
now brainliest 5 stars and heart please
Answer:
IT would be B
Step-by-step explanation:
If you multiply 4 x 8 = 32 will complete the answer
Compare 2/3 and 413.213 4/3 -
Answer:
its 413.213
Step-by-step explanation:
A rectangle with an area of 8 ft^2 is dilated by a factor of 4. What is the area of the dilated rectangle?
multiple choice?
Step-by-step explanation:
any body can help me pls i need help
Answer:
2
Step-by-step explanation:
help me now i need this question right away
Answer:
It will be 120°
It because if you matched those two points you will have two angles of 90° degree inside that square and in the triangle at the above 120-90= 30 degrees for both angles and since that all angles of the triangle are equal 180 then 180-(30+30)=120°.
Sorry if my explanation isn't that good.
Helppp plz I will mark brainliestttt
Answer:
19
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 8.6 ft, rounded to the nearest tenth of a cubic foot? \text{Volume of a Sphere:}
Answer:
volume V = 166.519071 ft^3
Step-by-step explanation:
radius r = 4.3 ft
base circumference C = 27.0176968 ft
volume V = 166.519071 ft^3
curved surface area A = 116.176096 ft^2
base surface area B = 58.0880482 ft^2
total surface area K = 174.264144 ft^2
In Terms of Pi π
base circumference C = 8.6 π ft
volume V = 53.0046667 π ft^3
curved surface area A = 36.98 π ft^2
base surface area B = 18.49 π ft^2
total surface area K = 55.47 π ft^2
Volume of a hemisphere:
V = (2/3)πr^3
If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?
Use the Order of Operations to evaluate this expression
(-2+1square2) +5 (12/3) -9
Type the correct answer in the box. Use numerals instead of words.
Answer: The value of the expression is (12)
Step-by-step explanation:
Got it right
I need help on 11 and 12.
When adding polynomials, you combine like terms. Then put the polynomial in standard form. true or false
Answer:
True
Step-by-step explanation:
Polynomials are expressions containing one or more variables that are raised to powers beyond 2.
In standard form, a polynomial may be arranged based on the power of the variable. For example
X^3 + 2x^2 + 5
The above polynomial has been arranged in standard form. To add or subtract two polynomials, the two expressions are rearranged to combined like terms and then organized in standard form
Richard saves money by investing 5% of his salary in his individual retirement account. Which of the following best describes how his investment will grow over the next 30 years?
⊝ His investment will most likely be worth very little more than he invested in deposits over the 30 years.
⊝ His investment will most likely be worth exactly what he deposited over the 30 years.
⊝ His investment will most likely be worth a lot more than he invested in deposits over the 30 years.
⊝ His investment will most likely be worth less than he invested in deposits over the 30 years.
answer:
Answer is c this was difficult
Help please due today!
Answer:
12 is the answer
(Also have a nice day!)
1. What is the measure of angle PSQ?
80°
140°
Answer:
140°
Step-by-step explanation:
angles at a point add upto 360° we are given two points and one is missing the only thing to do,,,is to add the two angles and subtract it from 360 which gives as 140°
SOMEONE HELPPPPPPPPPPP
Answer:
(-1 , 0)
Step-by-step explanation:
(-1 , 0)
Please help because I have to submit this this week
Answer:
67
Step-by-step explanation:
its a 90 degree angle so u have to do 90-23 which equals to 67
Determine if the sequence below is arithmetic
or geometric and determine the common
difference / ratio in simplest form.
2, 7, 12, ...
Answer:
2,7,12... is an arithmetic sequence & the common difference between each of them is +5 .
Step-by-step explanation:
Hope this helps u ;)
Good luck .
The given sequence is an ''Arithmetic sequence'' with common difference 5.
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
We have to given that;
The sequence is,
⇒ 2, 7, 12, ...
Now, We can find the common difference as;
The sequence is,
⇒ 2, 7, 12, ...
Common difference = 7 - 2 = 5
Common difference = 12 - 7 = 5
Hence, It is an Arithmetic sequence.
Thus, The given sequence is an Arithmetic sequence with common difference 5.
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You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?
Answer: 36%
Step-by-step explanation:
help plzzzzz! I'll give 30 points
Answer:
c
Step-by-step explanation:
The owner of a snow cone stand used (1)/(4)gallon of syrup o make 16cherry snow cones . She used the same amount of syrup in each snow cone how much syrup in gallons was used in each cherry snow cone
Answer:
1 /64 gallon.
Step-by-step explanation:
Number of cherry snow cones made from 1/4 gallons of syrup = 16
If the same amount of syrup is used in each cherry snow cone ;
Amount of syrup used in each cherry snow cone would be :
Gallons of syrup used / number of cherry snow cones made
= 1/4 gallons ÷ 16
= 1/4 * 1/16
= 1 / 64 gallons
For Each cheery snow cone, 1/64 gallon of syrup was used.