Answers
Answer:
Consider the parent logarithm function f(x) = log(x)
Now,
Let us make transformations in the function f(x) to get the function g(x)
•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.
•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)
Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is
g(x) = 3 log(x/2) (Option-B).
Related Questions
Estimate the area of the circle. Use 7/22 for π
Answers
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
What fraction is less then 1/2.
Choices are
16/33. 3/5 6/11 8/15
Answers
Answer:
16/33
Step-by-step explanation:
half of 5 is 2.5
half of 11 is 5.5
half of 15 is 7.5
half of 33 is 16.5
so 16/33 is the only fraction less than half of the denominator
hope this helps chu <3
Answer:
16/33
Step-by-step explanation:
because 16 +16 is 32 not 33 and it is a 1 over what it's supposed to be so it's less than 1/2 because 1/2 it technically something divided by 2 because it's half of something.
Determine center point and radius in the equation x^2+y^2-6y+1=0
Answers
9514 1404 393
Answer:
center: (0, 3)radius: 2√2Step-by-step explanation:
The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.
x^2 +(y^2 -6y) = -1
x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square
x^2 +(y -3)^2 = 8 . . . . standard form equation
__
Comparing the above equation to the form:
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r
we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.
The center point is (0, 3); the radius is 2√2.
Write your answer using integers, proper fractions, and improper fractions in the simplest form
PLEASE HELP
Answers
Answer:
y = 1/4 x - 7/2
Step-by-step explanation:
x - 4y = 14
-4y = -x + 14
y = -x/(-4) - 14/4
y = 1/4 x - 7/2
Which of the following is the equation of the function below?
y=2csc[2(x+pi)]-2
y=0.5sec[2(x+pi)]-4
y=0.5csc[2(x+pi)]-4
y=2csc[2(x+pi)]-2
Answers
The equation of the function shown in the graph would be [tex]y=0.5sec[2(x+\pi)]-4[/tex].
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
This is the graph of y = sec x that is shifted down 2 units and shifted to the left π/3 units.
When x=0,
[tex]y = 0.5sec[2(x+\pi)]-4\\\\y = 0.5sec[2(x+\pi/3)]-4\\\\y = 1-2\\\\y = -1[/tex]
Thus, The y-intercept is -1.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
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May you solve this for me?
Answers
Answer: 23.94 cm
Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.
I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.
Plz someone answer I will give u points
Answers
Answer:
FL = 54°
Step-by-step explanation:
m<MNF = ½(ML + LF) (inscribed angle theorem)
7 + 8x = ½(72 + 7x + 5)
Solve for x
2(7 + 8x) = 72 + 7x + 5
14 + 16x = 72 + 7x + 5
Add like terms
14 + 16x = 77 + 7x
16x - 7x = 77 - 14
9x = 63
x = 63/9
x = 7
✅FL = 7x + 5
Plug in the value of x
FL = 7(7) + 5 = 49 + 5
FL = 54°
The radius of a circle is 13 cm. Find its circumference in terms of pie.
Answers
Answer:
26 pi
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
first the formula for finding the circumference of a circle is πr2
where π = 22/7
r = 13x13
hence, circumference = πr2
= 22/7 x 13 x 13
= 22/7 × 169
= 22 x 169/7
= 3718/7
= 531 cm
Please help me out with this asap.
Answers
Answer:
a) 21
b) 3905.44236
c) 251.94689
d) 1763.62824
Step-by-step explanation:
a) 42÷2=21
b) 60x42=2520
[tex]\pi[/tex]r²=1385.44236
2520+1385.44236=3905.44236
c) 2x[tex]\pi[/tex]x21=131.94689+60+60=251.94689
d) 251.94689x7=1763.62824
Pls help extra points and mark brainlist

Answers
Answer:
(3,2)
Step-by-step explanation:
...................
PLEASE HELP!!
Quadrilateral ABCD is inscribed in circle O as shown below.
Which of the following would be used to find the m∠3?
A. 90°+m∠4
B. 180°−m∠1
C. 270°+m∠2
D. 360°−(m∠1+m∠2)
Answers
Answer:
A. 90°+m∠4
Step-by-step explanation:
Also
∠ A + ∠ C = 180 o = ∠ B + ∠ D
⇒ 2 x+ ( 3 x − 5 ) = 180 0 = ( x + 5 ) + ∠ C
5 x − 5 = 180
Add 5 to both sides
5 x = 185
Divide both sides by 5
x = 185 5 = 37
But it was A. 90°+m∠4
The equation to use to find angle m∠3 is 180 - m∠1.
Option B is the correct answer.
We have,
In a quadrilateral the opposite angle is supplementary.
This means,
The sum of the opposite angles is 180.
Now,
m∠1 + m∠3 = 180
Solving for m∠3.
m∠3 = 180 - m∠1
Thus,
The equation to use to find angle m∠3 is 180 - m∠1.
Learn more about quadrilaterals here:
https://brainly.com/question/1563728
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Write the fraction as BOTH percentages and decimals.
114/165
Answers
Answer: 69.09% is the percentage. 0.6909 is the decimal
Step-by-step explanation:
hope this helps! you don't have to but maybe mark as brainliest?
You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the percentage of adults who used social media five years ago. Of the 2809 people who responded to survey, 1634 stated that they currently use social media. Use the data from this survey to construct a 98% confidence interval estimate of the proportion of adults who use social media.
Answers
Answer:
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
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].
Of the 2809 people who responded to survey, 1634 stated that they currently use social media.
This means that [tex]n = 2809, \pi = \frac{1634}{2809} = 0.5817[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034[/tex]
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
i will award brainliest HELPP
Answers
Answer:
D
Step-by-step explanation:
What is the length of BC?
(Type your answer in the following format: sqrt(7) or 12sqrt(7) )
Answers
Answer:
the answer is 5 radical3
A president and vice-president for a student organization are chosen from eleven people. How many different president/vice-president combinations are possible
Answers
Answer:
fuioiijhhuiojjhsfjl chhjbvdguk
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Related questions
Circle the like terms in each expression. Then identify the coefficients of the like terms. -x^2y + (-xy) + 2xy + (-2xy^2 ) 7 + 7c + 3 + 7c^3 + (-4)
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
Part A: How can I write algebraic expression for 4 more than 3 times a number. (5 points) Part B: How can I write verbal expression for 2(n + 9). (5
ATTENTION - IN ALL THE QUESTIONS N=18 PLEASE MAKE SURE TO USE N=18 IN EVERY QUESTION In the problems #1a,b simplify the expressions and prese
Answers
Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
which one of yu geniuses can answer this question ???
Answers
Answer:
B. 20
Step-by-step explanation:
x + 40 = 3x
x - x + 40 = 3x - x
40 = 2x
20 = x
tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus
Answers
Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.
Step-by-step explanation:
Let adult = x
children = y
senior citizen = z
Given : Total busload (x+ y + z) = 45
Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]
Total charge on day 2 = 771 $ = [tex]20\times x+12\times y+17\times z[/tex]
Now we have 3 equations : x+ y+z =45
[tex]15\times x+8\times y+12\times z=558[/tex]
[tex]20\times x+12\times y+17\times z=771[/tex]
Solving for them we get: x= 22 , y = 12 and z= 11
Thus there are 22 adults , 12 children and 11 senior citizens.
what is the dependent variable in the equation y=6x+2
Answers
A bank took a random sample on processing time in days for loan approvals: 73, 19, 16, 64, 28, 31,90, 60, 56 and 28 What is the standard deviation of this sample?
Answers
Answer:
The standard deviation of this sample is 25.35
Step-by-step explanation:
Standard deviation for a sample:
Square root of the sum of the squared differences between each value and the mean, and divided by one less than sample size.
Finding the mean:
The mean is the sum of all values divided by the number of values.
In this question, there are 10 values. So
[tex]M = \frac{73+19+16+64+28+31+90+60+56+28}{10} = 46.5[/tex]
Standard deviation:
[tex]s = \sqrt{\frac{(73-46.5)^2+(19-46.5)^2+(16-46.5)^2+(64-46.5)^2+(28-46.5)^2+(31-46.5)^2+(90-46.5)^2+(60-46.5)^2+(56-46.5)^2+(28-46.5)^2}{9}} = 25.35[/tex]
The standard deviation of this sample is 25.35
A composite figure is shown below.
What is the area of the composite figure?
12 in.
0204 square inches
222 square inches
3 in.
5 in.
228 square inches
4 in. 4 in.
234 square inches
24 in.
8 in.
Answers
Answer:
234 square inches
Step-by-step explanation:
Ok take this shape step by step. First solve the rectangle.
The area of the rectangle would be: 24 * 8 = 192
Rectangle Area: 192
Then, solve the area for the triangle in the middle.
The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.
Middle Triangle Area: 12
Then solve for the last triangle.
Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30
Last Triangle area: 30
Finnally, add all the areas up,
192 + 12 + 30 = 234
The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.
Answers
Answer:the width is 3 feet
Step-by-step explanation:
20% of 150 is of what
Answers
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
150 x .2 = 30
Please help, will give 14 points.
Answers
Answer:
25
Step-by-step explanation:
count the frequencies so to get your answer. It is 25.
if it helps don't forget to like and mark me down
What is the slope of the linear line?
4/5
4/-5
5/6
5/-6
Answers
Answer:
Slope is rise/run
Slope is -4/5
= 4/-5
PLEASE HELP ME ANYONE :(
Answers
Answer
B
Step-by-step explanation:
5*5*6=150
Answer:
150
Step-by-step explanation:
Find the volume of the prism
Answers
1/2 x 5 x 2 x 3
=15
Find the surface area of the rectangular prism with the following
dimensions:
length = 4 m
height = 3 m
width = 8 m
Answers
A = 4 x 8 x 3
A = 96
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answers
Answer:
my answer is the 500 or 5
Step-by-step explanation:
I'm saying that because some books write for you the zeros and other write for you the zeros if you find the book saying 500 that's the answer if the book is saying 5 that's the answer but don't say they're both correct answers nice to help you.