Two logarithmic functions are graphed f(x) = log (x) and g(x) = log3(x). Describe the effect on the shape of their graphs.
Responses
ABy decreasing the base number the graph was affected vertically. A lower base number caused the graph to rise at a slower rate.
By decreasing the base number the graph was affected vertically. A lower base number caused the graph to rise at a slower rate.
BBy decreasing the base number the graph was affected horizontally. A lower base number caused the graph to spread out faster along the x-axis.
By decreasing the base number the graph was affected horizontally. A lower base number caused the graph to spread out faster along the x-axis.
CBy decreasing the base number the graph was affected horizontally. A lower base number caused the graph to become more compressed.
By decreasing the base number the graph was affected horizontally. A lower base number caused the graph to become more compressed.
DBy decreasing the base number the graph was affected vertically. A lower base number caused the graph to rise at a faster rate.
Answers
A. By decreasing the base number the graph was affected vertically. A lower base number caused the graph to rise at a slower rate.
What is a logarithm function?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 = 10³, its logarithm in base 10 is 3, or log₁₀ 10³= 3.
Given function are
f(x) = log x and g(x) = log₃ x.
The rate of raise of the graph g(x) is more than that of the graph f(x).
To learn more about effect on the shape, click on below link:
https://brainly.com/question/11535686
#SPJ1
Related Questions
please help i will give u brainlyist
Answers
Answer:
B, E, and D
Step-by-step explanation:
I'm not 100% sure
Given 3f(x) dx0 = 6 and 6f(x) dx = −33, evaluate the following.
Answers
a) 3
b) 3
c) 0
d) 15
Explanations:Given the following integral functions
\(\int_0^3f(x)dx=6\text{ and }\int_3^6f(x)=-3\)a) We are to evaluate the following integrals:
\(\begin{gathered} \int_0^6f(x)=\int_0^3f(x)+\int_3^6f(x) \\ \int_0^6f(x)=6+(-3) \\ \int_0^6f(x)=3 \end{gathered}\)b)
\(\begin{gathered} \int_6^3f(x)dx=-\int_3^6f(x) \\ \int_6^3f(x)dx=-(-3) \\ \int_6^3f(x)dx=3 \end{gathered}\)c) For this integral since the upper and lower limit are the same, the integral of the function will always be zero.
\(\int_3^3f(x)dx=0\)d) Note that every constant inside an integral sign will always come out of the integral. Therefore;
\(\begin{gathered} \int_3^6-5f(x)dx=-5\int_3^6f(x)dx \\ \int_3^6-5f(x)dx=-5(-3) \\ \int_3^6-5f(x)dx=15 \end{gathered}\). Select all of the trips that would take 2 hours.
A. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles
apart.
B. Walk 3 miles per hour to school, which is 1.5 miles away.
C. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart
Answers
The trips that would take 2 hours.
A. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
C. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart
How to illustrate the speed?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
The trips that would take 2 hours are to drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart and to take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.
Learn more about speed on:
brainly.com/question/26046491
#SPJ1
The C major key, starting with the middle C, consists of seven notes (white keys on the piano) with the following
frequencies.
Note. Frequency(Hz)
C. 261.6
D. 293.7
E. 329.6
F. 349.2
G. 392.0
A. 440.0
B. 493.9
Determine the ratio of the note B to middle C.
a. 1.8877
b. 1.7983
c. 1.9348
d. 1.3654
Answers
The ratio of notes B to C is a)1.8877.
What is ratio?
When two numbers are compared, the ratio between them shows how often the first number contains the second. The ratio of oranges to lemons, for instance, is eight to six if a bowl of fruit comprises eight oranges and six lemons is 8:3.
Here the given notes frequency of piano is,
Note. Frequency(Hz)
C. 261.6
D. 293.7
E. 329.6
F. 349.2
G. 392.0
A. 440.0
B. 493.9
The ratio of the note frequency B to C is,
=> 493.9 : 261.6
=> 1.88799
=> 1.8877
Hence the ratio of the notes B to C is 1.8877 .
To learn more about ratio refer the below link
https://brainly.com/question/12024093
#SPJ1
Help help help help help help math math
Answers
Explanation: A dilation is a transformation that changes the size of a figure.
Solve for m∠PNM.
58
186
97
87
Answers
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
Read more about angles at
https://brainly.com/question/31898235
#SPJ1
a recipe that serves 8 people requires 4 1/2 cup of flour how much do you need to serve for 80 people
Answers
Answer:
45 cups of flour
Step-by-step explanation:
80/8=10
4 1/2 x 10 = 45
In a survey of 1000 family showed that 750 families had T.V. and 500 family had ipad, and 80 family had none of T.V. and ipad. Find the number of family who had both T.V. and ipad.
ch -set
Answers
Answer:
330 families
Step-by-step explanation:
Let A be the set of families that have a TV, and B be the set of families that have an iPad. Then we know that:
n(A)= 750 (the size of set A is 750)
n(B)= 500 (the size of set B is 500)
n(A ∪ B) = 1000 - 80 = 920 (the size of the union of sets A and B is 920)
We want to find n(A ∩ B) (the size of the intersection of sets A and B), which represents the number of families that have both a TV and an iPad.
We can use the following formula:
n(A ∪ B)=n(A)+ n(B)- n(A ∩ B)
n(A ∩ B)=n(A)+ n(B)- n(A ∪ B)
Plugging in the numbers we know:
n(A ∩ B)= 750 + 500 - 920 = 330
Therefore, there are 330 families that have both a TV and an iPad.
Answer:
330 families had both a TV and an ipad.
Step-by-step explanation:
In a survey of 1000 families, we are told that 80 families had neither a TV or an ipad. Therefore, the number of families that had a TV, an ipad, or both devices is:
\(\sf 1000 - 80 = 920\)
Let x be the number of families who had both a TV and an ipad:
Given 750 families had a TV, 500 families had an ipad, and 920 families had a TV, an ipad, or both, then:
\((750-x)+(500-x)+x=920\)
Simplify and solve for x:
\(750+500-x=920\)
\(1250-x=920\)
\(x=1250-920\)
\(x=330\)
Therefore, 330 families had both a TV and an ipad.
explain the types of frequency distribution in statistics
Answers
The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution
What are the types of distribution?The two types of frequency distributions are;
Discrete Frequency Distribution:Grouped Frequency DistributionWhen the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.
The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.
This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.
Learn more about frequency distribution at: https://brainly.com/question/27820465
#SPJ1
What is StartFraction 8 Over 9 EndFraction divided by two-thirds?
Answers
Answer:
1 and 1/3
Step-by-step explanation:
:)
Answer:
1 1/3
Step-by-step explanation:
What is the percent markdown on an item costing $375 which is now on
sale for $200?
Answers
Answer:
175????
Step-by-step explanation:
Find the ratio of A to B if A= 51,786 and B= 17,475
Answers
Answer:
\(\frac{17262}{5825}\)
Step-by-step explanation:
A ratio is another way of expressing a fractional value. One can express a ratio as a fraction. This problem asks one to find the ratio of (A) to (B). Set this up as a fraction, then substitute the given values in and simplify,
\(\frac{A}{B}\)
The following information is given.
\(A=51786\\B=17475\)
Substitute these values into the problem,
\(=\frac{51786}{17475}\)
Both numbers are divisible by (3), thus reduce the ratio,
\(=\frac{17262}{5825}\)
Since they have no other factors in common, the final answer is the following,
\(=\frac{17262}{5825}\)
Find the circumference and area of circle X if each unit on the graph measures 1 centimeter. Round answers to the
nearest tenth, if necessary.
Answers
The circumference and area of the circle are 13cm and 13cm^2 respectively
How to determine the valuesThe formula for circumference of a circle is expressed as:
Circumference = 2πr
From the graph shown, we have the radius of the circle as 2 cm
Substitute the value into the formula
Circumference = 2 × 3. 142 × 2
Multiply through
Circumference = 12. 568
Circumference = 13cm
The formula for area of a circle is expressed as:
Area = πr^2
Substitute the value into the formula
Area = 3. 142 × (2)^2
Area = 3. 142 × 4
Area = 12. 568
Area = 13cm^2
Thus, the circumference and area of the circle are 13cm and 13cm^2 respectively.
Learn more about a circle here:
https://brainly.com/question/24375372
#SPJ1
) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:
n=20, x¯¯¯=63.8, s=2.84
≤μ≤
Answers
Answer:
ask MisterBrainly for help
Prove the value of the expression: 5^18-25^8 is divisible by 120
Answers
Answer:
Step-by-step explanation:
Which function equation is represented by the graph?
f(x)=40(2.5)x
f(x)=40(1.5)x
f(x)=40(3.25)x
f(x)=40(2.25)x
Answers
Answer:
f(x)=40(2.25)^x
Step-by-step explanation:
You want the equation of the exponential function that goes through points (0, 40) and (1, 90).
Exponential functionThe exponential function can be written ...
f(x) = a·b^x
ParametersWhen x = 0, this is ...
f(0) = a·b^0 = a·1 = a
Using the given point, we have a = 40.
When x = 1, this is ...
f(1) = 40·b^1 = 40b
Using the given point, we have ...
90 = 40b
b = 90/40 = 2.25
The function equation is ...
f(x) = 40(2.25^x)
<95141404393>
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 35
Step-by-step explanation:
The sum of interior angles of a triangle is 180°.
40 + 2a + 2a = 180
4a + 40 = 180
4a = 140
a = 35
2{ 5[7 + 4(17 - 9) - 22]}
Answers
Answer:
170
one-hundred seventy
Step-by-step explanation:
\(2(5(7+4(17 - 9)-22))=\\2(5(7+4(8)-22))=\\2(5(7+32-22))=\\2(5(39-22))=\\2(5(17))=\\2(85)=\\170\)
Answer:
170.
Step-by-step explanation:
2{ 5[7 + 4(17 - 9) - 22]}
2{5[7+32 -22]}
2{5[17]}
2[85] = 170
parabola is (6, 3). What is the vertex of the function defined as g(x) = f(x) + 3?
Answers
Answer:
Step-by-step explanation:
f(x) is a parabola with vertex (6,3). f(x) means the function is reflected about the y axis. That means the vertex will become (-6, 3) (the x-value gets multiplied by -1). Then adding 3 will move the vertex in the y-direction by +3 (add 3 to the y-value).
complete the following statements. in general, % of the values in a data set lie at or below the 70th percentile. % of the values in a data set lie at or above the 20th percentile.. if a sample consists of 600 test scores, of them would be at or below the 86th percentile. if a sample consists of 600 test scores, of them would be at or above the 62th percentile.
Answers
If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.
What is percentile?A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.
Given that,
In general, 70 % of the values in a data set lie at or below the 70th percentile.
20 % of the values in a data set lie at or above the 20th percentile.
Generally percentile defines the percentage of a data set that is below or at a value that is being considered.
Hence the percentage of the values of a data set that lies below or at the 16th percentile is 16%
Also the values of a data set that lies below or at the 24th percentile is 24%
Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of 600 which is mathematically represented as:
K = \(\frac{86}{100}\) × 600
K = 516 test scores
Given a sample of 600 test scores , the number number of test scores that will be above the 62 th percentile is (100 - 62 = 38 )% of 600 which is mathematically represented as:
a = \(\frac{38}{100}\) × 600
a = 228 test scores.
To know more about percentile refer to:
https://brainly.com/question/28509003
#SPJ4
3х + 19 = 22 solve for x
Answers
Answer:
x=1
Step-by-step explanation:
Lets substitute x with 1. 3*1 = 3
so here is the equation = 3 + 19 = 22
and that is the whole equation, and the answer
Mitchell plans to use ASA to prove that two triangles made from a rectangular piece of wood are the same. Which diagram would support his plan to use ASA?
Answers
The solution is given below.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Remember that the Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
According to this, the correct answer is: given below.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ1
Work out
74 x 58
What is 74x58
Answers
4292
Step-by-step explanation:
there happy that was easy to be honest
hope this helps
K=100-4n
What is value of n when k =99
Answers
Answer:
The value of n = 1/4
Step-by-step explanation:
Given : the value of k = 99
K=100-4n ..i)
putting the value of k = 99 in equation ..i)
=> 99 = 100 -4n
=> 99 -100 = -4n
=> -1 = -4n
=> 1/4 = n
Answer:
K = -296
Step-by-step explanation:
K = 100 - 4n
K = 100 - 4(99)
K = 100 - 396
K = -296
If Anita and Miguel do not take any money from their accounts, whose account will grow faster? Explain why.
Answers
Savings accounts and CDs are good options for people who want to save money without taking on a lot of risk.
If Anita and Miguel do not take any money from their accounts, Anita's account will grow faster than Miguel's.
This is because the interest rate for Anita's account is 6%, while Miguel's is 5%.
The interest rate is the percentage of the principal that a bank or other financial institution pays for the use of money.
It can be thought of as a fee charged for borrowing money.
The higher the interest rate, the more money a person can earn on their investment.
Anita and Miguel's accounts are probably savings accounts or CDs, which are low-risk investments that pay a fixed interest rate.
Savings accounts and CDs are good options for people who want to save money without taking on a lot of risk.
Anita and Miguel's accounts are probably savings accounts or CDs, which are low-risk investments that pay a fixed interest rate.
For more related questions on Savings accounts:
https://brainly.com/question/1446753
#SPJ8
which expression is equivalent to 5 (x + 4/5) - 1/4 (12x - 52)
Answers
\(2x+17.\)
Step-by-step explanation:• Before we start: The way we're going to show an expression equivalent to the given one is by fully simplifying said expression.
1. Write the expression.\(5 (x + \frac{4}{5} ) - \frac{1}{4} (12x - 52)\)
2. Distribute the numbers inside the parenthesis.Check attached image 1 to see the process that we're applying in this step.
\((5)(x)+(5)(\frac{4}{5} )\\ \\((\frac{1}{4} )(12x)+(\frac{1}{4} )(-52))\\ \\5x+4-(3x+(-13))\\ \\5x+4-(3x-13)\\ \\5x+4-3x+13\)
3. Operate with like terms.\(5x-3x+4+13\\\\2x+17\)
4. Conclude.\(2x+17.\)
-------------------------------------------------------------------------------------------------------
Solving equations is a process that involves a lot of expression simplifying. Therefore, I suggest to check out some of these exercises to learn about the simplifications used when solving equations:
brainly.com/question/30652933
brainly.com/question/30596312
brainly.com/question/28282032
brainly.com/question/28306861
brainly.com/question/28285756
brainly.com/question/28306307
brainly.com/question/30015231
Brainly.com/question/29888440
Derek bought a pair of pants for $35 and 3 shirts. He spent a total of $62.50. How much did each shirt cost? What is the equation for X?
Answers
Answer:
62.25=35+3x
62.25-35=27.25
27.25=3x
divide both sides by 3
x=9.08 or just 9
Using the identity. (a - b) ²= (a² - 2ab + b²), evaluate 699²
Answers
Step-by-step explanation:
hope it helps you.......
\(\\ \sf\longmapsto 699^2\)
\(\\ \sf\longmapsto (700-1)^2\)
\(\\ \sf\longmapsto 700^2-2(700(1)+(1)^2\)
\(\\ \sf\longmapsto 490000-1400+1\)
\(\\ \sf\longmapsto 488600+1\)
\(\\ \sf\longmapsto 488601\)
Find the mean for the amounts: $17,483: $14,987. $13,521; $14,600, $18,580, $14,981The mean for the amounts is $u-(Round to the nearest whole number as needed.)
Answers
To find the mean we need to add all the amounts and then divide the result by the number of amounts we have. This is express as:
\(\mu=\frac{\sum_{i=1}^nx_i}{n}\)In this case we have a total of six amounts, then n=6. The mean is:
\(\begin{gathered} \mu=\frac{17483+14987+13521+14600+18580+14981}{6} \\ \mu=\frac{94151}{6} \\ \mu=15692 \end{gathered}\)Therefore, the mean is $15,692
QUESTION 12
Solve the equation -8x+4y=24 for y.
Answers
Answer:
2x+6
Step-by-step explanation:
4y=8x+24
y=2x+6