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).
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Related Questions
Shamim made the model to
show multiplying a fraction by a
fraction. Which multiplication
sentence does the model show?
Answers
Answer:
C
Step-by-step explanation:
Lets look at the rows, there are 3 rows going down and there are 8 rows going across. There are 2 rows out of the 3 fully colored in so we know our first fraction would be 2/3, that way we cross out A hence it doesn't have 2/3 written in the problem. Next we check how many are shaded in in the 2 rows which is 5 and there are 8 rows going across so our answer is 2/3 x 5/8 = 5/12
The multiplication sentence which does the model show is 3/8 * 5/8=15/64, the correct option is A.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
The block diagram
Now,
10 fully shaded boxes
8 partially shaded boxes= 5/3
3 empty boxes =3/8
Multiplying both the fractions
= 3/8 * 5/3
= 15/64
Therefore, by the fraction the answer will be 15/64.
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Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100, how much in total did he pay?
Answers
Answer:
121
Step-by-step explanation:
3% of 100 = 3
18% of 100 = 18
100+3+18=121
Evelyn is going to invest $3,500 and leave it in an account for 16 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Evelyn to end up with $6,200?
Answers
Answer:
Quarterly interest rate= 0.8974%
Step-by-step explanation:
Giving the following formula:
Initial investment (PV)= $3,500
Future Value (FV)= $6,200
Number of periods (n)= 16*4= 64 quarters
It is almost impossible to calculate the interest rate using a formula. To determine the interest rate, we need to use a financial calculator:
Function: CMPD
n= 64
I%= SOLVE= 0.8974
PV= 3,500
FV= -6,200
Quarterly interest rate= 0.8974%
Answer:
3.6%
Step-by-step explanation:
There are 13 flavors at the soda machine, and anyone can choose 6. A sign says we are only allowed to use one of each flavor. You decide to grab a cup and fill it up with your favorite flavors at random (it’s all going to the same place, right?). How many possible soda mixtures can you make?
Answers
Answer:
1716 soda mixtures
A person can choose in 1716 different ways.
What is combination?A combination is a way of selecting items from a collection where the order of selection does not matter.
Given that there 13 flavors at a soda station, a person has to choose 6 out of this,
We need to find how many possible soda mixtures can you make,
So, using here the concept of combination,
ⁿCₓ = n! / x!(n-x)!
Here, n = 13 and x = 6,
So,
¹³C₆ = 13! / 6!(13-6)!
= 13! / 6! × 7!
= 13 × 12 × 11 × 10 × 9 × 8 × 7! / 6! × 7!
= 13 × 12 × 11 × 10 × 9 × 8 / 6!
= 13 × 12 × 11 × 10 × 9 × 8 / 720
= 1716
Hence a person can choose in 1716 different ways.
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Minnie shovels driveways to earn money. She can shovel 6 driveways in 4 hours. She earns $19.00 for each driveway. Minnie is saving up to buy a new phone that costs $1 567.50. How many hours does Minnie need to work to earn enough money to purchase the phone? s incorrect. Change your answer and try again! 2 3 4 5 6 7 00
Answers
9514 1404 393
Answer:
55 hours
Step-by-step explanation:
The number of hours will be ...
($1567.50) ÷ ($19/driveway) ÷ (6 driveways)/(4 h)
= (1567.50×4)/(19×6) h = 55 h
Minnie needs to shovel driveways for 55 hours to hear enough for the new phone.
Answer:
about 55.275 hours. You may have to round it to the nearest tenth or whole number, whatever the question tells you to do, but this is the approximate answer. PLEASE VOTE BRAINLIEST!
Step-by-step explanation:
What we know:
6 driveways in 4 hours
$19 per driveway
needs $1,567.50
first, find amount of hours for one drive way by setting up a proportion.
6/4 =1/x
x= about 0.67 hours, or about 40.2 minutes.
now think: how many driveways does it take to make 1,567.50?
1,567.50/19= 82.5
This means it will take her 83 driveways to earn all of her money.
The final step is to multiply this by the amount of minutes, and then you will have your answer! 82.5*40.2= 3316.5
Divide by 60 to convert to hours.
Answer: 55.275
15 - a = 17 what is a?
Answers
Answer:
a = -2
Step-by-step explanation:
15-a =17
a=15 - 17
a=-2
Answer:
hi
Step-by-step explanation:
-a=17-15
-a=2
have a nice day
Please help me!
1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex
2. Consider the feasible region in the xy-plane defined by the following linear equalities:
X>=0
Y>=0
X<=12
X + Y >= 4
-X + 2Y <= 14
A. Find the value of Q=70x+82y for each vertex
B. What are the minimum and maximum values of the function Q on the feasible region?
Answers
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 months. If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries
Answers
Answer:
They should guarantee the lifetime of their batteries for 32 months.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 36 months and a standard deviation of 2 months.
This means that [tex]\mu = 36, \sigma = 2[/tex]
If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?
The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.054 = \frac{X - 36}{2}[/tex]
[tex]X - 36 = -2.054*2[/tex]
[tex]X = 31.89[/tex]
Rounding to the closest month, 32.
They should guarantee the lifetime of their batteries for 32 months.
Consider the equation:
y=-x+4
Identify the slope and y-interce
Answers
Use the models above to explain why a 5×2/3 equals 10×1/3
Answers
Answer:
I kind of need the models to help with this one
Devin pushed a table 2 meters, using a force of 100 N. The table weighed 150 N. How do you calculate the work done by Devin?
A. Multiply 150 by 2.
B. Divide 100 by 2.
C. Multiply 100 by 2.
D. Divide 150 by 2.
Answers
Answer:
Step-by-step explanation:
D I did this before
Find the absolute maximum and minimum values of f on the set D. f(x, y) = x4 + y4 − 4xy + 2, D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ 2}
Answers
Answer:
Absolute maximum at (3,0)
Absolute minimum at (1,1)
Step-by-step explanation:
Given - f(x, y) = x⁴ + y⁴ − 4xy + 2, D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ 2}
To find - Find the absolute maximum and minimum values of f on the set D.
Proof -
Given that, f(x, y) = x⁴ + y⁴ − 4xy + 2
Now,
Differentiate f(x,y) with respect to x and y , we get
[tex]f_{x}(x,y)[/tex] = 4x³ - 4y
[tex]f_{y}(x,y)[/tex] = 4y³ - 4x
Now,
For the critical point, put [tex]f_{x}(x,y)[/tex] , [tex]f_{y}(x,y)[/tex] = 0
we get
4x³ - 4x = 0
⇒x = 0, -1, 1
but given the range of x is 0 ≤x ≤ 3
⇒x = 0, 1
⇒y = 0, 1
∴ we get
2 critical points (x,y) = (0,0) , (1,1)
Now,
Put the values of x and y in f(x,y), we get
f(0,0) = 0 + 0 - 0 + 2 = 2
f(1,1) = 1 + 1 - 4 + 2 = 0
Now,
for the max and min values, finding the critical value is not enought, we have to find the values in the domain also.
Given domain is 0 ≤ x ≤ 3, 0 ≤ y ≤ 2
So, we have to check the values at the rectangle that have the coordinates
(0,0), (0,2), (3,2), (3,0)
Now,
f(0,0) = 0 + 0 - 0 + 2 = 2
f(0,2) = 0 + 16 - 0 + 2 = 18
f(3,2) = 81 + 16 - 24 + 2 = 75
f(3,0) = 81 + 0 - 0 + 2 = 83
∴ we get
Absolute maximum at (3,0)
Absolute minimum at (1,1)
At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?
Answers
Answer:
9 burritos and 18 tacos
Step-by-step explanation:
We can start this problem by assigning a variable to our unknowns.
Let's name x the number of burritos he buys.
The question states he buys half as many burritos as tacos.
Therefore, the number of tacos he bought is 2x.
Let's set up an equation.
(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost
2.19x+1.29(2x)=42.93
Simplify
2.19x+2.58x=42.93
4.77x=42.93
x=9
Michael bought 9 burritos.
2*9=18
Michael bought 18 tacos.
Answer:
[tex] \displaystyle 18[/tex]
Step-by-step explanation:
we are given that,
tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacoslet the number of tacos and burritos be t and b respectively
according to the 3rd condition we get:
[tex] \displaystyle 1.29t + 2.19b = 42.93[/tex]
according to the 4th condition we obtain:
[tex] \displaystyle t = 2b[/tex]
therefore our system of linear equation is
[tex]\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}[/tex]
so now we end up with a system of linear equation in order to solve the equation we can consider substitution method
so substitute the value of t which yields:
[tex] \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93[/tex]
simplify multiplication:
[tex] \displaystyle 2.58b+ 2.19b = 42.93[/tex]
since we have same variable we can consider the like terms:
[tex] \displaystyle 4.77b = 42.93[/tex]
divide both sides by 4.77:
[tex] \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}[/tex]
reduce fraction:
[tex] \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}[/tex]
[tex] \displaystyle b = 9[/tex]
now substitute the value of b:
[tex] \displaystyle t = 2.9[/tex]
simplify multiplication:
[tex] \displaystyle t =18[/tex]
hence,
he bought 18 tacos
identify each triangle right if it is an equilateral, isosceles or scalene triangle, or if it is an obtuse triangle, acute triangle, or right triangle opposite each letter below
Answers
Answer:
a) isosceles triangle / acute triangle
b) right angled triangle
c) isosceles triangle / acute triangle
d) right angled triangle
e) isosceles triangle / acute triangle
f) equilateral triangle
g) equilateral triangle
h) obtuse triangle
hope this answer helps you.....
How much soup, to the nearest tenth of a cubic unit, can fit in a cylindrical can that is 8 inches tall and has a diameter of 6 inches?
Answers
Answer:
Step-by-step explanation:
2. Triangle ABC is similar to triangle PQR. Which statement is not always true?
1) ZA-ZP 2) ZR-ZC 3) 2B-ZR 4) 2C-ZR
Answers
How many times can 60 go in 119
Answers
Answer:
answer is 1
Step-by-step explanation:
bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))
The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?
Answers
Answer:
formula for the area A of a circle in terms of its radius r:
A = πr2
It is important to remember that both r, and hence, A are functions of time, t. Take the derivative of both sides with respect to t and obtain
dA/dt = 2πr(dr/dt)
Note that we are using implicit differentiation here, since A and r are (implicit) functions of t. Now we can find the required answers.
r = 5 inches.
Substitute r = 5 and dr/dt = 3 to get
dA/dt = 2π5·3 = 30π ≅ 95.25
(the units are in2/min.)
r = 22 inches
dA/dt = 2π22·3 = 132π ≅ 414.69
Hope that helps.
I have nothing to do
Answers
Answer:
ok cool, bro'
Step-by-step explanation:
amazing
Answer:
paint
clean your room
call some friends
find a new hobby
bake/cook
re-do your room
make a wishlist
do some skincare
start learning a new language
start a new netflix series
bike ride/skate/drive
Find the total surface area of this cone.
Leave your answer in terms of pi
12cm
55cm
Answers
Answer:
Step-by-step explanation:
write your answer in improper fraction 282 should be written in front of 6 upon 7 this is your answer I hope it helps
Which option identifies the systematic error in the following scenario?
Mary is measuring the weight of an object using a scale. The scale reads 2 lbs. too high for the first measurement she takes. When she takes the measurement again using the same steps, the scale again reads 2 lbs. too high.
A.) The error cannot be predicted to occur.
B.) The error can be reproduced.
C.) The error in measurement is estimated.
D.) The error amount fluctuates.
Answers
Answer:
B the error can be reproduced
Solve for x and round to the nearest tenth
Answers
9514 1404 393
Answer:
88.9
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(77°) = 20/x
x = 20/cos(77°)
x ≈ 88.9
I’ll give brainliest and 100 points
Answers
Answer:
Step-by-step explanation:
I first added 13 and 8 to get 21
After that I do 7.5*21 to get 157.5
Then I multiplied 2.5 by 8 to get 20. But it is a triangle so I have to divide by 2 to get 10
I add 10+10+157.5=20+157.5=177.5
177.5 units²
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
Does anyone know answer please?
Answers
Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.
When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent
In this problem
---> by alternate interior angles
we have
therefore
Multiply: 8(3t - 5v)
Answers
Answer:
-16tv
Step-by-step explanation:
3-5=-2tv*8=-16tv
The answer is :25t-40v
Explanation: Your disrupting 8 to 3 and 5.
16. Simplify the expression.
(6 + 47) + (4 + 61)
-10 - 10
10 + 10i
201
10 - 10
Answers
HELP ASAP WILL GIVE BRAINLIEST PLS!!!!
How can you use probability to understand why events happen or do not happen?
Answers
ANSWER:
By determining the number of possible outcomes, we have to examine many reasons behind the events. When examining the reasons behind these events we will eventually find a pattern. This pattern is what tells us how often something may or may not happen. By knowing how often something may or may not happen we can determine when it will reoccur in the future.
Step-by-step explanation:
NEED HELP IN FINDING AREA
Answers
Answer:
492 yd^2
Step-by-step explanation:
Way 1: 250 + 242 = 492
Way 2: 800 - 132 - 176 = 492
Marty has 1 dozen eggs. He needs 4 eggs to bake a cake.How many cakes can he bake.
If you see this your lucky.
You will get 80 points if you answer this.
This is easy
Answers
Answer:
3
Step-by-step explanation:
12 didved by 4 is 3
Answer:
3 cakes
Step-by-step explanation:
3 cakes can be bake with dozen if eggs
31-(75 divided by 3) divided by 5
Answers
Answer:
The answer is: 26
Step-by-step explanation:
How i got this answer is i used a method called P.E.M.D.A.S ( parenthesis, exponents, multiplication, division, addition, subtraction). So i first did what was in the parenthesis (75 / 3= 25). Next I did division ( 25 / 5=5). Lastly, I did Subtraction ( 31-5 = 26) and so your left off with the answer 26.
~I really hope this explanation helped, have a gr8 day/night my friend!~
Answer:
I got 26 hope this helps
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