The graph shows the function f(x) = 6(3)^x What is the value of the inverse function, f ^-1 at x = 2
Answers
Answer:
Step-by-step explanation:
y = f(x)
y = 6 * 3^x
Interchange x and y
x = 6 * 3^y
Divide by 6
x/6 = 3^y
Take the log of both sides
log(x/6) = log(3)^y
Bring the y down
log(x/6) = y log(3) \
Divide by log(3)
log(x/6)/log(3) = y
Let x = 2
log(2/6) / log(3) = y
-(0.4771 )/ 0.4771 = y
y = - 1
Remark
The original graph is in green
The red graph is the inverse.
The point (2,-1) is marked so that you know it falls on the inverse.
Related Questions
5. Solve the equation using the Zero-Product Property.
Answers
Answer:
x=8 or x=1 1/5
Step-by-step explanation:
x-8=0 5x-6=0
x=8 5x=6
5x/5=6/5
x=1.2 or 1 1/5
I hope this helps! :)
What is the answer to this question
Answers
Answer:
cant see picture its blocked off
Step-by-step explanation:
Angle A and B are supplementary. Angle A is 39 degrees so angle B must be what??
Answers
supplementary angles = 180°
180 - 39 = 141 °
141°
Hello! Im currently in elementary school and ik this is easy for u in middle school so pls help me.
You go out of the path and take a round that forms a perimeter of the small mountain. You measure the circumference to 75 meters. The view was so nice here, so you take another round with the same circumference.
How much longer was the trip because you took 2 laps in this perimeter detour?
I’ll give 15 points? pls fast i have time on me.
Answers
Answer: WELL WE GO BY 150 METERS AND THAT ADDS TO TIME BUT BUT GOING TWICE YOU GET 150 METER IN ALL
Step-by-step explanation:
I need major help with triangle congruence!
State the reason as SSS,SAS,ASA,AAS or HL
20 points
Answers
6. yes, SAS
A stack of two hundred eighty cards is placed next to a ruler, and the height of stack is measured to be 7 8 inches. How thick is one card?
Answers
Answer:
1 /320 inches
Step-by-step explanation:
thickness of each card
7/8 ÷ 280
7/8 x 1/280 = 1/320 in
Directions: Please show work to earn credit. Answers without any work are not worth any credit. Remember elegance and labeling of all units, as well as precision and accuracy. Read each question carefully and check your solutions.
1.
a.) Find the surface area of a right prism with the following dimensions:
Length: 12 cm
Width: 7 cm
Height: 9 cm
Answers
Answer:
The total surface area of this object is 510 cm^2.
Step-by-step explanation:
Here L = 12 cm, W = 7 cm and H = 9 cm.
There are 2 panels 12 by 9 cm, 2 panels 12 by 7 cm, and 2 panels 7 by 9 cm. The combined areas are:
2(108 cm^2) + 2(84 cm^2) + 2( 63 cm^2) = 510 cm^2 total area
s: Practice
Question 1 of 5
Type the correct answer in the box. Use numerals instead of words.
A charter fishing boat sold a total of 50 tickets for its two trips yesterday,
There were 19 adults and 7 children on the morning trip. There were 24 adults on the evening trip.
The probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is
%.
Answers
The probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.
To calculate the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip, we will use the formula: $P(\text{Child or Evening Trip}) = P(\text{Child}) + P(\text{Evening Trip}) - P(\text{Child and Evening Trip})$.We are given that there were 7 children on the morning trip and 24 adults on the evening trip.
Therefore, the number of children who were on the evening trip is 0. Hence, $P(\text{Evening Trip}) = 24/50 = 0.48$.
Similarly, the number of children who were not on the evening trip is 7, while the number of adults who were not on the evening trip is $50 - (7 + 24) = 19$. Hence, $P(\text{Child}) = 7/50 = 0.14$.
Since no child was on the evening trip, $P(\text{Child and Evening Trip}) = 0$.
Substituting these values in the formula above, we get: $P(\text{Child or Evening Trip}) = 0.14 + 0.48 - 0 = 0.62$
Therefore, the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.
For more such questions on probability
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The function h(t)=-16t^2+75t+80 models the height in feet, h, of a ball as it is thrown into the
air at time, t, in seconds. At which of the following times will the ball be 124 feet above the
ground?
Answers
Answer:
[tex]t = 4\\[/tex]
or
[tex]t=0.6875[/tex]
Step-by-step explanation:
[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]
Solving for t using the quadratic formula we get:
[tex]t = 4\\[/tex]
or
[tex]t=0.6875[/tex]
The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.
What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.The function given for the height of the ball thrown is;
h(t) = -16t^2+75t+80
In which, h is the height in feet,
t, is the time till ball is in air( in seconds. )
When height h = 124 feet.
Time t = ?
Put h = 124 in the given equation.
124 = -16t^2+75t+80
On solving.
-16t^2+75t-44 = 0.
16t^2 - 75t + 44 = 0.
Solve the quadratic equation by the quadratic formula,
t = 4 and t = 0.68 seconds.
Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.
To know more about the function, here
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please help me ..............................
Answers
Find the volume of the given rectangular pyramid.
Answers
Answer:
5 x 3 = 15, 15 x 4 = 60
60 x 1/3(basically just dividing by 3) = 20 in3
Answer:
H) 20
Step-by-step explanation:
Formula for the volume of a rectangular pyramid:
V = (whl)/3
Given:
w = 3
h = 4
l = 5
Work:
V = (whl)/3
V = (3 × 4 × 5)/3
V = (60)/3
V = 20
how do we say the expression in words?
can somebody help me pls rn
Answers
Answer:
Step-by-step explanation:
1 Escritura unida
Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]
el bajorrelieve, los bajorrelieves
la mediapunta, las mediapuntas
En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:
el puercoespín, los puercoespines; el puerco espín, los puercos espines
el arcoíris, los arcoíris; el arco iris, los arcos iris
el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.
el pavorreal, los pavorreales; el pavo real, los pavos reales
La Gramática prefiere, como norma general, la forma en una palabra.
pleas help a lot of points
Answers
Answer:
54 ft
Step-by-step explanation:
Add all the side lengths ; 18+18+18 = 54.
18+18+18=54
Can someone plz answer these questions or at least one?I'll give brainliest if you answer all.
Answers
Answer:
#1 What is the y-intercept? -there is no y-intercept it passes through 0.
#2 What is the y-intercept? -the y-intercept is -2
Step-by-step explanation:
why is it 0? the line goes through in between the lines in the middle, that's 0.
why is it -2? the line goes up and the y axis going down is negative on the bottom and passes through -2.
An isosceles triangle has an angle that measures 92°. Which other angles could be in that isosceles triangle? Choose all that apply.
Answers
Answer:
92
Step-by-step explanation:
an iscosolice triagle is a triangle with the sam lenghth on both sides
Two or more friends are collecting pop-can tabs. Natasha has 250 more pop-can tabs then Krystel, in total they have 880. how many pop-can tabs did each collect
Answers
Hint take 880-250
Answer:
Krystal collected 315 pop-can tabs while Natasha collected 565 pop-can tabs.
Step-by-step explanation:
Let x be number of pop-can tabs Krystal collected
Krystal: x
Natasha: x + 250
x + x + 250 = 880
2x = 880 - 250
2x = 630
x = 315
Krystal: 315 pop-can tabs
Natasha: 315+250 = 565 pop-can tabs
A car travels a distance of 500 km in a time of 5 hours.
What is the car's average speed?
Answers
Answer:
100km/h
Step-by-step explanation:
The formula for speed is:
v = x / d = 500/5 = 100km/h
It took each student 30 minutes to set up the puppet show and twice as long to put everything away. The show was open for 3 hours. How much time did each student spend on this event?
Answers
Answer:
4 and 1/2 hours or 270 minutes
Step-by-step explanation:
Each student spend 30 minutes to set up the puppet show.
+30
They spent twice as long to put everything away.
+30 +30
Current total: 90 minutes
The show was open for three hours
+180 (60 minutes in an hour x 3 hours)
Current total: 270
Total: 270 minutes
OR
Divide 270 by 60 minutes in an hour, which would be 4.5 hours.
Answer: 1 hour and 30
Step-by-step explanation:
First, you multiply 30 minutes x2 and get 60. 60 minutes is an hour so now you have an hour. Then you add 30 minutes to that and get 1 hour and 30 minutes. Then, you subtract 3 hours minus 1 hour, and 30 minutes and get 1 hour and 30 minutes.
x=-2
Plz I need it plz
Answers
No links need help ASAP
Answers
an integer less than its opposite is
A. less than zero
B. zero
C. between zero and one
D. greater than one
Answers
Answer:
I think it's A
Step-by-step explanation:
Sorry if I'm wrong
Hello! Would appreciate some help. :)
Given this number line, CD=?
Answers
Answer:
sorry its 2
Step-by-step explanation:
from 11 to 13 it is 2
Can somebody plz help answer these questions correctly (only if u know how to do this) thanks :D!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answers
15. Range=33 Mean= 88.2
16. Range= 81 Mean= 161.3
To find range you take the smallest number and the largest number and subtract them. To find mean you add all of the totals together and then divide by how many numbers are given.
How long will it take an investment of $400 earning 3% annual interest compounded monthly to triple in value?
Answers
Answer:
$12 is 3% of $400, triple the value is $1200, it would take 100 months, or 8 years
Do klasy zakupiono n stolików i dwa razy więcej krzeseł.Ile mebli zakupiono?Trzy krzesła były uszkodzone i zwrucono je do producenta.
Answers
Answer:
3n meble
3n - 3 meble pozostały
Step-by-step explanation:
n stoły
2n - 3 krzesła
n + 2n = 3n
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answers
What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
I WILL GIVE BRAINLIST TO RIGHT ANSWER
Answers
Answer:
d supplementary angle is s answer to me
please help me 20 points
Answers
32
22+10=32yd ...............
Answer:
The answer is 32. Sorry need the points.
identify the y-intercept of y=-4x
(0, -4)
(0,0)
there isn't one
(0,1)
Answers
Which of the following graphs represents the linear equation y = –2?
Answers
Answer: third one ( I could be wrong )
Step-by-step explanation:
Answer:
its the 3rd one
Step-by-step explanation: