What function is the inverse of the exponential function y = 3^x?
Answer:
Step-by-step explanation:
First switch the y and x values:
[tex]x=3^y[/tex]
Take the natural log of both sides to get:
[tex]\ln(x)=y*\ln(3)[/tex]
Separate the y value:
[tex]y=\frac{\ln(x)}{\ln(3)}[/tex]
The inverse of the exponential function will be:
"y = [tex]\frac{ln(x)}{ln(3)}[/tex]".
Exponential functionAccording to the question,
The function, y = [tex]3^x[/tex]
By switching "x" and "y" of both sides of the function,
→ x = [tex]3^y[/tex]
Now,
By taking "log" both sides,
ln(x) = y × ln(3)
By separating the terms, we get
y = [tex]\frac{ln(x)}{ln(3)}[/tex]
Thus the above response is correct.
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Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto
Answer:
1 7/12Step-by-step explanation:
I think that you want to know how many total pounds of beans do you have.
Well, to find this, simply find the LCM of 6 and 4. That is 12.
So convert the fractions to have a denominator of 12.
10/12, 9/12
Now add:
(10+9)/12 = 19/12 = 1 7/12
Original Price: $90 Sale Price: $58.50
(Find the percent of increase)
Answer:
The answer is 35% increase
is 2.58 greater than or less than 2.7 there decimals and it's 4th grade and it's math
Answer:
2.58 is less than 2.7
Step-by-step explanation:
Two number cubes are rolled sequentially. What is the probability that the first number cube shows a two or a three and the other number cube shows an even number?
Answer:
1/6
Step-by-step explanation:
The probability that the first number cube shows a two or a three is 2/6 = 1/3
The probability that the other number cube shows an even number is 3/6 = 1/2.
1/2 * 1/3 = 1/6
A basketball player scored six times during one game. She scored a total of seven points, two for each two point shot and one for each free-throw. How many to point shots did she make? How many free throws?
Answer:
3
Step-by-step explanation:
Answer:
she has 2 free throws
Step-by-step explanation:
A environmental initiative has the goal of saving at least 25 million hectares of rainforest through both planting trees and purchasing land. The cost of planting trees is $400 per hectare, and the cost of purchasing land is $260 per hectare. If the initiative has a budget of $8,250 million, which of the following is a possible way for the initiative to accomplish its goal without exceeding its budget?
Answer:Planting trees on 7 million hectares of land and purchasing 20 million hectares of land
Step-by-step explanation:
Planting trees on 7 million hectares of land and purchasing 20 million hectares of land
What is an Expression?
An expression is a number, a variable, or a combination of numbers and variables and operation symbols
How to solve it?Planting trees on 7 million hectares of land and purchasing 20 million hectares of land
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Ples help me
IF its wrong i will report u
ill give you the best if it right and who ever is first.
Answer:
A, B, and D are equal to 75%
Step-by-step explanation:
Hope it helps!
Answer:
B., A. and D.
Because they all equal 75%!
solving for a what's the answer D=Ga+3h^3a
Answer:
x+1>9 hahaahah........
4(x - 2) = 4x + 10
what’s the answer^^
Answer:
0
Step-by-step explanation:
Answer: There are no solutions.
Step-by-step explanation: 4(x−2)=4x+10
(4)(x)+(4)(−2)=4x+10
4x+−8=4x+10
4x−8=4x+10
4x−8−4x=4x+10−4x
−8+8=10+8
0=18
There are no solutions.
What is 50x50x50x50? I really need help.
Answer:
6,250,000
50x50x50x50 is 6,250,000
graph rational number of 0.9, -2/1/2, 0.25, -3/4 in number line
Answer:
Step-by-step explanation:
Given the rational number :
0.9, -2/1/2, 0.25, -3/4
Converting all to decimal;
0.9 = 0.9
-2 1/2 = - 2.5
0.25 = 0.25
-3/4 = - 0.75
Kindly check the ttcjed picture for the number line graoh
I need help with this
look at picture
Complementary angles
Answer:
77
Step-by-step explanation:
48 + (x-35) = 90
x-35 = 90-48
x-35 = 42
x = 42+35
x = 77
3/5 of Alice's stickers is twice as many as Berniece's stickers. Alice has 56 more stickers than Bernice.
(a) Find the ratio of Alice's number of stickers to Bernice's number of stickers.
(b) How many stickers does Bernice have?
beckys weight is 12% less than Bill's weight. Then Bill's weight is what percent of Becky's?
Answer:
whats the total wight of each person
Step-by-step explanation:
Any help? I'm having trouble.
Answer: Decay bc its less than 1.00 (proven by the exponential decay equation)
Step-by-step explanation:
percent would be 1.00-0.96= 0.04 , 4%
what is the value of 2/3 the power of 3
Answer:
The answer is 2 hope this helped!
Step-by-step explanation:
The Pythagorean theorem applies to
triangles
obtuse
right
acute
Answer:
Right triangles
Step-by-step explanation:
Answer:
Right Triangles
4.08 x 5.3 =
Show work
Answer:
21.62
Step-by-step explanation:
add them together
Answer:
21.62
Step-by-step explanation:
Simplify.
1.25x+7−3x−4+x
_____ x + ______
Answer:
:)
Step-by-step explanation:
ta da, hope this is what you're looking for
Answer:
0.75x+3
Step-by-step explanation:
In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260. Find the length of ZY to the nearest integer. (9th grade honors geometry)
Step-by-step explanation:
[tex] \tan(16) = \frac{y}{260 + x} \\ (260 + x) \times \tan(16) = y \\ 74.55 + 0.286x = y \\ y = 0.286x + 74.55[/tex]
[tex] \tan(42) = \frac{y}{x} \\0.9 x = y[/tex]
[tex]0.9x = 0.286x + 74.55 \\ 0.614x = 74.55 \\ x = 121.42[/tex]
[tex]y = 0.9x \\ y = 109.27 = 109[/tex]
The length of ZY is [tex]109.27[/tex]
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
What is length?
Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system the base unit for length is the meter.
According to question, In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260.
We have to find the the length of ZY.
Let the length of ZY be [tex]x[/tex] and WY be [tex]y[/tex]
From the given question and figure
[tex]tan16[/tex]°[tex]=\frac{y}{260+x}[/tex]
⇒[tex]tan16[/tex]°×[tex](260+x)=y[/tex]
⇒[tex]y=0.286x+74.55[/tex]
Now,[tex]tan42[/tex]°[tex]=\frac{y}{x}[/tex]
⇒[tex]y=0.9x[/tex]
From both the above equation,
[tex]0.9x=0.286x+74.55[/tex]
⇒[tex]x=121.42[/tex]
[tex]y=0.9x=109.27[/tex]
Hence, we can conclude that the length of ZY is [tex]109.27[/tex]
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Given that 2x – 7y = 30
Find y when x = = -3
Give your answer as an improper fraction in its simplest form.
y =
Answer:
x = -3; substitute it to the other equation.
2(-3) - 7y = 30
-6 - 7y = 30
-7y = 30 + 6
-7y = 36
y = -36/7
we will not round the number because the question is asking for an improper fraction at its simplest form.
Answer:
5.1
Step-by-step explanation:
2*-3 - 7y =30
-6 + 7y = 30
7y = 30 + 6
y = 36 / 7
i.e. y = 5.1
On the day a video was posted online, 5 people watched
the video. The next day the number of viewers had
doubled. Assume the number of viewers continues to
double each day.
1. On which day will 640 people see the video? Explain or show your reasoning.
2. what strategy would you use to find the first day when more than 20,000 people will see the video (if the trend continues)?
Answer:
128 days and 4000 days
Step-by-step explanation:
Hence on day 8, 640 views are obtained.
What is series ?a series is a crude description of the operation of adding infinitely many quantities to a given initial amount one after the other.
A series is systematic way in which numbers are arranged which are defined by a particular function.
How to solve?Given views pr day =5
everyday number of views double
hence series becomes=
[tex]=2^{0}*5+2^{1} *5+2^{2} * 5+2^3*5.....[/tex]
[tex]=5+2*5+4*5+8*5+16*5+32*5+64*5+128*5....[/tex]
now 640 people watch video
hence 640=128*5= day 8
Hence on day 8, 640 views are obtained.
Part 2 - To calculate for more than 20000 views one can apply GP FORMULA as the above series is geometric progression.
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Type your answer into the box.
The width of a cuboid is 5 metres, the length is 8 metres, and the height is 3 metres.
3 m
5 m
What is the volume of the cuboid?
a triangle with angles 40 and 50 and an included side length of 2 inches
Answer:
92
Step-by-step explanation:
really kidfhufnfhjaj
Which graph represents the function?
f(x)={3ifx<1xifx≥1
Answer: The graph in the bottom right corner.
Step-by-step explanation:
We have the function:
f(x) = 3 if x < 1.
f(x) = x if x ≥ 1
First, let's analyze each part of the function:
f(x) = 3 if x < 1.
We have a constant line y = 3, such that it ends at the point x = 1 with an open dot (or white dot) (because here we have the symbol <)
f(x) = x if x ≥ 1
From x = 1 and on, we have the line y = x, such that in the point x = 1 we will have a closed dot (or black dot) that means that the point does belong to the graph.
when x = 1, we have:
f(1) = 1
Then we will have the closed dot at the point (1, 1)
Then the correct option is the one in the bottom right.
Answer:
The answer is The graph on the bottom right
good luck!
If Pooh Bear spots a bee hive in a tree at an angle of elevation of 48 degrees, then what is the angle of depression of the Queen Bee who's on that same hive spots Pooh Bear? (Answer in degrees.)
Answer:
∅ = 90 - 48 = 42°
Step-by-step explanation:
Find the circumference of a circle with radius,
r
= 6.3m.
Give your answer rounded to 1 DP.
Answer:
366.6is your answer right answer right
2 i A rectangular swimming pool has a length of L yards and a width 4 yards less than its length. How much does it cost to border the outside of the pool using 1-yard square tiles that cost $6 each? • (4L-4) dollars • (24L – 24) dollars •(24L – 32) dollars •(24L - 48) dollars
Step-by-step explanation:
w= L-4
$(24L-48)
......
Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)
Answer: The is down there
Step-by-step explanation: Glad to help but hope it helps you.