If the exponential model f(x)=3(2)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?
Answers
Answer:
Answer in pic
Step-by-step explanation:
The required value of A₀ = 3 and k = ln 2, as of the given exponential model.
What is an exponential function?The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
Since.
[tex]a^x = e^{xlna}[/tex]
According to the question,
[tex]3(2)^x = A_oe^{kx}\\3e^{xln2} = A_oe^{kx}[/tex]
Now
Compare the values,
A₀ = 3 and k = ln 2,
Thus, According to the stated exponential model, A0 = 3 and k = ln 2.
Learn more about exponential function here:
brainly.com/question/15352175
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Related Questions
on a certain map, 3/4 inch represents a distance of 150 miles. what distance d, in terms of x, is represented by x inches on the map
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Answer:
x=80
Step-by-step explanation:
Cos15°°- Sin 15°= 1/√2
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Hope it's help you
Simplify (5 square root 2 - 1 ) ^2
Answers
Answer:
576
Step-by-step explanation:
5 square root 2 is 25
25 minus 1 is 24
24 square root 2 is 576
Answer:
25
Step-by-step explanation:
[tex](5\sqrt{(2-1)} ^{2}[/tex]
[tex](5\sqrt{1}) ^{2}[/tex]
Mrs.Montana has five students namely:rodley,cristina,christian,elsa and made .Count all the letters in each name.In which of the following sets the order of the names least to greatest.
ARodley,cristina,Christian,mae,elsa
Bcristina,Christian elsa mae rodley
c Mae elsa rodley cristina Christian
D Christian Cristina rodley mae elsa
Answers
Answer:
C
Step-by-step explanation:
Mae, Elsa, Rodley, Cristina, Christian
can you do 3 pages of work for me?
Answers
Answer:
if it is easy i can do it
hope it helps
Answer:
3
Step-by-step explanation:
I will help
I’ll give u brainlest if u answer this question
Answers
PLEASE ANSWER DUE IN 20 MINUTES
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you have to add the two angles of the triangle together.. and then subtract that number by 180… then since the lines are parallel.. it is the same angle… i hope that makes sense :))
please help ill give brainliest I need this answer
Answers
Answer:50
Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50
Answer:
50°
Step-by-step explanation:
These 2 angles are vertically opposite, meaning they equal each other.
This gives the equation 9x-4=7x+8.
Subtracting 7x from both sides gives 2x-4=8.
From there, you want to add 4 to both sides, leaving 2x=12.
In order to isolate the x, divide both sides by 2. This creates a final result of x=6.
We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.
We can then solve this to 8+42, and even further to 50°.
**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!
Debbie did a survey of how many states the members of her class had visited. The results were: 10, 15, 23, 2, 21, 31, 14, 10,
8.17, 11, 19.8.42.15. 22. 6, 34, 19.3, 24,
What is the five-number summary for this set of data?
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Answer:
Step-by-step explanation:
11 22 6 34 19
A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses:
14, 6, 18, 15, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
Median: hours
?
Mean: [hours
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If the profits in your consulting business increase by 6% one year and decrease by 3% the following year, your profits are up by 3% over two years
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Answer:
its 1.388 p
Step-by-step explanation:
i hope this helps
Tính I = tích phân ( x^2 - 3xy) dx + ( x-y) dy với đường cung định hướng AB là ve tẻ nối điểm A ( 2,3 ) và B ( 1 , 1 )
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What is the first step in using the square root property?
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Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.
Step-by-step explanation:
To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.
HELP!! FAST!!
Which represents a recursion function?
A. Xn = f(Xn)
B. Xn = f(X0)
C. Xn = f(a1)
D. Xn = f(Xn-1)
(Picture added for more info)
Answers
Answer: Choice D
[tex]x_n = f(x_{n-1})[/tex]
This basically says "the nth term is found by computing math, aka evaluating some function, based on the (n-1)th term".
As an example, we could have a function that simply squares the input
Let's say we started at 5. It squares to 25 which in turns squares to 625, and so on. Each new term is based on the old term. Namely, we squared the old n-1 term to get the new nth term.
Should I get my nose pierced??
Answers
Answer:
no...you can just use a clip on
Answer:
it's absolutely worth it. The pain of getting one isn't that bad, at least for me. It's just a quick pinch. It'll look so good. Just make sure you are also cleaning it.
Step-by-step explanation:
p(d + x) = 2x + 3
Which equation is correctly rewritten to solve for d?
Answers
Answer:
d = [tex]\frac{2x + 3}{p}[/tex] - x
Step-by-step explanation:
First divide both sides by p.
then subtract x from both sides
Answer:
[tex]\displaystyle d = \frac{2x + 3}{d} - x[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle p(d + x) = 2x + 3[/tex]
Step 2: Solve for d
[Division Property of Equality] Divide p on both sides: [tex]\displaystyle d + x = \frac{2x + 3}{d}[/tex][Subtraction Property of Equality] Subtract x on both sides: [tex]\displaystyle d = \frac{2x + 3}{d} - x[/tex]Find all solutions to the equation.
sin x = square root of three divided by two.
Answers
Answer:
x = 60°
Step-by-step explanation:
Special Angles :
sin = opposite divided by hypotenuse
opposite of angle 60° is square root of three
hypotenuse is two
Answer:
x=60+k.360 or x =120+k.360
Step-by-step explanation:
[tex]sin x = \frac{ \sqrt{3} }{2 \\ ?} [/tex][tex]ref \: angle = 60 \\ x = 120+ k.360 \\ x = 60 + k360[/tex]k€zPlease help ASAP!!!
Answers
Answer:
C.
Step-by-step explanation:
When you replace x with x - h, the graph shifts h units horizontally.
Here, x is replaced by x - 12.
Compare x - 12 to x - h.
h = 12
The graph shifts 12 units to the right.
Answer:
answer maybe A..not sure but it might be in my opinion..
3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?
Answers
Answer:
t = -1
c = 6
s = 8.2 or 8 1/5 (same thing just different notation)
Step-by-step explanation:
3(t+4) = 9
3t + 12 = 9
3t = -3
t = -1
-(c-6) = 0
-c + 6 = 0
-c = -6
c = 6
-10(s+4) = -122
-10s - 40 = -122
-10s = -82
10s = 82
s = 82/10 = 8.2 or 8 2/10 or 8 1/5
how to solve letters and numbers in a box
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If f(x) = 3x⁴ - 13x, find f(-2)
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Answer:
answer is
74....................
Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1
Answers
Answers:
10 people absent15 people working in the field onlySee the below image for the venn diagram=======================================================
Explanation:
35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the officeSo far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.
The remaining 90-80 = 10 people are absent.
The venn diagram is below.
Determine the number of solutions to the given system without graphing. 2x + y = 2 2x +y = 5
one solution
no solution
infinite number of solutions
Answers
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The two lines are parallel, so do not intersect. There is no solution.
100 Brainly points!!!!
In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.
Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•
& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).
Answers
Answer:
Point A’ is at (-2,-2)
& point D' is at (4,-2)
Step-by-step explanation:
Point A’ => (-1×2, -1×2) => (-2 , -2)
Point D' => (2×2 , -1×2) => (4 , -2)
A is at (-1,-1)
So A' is at
2(-1,-1)(-2,-2)D is at
(2,-1)D' is at.
2(2,-1)(4,-2)cort
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
What is the range?
Answers
Answer:
The mode is 7 and 8
The mean is 5.2
The range is 7
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 590(1.79)
Answers
Answer:
growth
79% rate of increase
Step-by-step explanation:
1.79 is > than 1
therefor growth
1.79 = 79% rate of increase
Given m||n, find the value of x and y
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Hope this might help you (•.•) :)
Which expression represents the area in square centimeters of the new cup opening? Use A=2
Answers
Answer:
A = πx² - 2πx + π
Step-by-step explanation:
The area of the new cup opening :
We are given the area formula to use :
Area, A = πr²
r = Radius = x-1
Area = π(x - 1)²
A = π(x - 1)(x - 1)
A = π(x² - x - x + 1)
A =π(x² - 2x + 1)
A = πx² - 2πx + π
mnv
[tex]2 \times \frac{7}{?} = 4[/tex]
Answers
Answer:
? = 7/2
Step-by-step explanation:
? = x
a denominator can’t be equal to 0
x ≠ 0
14/x = 4
14 = 4x
x = 7/2
12. Mr. Ellis bought several rose bushes
for $65 each. He was charged a $15
delivery fee. If r represents the number
of rose bushes, which expression
can be used to find the total cost of
Mr. Ellis' purchase?
A 150 - 65
B 65r + 15
c 15(r + 65)
D 651 - 15
Answers
Answer:
B
Step-by-step explanation:
Because every rose bush costs $65 and it's charged with a $15 delivery fee.
