Answer:
The first derivative of the given function
[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]
Step-by-step explanation:
Step(i):-
Given f(x) = ae⁻ᵇˣ ...( i )
we will use differentiation formula
[tex]\frac{d(e^{ax}) }{dx} = a e^{a x}[/tex]
Step(ii)
Differentiating equation (i) with respective to 'x', we get
[tex]\frac{df(x)}{dx} = a e^{-b x} \frac{d}{dx} (-b x )[/tex]
= -ab e⁻ᵇˣ
[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]
Final answer:-
The first derivative of the given function
[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]
If f(x) = 3^x
+ 10 x and g(x) = 5x - 3, find ( f - g )(x).
Subtract the functions to get that answer
(f - g)(x) = f(x) - g(x)
(f - g)(x) = [ f(x) ] - [ g(x) ]
(f - g)(x) = [ 3^x + 10x ] - [ 5x - 3 ]
(f - g)(x) = 3^x + 10x - 5x + 3
(f - g)(x) = 3^x + 5x + 3
Answer:
3^x+5x+3
Step-by-step explanation:
{(2,4) (3,9) (4,9)} is this a function?
Yes, considering the points, each input gives one output. Points would not be a function if the same input gave different outputs.
In the context of a graph, the points would be on the same vertical line.
Hope this helps.
頑張って!
Answer:
Yes
Step-by-step explanation:
A function is where there are no two of the same domain.
The Domain is the first coordinate which is x
ILL GIVE YOU BRAINLIST !!! SHOW WORK
Answer:
The answer is
15Step-by-step explanation:
[tex]w(t) = - 2t + 1[/tex]
To find w(- 7) substitute the value of t that's - 7 into w(t) that's for every t in w(t) replace it with - 7
That's
[tex]w( - 7) = - 2( - 7) + 1 \\ = 14 + 1[/tex]
We have the final answer as
15Hope this helps you
Answer:
w=15
Step-by-step explanation:
w(t)=−2t+1
w(−7)=−2(−7)+1
=14+1
=15
Which property is shown below 7n=22 then n=3
Answer:
Substitution property.
Step-by-step explanation:
You have to substitute n to get the answer therefore, substitution.
1. What is the value of 9 squared?
A. 9
B. 18
C. 81
D.36
2. Simplify. Use paper and pencil or a model. 10^3
A. 10
B. 100
C. 1000
D. 10000
3. Use a factor tree to find the prime factorization of 96. Write the prime factorization using exponents.
A. 2^3 • 6^2
B. 2^5 • 4^2
C. 2^5 • 3
D. 3 • 5^2
Answer:
1 is c
2 is d
3 is a
Step-by-step explanation:
because 9×9 is 81
2 is 10 with 3 0 so 10000
d is a because that is the factor tree
The square of the number 9 is 81.
We need to find the value of 9 squared.
What is the square of a number?When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers.
Now, the square of 9 is 9²=9×9=81
Therefore, the square of the number 9 is 81.
Simplify 10³:
That is, 10³=10×10×10=1000
So, the simplified form of 10³ is 1000.
We need to prime factorise 96:
That is, 96=2×2×2×2×2×3
=[tex]2^{5} . 3[/tex]
Therefore, the square of the number 9 is 81.
To learn more about the square of a number visit:
https://brainly.com/question/17749819.
#SPJ2
4+-6 evaluate dnjdjdjsjsjsnsnnsnssnsnsnsnsnsnsnnsnsn
Adding a negative number is the same as subtracting a positive number.
4 + (-6)
= 4 - 6
= -2
Best of Luck!
answer this for 18 points btw theres no fractions decimals just normal find th value of x
Answer:
x = 28°Step-by-step explanation:
From the question the figure above is a triangle.
The sum of angles in a triangle add up to 180°
To find the value of x add up all the angles and equate them to 180 to find the value of x
We have
50 + 2x + 3x - 10 = 180
5x + 40 = 180
5x = 180 - 40
5x = 140
Divide both sides by 5
We have the final answer as
x = 28°Hope this helps you
What number comes next 57, 49, 41, 33, 25_
Answer:
18 I guess
Step-by-step explanation:
because we are subtracting all the number by 8
To find the common difference since all the values go done, we can subtract each value.
57 - 49 = 8
49 - 41 = 8
41 - 33 = 8
33 - 25 = 8
The common difference is 8 so to find the next number, all we need to do is subtract the last number by 8.
25 - 8 = 17
Therefore, the answer is 17
Best of Luck!
The equation of a line in point-slope form is
y – 5 = 3(x + 1).
A point that lies on this line is
Answer:
(-1,5)
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Answer:
its A (-1,5)
Step-by-step explanation:
Find the dimensions of a triangle given the base, height, and area. b=8 inches h=7 inches A=28 square inches
Answer:
Step-by-step explanation:
The area of a triangle of base 8 in, and height 7 in, is
A = (1/2)(base)(height) = (1/2)(8 in)(7 in) = 28 in^2. This matches the given 28th in^2.
what is the midpoint of 3,7 and -2,3
Answer:
(1.5) (2.2)
Step-by-step explanation:
SHOULD BE CORRECT
I HAD THAT QUESTION YESTERDAY AND MY TEACHER SAID IT WAS RIGHT ♀️
Answer:
(1/2,5)
Step-by-step explanation:
Midpoint formula is (x1+x2)/2,(y1+y2)/2
(3-2)/2 , (7+3)/2
=(1/2,5)
Might be wrong, though.
According to the US Department of Agriculture, in 2011, the cost of raising a child from birth to eighteen years of age was approximately _____. A.$126,450 B.$54,300 C.$24,630 D.$163,440
Answer:
54,300
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
How many dots are in pattern 1
3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lonnte must purchase
at least thirteen items. Which is a combination of movies and newly released video games that Lonnie could purchase using his gift card? (2 points)
6 movies and 4 video games
14 movie and 7 video games
O O O O
2 movies and 10 video games
8 movies and 6 video games
Answer:
8 movies and 6 video games
Step-by-step explanation:
Given
[tex]Gift\ Card = \$600[/tex]
[tex]Movies =\ $20[/tex]
[tex]Video\ Game = \$50[/tex]
[tex]Minimum\ Items = 13[/tex]
Required
Determine the items Lonnie can afford
To solve this question, we make use of trial by error method by taking the options one at a time:
Option 1: 6 movies and 4 video games
This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.
Option 2: 14 movies and 7 video games
[tex]Cost = 14 * \$20 + 7 * \$50[/tex]
[tex]Cost = \$280 + \$350[/tex]
[tex]Cost = \$630[/tex]
This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.
Option 3: 2 movies and 10 video games
This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.
Option 4: 8 movies and 6 video games
[tex]Cost = 8 * \$20 + 6 * \$50[/tex]
[tex]Cost = \$160 + \$300[/tex]
[tex]Cost = \$460[/tex]
Hence, the correct option is 8 movies and 6 video games
whats the mean for this data? round to 2 decimals places
Answer:
1992.38
Step-by-step explanation:
The mean, or average, of a set of data points is found by adding all the values together and dividing by the number of values.
Sum:
1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14 = 23908.56
Divide:
There are 12 numbers, so divide 23908.56 by 12:
23908.56 / 12 = 1992.38
The average is thus 1992.38.
~ an aesthetics lover
Answer:
1992.38
Step-by-step explanation:
To find the mean, simply add all the numbers together, and divide by the amount of numbers there is:
(1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14)/12 = (23908.56)/12 = 1992.38
1992.38 is your answer.
~
Simplify. 2 x (3-1) + 3
Steps to solve:
2 * (3 - 1) + 3
~Simplify
2 * (2) + 3
~Multiply
4 + 3
~Add
7
Best of Luck!
What is the domain of the function represented by the graph?
Answer:
im not real sure but i wish i could help
Step-by-step explanation:
Consider the positively charged particles seen here. The magnitude of their combined charges is represented by the vector arrow. If one charged particle is removed, what will be the result on the force field and how will it be illustrated? A) remain constant; no change in vector B) decreases by one; arrow length decreases by 1/3 C) decreases by one but arrow length remains constant D) decreases by a factor of 2; arrow changes direction
B)decreases by one; arrow length decreases by 1/3
Answer:
B)decreases by one; arrow length decreases by 1/3
Step-by-step explanation:
Hey can someone help me with this?
Answer:
m∠MON = 24°
Step-by-step explanation:
m∠LOM and m∠MON add up to 90°.
Step 1: Find x
2x + 46 + 3x - 6 = 90
5x + 40 = 90
5x = 50
x = 10
Step 2: Find m∠MON
m∠MON = 3x - 6
m∠MON = 3(10) - 6
m∠MON = 30 - 6
m∠MON = 24°
HELP ME ON THIS QUESTION PLEASE HELP ME I WOULD REALLY APPRECIATE IT THANK YOU
Answer:
I think c=a-7
Step-by-step explanation:
You would the equation a=b+9 to b=a-9. Then you would add 2 to -9 to get -7. So c=a-7.
The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sciences Center. The researchers wanted to assess competence in performing clinical breast examinations. One of the baseline measurements was the number of such examinations performed.
The following data give the number of breast examinations performed for this sample of 10 interns.
Intern Number No. of Breast Exams Performed
1 30
2 40
3 8
4 20
5 26
6 35
7 35
8 20
9 25
10 20
Source: Lorraine Dugoff, Mauritha R. Everett, Louis Vontver, and Gwyn E. Barley, "Evaluation of Pelvic and Breast Examination Skills of Interns in Obstetrics and Gynecology and Internal Medicine," American Journal of Obstetrics and Gynecology, 189 (2003), 655-658. 6.4 CONFIDENCE INTERVAL FOR THE DIFFERENCE BETWEEN TWO POPULATION MEANS 177 Construct a 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn.
Answer:
The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).
Step-by-step explanation:
Intern No. of Breast
Number Exams Performed X²
1 30 900
2 40 1600
3 8 64
4 20 400
5 26 676
6 35 1225
7 35 1225
8 20 400
9 25 625
10 20 400
∑ 259 ∑ 7515
Mean= X`= ∑x/n= 259/10= 25.9
Variance = s²= 1/n-1[∑X²- (∑x)²/n]
= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]
= 806.9/9=89.655= 89.66
Standard Deviation= √89.655= 9.4687
Hence
The value of t with significance level alpha= 0.05 and 9 degrees of freedom is t(0.025,9)= 2.262
The 95 % Confidence interval is given by
x`±t(∝,n-1) s/√n
So Putting the values
25.9± 2.262( 9.4687/√10)
= 25.9 ±2.262 (2.9943)
= 25.9 ± 6.7730
= 25.9 +6.7730=32.6730
25.9 -6.7730= 19.1269
= 19.1269, 32.6730
The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).
Find the domain of the function. (Enter your answers using interval notation.) f(s, t) = square root of s^2+t^2.
Answer:
[tex]S=\{\forall \,s,t\in \mathbb{R}|s\in(-\infty,+\infty), t\in(-\infty,+\infty)\}[/tex]
Step-by-step explanation:
Let be [tex]f(s,t) = \sqrt{s^{2}+t^{2}}[/tex], the range of a square root compehends the subset of positive real numbers plus zero. Likewise, the range of the square of any number has the same subset with all real set as domain. As square root encloses a sum of squares, the domain of the function is:
[tex]S=\{\forall \,s,t\in \mathbb{R}|s\in(-\infty,+\infty), t\in(-\infty,+\infty)\}[/tex]
9.
Each candy bar from a bin at a candy store costs the same amount. The table shows how many
candy bars four customers purchase from the bin and the total cost of the candy bars.
Customer Number of Candy Bars Total Cost of Candy Bars
1
8
516
2
22
?
3
13
526
?
$32
Which statement is true?
4
A The 22 candy bars purchased by Customer 2 cost $21, and Customer 4 purchased 19 candy
bars for $32
B The 22 candy bars purchased by Customer 2 cost $21. and Customer + purchased 16 Candy
bars for $32
C The 22 candy bars purchased by Customer 2 cost $44. and Customer 4 purchased 19 candy
bars for $32
D The 22 candy bars purchased by Customer 2 cost $44, and Customer 4 purchased 16 candy
bars for $32
a rectangular piece of paper 71 cm long and 10m wide . a cylinder is formed by rolling the paper along its length , find volume ??
Answer:
Volume=355 cm³
Step-by-step explanation:
I assume it should be 10 cm, not 10 m. If it is 10 m, everything will have to be adjusted.
Circumference = 2[tex]\pi[/tex]r
10=2[tex]\pi[/tex]r
10÷2[tex]\pi[/tex]=r
1.59=r
V=[tex]\pi[/tex]r²h
V=[tex]\pi[/tex](1.59)(71)
v=355
1/2 - 1/12=????????
Answer:
5/12
Step-by-step explanation:
Subtract.
[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{12}[/tex] = [tex]\frac{5}{12}[/tex]
You can not simplify, so that is your answer.
Here to help!
Answer:
5/12
Step-by-step explanation:
6-1/12
5/12
A population of beetles are growing according to a linear growth model. The initial population (week 0) is p0=6 and the population after 7 weeks is p7=83 find an explicit formula for the beetle population after n weeks.
Answer:
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Step-by-step explanation:
Population of beetles in Week 0= 6
Population of beetles in Week 7= 83
From week 0 to week 7 there are 8 weeks.
But subtracting population of week 0 from population of week 7 gives
= 83-6
= 77
After the subtraction, we have 7 weeks remaining.
Dividing the remaining population by the number of weeks remaining
=77/7
= 11
For n number of weeks, population p of beetles
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Evaluate 8 - 12 divided by 2 + 3
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{ - 4}{5} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{8 - 12}{2 + 3} }[/tex]
Subtract 12 from 8
[tex] \dashrightarrow{ \sf{ \frac{ - 4}{2 + 3} }}[/tex]
Add the numbers : 2 and 3
[tex] \dashrightarrow{ \sf{ \frac{ - 4}{5} }}[/tex]
Hope I helped!
Best regards! :D
Your family is planning a vacation for spring break and want to get the best deal. Option
A costs $479 per night and includes airfare in the cost. Option B costs $129 per night
but will cost your family $1750 in airfare. How many nights will your family have to stay
in order for the vations to cost the same amount of money?
Answer:
Step-by-step explanation:
5 nights
The family have to stay 5 nights in order to cost the same amount of money.
Function in one variable:Let us consider that family is staying for x night.
Given that, Option A costs $479 per night and includes airfare in the cost.
So that, [tex]A(x)=479x[/tex]
Also Option B costs $129 per night but will cost your family $1750 in airfare.
So that, [tex]B(x)=129x+1750[/tex]
for the cost of same amount of money,
[tex]A(x)=B(x)\\\\479x=129x+1750\\\\479x-129x=1750\\\\350x=1750\\\\x=1750/350=5[/tex]
The family have to stay 5 nights in order to cost the same amount of money.
Learn more about the linear function here:
https://brainly.com/question/15602982
How many seconds are in 9 days? Show conversion factors and solve.
1 1/3 divided by 3/5
Answer: [tex]2\frac{2}{9}[/tex]
Convert all Mixed Numbers into an Improper Fraction
Multiply 1×3 and get 3. Now add 3+1 and get 4.
1 1/3 = 4/3
Do Keep Change Flip (KCF)
Keep: 4/3
Change: ÷ into ×
Flip: 3/5 into 5/3
Multiply
[tex]\frac{4}{3}*\frac{5}{3}=\frac{20}{9}[/tex]
Divide
[tex]\frac{20}{9}=2\frac{2}{9}[/tex]
Q: How does 20/9 equal 2 2/9?
A: Divide 9 and 20 and get 2 r2 (r = remainder). The 2 becomes the mixed number. The remainder becomes the numerator. 9 becomes the denominator.