Answer:
24234221111111111111111111111
Step-by-step explanation:
Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.
a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .
Answer:
A) M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f'(1) = e' [sin(1) + cos(1) ]
D) g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
Step-by-step explanation:
Attached below is the detailed solution of the problem
A) m(w) = 3w^17 * 4^w
M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h(t) = [sin(t) + cos(t) ] t^4
h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f(x) = e^x sin (x). at a = -1
f'(1) = e' [sin(1) + cos(1) ]
D) g (x) = ( x^2 + x ) 2^x .
g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
instructions: analyze the diagram below and complete the instructions that follow
Answer:
75°
Step-by-step explanation:
x+60=5x. (vertical angles)
4x=60
x=15
m<GJI = x+60
=15+60 = 75°
Write 1 fifth (1|5)
as a decimal.
Answer:
The answer is 0.2
Step-by-step explanation:
=1/5
=1 Divided by 5
=0.2
This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 66 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into nn sub-intervals. On the previous problem, you found the probability pp of one arrival during a single sub-interval for each n given. Now, compute the (estimated) probability that there will be, in fact, exactly 6 arrivals during a 30 minute interval, with each probability model:
a. Using Binomial with n=30, the chance of 6 arrivals is estimated as:__________
b. Using Binomial with n=60, the chance of 6 arrivals is estimated as:__________
c. Using Binomial with n=100n=100, the chance of 6 arrivals is estimated as:________
d. Using Poisson, the chance of 6 arrivals is estimated as:________
Required:
Use a probability calculator, and enter answers in decimal form, rounded to at least four places after the decimal.
Answer:
1. 0.1795
2. 0.1693
3. 0.1657
4. 0.1606
Step-by-step explanation:
This problem was solved using the binomial distribution
1.
N = 30
P = 6/30 = 0.2
Using binomial distribution
30C6 x 0.2⁶ x 0.8²⁴
= 593775 x 0.000064 x 0.004722
= 0.1795
2.
N = 60
P = 6/60 = 0.1
60C6 x 0.1⁶ x 0.9⁵⁴
= 50063860 x 0.000001 x 0.00338139
= 0.1693
3.
N = 100
100C6 x 0.06⁶ x 0.94⁹⁴
= 1192052400 x 0.000000046656 x 0.00297864
= 0.1657
4.
Poisson distribution was used here
e^-6(6)⁶/6!
= 0.1606
I need help please help me out .
NEED A MATH TUTOR ASAP !!!
tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?
Answer:
$22
Step-by-step explanation:
20 * 1.10 = 22
please help!!!!!!!!!!!!! will give brainliest.
Answer:
x<9 and x>1/13
1/13<x<9
Step-by-step explanation:
First, let's find the value of x in the first equation:
6((x-1)/2-(x-3)/3)<2*6
(3x-3)-(2x-6)<12
3x-3-2x+6<12
x+3<12
x<9
Now, let's find the value of x in the second equation:
13x-1>0
13x>1
x>1/13
Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.
Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable
Answer:
The input of the function
Step-by-step explanation:
-167-(-12)=
answer it idk
Answer:
155
Step-by-step explanation:
All you do is subtract negetive 167 and take -12 away from 167.
Write each phrase as an expression.
Double the sum of x and 4.
your answer should be 2(x+4)
what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2.
Answer: the answer is -947 hope this helped.
Step-by-step explanation:
explain how you would use the communitive property of multiplication to aswer 7x3.
Answer:
since 7 times 3 is 21
Step-by-step explanation:
it would be 7+7+7 becuase you do seven times 3
hope that helped!
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?
Answer: y=1/4x - 2
Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.
Hope this helps,
Lacia :))
Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?
What is
What is the measure of angle B?
A. 30°
C. 35°
Answer:
A
Step-by-step explanation:
What is the value of name and tell the value of the underline digit. The number is 25,678 the underline digit is 5.
Vladimir buys 1.20 pounds of Skittles, 3 1/2 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and the pretzels cost $1.10 a pound, how much did Vladimir spend?
Answer: 12.2408
Step-by-step explanation: This is what I got I hope I got it right:)
Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.
Claire wants to determine how her math score 690 on a standardized college entrance exam compared to her mother score 680 what she took the exam 20 years earlier the year Clair took the exam the mean math score was 510 with a standard deviation of 110 points on Claires mother took the exam the mean math score was 490 with a standard deviation of 100 points who has the better relative performance
Answer:
Claires mother did better because her z score was greater than Claires
Step-by-step explanation:
I j took the quiz
Claire's mother did better because her z-score was greater than that of Claires.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
As per the given information, the solution would be as
Here is Claire's data:
ц₁ = 510
σ₁ = 110
X₁ = 690
⇒ z-score = (X₁-ц₁ )/σ₁
Substitute the values,
⇒ z-score = (690 - 510)/110
⇒ z-score = 180/110
⇒ z-score = 1.636
Here is Claire's mother's data:
ц = 490
σ₂ = 100
X₂ = 680
⇒ z-score = (X₂-ц )/σ₂
Substitute the values,
⇒ z-score = (680 - 490)/100
⇒ z-score = 190/100
⇒ z-score = 1.9
So Claire's mother's z-score > Claire's z-score
Therefore, Claire's mother did better because her z-score was greater than that of Claires.
Learn more about the z-score here:
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Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.
Answer:
18 weeks
Step-by-step explanation:im gay
PLEASE HELP ASAP ITS DUE SOON
Lines R and S are parallel Find the value of x, then find the measure of m<1 and m<2.
m<1=(70-2x)"
m<2 = (82-3x)
x=
m<1=
m<2=
m<1 and m<2 are corresponding angle
Answer:
im very confused aadly
f(x)=x+3
g(x)=2x
its combining funtions please help
list four advantages and disadvantages of measures of location
Step-by-step explanation:
Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.
10/3 = x/ (-5/2) what does x equal
The answer to the equation is [tex]x=-\frac{25}{3}[/tex]
First, you must cross multiply the fractions.
[tex]10*-\frac{5}{2} =x*3[/tex]
[tex]-25=3x[/tex]
Then, you must flip the equation.
[tex]3x=-25[/tex]
Finally, divide 3 on each side
[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]
[tex]x=-\frac{25}{3}[/tex]
is f(x)=5x^2+6x^3 a polynomial function
Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?
Answer:
Mr watts needs 7 weeks
Step-by-step explanation:
The average expense per presentation = $20,000
Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000
Also the cost of meals, motels, jet travel, and support personnel total $60,000 per week. Hence the total cost per week is:
Total cost = $140000 + $60000 = $200000
The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:
Revenue per week = $40 per person × 1000 people × 7 days = $280000
Let assume the number of weeks needed to earn $560000 be x. Hence:
280000x - 200000x = 560000
80000x = 560000
x = 7
Which of the following numbers is irrational?
How do you Graph: -3x – 2y = -8
Answer:
I hope this helps!
Answer:
y = -2/3x +4 --> y = mx+b form
Step-by-step explanation:
-3x-2y = -8 --> add 3x to both side
-2y = 3x-8 --> divide by -2 on both side
y = -2/3x +4 --> y = mx+b form
the y intercept is 4 and the slope is -2/3, down 2, right 3.
therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.
Two parallel lines are crossed by a transversal,
What is the value of x?
x = 21
x = 28
x=35
115
x 37
The solution is, the value of x is, 115, as Angle x = angle 115°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Given : Two parallel lines are crossed by a transversal.
To find : What is the value of x.
Solution : We have given Two parallel lines are crossed by a transversal.
Corresponding angles : A pair of angle that lies on the same side of the transversal line one lies on interior angle and other lies on exterior.
Corresponding angle are equal.
Then , angle x = angle 115 are corresponding.
Therefore, angle x = angle 115.
To learn more on angle click:
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I need help !!!!!!!
Given , KM = 22
Then JL =
This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,
KM = JL ( the diagonals in an isosceles trapezoid are congruent )
22 = JL
JL = 22
Therefore , JL = 22 .
Solution (6) :Given , DF = 8.7
Then , EG =
Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,
DF = EG ( the diagonals in an isosceles trapezoid are congruent )
8.7 = EG
EG = 8.7
Therefore , EG = 8.7 .