2.4 please follow mee i think this is answer
The value of coin A is twice the value of coin B. Together, the total value of the two coins is $30.00 What is the value of each coin?
Define the function
3
g(x) = x^3+ x
. If
f(x) = g^-1(x)
and
f(2) = 1
what is the value of
f'(2)
?
Given that
[tex]g(x) = x^3 + x[/tex]
the inverse [tex]g^{-1}(x)[/tex] is such that
[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]
or
[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]
Differentiating both sides using the chain rule gives
[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]
Then the derivative of f at 2 is
[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]
The Earth rotates at a unit rate of
.25 degrees per minute. How much
does the earth rotate in half of an
hour?
Answer:
it will rotate 7.5 degrees
Step-by-step explanation:
simplify the expression 6y-2y(x+1)
Answer:
2. 4y-2xy
Step-by-step explanation:
6y-2y(x+1)=6y-2xy-2y
=4y-2xy
Tìm ma trận X thỏa:1264X315
pogpogii mooooooooooo
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
Answer:
y=-x+pi/3+sqrt(3)/2
Step-by-step explanation:
*I assume you are asking for help on part a because the other question is a calculator question.*
We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.
First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)
Differentiate using chain rule:
y'=2cos(2x)
y' gives us the slope for any tangent along our curve.
So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.
We also need to know a point our line to find the equation of our line.
At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.
So a point on our line is (pi/3, sqrt(3)/2).
So by point-slope form of a line we have
y-y1=m(x-x1)
y-sqrt(3)/2=-1(x-pi/3)
Distribute:
y-sqrt(3)/2=-x+pi/3
Add sqrt(3)/2 on both sides:
y=-x+pi/3+sqrt(3)/2
Answer:
y= -x+(pi/3)+(sqrt3)/2
Step-by-step explanation:
The given is y=2sin(x)*cos(x)
to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get
y'=2(sin(x)*-sin(x)+cos(x)*cos(x))
this would simplify to be
y'=-2sin^2(x)+2cos^2(x)
We then substitute in the given x value to find the slope of the tangent line at that point and get
-2sin^2(pi/3)+2cos^2(pi/3)
which simplifies to
-2*3/4+2*1/4
which is -1
Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)
now we write the point slope form equation
y-(sqrt3)/2= -(x-pi/3)
y-(sqrt 3)/2 = -x+pi/3
y= -x+pi/3+(sqrt3)/2
you could simplify the last two terms, but I think it is simplest to understand this way.
For b, enter both equations into graphing software or a calculator
five times x equals one
Answer:
x=0.2
Step-by-step explanation:
1 / 5 = 0.2
therefore
5 x 0.2 = 1
2. At the gym, Alex spends 24 minutes doing
resistance training for every 30 minutes
spent doing cardio exercises, Carisa spends
15 minutes on resistance for every
20 minutes on cardio, and Manuel spends
14 minutes on resistance for every
15 minutes on cardio. Which person has the
greatest ratio of minutes spent on resistance
to minutes spent on cardio? (Example 2)
Alex
Resistance (min)
Cardio (min)
Carisa
Resistance (min)
Cardio (min)
Manuel
Resistance (min)
Cardio (min)
Answer:
Manuel
Step-by-step explanation:
You should set up a proportion graph first such as r:c where r is the amount of minutes spent on resistance and c is the amount of minutes spent on cardio.
Alex's ratio: 24:30
Carisa's ratio: 15:20
Manuel's ratio: 14:15
Now you have to find the lowest common multiple (lcm) of the cardio minutes. Their lcm is 60. Now the ratios look like this:
Alex's ratio: 48:60
Carisa's ratio: 45:60
Manuel's ratio: 56:60
The ratio with the highest first number is considered larger. In this case its Manuel since he has the number 56.
a jacket is on sale for $170. this is 80% of the regular price. what is the regular price
Answer:
$212.5
Step-by-step explanation:
x= 100*170/80
x= 17000/80
x= 212.5
Which equation in standard form has a graph that passes through the point (15,3) and has a slope of ¼?
Answer:
2y - 9x - 40 = 0
Step-by-step explanation: i already done the test
¿Cuántas hipotenusa tiene el triangulo rectángulo?
Answer:
Step-by-step explanation:
Only one hypotenuse and it lies opposite to the right angle.
why is this an impossible sequence to solve?
3x + 1 ?
thanks
Answer:
[tex]T(x)=\begin{cases}\frac{3x+1}{2} & x\text{ is odd} \\ \frac{x}{2} & x\text{ is even}\end{cases} \\ for \: instance \: start \: with \: 7 \: \\ which \: is \: an \: odd \: number \\ \frac{21 + 1}{2} = \frac{22}{2} = 11 \\ 11 \: is \: odd \\ \frac{11 + 1}{2} = 6\\ 6 \: is \: even \\ \frac{6}{2} = 3 \\ 3\: is \: odd \\ \frac{9 + 1}{2} = 5 \: \\ 5 \: is \: odd\\ \frac{15 + 1}{2} = 8 \\ 8 \: is \: even \\ \frac{8}{2} = 4 \\ 4 \: is \: even \\ \frac{4}{2} = 2 \: then \: 1 \\ [/tex]
Step-by-step explanation:
Can we connect to 1 for all numbers?
A general proof for a simple pattern seems almost impossible, probably a new branch of mathematics maybe needed to tackle this conjecture...
The square root of 75 is closet to wich is not following
Answer:
B.) 9
Step-by-step explanation:
The square root of 75 is 8.660254038 (or 8.6). The 6 tells us that we need to round up to a whole number which makes it the closest to 9
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in T(d) for the interval d = 4 and d = 10 is 0. Which statement must be true?The same number of tickets was sold on the fourth day and tenth day.No tickets were sold on the fourth day and tenth day.Fewer tickets were sold on the fourth day than on the tenth day.More tickets were sold on the fourth day than on the tenth day.
Answer:
The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.
If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.
Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."
Answer:
In simpler terms, for the edge answer;
A. The same number of tickets was sold on the fourth day and tenth day.
- _ - long answers scare me...
Step-by-step explanation:
edg- answers ;p
26-14-(-6)+(-7)-11
Please help
Answer:
0
Step-by-step explanation:
G
E
M
D
A
S
26 - 14 - (-6) + (-7) - 11
26 - 14 = 12
12 - (-6) + (-7) - 11
12 - 1 = 11
11 - 11 = 0
A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) Simplify and give your answer as a simplified mixed number. (c) What is the change in volume of the solution after 10 minutes? Show necessary work. Give your answer as a simplified mixed number.
The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.
Entry rate = [tex] 16 \frac{3}{4} [/tex] per minute Discharge rate = [tex] 19 \frac{4}{5} [/tex] per minuteChange in the volume of solution in the tank per minute can be calculated thus :
Change in volume = (Entry rate - Discharge rate) × time [tex] 16 \frac{3}{4} - 19 \frac{4}{5} = \frac{67}{4} - \frac{99}{5} = \frac{(335 - 396)}{20} = \frac{-61}{20} = - 3\frac{1}{20} \: litres \: per \: minute [/tex]The total change in the volume of solution in the tank after 10 minutes can be calculated thus :
Change in volume per minute × time [tex] - \frac{61}{20} \times 10 = - \frac{610}{20} = - 30 \frac {1}{2} \: litres [/tex]Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes
Learn more :https://brainly.com/question/18796573
7. Mao counts by fives to 30. Alana counts by tens
to 40. Who will say more numbers? Explain.
Answer:
Mao will say more numbers.
Step-by-step explanation:
Think about it like this, 5x6=30 Mao will be saying 6 numbers
10x4=40... Alana will be saying 4 numbers.
Solve for x:
(x + 4) (x - 3) = 0
A. x = -4 and x = 3
B. x= -1 and x = 12
C. x= 1 and x = -12
D. X= 4 and x = -3
Answer:
answer is A x = -4 and x = 3
Step-by-step explanation:
-4 , 3
switch the signs
Answer:
The answer is "A."
Step-by-step explanation:
x+4=0. x-3=0
x=0-4. x=0+3
x= -4. x= 3
x = -4 and x = 3
The middle school is purchasing shoes for its basketball team. The cost of
each pair of shoes is $42. The total cost, t,is proportional to s,the number
of pairs of shoes ordered. Which of the following equations models this
proportional relationship? *
Answer:
9s = 378t
is the same as (9 x 42) etc...
Step-by-step explanation:
I don't have the choice of answers of what is being said as proportional but an example is here below of what numbers are multiples of 42 and therefore found its proportion this way.
10s = 420t (10 x 42)
9s = 378t (9 x 42) etc...
8s = 336t
7s = 294t
6s = 252t
5s = 210t (5 x 42)
4s = 168t etc....
8-15/3+4*5
evaluate.
Answer:
23
Step-by-step explanation:
4*5 =20
15/3 = 5
8-5 = 3
3+20=23
8(-15/3)+(4*5)
I dont know how to do this Please explain!!!
Using the idea that similar triangles are proportional, we can solve this problem fairly easily using a proportion. It is always best to try to draw a picture if possible, as it may increase your understanding of the problem! I have attached an image of the situation.
Proportion: The woman's distance from the laser / the woman's height = the lamp post's distance from the laser / the lamp post's height
2.1 / 1.8 = 4.5 / x
8.1 = 2.1x
x = 3.9m
Hope this helps!! :)
Micah is saving to buy a new guitar and every month is putting $45 from his paycheck into his savings
account. He has already saved $120. How many more months will it take before he has enough to buy
the guitar if it costs $415?
Answer:
6.5555 months
Step-by-step explanation:
$415-$120= $295
Micah will need $295 from his paycheck earnings to be able to afford the guitar.
$295/$45= 6.5555months
Jordan has completed 5/8 of his homework assignment. What is the decimal equivalent of the amount of the assignment he has completed?
Answer:Try to see what you have to do and see if you have to divide and add subtract and multiply
Step-by-step explanation:
3409/14 with decimal
Answer:
243.5
Step-by-step explanation:
3409/14 times 7/7
By the way i divided both numerator and denominator by 77 because of gcf
Reduce
487/2
243.5
Match the following equation to the correct situation 30%(b − 25) = 30%b − 7.5
Answer:
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfvgvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
what is % 12 of 104?
Answer:
12.48 is the answer
Step-by-step explanation:
have a great day
Answer:
12.48
Step-by-step explanation:
104×12=1248
1248 count to decimals
12.48
HELP MEE AND PLEASE HURRY
Answer:
maybe always true because that is number
The sum of rational number and irrational number always be an Irrational number
O Always true
Thank You !!Find the measure of
D
E
3x
2x
A
B
С
Answer:
2x+3x+x= 180
6x= 180
x=180/6=30
<DBE = 3x = 3*30 = 90
Step-by-step explanation:
Pls mark as brainliest
Li believes that the graph shows a direct variation.
do +
LI
Why is Li incorrect in saying that the graph shows a direct variation?
Answer:
b. or 2. When the x-value is 0, the y-value is 1.
Step-by-step explanation:
welcome bestie <3.
What is 39,800,000 in scientific notation?
Answer:
3.98 x 10 to the power of 5
Step-by-step explanation:
Mark me brainleist if this is correct!
