Write the scale without units: 1 cm:1 km
Step-by-step explanation:
scale = 1/100000 .
hope this helps you.
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
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
Someone please HELP!!!
I’ll make it brainliest
Answer:
Step-by-step explanation:
Question 1) Take each point and move down two units. For example: Take point A, keeping it on the vertical line, and count two squares down, then place a new point there and call it A1. Do the same for each point in the parallelogram. Question 2) Take one point from parallelogram EFGH and move it two squares to the left. Then from that new point, count four squares down and place a new dot there. Do this for every point in the EFGH parallelogram. Question 3) This one is a bit trickier. Ok, so we know three points on the graph. L(-5, -5), M(-5, -2), and N(-2, -2). Ok so we know that if we plot these points, they will make three points in a square. All we need is the fourth point. To get that, we have to place all three points on the graph. Let's start with L. The coordinates are (-5, -5). Now, the first number is -5 which means to go 5 points to the left from the center point, then the next number is -5 again, so that means that from that point that we just made, you go 5 points down, and then that is your point L. Now, for point M, it is the same thing except for the second number, it tells us to go -2. So, instead of going 5 down like the first point, you must go 2 points down after you have to the left 5 points. REMEMBER: when plotting points, you always have o start in the center point(center of the graph). Negative numbers are always left and down. Positive numbers are always right and up. Do the same thing for point N (left 2, and then 2 down). After you have plotted all three of these points, you can see that there is one point missing. The point that we are missing is (-2, -5) (2 to the left, and 5 down).Question 4) Ok, so what you want to do is first plot your points. X(2, 1): start at center point and go 2 points to the right and one point up. Y(4,4): from center point, o 4 points to the right and the 4 points up. Z(5,2): from center point, go 5 points to the right then 2 points up. Now, connect your dots and it should make a triangle. Now for the tricky part. They want us to move our triangle 4 points down. So, start with letter Y and simply count 4 points down from its original point and place the new dot there. The new coordinates to this new Y point should be: (4, 0) (4 to the right of the center point and 0 up or down) So, this point should be on the line. The reason it is still 4 to the right is because all we did was move the point down and not left or right. DO this with the other two points and you should get: X(2, -3) (2 to the right and 3 down from center point) and Z(5, 2) (5 to the right and 2 down from center point)Question 5) THE FIRST NUMBER IS ALWAS THE NUMBER ON THE HORIZONTAL LINE.I. the point is is moved 4 to the right of the center point and 2 down. So it is (4, -2)
P. This point is moved negative 4 (to the left) and down 3 . So it is: (-4, -3)
G. This point is moved 5 to the right and then up 2 which makes it (5, 2)
Q. This point is moved 6 to the right and 4 down which makes it (6, -4)
R. This point is moved 2 to the left and 2 up which makes it (-2, 2)
S. (6, 4)
J. (-2, -4)
U. (-5, 0)
H. (3, -1)
K. (-6, -5)
To find simple interest, you multiply the principal (in dollars), the interest rate (as a decimal), and the time in years.
The equation 22.80 = 300 •019•4 shows how to find the simple interest for a certain account after 4 years. What
is the interest rate (as a percent)? How much is the simple interest? What is the principal?
What is the interest rate (as a percent)?
A. 1.9%
B. 22.80%
C. 0.019%
D. 300%
Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.
Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.
Simple interest is 6% / 4 = 1.5%.
And the principal is $400.
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
Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12
What is 4/9 increased by 1/3 ?
Answer:
7/9
Step-by-step explanation:
4/9 + 1/3
*Multiply top and bottom by 3
4/9 + 3/9
= 7/9
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.
**The domain of f(x) = 3x + 2 is
{-1
in the range?
Answer:
Yes
Step-by-step explanation:
Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.
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:
What is the value of y when x = 3 for the line defined by the equation y = -2x + 5?
Answer:
y=-1
Step-by-step explanation:
Plug in the value of x: y=-2(3)+5
Multiply: y=-6+5
Add: y=-1
NEED HELP FOR REAL 69 points!!!!!!!!!!!!!! ASAP
The physicist from the last problem lets the particle fall another 100 times, and finds that the average travel time is now 16 sec. Remember that when running the simulation many times it took 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. What does she conclude and why?
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
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
12 1/2, 3 3/4 what is the distance between the two
Answer:
Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986
Step-by-step explanation:
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
GE bisects angle DGF , m angle DGE = 53º. Find m angle DGF.
M angle DGF
Answer:
4.5 degres
Step-by-step explanation:
five times x equals one
Answer:
x=0.2
Step-by-step explanation:
1 / 5 = 0.2
therefore
5 x 0.2 = 1
Solve using a proportion.
Answer:
i cant see it
Step-by-step explanation:
f(x)=3x²-4x+2, what is f(-5), show work
Given f (x) = 3x^2 - 4x + 2; What is f (-5)
f (-5) = 3x^2 - 4x + 2
f (-5) = 3(-5)^2 - 4(-5) + 2
f (-5) = 3(25) - 4(-5) + 2
f (-5) = 75 + 20 + 2
f (-5) = 97
or
( -5 , 97 )
4[3(5+2)]=95-4x3 is this statement true or false
Answer:
TRUEeeee
Step-by-step explanation:
bec. there beetwen have a
Using the formula below, find F, when f = 1000 and r = 8
Give your answer as a decimal number.
Answer: 15.625
Step-by-step explanation:
F = 1000/(8^2) = 1000/64 = 15.625
Answer:
F = 15.625
Step-by-step explanation:
This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.
To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.
Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.
At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.
I have attached a photograph of this calculation written down.
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.
Which expression is equivalent to this polynomial expression?
Answer:
Where is the expression
Answer:
Its c :)
Step-by-step explanation:
plato
what is the psychology of a middle school student compared to a elementary compared to a high school compared to a college how does the brain change
what is 7 1/2 divided by 5 5/8
Answer:
1.33
Step-by-step explanation:
9514 1404 393
Answer:
4/3
Step-by-step explanation:
If you're familiar with decimal equivalents (or even if you're not), you can use your calculator to compute the quotient:
7.5/5.625 = 1.333333333...
The rational number equivalent of the result is 4/3.
__
If you like to work directly with the rational numbers, you can write the ratio as ...
(7 1/2)/(5 5/8) = (7 4/8)/(5 5/8) = (60/8)/(45/8) = 60/45 = 4/3
what is 200 x 300 kakakkakakakakkaakkkak
Answer:
60000 ty ..............
Answer:
60000
..............
what a difficult question !!! Do not ask such difficult questions ..lol
Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?
Answer:
10 liters of 40% solution
10 liters of 10% solution
what is
210+185+190+x
What does x represent on this equation?
I could tell you that 210+185+190=585
