To find dy/dx by implicit differentiation, differentiate both sides of the equation with respect to x. The derivative of sin(xy^2) with respect to x is cos(xy^2) * (y^2 * dx/dx + x * d(y^2)/dx). Simplify the expression to find dy/dx.
Explanation:To find dy/dx by implicit differentiation, we will differentiate both sides of the equation with respect to x.
We have the equation 5+4x=sin(xy^2). Taking the derivative of both sides, the left side will be 0 since it is a constant. On the right side, we use the chain rule.
The derivative of sin(xy^2) with respect to x can be written as cos(xy^2) * (y^2 * dx/dx + x * d(y^2)/dx).
Simplifying further, dy/dx = (cos(xy^2) * (2xy^2 + x * 2y * dy/dx)) / (1 - x * 2y^2 * cos(xy^2)).
(3√5)2 i got 45 bit my calculator says 15. ?
An arc that subtends a full angle of 360 degrees is called a(n) ______.
A) angle
B) circle
C) circular arc
D) line segment
Answer:
B) Circle
Step-by-step explanation:
What we will do is to define all the term, then we will now pick the correct option
Angle : An angle can simply be define as a point where two straight line meets.
Arc : An arc is a curved line which formed a circle or part of the circumference of a circle
Circle : A circle is an arc that goes round a central points. A circle subtends a full angle of 360°
Line Segment: A line segment is the shortest distance between two points, or simply put a line that connects to points or joins two points together.
From the above definitions, we can deduct that an arc that subtends a full angle of 360 degree is called a circle.
I'd really appreciate it if anyone could help! :) I'll give Brainliest!
Which graph represents the piecewise-defined function?
Answer:
The upper right hand corner
Step-by-step explanation:
One big clue to this is to note how the inequalities are x < 0 and x >= 2 so there is a gap of x values that are left out (x = 1 for instance). There will be NO graph points at all for any values in this gap. The only graph with such a gap is the upper right hand corner. So that is why this is the answer.
Another reason is that y = (-4/5)x-3 is a line that goes through (0,-3). Plug in x =0 and you'll get y = -3 when you simplify. There is an open hole here due to "x < 0". So x cannot actually equal zero for this part. At the same time, plug in x = 2 into the second piece and you get y = -4 as a result. So (2,-4) is on the second graph as a closed hole. The upper right hand corner has both of these points in the proper location.
BRAINLIEST!!PLEASE HELP
Which linear inequality is shown on the graph?A)x − y ≤ −2B)x − y ≥ −2C)x − y ≤ 2D)x − y ≥ 2
Graph the inequality by finding the boundary line, then shading the appropriate area.
C.
The linear inequality shown on the graph is x − y ≤ 2. Correct option is c.
A linear inequality represents a region on the coordinate plane. The inequality may be of the form "y ≤ mx + b," "y ≥ mx + b," "y < mx + b," or "y > mx + b," where m is the slope and b is the y-intercept of the line.
To identify the correct linear inequality from the graph, look for the shaded region (if any) and the direction of the shading. The shading indicates the solution region of the inequality. If the shaded region is above the line, it represents "y > mx + b" or "y ≥ mx + b" depending on whether the line is solid or dashed, respectively. If the shaded region is below the line, it represents "y < mx + b" or "y ≤ mx + b" depending on whether the line is solid or dashed, respectively.
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A toy company has determined that the revenue generated by a particular toy is modeled by the following equation: 10x - 0.025x² The variable x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars. What is the maximum revenue the company can earn with this toy?
Answer:
Maximum revenue = 1000 thousands of dollars.
Explanation:
We have the revenue equation [tex]r(x)=10x - 0.025x^2[/tex], where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.
At maximum revenue the derivative of equation is zero
So, [tex]r'(x)=0\\ \\10 - 0.025*2x=0\\ \\ x=10/0.05\\ \\ x=1000/5=200[/tex]
So maximum revenue is when 200 thousands of toys are produced.
Maximum revenue, [tex]r(200)=10*200 - 0.025*200^2\\ \\ r(200)=1000[/tex]
Maximum revenue = 1000 thousands of dollars.
if the blue radius below is perpendicular to the green chord and the segment AB is 6.5 units long, what is the length of the chord?
A. 13 units
B. 6.5 units
C. 3.25 units
D. 26 units
if the blue radius below is perpendicular to the green chord and the segment AB is 6.5 units long what is the length of the chord? the correct answer is:
13 units
Answer:
If the radius is perpendicular to a chord, the length of the chord is 13 units (option A).
Step-by-step explanation:
AB=6.5 units
When a radius is perpendicular to a chord divides it into to equal parts, then:
AB=BC=6.5 units
Chord: AC=AB+BC
Chord: AC=6.5 units+6.5 units
Chord: AC=13 units
Meyrick and his Aunt Angie(Mrs. Goodlett, 5th grade teacher from (OES) like to pick berries. Together they picked 8 pounds of berries. They want to divide them evenly between themselves and a few family members( Meyrick, Aunt Angie, Jennilee, Grandma, Uncle Mike and Uncle Barry). How many pounds should they put in each perspn's container?
One pound of berries each. 8 divided by 8 is 1 Hope this helps!
Math worksheet lesson 10
The given problems on subtraction is solved as follows:
a. 1.8 - 0.9 = 0.9
b. 41.84 - 0.8 = 41.04
c. 341.84 - 21.92 = 319.92
d. 5.182 - 0.09 = 5.092
e. 741 - 3.91 = 737.09
The detailed explanation is as follows:
a. 1.8 - 0.9 = 0.9
Explanation: When you subtract 0.9 from 1.8, you get 0.9. This is a straightforward subtraction of two decimal numbers.
b. 41.84 - 0.8 = 41.04
Explanation: When you subtract 0.8 from 41.84, you get 41.04. Again, this is a simple subtraction of decimals.
c. 341.84 - 21.92 = 319.92
Explanation: Subtracting 21.92 from 341.84 results in 319.92. This is a standard decimal subtraction.
d. 5.182 - 0.09 = 5.092
Explanation: Subtracting 0.09 from 5.182 gives you 5.092. Decimal subtraction works the same way as whole number subtraction.
e. 741 - 3.91 = 737.09
Explanation: When you subtract 3.91 from 741, you get 737.09. This involves carrying over from the hundredth's place to the tenth's place.
In all these calculations, it's essential to align the decimal points and perform the subtraction as you would with whole numbers, taking care to carry over as needed when subtracting decimal places.
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raig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race? ASAP NICKEL
Hi Jd444976,
Answers to find in the answer graph.
Distance for each sport:
He Ran 5 Miles
He Rode Bike For 10 Miles.
Time It took to do each sport:
Running - 5 / 8 = 0.625 = 37.5 minutes
Cycling - 10 / 20 = 0.5 = 30 minutes
0.625 + 0.5 = 1.125 = 67.5 minutes
if you have 1,000,000 $ and you stend 9,899 what does that =
If you have 1,000,000 $ and you spend 9,899 what does that =
1,000,000 - 9,899 = 990,101
Answer: $990,101
Jasmine has 8 packs of candle wax to make scented candels. Each pack contains 14 ounces of wax. Jasmine uses 7 ounces of wax to makecone candle how many candels can she make
Yuri has 36 crayons he gives 12 to carl yuri wants to know how many crayons are left
. A student decides to run a simulation of rolling an even number with a single die. Use the simulat results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability.
1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6
Answer:
Probability of observed is less that probability of theoretical of getting an even number.
Step-by-step explanation:
Given : A student decides to run a simulation of rolling an even number with a single die.
Outcomes - 1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6
To find : Use the simulate results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability?
Solution :
First we make the frequency distribution table,
X Frequency
1 2
2 3
3 6
4 2
5 3
6 4
Total - 20
Now, The observed probability of getting an even number.
Favorable outcomes of number appeared even = 3+2+4=9
Total number of outcome = 20
Probability of getting even number is [tex]P=\frac{9}{20}=0.45[/tex]
Then, Theoretical probability of getting an even number.
Favorable outcome = 3
Total number of outcome = 6
Probability of getting even number is [tex]P=\frac{3}{6}=\frac{1}{2}=0.5[/tex]
As 0.45<0.5 , Observed < Theoretical
We simulate that probability of observed is less that probability of theoretical of getting an even number.
The estimated probability is 0.45 while theoretical probability is 0.5
Estimated probability :
Number of even values : (2,6,6,4,4,6,2,2,6) = 9The estimated probability can be computed thus ;
favorable outcomes/ total possible outcomesNow we have ;
Probability= 9/20 = 0.45The theoretical probability can be computed thus ;
Even numbers = (2,4,6) = 3Hence, theoretical probability= 3/6 = 0.5
Hence, the theoretical probability is greater than the estimated probability.
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5 miles to 16 miles percent what is the nearest percent
Answer:
31%
Step-by-step explanation:
Find the ratio and convert it to a percentage.
(5 miles)/(16 miles) × 100% = 0.3125 × 100% = 31.25% ≈ 31%
21) the admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collected, how many children went to the movies?
To solve the problem, we set up a system of two equations to represent the given conditions. By solving this system, we found that 1200 children and 2000 adults went to the movies.
Explanation:
We can solve the problem using a system of linear equations. Let's denote the number of children as C and the number of adults as A. From the question, we know two things:
The total number of people is 3200, so C + A = 3200.The total amount of money received is $24,000, and as children pay $5 and adults pay $9, this gives us another equation: 5C + 9A = 24000.By solving this system, we can find the number of children and adults. Using the elimination method, multiply the first equation by 5 and subtract it from the second equation, we get 4A = 8000, so A = 2000. Substituting A = 2000 into the first equation gives us C = 1200, which means 1200 children went to the movies.
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A rectangle has a perimeter of 144 inches. The width of the rectangle is 12 inches less than the length. What is the width, in inches, of the rectangle?
The width is 42 inches. If you add 42+42+30+30, it equals 144. (l+l+w+w)
Answer:
30 inches
Step-by-step explanation:
To correctly evaluate this we have to give algebraic values to both the width and the length, so the width would be X, and the legnth is 12 inches larger than the length so this would be expressed by: x+12, so the equation of the perimeter would be:
[tex]P=2W+2L[/tex]
[tex]P=2(x)+2(x+12)[/tex]
[tex]P=2x+2x+24[/tex]
Now you just evaluate the equation for perimeter=144.
[tex]144=2x+2x+24[/tex]
[tex]144=4x+24[/tex]
[tex]120=4x[/tex]
[tex]x=\frac{120}{4}[/tex]
[tex]x=\frac{120}{4}=30[/tex]
So the width of the rectangle is 30 inches.
Can someone help me with this Geometry Homework? Thanks
That is C. my fellow brainy hope you get an A+
Mary bought a soft drink for three dollars and eight candy bars. She spent a total of nineteen dollars. How much did each candy bar cost?
The fair market rental rate for Columbus was $730 in 2013 and $551 in 2003. Find the rate of change for rent in Columbus during this period.
Let rental rate be denoted by 'y' and years be denoted by 'x'
coordinates become: (2003,551) (2013,730)
Rental rate in = $551(y1)
Rental rate in =$730(y2).
So, change in rate = [tex]730-551=179[/tex]
Years given are 2003(x1) and 2013(x2) so, change is [tex]2013-2003=10[/tex]
Here, to find the rate we use the slope formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
Now putting the values of coordinates in the formula we get:
[tex]\frac{730-551}{2013-2003}[/tex]
= [tex]\frac{179}{10}[/tex]
= 17.9
So, the rate of change for rent is $17.9
To multiply two fractions, multiply the numerator by the and the denominator by the .
You must multiply the numerators and denominations of each fraction
Hope this helped. If there is anything else l can help with, just let me know!
To multiply two fractions, multiply the numerator by the numerator and the denominator by the denominator.
A fraction can be defined as a numerical quantity that isn't a whole number.
Hence, a fraction is simply a part of a whole number.
Generally, a fraction comprises two (2) main parts and these include:
Numerator: this is the upper part of a fraction.Denominator: this refers to the lower part of a fraction.Mathematically, a fraction is represented as:
[tex]Fraction \;A = \frac{1}{2} \\\\Fraction \;B = \frac{2}{3}[/tex]
In order to multiply the two fraction, we would multiply the numerator by the numerator and the denominator by the denominator:
[tex]Fraction \;A \times Fraction \;B = \frac{1}{2} \times \frac{2}{3} \\\\Fraction \;A \times Fraction \;B = \frac{1\times 2}{2 \times 3} \\\\Fraction \;A \times Fraction \;B = \frac{2}{6} \\\\Fraction \;A \times Fraction \;B = \frac{1}{3}[/tex]
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what is the point slope form of the line with slope -1/4 that passes through the point (-2, 9) ?
•y - 9 = -1/4 (x + 2)
•y + 2 = -1/4 (x - 9)
•y + 9 = -1/4 (x - 2)
•y - 2 = -1/4 (x + 9)
The point-slope form of a line:
[tex]y-y_0=m(x-x_0)[/tex]
We have
[tex]m=-\dfrac{1}{4}\\\\(-2,\ 9)\to x_0=-2,\ y_0=9[/tex]
Substitute
[tex]y-9=-\dfrac{1}{4}(x-(-2))\\\\y-9=-\dfrac{1}{4}(x+2)[/tex]
The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t represents the year with t=0 corresponding to 1990
-Find the populations of Italy in 2000 and 2008
-Use the model to predict the populations of Italy in 2015 and 2020
Answers:
Year 2000: 57.7 millionsYear 2008: 58.4 millionsYear 2015: 59.0 millionsYear 2020: 59.4 millionsExplanation:
The given model provides a function that allows to approximate the population of Italy from 1990 through 2008 and predict the populations for other years, assuming validity of the same model over the coming years.
You only need to convert the year into the variable t and subsitute in the model.
1. Calculate t for every year of your interest:
Year t = year - 1990
1990 1990 - 1990 = 0 (initial value)
2000 2000 - 1990 = 10
2008 2008 - 1990 = 18
2015 2015 - 1990 = 25
2020 2020 - 1990 = 30
2. Calculate the population as per the model:
[tex]p = 56.8e^{0.0015(10)}=57.7[/tex]
t = 18[tex]p = 56.8e^{0.0015(18)}=58.4[/tex]
t = 25[tex]p = 56.8e^{0.0015(25)}=59.0[/tex]
t = 30[tex]p = 56.8e^{0.0015(30)}=59.4[/tex]
A plane is defined as what type of figure? A. A plane has no dimensions. B. 3-dimensional C. 2-dimensional D. 1-dimensional
A plane is flat, so 2-Dimensional
jim is reading a 303 page book hes already read 87 pages if he can read 12 pages in an hour how many more hours will it take him to finish the book
A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets. Which equation is true?
A. r(10 – r) = 10
B. r + (10 – r) = 4 + 3
C. 4r[3(10 – r)] = 37
D. 4r + 3(10 – r) = 37
Answer:
D. 4r + 3(10 – r) = 37
Explanation:
Let r be the roller coaster ride. Since it costs 4 tickets, this gives us the expression 4r.
We know that there were 10 rides total; this leaves Michael 10-r for the number of times he rode the boat ride.
Each boat ride costs 3 tickets; this gives us the expression
3(10-r)
Together, this gives us
4r+3(10-r) = 37
Answer:
A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.
A table titled Ride Tickets, showing Times on the Ride, Tickets per Ride, and Total Tickets. The first row shows Roller Coaster, with r, 4 and 4 r. The second row shows Boat Ride, with 10 minus r, 3, and 3 left parenthesis 10 minus r right-parenthesis. The third row shows, Total, with 10, blank, and 37.
Which equation is true?
r(10 – r) = 10
r + (10 – r) = 4 + 3
4r[3(10 – r)] = 37 this is your answer
4r + 3(10 – r) = 37
Step-by-step explanation:
How do you convert 5 1/3 to an improper fraction
To convert 5 1/3 to an improper fraction, multiply the whole number part by the denominator and then add the numerator.
Explanation:To convert the mixed number 5 1/3 to an improper fraction, you need to multiply the whole number part (5) by the denominator of the fraction part (3), and then add the numerator of the fraction part (1). The result becomes the numerator of the improper fraction, and the denominator remains the same. So, 5 1/3 as an improper fraction is 16/3.
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Please help me
10 points
Answer:
see below
Step-by-step explanation:
The following definitions apply:
if p, then q . . . . conditional statement
if q, then p . . . . converse
if ~p then ~q . . . inverse
if ~q then ~p . . . contrapositive
You have ...
p = "it is October 31"
q = "it is Halloween"
(a) The converse is ...
If it is Halloween, then it is October 31.
(b) The inverse is ...
If it is not October 31, then it is not Halloween.
(c) The contrapositive is ...
if it is not Halloween, then it is not October 31.
What is the number between 6,534 and 6,565
If you don't specify any restrinction on that number, there actally are infinitely many: real number are dense, which means that you can always find infinitely many numbers between any pair of real numbers, no matter how close.
Ravi can type 6 words in 4 seconds. How many words can he type in 10 seconds?
Find the first three terms of the sequence described by the following recursive formula:
an = 3an – 1 + 2 where a4 = 20
a1=
a2=
a3=
Answer:
a1= -2/9
a2= 4/3
a3= 6
Step-by-step explanation:
[tex]a_n = 3a_{n - 1} + 2[/tex]
a_4= 20
lets plug in 4 for n
[tex]a_4 = 3a_{4 - 1} + 2[/tex]
[tex]20= 3a_3+ 2[/tex]
Subtract 2 from both sides and then divide by 3
18 = 3a_3
[tex]6=a_3[/tex]
lets plug in 3 for n and use a3=6 to find a2
[tex]a_3 = 3a_{3 - 1} + 2[/tex]
[tex]6= 3a_2+ 2[/tex]
Subtract 2 from both sides and then divide by 3
4 = 3a_2
[tex]\frac{4}{3}=a_2[/tex]
lets plug in 2 for n and find out a1
[tex]a_2 = 3a_{2 - 1} + 2[/tex]
[tex]\frac{4}{3}= 3a_1+ 2[/tex]
Subtract 2 from both sides and then divide by 3
[tex]\frac{-2}{3}= 3a_1[/tex]
[tex]\frac{-2}{9}=a_1[/tex]