Answers
Answer:
The slope of the tangent m = -0.0833
Step-by-step explanation:
Step(i):-
Given that the curve
x y - 2y² + x² = -5 ...(i)
Differentiating equation (i) with respective to 'x', we get
[tex]x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0[/tex]
[tex]x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y[/tex]
[tex](x -4y)\frac{dy}{dx} = -2x-y[/tex]
[tex]\frac{dy}{dx} = \frac{-2x-y}{x-4y}[/tex]
Step(ii):-
The slope of the tangent
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}[/tex]
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}[/tex]
m = [tex]\frac{-2+1.5}{1+6}[/tex]
[tex]m = \frac{-0.5}{6} = -0.083[/tex]
The slope of the tangent m = -0.0833
Related Questions
3.- Una persona pinta el interior de un cuadrado de lado 15m, si antes de pintarlo
comete un error al medir la longitud de los lados de 0.2m, resolver por diferencial
(a).- ¿Cuál es el error máximo en el área de pintado (cuanto de diferencia de área
pinto más debido al error).
Answers
Answer: SOrry no espanypol
Step-by-step explanation:
What will the area be?
Include the appropriate unit in your answer.
Answers
Answer:
Step-by-step explanation:
area of triangle = ½(base)(height)
= ½(25 m)(12 m)
= 150 m²
51 –
6.8 + 4.3/4
-0.8
Answers
Answer:
11.325
Step-by-step explanation:
Ce clasă ești sa văd daca te pot ajuta
g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability that there are 2 black balls and 2 white balls in the sample if .50 Each ball is replaced before the next one is drawn (sampling with replacement). .624 Each ball is not replaced (sampling without replacement)
Answers
Answer:
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Step-by-step explanation:
For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Sampling with replacement:
I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]
We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Sampling without replacement:
150 + 50 = 200 total balls, so [tex]N = 200[/tex]
Sample of 4, so [tex]n = 4[/tex]
50 are black, so [tex]k = 50[/tex]
We want P(X = 2).
[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
The equation y=0.24x+1.20 can be used to predict the price of fuel oil per gallon,
where x is the number of years since 2002. According to the model, what will be the
price of fuel oil per gallon be in 2018?
Answers
Answer: $5.04
Step-by-step explanation:
1.) Start by subtracting 2002 from 2018. (2018-2002=16)
2.) plug into the equation ( y= 0.24(16)+1.20)
3.) plug into calculator and you should get 5.04
Answer:
5.04
Step-by-step explanation:
5.04
find the 8th term of the geometric sequence 3,9,27
Answers
Answer:
6,561
Step-by-step explanation:
multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time
I NEED HELP NOWWWWW pls
Answers
12x=(6)(8)
Solve for x
X=4
Julissa earns $13 per hour. If her regular hours are 40 hours per week, and she receives double time overtime,
find her total pay for a week in which she works 45 hours.
Answers
Answer:
1,040 dollars
Step-by-step explanation:
Jill collected honey from 9 different beehives, and recorded the amount collected, in gallons, from each hive in the line plot shown:
She wants to write the value of each point marked on the number line above (Points A-D) in gallons. What is the value of A using fractions?
My brother needs help I don't remember this devilish stuff
Answers
Answer:
A= 6/8 gallons
Which statement is not true? Help ASAP! Thanks!!
Answers
Answer:
4 option...... .......
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answers
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
plzzz helppp!!!!! Marking most Brainly!!!!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
there are less people to answer so it wouldn't be enough
Solve the system below"
W
y = - 3x + 17
y = -x + 3
O (7.4)
O (-7,-4)
O (7.-4)
Answers
Answer:
I think its (7,-4)
Step-by-step explanation:
solve x:
plug in y
-x+3=-3x+17
solve
x=7
solve y:
plug in what you got for x
y=-3(7)+17
solve
y=-4
forty percent of N is equal to two hundred forty. how do i write in number?
Answers
The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we are specified that:
40% of N = 240
Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get
[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)
Now, solving it further to get value of N:
[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]
Thus, 40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600
Learn more about percent here:
https://brainly.com/question/11549320
) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
can you pleas help and show your work :)
Answers
Answer:
9 cows, 15 chicken
Step-by-step explanation:
9 x 4 = 36
15 x 2 = 30
9 + 15 = 24
36 + 30 = 66
what is the slope between the points (14,1) and (6,-15)
Answers
Problem 2
An online retailer advertises the following shipping and handling fees for every order:
Order Amount ($)
0 – 49.99
50 – 75.99
76+
Shipping and Handling ($)
3.95
11.95
5.95
The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.
**Assume that the shipping and handling is added after the sales tax is applied to the order.
Part a)
Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Part b)
Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)
Part c)
Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)
Answers
Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
Part AThere are three intervals as below and function added accordingly:
0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.9550 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95Part Bx = 74.50, this falls in the second intervaly = 74.50*1.056 + 11.95 = $90.62 (rounded )Part Cy = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
89.20 = 1.056x + 11.951.056x = 89.20 - 11.951.056x = 77.25x = 77.25 / 1.056x = 73.15 (rounded )-----------------------------------------
Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.Find three points on the parabola.
x^2−6x−4y+5=0
Answers
Answer:
(0,1.25), (1,0), (-1,3)
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
y = -16x + 16
Step-by-step explanation:
You can write a linear equation by getting the slope (m) and y-intercept (b).
To get the slope, you have to (y2 - y1) / (x2 - x1).
Which in this case, I'm going to used points (0,16) and (1,0).
So,
(0 - 16) / (1 - 0) = -16 / 1 = -16
m = -16
Now since we have the slope, the equation would look like y = -16x + b
You then have to input any x and y points (I'm going to use 1,0).
0 = -16(1) + b
0 = -16 + b
b = 16
Put this all together,
y = -16x + 16
Hope this helps :)
Let me know if there is any mistakes!!
Answer:
y = -16x + 16
Step-by-step explanation:
What is the solution to the system of equations below?
y=-1/3x+6
and x = -6
(-6,8)
(-6,4)
(8,-6)
(4, -6)
Answers
Answer:
(-6,8) is the answer using substitution method.
Step-by-step explanation:
y= (-1/3)(-6)+6
y= 2+6
y=8, x=-6
=(-6,8)
Answer:
The solution to this system of equations is [tex](x,y) = (-6, 8)[/tex].
Step-by-step explanation:
Since the number of equations and number of variables is the same, there is only one solution. Let [tex]y = -\frac{1}{3}\cdot x + 6[/tex] and [tex]x = -6[/tex], the solution of this system is found by evaluating the first function, that is:
[tex]y = -\frac{1}{3}\cdot (-6)+6[/tex]
[tex]y = 2+6[/tex]
[tex]y = 8[/tex]
The solution to this system of equations is [tex](x,y) = (-6, 8)[/tex].
2x-5y + 11=0 3x-4y=18
Answers
Answer:
x = 134/7
y = 69/7
Step-by-step explanation:
let the x or y have a same coefficient to have a better way to solve it
At a garage sale, a large bin full of DVDs and CDs are being sold. All the DVDs are the same price, and all the CDs are the same price.
Aleah buys 2 DVDs for $6 and 4 CDs for $8. Her friend, Ling, wants to buy 4 DVDs and 2 CDs. How much will Ling have to pay?
Aleah's brother, Pierre, wants to spend $20 on DVDs and CDs. What combination of DVDs and CDs could he buy?
Answers
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Ling bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
(5,1) (3,2) Write the equation in point-slope form
Answers
Answer: y-1=-1/2(x-5)
Step-by-step explanation:
[tex]\frac{2-1}{3-5}[/tex]
-1/2 slope
y-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
y-1=-1/2(x-5)
y-1=-1/2x +5/2
y=-1/2x+7/2
There are more than one answer help me and I give brainilest
Answers
Answer:
Equivalent to a), b), and d). It is NOT equivalent to c).
Step-by-step explanation:
6m + 12 is also equivalent to a) 3(2m+4) because when you distribute, it's 6m + 12. It is also equivalent to b) 3m + 8 + 4 + 3m because if you add them together, you get 6m + 12. It is not equivalent to c) but is do d) 4m + 2(m + 6) cause you use the distributive property then add. I hope this helped and please mark brainliest!
Each day, Martin lifts weights for 10 minutes and runs on the
treadmill for 25 minutes. Write two equivalent expressions and
then find the total minutes that Martin exercises in 7 days.
Answers
Answer:
Martin Exercised 35 minutes in 7 days. Correct me if I'm wrong
Si un jarrón tíene 80 cm de altura ¿ cuantos milímetros mida
Answers
Si tiene 80 cm de altura mier 800 milímetros de altura
Subtract: (x^2+ 5x – 4) - (6x2 – 7)
Will give brainliest
Answers
Answer:
x^2+5x-9
Step-by-step explanation:
First multiply 6x2 because that's a number that isn't solved in the parenthesis.
(x^2+5x-4) - (12-7)
Then you subtract 12-7 which equals 5.
(x^2+5x-4)-(5)
You now take the parenthesis off
x^2+5x-4-5
-4-5 equals -9
Now you get the answer: x^2+5x-9
Answer:
-5x² + 5x + 3
Step-by-step explanation:
Evaluate the expression 12/(10-2)-(22-18)
A. 3
B. 4
C. 12
D. 0
Answers
Answer:
A
Step-by-step explanation:
The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?
Answers
Answer:
Carbon
Step-by-step explanation:
When the power of 10 is negative, the less the exponent the bigger the number
Answer:
Step-by-step explanation:
the larger number is 1.995x10^-23
HELP ME PLS :) !!!!!
Answers
Answer:
30
Step-by-step explanation:
78-48=30
78-48=30 es la respuesta