Answer:
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = [tex]-5x^2[/tex]
first Determine the value of F'(x)
F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Solve by substitution: y = 3x + 4 and y = -2x – 1.
Answer:
x = -1
y = 1
Step-by-step explanation:
y = 3x+4
y = -2x-1
-2x-1 = 3x+4
-5x - 1 = 4
-5x = 5
x = -1
Substitute this x value into 1 of the equations given in the problem:
y = 3(-1)+4
y = -3+4
y = 1
Answer: the answer to x= -1 and y= 1
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?
Answer:
x₁ = 60 pantalón de buzo
x₂ = 0 casaca
z(max) = 540 unidades de monedas
Step-by-step explanation:
El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)
z = 9*x₁ + 12*x₂ a maximizar
Sujeto a:
1) Primera restricción disponibilidad de algodón 500 m de tela
1*x₁ + 2*x₂ ≤ 500
2)Segunda restricción disponibilidad de poliester 520 m de tela
2*x₁ + 1*x₂ ≤ 520
3) Tercera restricción tiempo disponible 8 h/d * 5 d/s = 40 h/s
40 * 60 = 240 minutos disponibles, entonces
4*x₁ + 10*x₂ ≤ 240
4)Restricciones generales x₁ ≥ 0 ; x₂ ≥ 0 ambas solo deben tomar valores enteros
Con el uso del calculador en línea se obtiene:
x₁ = 60
x₂ = 0
z(max) = 540
it was wrong it is actually 0.29 or .29
Answer:
Form what?
Step-by-step explanation:
Step-by-step explanation:
what are you taking about ?
The number of pages that Armando, Billy, Robert, and Joel can read in a day is shown below.
Armando read 15% of his 46-page book.
Billy read 11% of his 72-page book.
Robert read 12% of his 68-page book.
Joel read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
a Armando
b Joel
c Billy
d Robert
Answer: B. Joel
hope this helps :}
Nora has to buy party supplies and can spend no more than $50. Nora must buy 8
party favors, p, and she will also purchase a cake fore $10. Write an inequality that
represents the situation, and find possible solutions.
Answer:
50=10+c
Step-by-step explanation:
How do you do this question?
Answers:
[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]
Based on the limit comparison test, the series is convergent
========================================================
Explanation:
As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.
In other words,
[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]
That -2 doesn't really play a role when n gets very large.
This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.
So,
[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]
[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]
Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.
----------------------------
If we plug n = 2 into the [tex]b_n[/tex] sequence, we get
[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]
The first term is a = 1/9
If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]
This shows that the common ratio is r = 1/3
Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.
Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.
We've shown that the b series converges, so the 'a' series must converge as well.
2r(2.59 + 10) - 3(r + 4) + s(r - 1)?
equivalent?
Answer:
2.30 is going to be your anwer
Step-by-step explanation:
Prove that cos x + cos 3x + cos 5x + cos 7x = 4cos x cos 2x cos 4x
Step-by-step explanation:
Prove the following?
cos7x+cos5x+cos3x+cosx=4cosxcos2xcos4x
2
SEE ANSWERS
Answer
3.4/5
36
LHS=cos7x + cos5x + cos3x + cosx
=2cos[(7x+5x)/2].cos[(7x-5x)/2] + 2cos[(3x+x)/2].cos[(3x-x)/2]
[∵ cosA + cosB = 2.cos[(A+B)/2].cos[(A-B)/2]]
=2cos[(12x)/2].cos[(2x)/2] + 2cos[(4x)/2].cos[(2x)/2]
=2cos 6x.cosx+2cos2x.cosx
=2cosx(cos 6x+ cos 2x)
=2.cosx(2cos[(6x+2x)/2].cos[(6x-2x)/2]
=2.cosx(2cos4x.cos2x)
=4.cosx.cos2x.cos4x
=RHS.
hope this helps you!!!!! :))))))))
pls help will give brainliest
Answer:3rd one
Step-by-step explanation:
I need help with this question
Answer:
1/3
Step-by-step explanation:
i hope this helps you! :)
Answer:
1/3
Step-by-step explanation:
When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.
Anybody Know This Answer Well. ?
Answer:
no srry
Step-by-step explanation:
write a word phrase for x/4-17
Answer:
a number x divided by four, minus seventeen
or
seventeen less than a quarter of a number x
or
a quarter of x take away seventeen
Step-by-step explanation:
There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x or a quarter of x (especially since 'of' in math means multiplication). Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!
6 1/2 divided 3/8 of goldfish crackers
Answer:
I think it is 8
Step-by-step explanation:
6 1/2 divided by 3/8 = 8
hope this helped
how would I graph 9x + 11 > 3(x + 4)-12 +6x ?
9514 1404 393
Answer:
shade the entire number line and put arrows at each end
Step-by-step explanation:
Solve for x.
9x +11 > 3(x +4) -12 +6x
9x +11 > 3x +12 -12 +6x . . . . eliminate parentheses
9x +11 > 9x . . . . . collect terms
11 > 0 . . . . . . . . . subtract 9x
This is true for all values of x.
The graph would be the entire number line.
Which diagram is not the graph of a function? Group of answer choices
Answer:
c
Step-by-step explanation:
because it is in circular shape
(Look at picture.............)
Answer:
3460
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
imin middle school
Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay
for his bananas?
Answer:
$7.35
Step-by-step explanation:
To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35
5/6x6/7=?? Please answer
[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = \frac{5}{6} \times \frac{6}{7} [/tex][tex] = \frac{5 \times 6}{6 \times 7} [/tex][tex] = \frac{30}{42} [/tex][tex] = \frac{30 \div 6}{42 \div 6} [/tex][tex] = \frac{5}{7} [/tex]#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? Table A x -8 -3 0 6 y 24 4 9 72 Table B x 9 15 24 38 y -14 -16 53 29 Table C x 15 24 24 100 y -16 53 29 7 Table D x -8 6 0 6 y 24 4 9 72 a. Table A and Table C b. Table A and Table B c. Table B and Table C d. Table C and Table D Please select the best answer from the choices provided
Answer:
I think it's d. C and D
Step-by-step explanation:
it needs to be 20 characters long so don't mind this part
Answer: is B. table A and Table B
Step-by-step explanation:
What equation is equivalent to 3x+6=4x+7
Answer:
x=-1
Step-by-step explanation:
The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).
3x+6=4x+7
-3x -3x
6=x+7
All we need to do now is subtract 7 on both sides.
6=x+7
-7 -7
-1=x or x=-1 (they both mean the same thing!)
Hope this helps!! Have a wonderful day c:
lincoln middle school has a total of $200 to spend on notebooks and tablets
Answer:
Oh um ok. Is there supposed to be like a 2nd part to this??
Step-by-step explanation:
can you guys help me and can you tell me by number
Answer:20
Step-by-step explanation:160÷8=20
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?
Answer:
10
Step-by-step explanation:
i mark as brainliest
Answer:
the third one
Step-by-step explanation:
if im wrong you don't have to mark as braniest
what is the circumfernce of a circle with a diameter of 10
Answer:
C≈31.42
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·10≈31.41593
Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten
Answer:
[tex]\frac{1}{10} h\leq 10[/tex]
Step-by-step explanation:
Basically, we are just translating the phrase into an algebraic expression.
Hi Guys
Please answer this question. I will choose Brainliest.
Also please do a step by step method.
Worth 10 points and it is a Maths question.
Cheers,
Jake
Answer:
In simplifying this is simple.
2-4 x + 3x-12.2x+9x2-x-12lena has bought 10 pounds of dog food. she feed her dog 2/5 pounds for each meal for how many meals will the food last
Answer:
25
Step-by-step explanation:
10÷2/5
=10•5/2
=5•5
=25
A migrating bird flies 688 miles in 16 hours. How many miles does it fly in 5 hours?
Answer:
In 5 hours, the migrating bird will frly 215 miles.
Step-by-step explanation:
Since the bird flys 688 miles in 16 hours we need to find the unit rate. So i divided 16 by the 16 hours which gave me 1, so i also divided 688 by 16 and i got 43. So the bird flys 43 miles in a hour. We are not done yet because we need to find how many miles in 5 hours. So we multiply the 43 miles by 5 and got 215, and i also multiplied the 1 hour bye 5 and got 5. Last but not least, the migrating bird will fly 215 miles in 5 hours. I hope that this will help you out.