Use differentials to find an approximate value for $\sqrt[3]{65}$

Answers

Answer 1

Answer: : Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021

Answer 2

Answer:

Answer:

: Let y = f(x) = x^1/3

Then dy = 1/3*x^(−2/3) dx

Since f(64) = 4.

We take x = 64 and dx = ∆x = 1

This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48

∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021

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Step-by-step explanation:

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A football is kicked toward the goal. The height of the ball is modeled by the function h(t) = -16t2 + 64t where t equals the time in seconds and h(x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent? t = 2; it takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground
t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
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t = 4; it takes 4 seconds to reach the maximum height and 8 seconds to fall back to the ground

Answers

h(t) = -16(t^2) + 64t

roots:

0 = -16t^2 + 64t
0 = t^2 - 4t
0 = t(t-4)
t=0 and t =4

The symmetry axis is at the middle of the two roots: t = (0+4)/2

That time (t=2) is what it takes the object to reach the maximum height.

Answer: t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

Answer: B/ it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

Step-by-step explanation:

CAN SOMEONE PLEASE JUST ANSWER THIS ASAP FOR BRAINLIEST!!!

Answers

$7x{y}^(2)$

Two equations are given below:a – 3b = 16
a = b – 2

What is the solution to the set of equations in the form (a, b)?

(–2, –6)
(–7, –9)
(–11, –9)
(–12, –10)

Answers

Good Morning

a-3b=16

a=b-2

Solve a=b -2 for a

Substitute b-2 for a in a-3b=16

a-3b=16

b-2-3b=16

Simplify both sides of the equation

-2b-2=16

Add 2 to both sides

-2b-2+2=16+2

-2b=18

Divide both sides by -2

-2b/-2 = 18/-2

b= -9

Substitute -9 for b in a=b -2

a=b -2

a=-9-2

Simplify both sides of the equation

a= -11

Answer: (-11,-9)

I hope that's help !

Happy Sunday :)

Answer:

The solution to the set of equations is (-11, -9).

Step-by-step explanation:

Which statement is not always true about irrational numbers

Answers

"Irrational numbers start with 37.2 ."

If this is not one of the statements on the list of choices that comes
with this question, then perhaps you could let us see the list of choices
that comes with this question, so that we can guide you to the best choice.

Answer:

here are the statements I need help on this too help for iready!!!

The height y (in feet) of a punted football is given by -16/2025x^2 + 9/5x + 2.5 where x is the horizontal distance (in feet) from the point at which the ball is punted. (a) How high is the ball when it is punted?
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
(c) How long is the punt? (Round your answer to two decimal places.)

Answers

a) The ball is 2.5 feet high when it is punted ( for: x=0 )
b) The maximum height ( formula for the parabola):Ymax= $(4ac-b^(2) )/(4a)= (4* (-16)/(2025)*25- (9)/(5)^(2) )/(4* (-16)/(2025) )$
Finally: Ymax= 105.02 feet.
c)We will find how long is the punt with the formula:
$- (16)/(2025) x^(2) + (9)/(5)x +2.5=0$
We will multiply it by 2025 to avoid the fractions:
$-16 x^(2) +3645x+5062.5=0$
And we will solve it:
$x_(12) = \frac{-b\pm \sqrt{b^(2) -4ac} }{2a}= (-3645\pm √(13286025+324000) )/(-32) x_(1)= (-3645-3689.1767)/(-32)$
x=229.19 feet.
We will except this answer because another one is negative.

A disadvantage to joining a family business is that _____.a.

more can be achieved by working in a team

b.

family relationships may be negatively affected

c.

one individual must take on all of the financing responsibilities

d.

there is little trust and loyalty

Answers

Answer:

b. family relationships may be negatively affected

Step-by-step explanation:

Let's asses each option individually,

a) As there are more people in a family than 1 person running the business, work can be divided and completed simultaneously. So more can be achieved.

b)Running a business comes with lot of responsibilities and stress. Therefore family relationships can definitely be affected negatively. For now this seems like the correct answer, but lets look at other option to see whether this is the best answer.

c)One individual does not have to take on all the responsibilities, responsibility is divided between family members.

d)In a family you can trust each other than trusting people outside the family, and same with the loyalty.

Therefore, correct answer is b.

b. family relationships may be negatively affected because if you make a bad decision, your family or parents may be disappointed at you. Hope this helped!

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