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2 years ago

Plz help, this question is in khan academy

Mathematics

1 answer:

lesya [120]2 years ago

6 0

I’m not sure but try, 31.5

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find the derivative with respect to x of f(x)=4x , and use it to find the equation of the tangent line to y=4x at x= 5

seropon [69]

Answer:

F(x)=4X X=5

F(5)=4X

4(5)

Y=4(20)

Y=80

4 0

2 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

What is the sum of the first five terms of the geometric sequence in which a1=10 and r=1/2?

Tomtit [17]

(10(1-(1/2)^5)/1-(1/2) =

20(1-1/32)
=155/8

5 0

2 years ago

Read 2 more answers

Which table contains the vertex of the graph represented by y=x^2-6x+4?

Vaselesa [24]

vertex = (3,- 5 )

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

the x-coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

y = x² - 6x + 4 is in standard form

with a = 1, b = - 6 and c = 4, hence

$x_{vertex}$ = - $\frac{-6}{2}$ = 3

substitute this value into the equation for y- coordinate

y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5

vertex = (3, - 5 ) → second table

7 0

3 years ago

The measure of a square wall is 9 feet 7 inches on each side. Estimate the square feet a painter would have to cover to the near

Nookie1986 [14]

First, convert those inches to feet.
7in =ish 0.5833333
(you find this by dividing 7/12 on a calculator)
Now you just square 9.583333333
9.583333333^2
9.583333333 * 9.583333333
91.84027777ish
Rounded to the nearest foot, means the answer is 92ft.

5 0

3 years ago