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2 years ago

What is the value of A(6), the surface area of a sphere with a radius of 6 units?

Mathematics

1 answer:

Paraphin [41]2 years ago

8 0

Here, we have: A(r) = 4πr²
We need to calculate it for r = 6,
A(6) = 4π(6)²
A(6) = 4π(36)
A(6) = 144π

In short, Your Answer would be Option D

Hope this helps!

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If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to fou

galina1969 [7]

The answer is 0.3274

5 0

1 year ago

Match the following guess solutions ypyp for the method of undetermined coefficients with the second-order nonhomogeneous linear

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

1 ) Given that

$(d^2y/dx^2) + 4y = x - x^2 + 20\\\\ (d^2y/dx^2) + 4y = - x^2 + x + 20$

For a non homogeneous part $- x^2 + x + 20$ , we assume the particular solution is

$y_p(x) = Ax^2 + Bx + C$

2 ) Given that

$d^2y/dx^2 + 6dy/dx + 8y = e^{2x}$

For a non homogeneous part $e^{2x}$ , we assume the particular solution is

$y_p(x) = Ae^{2x}$

3 ) Given that

y′′ + 4y′ + 20y = −3sin(2x)

For a non homogeneous part −3sin(2x) , we assume the particular solution is

$y_p(x) = Acos(2x)+Bsin(2x)$

4 ) Given that

y′′ − 2y′ − 15y = 3xcos(2x)

For a non homogeneous part 3xcos(2x) , we assume the particular solution is

$y_p(x) = (Ax+B)cos2x+(Cx+D)sin2x$

4 0

1 year ago

Draw the unit circle with center (0,0)and plot the point P=(6,2). Observe there are TWO lines tangent to the circle passing thro

scZoUnD [109]

Answer:

Step-by-step explanation:

Given that a tangent is drawn from P (6,2) to unit circle with center at the origin.

The tangent passing through (6,2) would have equaiton of the form

$y-6 = m(x-2)\\y =mx-2m+6$ for suitable m.

Because this line is tangent, distance of centre of circle namely origin is the radius 1.

i.e. $|\frac{-2m+6}{\sqrt{1+m^2} } |=1\\(-2m+6 )^2 = 1+m^2\\3m^2-24m+35=0\\\\m=1.918, 6.082$

the coordinates are the intersection of the tangent with the circle

They are (-0.162, 0.987) and (0.462,-0.887)

8 0

2 years ago

Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFr

Neporo4naja [7]

Answer:

$\frac{-1}{4}$ and $\frac{-5}{8}$ are the locations higher than $\frac{-3}{4}$ foot

Step-by-step explanation:

We are given that Meg found one treasure at $\frac{-3}{4}$ foot

We are supposed to find Which of these location are higher than $\frac{-3}{4}$ foot?

i) $-\frac{7}{8}$

So, this location is not higher than $\frac{-3}{4}$ foot

ii) $-\frac{1}{4}$

So, $-\frac{1}{4}>\frac{-3}{4}$

So, this location is higher than $\frac{-3}{4}$ foot

iii) - 1 foot

$-1 < \frac{-3}{4}$

So,this location is not higher than $\frac{-3}{4}$ foot

iv)-2 feet

So,this location is not higher than $\frac{-3}{4}$ foot

v) $\frac{-5}{8}$

So, this location is higher than $\frac{-3}{4}$ foot

5 0

1 year ago

To complete bookshelves, a customer at your store needs to purchase vertical brackets to attach to the wall. The customer wants

stiks02 [169]

We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches

The brackets are
48/12 = 4 feet
and
60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3

The total cost is
($12.95 + <span>$16.95) * 3 = $89.7
The total cost of the brackets is </span>$89.7

8 0

1 year ago