Identify the property illustrated in the equation. x2 + (y + z ) = x2 + (z + y )

The sphere is _____ cubic centimeters bigger than the cube. (Round to the nearest cubic centimeter.)

Misha Larkins [42]

ANSWER

The sphere is 10762 cubic centimeters bigger than the cube.

EXPLANATION

We want to find the difference in the volumes of the sphere and the cube.

To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.

The volume of a sphere is given as:

$V=\frac{4}{3}\pi r^3$

where r = radius

The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

$\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot15^3 \\ V\approx14137\operatorname{cm}^3 \end{gathered}$

The volume of a cube is given as:

$V=s^3$

where s = length of the side

The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

$\begin{gathered} V=15^3 \\ V=3375\operatorname{cm}^3 \end{gathered}$

Therefore, the difference in the volumes of the sphere and cube is:

$\begin{gathered} V_d=V_s-V_c \\ V_d=14137-3375 \\ V_d=10762\operatorname{cm}^3 \end{gathered}$

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.

6 0

10 months ago

Insurance companies A and B each earn an annual profit that is normally distributed with the same positive mean. The standard de

krok68 [10]

Answer:

C. 0.98

Step-by-step explanation:

Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.

P(B<0) = 0.9*P(A<0)

P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))

P(Z<-x/y) = 0.9*P(Z<-2)

P(Z<-x/y) = 0.0205

x/y =2.04

Or y/x = 1 /2.05

y/x =0.49

Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)

= 2*(y/x)

= 2*0.49

= 0.98

7 0

2 years ago

The perimeter of a rectangle is 16.6km, and its area is 13.42km2. Find its length and width. length : km width : km

Otrada [13]

Answer:

l=5.12 & w=2.62

Step by step explanation:

A=l×w

13.42=lw

w=13.42/l

$p = 2(l + w) \\ 16.6 = 2(l + \frac{13.42}{l} ) \\ 16.6 = 2( \frac{ {l}^{2} + 13.42}{l}) \\ 16.6 = 2(l + 13.42) \\ 16.6 = 2l + 26.84 \\ 2l = 26.84 - 16.6 \\ 2l = 10.24 \\ l = \frac{10.24}{2} \\ l = 5.12km$

Since you have found the value of the length you can find the value.of the width.

$w = \frac{13.42}{l} \\ w = \frac{13.42}{5.12} \\ w = 2.62km$

5 0

3 years ago

Which represents the reflection of f(x) = StartRoot x EndRoot over the y-axis?

klemol [59]

There’s not enough info

8 0

2 years ago

The graph of which function has a y-intercept of 3? On a coordinate plane, a parabola opens up. It goes through (negative 3, 3),

mixer [17]

Answer:

It is A

Step-by-step explanation:

The guy below is wrong because I got a 100 on the quiz on Edge.

4 0

2 years ago