Sphere a has a radius of 24 centimeters, and sphere b has a diameter of 42 centimeters. the radius of sphere a is multiplied by what factor to produce the radius of sphere b?

4/7
7/8
8/7
7/4

The factor is 7/8

Step-by-step explanation:

Ok, we know that Sphere A as a radius of 24 cm, and sphere B has a diameter of 42 cm.

We want to find the factor which multiplied by the radius of sphere A gives us the radius of sphere B.

First, let's find the radius of sphere B.

We know that Diameter = 2*Radius.

So the radius of sphere B is equal to the diamater divided by 2.

rB = 42cm/2 = 21cm

now, let's find the number x that:

24cm*x = 21cm

x= 21cm/24cm = 21/24  

now, we can divide numerator and denominator by the same number, in this case 3, and get:

x = 21/24 = (21/3)/(24/3) = 7/8

x = 7/8

So the factor is x= 7/8, the second option.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i