1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tom [10]
3 years ago
8

A sphere is dilated by a scale factor of 1.5 to create a new sphere. How does the volume of the new sphere compare with the volu

me of the original sphere?
A) The volume of the new sphere is 1.5 times the volume of the original sphere.
 B) The volume of the new sphere is 3.0 times the volume of the original sphere. 
C) The volume of the new sphere is 1.52 times the volume of the original sphere. 
D) The volume of the new sphere is 1.53 times the volume of the original sphere.
Mathematics
2 answers:
nydimaria [60]3 years ago
8 0

Answer: D


Step-by-step explanation:


Vladimir [108]3 years ago
7 0
Hmm, I am pretty sure the answer is A.
You might be interested in
Evaluate ab for a = -2 3/4 and b= - 4/6
nataly862011 [7]

Answer:

1  5/6

Step-by-step explanation:

ab = (-2 3/4) * (-4/6)

     = ( -11/4) * ( -4/6)

     = (11 * 4) / (4 * 6 )

      = 11/6

       = 1  5/6

7 0
3 years ago
Find the seventh term of the sequence given by the rule t = -5n+2
Artemon [7]
I would go with -33 cause if you replace the t with -33 you would have to solve the problem and it would be 7 so -33 is the answer.
6 0
3 years ago
In everyday English, interpret the financial meaning of the
Gemiola [76]

Answer:

The y-intercept refers to the y-coordinate of a point where a curve or a line, intersects the y-axis.

In the given equation, the y-intercept is ( 0, 9.5).

Step-by-step explanation:

We have been given the equation;

y=0.10x+9.50

The y-intercept is simply the y-coordinate of a point where the line intersects the y-axis. At this point, the value of x is usually zero.

y = 0.10 (0) + 9.50

y = 0 + 9.50

y = 9.50

is our y-intercept

8 0
3 years ago
The size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumfere
scZoUnD [109]
C=d x pi
d= 24
C= 24 x 3.14
C=75.36 inches

hope this helps
8 0
3 years ago
What are the solutions to the equation 2(x-3)^2=54 ?
erastova [34]

Answer:

      x =(6-√108)/2=3-3√ 3 = -2.196

 x =(6+√108)/2=3+3√ 3 = 8.196

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

2 • (x - 3)2 - 54 = 0

Step  2  :

 2.1    Evaluate :  (x-3)2   =  x2-6x+9 

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2x2 - 12x - 36  =   2 • (x2 - 6x - 18) 

Adding  9  has completed the left hand side into a perfect square :

   x2-6x+9  =

   (x-3) • (x-3)  =

  (x-3)2  (x-3)1 =

   x-3

Now, applying the Square Root Principle to  Eq. #4.3.1  we get:

   x-3 = √ 27

Add  3  to both sides to obtain:

   x = 3 + √ 27

Since a square root has two values, one positive and the other negative

   x2 - 6x - 18 = 0

   has two solutions:

  x = 3 + √ 27

   or

  x = 3 - √ 27

Solve Quadratic Equation using the Quadratic Formula

 4.4     Solving    x2-6x-18 = 0 by the Quadratic Formula .

 According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                     

            - B  ±  √ B2-4AC

  x =   ————————

                      2A

  In our case,  A   =     1

                      B   =    -6

                      C   =  -18

Accordingly,  B2  -  4AC   =

                     36 - (-72) =

                     108

Applying the quadratic formula :

               6 ± √ 108

   x  =    —————

                    2

Can  √ 108 be simplified ?

Yes!   The prime factorization of  108   is

   2•2•3•3•3 

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 108   =  √ 2•2•3•3•3   =2•3•√ 3   =

                ±  6 • √ 3

  √ 3   , rounded to 4 decimal digits, is   1.7321

 So now we are looking at:

           x  =  ( 6 ± 6 •  1.732 ) / 2

Two real solutions:

 x =(6+√108)/2=3+3√ 3 = 8.196

or:

 x =(6-√108)/2=3-3√ 3 = -2.196

7 0
3 years ago
Other questions:
  • What is 2.32 rounded to the nearest thousandth
    7·1 answer
  • Thea used 1/2 of 10 blocks to build a house. Find 1/2 of 10 blocks
    15·2 answers
  • A proportional relationship is shown in the table below:
    9·2 answers
  • At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
    5·1 answer
  • Seventeen members of Tony's family are going to an amusement park during the week of their family reunion. Adult tickets cost $4
    10·2 answers
  • The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 1 year. Wha
    13·1 answer
  • An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?
    5·1 answer
  • April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have
    8·1 answer
  • Help its my birthday and i dont know the answer :(
    15·1 answer
  • Victoria correctly determined the area of this parallelogram by adding the areas of the rectangle and triangles.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!