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Verdich [7]
3 years ago
7

The volume of two spheres is shown:

Mathematics
2 answers:
sp2606 [1]3 years ago
6 0

Answer:

0.6 in

Step-by-step explanation:

  • <em>Volume of the sphere formula: V = 4/3πr³, where r is the radius</em>

<u>Given:</u>

  • Volume of Sphere A = 30 cubic inches
  • Volume of Sphere B = 10 cubic inches

<u>Let R be the radius of sphere A and r be the radius of sphere B</u>

  • 30 = 4/3*3.14R³
  • R³ = 30*3/(4*3.14) ≈ 7.2
  • R = ∛7.2 ≈ 1.9 in

<u>And, similarly,</u>

  • r³ = 10*3/(4*3.14) ≈ 2.4
  • r = ∛2.4 ≈ 1.3 in

<u>The difference:</u>

  • R - r = 1.9 - 1.3 = 0.6 in

Sliva [168]3 years ago
3 0

Answer: 20.0 inches

Step-by-step explanation:

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Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

log_{10}(y)= 3.994

Then

y = 10^{3.994}

4 0
3 years ago
Find slope and y-intercept<br> 5x+3y=-6
katen-ka-za [31]

Answer:

m=-\frac53; q=-2

Step-by-step explanation:

Let's bring the line in the classical y=mx+q form

3y= -5x-6\\y=-\frac53 x -2

At this point we have the two values -\frac53 for the slope and 2 for the intercept

6 0
3 years ago
What type(s) of symmetry is/are shown in the figure below
Anestetic [448]

Answer:

horizontal

Step-by-step explanation:

as it's horizontal

8 0
2 years ago
Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for TT.)
Advocard [28]

Answer:

pi r squared divided by 2 for the half circle then add the area of the box to you number and there is your area

3 0
2 years ago
Please solve the question and chose from the provided answer options.
Nezavi [6.7K]

Answer:

Option A is correct.

Step-by-step explanation:

We are given the expression:

w(x) = (x+125)^1/3

We need to find w(50)

Putting x = 50 in the above equation

w(x) = (x+125)^1/3

w(50) = (50+125)^1/3

w(50) = (175)61/3

w(50) = 5.59

w(50) = 5.6

So, Option A is correct

7 0
3 years ago
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