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TEA [102]
2 years ago
10

A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher

es?
The volume of the larger sphere is π
cubic inches greater than the volume of the smaller sphere.
Mathematics
1 answer:
just olya [345]2 years ago
3 0

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=\frac{4}{3} πr³-\frac{4}{3} πR³

=\frac{4}{3} π(12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

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Brandon uses the steps below to solve the equation 15x +6 = 14x +5 using algebra tiles.
Fed [463]

Answer:

D. Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2

Step-by-step explanation:

Key goal is to have x on one side while the other value to the right. By subtracting 14x on both sides, you would get x+6=5. You would finally subtract 6 on both sides, not 5, to get the x by itself, thus x=-1.

6 0
3 years ago
Read 2 more answers
Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state
ehidna [41]

Answer:

The answer is: the satement is FALSE.  

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

  • p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.  
  • p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.  

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C)  ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations  

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.  

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
8 0
3 years ago
Do you know the value of x?
inysia [295]

Answer:

im not sure but i think it is -7

Step-by-step explanation:

i think so just because looking at the top example but i might be wrong

8 0
3 years ago
Read 2 more answers
To practice for a competition, Jenna swam 680 meters in the pool each day for 3 weeks. How many kilometers did Jenna swim in tho
Kruka [31]

Answer:

2.04 km

Step-by-step explanation:

there are 1,000 m in 1 km

she was 680 x 3 meters = 2,040 m

2,040 m = 2.04 km

7 0
2 years ago
Line pq is the perpendicular bisector of line MN, what is QN?
GREYUIT [131]
We know that
if PQ <span>is the perpendicular bisector of line MN
then
MQ=QM
and
NP=MP
so
6x+1=10x-17----------> 10x-6x=17+1-----> 4x=18---------> x=18/4----> x=4.5

QN=2x+5-----> QN=2*4.5+5-----> QN=14

the answer is
QN is 14</span>
4 0
3 years ago
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