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hammer [34]
2 years ago
6

How did the beetle uncover the ants secret plan?

Mathematics
1 answer:
SpyIntel [72]2 years ago
8 0
It bugged its phone.
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A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 3
inna [77]

Answer:

-1/4 meter per minute

Step-by-step explanation:

Since, the volume of a cube,

V=r^3

Where, r is the edge of the cube,

Differentiating with respect to t ( time )

\frac{dV}{dt}=3r^2\frac{dr}{dt}

Given, \frac{dV}{dt}=-3\text{ cubic meters per minute}

Also, V = 8 ⇒ r = ∛8 = 2,

By substituting the values,

-3=3(2)^2 \frac{dr}{dt}

-3=12\frac{dr}{dt}

\implies \frac{dr}{dt}=-\frac{3}{12}=-\frac{1}{4}

Hence, the rate of change of an edge is -1/4 meter per minute.

4 0
2 years ago
Which of the following can you determine when you use deduction and start from a given set of rules and conditions?
andrew-mc [135]
Deduction is a term used as inference to a known and validated principle. This is when you analyze points through logic from a given set of rules and conditions. You relate how the situation may conform to the rules. Thus. there is no wrong deduction. If you analyze it to be true, then that must be definitely correct. Therefore, the answer is letter B. What must be true.
5 0
2 years ago
Read 2 more answers
Find the least common denominators of these two rational experssions -1/y and 2/5y
algol13
The least common denominator is 5y, and can be obtained by multiplying 
-1/y by 5/5 to get -5/5y. 

If we add the numbers using the least common denominator, we get:
-5/5y + 2/5y = -3/5y
6 0
2 years ago
Sally and Anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Each w
artcher [175]
9 + 1.34 + 1 2 (3.50 +1.74)
 Step 1: add what is inside the parenthesis
 9 + 1.34 + 1 2 (5.24)
 Step 2: multiply what is inside the parenthesis by 12.
 9 + 1.34 + 62.88
 Step 3: Add all the numbers
 73.22
 answer
 9 + 1.34 + 1 2 (3.50 +1.74) = 73.22
6 0
2 years ago
Read 2 more answers
Each of four students hands in a homework paper. Later the teacher hands back the graded papers randomly, one to each of the stu
Stella [2.4K]

Answer:

9 possible ways.

Step-by-step explanation:

To explain this problem i'm going to use letters and numbers (only as example). The letters correspond to a student and the numbers to a homework. Te correct form we have is:

<u>Student</u> ⇒ <u>Homework</u>

    A       ⇒    1

    B       ⇒    2

    C       ⇒    3

    D       ⇒    4

In how many ways can the papers be handed back such that every student receives someone else's paper?. To answer this we need to form every group of Student/Homework possible, but not taking into count the correct way (showing above)

Possible groups:

1) A-2/B-1/C-4/D-3

2)A-2/B-4/C-1/D-3

3)A-2/B-3/C-4/D-1

4)A-3/B-1/C-4/D-2

5)A-3/B-4/C-2/D-1

6)A-3/B-4/C-1/D-2

7)A-4/B-1/C-2/D-3

8)A-4/B-3/C-2/D-1

9)A-4/B-3/C-1/D-2

We have 9 possible ways,

3 0
2 years ago
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