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
slavikrds [6]
3 years ago
5

A cube has side length a. The side lengths are decreased to 40% of their original size. Write an expression in simplest form for

the volume of the new cube in terms of a.
Mathematics
1 answer:
o-na [289]3 years ago
6 0
V=a ^{3} originally. Then you reduces the side lengths a so it will beV=( \frac{2}{5} a)^{3} = \frac{8}{125}a^{3}
Just note that 40% is the same as 2/5.<span />
You might be interested in
Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of y?
Katena32 [7]
Because JKLM is a parallelogram, MT = TK.

MT: 8y + 18
TK : 12y - 10

MT = TK
8y + 18 = 12y - 10
8y - 12y = -10 -18
-4y = -28
y = -28/-4
y = 7

MT: 8y + 18 → 8(7) + 18 = 56 + 18 = 74
<span>TK : 12y - 10 </span>→ 12(7) -10 = 84 - 10 = 74

The value of y is 7.
6 0
3 years ago
Read 2 more answers
MJ solved the equation -5x - 16 = 5
Andrei [34K]

Answer:

Step-by-step explanation: He add 16 together you are not suppose to add 16 you are suppose to add 5 together so instead of 16 + 16 you do 16+ 5

3 0
3 years ago
How long will it take for an investment to double in valve if it earns 12.25% compounded continuously ?
goblinko [34]

Answer:

At the given rate it will take 3 years and 5 months for the investment to be doubled

Step-by-step explanation:

Here, we want to get the amount of time it will take an investment that earns 12.25% to double if it’s compounded continuously

We can have the exponential relation as follows;

P = I( 1 + r)^n

P is the present value, let us call this 2x as it two times the initial

I is the initial value which is x in this case

r is the interest rate = 12.25% which is same as 12.25/100 = 0.1225

n is the number of years which we want to calculate

Thus, we have

2x = x( 1 + 0.1225)^n

2 = 1.225^n

Ln 2 = n ln 1.225

n = ln 2/ln 1.225

n = 3.42

if 3.42 is the number of years, let us have 0.42 in months

That will be 0.42 * 12 = 5.04

So we are looking at the investment being doubled at 3 years and 5 months

6 0
3 years ago
7. George works as a laborer and earns $1850.00 every month. If he works 40 hours a weel
soldier1979 [14.2K]

Step-by-step explanation:

I guess we can simply assume that the month has 4 weeks.

1 month = 4 weeks = 4×40 = 160 hours = $1850.00

that means in 1 hour he gets

1850/160 = $11.5625 ≈ $11.56

that is what "hourly rate" means.

3 0
2 years ago
When there is a _____ relationship, as values of variable X (e.g., income) increase, values of variable Y (e.g., education level
faltersainse [42]

Answer:

When there is a <u>positive</u> relationship, as values of variable X (e.g., income) increase, values of variable Y (e.g., education level) also increase.

Step-by-step explanation:

Consider the provided information.

It is given that the value of variable x increase, and value of variable y also increase.

A positive relationship is when the values increase together or we can say that the value both variable tends to move in same direction. If the value of x  increase then the value of y is also increase.

A Negative relationship is when one value decreases as the other increases.  Or we can say that the value of x increase the value of y decrease.

Hence, the provided relationship is positive as both values moves in same direction.

When there is a <u>positive</u> relationship, as values of variable X (e.g., income) increase, values of variable Y (e.g., education level) also increase.

6 0
3 years ago
Other questions:
  • What is the position of 9 in the number 932,805?
    6·1 answer
  • Which of the following are not parts of a pyramid?
    6·1 answer
  • Is this a reduction or enlargement?
    9·1 answer
  • This is factoring polynomial ??
    10·2 answers
  • I need help with this question
    12·1 answer
  • Hbbbbbbbbmmmmmhhehsjsdjs
    5·1 answer
  • Mark paid $8.54 for pizza. He now has $17.75. How much money did he have before buying the pizza. ​
    11·2 answers
  • Find the slope given the points (2,-7)and(-1,6)​
    7·2 answers
  • Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation<br><br> X-8=-9
    7·1 answer
  • Solve for x. Round your answer to the nearest tenth.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!