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Advocard [28]
3 years ago
8

The edge of one is 4cm longer than the edge of a second cube.The volume of the cubes differ by 316m square. Find the length of e

ach cube
Anyone that answers I will mark as brilliant
Mathematics
1 answer:
quester [9]3 years ago
5 0

Answer:

The sides are 3 and 7 cm long.

Step-by-step explanation:

Let the lengths be x and x+4 cm, then

(x + 4)^3 - x^3 = 316

x^3  + 12x^2 + 48x + 64 - x^3 = 316

12x^2 + 48x + 64 - 316 = 0

12x^2 + 48x - 252 = 0

12(x^2 + 4x - 21) = 0

12(x + 7)(x - 3) = 0

x = -7, 3

So one cube has side of length  3 cm.

The other has side 3+4 = 7 cm.

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Answer:

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Step-by-step explanation:

5x + 5y - 3x + 3y

5x - 3x + 5y + 3y

2x + 8y

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3 years ago
Which table represents a function?
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PtichkaEL [24]

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cookie recipe calls for 1/4 teaspoon of vanilla extract she has 9/12 of a teaspoon in her kitchen how many batches of cookies ca
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4 years ago
You get a raise of 3.5% each year.
Sindrei [870]

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

A(t) = A(0)(1 + r)^t

2A(0) = A(0)(1.035)^t

(1.035)^t = 2

\log{(1.035)^t} = \log{2}

t\log{1.035} = \log{2}

t = \frac{\log{2}}{\log{1.035}}

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

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More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0
2 years ago
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