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Alex777 [14]
2 years ago
5

A cube has a volume of 64. What is the length of one side of the cube?

Mathematics
1 answer:
Sauron [17]2 years ago
8 0

We will solve this using volume of cube formula. Since, It is a cube all the sides are equal in length. Let's find the length with volume... ~

\boxed{ \sf \: volume = a^{3} }

Where A is the side of cube

We have, Volume = 64

Let's solve for a

\sf\to64 =  {a}^{3}

Swap the sides of the equation

\sf \to \: a^{3}  = 64

Take the cube root of 64

\sf \to \: a =  \sqrt[3]{64}

Solve for root

\sf \to \: a = 4

<em>Thus, Each side of the cube measures 4 unit..!</em>

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The population of a small industrial town was 12 910 in 2000. Each year, the population
balandron [24]

The population in the year 2020 is 4628

<h3>How to determine the population?</h3>

The given parameters are:

Initial, a = 12910

Rate, r = 5%

Since the population decreases, then we make use of an exponential decay function.

This is represented as:

f(n) = a * (1 - r)^n

So, we have:

f(n) = 12910 * (1 - 5%)^n

Evaluate the difference

f(n) = 12910 * 0.95^n

2020 is 20 years from 2000.

So, we have:

f(20) = 12910 * 0.95^20

Evaluate

f(20) = 4628

Hence, the population in the year 2020 is 4628

Read more about exponential functions at:

brainly.com/question/14355665

#SPJ1

6 0
2 years ago
Could someone pls help me if you know it thank you!:)
fenix001 [56]

Answer:

30

Step-by-step explanation:

The full pie chart will equal 100%

So we can add all the percentages together and then subtract that percentage from 100 and whatever's left is the parentage that they attend school.

12+3+5+10+5+35

70

100-70

30

They spend 30% attending school

Don't be afraid to reach out for further assistance. Hope this helps!

4 0
3 years ago
If A = {( x , y ): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A . y=
Papessa [141]
The answer is y=1/2x-3
8 0
3 years ago
If m&lt;BEG = (19x + 3)° and m&lt;EGC = (m&lt;GCB + 4x)°, which of the following statements is true about quadrilateral BEGC? Se
viktelen [127]

Answer:

The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only

Step-by-step explanation:

* Lets revise some facts about the quadrilateral

- Quadrilateral is a polygon of 4 sides

- The sum of measures of the interior angles of any quadrilateral is 360°

- The sum of measures of the exterior angles of any quadrilateral is 360°

* Lets solve the problem

- DEGC is a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The sum of the measures of its interior angles is 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The sum of measures of the exterior angles of any quadrilateral is 360°

∴ The statement in answer F is only true

3 0
3 years ago
A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
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