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
QveST [7]
3 years ago
8

M is directly proportional to r cubed when r = 4, m = 160. Find the value of r when m = 540

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

r = 6

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportionality

To find k use the condition r = 4 when M = 160

k = \frac{M}{r^3} = \frac{160}{64} = 2.5, so

M = 2.5r³ ← equation of proportionality

When M = 540, then

540 = 2.5 r³ ( divide both sides by 2.5 )

216 = r³ ( take the cube root of both sides )

r = \sqrt[3]{216} = 6

You might be interested in
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she p
alukav5142 [94]

Answer: The mean price per share is $22.91

4 0
2 years ago
The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr
Scrat [10]

Answer:

AREA OF TRAINGLE =18

WE NO THE AREA OF 1/2 BH

B=6

PLUGGING IN THE VALUES

18 1/2 6 (H+1)

6=H+1

H=5

7 0
3 years ago
Rita ha decidido emprender un negocio de ventas de productos de protección personal, para lo cual tiene que inventir 1/3 de su d
d1i1m1o1n [39]

Answer:

3/10

Step-by-step explanation:

Subtract the sum of 1/3, 4/15 and 1/10 from 1:

                                 10/30 + 8/30 + 3/30 = 21/30, or 7/10

                                   Then:  1 - 7/10 = 3/10

6 0
3 years ago
Miguel bought 8 equally priced pens for $3.84.<br><br> How much will 15 of these pens cost?
Snezhnost [94]

Answer:

$7.20

Step-by-step explanation:

If 8 pens cost $3.84, we need to find out how much ojne pen costs.

To find out the cost of one pen we need to divide $3.84 by 8.

$3.84 / 8 = $0.48

1 pen cost $0.48

We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.

$0.48 x 15 = $7.20

15 pens cost $7.20

5 0
2 years ago
Step 3: Now multiply the values to get 14,918,904,000. That is almost 15 billion passwords.
Troyanec [42]

The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

<h3>How to determine the number of passwords</h3>

The given parameters are:

Password length = 8

Letters = 6

Numbers = 2

There are 26 letters and 10 digits.

Since the letters and the numbers can be repeated, then the number of passwords is:

Count = 26^6 * 10^2

Evaluate

Count = 30891577600

Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

Read more about combination at:

brainly.com/question/11732255

#SPJ1

7 0
2 years ago
Other questions:
  • Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree
    11·1 answer
  • In the same diagram of the staircase railing, what is the value of n? (Picture included)
    14·2 answers
  • Round off 600341 to the nearest a) tens b) hundreds c) thousands​
    14·1 answer
  • What’s the GCM of 16and 48 answer fast
    11·2 answers
  • What is the value of the angle ?
    11·1 answer
  • CraftWork purchased $12,000 worth of office furniture in 2005. According to
    5·2 answers
  • Max brought $20 to the arcade. Each arcade game cost $1.25 to play. He used $6.50 to buy snacks. Which of the following inequali
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%289x2-2x%2B1%29-%283x2%2B5x-8%29" id="TexFormula1" title="(9x2-2x+1)-(3x2+5x-8)" alt="(9x2-2x
    5·1 answer
  • Write the equation of the line in slope-intercept form given the graph below.
    9·2 answers
  • 23,210 ÷ 32 = SHOW LONG DIVISONN
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!