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
Kaylis [27]
2 years ago
12

2. Find the slope of a line parallel to 3y - 9x = 15 M = -3 M = 3 M = 9 M = -6

Mathematics
1 answer:
Wewaii [24]2 years ago
7 0

Answer:

The slope of the parallel is 3 or M = 3 for this question

You might be interested in
A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

__

Interestingly, the ratio of h to r is √2.

8 0
3 years ago
Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard-long pieces Marilyn can cut from this ribbon?
makkiz [27]

Marilyn can cut 14 pieces

6 0
3 years ago
Tony sells sporting goods. He makes a 10 percent commission on every dollar of sales that he makes. One month Tony got a commiss
Zina [86]

Answer:

25000

Step-by-step explanation:

2500÷.10=25000

4 0
3 years ago
Read 2 more answers
How many whole numbers are there up to 100, including 100?​
vladimir2022 [97]

Answer:

100

Step-by-step explanation:

because... LOGIC

5 0
3 years ago
Point A is located at (-6, 2). Which point on the coordinate plane shows a reflection of point A across the
Mrrafil [7]
I think (-6,-2) because it would switch into the all negative quadrant making them both negative.
3 0
3 years ago
Other questions:
  • A stereo system is being installed in a room with a rectangular floor measuring 11 11 feet by 10 10 feet and a a 9 9​-foot ceili
    14·1 answer
  • What is the value of x? 2/7(x+4)=−6 −35 −25 25 35
    11·1 answer
  • Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the ba
    8·1 answer
  • a rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the leng
    10·1 answer
  • 2 consecutive odd integers whose product is 63
    9·2 answers
  • Help! I need new dish soap. Which
    15·1 answer
  • Q2
    5·1 answer
  • Write an exponential function in the form y=ab^x 0,6 2,96
    11·1 answer
  • 2. Tonya runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?​
    10·1 answer
  • A shoe box is covered with packing paper before being shipped. The paper costs $0.02 per square inch. How much will it cost to c
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!