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
Ostrovityanka [42]
3 years ago
11

Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallo

ns of water in 4 minutes. The equation in equals 6t shows the number of gallons of water n with which pipe you fills the tank in t minutes. Which pipe fills the tank with more water each minute and by how much
Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer:

Pipe Q

Step-by-step explanation:

Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallons of water in 4 minutes. The equation in equals n = 6t shows the number of gallons of water n with which pipe Q fills the tank in t minutes. Which pipe fills the tank with more water each minute and by how much

Solution:

Pipe P fills the tank with 20 gallons of water in 4 minutes. If n represent the number of gallons of water that fills the tank in t minutes, then for pipe P:

n = 20 gallons / 4 minutes *t

n = 5t

Also, the number of gallons of water that fills the tank in t minutes for pipe Q is given by:

n = 6t

Since the rate at which pipe Q fills the tank (i.e. 6t) is greater than the rate at which pie P fills the tank (i.e. 5t), hence Pipe P  fills the tank with more water each minute by 6 gallons while pipe P fills by 5 gallons each minute.

You might be interested in
Please help with the attached question. Thanks
Mademuasel [1]

Answer:

Choice A) F(x) = 3\sqrt{x + 1}.

Step-by-step explanation:

What are the changes that would bring G(x) to F(x)?

  • Translate G(x) to the left by 1 unit, and
  • Stretch G(x) vertically (by a factor greater than 1.)

G(x) = \sqrt{x}. The choices of F(x) listed here are related to G(x):

  • Choice A) F(x) = 3\;G(x+1);
  • Choice B) F(x) = 3\;G(x-1);
  • Choice C) F(x) = -3\;G(x+1);
  • Choice D) F(x) = -3\;G(x-1).

The expression in the braces (for example x as in G(x)) is the independent variable.

To shift a function on a cartesian plane to the left by a units, add a to its independent variable. Think about how (x-a), which is to the left of x, will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by a units, subtract a from its independent variable.

For example, G(x+1) is 1 unit to the left of G(x). Conversely, G(x-1) is 1 unit to the right of G(x). The new function is to the left of G(x). Meaning that F(x) should should add 1 to (rather than subtract 1 from) the independent variable of G(x). That rules out choice B) and D).

  • Multiplying a function by a number that is greater than one will stretch its graph vertically.
  • Multiplying a function by a number that is between zero and one will compress its graph vertically.
  • Multiplying a function by a number that is between -1 and zero will flip its graph about the x-axis. Doing so will also compress the graph vertically.
  • Multiplying a function by a number that is less than -1 will flip its graph about the x-axis. Doing so will also stretch the graph vertically.

The graph of G(x) is stretched vertically. However, similarly to the graph of this graph G(x), the graph of F(x) increases as x increases. In other words, the graph of G(x) isn't flipped about the x-axis. G(x) should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points (x, y)'s that are on the graph of F(x) fit into the expression y = F(x) = 3\sqrt{x - 1}.

5 0
3 years ago
Read 2 more answers
The claim is that the standard deviation of the speeds of drivers in Bradford is 8 mph. An experienced driver feels that this is
Irina-Kira [14]

Answer:

Null hypothesis is rejected. Standard deviation is > 8 miles per hour

Step-by-step explanation:

σ [Population standard deviation] = 8 , s [sample standard deviation] = s

n [no of items] = 8

H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8

χ2 = (n - 1) . s^2 / σ^2

= 49 x (10.5)^2 / 82 = 5402.25 / 64

χ2 = 84.410

df [degree of freedom] = n -1 = 50 - 1 = 49

P value (χ^2 49 > 84.410) = 0.00125

p = 0.0013

p < α ie 0.05

So, H0 is rejected

Hence we state that standard deviation is > 8 miles per hpur

6 0
3 years ago
WORTH MANY POINTS AND NEEED HELP ASAP
Maru [420]

Answer:

6x

Step-by-step explanation:

Area of triangle = l x w => 2x x 3x = 6x

4 0
2 years ago
Tell what you would do to isolate the variable.
Mariana [72]
<span>Simplifying x + -1.4 = 7.82 Reorder the terms: -1.4 + x = 7.82 Solving -1.4 + x = 7.82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + x = 7.82 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + x = 7.82 + 1.4 x = 7.82 + 1.4 Combine like terms: 7.82 + 1.4 = 9.22 x = 9.22 Simplifying x = 9.22</span>
5 0
3 years ago
Read 2 more answers
Compare the fractions. 4/7 1/6.<br> a. &gt;<br> b. =<br> c.
BabaBlast [244]
To start with, write both fractions with same denominator, i.e LCM of 6 and 7
Thus,
4/7=24/42

1/6=7/42
This means 4/7 is greater than 1/6
The answer is thus a
4 0
3 years ago
Read 2 more answers
Other questions:
  • In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
    10·1 answer
  • George ate 4 slices of pizza. If this was 25% of the slices at the dinner table, how many slices were at the table to start with
    10·1 answer
  • When integer x is multiplied by 3, the result is greater than 10 but less than 14?
    8·1 answer
  • Use your estimation skills to place each of the following onto the number line.
    7·1 answer
  • The answer asap plz
    7·2 answers
  • If n = -1, which of the following statements is false?
    8·1 answer
  • It is commonly believed that the mean body temperature of a healthy adult is
    6·1 answer
  • Please help, I need the answer
    15·2 answers
  • Felicia opened a bank account and made an openig deposit of $900.
    9·1 answer
  • Graph of an equation is shown below:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!