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
Gnom [1K]
3 years ago
15

A bucket of water was 1/6 full, but it still had 2 3/4 gallons of water in it. how much water would be in one fully filled bucke

t?
Mathematics
1 answer:
34kurt3 years ago
5 0
13 1/8 gallons of water.
You might be interested in
Fourth-eight is what percent of 60
dsp73
48 is 80% of 60

48 of 60 can be written as 48/60

Multiply both the numerator and the denominator by 100
48/60 · 100/100 = 80/100 = .8 = 80%

If you are using a calculator, simply enter 48 ÷ 60 · 100 which will give you 80 as the answer. 




6 0
3 years ago
Read 2 more answers
What is the average acceleration of a southbound train that slows down from 15 m/s to 8.6 m/s in 1.2 s?
horrorfan [7]

Answer:

The average acceleration of train is 5.34\ m/s^2

Step-by-step explanation:

We have,

A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.

It is required to find the average acceleration of the train.

a=\dfrac{v-u}{t}\\\\a=\dfrac{(8.6-15)\ m/s}{1.2\ s}\\\\a=-5.34\ m/s^2

The average acceleration of train is 5.34\ m/s^2.  Negative signs shows that the train is decelerating.

5 0
3 years ago
Solve for x. x÷(-2)=1.4​
nignag [31]

Answer:

x=-2.8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Simplify: <br> 3(n-2) <br><br> whats the answer?
Pie

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

3 0
3 years ago
Let f(x)=5x3−60x+5 input the interval(s) on which f is increasing. (-inf,-2)u(2,inf) input the interval(s) on which f is decreas
o-na [289]
Answers:

(a) f is increasing at (-\infty,-2) \cup (2,\infty).

(b) f is decreasing at (-2,2).

(c) f is concave up at (2, \infty)

(d) f is concave down at (-\infty, 2)

Explanations:

(a) f is increasing when the derivative is positive. So, we find values of x such that the derivative is positive. Note that

f'(x) = 15x^2 - 60&#10;

So,

&#10;f'(x) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 15x^2 - 60 \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 15(x - 2)(x + 2) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textgreater \  0} \text{   (1)}

The zeroes of (x - 2)(x + 2) are 2 and -2. So we can obtain sign of (x - 2)(x + 2) by considering the following possible values of x:

-->> x < -2
-->> -2 < x < 2
--->> x > 2

If x < -2, then (x - 2) and (x + 2) are both negative. Thus, (x - 2)(x + 2) > 0.

If -2 < x < 2, then x + 2 is positive but x - 2 is negative. So, (x - 2)(x + 2) < 0.
 If x > 2, then (x - 2) and (x + 2) are both positive. Thus, (x - 2)(x + 2) > 0.

So, (x - 2)(x + 2) is positive when x < -2 or x > 2. Since

f'(x) \ \textgreater \  0 \Leftrightarrow (x - 2)(x + 2)  \ \textgreater \  0

Thus, f'(x) > 0 only when x < -2 or x > 2. Hence f is increasing at (-\infty,-2) \cup (2,\infty).

(b) f is decreasing only when the derivative of f is negative. Since

f'(x) = 15x^2 - 60

Using the similar computation in (a), 

f'(x) \ \textless \  \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textless \  0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \ \textless \  0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textless \  0} \text{ (2)}

Based on the computation in (a), (x - 2)(x + 2) < 0 only when -2 < x < 2.

Thus, f'(x) < 0 if and only if -2 < x < 2. Hence f is decreasing at (-2, 2)

(c) f is concave up if and only if the second derivative of f is positive. Note that

f''(x) = 30x - 60

Since,

f''(x) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 30x - 60 \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 30(x - 2) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow x - 2 \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow \boxed{x \ \textgreater \  2}

Therefore, f is concave up at (2, \infty).

(d) Note that f is concave down if and only if the second derivative of f is negative. Since,

f''(x) = 30x - 60

Using the similar computation in (c), 

f''(x) \ \textless \  0 &#10;\\ \\ \Leftrightarrow 30x - 60 \ \textless \  0 &#10;\\ \\ \Leftrightarrow 30(x - 2) \ \textless \  0 &#10;\\ \\ \Leftrightarrow x - 2 \ \textless \  0 &#10;\\ \\ \Leftrightarrow \boxed{x \ \textless \  2}

Therefore, f is concave down at (-\infty, 2).
3 0
3 years ago
Other questions:
  • Which statement is true? Select one: a. 1.2 &lt; -6.9 b. 6.9 &lt; 1.2 c. -6.9 &lt; -1.2 d. -1.2 &gt; 6.9
    15·1 answer
  • Allison is twice as old a bob. The sum of their ages is 54. How old is Bob?
    13·1 answer
  • 1. solve for x: 2(x+2) + 3(x-1) = 3x + 7 +
    7·1 answer
  • If f(x) = 3/x + 2 - x-3, complete the following statement ( round your answer to the nearest hundredth):
    8·2 answers
  • Kathy uses 8.6 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is
    10·2 answers
  • Need help with my geometry question please
    14·2 answers
  • At a snack stand, a medium soda costs $1.19, a chicken sandwich costs $3.09 , and an order of sweet potato fries costs $2.59. Ab
    14·1 answer
  • Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!
    8·1 answer
  • This graph plots the number of wins last year and this year for a sample of professional football teams.
    6·1 answer
  • Please help me with this question!​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!