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
valentina_108 [34]
3 years ago
10

Rewrite this expression using the distributive property then simplify. 2/3(6x+12)

Mathematics
2 answers:
Nostrana [21]3 years ago
8 0
So distributive property of multiplication says
a(b+c)=(ab)+(ac)

so 2/3(6x+12)=((2/3)6x)+((2/3)12)=12/3x+24/3=4x+8=4(x+2)
Bezzdna [24]3 years ago
8 0
2/3(6x+12)

=12/3x+24/3

=4x+8
You might be interested in
10 gallons of gasoline costs $130. The cost of gasoline per gallon is
antoniya [11.8K]
13 dollars per gallon

130\10 = 13
3 0
2 years ago
8k - 6 = 10k + 6<br> dress<br> Rhfhdhfjfjff
SashulF [63]

Answer:

-6 I meant

Step-by-step explanation:

5 0
3 years ago
If 20 divided by 5 = 4 <br> Then 20 divided by 5.5=4.?
ahrayia [7]

Answer:

no

Step-by-step explanation:

20 divided by 5.5 is a decimal 3.63

3 0
3 years ago
I really need help please answer
belka [17]

Answer: Choice B) between 6:48 AM and 5:12 PM

=========================================================

Explanation:

I've seen this problem before, and the first part states that if the temperature is above 25 degrees C, then the air conditioner turns on to start cooling the castle.

We want to find values of t that satisfy f(t) > 25

This is the same as trying to solve f(t) - 25 > 0

So we have,

f(t) = 24 - 5\cos\left(\frac{\pi}{12}t\right)\\\\   f(t)-25 = 24 - 5\cos\left(\frac{\pi}{12}t\right)-25\\\\   f(t)-25 = -1 - 5\cos\left(\frac{\pi}{12}t\right)\\\\   f(t)-25 > 0\\\\ -1 - 5\cos\left(\frac{\pi}{12}t\right) > 0\\\\

To solve this inequality, we can graph using Desmos as I've done so below. See the attached image.

Note how I used x in place of t. This is because the graphing calculator graphs (x,y) coordinates.

Furthermore, note how I marked the two points (6.769, 0) and (17.231, 0)

Between these two points is when the curve is above the x axis, when f(t) > 25 is true. This is when the temperature is above 25 degrees C, and when the air conditioner is working.

When t = 6.769, this means that roughly 6.769 hours have passed since midnight which means we're somewhere between 6 am and 7 am. The only value that works from the answer choices is 6:48 AM.

Note how 0.769*60 = 46.14 is fairly close to 48. This error is likely due to how things are rounded.

Then focusing on the point  (17.231, 0) means that t = 17.231. So 17.231 hours have elapsed since midnight and we're now at roughly 1700 hours

1700 hours in military time = 17-12 = 5 pm

The time value t = 17.231 is between 5 pm and 6 pm. The only thing that works is 5:12 pm.

We can then note how 0.231*60 = 13.86 which is also probably due to rounding error (it's fairly close to 12 though).

--------------------------

In short, we found the function for f(t)-25 and graphed it as shown below. The two points (6.769, 0) and (17.231, 0) help us see when the AC is turned on, which is roughly between 6:48 AM and 5:12 PM. This seems like a reasonable time for the AC to be operational. Something like between 5:12 PM and 6:48 AM seems like a bad idea because the AC would be working mostly at night, instead of during the day.

Anything beyond t = 24 represents the next day, which is when the cycle starts all over again. So we only need to focus on the window from t = 0 to t = 24. Specifically, the portion of the f(t)-25 curve that is above the x axis.

8 0
3 years ago
Please help!!!!!!!!!
never [62]

Answer:

retna

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Charles uses a graphing calculator to find a quadratic regression model f for a given set of data. When he compares model f to a
    9·1 answer
  • Which could be used to evaluate the expression Negative 6 (4 and two-thirds)? (Negative 6) (4) + (negative 6) (two-thirds) (Nega
    12·2 answers
  • Solve for x and y . 2y-7x=-9 and 4x+6=y
    12·2 answers
  • What is the mean absolute deviation of the data set? {12, 17, 12, 8, 6} A: 3.2 B: 5.5
    7·2 answers
  • a gold bar that is 16 centimeters by 2.5 centimeters by 5 centimeters has a density of 19.3 grams per cubic centimeter. what is
    9·2 answers
  • Max is making a rectangular garden that is 5 feet less than twice it's width. If the perimeter of the garden is 80 feet, what wi
    15·1 answer
  • Which of the following series is/are convergent by the alternating series test?
    5·1 answer
  • What is the smallest positive degree angle measure equivalent to sin^-1 (0.391)?
    12·2 answers
  • I'm doing geometry. Does anyone know how to do this?
    14·1 answer
  • Help Katherine has a new job and earns salary of $55,000. max has a new job and earns a salary of $64,000. Katherine will receiv
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!