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maw [93]
3 years ago
7

The ink page yield for a printer cartridge indicates how many pages a cartridge should print. A cartridge rated at 450 pages is

64% full
-How many pages should be left to print?
-How many pages have already been printed?
Mathematics
1 answer:
Alona [7]3 years ago
4 0
The cartridge can only print 64 percent of 450 pages.

0.64 * 450 = 288

The cartridge can still print 288 pages.

The cartridge printed 100 - 64, or 36 percent, of 450 pages.

0.36 * 450 = 162

The cartridge printed 162 pages already.

Have an awesome day! :)
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The table shows the gallons of water in a pool over time.
Valentin [98]

Answer:

6 gallons per minute

Step-by-step explanation:

Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is  

Q = a + bt ........... (1)

Now, Q(t = 0) is given to be 50 gallons.

So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).

Now, two points on the graph are (0,50) and (1,44).

So, the slope = b =  = - 6 gallons per minute.

Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)

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2 years ago
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It doesn't matter which of the two points on a line you choose to call (x1, y1) and which you choose to call (x2, y2) to calcula
frosja888 [35]
The correct answer is true ~ Apex 
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3 years ago
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Please help me with this!!!!
Len [333]

Answer:

Slope AB = -3/2

R = (4, -7)


Step-by-step explanation:

AB (-6 , 8) and (-2 , 2)

Slope AB = (8 - 2) /(-6 + 2) = 6/-4 = -3/2

Triangle QRS , QR is half of AB, same orientation and given Q (2 , -4)  so R = (4, -7)


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2 years ago
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100 POINTS PLEASE HELP!!
andrew-mc [135]

Answer:

a)  ∠2 and ∠4 are a linear pair

∠4 = 115°

b)  ∠2 and ∠7 are alternate exterior angles

∠7 = 65°

c) ∠2 and ∠3 are vertical angles

∠3 = 65°

Step-by-step explanation:

Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)

Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are <u>congruent</u>.

Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always <u>congruent.</u>

a)  ∠2 and ∠4 are a linear pair

⇒ ∠2 +∠4 = 180

⇒ 65 + ∠4 = 180

⇒ ∠4 = 180 - 65

⇒ ∠4 = 115°

b)  ∠2 and ∠7 are alternate exterior angles

⇒ ∠2 ≅ ∠7

⇒ ∠7 = 65°

c) ∠2 and ∠3 are vertical angles

⇒ ∠2 ≅ ∠3

⇒ ∠3 = 65°

5 0
2 years ago
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Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0&lt;=x
jeyben [28]

Answer:

The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

Step-by-step explanation:

First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:

First derivative

f'(x) = -4\cdot (-x+2)^{3}

Second derivative

f''(x) = 12\cdot (-x + 2)^{2}

Then, we proceed to do the First and Second Derivative Tests:

First Derivative Test

-4\cdot (-x+2)^{3} = 0

-x + 2 = 0

x = 2

Second Derivative Test

f''(2) = 12\cdot (-2+2)^{2}

f''(2) = 0

The Second Derivative Test is unable to determine the nature of the critical values.

Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

3 0
3 years ago
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