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Whitepunk [10]
4 years ago
15

When a window is open, the temperature in a room falls 5°F every 15 minutes. Before the window is opened, the temperature was ​

70°F ​ . Pls Help Me! Will mark Brainliest
Use the Ray tool to make a graph that shows the temperature of the room, T, after the window has been open for m minutes.

Mathematics
1 answer:
AnnZ [28]4 years ago
4 0

Answer:

See attached graph

Step-by-step explanation:

Let m be the number of minutes passed and T be the temperature (in F°)

Before the window is opened, the temperature was ​ 70°F, then at m = 0 minutes, T = 70°F

When a window is open, the temperature in a room falls 5°F every 15 minutes. This means

at m = 15, T = 70°F - 5°F = 65°F

at m = 30, T = 70°F - 10°F = 60°F

at m = 45, T = 70°F - 15°F = 55°F

and so on.

Plot  points (0,70), (15,65), (30, 60), (45, 55) and connect them with a straight line. This is the graph that shows the temperature of the room, T, after the window has been open for m minutes.

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Rule of 72 says to divide 72 by the rate of return and that will be the number of years an investment will double
 so 72 / 9.6 = 7.5 years to double

7.5 * 2 = 15 years

18-3 = 15

 the answer is: <span>Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.</span>

5 0
3 years ago
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There is 40% decreased in price on a sale it is further decreased by 5%,find the total decreased percentage.
VladimirAG [237]
Hope it helps

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3 0
3 years ago
Determine whether y varies with x. If so, find the constant of variation and write the function rule.
ira [324]

Answer:  Yes, y does vary directly with x.

Constant of variation = 1/4

The function rule is  y = (1/4)x

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

Explanation:

Let's assume that y does vary directly with x.

If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.

Solving for k gets us k = y/x

For each row, divide the y value over the x value

  • row one: k = y/x = 14/56 = 0.25
  • row two:  k = y/x = 20/80 = 0.25
  • row three: k = y/x = 22/88 = 0.25

Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.

So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x

6 0
1 year ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

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RSB [31]
100/125 * 100 = 80 % (80 percent)
6 0
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