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Shtirlitz [24]
3 years ago
8

One winter night the temperature fell 13 degrees between midnight and 5 A.M. By 9 A.M.the temperature had doubled from what it w

as at 5 A.M. By​ noon, it had risen another 9 degrees to 29 degrees. What was the temperature at​ midnight?
Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:

23 degrees

Step-by-step explanation:

First, subtract 9 from 29 to find the temperature at 9 A.M. The temperature at 9 A.M. was 20 degrees. The temperature from 5 A.M. doubled to get to the temperature at 9 A.M., so divide 20 by 2. The temperature at 5 A.M. was 10 degrees. The temperature from midnight to 5 A.M. fell 13 degrees, so add 13 to get the temperature at midnight. 13+10=23. It was 23 degrees at midnight.

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If the original quantity is 15 and the new quantity is 19, estimate the percent change.
eduard
To calculate percent change:
(difference between original and new)/original * 100
(19-15)/15 * 100 =
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3 years ago
A turtle can walk \dfrac{1}{12} 12 1 ​ start fraction, 1, divided by, 12, end fraction of a kilometer in an hour. The turtle is
sashaice [31]

Answer:

It will take turtle 2\frac{2}{5} \ hour to reach the pond.

Step-by-step explanation:

Given:

A turtle can walk 1/12 of a kilometer in an hour.

The turtle is 1/5 of a kilometer away from a pond.

Now, to find the time it will take the turtle to reach the pond.

<u>Speed</u> of turtle  =  \frac{1}{12}\ kilometer\ per\ hour.

<u>Distance</u> of turtle from the pond =  \frac{1}{5} \ kilometer.

Now, to get the time it will take turtle to reach the pond we put formula:

Time=\frac{Distance}{speed}

Time=\frac{\frac{1}{5}}{\frac{1}{12}}

Time=\frac{1}{5} \times \frac{12}{1}

Time=\frac{12}{5}

Time=2\frac{2}{5}\ hour.

Therefore, it will take turtle 2\frac{2}{5} \ hour to reach the pond.

3 0
3 years ago
The graph of f(x) = |x| is transformed to g(x) = [X + 11-7. On which interval is the function decreasing?
puteri [66]

Answer:

The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

Step-by-step explanation:

* Lets explain how to solve it

- Decreasing function means a function with a graph that moves

 downward as it is followed from left to right.

- For example, any line with a negative slope is decreasing function

- Lets look to the attached graph to understand the meaning of the

 decreasing function

∵ f(x) = IxI ⇒ green graph

∵ g(x) = Ix + 1I - 7 ⇒ purple graph

- From the graph f(x) translated 1 unit to the left and 7 units down to

 form g(x)

- The domains of f(x) and g(x) are all real numbers {x : x ∈ R}

- The range of f(x) is {y : y ≥ 0}

- The range of g(x) is {y : y ≥ -7}

# For f(x)

- The slope of the green line from (-∞ , 0) is negative

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# For g(x)

- The slope of the purple line from (-∞ , -1) is negative

- The slope of the purple line from (-1 , ∞) is positive

∵ The line with negative slope represent decreasing function

∴ The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

∴ The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

7 0
3 years ago
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