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TiliK225 [7]
3 years ago
13

The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator trave

ls at a rate of 7.5 meters per second, approximately how long will it take to travel from the first floor to the sixty-eighth floor?
Mathematics
1 answer:
nadya68 [22]3 years ago
6 0
Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
= 44.667 seconds
Thus, an elevator will take 44.667 seconds to reach 68th floor.

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What is the inverse of f(x)=−3x+5 ?
gregori [183]

Answer:

First one

Step-by-step explanation:

y = -3x + 5

Make x the subject

3x = 5 - y

x = (5 - y)/3

Interswitch variables

(f^-1)(x) = (5 - x)/3

= 5/3 - x/3

8 0
3 years ago
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The area of a circular wave expands across a still pond such that its radius increases by 14 cm each second. Write a formula for
lara31 [8.8K]

Answer:

A = π(14t)²

Step-by-step explanation:

The radius is increasing at the rate of 14 cm per second.

We need to find the formula for the area A of the circle as the function of time t.

Initial area of the circle,

A = πr², where r is the radius of the circle

Area as a function of t will be :

A = π(14t)²

Here, 14t is the radius of the wave.

4 0
3 years ago
Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express
Roman55 [17]

Answer:

(f-g)(x)= x^2-4x-5

Step-by-step explanation:

We have the two functions:

f(x)=x^2-3x-10\text{ and } g(x)=x-5

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}

Simplify:

\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}

Therefore:

(f-g)(x)= x^2-4x-5

8 0
3 years ago
Read 2 more answers
PLEASE HELP!! will give brainliest
frutty [35]
A:
Table 1:
f(x) = 8x
X= cups so
ounces =
8* # of cups
Table 2:
f(x) =16x
X= pints so
ounces =
16*# of pints
Table 3:
f(x)= 32x
X= quarts so
ounces=
32*# of quarts
Note: another way instead of f(x)=kx is y=kx
B:
Depending on the slope we can easily find which is the steepest slope by easily comparing the slopes and seeing which is greater.
T1: 8
T2: 16
T3: 32
So, looking at our slopes, table 3 has the greatest slope because it has the greater slope out of the other two.
C:
The phrase, "rate of change" is another way to say the slope. To list again,
T1: 8
T2: 16
T3: 32
The table with the smallest slope would be table 1 since it is less than the other two tables.

I hope that helps, if you need any more assistance or you have any questions, please feel free to ask!!
6 0
3 years ago
Ok please help me!!!!!!!
docker41 [41]

Answer:

keep it a bean bro I can't even see the question

Step-by-step explanation:

7 0
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