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stiks02 [169]
3 years ago
15

Find the nonpermissible replacement for a in -3/4a

Mathematics
1 answer:
ki77a [65]3 years ago
5 0
This would be 0  because -3 / 4*0  = -3/0 is indeterminate.
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On line A, each time x increases by 1 y increases by A) .5 B) 1 C) 1.5 D) 2
Gelneren [198K]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 400 feet high. You
Mariana [72]

9514 1404 393

Answer:

  a.  h(t) = -20t +400

  b.  θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)

  c.  15 seconds; 100 ft

Step-by-step explanation:

a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...

  h(t) = -20t +400

__

b. The tangent of the angle above the line of sight is "opposite"/"adjacent":

  tan(θ) = (h(t) -100)/(150) = -2/15t +2

  θ(t) = arctan(2 -2/15t) . . . . radians

The derivative of the angle function is ...

  dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)

  dθ/dt = -30/(1125 -120t +4t^2)

__

c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)

The elevator appears to be moving fastest at t=15 seconds.

The height at that time is ...

  h(15) = 400 -20(15) = 100

The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.

5 0
3 years ago
A swimming pool has an area of 40 square meters. It’s length is 8 meters. What is the width?
kifflom [539]
5 since 40 divided by 8 is 5.
3 0
3 years ago
May someone please help me on which to graph?
olga_2 [115]

Answer:

Option (4)

Step-by-step explanation:

Proportional relationship means,

y ∝ x

y = kx

k=\frac{y}{x}

Here, k = proportionality constant

Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.

From table 1,

For a point (1, 2)

k=\frac{2}{1}=2

For another point (3, 2)

k=\frac{3}{2}=1.5

In both the cases 'k' is not same of constant.

Therefore, table (1) is not proportional.

For table (2),

Line passes through (2, 0).

That means there is a x-intercept → (2, 0)

Therefore, table doesn't represent a proportional relationship.

For table (3),

Line passes through a point (0, 1)

It means given line has a y-intercept → y = 1

Therefore, table doesn't represent a proportional relationship.

For table (4),

Line of this table passes through two points (1, 3) and (2, 6)

k=\frac{3}{1}=3

k=\frac{6}{2}=3

Therefore, proportionality constant for the given table is 3.

Now we can graph table (4).

6 0
3 years ago
PLEASE HELP Will give brainliest! Write the equation in y=mx+b form for the line on the graph. PLEASE
tatuchka [14]

Answer:

y=-1.9x-1

Step-by-step explanation:

Download pdf
8 0
4 years ago
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