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True [87]
3 years ago
15

For a few months, the function f(x)=15(3)^x represented the number of bees in a new hive x months from the time it was started.

How did the number of bees change each month?
Mathematics
2 answers:
vovangra [49]3 years ago
8 0
For this case we have a function of the form:
 y = A (b) ^ x
 Where,
 A: initial amount
 b: growth rate
 x: time (in months)
 We have the following equation:
 f (x) = 15 (3) ^ x
 We observed that:
 b = 3
 Therefore, the number of bees triples each month.
 Answer:
 
b = 3
 
the number of bees triples each month.
aalyn [17]3 years ago
6 0

Answer: C= the number tripled each month.

Step-by-step explanation:

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A surveying team set up some equipment 104104 ft from the base of a tree in order to sight the top of the tree. From ground leve
jarptica [38.1K]

Answer:

Relative error = 0.0254 %

Step-by-step explanation:

Given details

Height of equipment from base is 104 ft

Elevation angle is 27.5 degree

From figure we have

tan\theta = \frac{x}{104} .........1

tan(27.5) = \frac{x}{104}

x  = 54.13 ft

differentiating 1st eq wrt x

\frac{d}{dx} tan\theta = \frac{d}{dx} [\frac{x}{104}]

sec^2\theta \frac{d\theta}{dx} = \frac{1}{104}

Taken d\theta \ as \Delta x \ and\  dx = \Delta x for minute change

\Delta x = 1.5% x

             = 0.015 \times 54.13 = 0.8119 ft

from sec^2 \theta \frac{d\theta}{dx} = \frac{1}{104}

     \Delta \theta = \frac{1}{104 sec^2 \theta} \Delta x

\Delta \theta = \frac{1}{104 \times 1.115} 0.8119

\Delta \theta  = 0.007

Reltaive error= \frac{\Delta \theta}{\theta} \times 100

                      = \frac{0.007}{27.5}\times 100

Relative error = 0.0254 %

4 0
4 years ago
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Tomtit [17]
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3 years ago
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Makovka662 [10]

Answer:

Inconsistent

Step-by-step explanation:

If a system has at least one solution, it is said to be <u>consistent</u>.

If a consistent system has exactly one solution, it is <u>independent</u>.

If a consistent system has an infinite number of solutions, it is <u>dependent</u>.

A system of equations is called an <u>inconsistent</u> system of equations if there is no solution.

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Add these two equations:

(-4x+7y)+(4x-7y)=28+32\\ \\-4x+7y+4x-7y=60\\ \\(-4x+4x)+(7y-7y)=60\\ \\0=60

This is false statement, hence, the system of two equations has no solution and is inconsistent.

4 0
3 years ago
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x^2+18x=7
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