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Kipish [7]
4 years ago
8

The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time

(x) at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. What is the equation that models the situation where x is the number of hours Jesse spends at the Robot Factory?
Mathematics
1 answer:
ipn [44]4 years ago
5 0
The answer is 2 and a half. Because 18 + 6 + 6 + 3 is 33. This is because $18 to get in then $6 for one hour another $6 for an hour and $3 for an half hour.
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The function f(x) = 0.4x² – 36x +1000, models the number of accidents, f(x), per 50 million
eimsori [14]

Answer:

f(50) = 200

There are 200 accidents per 50 million miles for 50 year old drivers

Step-by-step explanation:

Given

f(x) = 0.4x^2 - 36x + 1000

Required

Determine f(50)

To do this, substitute 50 for x

f(x) = 0.4x^2 - 36x + 1000

f(50) = 0.4 * 50^2 - 36 * 50 + 1000

f(50) = 0.4 * 2500 - 1800 + 1000

f(50) = 1000 - 1800 + 1000

f(50) = 200

Interpretation: There are 200 accidents per 50 million miles for 50 year old drivers

3 0
3 years ago
A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.
frutty [35]

Answer:

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

58^{\circ}20'=58^{\circ}\frac{20}{60}^{\circ}=58\frac{1}{3}^{\circ}=\frac{175}{3}^{\circ}

In a right angled triangle

\cos \theta=\frac{adjacent}{hypotenuse}

\cos (\frac{175}{3}^{\circ})=\frac{40}{hypotenuse}

0.525=\frac{40}{hypotenuse}

hypotenuse=\frac{40}{0.525}

hypotenuse=76.190

Therefore the length of the wire is 76.19 m.

3 0
3 years ago
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