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shutvik [7]
3 years ago
12

A light bulb is programmed to turn on when the temperature in a terrarium is 72 F or cooler

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

Question:

Write an inequality to represent the situation.

A light bulb is programmed to turn on

when the temperature in a terrarium is

72°F or cooler.

Answer:

t ≤ 72⁰F

Step-by-step Explanation:

Given this situation, we can write an inequality to represent the temperature in a terrarium at which the light bulb is programmed to turn on as follows:

t ≤ 72⁰F

where, t is the temperature of the terrarium, the sign "≤" implies that at a temperature of 72⁰F and below (i.e. colder would mean temperature below 72⁰F), the light bulb should turn on, as programmed.

Invariably, the inequality "t ≤ 72⁰F" mean the light bulb would turn on if the temperature of the terrarium is less than or equals 72⁰F.

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Answer:

C($)= (x²/2 +11x)5.75

Step-by-step explanation:

Let's assume the height= x

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Area= x²/2 +11x

Cost per ft= $5.75

Cost for painting the triangular mural C

C($)= (x²/2 +11x)5.75

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what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)
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Answer:

y = \frac{3}{8} x + \frac{41}{8}

Step-by-step explanation:

the equation of a line in slope- intercept form is

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To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

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using (5, 7 ), then

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y = \frac{3}{8} x + \frac{41}{8} ← equation in slope-intercept form


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3 years ago
A pilot can fly 2100 miles with the wind in the same time she can fly 1890 miles against the wind. If the speed of the wind is 2
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In a particular region, for families with a combined income of $75,000 or more, 15% of these families have no children, 35% of t
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Answer:

The probability distribution for x:"number of children per family for this income group" is:

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With the information given we have the relative frequencies of each category.

We know:

\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\

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