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madam [21]
3 years ago
12

A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. Th

is takes place at a rate of 250°F per quarter hour. Write an equation that gives the furnace temperature, T, after, q, quarter hours.
Mathematics
1 answer:
grin007 [14]3 years ago
4 0

Answer:

T = 2300 + 250q

Step-by-step explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q

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Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

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the width, length, and height of a rectangular prism are each increased by $10\%$. what is the percent increase in the volume of
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The volume of the rectangular prism will increase by 33% if the width, length, and height are each increased by 10%.

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The formula for the volume of a rectangular prism is:

V = l x w x h

where

“l” is the base length

“w” is the base width

“h” is the height of the prism

If the width, length, and height are each increased by 10%, the equation will now become:

V_{2}= 1.10 l * 1.10 w*1.10h

V_{2}= 1.331* l*w*h            V = l*w*h

V_{2}= 1.331* V

Hence, if the width, length, and height are each increased by 10%, the volume of the rectangular prism will increase by 33%.

To learn more about the volume of a rectangular prism: brainly.com/question/24284033

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