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Allushta [10]
3 years ago
8

When Naina got on the airplane in New York City, the temperature was 33°F. The airplane landed in Houston, where the temperature

was 85°F. Which integer represents the increase in temperature from New York to Houston?
Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0
The temperature grew from 33 Fahrenheit to 85 Fahrenheit. I used subtraction to find an answer, 55 Fahrenheit from New York to Houston.
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Select the correct answer from each drop-down menu. Complete the statements about these similar pyramids. Two square pyramids A
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The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.

<h3>What is ratio?</h3>

Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.

The ratio of the heights of these pyramids is given by:

Ratio = Height of pyramid A : Height of pyramid B

Ratio = (3V/lw) : (V/lw)

Ratio = 3 : 1.

The ratio of the base areas of these pyramids is given by:

Ratio = Base area of pyramid A : Base area of pyramid B

Ratio = (3a)² : a²

Ratio = 9a : a

Ratio = 9 : 1.

The ratio of the volumes of these pyramids is given by:

Ratio = Volume of pyramid A : Volume of pyramid B

Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3

Ratio = 27 : 1.

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Which of the following correctly describes the domain of the function shown
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Option D:

\{x: x \neq 1\} is the domain of the function.

Solution:

Given function is

$r(x)=\frac{2 x}{x-1}

<u>To find the domain of the function:</u>

Option A: \{x: x \neq 0\}

Substitute x = 0 in r(x).

$r(0)=\frac{2 \times 0}{0-1}=0

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, \{x: x \neq 0\} is not the domain of the function.

Option B: \{x: x \neq \pm 1\}

Substitute x = –1 in r(x).

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If x = –1, then r(–1) = 1

So that x = ± 1 is false.

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Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}

It is indeterminate.

So, all real numbers are not the domain of the function.

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Substitute x = 1 in r(x).

$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}

It is indeterminate.

So, \{x: x \neq 1\} is the domain of the function.

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