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2 years ago

A model of ------- behavior, Cunningham never ate or

Mathematics

1 answer:

Eduardwww [97]2 years ago

3 0

A model of <u>temperate</u> behavior, Cunningham never ate or drank to excess.

The correct option A.

<h3>Explanation:</h3>

"Temperate" in this context refers to moderation in the indulgence of appetite. If one were to insert this term into the text, the sentence would read "A model of temperate behavior, Cunningham never ate or drank to excess." The comma indicates that the second half of the sentence will illustrate Cunningham's behavior. Someone who never consumes too much does indeed exhibit "temperate behavior."

<h3>What is temperate behavior?</h3>

Temperate denotes gentle or moderate. Temperate people are calm and reasonable. It's warm and sunny, but not too hot if you live in a temperate climate. Temperate, like other terms with similar sounds, has to do with measurement and range.

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Identify the parent function for the function g(x) = x + 4 based on its function rule. Then graph g and identify the transformat

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The graph of the function is linear and translation down 4 units. Thus option A is a correct option.

According to the statement

We have to find that the transformation of the parent function that it represents.

So, For this purpose, we know that the

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

From the given information:

The given function is a g(x) = x + 4.

From this it is clear that the the function is a linear and the there is a some addition of the number to make graph linear.

then we can say that the The graph is linear and translation down 4 units.

So, The graph of the function is linear and translation down 4 units. Thus option A is a correct option.

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1 year ago

If one pie is shared equally by 6 people, then each person will get<br> what fraction of the pie?

amid [387]

Answer: Each person will take $\dfrac{1}{6}$ of the pie.

Step-by-step explanation:

Given : One pie is shared equally by 6 people.

The total number of persons = 6

Now, the fraction of the whole pie each person will take :-

$\dfrac{\text{Number of pie}}{\text{total persons}}\\\\=\dfrac{1}{6}$

Therefore, the fraction of the whole pie each person will take= $\dfrac{1}{6}$

3 0

3 years ago

The volumes of two similar solids are 729 inches3 and 125 inches3. If the surface area of the smaller solid is 74. 32 inches2, w

Lelu [443]

The surface area of the larger solid, rounded to the nearest hundredth is given by: Option B: $240.80\: \rm inch^2$

<h3>How can we interpret volume of a solid?</h3>

Volume of a solid is usually expressed in cubic units, or units cube.

Suppose that the volume was expressed in x cubic units. Then you can say that the considered solid takes same space as the volume occupied by x cubes of 1 unit as their side lengths.

<h3>What are similar objects?</h3>

They're like zoomed version of each other(might be non-zoomed, zoomed in, or zoomed out). Their sides can be obtained by multiplying one object's sides by a single constant(by single constant, we mean constant which will be same for obtaining any corresponding side).

For the given case, we're given that:

Volume of first solid = 729 cubic inches.
Volume of second solid = 125 cubic inches.

Both solids are similar.

Thus, let the scale factor by which their sides change be 'f'.

Then, we get:

Side of first solid = f × side of second solid

Surface area of first solid(a square piece chosen on its surface) = f × f × surface area of second solid

(as two times sides multiplied, so two times f got multiplied).

Similarly,

volume of first solid = f × f × f × volume of second solid.

$729 = f^3 \times 125\\f = \: ^3\sqrt{\dfrac{729}{125}} = \dfrac{9}{5} = 1.8$

As surface area of smaller solid(second solid is smaller as its volume is less) is 74.32 sq. inches, and f = 1.8, thus, we get:

$S_{\text{larger solid}} = f^2 \times S_{\text{smaller solid}} = (1.8)^2 \times 74.32\\S_{\text{larger solid}} = 240.7968 \approx 240.80 \: \rm inch^3$