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3 years ago

Which situation is represented by n + 12 = 25?

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

Step-by-step explanation:

The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the

rectangle, n?

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The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters

andrezito [222]

Answer:

120 words

Step-by-step explanation:

There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:

The number of 1 letter words is 3

The number of 2 letter words is 3² = 9

The number of 3 letter words is 3³ = 27

The number of 4 letter words is 3⁴ = 81

The total number of possible words is:

$3+9+27+81 = 120\ words$

This tribe's language has 120 words.

8 0

3 years ago

Write the linearization of the function at the points indicated. (Enter your answer as an equation. Let x be the independent var

Natalija [7]

Answer:

$\displaystyle y=5+\frac{x}{10}$

$\displaystyle y=10+\frac{(x-75)}{20}$

Step-by-step explanation:

Linearization

It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.

Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

$y=f(x)=f(a)+f'(a)(x-a)$

Let's find the linearization for the function

$y=\sqrt{25+x}$

at (0,5) and (75,10)

Computing f'(x)

$\displaystyle f'(x)=\frac{1}{2\sqrt{25+x}}$

At x=0:

$\displaystyle f'(0)=\frac{1}{2\sqrt{25+0}}=\frac{1}{10}$

We find f(0)

$f(0)=\sqrt{25+0}=5$

Thus the linearization is

$\displaystyle y=f(0)+f'(0)(x-0)=5+\frac{1}{10}x$

$\displaystyle y=5+\frac{x}{10}$

Now at x=75:

$\displaystyle f'(75)=\frac{1}{2\sqrt{25+75}}=\frac{1}{20}$

We find f(75)

$f(75)=\sqrt{25+75}=10$

Thus the linearization is

$\displaystyle y=f(75)+f'(75)(x-75)=10+\frac{1}{20}(x-75)$

$\displaystyle y=10+\frac{(x-75)}{20}$

5 0

3 years ago

A company charges a flat fee of $13 plus $3 per hour to rent a boat. Abigail and Monique want to rent a boat but do not want to

enot [183]

The girls can be on the boat for nine hours.

6 0

4 years ago

Amanda increased the amount of protein she eats every day from 48g to 54g. By what percentage did Amanda increase the amount of

WINSTONCH [101]

Answer:

Explanation:

The formula for calculating the percent change is:

p=N−OO⋅100

Where:

p is the percent change - what we are looking for

N is the New Value - 54g for this problem

O is the Old Value - 48g for this problem

Substituting and calculating p gives:

p=54−4848⋅100

p=648⋅100

p=60048

p=12.5

Please MARK AS BRAINLIEST 

6 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is 58 inches . find the width of the rectangle if the lengh is 20 in

Sonbull [250]

Answer:

The width of the rectangle is 9 inches.

Step-by-step explanation:

The formula of perimeter is Perimeter = 2·length + 2·width. The length is 20. If we call "x" to the width.

Perimeter = 2·(20) + 2·x ⇒ Perimeter = 40 + 2x ⇒ 58 =40 + 2x ⇒

58 -40 =2x ⇒ 18 = 2x ⇒18/2 = x ⇒ 9 = x.

The width of the rectangle is 9 inches.

3 0

4 years ago