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2 years ago

Find x. Round your answer to the nearest hundredth

Mathematics

2 answers:

4vir4ik [10]2 years ago

8 0

Answer:

x = 5.86

Step-by-step explanation:

x / 15 = cos67°

x = 15cos67°

x = 5.86

Vladimir79 [104]2 years ago

3 0

Answer:

5.86

Step-by-step explanation:

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Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

timama [110]

<h3>Answer: c = 7/4</h3>

================================================

Work Shown:

Compute the function value at the endpoints

$f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\$

With a = -5 and b = 4, we have

$f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\$

So,

$f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\$

Use algebra to solve for c

$-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\$

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3 years ago

Please help me answer question number 5

lara31 [8.8K]

Answer:

it is the 3rd one

Step-by-step explanation:

7 0

2 years ago

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Solve for y. –5(y − 3) − 10 = –6y y =

Naya [18.7K]

Answer:

$y = - 5$

Step-by-step explanation:

$- 5(y - 3) - 10 = - 6y$

➡️ $- 5y + 15 - 10 = - 6y$

➡️ $- 5y + 5 = - 6y$

➡️ $- 5y + 6y = - 5$

➡️ $y = - 5$

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3 years ago

Find the next three terms in the sequence below: 2/3, 11/3, 20/3... Thanks!!

Debora [2.8K]

You are adding 9/3 each time

so 2/3, 11/3, 20/3, 29/3, 38/3, 47/3

hope this helps

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3 years ago

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Convert 0.2146666 into fraction in its simplest form

Lana71 [14]

Answer:

1073333/5000000

Step-by-step explanation:

To convert from decimal to fraction : take denominator as 10000000.

2146666/10000000

1073333/5000000

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2 years ago

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