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3 years ago

What is the value of 28% of 95?

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

It would be 26.6 as the answer

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Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Soloha48 [4]

Answer:

$f(216) \approx 6.0093$

Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

Linear approximated as:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

$f(x) = \sqrt[3]{x}$

Substitute 216 for x

$f(x) = \sqrt[3]{216}$

$f(x) = 6$

So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

$f(215 + 1) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

$f(x) = x^\frac{1}{3}$

Differentiate

$f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}$

Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

$f'(x) = \frac{x^\frac{1}{3}}{3x}$

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

$f'(216) = \frac{6}{648}$

$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

6 0

3 years ago

WORTH 20 POINTS IF CORRECT! Write the slope-intercept form of the equation of each line show or explain your work. 1. is (0,4) (

Nookie1986 [14]

Answer:

1. y=5/2x+4

2. y=-7x-3

Y=mx+b is slope intercept form

Step-by-step explanation:

You have to add it in the slope intercept formula

2. M=-7 and B=-3

so y=-7x-3

M = 5/2 B = 4

So y = 5/2x+4

4 0

2 years ago

If ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent

Aleks04 [339]

The second one is true

4 0

2 years ago

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What is the vertex of the parabola given by = -(x-2)^2-1?

weqwewe [10]

Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
= (2,-1)

3 0

2 years ago

I really need help with this no sum answers or else. You will get 20 points and brain list

nordsb [41]

Answer:

if their asking for % then this is the answers

1. 41% of 900 is 369

2. 24%

3. 46%

4. 23%

5. 95%

6. 23%

7. 75%

8. 22%

9. 92%

10. 45%

5 0

2 years ago

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