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1 year ago

Round 14,445 to the nearest hundred

Mathematics

1 answer:

Bumek [7]1 year ago

7 0

Answer:

the answer is 14,400

Step-by-step explanation:

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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

222222222222-22111111111111111

stealth61 [152]

222222222222-22111111111111111
= - 2.2111 × 10^16

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2 years ago

Show how to write, evaluate and simply an expression to represent and solve this problem: Jeff and his friend each text four cla

VLD [36.1K]

Answer:

Step-by-step explanation:

It is given that Jeff and his friend each text four classmates about an concert that is two people texts four classmates then 2×4=8 people are notified about the concert, then according to question, each 8 of them texts 4 more students from a different school about the concert, so the total number of people from the other school which are being notified about the concert will be 8×4=32.

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2 years ago

Sam drove 715 miles in 11 hours. At the same rate, how many miles would he drive in 9 hours?

KATRIN_1 [288]

Answer:

585 miles

Step-by-step explanation:

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2 years ago

Given f(x)=x^2+12x+26.

MA_775_DIABLO [31]

Answer:

f(x) = (x+6)² - 10

Step-by-step explanation:

To write the equation in vertex form we, we need to use completing square method.

f(x) = x²+ 12x + 26 = (x² + 2*x*6 + 6²) - 6² + 26 = (x+6)² -36 + 26 =

= (x+6)² - 10

f(x) = (x+6)² - 10

7 0

2 years ago