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3 years ago

Solve 200m-125m+48,250=51,250-175m

Mathematics

1 answer:

earnstyle [38]3 years ago

3 0

Answer:

The answer is m=12

Step-by-step explanation:

1.) combine like terms on both sides of the equation.

2.) After all like terms are combined, divide 250 from both sides.

3.) m=12

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Complete the square to rewrite y = x^2 + 6x + 3 in vertex form. Then state whether the vertex is a maximum or a minimum and give

bixtya [17]

Answer:

Let's complete the square first.

y = x² + 6x + 3

= (x² + 6x + 9) - 6

= (x + 3)² - 6

Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.

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2 years ago

Read 2 more answers

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:

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

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

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

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

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3 years ago

Determine whether the underlined value is a parameter or a statistic. In a national survey on substance abuse comma Modifying 66

Iteru [2.4K]

Answer:

Parameter

Step-by-step explanation:

Parameter and statistic:

Parameter is a numerical value that describes a population.
A sample is a part of the population and always smaller than the population.
The statistic is a numerical value that describes a sample.

Population of interest:

College students aged 18 to 22

Parameter:

66.4% reported using alcohol within the past month

Thus, the given is a parameter as it describes a population proportion.

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3 years ago

If an intravenous fluid is adjusted to deliver 15 mg of medication to a patient per hour, how many milligrams of medication are

adelina 88 [10]

Answer: 0.125 mg per half minute

Step-by-step explanation:

15mg per hour can be written as 15mg/h

To find out how many mg of medication are delivered per half minute you can convert from hour to minutes

There are 60 minutes in 1 hour, so you can use the conversion factor (1h/60 min) and multiply the expression by it

15 mg/h (1h/60min) = 0.25 mg/min

But the question is per half minute so you have to multiply and divide the previous expression by 0.5 (To obtain 0.5 min in the denominator, which is half minute)

Then,

(0.25 mg/min ) (0.5/0.5) = 0.125 mg/ 0.5 min (0.125 mg per half minute)

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3 years ago

PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!

Verizon [17]

Answer:

Yes

Step-by-step explanation:

7 0

2 years ago

Solve 200m-125m+48,250=51,250-175m​

Solve 200m-125m+48,250=51,250-175m