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3 years ago

Evaluate 25^3/2 ......

Mathematics

2 answers:

Gnesinka [82]3 years ago

4 0

Answer:

125.........................

Paladinen [302]3 years ago

3 0

Answer:

125

Step-by-step explanation:

Rewrite:

25^1.5=125

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Simplify the expression. Rewrite using only positive exponents.

Afina-wow [57]

Answer:

The answer is D

Step-by-step explanation:

$((c^6d^5e^4)*(c^-3de^-2))^2\\$

Reorder the terms

$= ((e^4c^6d^5)*(e^-2c^-3d))^2\\$

Calculate

$= (e^4c^6d^5e^-2c^-3d)^2$

Use the properties of exponents

$= (e^2c^3d^6)^2$

Therefore, the answer is c^6 d^12 e^4 or D

8 0

1 year ago

5. Solve the following triangle for all missing sides and angles.

Ipatiy [6.2K]

Answer:

Part I : 100°

Part II : a = 29.2

Part III : b = 20.95

Step-by-step explanation:

See the attached diagram of the triangle.

Part I: ∠ A = 180° - ∠ B - ∠ C = 180° - 45° - 35° = 100°

Part II: Now, applying the law of sines, we have

$\frac{AB}{\sin 35^\circ} = \frac{BC}{\sin 100^\circ}$

⇒ $\frac{17}{\sin 35^\circ} = \frac{a}{\sin 100^\circ}$

⇒ $a = \frac{17}{\sin 35^\circ} \times \sin 100^\circ$

⇒ a = 29.2 (Answer)

Part III: Now, applying law of cosine, we have

b = a cos 35° + c cos 100° = 29.2 cos 35° + 17 cos 100° = 20.95 (Answer)

4 0

3 years ago

Read 2 more answers

Which of the following best defines 3 to the power of 2 over 3?

Anika [276]

Answer:

Option B is correct that is cube root of 9.

Step-by-step explanation:

We have been given the expression:

$3^{\frac{2}{3}}$ after solving square power

It can be rewritten as $9^{\frac{1}{3}}$

Which is the cube root of 9

Hence, Option B is correct That is cube root of 9

Option A is discarded because square gets solve then only we get 9

Option C and D are discarded because square will be solve we will get 9.

7 0

3 years ago

Read 2 more answers

The actual weight of the instrument is 58kg and it’s measured weight is 54kg.Find the percent error in weight. A.)6.9% B.)7% C.)

Rasek [7]

Answer:

A.) 6.9%

Step-by-step explanation:

1. Percent Error = (|lab-value- actual value|/actual value) * 100

(|54 kg - 58 kg|/58 kg) * 100

(0.069) * 100 (We multiply by 100 to convert decimal to percent)

Percent Error = 6.9%

5 0

4 years ago

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

Misha Larkins [42]

Answer:

Let X the random variable that represent the pulse rates of a population, and for this case we know the distribution for X is given by:

$X \sim N(77.5,11.6)$

Where $\mu=77.5$ and $\sigma=11.6$

For this case the z score given by:

$z=\frac{x-\mu}{\sigma}$

And for this case the z score is without units, so the correct answer would be:

The z scores are numbers without units of measurement.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the pulse rates of a population, and for this case we know the distribution for X is given by:

$X \sim N(77.5,11.6)$

Where $\mu=77.5$ and $\sigma=11.6$

For this case the z score given by:

$z=\frac{x-\mu}{\sigma}$

And for this case the z score is without units, so the correct answer would be:

The z scores are numbers without units of measurement.

6 0

3 years ago