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3 years ago

(5/10)^4 in exponential form

Mathematics

2 answers:

Whitepunk [10]3 years ago

6 0

Answer:

$6.25 \times {10}^{ - 2}$

Step-by-step explanation:

${ \bigg( \frac{5}{10} \bigg) }^{4} \\ \\ = {(0.5)}^{4} \\ \\ = 0.0625 \\ \\ = 6.25 \times {10}^{ - 2}$

emmasim [6.3K]3 years ago

3 0

Answer:

6.25 x 10-2

Step-by-step explanation:

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Zab is x years old now. What is his age 7 years from now ?

kakasveta [241]

Answer:

x + 7

Step-by-step explanation:

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3 years ago

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Mike has a collection of 16 antique tin toys, including 2 airplanes. If Mike randomly selects a toy, what is the probability it

myrzilka [38]

Answer:

C. 1/8

Step-by-step explanation:

This is because the number two goes into sixteen eight times. This is the simplest form of the fraction.

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3 years ago

Simplify 4 3 square root 64

Ierofanga [76]

Answer:

$\large\boxed{4\sqrt[3]{64}=16}$

Step-by-step explanation:

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3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

Suppose you have a set of data points with a correlation of 0.85. What is the variance? A. Variance = √ r = 0.92195 B. Variance

TiliK225 [7]

Answer:

B. Variance = r2 = 0.7225

Step-by-step explanation:

Given the correlation coefficient, variance is obtained by squaring the correlation coefficient to obtain what is also know as coefficient of determination. Gives information on the predictive power of the model

8 0

3 years ago