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3 years ago

Is the sum of 4.2 and the square root of 2 rational or irrational?

1 answer:

4 0

A rational number can be expressed as a fraction with an integer numerator and denominator. The square root of 2 is irrational, and adding 4.2 doesn't change this, since there are no integers that, when divided, form this sum.

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Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10?

max2010maxim [7]

Answer:

$log_{2}128= \frac{log_{10} 128}{log_{10} 2}$ .

Step-by-step explanation:

Given : $2^{x}$ = 128.

To find : what is the logarithmic form of the equation in base 10

Solution : We have given that $2^{x}$ = 128.

By th change base rule ( inverse of exponential function )

$a^{b}$ = c is equal to $log_{a}(c)$ = b

Then $2^{x}$ = 128 in to logarithm form $log_{2}(128)$ = x.

Then in to the base 10 logarithmic form.

By the change of base formula $log_{b}a= \frac{log_{10} a}{log_{10} b}$ .

Then , $log_{2}128= \frac{log_{10} 128}{log_{10} 2}$ .

Therefore, $log_{2}128= \frac{log_{10} 128}{log_{10} 2}$ .

5 0

3 years ago

Read 2 more answers

A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then d

Bumek [7]

Answer:

Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.

To Find :Convert this number into first arc minutes then degrees.

Solution:

60 arc seconds = 1 arc minute

1 arc seconds = $\frac{1}{60}$ arc minute

12 arc seconds = $\frac{1}{60} \times 12$ arc minute

12 arc seconds = $\frac{1}{5}$ arc minute

So, 12 arc seconds = $\frac{1}{5}$ arc minute

Now convert it into degrees

60 arc minute = 1 degree

1 arc minute = $\frac{1}{60}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{60} \times \frac{1}{5}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{300}$ degrees

12 arc seconds = $\frac{1}{300}$ degrees

8 0

2 years ago

Please tell me what this answer is

sdas [7]

Please like this I need pts

7 0

2 years ago

Between which two numbers does 46 lie?

34kurt

Answer:

So the sqrt(46) is between 6 and 7

Step-by-step explanation:

sqrt(46)

5*5 = 25

6*6=36

7*7=49

So the sqrt(46) is between 6 and 7

6 0

2 years ago

Which of the following can prove that figure ABCD is a square?

Klio2033 [76]

Answer:

Step-by-step explanation:

all sides of square is 90degrees

Since AC and BD is the same, when you join the lines together, it will definitely be a square

7 0

3 years ago