0.368 written in expanded form

A cost regularly priced at $188 is on sale for 25% off . What is the sale price ?

Brums [2.3K]

You need to multiply 188 by 25%. But first convert 25% to a decimal 0.25.
188*0.25 is 47
Now we subtract 188 - 47
Which is 141
$141 is the sales price.

5 0

3 years ago

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Simplify the trigonometric expression.

Natasha_Volkova [10]

First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
$(1+sin \alpha )(1-sin \alpha )=1-sin^2 \alpha$

Now we can rewrite our expression using the common denominator:
$\frac{1-sin \alpha }{1-sin^2 \alpha } + \frac{1+sin \alpha }{1-sin^2 \alpha} = \frac{2}{1-sin^2 \alpha}$

Finally, we can use the trig identities: $1-sin^2 \alpha =cos^2 \alpha$ and $sec \alpha = \frac{1}{cos \alpha }$ to simplify our trig expression:
$\frac{2}{cos^2\alpha}=2sec^2 \alpha$

We can conclude that the correct answer is the fourth one.

5 0

3 years ago

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Ramp 10 feet high and 32 long

madam [21]

A. IMA = 32/10 = 3.2

8 0

3 years ago

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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

The satisfied table of the given function $y = log_{b} (x)$

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

i)

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

y = -3

ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

put x = 1 given b > 1 so we can choose b = 2

$y = log_{2} (1 )$ = 0

y = 0

v)

put x = $2$ given b > 1 so we can choose b = 2

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

8 0

3 years ago

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You used p minutes one month on your cell phone. The next month you used 75 fewer minutes. Simplify the expression.

Anestetic [448]

Hi there!

Let's assume that one month is represented by the variable 'm', the amount of minutes you started with is 's', and minutes you spent is 'p'.

So, one month can be represented as 'm=s-p'.

The next month is a bit more tricky. This will incorporate 75 less minutes into the equation. 'm=s-75' can be used to represent this, as we assume that you didn't use any minutes in the first month, and that p=75 in this case.

If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one, as well as to move up in rank! :)

5 0

3 years ago