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3 years ago

The domain of: x+3 under square root

Mathematics

1 answer:

Gennadij [26K]3 years ago

3 0

Answer:

All real numbers except where x<-3

Step-by-step explanation:

Values of x that make negatives under even radicals are not part of the domain. Any value of x that is less than -3 would make a negative under the square root, so those are not included in the domain.

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The actual distance between two cities is 135 km. The map scale is 1cm: 100 km. Find the map distance.

defon

Answer:

1.35cm

Step-by-step explanation:

Given the scale of the map

1cm = 100km

For 135km;

x cm = 135 km

Divide both equations

1/x = 100/135

100x = 135

x = 135/100

x = 1.35cm

Hence the map distance will be 1.35cm

7 0

3 years ago

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p

posledela

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

$\displaystyle \frac{4}{52}=\frac{1}{13}$

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

$\displaystyle \frac{3}{51}=\frac{1}{17}$

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

$\displaystyle \frac{2}{50}=\frac{1}{25}$

Finally, the probability of getting the remaining ace out of the 49 cards is:

$\displaystyle \frac{1}{49}$

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

$\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}$

$\displaystyle P= \frac{1}{270,725}$

P=0.0000037

P=0.00037%

3 0

3 years ago

NEED HELP ASAP!! Will give BRAINLY

Varvara68 [4.7K]

Well the answer is 12-14=%58=x

8 0

3 years ago

Simplify. (WILL GIVE BRAINLIEST)

Novosadov [1.4K]

Answer:

$\frac{\sqrt{x} }{2x}$

Step-by-step explanation:

Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here. We are merely simplifying.)

$\frac{\sqrt{5x} }{x\sqrt{20} } *\frac{\sqrt{20} }{\sqrt{20} } =\frac{\sqrt{100x} }{20x}$

Now simplify by taking the square root of 100 to get:

$\frac{10\sqrt{x} }{20x}$

Divide numerator and denomiator by 10 to get:

$\frac{\sqrt{x} }{2x}$

4 0

3 years ago

Soumik has $5 less than his friend Kofi. If they have $97.50 altogether, how much does each

Basile [38]

Answer:

$190 is the answer

minus $5 from $97.50 and add that number to $97.50

5 0

3 years ago

Read 2 more answers