Determine whether each expression is meaningful as a real number yes or no? -√9

Answers

Answer 1

Answer: $Yes\ -\sqrt9\ is\ real\ number\n\n-\sqrt9=-3\ is\ integer\ number\n\n-√(a)\in\mathbb{R}\ for\ any\ a\geq0$

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What is the simplified form of the following expression? 6c^2 + 2.5d - d + 2c^2 - 3d

Answers

Answer:

The simplest form would be:

8c² - 1.5d

Explanation:

To simplify an expression, we need to gather the like terms.

Like terms are the ones having the same variable raised to the same power

In the given expression:

6c² + 2.5d - d + 2c² - 3d

We have terms having c² and terms having d.

Therefore, we would gather them as follows:

6c² + 2.5d - d + 2c² - 3d

(6+2)c² + (2.5-1-3)d

8c² - 1.5d ......................> This is the simplest form

Hope this helps :)

for this you have to combine like terms, so the answer is:
8c^2-1.5d

You are wanting to simulate tossing a coin 20 times to determine the probability of getting tails. Starting with the first row, you use the list of random numbers shown to do so, letting 0-4 represent heads and 5-9 represent tails. What is the probability the coin lands on tails?

Answers

When you flip a fair coin, there is always a 50% chance of heads, and a 50% chance of tails. Not sure the rest of info is relevant here

Final answer:

Simulated coin tossing uses random numbers, where 0-4 and 5-9 represent heads and tails respectively. The theoretical probability of getting tails is 0.5, but empirical probabilities can differ. This discrepancy, assumed to reduce with more trials, is accounted for by the Law of Large Numbers.

Explanation:

In the context of the provided problem, you are attempting to simulate tossing a coin 20 times using a system of random numbers, where you've assigned 0-4 to represent heads and 5-9 to represent tails. Theoretically, in a fair coin toss, there's a 50% chance (0.5 probability) of getting either heads or tails.

However, experimental or empirical probability may not always align with this theoretical likelihood, especially in smaller samples. This discrepancy is due to randomness and doesn't necessarily imply the coin or system is biased. Over many trials, the relative frequency of getting tails should approach the theoretical probability, according to the law of large numbers.

To calculate the empirical probability of getting tails in your simulation, you would tally up the total number of 'tails' results (numbers 5-9) from your 20 trials, then divide that count by the total number of trials (20). So, if you get 12 'tails' results, your empirical probability would be 12/20 = 0.6.

Learn more about probability here:

brainly.com/question/32117953

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Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

Answers

Answer: $80

Step-by-step explanation:

Given: The simple interest generated after 5 years = $20

The rate of interest =5%

In decimal, the rate of interest (r)= 0.05

Let P be the principal amount, which Tahmar invested.

The given formula to find simple interest is

$I=Prt\n\n\Rightarrow P=(I)/(rt)\n\n\text{On substituting the given values, we have}\n\n\Rightarrow P=(20)/(0.05*5)\n\n\Rightarrow P=80$

Hence, the principal amount which he invested = $80

The answer is $80 for this question.

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Answers

The correct answers are:
1) sin(x) = $( √(3) )/(2)$
2) tan(x) = $√(3)$

Explanation:
Given:
$cos(x) = (1)/(2)$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( (1)/(2) )^2 = 1 \n sin^2(x) + (1)/(4) = 1 \n sin^2(x) = (3)/(4)$

Step 3:
Take square-root on both sides:
$√(sin^2(x)) = \sqrt{(3)/(4)}$

sin(x) = $( √(3) )/(2)$

Now to find the tan(x), we would use the following formula:

tan(x) = $(sin(x))/(cos(x))$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $( ( √(3) )/(2) )/( (1)/(2) )$

Hence tan(x) = $√(3)$

Answer:

The value of $\sin x=(√(3))/(2)$

The value of $\tan x=√(3)$

Step-by-step explanation:

Given = $\cos x=(1)/(2)$

To find : $\sin x=?$ and $\tan x=?$

Solution:

We know that, if the cosine function of an angle is $(1)/(2)$ then the angle is equal to the 60°.

$\cos x=(1)/(2)$

x = 60°

The value of the :

$\sin x=\sin 60^o=(√(3))/(2)$

We know that ratio of sine function to the cosine function is equal tto the tangent

$\tan x=(\sin x)/(\cos x)=((√(3))/(2))/((1)/(2))=√(3)$

The value of $\sin x=(√(3))/(2)$

The value of $\tan x=√(3)$

Of the 8760 hours in a year, one television was on for 2190 hours. What percent is this?

Answers

IS 25%, YOU FIND OUT BY DIVIDING 8760/100=87.60 WHICH REPRESENTS 1 PERCENT AND THEN 2160/87.60=25%
ALSO, IF YOU DIVIDE 8760/2190=4, SO THIS REPRESENTS 25%
HOPE IS CLEAR

A rectangular piece of land with an area of 260000 m to the power of 2 is 2000 m long write the area and length in scientific notation and then find the width

Answers

Answer:

130 meters.

Step-by-step explanation:

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