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3 years ago

The decimal 0.3 repeat represents 1/3. What the of number best describes 0.9 repeat, which is 3x0.3 repeat? Explain

1 answer:

3 0

0.9 repeat is not 1. 0.999, nor .9999999999 are not equal to 1. If the expansion of 9’s is stopped at any finite point, the resulting fraction (for example, 0.9999 = 9,999/10,000) will never be equal to 1. Each time a 9 is added, the error decreases, but will not take the number to 1. With each 9 added, the error becomes ten times smaller. The is no number that the sequence of 9’s gets arbitrarily close to. The error would look like 1/infinity, however, it is more precise to say that the limit of the sequence is zero.

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Dr.sox paid $1580 for a new computer system. She also paid 6.5% sales tax. How much was total cost?

Andru [333]

Answer:

$1,682.70

Step-by-step explanation:

Convert the percent into a decimal by multiplying by 0.01: the percent in this problem is 6.5%, so when you multiply by 0.01, you get 0.065
Multiply the price by your new decimal: in this case, that would mean to multiply 1580 by 0.065, which gives you 102.7. <u>Keep in mind that this is just the tax, not your final answer.</u>
Add the tax you just calculated to the original price: add 102.7 to 1580 to get 1,682.7. That is your final answer.

4 0

3 years ago

Combining like terms. Solve for b.<br><br>15b + 10b = 50

Scorpion4ik [409]

Answer:

b=2

Step-by-step explanation:

15b+10b=50

25b=50

b=2

7 0

2 years ago

Read 2 more answers

Which is the value of this expression when a= -2 and b= -3?

madam [21]

Answer:

d: 729/64

Step-by-step explanation:

Plug-in the variables

5 0

2 years ago

Suppose the population of a certain city is 5831 thousand. It is expected to decrease to 5204 thousand in 50 years. Find the per

SVEN [57.7K]

Answer:

The percent decrease is approximately $10.75\%$

(Don't know what you are expected to round to.)

Step-by-step explanation:

Percent change can be calculated by doing:

$\frac{\text{original}-\text{new}}{\text{original}}$

Then you multiply the result to covert it to a percentage.

Let's use this formula:

$\frac{5831 \text{thousand}-5204 \text{ thousand }}{5831 \text{thousand}}$

$\frac{\text{thousand}}{\text{thousand}} \cdot \frac{5831-5204}{5831}$

$\frac{5831-5204}{5831}$

$\frac{627}{5831}$

$0.1075$ approximately

Now the answer as a percent is $10.75\%$ approximately.

The percent decrease is approximately $10.75\%$

3 0

3 years ago

Three listening stations located at (3300, 0), (3300, 1100), and (-3300, 0) monitor an explosion. The last two stations detect t

erastovalidia [21]

Answer:

The coordinates of the explosion is (3300, -2750)

Step-by-step explanation:

I have plot the points and attached to thus answer for easy understanding.

Now, from the question, since station A is the first to hear the explosion, we'll make it the foci of the parabola in the graph I attached and it will be horizontal since the distance between station C and A is much more than that between station B and A. Thus, the reason why station C will have to be the other foci with the hyperbola centred at the origin.

Now, sound travels at a speed of 1100 ft/s and station B is located 1100 ft from station A. Thus, the explosion would likely have occurred at a point on the line x = 3300ft . Since station A is 3300ft from centre C = 3300,hence C² = 3300² = 10,890,000. Since it takes 4 seconds longer for the sound to reach station C than A, the sound has traveled 4(1100)= 4400 ft.

Thus, 4400 = d1 = d2 = 2a

So,2a = 4400 and so, a =2200

a² = 2200² = 4,840,000 where d1 is the distance from station C to the explosion and d2 is the distance from station A to the explosion. To find b², let's use the equation ;

c² = a² + b² and so; b² = c² - a² = 10,890,000 - 4,840,000 = 6,050,000

Equation of hyperbola is given as;

(x²/a²) - (y²/b²) = 1

Plugging in the values of a² and b², we obtain ;

(x²/4,840,000) - (y²/6,050,000) = 1

Since we have deduced that the explosion must occur on the line x= 3300, we'll put in 3300 for x to obtain ;

(3300²/4,840,000) - (y²/6,050,000) = 1

2.25 - 1 = (y²/6,050,000)

y² = (1.25 x 6,050,000)

y² = 7562500

y = √7562500

y = ± 2750

Due to the fact that the explosion will occur at a point further from station B than from station A, the explosion will take place in quadrant 4. Thus, we will take the negative value of y which is - 2750.

So explosion will occur at the coordinate (3300, -2750)

7 0

3 years ago