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Ierofanga [76]
3 years ago
15

Which number makes the statement true

Mathematics
1 answer:
butalik [34]3 years ago
3 0
C) 3

the sqrt of 12-3 is 3 and the sqrt of 36 is 6 so 3 is your answer
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The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less t
just olya [345]

This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

x = ln(12/13) / ln(0.95)

x = 1.56 years. ( this will equal 12,000

Round to 2 years it will be less than 12000.

3 0
4 years ago
How many 3/4 foot pieces of string can be cut from a piece of string 4 1/2 feet long
Gnom [1K]
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string. 
8 0
3 years ago
8m^2+ 40m<br> -------------------<br> 8m
dsp73

Answer:

(m+5)

Step-by-step explanation:

Take out 8m as a factor from the top side of the equation. You are left with \frac{8m(m+5)}{8m}  = m+5

6 0
3 years ago
The 11 foot long bed of a dump truck loaded with debris must rise an angle of degrees before the debris will spill out. Approxim
Ymorist [56]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. The complete question is:

The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.

Solution:

Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:

sin θ = opposite / hypotenuse

Using trigonometric identities, we can get that:

sin(30) = x / 12

This gives:

0.5 = x / 12

Cross multiplying the terms to get:

x = 12 * 0.5

x = 6 ft

Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.

4 0
3 years ago
The greatest integer function, shown below, is defined to be the greatest___ less than or equal to x.
Nataly_w [17]

Answer:

Integer

Step-by-step explanation:

The greatest integer function, F(x)=[[x]], is defined to be the greatest <u>integer that is </u>less than or equal to x.

The Greatest Integer Function is also referred to as the Floor Function.

It is written as  F(x)=[[x]]

The value of ⌊x⌋ is the largest or the greatest integer that is less than or equal to x

4 0
3 years ago
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