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Andru [333]
3 years ago
14

A colony of 100,000 ants has been declining in number at a rate of 11.4% per month. If allowed to decline uninhibited, how long

will it take the population to decrease to 25,000 ants? Round to the nearest tenth.
a. 17.6 months
b. 12.2 months
c. 5.3 months
d. 24.3 months
Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0

Answer:

b. 12.2 months

den301095 [7]3 years ago
5 0
Im sorry i need the point but I’ll calculated later once I’m done
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2 years ago
(z^2)^n=z^10<br><br>the question asks to solve for n
g100num [7]

To solve this problem, all you have to do is set the exponents equal to each other because the bases are the same.

2n=10

<em>*Divide both sides by 2*</em>

n=5


The answer is 5.


Hope this helps!

3 0
3 years ago
In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree
Degger [83]

The formula for arc length is s=r*angle theta where s is the arc length, r is the radius, and angle theta is central angle formed by the arc in radians.

In this case, the angle would be s/r or 4.2/4  which is 1.05 radians. We have to convert this into degrees and so you would multiply 1.05 by (180/pi) which results in approximately 60 degrees. Remember, if you want to convert radians into degrees, the conversion factor is 180/pi and for degrees into radians, it is pi/180.

4 0
3 years ago
Read 2 more answers
2/3 (3x+9)=-2 (2x+6)​
rosijanka [135]

Answer: x=−3

Step-by-step explanation: Let's solve your equation step-by-step.

2

3

(3x+9)=−2(2x+6)

Step 1: Simplify both sides of the equation.

2

3

(3x+9)=−2(2x+6)

(

2

3

)(3x)+(

2

3

)(9)=(−2)(2x)+(−2)(6)(Distribute)

2x+6=−4x+−12

2x+6=−4x−12

Step 2: Add 4x to both sides.

2x+6+4x=−4x−12+4x

6x+6=−12

Step 3: Subtract 6 from both sides.

6x+6−6=−12−6

6x=−18

Step 4: Divide both sides by 6.

6x

6

=

−18

6

x=−3

5 0
3 years ago
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What is the slope of the line y = - 5/4x - 5 ?
Jobisdone [24]

Answer:

-5/4

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Slope is rise over run which means that the -5 will apply to your y values and the 4 will apply to your x values. This slope would have a point move down 5 units and to the right 4 units to get the location of the next point when going left to right. Because the slope contains a negative, the slope will be angled downward left to right. The negative only applies to the 5.

7 0
3 years ago
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