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attashe74 [19]
3 years ago
10

The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012, there were 24,900 foxes count

ed in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.)
Mathematics
1 answer:
earnstyle [38]3 years ago
7 0
<h3>Answer:</h3>

39,687

<h3>Explanation:</h3>

Each year, the population is multiplied by (1 +6%) = 1.06. After 8 years, it will have been multiplied by that value 8 times, so is 1.06^8 times the starting value.

... 24,900 × 1.06^8 ≈ 39,687

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I get
dybincka [34]

Answer:

Absolute minimum = 1.414

Absolute maximum = 2.828

Step-by-step explanation:

g(x,y)=\sqrt {x^2+y^2} \ constraints: 1\leq x\leq 2 ,\ 1\leq y\leq2

For absolute minimum we take the minimum values of x and y.

x_{minimum} =1\\y_{minimum}=1\\

Plugging in the minimum values in the function.

g(1,1)=\sqrt {1^2+1^2}\\g(1,1) = \sqrt{1+1}\\g(1,1)=\sqrt {2}\\g(1,1)=\pm 1.414\\

Absolute minimum value will be always positive.

∴ Absolute minimum = 1.414

For absolute maximum we take the maximum values of x and y.

x_{maximum} =2\\y_{maximum}=2\\

Plugging in the maximum values in the function.

g(2,2)=\sqrt {2^2+2^2}\\g(2,2) = \sqrt{4+4}\\g(2,2)=\sqrt {8}\\g(2,2)=\pm 2.828\\

Absolute maximum value will be always positive.

∴ Absolute maximum = 2.828

3 0
3 years ago
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
tankabanditka [31]

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

7 0
3 years ago
4. What is the value of b in the triangle shown below? (1 point)
Romashka-Z-Leto [24]
You need to give some form of an image for us to be able to give you the answer. There’s no way of solving the equation you’ve given us without the key information from the image....
5 0
3 years ago
Someone answer this please
lions [1.4K]

Answer:

1,334.5 \:  {cm}^{3}

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

V_{cylinder}  = \pi {r}^{2} h \\  \\  = 3.14 \times  {(5)}^{2}  \times 17 \\  \\  = 3.14 \times 25 \times 17 \\  \\V_{cylinder}  = 1,334.5 \:  {cm}^{3}

7 0
3 years ago
Match the base to the corresponding height.<br> Base (b)<br> Height (h)<br> b<br> b<br> h<br> b
antiseptic1488 [7]

Answer: See the diagram below

=================================================

Explanation:

The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).

In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).

In column 2, refer to the figures as A, B, C

Figure 1 matches with figure B

Figure 2 matches with figure C

Figure 3 matches with figure A.

These matches are of course the base with the proper height.

8 0
3 years ago
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