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AnnZ [28]
3 years ago
8

Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Th

e native bird population in a city is decreasing at a rate of 10% per year due to industrialization of the area by humans. The population of native birds was 14,000 before the decrease began. Complete the recursively-defined function to describe this situation. f(1) = f(n) = f(n - 1) · , for n ≥ 2 After 3 years, birds will remain.
Mathematics
2 answers:
JulsSmile [24]3 years ago
7 0

thats only 2 years three years would be 10,206

Amiraneli [1.4K]3 years ago
6 0
Given that t<span>he native bird population in a city is decreasing at a rate of 10% per year due to industrialization of the area by humans. The population of native birds was 14,000 before the decrease began.

Thus f(1) = 14,000 and

f(n) = (1 - 0.1)f(n - 1) = 0.9f(n - 1)

Thus,

f(2) = 0.9f(1) = 0.9(14,000) = 12,600
f(3) = 0.9f(2) = 0.9(12,600) = 11,340

Therefore, After 3 years, 11,340 birds will remaiin.
</span>
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3 0
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Unit Activity: Geometric Transformations and Congruence
Llana [10]
Task 1: criteria for congruent triangles

a. 
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b. </span><span>(AAA) is not a valid mean for establishing triangle congruence. In this case we know the measures of the three interior sides of the triangles. Since the measure of the angles don't affect the lengths of the sides, we can have tow triangles with 3 congruent angles and three different sides. In our example (picture 2) the three angles of triangle ABC and triangle DEF are congruent, yet the length of their sides are different.
</span>
c. <span>(SAA) is a valid means for establishing triangle congruence. In this case we know </span>the measure of a side, an adjacent angle, and the angle opposite to the side; in other words we have the measures of two angles and the measure of the non-included side, which is the AAS postulate. Remember that the AAS postulate states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent. Since SAA = AAS, we can conclude that SAA is a valid mean for establishing triangle congruence.

Task 2: geometric constructions

a. Step 1. Take a point A and point B, so AB is the radius of the circle; draw a circle at center A and radius AB.
Step 2. Draw another circle with radius AB but this time with center at B.
Step 3. Mark the two points, C and D, of intersection of both circles. 
Step 4. Use the points C and D to mark a point E in the circle with center at A.
Step 5. Join the points C, D, and E to create the equilateral triangle CDE inscribed in the circle with center at A (picture 3).

b. Step 1. take a point A and point B, so AB is the radius of the circle; draw a circle at center A and radius AB.
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Step 3. Draw a diameter from point B to point C.
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c. Step 1. take a point A and point B, so AB is the radius of the circle; draw a circle at center A and radius AB.
Step 2. Draw the diameter of the circle BC.
Step 3. Use radius AB to create another circle with center at C.
Step 4. Use radius AB to create another circle with center at B.
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Step 6. Join the points C, D, E, B, F, and G to create the inscribed regular hexagon (picture 5).





5 0
3 years ago
To rent a moving truck there is a fee of $150 and each mile you drive costs an extra $1.75 per mile, where R(x) is the total cos
abruzzese [7]

Answer:

$318

Step-by-step explanation:

First, we want to set up an equation to solve this problem by using the information given to us. We're asked for the total cost, so we want one side of the equation to be R(x)=. Then, we know that the initial cost is $150, no matter how many miles we drive. We are also told that each mile is $1.75.

R(x)=150+1.75x

The problem tells us that we are driving 96 miles, so we can plug in 96 for x and solve.

R(x)=150+1.75(96)\\R(x)=150+168\\R(x)=318

The total cost of the rental is going to $318.

Hope this helps!

8 0
2 years ago
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