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Maru [420]
3 years ago
8

Solve by using proper methods.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0

Answer:

Approximately after 66.15 years, there will be 100 coyotes left

Step-by-step explanation:

We can use the formula  F=P(1+r)^t to solve this.

Where

F is the future amount (F=100 coyotes)

P is the initial amount (P=750 coyotes)

r is the rate of decrease per year (which is -3% per year or -0.03)

t is the time in years (which we need to find)

Putting all the information into the formula we solve.

<u>Note:</u> The logarithm formula we  will use over here is  ln(a^b)=bln(a)

So, we have:

F=P(1+r)^t\\100=750(1-0.03)^t\\100=750(0.97)^t\\\frac{100}{750}=0.97^t\\\frac{2}{15}=0.97^t\\ln(\frac{2}{15})=ln(0.97^t)\\ln(\frac{2}{15})=tln(0.97)\\t=\frac{ln(\frac{2}{15})}{ln(0.97)}\\t=66.15

Hence, after approximately 66.15 years, there will be 100 coyotes left.

Rounding, we will have 66 years

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Mashutka [201]
Maybe the answer is B
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3 years ago
The figure shows a construction completed by hand.
Tresset [83]

Based on the construction, we can logically deduce that: A. yes; the compass was kept at the same width to create the arcs for points C and D.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In Geometry, a line segment can be measured by using the following measuring instruments:

  • A scale (ruler)
  • A divider
  • A compass

<h3>What is an arc?</h3>

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

Based on the construction with arcs created above and below the line segment from points A, we can infer and logically deduce that it is true that the compass was kept at the same width to create the arcs for points C and D.

In conclusion, yes, the construction demonstrated how to bisect a line segment correctly by hand.

Read more on arcs here: brainly.com/question/11126174

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Complete Question:

The construction has a given segment AB. Arcs have been created above and below the segment from points A that are equidistant from point A. The compass was kept at the same distance, placed on point B, and two additional arcs were created above and below the segment that intersect with the first arcs created. The intersection of the arcs above the segment created point C. The intersection of the arcs below the segment created point D. A line was drawn from point C to D through the segment.

Does the construction demonstrate how to bisect a segment correctly by hand?

A. Yes; the compass was kept at the same width to create the arcs for points C and D.

B. Yes; a straightedge was used to create segment CD.

C. No; the compass was not kept at the same width to create the arcs for points C and D.

D. No; a straightedge was used to create segment CD.

7 0
2 years ago
What is the distance from X to Y?
Rama09 [41]

Answer:

Step-by-step explanation:

To find the distance between two points, (A, B) and (C, D), you can use the following distance formula:

distance = \sqrt{(A - C)^{2} + (B - D)^{2}}

Plugging in the points from the problem, you'll get the following:

\sqrt{(0 - 9)^{2} + (6 - (-6))^{2}}

\sqrt{(-9)^{2} + (12)^{2}}

\sqrt{81 + 144}

\sqrt{225}

15

3 0
3 years ago
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The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
aksik [14]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

<h3 /><h3>Side 1:</h3>

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

<h3>Side 2:</h3>

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

<h3>Side 3:</h3>

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

<h3>Side 4:</h3>

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

<h3>Side 5:</h3>

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

<h3>Side 6:</h3>

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

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