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Ann [662]
2 years ago
6

The length of a rectangle is three feet less than twice its width. Ifx represents the width of the rectangle, in

Mathematics
1 answer:
Dahasolnce [82]2 years ago
3 0

x(2x - 3) > 30

hope it helps...!!!

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The annual birth rate for a population of a given country is represented by the function y= 918397(0.9763)^t where “t” represent
viktelen [127]

Answer:

<em>The initial number of annual births in 2018 is 918,397</em>

<em>The percent decrease in birth rates is 2.37%</em>

<em>The expected number of births in 2021 is 834,379</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

We are given the function that models the annual birth rate for a population of a given country:

y= 918,397(0.9763)^t

Where t represents the number of years since 2018.

a.) We can identify the variables with the actual model by comparing with the general equation, thus: Co=918,397 and 1-r=0.9763.

Solving for r we have r=1-0.9763=0.0237.

This means the initial number of annual births in 2018 (t=0) is 918,397

b.) The percent decrease in birth rates is r=0.0237 = 2.37%

c.) To find the expected number of births in 2021 (t=4 years), we substitute the value of t in the equation of the model:

y= 918,397(0.9763)^4

Calculating:

y = 834,379

The expected number of births in 2021 is 834,379

5 0
3 years ago
Today, a factory inspector found flaws in 2 out of 16 wooden boxes. If the inspector checks 24 boxes tomorrow, predict how many
Semmy [17]

Answer:

3 boxes

Step-by-step explanation:

2 out of 16 boxes are flawed. So the unit rate is

\frac{2}{16}=\frac{1}{8}

Now, to find number of flawed boxes is 24 checkings, we need to multiply the unit rate (1/8) by 24. So:

\frac{1}{8}*24=3

The answer is 3

5 0
3 years ago
Read 2 more answers
Like the land bridge people, what factors might have pulled the Solutreans into North America?
Illusion [34]

Answer:

mayne because of grasses and animals

4 0
3 years ago
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Angle A and Angle B are complementary. If angle A is 48°, what is the measure of angle B?
Georgia [21]

Answer: 42

Step-by-step explanation:

Complementary means they add up to 90 degrees

so 90-48=42

5 0
3 years ago
Read 2 more answers
In this diagram WQ = AC. One way to prove this is true is to draw a line through B such that BDAC. Then prove triangle ABC is co
Goshia [24]

 

<span>We can see that line BD and line AC are two parallel lines which also intersects with other two parallel lines, line BA and line DC. Since the two sets of parallel lines intersect, then the length of BD = AC and BA = DC. And by virtue of parallel lines intersecting, then angle BAC and angle BDC are called corresponding angles. Corresponding angles are angles which have equal measurement.  To summarize the similarities:</span>

<span>BA = DC                                                 (Equal sides)</span>

<span>BD = AC                                                 (Equal sides)</span>

<span>angle BAC = angle BDC                     (Equal included angle)</span>

<span>Therefore by using the Side – Angle – Side Postulate, we can say that triangle ABC and triangle DCB are congruent triangles.</span>

8 0
3 years ago
Read 2 more answers
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