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vampirchik [111]
2 years ago
6

The population of a particular town increased from 12,800 to 14,200 over a ten-year period. what percent increase does this repr

esent over the old population?
Mathematics
1 answer:
musickatia [10]2 years ago
8 0

Answer:

10.94% to the nearest hundredth.

Step-by-step explanation:

That would be (14200 - 12,800) * 100 / 12800

= 10.94%

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In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achi
lubasha [3.4K]

Answer:

Shift 2 unit left

Flip the graph about y-axis

Stretch horizontally by factor 2

Shift vertically up by 2 units

Step-by-step explanation:

Given:

Parent function: f(x)=\log x

Transformation function: f(x)=\log(-2x-4)+2

Take -2 common from transform function f(x)

f(x)=\log[-2(x+2)]+2

Now we see the step-by-step translation

f(x)=\log x

Shift 2 unit left ( x → x+2 )

f(x)=\log(x+2)

Flip the graph about y-axis ( (x+2)  → - (x+2) )

f(x)=\log[-(x+2)]

Stretch horizontally by factor 2 [ -x(x+2) → -2(x+2) ]

f(x)=\log[-2(x+2)]

Shift vertically up by 2 units [ f(x) → f(x) + 2 ]

f(x)=\log[-2(x+2)]+2

Simplify the function:

f(x)=\log(-2x-4)+2

Hence, Using four step of transformation to get new function f(x)=\log(-2x-4)+2

3 0
2 years ago
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You and your team are planning a space mission. You want to visit each planet listed in the chart in the most efficient way poss
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You would go to Neptune, Uranus, Saturn, Jupiter, Mars, Earth (to refuel), Mercury, Venus
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julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m o
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The answer is 8 m by 16 m. I just answered this on my quiz.
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1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown bel
KiRa [710]

Answer:

a). AB = 8 in

b). AB = 9.75 in

c). AC = 6.5 in

d). BC = 1.5 in

Step-by-step explanation:

a). Since, AB = AC + CB

   Length of AC = 5 in. and CB = 3 in.

   Therefore, AB = 5 + 3 = 8 in.

b). Given : AC = 6.25 in and CB = 3.5 in

   Therefore, AB = AC + CB = 6.25 + 3.5

   AB = 9.75 in.

c). Given: AB = 10.2 in. and BC = 3.7 in.

    AB = AC + BC

    AC = AB - BC

    AC = 10.2 - 3.7

    AC = 6.5 in

d). Given: AB = 4.75 in and AC = 3.25 in.

   BC = AB - AC

   BC = 4.75 - 3.25 = 1.5 in.

4 0
2 years ago
A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle
natali 33 [55]

Answer:

10.99 feet

Step-by-step explanation:

The arc length when an angle of 360° is made is the perimeter of the circle.

Perimeter = π*Diameter = π*30 = 94.25 ft

To know the arc length when an angle of 42° is made, we need to use the following proportion

94.25 ft / x ft = 360° / 42°

x = 42/360*94.25

x = 10.99 ft

7 0
2 years ago
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