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Nostrana [21]
3 years ago
15

Please help 1. f(x)=3(2)^x 2. f(x)=2(3)^x 3. f(x)=3(1/2)^x 4. f(x)=2(1/3)^x

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

C. f(x)=3(1/2)^x

Step-by-step explanation:

standard form of a function is f(x)=ab^x

a should be 3, or the y value where the x value is 0

the b value is 1/2 because that's the rate of change

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Find the area of the irregular figure. Round to the nearest hundredth.
RSB [31]

Answer:

67.5\text{ [square units]}

Step-by-step explanation:

The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.

<u>Formulas</u>:

  • Area of rectangle with base b and height h: A=bh
  • Area of triangle with base b and height h: A=\frac{1}{2}bh

By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is A=10\cdot 5=50.

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is A=\frac{1}{2}\cdot 2\cdot 5=5.

Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is A=\frac{1}{2}\cdot 5\cdot 5=12.5.

Thus, the area of the total irregular figure is:

50+5+12.5=\boxed{67.5\text{ [square units]}}

7 0
3 years ago
A circle has a circumference of 125.6 centimeters. what is the diameter of the circle to the nearest centimeter?what is the radi
natali 33 [55]
You divide 125.6 by 3.14 which = 68.66
That's the diameter. so the nearest cm is 69cm
The radius is half of the diameter so to the nearest cm it is 34cm
5 0
3 years ago
Does anyone know this ? Thank you
alina1380 [7]

Answer:

36

Step-by-step explanation:

angle ACB = 180-130=50 degree

angle ABC = 180 - (94+50)

                  = 180-144

                  = 36

6 0
3 years ago
Sara has two puppies, Sonny &amp; Cher. Every month she purchases enough food to feed her puppies for the month. Sonny eats 8.25
Ipatiy [6.2K]

The amount of Cute Puppy food needed for the  year is 1140 cans.

<h3>Determining the total number of cans that the dogs eat in a year</h3>

The first step in determining the total number of cans needed in year is to calculate the sum of dog food consumed in a week.

8.25 + 15.5 = 23.75 cans

The second step is to determine the total cans the dogs consume in a month

23.75 x 4 = 95

The third second step is to determine the total cans the dogs consume in a year:

95 x 12 = 1140 cans

<h3>Cost of cute puppy food needed in a year</h3>

1140 x ($21 /40) = $598.50

To learn more about addition, please check: brainly.com/question/19628082

3 0
2 years ago
The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents
nirvana33 [79]

Since x represents the year, year 15 will be 15 years.

Plug in "15" as your "x"

y = -2(15)^2 + 36(15) + 6

15^2 = 225 (Exponents come before multiplication)

y = -2(225) + 36(15) + 6

y = -450 + 540 + 6

y = 90 + 6

y = 96

<em>The answer is B</em>

3 0
3 years ago
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