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julia-pushkina [17]
3 years ago
9

Fill in the table for the exponential function given f(x)=3(2)^n

Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

  • So we have 2^-1. This is the same as 3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2} = a
  • Now do 3(2^0) = 3 = b
  • Then do 3(2^1) = 6 = c
  • Finally do 3(2^2) = 12 = d
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Determine the area of a triangle with A=27.8 B = 107.3 c=4<br><br><br> Answer: B) 10 units^2
Mila [183]

Correct question:

Determine the area of a triangle with A=27.8° B = 107.3° c=4

Answer:

Area of the triangle is 5.04 units²

Step-by-step explanation:

Given;

A = 27.8°

B = 107.3°

C = 180 - (27.8 + 107.3) = 44.9°

c = 4

Now, we determine the remaining two sides of the triangle using sine rule

\frac{Sine \ A}{a} = \frac{Sine \ C}{c} \\\\a =  \frac{Sine A*\ c}{Sine C} = \frac{Sine(27.8) \ *4}{Sine(44.9) } =2.64\\\\\frac{Sine \ B}{b} = \frac{Sine \ C}{c}\\\\b=  \frac{Sine B*\ c}{Sine C} = \frac{Sine(107.3) \ *4}{Sine(44.9) } =5.41

Apply Hero's formula;

A = \sqrt{s(s-a)(s-b)(s-c)} \\\\s = \frac{a+b+c}{2} = \frac{2.64\ +\ 5.41\ +\ 4}{2} = 6.025\\\\A = \sqrt{6.025(6.025-2.64)(6.025-5.41)(6.025-4)} \\\\A = \sqrt{6.025(3.385)(0.615)(2.025)} \\\\A = \sqrt{25.3989} = 5.04 \ units^2

Therefore, area of the triangle is 5.04 units²

5 0
4 years ago
2(x - 4) = 2(-2x + 1)
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Answer:

?

Step-by-step explanation:

4 0
3 years ago
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A submarine is positioned at 300 feet below sea level. A bird is flying 100 foot above sea
alexandr1967 [171]

Answer:

h = 400 ft

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Step-by-step explanation:

Given;

The submarine is 300 feet below sea level

Vertical distance between submarine and sea level h1 = 300 feet

The bird is flying at 100 feet above sea level

Vertical distance between the sea level and the bird h2 = 100 feet

The total vertical distance between the bird and the submarine is the sum of the vertical distance between submarine and sea level and the vertical distance between the sea level and the bird.

h = h1 + h2

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h = 400 ft

The bird is 400 ft above the submarine

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3 years ago
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Answer:

y-intercept is 4

(0,4)

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3 years ago
What's the product of 42⁄3 and 111⁄4 ?
Fofino [41]

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4 0
4 years ago
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